andersonbcdefg/bert-long-training-data-tokenized

input_ids sequencelengths 61 2.05k	attention_mask sequencelengths 61 2.05k	token_type_ids sequencelengths 61 2.05k
[ 101, 2609, 4684, 9163, 2012, 17765, 1010, 5826, 2024, 2081, 1010, 1998, 4895, 21565, 2006, 2813, 2395, 1010, 3352, 1037, 4256, 2012, 17765, 22818, 2003, 2641, 1996, 5662, 1997, 3045, 1996, 15213, 1012, 2023, 2991, 1010, 1999, 1037, 28607, 2832, 1010, 2070, 2531, 12706, 2097, 2022, 4217, 2000, 4374, 2023, 3585, 7281, 1010, 2190, 14138, 4138, 3477, 14555, 1998, 2019, 2503, 2650, 2000, 1996, 2327, 5841, 2012, 1996, 2194, 1012, 2054, 2261, 2648, 17765, 2113, 2003, 2008, 2023, 7281, 2064, 2036, 2022, 2579, 2185, 1012, 2004, 2116, 2004, 3438, 17765, 12706, 2071, 2022, 10040, 1997, 2037, 13797, 2023, 2095, 2000, 2191, 2126, 2005, 2047, 2668, 1010, 2111, 2007, 2034, 11774, 3716, 1997, 1996, 2832, 2360, 1012, 2503, 1996, 3813, 1010, 1996, 2832, 2003, 2124, 2004, 1523, 2139, 1011, 27001, 1012, 1524, 17765, 2515, 2025, 26056, 2040, 2003, 2053, 2936, 1037, 4256, 1010, 1998, 2116, 2693, 2006, 2000, 5841, 6974, 1025, 2070, 2994, 1010, 4129, 2261, 1997, 2037, 6580, 1012, 1523, 1045, 2031, 2814, 2040, 2031, 2042, 2139, 1011, 12404, 2040, 2024, 2145, 2045, 1010, 1998, 2087, 2111, 2503, 2228, 2027, 2024, 2145, 5826, 1010, 1524, 2056, 2028, 2280, 17765, 3237, 1010, 2040, 3764, 2069, 2006, 1996, 4650, 1997, 2019, 16585, 16383, 1012, 1523, 2009, 2003, 2242, 2017, 2074, 2123, 1521, 1056, 2831, 2055, 1012, 1524, 17765, 2038, 5560, 3486, 1010, 2199, 5126, 1010, 2021, 2069, 18034, 2030, 2061, 5826, 1012, 1996, 2280, 9837, 23660, 2888, 1049, 1012, 2703, 3385, 3781, 1012, 1998, 2728, 1041, 1012, 20524, 1010, 1998, 2280, 18079, 1012, 6285, 1055, 1012, 2522, 15378, 3170, 1997, 2047, 3933, 1010, 2085, 2708, 3237, 1997, 3361, 3813, 1049, 2546, 3795, 1010, 2020, 2035, 5826, 1012, 2009, 2064, 2202, 2086, 2000, 2191, 4256, 1010, 1998, 2108, 3724, 2013, 1996, 5110, 4418, 2064, 2022, 16255, 8450, 1012, 1523, 2108, 4256, 2012, 17765, 2003, 1996, 26007, 1997, 2813, 2395, 1025, 2065, 2017, 2191, 2009, 1010, 2017, 2024, 2641, 2275, 2005, 2166, 1010, 1524, 2056, 2745, 2852, 2483, 26895, 1010, 1037, 5873, 2934, 2012, 4748, 2884, 21850, 2118, 1998, 1037, 3026, 6605, 2472, 2012, 4562, 26261, 23549, 2077, 2008, 3813, 7798, 1999, 2263, 1012, 1523, 2000, 2031, 2009, 2579, 2185, 2052, 2074, 2022, 14886, 2000, 2019, 3265, 1012, 2045, 2003, 2074, 2053, 2060, 2773, 2005, 2009, 1012, 1524, 1996, 3361, 6271, 2064, 2022, 6937, 2004, 2092, 1012, 12706, 10040, 1997, 5386, 2052, 9279, 2037, 2918, 10300, 1010, 5560, 1002, 3263, 1010, 2199, 1010, 2021, 2037, 29563, 2071, 2022, 15911, 1010, 9280, 22173, 2068, 8817, 1997, 6363, 1999, 1037, 2204, 2095, 1012, 2096, 8550, 1996, 28821, 3570, 1997, 4256, 1010, 1998, 2059, 3974, 2009, 1010, 2003, 5121, 2025, 4895, 26362, 1011, 1997, 2012, 2797, 3361, 1998, 2375, 9786, 2006, 2813, 2395, 1010, 17765, 1521, 1055, 5386, 2832, 4832, 2041, 2005, 2049, 2946, 1998, 20014, 14735, 5666, 1012, 17765, 20777, 2041, 5826, 2138, 2009, 2003, 5191, 2008, 2065, 1996, 5386, 4150, 2205, 2502, 1010, 2009, 2097, 4558, 2049, 17053, 2102, 1998, 2468, 2625, 1997, 1037, 14354, 2389, 6994, 2005, 10904, 2039, 1011, 1998, 1011, 2272, 2869, 1010, 2111, 2920, 1999, 1996, 2832, 2360, 1012, 2065, 2205, 2116, 2111, 2994, 1010, 2009, 9005, 1037, 8833, 3900, 2213, 1012, 1996, 2779, 7470, 1997, 1037, 4256, 2003, 2055, 2809, 2086, 1010, 1999, 2112, 2138, 1997, 3019, 2012, 18886, 3508, 1998, 5075, 2015, 1012, 17765, 25297, 2015, 2036, 3602, 2027, 2031, 2054, 2027, 2655, 2019, 1523, 2039, 1011, 1998, 1011, 2041, 1524, 3226, 1010, 2877, 2000, 1996, 3161, 2968, 1997, 1996, 4770, 1012, 6302, 1996, 2047, 2896, 7128, 4075, 2005, 17765, 22818, 1010, 2073, 3332, 5328, 2097, 2022, 2012, 1037, 12882, 1012, 4923, 6487, 8076, 2005, 1996, 2047, 2259, 2335, 1996, 2832, 1997, 29525, 3436, 2047, 5347, 2005, 4256, 1998, 10561, 2029, 4493, 5826, 2442, 2175, 2211, 1999, 17300, 1999, 3522, 3134, 1010, 2429, 2000, 2111, 2007, 3716, 1997, 1996, 2832, 1010, 2029, 3138, 2173, 2296, 2048, 2086, 1012, 2027, 3764, 2006, 1996, 4650, 1997, 2019, 16585, 16383, 1012, 1996, 2230, 5826, 2097, 2087, 3497, 2022, 2623, 1999, 2281, 1012, 5347, 2024, 13224, 2006, 2116, 11647, 1010, 3952, 2037, 3361, 6691, 2000, 1996, 3813, 1012, 2021, 9559, 1998, 3891, 10489, 1517, 2040, 2024, 2025, 2502, 6599, 6443, 1517, 2064, 2036, 2191, 2009, 2000, 1996, 5110, 4418, 1012, 1996, 12706, 3625, 2005, 2770, 1996, 4256, 2832, 2023, 2095, 2024, 1996, 3580, 3242, 3549, 1010, 1046, 1012, 2745, 6473, 1010, 2745, 1055, 1012, 19427, 1998, 2198, 1055, 1012, 11417, 11144, 1025, 1996, 2132, 1997, 2529, 4219, 1010, 13257, 1059, 1012, 6201, 1025, 1998, 1996, 2924, 1521, 1055, 2343, 1010, 5639, 1040, 1012, 2522, 7295, 1012, 17765, 4050, 20362, 2382, 2030, 2061, 5826, 2296, 2048, 2086, 1010, 2056, 2216, 2111, 2040, 2649, 1996, 2832, 1012, 1996, 2193, 2003, 3517, 2000, 2022, 6022, 3020, 2023, 2095, 2138, 8491, 3026, 12706, 2031, 2187, 1996, 3813, 2004, 1037, 23667, 17701, 2232, 4610, 1998, 9662, 6089, 5787, 2037, 6695, 6974, 1012, 9268, 5826, 2066, 2023, 2003, 4310, 2000, 17765, 2426, 7271, 7007, 9786, 1012, 2043, 3316, 2175, 2270, 1010, 2027, 8328, 1996, 2797, 5386, 2291, 1010, 1998, 6095, 1997, 1996, 2194, 2003, 4015, 2000, 15337, 1012, 17765, 1521, 1055, 6095, 2001, 2036, 4015, 2000, 15337, 1010, 2021, 2009, 2580, 1037, 8893, 4256, 2944, 2004, 2019, 20438, 2005, 5126, 1012, 2216, 3183, 17765, 2515, 2025, 2215, 2000, 2562, 2024, 3497, 2000, 2022, 5168, 2409, 1999, 1996, 2746, 3134, 1012, 2169, 3663, 2003, 8971, 11543, 1010, 1996, 2111, 2007, 3716, 1997, 1996, 2832, 2360, 1012, 2070, 5826, 2024, 2445, 2051, 2000, 2424, 2060, 5841, 2648, 1996, 3813, 1012, 2500, 2024, 2409, 2027, 2097, 2025, 2022, 2081, 4256, 1998, 2024, 2356, 2000, 5136, 2054, 2027, 2215, 2000, 2079, 2279, 2306, 1996, 2194, 1012, 2096, 17765, 2003, 2006, 2650, 2000, 6366, 2116, 2062, 12706, 2084, 5156, 1010, 1996, 2832, 2003, 1999, 2049, 2220, 5711, 1998, 2053, 2345, 6567, 2031, 2042, 2081, 1010, 2122, 2111, 14046, 1012, 1037, 17765, 14056, 6430, 2000, 7615, 2006, 2129, 2009, 27034, 1998, 20362, 5826, 1012, 1996, 2832, 2003, 2012, 1996, 2540, 1997, 17765, 1521, 1055, 3226, 1010, 1037, 2126, 2005, 1996, 3813, 2000, 10377, 1998, 9279, 2327, 5848, 1012, 17765, 2001, 2028, 1997, 1996, 2197, 1997, 1996, 2502, 2813, 2395, 13797, 2000, 2175, 2270, 1010, 4855, 6661, 1999, 2639, 1012, 2043, 2009, 2001, 2797, 1010, 1996, 5826, 2020, 1996, 5608, 1010, 6631, 1999, 1996, 11372, 1010, 1998, 1999, 2070, 3572, 2383, 2000, 2404, 1999, 2769, 2000, 5370, 2039, 6409, 1012, 2000, 9279, 2008, 2136, 4382, 2004, 1037, 2270, 2194, 1010, 17765, 2506, 2000, 2171, 5826, 1012, 1999, 2639, 1010, 2045, 2020, 19594, 1012, 2664, 2045, 2024, 5966, 2013, 2627, 6078, 1012, 2043, 17765, 2001, 1037, 2797, 5386, 1010, 2009, 2001, 4678, 2008, 1037, 4256, 2052, 2022, 2356, 2000, 2681, 1012, 6302, 2280, 5826, 2012, 1996, 3813, 2421, 1010, 2013, 2327, 1010, 1996, 2280, 9837, 23660, 2888, 1049, 1012, 2703, 3385, 3781, 1012, 1998, 2728, 1041, 1012, 20524, 1010, 1998, 2047, 3933, 1521, 1055, 2280, 3099, 1010, 6285, 1055, 1012, 2522, 15378, 3170, 1012, 4923, 2013, 2327, 1024, 4080, 5292, 14343, 2099, 1013, 22950, 2739, 1006, 1016, 1007, 1025, 2585, 17765, 2005, 1996, 2047, 2259, 2335, 1523, 2320, 2017, 2081, 4256, 1010, 2017, 4050, 3394, 2004, 1037, 4256, 1010, 1524, 2056, 2178, 2280, 17765, 3237, 2040, 2109, 2000, 2022, 2920, 1999, 1996, 2832, 1012, 1523, 2065, 2057, 2356, 2619, 2000, 2681, 1010, 2009, 2001, 2138, 2057, 2018, 2428, 14180, 2039, 1998, 1996, 2711, 2347, 1521, 1056, 4815, 2037, 3635, 1012, 1524, 2009, 2038, 2042, 1037, 5931, 2095, 2005, 17765, 1012, 1999, 2251, 1010, 2009, 3825, 1002, 13274, 2454, 2000, 7392, 2942, 9861, 13519, 2008, 2009, 2018, 4241, 5669, 7846, 2011, 4855, 14344, 12012, 2096, 7989, 2000, 2191, 4187, 19380, 2015, 1012, 1996, 3813, 2106, 2025, 6449, 2030, 9772, 8056, 1012, 2145, 1010, 2130, 1999, 1996, 5409, 1997, 2086, 1010, 1996, 3382, 2000, 2004, 23865, 2046, 1996, 2797, 5386, 2012, 17765, 2003, 1037, 4121, 3932, 1012, 5347, 2064, 2022, 2039, 2005, 5386, 2048, 2030, 2130, 2093, 2335, 2077, 2633, 2108, 4217, 1012, 5826, 2131, 5211, 6695, 2025, 3253, 2000, 2060, 5126, 1010, 1998, 2024, 4050, 1996, 3284, 3825, 2012, 1996, 3813, 1012, 17765, 2097, 2130, 2338, 7251, 2005, 2068, 2012, 19964, 2047, 2259, 7884, 1012, 1037, 2502, 3477, 10259, 2003, 2025, 12361, 1010, 2174, 1012, 2043, 1996, 3813, 2515, 2025, 2079, 2092, 1010, 5826, 7166, 2000, 4562, 1996, 7987, 16671, 1997, 2009, 1012, 2327, 17765, 12706, 2106, 2025, 4374, 29563, 1999, 2263, 1010, 1996, 4672, 1997, 1996, 3361, 5325, 1012, 2021, 1999, 2289, 1010, 1037, 9484, 2095, 2005, 17765, 1010, 1996, 3813, 2275, 4998, 1002, 2322, 1012, 2539, 4551, 2005, 9430, 1998, 6666, 1010, 1998, 2049, 2708, 3237, 1010, 6746, 1039, 1012, 8744, 7959, 2378, 1010, 2165, 2188, 1002, 6273, 1012, 1019, 2454, 1999, 4518, 1998, 5356, 1012, 5347, 2005, 4256, 2024, 29525, 3064, 2011, 2783, 5826, 1012, 1996, 3319, 2832, 2003, 2124, 2503, 17765, 2004, 1523, 2892, 1011, 21766, 15379, 2290, 1010, 1524, 1037, 4431, 2000, 1037, 17519, 1999, 2958, 1012, 1037, 2261, 3634, 2111, 2024, 4050, 4222, 2306, 1996, 2878, 2194, 1010, 1998, 1996, 2193, 2003, 2776, 1059, 16584, 14782, 2091, 2000, 2055, 2531, 1012, 2169, 2533, 4012, 22090, 2015, 1037, 2862, 1997, 4022, 5347, 1010, 2007, 7760, 1998, 2836, 4391, 1012, 5826, 1999, 2178, 2533, 3319, 2009, 1012, 5347, 2024, 2025, 10263, 1010, 1998, 1999, 2116, 3572, 2024, 11499, 2027, 2024, 2130, 2039, 2005, 4256, 1012, 2043, 2345, 6567, 2024, 2081, 1010, 2009, 2003, 2788, 2720, 1012, 8744, 7959, 2378, 2040, 7807, 1996, 2204, 2739, 2000, 1996, 2047, 5826, 1012, 2261, 5347, 2412, 2424, 2041, 2339, 2027, 4771, 1996, 3013, 1012, 1998, 17765, 17472, 2069, 27427, 14194, 28313, 1010, 2025, 2216, 2040, 2031, 2042, 3718, 1012, 2145, 1010, 2045, 2089, 2022, 1037, 2261, 2425, 22059, 5751, 2023, 2095, 1012, 17765, 3728, 2333, 2000, 1037, 2047, 2311, 1010, 2074, 4084, 2185, 2013, 1996, 6842, 2314, 1999, 2896, 7128, 1012, 6058, 4822, 2024, 2524, 2000, 2272, 2011, 1010, 1998, 4050, 2445, 2069, 2000, 5826, 1012, 17765, 25297, 2015, 2024, 2525, 28699, 10924, 2008, 2139, 1011, 12404, 12706, 2040, 5630, 2000, 2994, 2097, 2031, 2000, 2507, 2039, 2037, 3332, 3193, 1012, 1037, 2544, 1997, 2023, 3720, 3544, 1999, 6140, 2006, 2244, 2410, 1010, 2230, 1010, 2006, 3931, 17350, 1997, 1996, 2047, 2259, 3179, 2007, 1996, 17653, 1024, 2012, 17765, 1010, 5826, 2024, 2081, 1010, 1998, 4895, 21565, 1012, 2344, 25364, 2015, 1064, 2651, 1005, 1055, 3259, 1064, 4942, 29234, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 19118, 24456, 2003, 2556, 1999, 3053, 2035, 26524, 13321, 2015, 1006, 12849, 9148, 6962, 3211, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 18827, 1033, 1007, 1010, 2021, 2049, 14260, 4972, 2031, 2025, 2042, 3449, 14194, 8524, 3064, 2138, 1997, 2049, 5866, 10988, 1012, 4659, 4867, 2007, 1037, 2146, 20996, 3367, 3217, 3540, 14066, 2140, 6698, 1010, 1996, 19118, 24456, 2003, 3697, 2000, 2817, 2007, 3115, 4649, 3258, 2030, 3405, 5461, 1999, 1037, 14260, 20680, 1012, 11265, 21017, 2389, 16907, 5461, 1010, 2174, 1010, 2031, 3936, 2116, 5919, 1997, 19118, 21493, 4984, 2854, 1010, 1998, 2087, 5328, 2055, 19118, 21493, 4972, 2024, 2241, 2006, 2049, 2522, 28228, 9289, 20831, 1006, 3968, 9050, 9589, 1998, 7939, 10464, 1010, 1031, 1030, 29491, 2549, 1033, 1025, 13675, 6799, 1998, 15259, 1010, 1031, 1030, 29491, 2509, 1033, 1025, 28103, 3111, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22932, 1033, 1007, 1010, 2029, 2421, 2195, 4310, 6970, 29122, 2483, 27921, 2594, 21796, 1006, 8117, 7405, 25955, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21486, 1033, 1025, 5622, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 22889, 10698, 7974, 5488, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23499, 1033, 1025, 6517, 15249, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1012, 2478, 16127, 1011, 2241, 16907, 5461, 1999, 11432, 1010, 2057, 3728, 2988, 2008, 1996, 23290, 1011, 1059, 2232, 2555, 3934, 6118, 2000, 1996, 24528, 28277, 19118, 24456, 1010, 2021, 2069, 17541, 2000, 1996, 12997, 27572, 24932, 2389, 19118, 24456, 1006, 3499, 4710, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2549, 1033, 1025, 5624, 23584, 1998, 3499, 4710, 1010, 1031, 1030, 29491, 2475, 1033, 1025, 3044, 1998, 3499, 4710, 1010, 1031, 1030, 1038, 23632, 1033, 1025, 3044, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23777, 1033, 1007, 1012, 2096, 1996, 23290, 1011, 1059, 2232, 2555, 2515, 2025, 4374, 28309, 12247, 21796, 2013, 1996, 24528, 28277, 19118, 24456, 1010, 2009, 2003, 6118, 5110, 16952, 2094, 2011, 1996, 12997, 27572, 24932, 2389, 19118, 24456, 1012, 2011, 5688, 1010, 19118, 21493, 7264, 2007, 1996, 23290, 18921, 17960, 2497, 4655, 2024, 20172, 20288, 1998, 2024, 7580, 12997, 27572, 24932, 2389, 1012, 1999, 2804, 1010, 1996, 1059, 24158, 5484, 2555, 1999, 1055, 2487, 8460, 17132, 2003, 5110, 16952, 2094, 2011, 1996, 12997, 27572, 24932, 2389, 19118, 24456, 2130, 2295, 1055, 2487, 17132, 2515, 2025, 2622, 2000, 1996, 19118, 24456, 1999, 2593, 14130, 1012, 2122, 9556, 2024, 3278, 2138, 4654, 24759, 6525, 7062, 1059, 24158, 6834, 2003, 2019, 3161, 16792, 2832, 2008, 5942, 3086, 1998, 2003, 17758, 2135, 1011, 14206, 2005, 1996, 3800, 1997, 13868, 11937, 6593, 9463, 2592, 2055, 1996, 13589, 2838, 1997, 1996, 2334, 4044, 1006, 15805, 2389, 1998, 26766, 2078, 1010, 1031, 1030, 1038, 18139, 1033, 1025, 11857, 7076, 2239, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 16703, 1033, 1007, 1012, 2011, 7831, 1010, 8469, 3372, 18921, 17960, 2497, 5750, 2024, 6524, 2065, 2412, 2109, 2109, 2000, 23084, 1996, 13589, 2838, 1997, 2093, 1011, 8789, 2686, 1010, 2021, 2024, 3701, 4986, 2007, 4637, 1998, 3048, 1996, 2303, 2083, 2686, 1012, 1996, 5456, 1997, 2019, 6970, 29122, 2483, 27921, 2594, 19118, 24456, 1011, 2241, 12732, 2008, 8539, 1996, 2522, 28228, 9289, 4655, 2008, 2832, 1059, 24158, 5484, 1011, 3141, 2592, 9469, 2149, 2000, 1044, 22571, 14573, 2229, 4697, 2008, 1996, 19118, 24456, 2323, 2031, 2714, 4984, 7264, 2007, 1996, 5107, 2291, 1012, 2066, 1059, 24158, 6834, 5248, 1010, 4654, 24759, 6525, 7062, 3239, 5750, 5478, 3086, 1998, 2024, 4986, 2007, 8851, 13868, 5107, 2592, 2000, 23084, 1037, 5041, 13589, 2555, 1006, 18178, 2721, 13793, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2487, 1033, 1025, 9261, 1998, 8872, 18155, 2050, 1010, 1031, 1030, 1038, 2575, 1033, 1025, 7825, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22203, 1033, 1007, 1012, 1999, 11432, 1996, 19118, 24456, 8267, 1037, 2261, 21796, 2013, 5107, 2181, 2324, 2497, 1010, 2021, 8990, 3904, 2013, 2181, 2459, 1006, 4679, 1998, 29536, 13512, 1010, 1031, 1030, 1038, 24594, 1033, 1025, 11782, 1998, 11030, 1010, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 1996, 23420, 2112, 1997, 1996, 9350, 19118, 24456, 3934, 2000, 5107, 17132, 1006, 5622, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 6517, 15249, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1010, 2021, 3251, 1996, 19118, 24456, 2038, 21358, 7512, 4765, 2030, 1041, 12494, 4765, 7264, 2007, 1996, 10768, 2546, 3464, 4242, 1012, 5262, 1010, 2053, 2951, 5769, 3251, 1996, 9350, 19118, 24456, 2003, 2112, 1997, 1037, 4487, 6508, 2532, 20746, 6970, 29122, 2483, 27921, 2594, 4984, 2008, 2071, 13530, 1996, 10768, 2546, 1998, 1058, 2487, 2752, 1012, 3568, 1010, 2000, 3231, 2023, 10744, 1010, 2057, 19737, 14405, 10624, 24170, 1998, 22307, 24170, 7637, 2869, 2046, 19389, 2135, 1011, 4225, 4573, 1999, 10768, 2546, 1998, 1058, 2487, 1012, 2057, 4102, 1996, 3463, 1010, 2247, 2007, 4895, 2890, 6442, 2098, 2951, 2013, 2256, 3025, 9350, 2817, 1006, 3044, 1998, 3499, 4710, 1010, 1031, 1030, 1038, 23632, 1033, 1007, 1010, 2000, 16907, 2951, 7801, 2013, 1996, 5297, 8000, 4167, 20831, 11568, 1012, 2256, 9556, 5769, 2008, 1996, 19118, 24456, 2003, 2112, 1997, 2019, 6970, 29122, 2483, 27921, 2594, 4984, 2008, 12939, 1996, 10768, 2546, 1999, 2028, 14130, 2000, 19818, 1996, 2168, 2592, 2000, 1996, 1058, 2487, 1998, 10768, 2546, 2522, 28228, 9289, 2752, 1999, 1996, 2060, 14130, 1012, 4475, 1998, 4725, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 28141, 16907, 7885, 2020, 2864, 2006, 2093, 4639, 3287, 11867, 29181, 5657, 1011, 4830, 20609, 11432, 1006, 2798, 2314, 1007, 15243, 3998, 1011, 1011, 8698, 1043, 1012, 2035, 8853, 23758, 2098, 2000, 2120, 2820, 1997, 2740, 4781, 1998, 2020, 4844, 2011, 9502, 2110, 2118, 1032, 1005, 1055, 12148, 4111, 2729, 1998, 2224, 2837, 1012, 4111, 5970, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 11432, 2020, 3322, 2019, 4355, 27065, 3550, 3081, 26721, 7606, 15431, 1006, 10047, 1007, 13341, 1997, 1037, 3816, 5576, 1997, 17710, 15464, 3170, 16731, 2140, 1006, 2871, 11460, 1013, 4705, 1007, 1998, 1060, 23943, 21254, 1006, 2260, 11460, 1013, 4705, 1007, 1012, 3176, 10047, 13341, 2015, 1997, 2012, 18981, 3170, 25003, 29607, 1006, 1014, 1012, 1019, 11460, 1013, 4705, 1007, 2000, 5787, 22953, 12680, 4818, 3595, 8496, 1010, 20647, 14074, 8322, 3385, 2063, 13365, 17344, 1006, 1019, 11460, 1013, 4705, 1007, 2000, 5547, 4167, 18348, 1010, 1998, 4372, 3217, 10258, 11636, 6305, 2378, 1006, 1016, 1012, 1019, 11460, 1013, 4705, 1007, 2000, 4652, 8985, 2020, 2445, 2077, 20014, 19761, 3436, 1996, 19817, 15395, 2050, 2083, 1996, 8700, 17790, 1998, 18834, 11733, 3436, 1996, 9350, 2007, 7722, 1012, 2044, 6885, 1996, 4111, 1999, 1037, 12991, 2696, 9048, 2278, 6602, 1010, 2049, 2540, 3446, 1010, 16464, 3446, 1010, 2203, 1011, 15065, 6351, 14384, 1010, 1998, 2668, 7722, 2020, 17785, 1006, 7505, 5856, 19510, 1007, 2802, 1996, 6388, 7709, 1012, 2303, 4860, 2001, 12222, 2011, 1037, 28667, 9080, 15113, 4987, 2000, 1037, 2188, 14573, 2121, 7712, 8768, 2872, 2006, 1996, 12759, 2217, 1997, 1996, 4111, 1025, 1037, 2980, 2300, 8768, 2001, 2872, 7650, 1996, 9350, 2004, 2092, 1012, 6728, 11039, 8865, 7712, 1051, 18447, 3672, 2001, 4162, 2000, 4652, 9781, 15879, 17462, 1012, 2044, 1999, 20614, 2075, 20934, 8197, 7903, 18175, 2046, 1996, 21065, 1010, 1037, 3054, 4179, 4297, 19969, 2001, 2864, 2000, 5107, 4697, 1996, 13675, 7088, 2819, 1010, 1998, 1037, 2598, 11224, 2001, 12889, 2046, 1037, 13675, 7088, 11439, 8029, 2058, 1996, 8292, 2890, 17327, 2819, 1012, 13675, 7088, 11439, 28397, 2020, 2036, 2081, 2058, 5013, 17132, 1006, 1015, 1011, 1011, 1017, 3461, 20996, 20528, 2140, 1010, 1014, 1012, 1019, 1011, 1011, 1017, 3461, 11457, 2000, 7987, 13910, 2863, 1007, 1998, 5107, 17132, 1006, 1019, 1011, 1011, 1021, 3461, 6187, 14066, 2140, 1010, 1017, 1011, 1011, 1019, 3461, 11457, 2000, 7987, 13910, 2863, 1007, 1999, 2119, 14130, 2015, 2429, 2000, 12093, 1999, 6643, 20303, 2891, 1998, 7908, 1006, 1031, 1030, 1038, 22022, 1033, 1007, 1012, 26721, 26775, 27532, 12702, 16643, 12274, 13490, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 26721, 26775, 27532, 12702, 16643, 12274, 13490, 1006, 24582, 5244, 1007, 2001, 2589, 1999, 11432, 2000, 4949, 5013, 17132, 1012, 12702, 16643, 12274, 13490, 2001, 2864, 2104, 17710, 15464, 3170, 1011, 1060, 23943, 21254, 2019, 25344, 2000, 3965, 18921, 4502, 2860, 1010, 1059, 24158, 5484, 1010, 2030, 3239, 5750, 1012, 2206, 12702, 16643, 12274, 13490, 12375, 1010, 1996, 2019, 4355, 20086, 2110, 2001, 5224, 2007, 1032, 1066, 1015, 1003, 11163, 10258, 4648, 2638, 1012, 2522, 28228, 9289, 20858, 2001, 8564, 2011, 1032, 1066, 1015, 1049, 29739, 28413, 1011, 3561, 3221, 8667, 14581, 1012, 2119, 2460, 1006, 3770, 1011, 5796, 1010, 5539, 22100, 1007, 1998, 2146, 1006, 1015, 1011, 1055, 1010, 2531, 22100, 1007, 8187, 4499, 2020, 8564, 1012, 1037, 12170, 21890, 19570, 5377, 2783, 3120, 1006, 8670, 2243, 8139, 1010, 18667, 2072, 1011, 1016, 1007, 2001, 2109, 2000, 3231, 2783, 3798, 1997, 2184, 1011, 1011, 5539, 1166, 2050, 2000, 6709, 1996, 7290, 11207, 2012, 2169, 2609, 5214, 1997, 12005, 26243, 2075, 1037, 2929, 1012, 20858, 2001, 4146, 2012, 3674, 4573, 1999, 2169, 4111, 2061, 2008, 7637, 2099, 13341, 2015, 2071, 2022, 22493, 2306, 1996, 4539, 2555, 2000, 4468, 7637, 2099, 17271, 4270, 2046, 4193, 15066, 1012, 1996, 12991, 2696, 9048, 2278, 12093, 2008, 23408, 23461, 5750, 2020, 2714, 2000, 3025, 4311, 1006, 2534, 1998, 11409, 16425, 4747, 2213, 1010, 1031, 1030, 29491, 2620, 1033, 1025, 11265, 10354, 7952, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22394, 1033, 1025, 7570, 12494, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2683, 1033, 1025, 7987, 15937, 2102, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2683, 1033, 1025, 15030, 4757, 1998, 29058, 1010, 1031, 1030, 29491, 2581, 1033, 1007, 1012, 28688, 2015, 2020, 10959, 28721, 2000, 1996, 24624, 2140, 3302, 1998, 12889, 2000, 11143, 1006, 1032, 1066, 1015, 3461, 1007, 2008, 17254, 2000, 6741, 1058, 1010, 2029, 3397, 2522, 28228, 3597, 8569, 20850, 2906, 1998, 2522, 28228, 13186, 26787, 2140, 15698, 1012, 1996, 28688, 2001, 3322, 2872, 1016, 1011, 1011, 1017, 3461, 11457, 2000, 1996, 3054, 4179, 2000, 6709, 1996, 18921, 4502, 2860, 6630, 1006, 23290, 1011, 1042, 2361, 1007, 1012, 2062, 23828, 4573, 1006, 1015, 1011, 1011, 1016, 3461, 11457, 1007, 23408, 23461, 4766, 1059, 24158, 5484, 2128, 6494, 22014, 1006, 23290, 1011, 2128, 1007, 2076, 3770, 1011, 5796, 20858, 4499, 1012, 2012, 1996, 2087, 23828, 12093, 1006, 1032, 1066, 1015, 3461, 11457, 1007, 1010, 1996, 28688, 2001, 3935, 6748, 2000, 5646, 1996, 5013, 15066, 1999, 1996, 23828, 2924, 1997, 19124, 17132, 1012, 2012, 4573, 2284, 1015, 1012, 1019, 1011, 1011, 1017, 1012, 1014, 3461, 20996, 20528, 2140, 1010, 20858, 2012, 11143, 1015, 1012, 1019, 1011, 1011, 1016, 1012, 1019, 3461, 2917, 1996, 24624, 2140, 3302, 23408, 23461, 3239, 5750, 5710, 2000, 1996, 6248, 3239, 1012, 2582, 6187, 14066, 9215, 1010, 1015, 1011, 1055, 2146, 3345, 20858, 23408, 23461, 23563, 14797, 1059, 24158, 5484, 5750, 2012, 23290, 1006, 23290, 1011, 1054, 2860, 1007, 4573, 2284, 1014, 1012, 1019, 1011, 1011, 1015, 1012, 1021, 3461, 20996, 20528, 2140, 2000, 7987, 13910, 2863, 1012, 1059, 24158, 5484, 5750, 2012, 23290, 1011, 1054, 2860, 4573, 2020, 4703, 17758, 1006, 15030, 4757, 1998, 29058, 1010, 1031, 1030, 29491, 2581, 1033, 1007, 1012, 2119, 10768, 2546, 1998, 23290, 1011, 1054, 2860, 2024, 2284, 2784, 1999, 1996, 23828, 2924, 1997, 19124, 17132, 1010, 2021, 2027, 2031, 5664, 13100, 2247, 1996, 20996, 20528, 2140, 1998, 6187, 14066, 2140, 8123, 1012, 4469, 16882, 11265, 21017, 2389, 5633, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2000, 6709, 4573, 1999, 3078, 5107, 17132, 1006, 1058, 2487, 1007, 1010, 1996, 2168, 28688, 2015, 2109, 2005, 24582, 5244, 12375, 2020, 2109, 2000, 4949, 5107, 17132, 1012, 2044, 12532, 10087, 11873, 1996, 28688, 2013, 1996, 5377, 2783, 3120, 1010, 2009, 2001, 4198, 2000, 1996, 4641, 26702, 1997, 1037, 4830, 5289, 22686, 1006, 2944, 10545, 2692, 1007, 2061, 2008, 4469, 16882, 11889, 2015, 2071, 2022, 26986, 1010, 2316, 15194, 21839, 1006, 3998, 1011, 1011, 11910 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 1008, 9385, 1006, 1039, 1007, 2355, 1044, 22571, 10222, 3686, 4297, 1012, 2035, 2916, 9235, 1012, 1008, 1026, 1052, 1028, 1008, 7000, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1000, 6105, 1000, 1007, 1025, 1008, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 2007, 1996, 6105, 1012, 1008, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 1008, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 1008, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 4007, 1008, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1000, 2004, 2003, 1000, 3978, 1010, 1008, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 1008, 2156, 1996, 6105, 2005, 1996, 3563, 2653, 8677, 6656, 2015, 1998, 1008, 12546, 2104, 1996, 6105, 1012, 1008, 1013, 7427, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 21183, 12146, 1025, 12324, 9262, 1012, 3793, 1012, 3722, 13701, 14192, 4017, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 3058, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 2862, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 19723, 10288, 1012, 5418, 1025, 12324, 11924, 1012, 10439, 1012, 4023, 1025, 12324, 11924, 1012, 10439, 1012, 4023, 24805, 4590, 1025, 12324, 11924, 1012, 10439, 1012, 4023, 24805, 4590, 1012, 2770, 10230, 4939, 14876, 1025, 12324, 11924, 1012, 10439, 1012, 9499, 27184, 8649, 1025, 12324, 11924, 1012, 10439, 1012, 5082, 27184, 8649, 1025, 12324, 11924, 1012, 4180, 1012, 6123, 1025, 12324, 11924, 1012, 8389, 1012, 28667, 2102, 1025, 12324, 11924, 1012, 5658, 1012, 20831, 24805, 4590, 1025, 12324, 11924, 1012, 5658, 1012, 2897, 2378, 14876, 1025, 12324, 11924, 1012, 9808, 1012, 3857, 1025, 12324, 11924, 1012, 3793, 1012, 3793, 21823, 4877, 1025, 12324, 11924, 1012, 21183, 4014, 1012, 4653, 12589, 2015, 1025, 12324, 11924, 1012, 21183, 4014, 1012, 8833, 1025, 12324, 11924, 1012, 3193, 1012, 3193, 1025, 12324, 11924, 1012, 3193, 1012, 3193, 13334, 16429, 8043, 6299, 1025, 12324, 11924, 1012, 15536, 24291, 1012, 3793, 8584, 1025, 12324, 11924, 1012, 15536, 24291, 1012, 15174, 1025, 12324, 4012, 1012, 4862, 3676, 3676, 1012, 3435, 22578, 2239, 1012, 1046, 3385, 10288, 24422, 1025, 12324, 4012, 1012, 4862, 3676, 3676, 1012, 3435, 22578, 2239, 1012, 1046, 3385, 16429, 20614, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 1044, 2696, 9397, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 1044, 13535, 5644, 5794, 2102, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 1054, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 9353, 25090, 24872, 1012, 5587, 19699, 9013, 5104, 1012, 13260, 19699, 9013, 2094, 1012, 3967, 2378, 14876, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 9353, 25090, 24872, 1012, 2364, 1012, 2326, 8663, 2696, 16649, 1012, 2326, 20330, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 5884, 1012, 5310, 1025, 12324, 4012, 1012, 21025, 2705, 12083, 1012, 20877, 13910, 1012, 9973, 16001, 4842, 1012, 9973, 1025, 12324, 4012, 1012, 3781, 2213, 2546, 21619, 2692, 1012, 1054, 24759, 12322, 1012, 3781, 2213, 19699, 15042, 8751, 3372, 1025, 12324, 4012, 1012, 3781, 2213, 2546, 21619, 2692, 1012, 1054, 24759, 12322, 1012, 8299, 1012, 2944, 1012, 2918, 5302, 9247, 1025, 12324, 4012, 1012, 3781, 2213, 2546, 21619, 2692, 1012, 5906, 1012, 8299, 1012, 7929, 11039, 25856, 5302, 9247, 9289, 20850, 8684, 1025, 2270, 2465, 2691, 21823, 4877, 1063, 2797, 10763, 2345, 5164, 6415, 1027, 1000, 2691, 21823, 4877, 1000, 1025, 2797, 10763, 15174, 15174, 1025, 2797, 10763, 5082, 27184, 8649, 13764, 8649, 1025, 1013, 1008, 1008, 1008, 4638, 2065, 2897, 10927, 20470, 2571, 1008, 1008, 1030, 11498, 2213, 6123, 1008, 1030, 2709, 1008, 1013, 2270, 10763, 22017, 20898, 3475, 3388, 6198, 24230, 1006, 6123, 6123, 1007, 1063, 2065, 1006, 6123, 999, 1027, 19701, 1007, 1063, 20831, 24805, 4590, 11338, 18256, 6593, 7730, 24805, 4590, 1027, 1006, 20831, 24805, 4590, 1007, 6123, 1012, 4152, 27268, 6633, 8043, 7903, 2063, 1006, 6123, 1012, 20831, 1035, 2326, 1007, 1025, 2897, 2378, 14876, 24098, 3388, 6198, 2378, 14876, 1027, 11338, 18256, 6593, 7730, 24805, 4590, 1012, 2131, 19620, 7159, 6198, 2378, 14876, 1006, 1007, 1025, 2065, 1006, 24098, 3388, 6198, 2378, 14876, 999, 1027, 19701, 1007, 1063, 2709, 24098, 3388, 6198, 2378, 14876, 1012, 18061, 3567, 11733, 3468, 1006, 1007, 1004, 1004, 24098, 3388, 6198, 2378, 14876, 1012, 2003, 24230, 1006, 1007, 1025, 1065, 1065, 2709, 6270, 1025, 1065, 1013, 1008, 1008, 1008, 4638, 2065, 17371, 11522, 4839, 1008, 1008, 1030, 2709, 1008, 1013, 2270, 10763, 22017, 20898, 26354, 16409, 4232, 10288, 2923, 1006, 1007, 1063, 2065, 1006, 11924, 1012, 9808, 1012, 4044, 1012, 2131, 10288, 16451, 9777, 4263, 13923, 12259, 1006, 1007, 1012, 19635, 1006, 11924, 1012, 9808, 1012, 4044, 1012, 2865, 1035, 5614, 1007, 1007, 2709, 2995, 1025, 2842, 2709, 6270, 1025, 1065, 10763, 5164, 4152, 18886, 3070, 1006, 6123, 6123, 1010, 20014, 24501, 3593, 1007, 1063, 2709, 6123, 1012, 2131, 6072, 8162, 9623, 1006, 1007, 1012, 4152, 18886, 3070, 1006, 24501, 3593, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 2131, 2327, 4023, 1008, 1030, 11498, 2213, 6123, 1008, 1030, 2709, 1008, 1013, 2270, 10763, 5164, 2131, 14399, 18908, 7730, 1006, 6123, 6123, 1007, 1063, 4023, 24805, 4590, 3208, 1027, 1006, 4023, 24805, 4590, 1007, 6123, 1012, 4152, 27268, 6633, 8043, 7903, 2063, 1006, 6123, 1012, 4023, 1035, 2326, 1007, 1025, 2862, 1026, 2770, 10230, 4939, 14876, 1028, 2770, 10230, 4939, 14876, 2015, 1027, 3208, 1012, 2131, 15532, 5582, 10230, 5705, 1006, 1015, 1007, 1025, 2065, 1006, 2770, 10230, 4939, 14876, 2015, 999, 1027, 19701, 1007, 2709, 2770, 10230, 4939, 14876, 2015, 1012, 2131, 1006, 1014, 1007, 1012, 2327, 18908, 7730, 1012, 2131, 26266, 18442, 1006, 1007, 1025, 2842, 2709, 1000, 1000, 1025, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 2275, 20330, 5498, 20925, 27901, 2099, 1006, 5310, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1001, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 2000, 29547, 18992, 3366, 1006, 1007, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 3661, 1027, 1027, 12398, 27901, 2099, 1004, 1004, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 1065, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 4520, 2121, 7903, 12377, 29050, 22592, 3334, 1006, 2326, 20330, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1001, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 2000, 29547, 18992, 3366, 1006, 1007, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 12398, 27901, 2099, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 3661, 1027, 1027, 12398, 27901, 2099, 1004, 1004, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 1065, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 12398, 27901, 2099, 1007, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 2275, 8663, 2696, 16649, 2378, 14876, 5498, 20925, 27901, 2099, 1006, 3967, 2378, 14876, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1001, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 5310, 1012, 2275, 27901, 2099, 1006, 3661, 1012, 2000, 29547, 18992, 3366, 1006, 1007, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 3661, 1027, 1027, 12398, 27901, 2099, 1004, 1004, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 1065, 5310, 1012, 2275, 27901, 2099, 1006, 3661, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 2275, 20330, 27058, 19968, 7585, 2099, 1006, 5310, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1014, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 5164, 18558, 1027, 5310, 1012, 2131, 20330, 2378, 14876, 1006, 1007, 1025, 1046, 3385, 16429, 20614, 5310, 22578, 2239, 1027, 1046, 3385, 16429, 20614, 1012, 11968, 3366, 16429, 20614, 1006, 18558, 1007, 1025, 5164, 2136, 3593, 1027, 5310, 22578, 2239, 1012, 4152, 18886, 3070, 1006, 1000, 2136, 3593, 1000, 1007, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 2136, 3593, 1007, 1007, 1063, 3661, 1027, 2136, 3593, 1025, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1007, 1025, 2709, 1025 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 1038, 1012, 1054, 1012, 18164, 1006, 3245, 1007, 1999, 2128, 4459, 1037, 1012, 7570, 7174, 3600, 1010, 14258, 1998, 6202, 2004, 1055, 1004, 1054, 1056, 1012, 1058, 1012, 8139, 1010, 17482, 1012, 9267, 1011, 20475, 1010, 4297, 1012, 1998, 2034, 3552, 8169, 1004, 3404, 2194, 1010, 10439, 14774, 2229, 1010, 1058, 1012, 4459, 1037, 1012, 7570, 7174, 3600, 1010, 14258, 1998, 6202, 2004, 1055, 1004, 1054, 1056, 1012, 1058, 1012, 8139, 1010, 10439, 24178, 1012, 10528, 2053, 1012, 6146, 1011, 16345, 1010, 25022, 2615, 1012, 2053, 1012, 6535, 1011, 5139, 2620, 1012, 2142, 2163, 2212, 2457, 1010, 1049, 1012, 1040, 1012, 3552, 1012, 2244, 2410, 1010, 3245, 1012, 1008, 19883, 2798, 1037, 1012, 16994, 3523, 1010, 16994, 1010, 16994, 1004, 6178, 16161, 1010, 20635, 1011, 23189, 1010, 6643, 1012, 1010, 2005, 10439, 24178, 1012, 2198, 1053, 1012, 4241, 26891, 1010, 2053, 5856, 1010, 1051, 1005, 25271, 1004, 5671, 1010, 26123, 1010, 6643, 1012, 1010, 2005, 10439, 14774, 2229, 1012, 20336, 1998, 2344, 2957, 1052, 1012, 9530, 7875, 6977, 1010, 2212, 3648, 1012, 4459, 1037, 1012, 7570, 7174, 3600, 1010, 14258, 1998, 6202, 2004, 1055, 1004, 1054, 1056, 1012, 1058, 1012, 8139, 1010, 6406, 1037, 10758, 9964, 1999, 10528, 2006, 2337, 2322, 1010, 3299, 1012, 27081, 2000, 3513, 3963, 2487, 1998, 6390, 2475, 1010, 9267, 1011, 20475, 1010, 4297, 1012, 1998, 2034, 3552, 8169, 1998, 3404, 2194, 2716, 2019, 27248, 18207, 2114, 7570, 7174, 3600, 2000, 5646, 1996, 11889, 8010, 1997, 1037, 7016, 2029, 2002, 12232, 2000, 2068, 1012, 1037, 4994, 2006, 1996, 3043, 2001, 2218, 2077, 10528, 3648, 22194, 1010, 1998, 2002, 4340, 2008, 1996, 23953, 9267, 1011, 20475, 1998, 2034, 3552, 2924, 2020, 4709, 2000, 2031, 2037, 7016, 3272, 2098, 2013, 1996, 2344, 1997, 11889, 1012, 7570, 7174, 3600, 2038, 12068, 2008, 9128, 2000, 2023, 1008, 19936, 2457, 27081, 2000, 10528, 3627, 3770, 2487, 1012, 2144, 2057, 2424, 2008, 1996, 8866, 2004, 2179, 2011, 1996, 10528, 3648, 2024, 23713, 2135, 3569, 2011, 1996, 2501, 1010, 1998, 2079, 2490, 2010, 15306, 1997, 2375, 2057, 2097, 21358, 27972, 1996, 9128, 1997, 1996, 10528, 3648, 1012, 1996, 27427, 15878, 3064, 2791, 2029, 2003, 1996, 3395, 1997, 2023, 2895, 2003, 1996, 2765, 1997, 1037, 2723, 2933, 12135, 3820, 2029, 2001, 3133, 2046, 2011, 9267, 1011, 20475, 2004, 17024, 1010, 2034, 3552, 2924, 2004, 12135, 4005, 1998, 7570, 7174, 3600, 2004, 11033, 1012, 1996, 17482, 4162, 2005, 2023, 2933, 1999, 2238, 1997, 3381, 1012, 2002, 7864, 4923, 5097, 1998, 3361, 8635, 1999, 2490, 1997, 2010, 4646, 1012, 3904, 1997, 2122, 3988, 8635, 2020, 6270, 2030, 22369, 1999, 2151, 2126, 1012, 7570, 7174, 3600, 1005, 1055, 4646, 2001, 4844, 1010, 1998, 2006, 2251, 1016, 1010, 3381, 1010, 2002, 6472, 1037, 11033, 2723, 1011, 2933, 3820, 1998, 3696, 14049, 20104, 2007, 2034, 3552, 1012, 2023, 3206, 4379, 2032, 1037, 7119, 2240, 1997, 4923, 1999, 1996, 3815, 1997, 1002, 2322, 1010, 2199, 1012, 2104, 1996, 11033, 2723, 1011, 2933, 6512, 1010, 9267, 1011, 20475, 8127, 3941, 2000, 7570, 7174, 3600, 1010, 1998, 2001, 3825, 2005, 1996, 5167, 5359, 2011, 1996, 2924, 1012, 2043, 7570, 7174, 3600, 3525, 2853, 2019, 8875, 2002, 2001, 2000, 2830, 2010, 7909, 2005, 2009, 3202, 2000, 1996, 2924, 1012, 9267, 1011, 20475, 4846, 4638, 2545, 1010, 2040, 2253, 2000, 1996, 3265, 16743, 2169, 3204, 2000, 4638, 1996, 12612, 2114, 2037, 2636, 1010, 1998, 5646, 2008, 5372, 10504, 2020, 2108, 2081, 1012, 2065, 1996, 4638, 2121, 2179, 2008, 1037, 3538, 1997, 3941, 2001, 2025, 1999, 1996, 12612, 1010, 1998, 7909, 2005, 2009, 2018, 2025, 2042, 2830, 2098, 2000, 1996, 2924, 1010, 2002, 2001, 2000, 8145, 7909, 2077, 2975, 1996, 11033, 1012, 7570, 7174, 3600, 5224, 2010, 2173, 1997, 2449, 1999, 2010, 2188, 1010, 1998, 8250, 2010, 3941, 1999, 2010, 8102, 1012, 2076, 1996, 2698, 2706, 3188, 2000, 2285, 1997, 3326, 1010, 2009, 2150, 6233, 3697, 2005, 1996, 4638, 2121, 4137, 2000, 7570, 7174, 3600, 2000, 4685, 2010, 5704, 1010, 2138, 1996, 11122, 5644, 2020, 8250, 1999, 2019, 29104, 2181, 1012, 7570, 7174, 3600, 3271, 1996, 4638, 2121, 2011, 3752, 1996, 7642, 3616, 2013, 1996, 11122, 5644, 2000, 2032, 1010, 2096, 1996, 4638, 2121, 4102, 2068, 2000, 2010, 2862, 1012, 2044, 1996, 3558, 4175, 2001, 2949, 1010, 2119, 1996, 4638, 2121, 1998, 7570, 7174, 3600, 2052, 3696, 1998, 20410, 1996, 3189, 2077, 2009, 2253, 2067, 2000, 9267, 1011, 20475, 1012, 1999, 2285, 1997, 3326, 1010, 7570, 7174, 3600, 6727, 9267, 1011, 20475, 1005, 4923, 3208, 2008, 2002, 2018, 1000, 22673, 1000, 2006, 1996, 4311, 2008, 2002, 2018, 2081, 2007, 1996, 4638, 2121, 1012, 2002, 2018, 2170, 2944, 1998, 7642, 3616, 2013, 4064, 11122, 5644, 1010, 2130, 2295, 2070, 1997, 1996, 5167, 2018, 1999, 2755, 2042, 4394, 2144, 2251, 1997, 3326, 1012, 1996, 2561, 3643, 1997, 2035, 1996, 4394, 5167, 2001, 4340, 2000, 2022, 1002, 1023, 1010, 5018, 1012, 3590, 1012, 2930, 2459, 1006, 1037, 1007, 1997, 1996, 10528, 2552, 1010, 2340, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3486, 1006, 1037, 1007, 1010, 3272, 2015, 3056, 13930, 2013, 11889, 1999, 10528, 1010, 2164, 1024, 1000, 1006, 1016, 1007, 1012, 1012, 1012, 22393, 14680, 2005, 11381, 2769, 2030, 3200, 2011, 6270, 3653, 25808, 2229, 2030, 6270, 15066, 1010, 2030, 2005, 11381, 2769, 2030, 3200, 2006, 4923, 2030, 11381, 2019, 5331, 2030, 14524, 1997, 4923, 1999, 17975, 2588, 1037, 3430, 2135, 6270, 4861, 1999, 3015, 27818, 2010, 3361, 4650, 2081, 2030, 2405, 2030, 3303, 2000, 2022, 2081, 2030, 2405, 1999, 2151, 5450, 18971, 2007, 7848, 2000, 11703, 7416, 3726, 1012, 1000, 1996, 2283, 6224, 2000, 13520, 1037, 7016, 2512, 10521, 7507, 20800, 3085, 2104, 2023, 2930, 2442, 6011, 1996, 2206, 3787, 1024, 1000, 1036, 1006, 1015, 1007, 1996, 7016, 2953, 2081, 1996, 15066, 1025, 1006, 1016, 1007, 2008, 2012, 1996, 2051, 2002, 2354, 2027, 2020, 6270, 1025, 1006, 1017, 1007, 2008, 2002, 2081, 2068, 2007, 1996, 6808, 1998, 3800, 1997, 11703, 7416, 6455, 1996, 4923, 2953, 1025, 1006, 1018, 1007, 2008, 1996, 4923, 2953, 13538, 2006, 2107, 15066, 1998, 1006, 1019, 1007, 2008, 1996, 4923, 2953, 8760, 1996, 6884, 3279, 1998, 4053, 2004, 1996, 4013, 9048, 8585, 2765, 1997, 1996, 15066, 2383, 2042, 2081, 1012, 1005, 1000, 4086, 1058, 1012, 23168, 5446, 2522, 1012, 1010, 25246, 1042, 1012, 10514, 9397, 1012, 20263, 1010, 5139, 2509, 1006, 1059, 1012, 1040, 1012, 12436, 1012, 3476, 1007, 1012, 20466, 2006, 10528, 1010, 6400, 3179, 20423, 2459, 1012, 2385, 1052, 1012, 25702, 15841, 2023, 9347, 1024, 1000, 1037, 6270, 6630, 2306, 1996, 3574, 1997, 11075, 1006, 1016, 1007, 2089, 8676, 1997, 1037, 6270, 3361, 4861, 2081, 2000, 1996, 4923, 2953, 2005, 1996, 3800, 1997, 11381, 3200, 2006, 4923, 3408, 1012, 1006, 8951, 3572, 1007, 2348, 2553, 2375, 2018, 2584, 2023, 2765, 3188, 2000, 1996, 3624, 7450, 1010, 1006, 8951, 3572, 1007, 1996, 2804, 1997, 1996, 2206, 11075, 1999, 1073, 2459, 2050, 1006, 1016, 1007, 3718, 2151, 4797, 2006, 1996, 3395, 1024, 1006, 8951, 3572, 1007, 1036, 2030, 2005, 11381, 2769, 2030, 3200, 2006, 4923, 2030, 11381, 2019, 5331, 2030, 14524, 1008, 17405, 1997, 4923, 1999, 17975, 2588, 1037, 3430, 2135, 6270, 4861, 1999, 3015, 27818, 2010, 3361, 4650, 2081, 2030, 2405, 2030, 3303, 2000, 2022, 2081, 2030, 2405, 1999, 2151, 5450, 18971, 2007, 7848, 2000, 11703, 7416, 3726, 1012, 1012, 1012, 1012, 1005, 1006, 8951, 3572, 1007, 2021, 1037, 4861, 2029, 2001, 2995, 2043, 2445, 1010, 2097, 2025, 12346, 1037, 6270, 6630, 2138, 1997, 1037, 4745, 2689, 1999, 1996, 7016, 2953, 1005, 1055, 3821, 1010, 4983, 1996, 4861, 17367, 1037, 5719, 6630, 2138, 1997, 1996, 7016, 2953, 1005, 1055, 4611, 2000, 12367, 1996, 4923, 2953, 1997, 3431, 1999, 2010, 1006, 1996, 7016, 2953, 1005, 1055, 1007, 3570, 1012, 1006, 8951, 3572, 1007, 1012, 1000, 1996, 10528, 3648, 1010, 2241, 2006, 1996, 2682, 8910, 1997, 2375, 1010, 2179, 2008, 1996, 12612, 8635, 1999, 3160, 2020, 1000, 5719, 15066, 1000, 2011, 1996, 7016, 2953, 1010, 2008, 1996, 23112, 13538, 2006, 2068, 2000, 2037, 20010, 20026, 4765, 1010, 2008, 1996, 7016, 2953, 8969, 2008, 1996, 8635, 2020, 6270, 1010, 1998, 2081, 2005, 1996, 3800, 1997, 11703, 7416, 6455, 1996, 23112, 1010, 1998, 2008, 2004, 1037, 2765, 1997, 2037, 17975, 2006, 2122, 15066, 1010, 1996, 23112, 4265, 1037, 3279, 1997, 1002, 1023, 1010, 5018, 1012, 3590, 1012, 3568, 1010, 2002, 3272, 2098, 2023, 7016, 2013, 11889, 1012, 1999, 15252, 1996, 9128, 2015, 1997, 1037, 10528, 3648, 1010, 1996, 2212, 2457, 2442, 5138, 1996, 10528, 3648, 1005, 1055, 9556, 1997, 2755, 4983, 2027, 2024, 4415, 9413, 20793, 3560, 1010, 3228, 2349, 7634, 2000, 1996, 4495, 1997, 1996, 10528, 3648, 2000, 3648, 1996, 21553, 1997, 1996, 9390, 1012, 2156, 10528, 3627, 6282, 2692, 1012, 1996, 4415, 9413, 20793, 3560, 3115, 2515, 2025, 6611, 2000, 3980, 1997, 2375, 1010, 1998, 1996, 10528, 3648, 1005, 1055, 3423, 15306, 2089, 2025, 2022, 4844, 2302, 2256, 2981, 9128, 1997, 1996, 3423, 3980, 1012, 1999, 2128, 13097, 26654, 1010, 19151, 1042, 1012, 10514, 9397, 1012, 10550, 2692, 1010, 10550, 2629, 1006, 1041, 1012, 1040, 1012, 6643, 1012, 1007, 1025, 23409, 20466, 20423, 4464, 1012, 2654, 2012, 16710, 2475, 1011, 16710, 2509, 1012, 1996, 7016, 2953, 1005, 1055, 17304, 2000, 1996, 9556, 1997, 1996, 10528, 3648, 4853, 2093, 3314, 2005, 2256, 9584, 1024, 1006, 1015, 1007, 3251, 1996, 28616, 2890, 28994, 19304, 2015, 2081, 2011, 1996, 7016, 2953, 2020, 4745, 2000, 1996, 5331, 1997, 4923, 1010, 1998, 3568, 2031, 2053, 3466, 2006, 1996, 11889, 8010, 1997, 2023, 2004, 1037, 3653, 1011, 4493, 7016, 1025, 1006, 1016, 1007, 3251, 1996, 3335, 12259, 8163, 1998, 4525, 16542, 12612, 4311, 2020, 1000, 5719, 15066, 1000, 2006, 2029, 1996, 4923, 2953, 2001, 4709, 2000, 11160, 1025, 1998, 1006, 1017, 1007, 3251, 1996, 23112, 8760, 2037, 10859, 1997, 6947, 1012, 1996, 7016, 2953, 1005, 1055, 2034, 22224, 2003, 2241, 2006, 1996, 6958, 2008, 1996, 9861, 4072, 2000, 3272, 1037, 7016, 2013, 11889, 2442, 2031, 5839, 2043, 1996, 7016, 2001, 2580, 1010, 1998, 2008, 2151, 4745, 27105, 6204, 2003, 4297, 5644, 2063, 15417, 4818, 1012, 2002, 9251, 2008, 1996, 2434, 5331, 1997, 4923, 2182, 2165, 2173, 2077, 2151, 6270, 8635, 2020, 2081, 1010, 1998, 2008, 2010, 4745, 28616, 2890, 28994, 19304, 2015, 3568, 2079, 2025, 3347, 2023, 7016, 2013, 11889, 1012, 1999, 2490, 1997, 2023, 1010, 1996, 7016, 2953, 16803, 2006, 2195, 3572, 2029, 2057, 2424, 2000, 2022, 27118, 9397, 20049, 2618, 2138, 2027, 3066, 2007, 13930, 2580, 2011, 1037, 2309, 3206, 1010, 5331, 1997, 4923, 2030, 7909, 2349, 1010, 1998, 9989, 1997, 9861, 4745, 2000, 1996, 2051, 1996, 4923, 2001, 3668, 1012, 1031, 1015, 1033, 2053, 3572, 2024, 6563, 2073, 2045, 2003, 2019, 7552, 3276, 2030, 2607, 1997, 7149, 2090, 1996, 4243, 1010, 2004, 1999, 1996, 2553, 2012, 3347, 1012, 2037, 3820, 23133, 1037, 12379, 2240, 1997, 4923, 1010, 3395, 2000, 15861, 9312, 1010, 2029, 2872, 2006, 1996, 7016, 2953, 1037, 4611, 2000, 2191, 5719, 15066, 1999, 1996, 2433, 1997, 7058, 12612, 4311, 2000, 2562, 1996, 4923, 2953, 6727, 1997, 2010, 3570, 1012, 3568, 1010, 2057, 3685, 5993, 2008, 2023, 2553, 2003, 9950, 2011, 1996, 6958, 4081, 2011, 1996, 7016, 2953, 1998, 2003, 2025, 3395, 2000, 11889, 2006, 2008, 3978, 1012, 7016, 2953, 2279, 27481, 2015, 2008, 1996, 12612, 4311, 2020, 2025, 5719, 15066, 2081, 2011, 2032, 2138, 2027, 2020, 2081, 2011, 5126, 1997, 1996, 4923, 2953, 1010, 1998, 2020, 2025, 2010, 8635, 1012, 1008, 20294, 1996, 4638, 2545, 4846, 2011, 1996, 23112, 2020, 4082, 2429, 2000, 1996, 2206, 8128, 1024, 1000, 2009, 2003, 2115, 2590, 5368, 2000, 8186, 5646, 3251, 2030, 2025, 5167, 2145, 2108, 13790, 2024, 2006, 1996, 11033, 1005, 1055, 2723, 1012, 1037, 8210, 9361, 1997, 2256, 2862, 2114, 1996, 11033, 1005, 1055, 2636, 2003, 2025, 7182, 1010, 4496, 2323, 1996, 3105, 2022, 11849, 2094, 2000, 1996, 11033, 2030, 2028, 1997, 2010, 5126, 1012, 1012, 1012, 1012, 2256, 3661, 2000, 1996, 11033, 1010, 18066, 2032, 2000, 1996, 2933, 1010, 2038, 2409, 2032, 2008, 2017, 2097, 4638, 2005, 2149, 1010, 1998, 2356, 1996, 11033, 2000, 3073, 2017, 2007, 2296, 6792, 2061, 2008, 2017, 2064, 2079, 2115, 3105, 4089, 1998, 2007, 1996, 2560, 2825, 16915, 2000, 1996, 11033, 1012, 1000, 1996, 7016, 2953, 27481, 2015, 2008, 1996, 4638, 2121, 2001, 2025, 3772, 2429, 2000, 2010, 8128, 2043, 2002, 3039, 1996, 7016, 2953, 2000, 6509, 2032, 1999, 2437, 1996, 12612, 4638, 1010, 1998, 2008, 1996, 4923, 2953, 3568, 2003, 2025, 4709, 2000, 11160, 2006, 2122, 4311, 1012, 2174, 1010, 1996, 4638, 2121, 1005, 1055, 8128, 2079, 3499, 2032, 2000, 28845, 1996, 6792, 1997, 1996 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8417, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1015, 1012, 4955, 1016, 1012, 16298, 23943, 2618, 21903, 11163, 14192, 1011, 2241, 18114, 1998, 21453, 14828, 2897, 1016, 1012, 1015, 1012, 16298, 23943, 2618, 21903, 11163, 22694, 1999, 1996, 13502, 2475, 1012, 1016, 1012, 16298, 23943, 2618, 21903, 11163, 22694, 1999, 3526, 9587, 18724, 1998, 16371, 14321, 26601, 4770, 2188, 28696, 6190, 2475, 1012, 1017, 1012, 16298, 23943, 2618, 21903, 2334, 3989, 1998, 21935, 5826, 1017, 1012, 16298, 23943, 2618, 21903, 4937, 20766, 5422, 1156, 1011, 6887, 2891, 8458, 10253, 2140, 4651, 1998, 3526, 2943, 4610, 1018, 1012, 16298, 23943, 2618, 21903, 1998, 23713, 14828, 1024, 2019, 6377, 21453, 8822, 1998, 4742, 18168, 23041, 21261, 2291, 1019, 1012, 23713, 2004, 5415, 4762, 8381, 1998, 2659, 2943, 4742, 1010, 2865, 4263, 1997, 4319, 2895, 1998, 17261, 4005, 1020, 1012, 16298, 23943, 2618, 21903, 1998, 23713, 14828, 6125, 1999, 2303, 2943, 13851, 1021, 1012, 16298, 23943, 2618, 21903, 2196, 16626, 1024, 2013, 8776, 18114, 14828, 2000, 10047, 23041, 10244, 8873, 29125, 1010, 3526, 9587, 18724, 18419, 1010, 2128, 4588, 7934, 1040, 7274, 23737, 1998, 13617, 3170, 11137, 12419, 2791, 1022, 1012, 12654, 1015, 1012, 1012, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3522, 2913, 3073, 2047, 3350, 1997, 1996, 4310, 18114, 1010, 21453, 8822, 1998, 14828, 2535, 2209, 2011, 1996, 28498, 9007, 16298, 23943, 2618, 21903, 2029, 4937, 20766, 11254, 1996, 16371, 14321, 26601, 6887, 2891, 8458, 10253, 2140, 3863, 4668, 23409, 18927, 1587, 12649, 1009, 23713, 1010, 4187, 1999, 3526, 2166, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 29491, 2487, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 7145, 1010, 1996, 3853, 1997, 16298, 23943, 2618, 21903, 2038, 2042, 28025, 2000, 1008, 2139, 24576, 1008, 16298, 3170, 16371, 14321, 26601, 10752, 1998, 3526, 2943, 4610, 2083, 7816, 1997, 16371, 14321, 26601, 21879, 1999, 2367, 26721, 16882, 27998, 1998, 23713, 1011, 7591, 21453, 16285, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 29491, 2581, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 16298, 23943, 2618, 21903, 2038, 2042, 20531, 3273, 1010, 2164, 2049, 14471, 1998, 4962, 26572, 19539, 1010, 8153, 1998, 13908, 3670, 1010, 26721, 16882, 4353, 1998, 3252, 11263, 27989, 3276, 1032, 1031, 1031, 1030, 1038, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2509, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2575, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 17788, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 2023, 4654, 6633, 24759, 14144, 16298, 23943, 2618, 21903, 2004, 1037, 2944, 5250, 2005, 16371, 14321, 26601, 8031, 15439, 1998, 6887, 2891, 8458, 10253, 2140, 4651, 4937, 20766, 6190, 1032, 1031, 1031, 1030, 29491, 2683, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 18827, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 17788, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 1996, 18114, 2535, 1997, 16298, 23943, 2618, 21903, 2038, 4227, 3327, 7784, 2206, 5456, 2008, 2023, 9007, 27777, 4651, 1998, 27891, 1997, 1157, 1011, 1998, 1156, 1011, 6887, 2891, 8458, 10253, 4877, 1999, 1996, 12649, 13922, 2083, 1037, 4677, 1997, 25582, 9597, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 23833, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22407, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 1996, 16298, 23943, 2618, 21903, 1011, 4937, 20766, 5422, 2943, 4651, 10382, 1998, 27854, 6204, 3258, 4984, 4145, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24594, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 21486, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1006, 1031, 3275, 1015, 1033, 1006, 1001, 20069, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 2003, 3569, 2011, 16012, 15869, 1010, 6887, 2891, 8458, 10253, 2140, 3863, 11702, 2478, 1034, 2324, 1034, 19330, 16336, 2989, 1010, 19389, 1998, 4962, 1011, 11369, 2913, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2620, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22907, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 1998, 2003, 13644, 2109, 2000, 4863, 18114, 14828, 10595, 1999, 2540, 1998, 20415, 6650, 1032, 1031, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22932, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 1999, 18714, 3595, 3258, 1032, 1031, 1031, 1030, 1038, 19961, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22610, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 5812, 4945, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 21486, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 18139, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 12376, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 13656, 2458, 1032, 1031, 1031, 1030, 1038, 22203, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22275, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 2943, 2490, 1997, 1996, 3526, 13502, 1032, 1031, 1031, 1030, 1038, 14142, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22022, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 27009, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24087, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 2004, 2092, 2004, 1999, 18047, 1998, 3526, 9587, 18724, 1032, 1031, 1031, 1030, 1038, 2620, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 26976, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 28154, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 6650, 1997, 17712, 2487, 11369, 12328, 1010, 2007, 2028, 2625, 6887, 2891, 8458, 4140, 5521, 22747, 2121, 4677, 1010, 4653, 2896, 18114, 8122, 1010, 12430, 23370, 20504, 2015, 1998, 1037, 5514, 4530, 1999, 3206, 15148, 2588, 2003, 5403, 10092, 3378, 2007, 20419, 2026, 24755, 25070, 1011, 21449, 2892, 28014, 1010, 23713, 1998, 16298, 20049, 2638, 4245, 1010, 1998, 18234, 21453, 4742, 4807, 2000, 1996, 10804, 21453, 13617, 1011, 1996, 12649, 1011, 7591, 18044, 3149, 1006, 1047, 1011, 12649, 1007, 1998, 19112, 14828, 2000, 1996, 2943, 1011, 13851, 23713, 1011, 8878, 5250, 21903, 1006, 23713, 2243, 1007, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 16703, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22394, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 19481, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 23499, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 1996, 4310, 3754, 1997, 1996, 1034, 2324, 1034, 1051, 1011, 7197, 1034, 2861, 1034, 1052, 1011, 13221, 2099, 6028, 2000, 8080, 16298, 23943, 2618, 21903, 6887, 2891, 8458, 4140, 5521, 22747, 2121, 1998, 23713, 4742, 10949, 1999, 10109, 14095, 1010, 2362, 2007, 11702, 1997, 6887, 2891, 8458, 4140, 5521, 22747, 2121, 6165, 2083, 13675, 5243, 10196, 21903, 1998, 1043, 2135, 25778, 21252, 1013, 1043, 2135, 3597, 6914, 4747, 21252, 13782, 1998, 10960, 1997, 21453, 13907, 3073, 2582, 20062, 2046, 2019, 6377, 12562, 18114, 1010, 21453, 8822, 1998, 2943, 13851, 8278, 1032, 1031, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 14142, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24434, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22932, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 16086, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 2349, 2000, 1037, 4310, 3200, 1997, 1996, 4937, 20766, 5422, 4668, 1010, 16298, 23943, 2618, 21903, 2003, 3858, 2004, 1037, 7591, 6398, 1997, 1996, 12562, 2943, 2110, 1010, 22969, 2235, 3431, 1999, 1996, 5703, 2090, 12649, 1998, 4748, 2361, 2046, 4659, 2312, 3431, 1999, 23713, 6693, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24594, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2575, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 2023, 12939, 16285, 1998, 21453, 13907, 2008, 2024, 5360, 2011, 23713, 2000, 6869, 2007, 3020, 14639, 1998, 22625, 2000, 6911, 7755, 1032, 1031, 1031, 1030, 1038, 22394, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 19481, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 25746, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 16086, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 2575, 2509, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 3522, 2951, 2582, 5769, 2008, 16298, 23943, 2618, 21903, 19872, 26721, 16882, 23713, 14828, 2003, 11211, 2007, 1037, 2193, 1997, 23713, 1011, 26651, 3787, 2164, 21453, 13907, 1010, 23713, 5054, 28032, 3512, 21453, 16285, 1998, 16298, 20049, 2638, 14828, 1032, 1031, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 14142, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22394, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2045, 2024, 2195, 4436, 2005, 11557, 1521, 1055, 4125, 1517, 2025, 2560, 2426, 2068, 1996, 6517, 2110, 1997, 2175, 2361, 4883, 2492, 2005, 2262, 1012, 2021, 1045, 1521, 2222, 3579, 2006, 2074, 2048, 1024, 1006, 1015, 1007, 11458, 11557, 19821, 2129, 2317, 11992, 2228, 1010, 1998, 1006, 1016, 1007, 4282, 2074, 2054, 2027, 2215, 2000, 2963, 2013, 2619, 2066, 2032, 1012, 11557, 2038, 18856, 5243, 7178, 2000, 1010, 1998, 2513, 2153, 1998, 2153, 2000, 1037, 2146, 24911, 4603, 6772, 2043, 2009, 3310, 2000, 3060, 4841, 1998, 2060, 2111, 1997, 3609, 2040, 2123, 1521, 1056, 3789, 3951, 1024, 2216, 6910, 12455, 2074, 2123, 1521, 1056, 2113, 2054, 1521, 1055, 2204, 2005, 1521, 7861, 1012, 2009, 1521, 1055, 1037, 3722, 3437, 1010, 2004, 1045, 2626, 1999, 2384, 1012, 2009, 4158, 2000, 2033, 2008, 1045, 1521, 1040, 2657, 1996, 2785, 1997, 4933, 2077, 1010, 2087, 3728, 1999, 1996, 7928, 4525, 2013, 1037, 22953, 27225, 23278, 2008, 3728, 3631, 2041, 2055, 1996, 13954, 1997, 3056, 2304, 10643, 1012, 2009, 1521, 1055, 1996, 2168, 3937, 17871, 1045, 1521, 2310, 2657, 1999, 2074, 2055, 2296, 6594, 1045, 1521, 2310, 2042, 2920, 1999, 2058, 2339, 2045, 4995, 1521, 1056, 2062, 2304, 10643, 1012, 2026, 2391, 2038, 2467, 2042, 2008, 10643, 1517, 2066, 2060, 9197, 2317, 4411, 1517, 5247, 2062, 2051, 4851, 2339, 2062, 2304, 2111, 4995, 1521, 1056, 5241, 2068, 2084, 2027, 2079, 4851, 3209, 2339, 2027, 4995, 1521, 1056, 15411, 2062, 2304, 6793, 1012, 1999, 2060, 2616, 1010, 2027, 4468, 1996, 4507, 2008, 1996, 3114, 2027, 2123, 1521, 1056, 9958, 2062, 2304, 6793, 2003, 2138, 2027, 2123, 1521, 1056, 4769, 1517, 1998, 4995, 1521, 1056, 2464, 2004, 12786, 1517, 1996, 3791, 1998, 5936, 1997, 2116, 1999, 2304, 4279, 1012, 1996, 4106, 2196, 4152, 2582, 2084, 2008, 2138, 2009, 2052, 2763, 25174, 2037, 2783, 2918, 1997, 2373, 1012, 2061, 2296, 6594, 1045, 1521, 2310, 2018, 4515, 2039, 2007, 1996, 2060, 2217, 1521, 1055, 6685, 16018, 2091, 2000, 2023, 1024, 1996, 3114, 2062, 10823, 2123, 1521, 1056, 2490, 1996, 3951, 2283, 2003, 2138, 2027, 2123, 1521, 1056, 2113, 2054, 1521, 1055, 2204, 2005, 2068, 1012, 2008, 1521, 1055, 1996, 3835, 2126, 1997, 5128, 2009, 1012, 1996, 2062, 14969, 2126, 1997, 5128, 2009, 2052, 2022, 2172, 3553, 2000, 1996, 2126, 1996, 4603, 28205, 2682, 2404, 2009, 1012, 2138, 2027, 2024, 12873, 1012, 1996, 10823, 2040, 2123, 1521, 1056, 3789, 3951, 2024, 12873, 1529, 1006, 2023, 9575, 3475, 1521, 1056, 3132, 2000, 2679, 1010, 2011, 1996, 2126, 1012, 1996, 2168, 2064, 6611, 2000, 2151, 9197, 24004, 6914, 3560, 3029, 2008, 11014, 2000, 18612, 8757, 2049, 6938, 1010, 11896, 2000, 2079, 2061, 1010, 1998, 2059, 16278, 2339, 1012, 4496, 2024, 13350, 2030, 6555, 2015, 11311, 1012, 2057, 2323, 2023, 1999, 2568, 2043, 2057, 4687, 2339, 2057, 2123, 1521, 1056, 2031, 2062, 2490, 2426, 2317, 2551, 1011, 2465, 4841, 1010, 2116, 1997, 3183, 2587, 1996, 6938, 1997, 1996, 4182, 2545, 1998, 5572, 2112, 10136, 1012, 1007, 2009, 1521, 1055, 2019, 3733, 2041, 1010, 2138, 2009, 2987, 1521, 1056, 5478, 10643, 2000, 4769, 2037, 2219, 11376, 1010, 2292, 2894, 2689, 2009, 1012, 2009, 1521, 1055, 6082, 2000, 3198, 1523, 2339, 2123, 1521, 1056, 2062, 10823, 3789, 3951, 1029, 1524, 1998, 3437, 1523, 2138, 2027, 2123, 1521, 1056, 2113, 2151, 2488, 1010, 1524, 1523, 2138, 2027, 2123, 1521, 1056, 2113, 2054, 1521, 1055, 2204, 2005, 2068, 1010, 1524, 2030, 1523, 2138, 2027, 1521, 2128, 4167, 27283, 1012, 1524, 2553, 2701, 1012, 2009, 1521, 1055, 3733, 1010, 2138, 2017, 2123, 1521, 1056, 2342, 2000, 2079, 2505, 2842, 1010, 3272, 3383, 2022, 5302, 2319, 2037, 4945, 2000, 1523, 7968, 2039, 1524, 1998, 1523, 3693, 2149, 1012, 1524, 2045, 1521, 1055, 2053, 2147, 1998, 2053, 2689, 3223, 2006, 2115, 2112, 1012, 2969, 7749, 1010, 2006, 1996, 2060, 2192, 1010, 2003, 2524, 1012, 2009, 1521, 1055, 6211, 2000, 3198, 1523, 2129, 2024, 2057, 7989, 2000, 4769, 1996, 5936, 1997, 6039, 1011, 1999, 1011, 1996, 1011, 2177, 6464, 1010, 2061, 2008, 2027, 2097, 8100, 2215, 2000, 3693, 2149, 1029, 1524, 1010, 2138, 1996, 3437, 2089, 4119, 1998, 5478, 2017, 2000, 2689, 2070, 1997, 2115, 17568, 1012, 2017, 2031, 2000, 2404, 4426, 1999, 1996, 2597, 1997, 1996, 1523, 2060, 1010, 1524, 1998, 2059, 2147, 6211, 2000, 2424, 3971, 2000, 4769, 2037, 5936, 1999, 1996, 6123, 1997, 2115, 5300, 1012, 2009, 1521, 1055, 2130, 6211, 2138, 4945, 2003, 2059, 2115, 6346, 1517, 2025, 17156, 1012, 2004, 25435, 17306, 2912, 2685, 2041, 1010, 2065, 10643, 2356, 3209, 1996, 2117, 3160, 1010, 2027, 1521, 1040, 2031, 2000, 5136, 2008, 2672, 3060, 4841, 2031, 2070, 2204, 4436, 2005, 2025, 6830, 3951, 1012, 3060, 4841, 2024, 2025, 4167, 27283, 1012, 1996, 3484, 1997, 2304, 2111, 2490, 1996, 3537, 2283, 2138, 2009, 2003, 2037, 3037, 2000, 2079, 2061, 1010, 2012, 2023, 2391, 1999, 2051, 1012, 3537, 27722, 11955, 2350, 2942, 2916, 6094, 4566, 3958, 11465, 1012, 8037, 3569, 1998, 3613, 2000, 2490, 27352, 2895, 1012, 3537, 11274, 2031, 2805, 6794, 1998, 4905, 11593, 2040, 2031, 8047, 2942, 2916, 1012, 1996, 4500, 2003, 2995, 2005, 3951, 27722, 1012, 1996, 8037, 2020, 1996, 2034, 2350, 2576, 2283, 2000, 23388, 2019, 3060, 2137, 2005, 2343, 1012, 1996, 8037, 2020, 1996, 2034, 2283, 2000, 16823, 2019, 3060, 2137, 2004, 1037, 4259, 2457, 3425, 1012, 2087, 2304, 2700, 4584, 2024, 8037, 1012, 2116, 3060, 4841, 2907, 3145, 4460, 1998, 15536, 14273, 6937, 3747, 1999, 1996, 3537, 2283, 1012, 2008, 2003, 2025, 2995, 2007, 4847, 2000, 1996, 3951, 2283, 1012, 1999, 3433, 2000, 1996, 26465, 1997, 2942, 2916, 6094, 1010, 18910, 23423, 2187, 1996, 3537, 2283, 1998, 6783, 2000, 1996, 3951, 2283, 1012, 2000, 2663, 2058, 2670, 18771, 5130, 1010, 1996, 3951, 2283, 4233, 1996, 2670, 5656, 1998, 2150, 10420, 2000, 2942, 2916, 1010, 3667, 2916, 1998, 7574, 1012, 2612, 1997, 2108, 1996, 2283, 1997, 5367, 1010, 1996, 3951, 2283, 2150, 1996, 2283, 1997, 2358, 21716, 16215, 3126, 2386, 1998, 7627, 16254, 2015, 1012, 1999, 3466, 1010, 1996, 3951, 2283, 2150, 1996, 2047, 2317, 4480, 1521, 2473, 1012, 2009, 2003, 2053, 16507, 2008, 10643, 2024, 2012, 1996, 2392, 2240, 6984, 9255, 1997, 1996, 16939, 8055, 2627, 1012, 2061, 2521, 1010, 2069, 2028, 1997, 6890, 1521, 1055, 2175, 2361, 9169, 2038, 7034, 2006, 1050, 1011, 2773, 4974, 5867, 1024, 11458, 11557, 1012, 2356, 7483, 2055, 1996, 2466, 1010, 11557, 1010, 1996, 2069, 2304, 3951, 1999, 1996, 2679, 1010, 25694, 2041, 2012, 6890, 1012, 1523, 2144, 3099, 6890, 2038, 2042, 2183, 2045, 2005, 2086, 2000, 5690, 1010, 1045, 2228, 2008, 2009, 3065, 1037, 3768, 1997, 14639, 2005, 1037, 2146, 2051, 1997, 2025, 2635, 2008, 2773, 2125, 1997, 2008, 2600, 1998, 24944, 1996, 2173, 1010, 1524, 11557, 2056, 2006, 2023, 2733, 1012, 2006, 4419, 2739, 4465, 1010, 11557, 2794, 2008, 2045, 1523, 3475, 1521, 1056, 1037, 2062, 25047, 1010, 4997, 2773, 2084, 1996, 1050, 1011, 2773, 1998, 2005, 2032, 2000, 2681, 2009, 2045, 2004, 2146, 2004, 2002, 2106, 2077, 1010, 1045, 2963, 1010, 2008, 2027, 2633, 4993, 2058, 2009, 1010, 2003, 2074, 5810, 16021, 6132, 13043, 2000, 1037, 2843, 1997, 2304, 2111, 1999, 2023, 2406, 1012, 1524, 11557, 1521, 1055, 4668, 2003, 5121, 3305, 3085, 1012, 3087, 2071, 2424, 1996, 22191, 5805, 1010, 1998, 11557, 2003, 1037, 2304, 2158, 2040, 3473, 2039, 1999, 1996, 24382, 2148, 1012, 1998, 2664, 1010, 2004, 2745, 12675, 4801, 2685, 2041, 2651, 1010, 2009, 1521, 1055, 11557, 1010, 2025, 6890, 1010, 2040, 2071, 2022, 5591, 1996, 2087, 2011, 2023, 2466, 1012, 2000, 3305, 2339, 1010, 2017, 2031, 2000, 5136, 2008, 2045, 2024, 2048, 2477, 10643, 5223, 2062, 2084, 2505, 1012, 2028, 2003, 2108, 5496, 1997, 14398, 1010, 2029, 2038, 3047, 2007, 4852, 6075, 2144, 2343, 8112, 2150, 2343, 1010, 1998, 1010, 2065, 2017, 3198, 10643, 1010, 2003, 2196, 1010, 2412, 15123, 1012, 2048, 2003, 15571, 3949, 2011, 1996, 9382, 25352, 7731, 2865, 1012, 2061, 2426, 10643, 1010, 1996, 6923, 3433, 2000, 1996, 2695, 2466, 2001, 2025, 1010, 1523, 10166, 1010, 6174, 6890, 18358, 2039, 1012, 1524, 2009, 2001, 1010, 1523, 1996, 4314, 2865, 2003, 15488, 27242, 2178, 3951, 2004, 1037, 16939, 999, 1524, 2009, 1521, 1055, 1999, 2023, 6123, 2008, 1996, 25748, 2038, 4158, 1012, 11557, 2347, 1521, 1056, 14026, 9608, 24665, 2666, 26711, 1517, 2002, 2001, 1523, 14255, 2989, 2006, 1524, 1998, 4190, 25090, 4328, 6774, 1037, 22889, 5243, 9096, 2576, 2886, 1012, 1996, 3679, 20587, 1521, 1055, 4717, 4572, 7009, 2023, 2851, 1010, 1523, 11557, 1521, 1055, 7928, 2020, 1517, 2012, 2190, 1517, 21371, 1517, 1998, 2012, 5409, 1010, 3811, 20868, 6072, 26029, 19307, 1012, 2009, 2001, 1037, 10036, 2915, 1010, 1998, 1010, 3383, 1037, 4742, 2008, 11557, 2003, 5627, 2000, 2377, 1996, 2679, 4003, 2114, 1037, 3507, 3951, 2043, 2009, 6666, 2032, 1012, 1524, 2058, 2012, 1996, 4603, 9927, 2417, 2110, 1010, 4388, 4388, 26579, 2758, 1996, 2466, 2003, 1523, 1037, 22889, 12243, 11458, 11557, 2003, 8130, 2039, 1998, 2770, 2007, 2004, 1037, 2126, 2000, 2131, 2046, 2117, 2173, 1012, 1524, 11557, 2218, 2010, 4416, 2043, 1996, 4378, 22017, 2098, 1037, 5637, 5268, 2012, 1037, 3951, 5981, 1012, 2021, 2002, 2001, 1996, 2069, 3951, 4018, 2000, 6232, 4697, 6174, 6890, 2058, 1006, 1037, 1007, 1996, 2171, 1997, 2010, 5933, 3409, 1998, 1006, 1038, 1007, 2010, 4945, 2000, 2689, 2009, 1012, 2502, 6707, 1012, 1523, 9152, 13327, 4974, 1524, 2993, 2106, 2210, 2000, 7386, 6890, 1521, 1055, 3061, 2426, 2175, 2361, 7206, 1012, 1006, 7521, 1998, 6890, 1521, 1055, 3458, 1011, 1999, 23606, 5981, 2836, 2106, 2008, 1012, 1007, 4214, 6890, 2041, 2058, 1523, 9152, 13327, 4974, 1524, 2106, 1037, 2204, 3066, 1997, 4053, 2000, 11458, 11557, 1012, 6655, 2002, 2180, 1521, 1056, 2079, 2008, 2153, 1012, 1996, 6123, 1997, 11557, 1521, 1055, 17674, 1998, 1996, 25748, 2114, 2009, 2453, 2036, 4863, 2339, 11557, 1999, 3327, 2038, 4567, 2210, 3060, 2137, 2490, 1010, 1998, 2339, 2010, 17057, 2052, 2763, 2025, 12992, 1996, 2193, 1997, 10823, 6830, 3951, 1012, 11238, 1996, 6123, 1010, 1998, 2054, 2116, 3060, 4841, 2156, 1999, 11557, 2003, 1996, 2168, 2518, 2027, 2156, 2043, 1996, 2298, 2012, 1996, 7777, 1997, 11805, 2726, 1517, 1037, 2304, 2158, 2040, 2038, 2973, 2146, 2438, 1010, 1998, 2003, 2214, 2438, 2008, 2002, 11276, 2000, 2113, 2488, 1012, 2138, 2027, 2113, 2488, 1010, 1998, 2113, 2008, 2002, 2428, 4282, 2488, 1010, 2087, 6869, 2000, 11557, 2007, 1037, 5220, 2048, 1011, 2773, 15322, 1024, 1523, 12593, 1010, 3531, 1012, 1524, 1529, 2070, 10823, 2066, 11557, 2031, 5407, 1037, 2235, 3538, 1997, 1996, 3171, 11345, 1010, 1998, 2031, 29295, 3445, 2037, 2576, 3362, 1998, 3061, 1012, 2023, 3084, 2009, 2130, 6082, 2000, 4965, 11557, 1521, 1055, 2240, 1998, 2000, 2131, 5506, 2012, 2216, 2008, 2123, 1521, 1056, 1998, 26960, 2068, 1997, 7491, 14398, 7188, 2505, 3632, 3308, 1012, 2174, 1010, 11557, 4282, 2021, 2052, 2196, 8108, 7271, 6449, 1996, 21741, 2075, 8866, 2008, 14518, 2913, 1010, 12265, 1010, 4311, 1010, 1998, 9751, 1010, 20543, 1010, 1998, 2457, 7860, 1010, 1998, 1996, 4020, 1997, 25212, 10085, 10821, 2031, 20868, 2890, 11263, 2696, 6321, 8832, 1012, 10823, 2024, 2145, 2048, 1998, 2093, 2335, 2062, 3497, 2000, 2022, 18787, 2084, 12461, 1010, 7567, 1999, 24382, 11681, 1010, 1998, 2031, 2037, 4268, 2097, 5463, 29591, 7699, 7989, 1010, 3262, 24382, 2270, 2816, 1012, 2402, 2304, 3767, 1998, 3801, 2024, 2521, 2062, 3497, 2000, 2022, 7129, 1010, 9015, 9820, 1013, 8387, 21358, 29301, 3258, 1010, 2000, 2022, 5762, 2135, 6337, 2094, 2011, 2610, 1010, 8580, 1010, 2872, 2006, 19703, 2030, 17393, 1010, 8642, 15605, 1999, 2116, 2163, 2013, 6830, 2138, 1997, 24648, 20488, 1010, 2172, 2062, 3497, 2000, 4374, 1996, 2331, 6531, 2926, 2065, 2037, 5694, 2024, 2317, 1010, 1998, 2062, 3497, 2000, 2022, 5694, 1997, 5762, 2135, 12774, 4808, 2084, 12461, 1012, 2470, 2913, 2265, 2008, 12461, 2007, 1037, 24648, 2501, 2024, 2062, 3497, 2000, 2022, 5086, 1999, 2070, 3182, 2084, 2267, 5161, 10823, 1012, 11557, 2052, 2196, 8722, 2010, 2970, 2000, 13399, 1996, 9762, 2755, 2008, 2690, 1011, 2465, 10823, 1010, 2066, 2370, 1010, 2040, 2128, 24065, 2094, 1996, 5221, 12154, 2013, 1996, 2942, 2916, 11785, 1010, 2411, 2424, 1996, 2047, 9282, 11681, 2027, 2693, 2000, 2128, 1011, 24382, 1998, 2574, 2298, 2066, 1996, 2214, 11681, 2027, 6783, 1012, 2027, 2024, 6439, 2011, 9298, 6853, 1010, 2628, 2011, 26706, 1999, 5324, 1010, 2187, 11865, 6562, 2012, 7884, 2138, 1997, 3532, 2030, 2053, 2326, 1010, 2424, 2008, 2062, 1998, 2062, 1997, 2037, 4124, 1998, 5727, 2024, 3013, 2041, 1997, 15691, 1998, 3076, 2490, 3454, 2012, 5534, 2138, 1997, 1996, 12451, 1997, 27352, 2895 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2951, 2003, 2800, 2012, 1996, 9152, 2232, 6787, 3001, 7366, 2415, 4037, 1024, 1026, 8299, 1024, 1013, 1013, 2358, 12458, 1012, 2740, 1012, 4895, 2213, 1012, 3968, 2226, 1013, 5906, 1011, 1998, 1011, 2951, 1013, 1028, 2104, 1996, 23268, 11066, 2951, 2182, 4957, 2044, 2292, 10497, 2890, 1047, 1012, 3802, 2632, 1012, 4431, 1012, 2036, 2800, 2005, 8816, 2013, 1024, 1026, 16770, 1024, 1013, 1013, 7479, 1012, 4530, 8758, 1012, 4012, 1013, 14021, 1013, 1038, 2863, 2497, 2549, 16022, 4103, 2595, 2078, 2581, 15422, 1013, 13360, 7630, 8093, 2015, 2683, 5558, 2099, 2487, 2615, 21472, 2278, 1035, 1039, 1035, 6146, 2497, 19062, 1029, 21469, 1027, 1014, 1028, 4955, 1063, 1001, 10819, 8889, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3945, 2038, 2042, 8077, 3273, 1999, 7366, 1010, 3391, 1999, 13517, 1010, 2000, 3305, 2129, 4176, 3945, 2005, 2833, 1010, 14711, 1998, 8336, 1012, 1996, 5418, 1997, 2929, 2011, 6575, 6074, 13531, 3945, 8122, 1999, 1037, 3528, 1997, 6897, 18046, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2487, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2509, 1033, 1032, 1033, 1012, 15502, 26912, 3399, 6083, 2008, 4176, 1010, 2164, 2591, 4176, 2107, 2004, 16111, 1998, 13734, 1010, 2031, 7964, 9942, 2000, 14258, 2030, 13643, 25845, 2833, 13822, 1999, 10124, 2051, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2549, 1033, 1032, 1033, 1012, 2714, 2000, 26912, 4176, 1010, 1056, 4442, 1997, 1996, 11311, 2291, 3945, 2005, 7889, 2000, 4057, 2019, 11311, 3433, 1012, 1056, 4442, 2024, 1037, 4187, 11311, 3466, 2953, 1010, 3223, 2000, 3154, 13434, 15245, 1998, 2000, 2393, 1038, 4442, 3965, 27781, 1012, 1999, 2344, 2000, 17820, 2019, 4621, 11311, 3433, 1010, 15743, 1056, 4442, 2442, 8087, 1998, 7099, 7939, 13626, 18291, 4442, 1006, 5887, 2015, 1007, 7682, 2522, 16989, 2618, 28873, 1999, 1048, 24335, 8458, 14164, 1006, 1048, 3619, 1007, 1012, 1999, 1996, 6438, 1997, 8985, 1010, 1056, 4442, 10843, 4607, 1998, 6164, 1048, 3619, 21935, 2007, 5887, 2015, 1012, 2588, 8985, 1010, 5887, 2015, 2556, 2522, 16989, 2618, 28873, 1998, 3073, 2358, 5714, 20350, 2100, 7755, 2877, 2000, 1056, 3526, 13791, 1012, 1056, 3526, 1011, 5887, 10266, 2024, 3223, 2005, 15743, 1056, 4442, 2000, 5788, 1010, 20544, 1998, 2776, 3154, 8985, 2004, 2092, 2004, 5441, 11311, 3638, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2629, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2581, 1033, 1032, 1033, 1012, 1056, 3526, 13791, 2003, 3755, 2011, 5567, 16227, 1997, 3518, 5887, 2015, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2620, 1033, 1032, 1033, 1010, 2096, 2012, 1996, 2168, 2051, 1056, 4442, 8849, 1996, 2972, 2313, 1997, 5887, 2015, 2005, 4678, 28873, 24668, 1997, 8985, 1012, 2023, 7534, 1056, 4442, 2007, 2019, 20600, 3291, 1999, 2029, 1056, 4442, 2442, 5703, 1008, 16030, 2791, 1008, 1998, 1008, 6698, 1008, 1997, 3945, 1012, 2023, 5942, 2008, 2116, 1056, 4442, 3945, 2408, 1037, 5041, 1008, 6698, 1008, 1010, 3967, 2075, 2116, 5887, 2015, 2855, 1010, 1037, 2832, 2714, 2000, 15502, 26912, 1999, 4176, 1012, 7453, 1010, 1056, 3526, 3945, 2003, 2823, 1008, 16030, 1008, 1010, 8385, 16227, 1999, 1037, 2235, 2181, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2620, 1033, 1032, 1033, 1012, 2119, 1997, 2122, 5876, 9002, 2000, 1996, 3452, 3446, 2012, 2029, 1056, 4442, 8087, 5887, 2015, 2306, 1048, 3619, 1010, 2029, 2003, 1037, 4187, 6922, 1997, 15923, 2389, 10516, 4254, 2075, 1996, 3452, 10984, 1997, 1996, 11311, 3433, 1012, 4659, 2210, 20155, 4106, 2038, 2042, 2589, 2000, 6235, 2129, 1056, 4442, 2693, 1999, 1048, 3619, 2030, 2129, 2008, 2929, 13531, 1996, 3446, 2012, 2029, 1056, 4442, 8087, 5887, 2015, 1012, 3988, 2913, 2000, 3305, 1996, 2828, 1997, 1056, 3526, 4367, 1999, 1048, 3619, 2013, 13280, 2048, 1011, 26383, 12126, 1997, 15743, 1056, 4442, 4081, 2008, 1056, 4442, 2693, 2478, 1037, 3722, 4487, 4246, 2271, 3512, 6721, 3328, 1010, 19639, 2000, 2829, 2937, 4367, 1997, 10737, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2683, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2692, 1033, 1032, 1033, 1012, 2206, 2122, 2913, 1010, 15078, 11643, 1997, 1056, 1011, 5887, 10266, 2031, 2411, 2109, 3722, 4487, 4246, 2271, 3512, 6721, 7365, 2000, 5050, 1056, 3526, 5248, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2487, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2475, 1033, 1032, 1033, 1012, 2174, 1010, 4745, 2913, 2031, 2025, 10785, 2649, 1056, 3526, 4367, 1999, 1048, 3619, 1010, 2061, 2009, 2003, 10599, 3251, 4487, 4246, 2271, 3512, 6721, 7365, 2024, 6413, 4275, 2005, 1056, 3526, 2929, 1012, 15502, 6721, 3945, 9942, 2031, 2042, 8077, 3273, 1999, 13517, 1010, 1998, 12231, 4275, 1997, 2929, 2089, 2022, 6179, 2005, 2839, 6026, 1056, 3526, 9587, 18724, 1998, 3945, 8122, 1012, 2829, 2937, 4367, 1010, 12767, 7365, 1010, 1998, 23900, 6721, 7365, 1006, 13675, 9333, 1010, 2036, 2170, 14516, 6721, 7365, 1007, 1010, 2031, 2042, 3818, 2004, 7812, 3550, 6897, 3945, 4275, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2509, 1033, 1032, 1033, 1010, 2021, 6176, 20155, 4106, 2003, 3223, 2000, 3305, 2129, 2092, 3945, 4275, 2839, 4697, 1056, 3526, 9587, 18724, 1998, 3945, 8122, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2549, 1033, 1032, 1033, 1012, 2829, 2937, 4367, 2003, 2411, 3615, 2000, 2004, 1037, 3722, 6721, 3328, 1998, 2003, 7356, 2011, 2929, 2007, 27423, 5500, 3810, 12113, 1998, 2235, 4964, 3357, 10826, 5816, 2000, 1996, 2051, 5813, 1997, 8089, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2692, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2629, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2620, 1033, 1032, 1033, 1012, 24209, 11475, 27453, 12319, 2090, 2829, 2937, 4367, 1998, 1996, 2929, 1997, 12702, 21759, 7088, 19230, 4504, 1999, 3722, 6721, 4367, 2108, 2109, 2004, 1037, 7444, 2944, 1997, 3526, 4367, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2683, 1033, 1032, 1033, 1012, 2829, 2937, 4367, 3463, 1999, 4487, 4246, 2271, 3512, 2929, 1999, 2029, 3292, 7837, 2003, 14267, 2000, 1996, 2675, 7117, 1997, 2051, 1012, 1999, 2048, 9646, 2023, 3463, 1999, 1037, 3671, 4353, 1997, 10898, 1010, 1998, 1999, 2093, 9646, 2009, 3463, 1999, 1037, 10691, 4353, 1997, 10898, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 11387, 1033, 1032, 1033, 1012, 12767, 7365, 4839, 2090, 19630, 1006, 2030, 3442, 20396, 1007, 4367, 2012, 2028, 6034, 1998, 2829, 2937, 4367, 2012, 1996, 2060, 1012, 1999, 5688, 2000, 2829, 2937, 4367, 1010, 1996, 3357, 10742, 1997, 12767, 3945, 2545, 4906, 1037, 2373, 2375, 4353, 2007, 2087, 3357, 10742, 2108, 2235, 1010, 2021, 2007, 1037, 3082, 1011, 5725, 1010, 2008, 2003, 1010, 1037, 16922, 9723, 1997, 3469, 4084, 1998, 1037, 2512, 1011, 5717, 9723, 1997, 4084, 1997, 2151, 3091, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2475, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2509, 1033, 1032, 1033, 1012, 12767, 7365, 2031, 2042, 2109, 2000, 2944, 4111, 2929, 1010, 2005, 2742, 1010, 1999, 18255, 13181, 4757, 1010, 14405, 1010, 9706, 27511, 1998, 2529, 26912, 1010, 1998, 2062, 3728, 1010, 1056, 4442, 1999, 1996, 4167, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2475, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 17465, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 18827, 1033, 1032, 1033, 1012, 2119, 2829, 2937, 1998, 12767, 7365, 7868, 2008, 1996, 3257, 1997, 3945, 2012, 2169, 3357, 2003, 4567, 2013, 1037, 6375, 4353, 1998, 2003, 2981, 1997, 3025, 4084, 1006, 1045, 1012, 1041, 1012, 2003, 11163, 13181, 24330, 1998, 28003, 18073, 1007, 1012, 13675, 9333, 2006, 1996, 2060, 2192, 2224, 24670, 2367, 10595, 2000, 2944, 2714, 7060, 1997, 4367, 2008, 7166, 2000, 29486, 1999, 3257, 2058, 2051, 1012, 13675, 9333, 12530, 2006, 1996, 4353, 1997, 3810, 12113, 2090, 11165, 4084, 2877, 2000, 20396, 28297, 1012, 1999, 3945, 23364, 2011, 13675, 9333, 1010, 1996, 2783, 3257, 1997, 4367, 4013, 3676, 27965, 25084, 8092, 2925, 3357, 7826, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2509, 1033, 1032, 1033, 1012, 2006, 4659, 2460, 2051, 9539, 1010, 12767, 7365, 1998, 13675, 2860, 2089, 2022, 3697, 2000, 10782, 2144, 2027, 2119, 3965, 3565, 4305, 4246, 2271, 3512, 4367, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 17788, 1033, 1032, 1033, 1010, 2008, 2003, 1010, 13508, 2008, 7457, 5514, 2084, 1996, 2675, 7117, 1997, 2051, 1012, 4102, 2000, 4487, 4246, 2271, 3512, 2929, 1010, 3565, 4305, 4246, 14499, 7457, 3945, 1008, 6698, 1008, 1998, 17913, 3945, 1008, 16030, 2791, 1008, 1012, 2750, 1996, 2755, 2008, 2116, 3945, 9942, 2024, 2092, 1011, 7356, 1010, 2045, 2038, 2042, 2053, 11778, 4106, 1997, 1056, 3526, 4367, 1999, 1048, 3619, 1012, 1996, 3768, 1997, 15563, 1999, 17537, 2913, 2038, 2419, 2000, 1056, 3526, 9587, 18724, 2108, 23364, 2478, 2829, 2937, 4367, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2620, 1033, 1032, 1033, 1010, 12767, 7365, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 18827, 1033, 1032, 1033, 1010, 1998, 23900, 6721, 7365, 1006, 13675, 2860, 1007, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2620, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 23833, 1033, 1032, 1033, 1010, 2030, 1037, 5257, 1997, 2929, 7060, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 22907, 1033, 1032, 1033, 1012, 3728, 1010, 5671, 3802, 2632, 1012, 3662, 2008, 1996, 2929, 1997, 1056, 4442, 1999, 1008, 2000, 2595, 7361, 8523, 2863, 2175, 16089, 2072, 1008, 10372, 4167, 8153, 16142, 1037, 12767, 3328, 4525, 1999, 3565, 4305, 4246, 14499, 1998, 8114, 10788, 1997, 15053, 6844, 2319, 7889, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 18827, 1033, 1032, 1033, 1012, 2009, 2003, 2025, 3154, 2065, 12767, 2929, 2038, 2025, 3130, 2042, 2179, 1999, 1048, 2078, 2138, 2107, 2929, 2515, 2025, 5258, 2045, 1010, 2030, 3432, 2138, 2009, 2018, 2025, 2042, 2246, 2005, 1012, 1996, 3768, 1997, 10480, 20155, 4824, 1997, 1056, 3526, 4367, 1999, 1048, 3619, 5260, 2000, 20316, 4275, 1998, 6537, 2256, 3754, 2000, 5646, 2129, 1056, 3526, 9587, 18724, 13531, 1996, 8122, 2007, 2029, 1056, 4442, 8087, 5887, 2015, 1012, 1999, 2023, 2817, 1010, 2057, 17908, 1056, 3526, 3945, 5248, 1999, 1048, 3619, 2478, 2048, 1011, 26383, 29105, 1012, 2057, 4088, 2256, 4106, 2007, 3151, 7778, 4725, 2008, 6235, 1996, 2310, 4135, 26243, 3111, 1010, 3357, 10742, 1010, 13508, 1010, 1998, 3810, 12113, 2579, 2011, 15743, 1056, 4442, 6575, 2005, 5887, 2015, 1012, 2057, 2059, 7949, 2122, 16478, 2000, 2062, 14125, 1998, 7721, 2135, 6235, 9587, 18724, 7060, 1010, 2164, 2478, 4555, 16593, 10035, 1006, 19875, 2063, 1007, 2000, 4906, 6388, 2951, 1012, 2256, 2817, 7778, 2135, 17908, 2015, 1056, 3526, 3945, 9942, 1999, 1048, 3619, 1010, 1998, 3594, 3674, 8122, 12046, 2015, 2008, 5468, 1996, 13589, 16030, 2791, 1998, 6698, 1997, 1056, 3526, 3945, 1012, 2057, 2059, 3495, 24110, 27351, 1996, 6691, 1997, 2367, 4127, 1997, 4367, 2000, 1996, 8122, 1997, 1056, 3526, 3945, 1012, 5678, 1010, 2011, 13599, 1056, 3526, 2929, 2000, 1996, 7060, 7013, 2011, 19701, 4275, 1997, 6721, 4367, 1010, 5875, 2512, 1011, 6721, 10266, 2090, 1056, 4442, 1998, 2037, 4044, 2468, 6835, 1010, 9104, 2008, 1056, 4442, 15581, 2929, 1999, 3433, 2000, 4483, 23391, 1012, 2256, 19701, 4275, 7487, 2980, 7516, 2008, 2024, 4716, 2062, 4703, 2084, 2064, 2022, 4541, 2011, 3382, 1012, 2256, 3463, 6592, 2008, 2130, 1037, 10480, 23191, 1997, 1056, 3526, 2929, 2241, 2006, 1996, 11213, 1997, 6721, 2929, 2515, 2025, 3929, 5425, 1996, 11619, 1997, 1056, 3526, 2929, 1999, 1996, 1048, 2078, 4044, 1012, 3463, 1063, 1001, 10819, 8889, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2929, 1997, 15743, 1056, 4442 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2011, 2085, 1010, 2017, 1521, 2310, 2657, 1996, 8489, 1010, 1996, 10768, 2099, 14550, 1010, 1998, 1996, 12842, 1997, 14699, 23160, 7249, 1012, 2021, 1996, 1044, 18863, 2005, 2023, 2028, 2428, 2003, 10849, 1012, 2452, 4974, 2003, 1037, 12047, 12586, 1997, 11247, 2579, 2013, 24528, 1010, 24665, 17190, 2271, 1010, 1998, 2130, 2070, 13164, 2158, 2005, 2204, 5468, 1012, 1998, 2096, 2116, 2399, 2031, 2589, 2061, 1010, 2452, 4974, 2003, 2028, 1997, 1996, 3924, 2008, 4832, 2041, 2013, 1996, 4306, 1012, 2065, 2017, 4033, 1521, 1056, 2525, 4149, 1010, 1998, 22817, 2023, 2208, 2000, 2115, 12202, 2028, 2030, 3274, 2017, 2428, 11276, 2000, 1012, 2021, 2065, 2017, 2342, 2062, 4751, 2077, 2725, 2061, 1010, 3191, 2006, 1012, 8213, 1024, 1996, 7284, 2006, 4653, 2097, 2130, 25933, 4371, 2115, 2307, 14472, 1012, 2452, 4974, 2003, 1996, 2765, 1997, 1037, 3232, 1997, 2152, 1011, 3891, 2202, 2869, 1012, 2996, 9108, 8093, 2318, 2041, 2007, 1037, 4432, 1024, 2019, 2895, 2208, 2008, 5621, 5683, 2066, 2652, 1037, 2397, 4479, 1521, 1055, 9476, 1012, 2220, 2006, 2027, 3603, 2008, 2437, 2008, 4432, 1037, 4507, 2001, 2183, 2000, 2022, 2521, 2062, 2051, 1011, 15077, 1010, 1998, 6450, 2084, 2761, 2245, 1012, 2027, 3092, 2039, 8046, 3436, 2037, 5841, 1010, 1998, 2128, 1011, 22294, 3654, 4726, 2037, 5014, 2074, 2000, 2022, 2583, 2000, 3288, 2023, 2516, 2000, 3006, 1012, 2026, 3246, 2003, 2008, 2023, 3891, 2038, 3825, 2125, 1012, 2138, 1996, 2736, 4031, 2003, 2498, 2460, 1997, 6429, 1012, 2452, 4974, 2200, 3497, 2038, 1996, 2190, 7284, 1997, 2151, 2678, 2208, 2412, 2081, 2947, 2521, 1012, 2996, 9108, 8093, 20398, 17904, 2135, 2081, 2296, 4281, 1999, 1996, 2208, 2011, 4717, 2063, 4169, 2009, 1012, 2296, 4853, 1997, 7284, 2001, 2192, 4567, 2006, 1037, 3526, 2077, 2108, 11728, 2046, 1037, 3274, 2000, 2022, 10710, 2098, 1010, 1998, 6910, 1012, 2004, 1037, 2765, 1996, 2208, 18058, 2006, 1996, 4563, 4872, 1997, 2559, 1010, 1998, 3110, 2066, 1037, 4479, 1521, 1055, 6579, 2460, 1012, 1996, 2839, 5617, 2024, 3052, 17904, 1012, 2035, 1997, 1996, 25812, 2015, 1997, 13528, 13941, 2024, 2182, 1012, 1996, 18756, 7391, 1010, 16903, 2929, 1010, 1998, 3492, 2172, 2673, 2017, 2064, 9131, 2013, 2214, 4831, 6672, 1010, 1998, 9306, 22017, 2361, 28172, 2024, 2182, 1012, 2996, 9108, 8093, 2130, 2253, 2004, 2521, 2004, 14763, 2019, 5025, 2502, 2316, 4166, 7241, 2000, 4339, 1010, 1998, 4685, 1996, 3556, 2005, 2452, 4974, 1012, 2061, 2025, 2069, 2515, 2009, 2298, 2066, 2019, 3770, 1011, 2095, 1011, 2214, 9476, 1010, 2009, 2036, 4165, 2066, 2019, 3770, 1011, 2095, 1011, 2214, 9476, 1012, 2074, 3773, 1996, 2208, 1999, 2895, 2894, 2052, 2022, 4276, 1996, 3976, 1997, 9634, 1012, 2045, 2003, 2107, 1037, 7177, 1997, 5848, 2006, 4653, 2083, 1996, 2972, 2208, 2008, 2009, 1521, 1055, 9826, 2242, 2008, 2038, 2000, 2022, 5281, 1012, 1999, 1996, 8391, 1997, 5746, 1010, 1998, 5107, 6322, 2452, 4974, 2003, 3053, 1999, 1037, 2465, 2035, 2011, 2993, 1012, 2021, 2054, 2055, 1996, 2208, 2377, 1029, 2092, 1010, 2009, 1521, 1055, 1037, 7199, 5024, 1010, 1998, 22249, 3325, 1012, 1996, 2208, 4627, 2041, 2007, 1037, 2200, 12266, 14924, 4818, 1010, 1998, 1037, 4438, 2466, 2338, 4955, 1012, 2452, 4974, 1010, 1998, 2010, 2567, 14757, 2386, 2175, 2114, 2037, 6697, 1521, 1055, 8996, 2043, 2027, 3942, 1037, 9270, 1012, 6854, 1010, 1996, 9270, 2003, 3079, 2011, 1996, 6548, 1010, 1998, 2002, 19838, 2015, 1996, 2208, 2012, 1996, 10231, 2015, 2795, 2000, 4366, 1996, 9293, 1997, 2256, 7348, 1012, 2021, 2027, 25803, 2005, 2037, 3268, 2061, 2002, 4136, 2068, 2002, 1521, 2222, 9641, 2037, 7016, 2065, 2027, 2175, 2131, 1996, 3969, 8311, 1997, 1996, 2500, 1999, 1996, 2237, 1012, 2061, 2008, 1521, 1055, 1996, 2275, 2039, 2005, 2074, 2339, 2452, 4974, 1010, 1998, 14757, 2386, 2024, 2125, 2006, 2037, 6172, 1012, 1996, 2208, 3182, 2017, 2006, 2019, 8964, 3193, 1997, 1037, 4949, 1010, 2073, 2017, 2693, 1996, 3494, 2105, 1010, 1998, 5454, 1037, 2754, 1010, 2030, 2831, 2000, 2019, 27937, 2278, 1012, 2045, 2024, 2093, 7341, 1010, 1998, 2017, 1521, 2222, 2342, 2000, 3143, 2296, 2754, 2000, 2693, 3031, 1996, 2279, 2028, 1012, 2169, 4949, 2036, 2038, 1037, 4497, 1999, 2009, 2073, 2017, 2064, 2224, 7824, 2000, 12200, 2115, 7590, 1012, 2045, 2024, 2093, 2364, 4127, 1997, 2754, 2006, 4653, 2182, 1012, 2017, 1521, 2222, 2031, 2448, 1050, 1521, 3282, 5711, 1012, 2122, 2377, 2066, 2017, 1521, 1040, 5987, 1010, 2635, 14822, 2013, 2399, 2066, 24528, 1010, 1998, 3384, 23667, 1012, 2061, 2017, 1521, 2222, 2031, 2000, 2543, 2073, 2017, 1521, 2128, 2183, 1012, 2017, 2064, 1521, 1056, 5607, 11043, 2096, 3048, 2830, 1012, 1996, 2208, 2377, 2003, 2025, 1037, 5519, 6293, 2806, 1010, 2738, 1037, 2062, 3151, 2028, 1012, 1999, 2122, 5711, 2017, 1521, 2222, 2424, 1996, 17289, 7824, 1012, 2061, 2017, 1521, 2222, 5121, 2342, 2000, 2377, 2122, 2065, 2017, 2215, 2151, 3246, 1997, 23176, 2075, 2039, 2115, 2839, 1012, 2070, 1997, 1996, 5167, 1999, 1996, 7340, 2097, 2507, 2017, 1037, 2047, 2806, 1997, 5195, 1010, 2030, 4469, 4978, 2006, 2115, 2740, 8316, 1012, 2021, 2151, 8875, 2017, 5454, 2097, 2031, 1037, 2217, 3466, 2000, 5703, 2477, 2041, 1012, 2005, 6013, 1010, 9343, 4469, 2740, 3310, 2012, 1996, 3465, 1997, 22031, 2115, 4491, 3621, 1012, 2021, 2045, 2024, 1037, 2898, 3528, 1997, 2477, 2000, 4638, 2041, 2182, 1012, 2061, 2017, 2064, 19948, 2041, 5167, 2005, 2500, 2044, 2017, 1521, 2310, 3825, 2005, 2068, 1010, 1998, 2156, 2054, 7170, 2041, 2573, 2190, 2005, 2017, 1012, 2045, 2024, 14021, 12274, 2361, 3798, 2205, 1010, 2122, 3227, 2377, 2066, 1996, 2353, 2828, 1997, 2754, 1045, 1521, 2222, 2131, 2000, 1999, 1037, 2617, 1012, 1996, 4489, 2108, 2182, 1010, 2017, 1521, 2222, 2022, 4405, 2075, 1037, 4946, 1010, 1998, 3554, 1037, 4800, 12172, 3064, 2645, 2114, 1037, 5795, 2839, 1012, 2007, 1996, 14021, 12274, 2361, 9760, 2182, 1010, 1996, 2208, 5683, 1037, 2843, 2062, 2066, 1996, 13432, 5312, 1999, 2214, 9876, 28310, 2066, 8505, 2486, 3523, 1010, 1054, 1011, 2828, 1010, 24665, 17190, 2271, 1010, 2030, 2166, 2486, 2738, 2084, 1996, 2062, 3824, 7960, 3109, 13108, 1012, 2074, 2138, 2045, 4995, 1521, 1056, 1062, 8591, 8496, 1997, 2477, 2000, 4468, 2987, 1521, 1056, 2812, 2045, 3475, 1521, 1056, 2505, 2000, 4468, 1012, 2122, 11340, 5466, 7564, 2438, 2012, 2017, 1010, 1998, 2017, 1521, 2222, 2031, 2000, 24443, 25709, 2886, 7060, 2000, 5788, 1012, 2017, 2064, 2036, 22802, 2115, 4946, 2061, 2065, 2017, 2131, 2046, 1037, 3663, 2017, 2123, 1521, 1056, 2228, 2003, 4468, 3085, 1010, 2009, 2089, 2074, 2022, 2115, 9078, 1999, 1996, 4920, 1012, 2633, 1010, 2045, 2024, 1996, 5795, 5711, 1012, 1999, 2122, 2017, 1521, 2222, 2224, 1996, 2448, 1050, 1521, 3282, 9760, 1999, 1037, 4800, 12172, 3064, 2645, 2114, 1037, 5795, 2839, 1012, 2122, 9590, 2514, 3553, 2000, 1996, 4438, 24524, 13164, 2158, 5795, 9590, 1012, 2084, 1996, 3924, 1999, 1996, 2214, 2448, 1050, 1521, 4409, 1012, 2028, 5795, 1999, 3327, 2097, 2507, 2017, 5758, 1997, 4040, 2075, 2852, 1012, 19863, 2100, 1521, 1055, 3317, 1999, 13164, 2158, 2462, 1012, 2035, 1997, 2122, 23029, 2174, 2097, 5478, 2017, 2000, 4553, 7060, 1010, 1998, 6739, 10984, 2000, 2131, 2083, 2068, 1999, 2028, 3538, 1012, 2144, 2087, 1997, 1996, 5711, 1999, 1996, 2208, 2024, 5795, 5711, 2017, 2064, 5987, 2000, 4558, 2116, 1010, 2116, 2335, 2043, 2017, 2034, 3535, 2068, 1012, 2045, 2024, 2036, 1037, 3232, 1997, 2217, 7860, 2073, 2017, 1521, 2222, 2489, 11277, 2011, 20803, 2075, 2060, 11277, 1012, 2017, 2323, 9826, 2079, 2122, 2138, 1996, 20803, 2003, 1037, 15893, 2452, 4974, 3594, 2000, 12486, 2039, 2115, 3565, 8316, 1012, 2043, 2017, 6039, 2039, 1996, 8316, 2017, 2064, 2079, 1037, 2200, 14886, 2886, 2029, 2003, 2926, 18801, 1999, 5795, 7465, 1012, 2505, 6910, 5061, 1999, 1996, 2208, 2064, 2022, 11968, 11998, 1010, 1998, 2122, 7860, 2024, 1996, 3819, 2126, 2000, 3040, 2023, 15893, 1012, 2087, 1997, 1996, 5711, 1999, 1996, 2208, 2031, 2019, 3733, 5549, 1999, 2804, 2000, 1037, 3180, 7823, 2004, 10063, 5549, 1012, 2017, 1521, 2222, 2342, 2000, 3786, 1996, 6211, 7669, 2006, 23029, 2000, 2131, 1996, 8311, 1010, 2734, 2000, 3926, 1996, 2466, 1012, 2021, 2652, 1996, 5711, 2006, 3733, 2097, 2292, 2017, 5082, 1010, 1998, 2156, 2054, 2925, 5711, 2031, 2000, 3749, 1012, 2017, 2064, 2036, 2175, 2067, 2000, 2151, 2754, 2017, 3786, 3130, 2000, 15712, 2009, 1012, 2452, 4974, 5791, 2038, 1037, 2152, 2504, 1997, 4119, 1012, 2021, 1996, 4119, 2003, 3227, 2200, 4189, 1012, 2017, 1521, 2222, 3280, 5606, 1997, 2335, 2058, 1012, 2021, 2588, 2115, 4654, 10814, 6024, 14887, 3279, 2017, 1521, 2222, 3305, 2008, 2115, 2197, 2331, 2001, 2115, 2219, 6346, 1012, 2017, 5598, 2043, 2017, 3214, 2000, 5607, 1012, 2030, 2017, 2134, 1521, 1056, 2933, 2005, 1037, 3048, 4132, 7919, 1012, 2030, 2017, 4694, 1521, 1056, 5776, 2438, 1012, 2030, 2017, 16035, 1010, 1998, 2939, 2046, 2008, 25921, 1012, 2452, 4974, 3475, 1521, 1056, 5263, 2295, 1012, 2216, 2040, 7078, 2293, 2214, 4132, 2545, 1010, 14021, 12274, 4523, 1010, 1998, 4438, 2895, 2399, 2013, 1996, 2420, 1997, 18978, 1010, 16562, 1010, 10022, 1010, 1998, 12957, 7248, 2097, 3497, 4060, 2477, 2039, 1037, 2978, 5514, 1012, 2021, 2008, 2987, 1521, 1056, 2812, 2619, 10947, 2000, 2023, 2828, 1997, 3325, 3685, 2566, 3366, 28943, 1012, 2009, 1521, 1055, 1996, 2785, 1997, 2208, 2008, 5942, 11752, 1010, 1998, 3218, 2000, 24970, 1999, 1012, 2005, 2070, 2867, 2009, 2089, 2202, 2062, 2051, 1010, 1998, 11752, 2084, 2500, 1012, 2021, 2673, 1999, 1996, 2208, 2003, 2061, 14408, 17441, 2009, 1521, 1055, 4276, 9361, 2041, 1012, 2045, 2024, 1037, 3232, 1997, 2200, 3576, 3314, 1045, 2031, 2007, 1996, 2208, 2295, 1012, 1996, 2087, 8598, 2075, 2024, 1037, 2261, 4678, 12883, 1012, 4914, 2135, 2122, 2024, 4678, 1010, 1998, 1999, 2051, 2027, 1521, 2222, 2763, 2022, 4964, 1012, 2021, 2027, 1521, 2128, 2145, 1037, 16371, 28138, 2043, 2027, 4148, 1012, 2028, 1997, 2068, 2097, 1043, 15909, 2818, 1037, 2659, 1011, 2504, 6716, 1521, 2740, 2000, 1037, 2391, 2009, 3138, 2053, 4053, 1012, 2043, 2023, 6433, 2017, 2064, 3046, 2000, 2074, 13558, 2627, 2009, 1012, 2021, 2008, 2453, 2812, 2017, 2202, 4053, 1999, 1996, 2832, 1010, 1998, 17727, 14728, 2115, 3754, 2000, 3154, 1996, 2504, 1012, 22371, 1996, 2754, 1010, 1998, 2128, 1011, 5738, 2009, 2788, 8081, 2229, 2009, 1999, 1996, 9455, 1010, 2021, 2008, 2003, 2036, 1037, 16371, 28138, 1012, 1996, 2060, 11829, 1045, 1521, 2310, 2448, 2046, 2003, 2019, 1999, 10288, 24759, 5555, 3468, 2836, 2718, 1010, 2073, 1996, 2208, 2097, 3402, 4530, 11048, 1010, 1998, 2448, 9951, 2135, 24494, 7685, 2005, 2105, 3438, 3823, 2077, 2183, 2067, 2000, 3671, 1012, 2009, 1521, 1055, 2926, 15703, 1999, 5795, 9590, 1012, 5494, 1996, 2208, 1010, 1998, 2128, 1011, 3225, 1996, 4646, 2153, 1010, 8081, 2229, 2009, 1999, 1996, 9455, 1012, 2021, 2009, 2064, 2022, 3492, 15703, 1012, 1045, 2036, 4299, 2045, 2071, 2031, 2042, 1037, 2261, 2062, 2895, 5711, 2058, 5795, 5481, 5711, 2000, 5587, 2000, 1996, 3528, 1012, 6600, 1010, 1045, 2064, 2878, 27693, 2135, 16755, 2452, 4974, 2000, 2074, 2055, 10334, 2040, 2003, 2130, 19512, 4699, 1999, 2009, 1012, 1996, 7284, 1010, 1998, 6050, 2894, 2024, 4276, 1996, 3976, 1997, 9634, 1012, 2130, 2005, 2035, 1997, 1996, 10821, 2070, 2089, 2031, 2007, 1996, 2504, 1997, 4119, 1010, 1996, 3325, 4089, 15849, 16102, 15568, 2008, 1012, 2023, 2003, 1037, 2208, 2008, 2003, 1037, 4687, 2000, 27541, 1012, 1998, 2096, 2214, 1011, 2082, 10877, 4119, 2089, 2025, 2022, 2115, 2452, 4974, 1997, 5572, 1010, 1006, 1045, 2113, 1010, 2008, 1521, 1055, 1037, 6659, 8257, 1012, 1007, 2452, 4974, 2003, 2145, 2028, 1997, 1996, 2087, 14036, 6322, 2017, 1521, 2222, 3497, 2031, 2023, 2095, 1012, 2065, 2017, 2128, 13602, 1037, 4119, 1010, 1998, 2293, 4438, 13941, 2017, 2323, 4965, 2023, 2005, 2115, 3274, 2030, 12202, 2028, 2065, 2017, 4033, 1521, 1056, 2525, 1012, 2017, 2089, 2215, 2000, 2298, 2046, 2023, 2208, 2130, 2065, 2017, 5373, 2123, 1521, 1056, 2729, 2005, 2023, 4066, 1997, 13258, 1012, 1996, 3815, 1997, 5848, 1010, 1998, 12276, 2006, 4653, 2003, 2498, 2460, 1997, 14408, 17441, 1012, 2182, 1521, 1055, 5327, 2452, 4974, 2001, 1037, 3144, 2438, 23855, 2005, 1037, 3582, 1011, 2039, 1010, 2030, 2178, 2208, 2478, 1996, 2168, 6919, 3324, 1010, 1998, 25132, 2015, 1012, 1045, 2113, 1045, 1521, 2310, 5567, 2870, 1037, 2843, 1999, 2023, 3319, 1010, 1998, 1045, 2763, 2614, 1037, 2978, 21707, 1012, 2021, 2663, 2030, 4558, 1010, 2452, 4974, 2003, 2028, 3325, 2017, 2074, 2089, 2215, 2000, 4897, 1996, 18740, 2006, 1012, 1006 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5107, 6026, 3247, 3628, 2007, 18750, 1006, 16596, 23615, 1011, 4553, 1010, 10629, 5737, 2480, 1010, 13523, 24759, 4140, 29521, 1007, 4553, 2055, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 13523, 24759, 4140, 29521, 1998, 10629, 5737, 2480, 3746, 2013, 2026, 4824, 3247, 3628, 2005, 5579, 1006, 18750, 1007, 14924, 4818, 1012, 3247, 3628, 2024, 1037, 2759, 13588, 4083, 4118, 2005, 1037, 3528, 1997, 4436, 1012, 6666, 1997, 3247, 3628, 2421, 2008, 2027, 2064, 2022, 2109, 2005, 2119, 26237, 1998, 5579, 1010, 2027, 2123, 1521, 1056, 5478, 3444, 25169, 1010, 1998, 2027, 2024, 4659, 3733, 2000, 17841, 2004, 2017, 2064, 5107, 4697, 3247, 3628, 1012, 2023, 2003, 2025, 2069, 1037, 3928, 2126, 2000, 3305, 2115, 2944, 1010, 2021, 2036, 2000, 10639, 2129, 2115, 2944, 2573, 1012, 8821, 1010, 2009, 2052, 2393, 2000, 2113, 2129, 2000, 2191, 1037, 5107, 3989, 2241, 2006, 2115, 2944, 1012, 2023, 14924, 4818, 4472, 1024, 2129, 2000, 4906, 1037, 3247, 3392, 2944, 2478, 16596, 23615, 1011, 4553, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 13523, 24759, 4140, 29521, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 10629, 5737, 2480, 1006, 2054, 2003, 10629, 5737, 2480, 1010, 2129, 2000, 16500, 2009, 2006, 6097, 1998, 3645, 1010, 1998, 2129, 2000, 2224, 2009, 2000, 5107, 4697, 3247, 3628, 1007, 2129, 2000, 5107, 4697, 3265, 3247, 3628, 2013, 4524, 5999, 3628, 2030, 6721, 6138, 2004, 2467, 1010, 1996, 3642, 2109, 1999, 2023, 14924, 4818, 2003, 2800, 2006, 2026, 21025, 2705, 12083, 1012, 2007, 2008, 1010, 2292, 1521, 1055, 2131, 2318, 999, 2129, 2000, 4906, 1037, 3247, 3392, 2944, 2478, 16596, 23615, 1011, 4553, 1999, 2344, 2000, 5107, 4697, 3247, 3628, 1010, 2057, 2342, 2034, 2342, 2000, 4906, 1037, 3247, 3392, 2944, 2478, 16596, 23615, 1011, 4553, 1012, 2065, 2023, 2930, 2003, 2025, 3154, 1010, 1045, 8627, 2017, 2000, 3191, 2026, 4824, 3247, 3628, 2005, 5579, 1006, 18750, 1007, 14924, 4818, 2004, 1045, 2175, 2046, 1037, 2843, 1997, 6987, 2006, 2129, 3247, 3628, 2147, 1998, 2129, 2000, 2224, 2068, 1012, 12324, 8860, 1996, 2206, 12324, 8635, 2024, 2054, 2057, 2097, 2224, 2005, 2023, 2930, 1997, 1996, 14924, 4818, 1012, 12324, 13523, 24759, 4140, 29521, 1012, 1052, 22571, 10994, 2004, 20228, 2102, 2013, 15315, 19738, 6826, 1012, 2951, 13462, 2015, 12324, 7170, 1035, 11173, 2013, 15315, 19738, 6826, 1012, 2951, 13462, 2015, 12324, 7170, 1035, 7388, 1035, 4456, 2013, 15315, 19738, 6826, 1012, 3392, 12324, 3247, 13334, 26266, 18095, 2013, 15315, 19738, 6826, 1012, 7241, 12324, 6721, 29278, 4355, 26266, 18095, 2013, 15315, 19738, 6826, 1012, 2944, 1035, 4989, 12324, 3345, 1035, 3231, 1035, 3975, 12324, 25462, 2015, 2004, 22851, 12324, 16371, 8737, 2100, 2004, 27937, 2013, 15315, 19738, 6826, 12324, 3392, 7170, 1996, 2951, 13462, 1996, 11173, 2951, 13462, 2003, 2028, 1997, 2951, 13462, 2015, 16596, 23615, 1011, 4553, 3310, 2007, 2008, 2079, 2025, 5478, 1996, 8816, 2075, 1997, 2151, 5371, 2013, 2070, 6327, 4037, 1012, 1996, 3642, 2917, 15665, 1996, 11173, 2951, 13462, 1012, 12324, 25462, 2015, 2004, 22851, 2013, 15315, 19738, 6826, 1012, 2951, 13462, 2015, 12324, 7170, 1035, 11173, 2850, 2696, 1027, 7170, 1035, 11173, 1006, 1007, 1040, 2546, 1027, 22851, 1012, 2951, 15643, 1006, 2951, 1012, 2951, 1010, 7753, 1027, 2951, 1012, 3444, 1035, 3415, 1007, 1040, 2546, 1031, 1005, 4539, 1005, 1033, 1027, 2951, 1012, 4539, 2434, 25462, 2015, 1040, 2546, 1006, 2838, 1009, 4539, 1007, 14541, 2951, 2046, 2731, 1998, 3231, 4520, 1996, 3642, 2917, 8509, 4293, 1003, 1997, 1996, 2951, 2046, 1037, 2731, 2275, 1998, 2423, 1003, 1997, 1996, 2951, 2046, 1037, 3231, 2275, 1012, 1060, 1035, 3345, 1010, 1060, 1035, 3231, 1010, 1061, 1035, 3345, 1010, 1061, 1035, 3231, 1027, 3345, 1035, 3231, 1035, 3975, 1006, 1040, 2546, 1031, 2951, 1012, 3444, 1035, 3415, 1033, 1010, 1040, 2546, 1031, 1005, 4539, 1005, 1033, 1010, 6721, 1035, 2110, 1027, 1014, 1007, 1996, 6087, 1999, 1996, 3746, 5769, 2029, 8023, 1006, 1060, 1035, 3345, 1010, 1060, 1035, 3231, 1010, 1061, 1035, 3345, 1010, 1061, 1035, 3231, 1007, 1996, 2951, 2013, 1996, 2951, 15643, 1040, 2546, 2253, 2000, 2005, 1037, 3327, 3345, 3231, 3975, 1012, 3746, 2011, 2745, 16122, 6826, 15922, 1012, 16596, 23615, 1011, 4553, 1018, 1011, 3357, 11643, 5418, 1001, 3357, 1015, 1024, 12324, 1996, 2944, 2017, 2215, 2000, 2224, 1001, 2023, 2001, 2525, 10964, 3041, 1999, 1996, 14960, 2061, 15591, 2041, 1001, 2013, 15315, 19738, 6826, 1012, 3392, 12324, 3247, 13334, 26266, 18095, 1001, 3357, 1016, 1024, 2191, 2019, 6013, 1997, 1996, 2944, 18856, 2546, 1027, 3247, 13334, 26266, 18095, 1006, 4098, 1035, 5995, 1027, 1016, 1010, 6721, 1035, 2110, 1027, 1014, 1007, 1001, 3357, 1017, 1024, 3345, 1996, 2944, 2006, 1996, 2951, 18856, 2546, 1012, 4906, 1006, 1060, 1035, 3345, 1010, 1061, 1035, 3345, 1007, 1001, 3357, 1018, 1024, 16014, 10873, 1997, 16100, 1006, 3231, 1007, 2951, 1001, 2025, 2725, 2023, 3357, 1999, 1996, 14924, 4818, 1001, 18856, 2546, 1012, 16014, 1006, 1060, 1035, 3231, 1007, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 13523, 24759, 4140, 29521, 2004, 1997, 16596, 23615, 1011, 4553, 2544, 2538, 1012, 1014, 1006, 5560, 2089, 10476, 1007, 1010, 3247, 3628, 2064, 2085, 2022, 27347, 2007, 13523, 24759, 4140, 29521, 2478, 16596, 23615, 1011, 4553, 1521, 1055, 3392, 1012, 5436, 1035, 3392, 2302, 18345, 2006, 1996, 11089, 3075, 2029, 2003, 1037, 2524, 1011, 2000, 1011, 16500, 24394, 2029, 2057, 2097, 3104, 2101, 2006, 1999, 1996, 9927, 2695, 1012, 1996, 3642, 2917, 14811, 1037, 3247, 3392, 2478, 16596, 23615, 1011, 4553, 1012, 3392, 1012, 5436, 1035, 3392, 1006, 18856, 2546, 1007, 1025, 2023, 2003, 2025, 1996, 2087, 17841, 3085, 3392, 2664, 1012, 1999, 2804, 2000, 5815, 1996, 3642, 2000, 3499, 2017, 2000, 3828, 2115, 3746, 1010, 1996, 3642, 2917, 5363, 2000, 2191, 1996, 3247, 3392, 2062, 17841, 3085, 2011, 5815, 1999, 3444, 1998, 2465, 3415, 1006, 2004, 2092, 2004, 4292, 3561, 1027, 2995, 1007, 1012, 1042, 2078, 1027, 1031, 1005, 19802, 2389, 3091, 1006, 4642, 1007, 1005, 1010, 1005, 19802, 2389, 9381, 1006, 4642, 1007, 1005, 1010, 1005, 9004, 2389, 3091, 1006, 4642, 1007, 1005, 1010, 1005, 9004, 2389, 9381, 1006, 4642, 1007, 1005, 1033, 27166, 1027, 1031, 1005, 2275, 8820, 1005, 1010, 1005, 2310, 2869, 11261, 10626, 1005, 1010, 1005, 6261, 5555, 1005, 1033, 20965, 1010, 19589, 1027, 20228, 2102, 1012, 4942, 24759, 12868, 1006, 17212, 15568, 1027, 1015, 1010, 13316, 27896, 1027, 1015, 1010, 20965, 5332, 4371, 1027, 1006, 1018, 1010, 1018, 1007, 1010, 1040, 8197, 1027, 3998, 1007, 3392, 1012, 5436, 1035, 3392, 1006, 18856, 2546, 1010, 3444, 1035, 3415, 1027, 1042, 2078, 1010, 2465, 1035, 3415, 1027, 27166, 1010, 3561, 1027, 2995, 1007, 1025, 20965, 1012, 3828, 8873, 2290, 1006, 1005, 3746, 18442, 1012, 1052, 3070, 1005, 1007, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 10629, 5737, 2480, 3247, 3392, 2550, 2083, 10629, 5737, 2480, 1012, 3602, 2008, 1045, 5493, 1996, 5371, 2000, 2031, 3793, 6087, 17254, 2000, 3251, 2027, 2024, 7053, 1013, 5536, 14164, 2030, 3247, 14164, 2478, 1037, 3793, 3559, 1012, 10629, 5737, 2480, 2003, 2330, 3120, 10629, 5107, 3989, 4007, 1012, 10629, 5107, 3989, 2003, 1037, 2126, 1997, 5052, 8332, 2592, 2004, 26309, 1997, 10061, 19287, 1998, 6125, 1012, 1999, 2951, 2671, 1010, 2028, 2224, 1997, 10629, 5737, 2480, 2003, 2000, 5107, 4697, 3247, 3628, 1012, 1045, 2323, 3602, 2008, 1996, 3114, 2339, 1045, 2572, 2183, 2058, 10629, 5737, 2480, 2044, 5266, 13523, 24759, 4140, 29521, 2003, 2008, 2893, 2023, 2000, 2147, 2064, 2022, 3697, 1012, 1996, 2034, 2112, 1997, 2023, 2832, 7336, 4526, 1037, 11089, 5371, 1012, 1037, 11089, 5371, 2003, 1037, 10629, 5737, 2480, 6630, 1997, 1037, 3247, 3392, 1012, 1996, 3291, 2003, 2008, 2478, 10629, 5737, 2480, 2000, 10463, 1996, 11089, 5371, 2046, 2019, 3746, 5371, 1006, 1052, 3070, 1010, 16545, 2290, 1010, 4385, 1007, 2064, 2022, 3697, 1012, 2045, 2024, 1037, 3232, 3971, 2000, 2079, 2023, 2164, 1024, 23658, 18750, 1011, 10629, 5737, 2480, 2295, 9617, 8663, 2850, 1010, 23658, 10629, 5737, 2480, 2083, 2188, 13578, 2860, 1006, 6097, 1007, 1010, 23658, 10629, 5737, 2480, 4654, 8586, 23056, 2015, 2013, 1996, 2880, 2609, 1006, 3645, 1007, 1010, 1998, 2478, 2019, 3784, 10463, 2121, 2006, 1996, 8417, 1997, 2115, 11089, 5371, 2000, 10463, 2009, 2046, 2019, 3746, 1012, 4526, 1996, 11089, 5371, 2003, 2788, 2025, 1037, 3291, 1012, 16401, 1996, 11089, 5371, 2000, 1037, 1052, 3070, 5371, 2064, 2022, 3697, 1012, 9167, 2115, 2944, 2000, 1037, 11089, 5371, 1996, 3642, 2917, 3642, 2097, 2147, 2006, 2151, 4082, 2291, 2004, 18750, 19421, 1996, 11089, 5371, 1998, 14338, 2009, 2004, 1037, 5371, 2315, 3392, 1012, 11089, 1012, 3392, 1012, 9167, 1035, 10629, 5737, 2480, 1006, 18856, 2546, 1010, 2041, 1035, 5371, 1027, 1000, 3392, 1012, 11089, 1000, 1010, 3444, 1035, 3415, 1027, 1042, 2078, 1010, 2465, 1035, 3415, 1027, 27166, 1010, 3561, 1027, 2995, 1007, 23658, 1998, 2478, 10629, 5737, 2480, 16401, 1996, 11089, 5371, 2046, 2019, 3746, 5371, 1006, 1052, 3070, 1010, 16545, 2290, 1010, 4385, 1007, 4050, 5942, 1996, 8272, 1997, 10629, 5737, 2480, 2029, 9041, 2006, 2115, 4082, 2291, 1998, 1037, 3677, 1997, 2060, 2477, 1012, 1996, 3125, 1997, 2023, 2930, 2003, 2000, 2393, 2111, 3046, 1998, 9611, 1996, 2691, 3277, 1997, 2893, 1996, 2206, 7561, 1012, 11089, 1024, 3094, 2025, 2179, 1012, 11089, 1024, 3094, 2025, 2179, 2129, 2000, 16500, 1998, 2224, 2006, 6097, 2083, 9617, 8663, 2850, 2000, 2022, 2583, 2000, 16500, 10629, 5737, 2480, 2006, 2115, 6097, 2083, 2023, 4118, 1010, 2017, 2034, 2342, 2000, 2031, 9617, 8663, 2850, 5361, 1006, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 5361, 1010, 2017, 2064, 4553, 2129, 2000, 16500, 2009, 2182, 1007, 1012, 2330, 1037, 5536, 1012, 2017, 2064, 2079, 2023, 2011, 22042, 2006, 1996, 17763, 23848, 3490, 14116, 3221, 2012, 1996, 2327, 2157, 1997, 1996, 3898, 1010, 2828, 5536, 1998, 2059, 11562, 2006, 1996, 5536, 12696, 1012, 2828, 1996, 3094, 2917, 2000, 16500, 10629, 5737, 2480, 1012, 9530, 2850, 16500, 18750, 1011, 10629, 5737, 2480, 2044, 2008, 1010, 2017, 2323, 2022, 2583, 2000, 2224, 1996, 11089, 3094, 2917, 2000, 10463, 1996, 11089, 5371, 2046, 1037, 1052, 3070, 5371, 1012, 11089, 1011, 1056, 2361, 3070, 3392, 1012, 11089, 1011, 1051, 3392, 1012, 1052, 3070, 2129, 2000, 16500, 1998, 2224, 2006, 6097, 2083, 2188, 13578, 2860, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 2030, 2074, 2215, 2178, 2126, 1997, 23658, 10629, 5737, 2480, 2006, 2115, 6097, 1010, 2017, 2064, 2224, 2188, 13578, 2860, 1012, 1045, 3130, 2626, 2019, 3720, 2006, 2129, 2000, 16500, 2188, 13578, 2860, 1998, 2224, 2009, 2000, 10463, 1037, 11089, 5371, 2046, 2019, 3746, 5371, 2182, 1006, 2156, 1996, 2188, 13578, 2860, 2000, 2393, 5107, 4697, 3247, 3628, 2930, 1997, 1996, 14924, 4818, 1007, 1012, 2129, 2000, 16500, 1998, 2224, 2006, 3645, 2083, 9617, 8663, 2850, 2023, 2003, 1996, 4118, 1045, 9544, 2006, 3645, 1012, 2000, 2022, 2583, 2000, 16500, 10629, 5737, 2480, 2006, 2115, 3645, 2083, 2023, 4118, 1010, 2017, 2034, 2342, 2000, 2031, 9617, 8663, 2850, 5361, 1006, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 5361, 1010, 2017, 2064, 4553, 2129, 2000, 16500, 2009, 2182, 1007, 1012, 2330, 1037, 5536, 1013, 3094, 25732, 1998, 4607, 1996, 3094, 2917, 2000, 16500, 10629, 5737, 2480, 1012, 9530, 2850, 16500, 18750, 1011, 10629, 5737, 2480, 2044, 2008, 1010, 2017, 2323, 2022, 2583, 2000, 2224, 1996, 11089, 3094, 2917, 2000, 10463, 1996, 11089, 5371, 2046, 1037, 1052, 3070, 5371, 1012, 11089, 1011, 1056, 2361, 3070, 3392, 1012, 11089, 1011, 1051, 3392, 1012, 1052, 3070, 3645, 23658, 1997, 10629, 5737, 2480, 2083, 9530, 2850, 1012, 2023, 2323, 8081, 1996, 1520, 11089, 1521, 2003, 2025, 3858, 2004, 2019, 4722, 2030, 6327, 3094, 1010, 3850, 3468, 2565, 2030, 14108, 5371, 3277, 1012, 2129, 2000, 16500, 1998, 2224, 2006, 3645, 2083, 10629, 5737, 2480, 4654, 8586, 23056, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 2030, 2074, 2215, 2178, 2126, 1997, 23658, 10629, 5737, 2480, 2006, 2115, 3645, 1010, 2017, 2064, 2224, 1996, 2206, 4957, 2000, 8816, 1998, 16500, 2009, 1012, 2065, 2017, 4995, 1521, 1056, 5220, 2007, 22552, 1996, 4130, 8023, 1998, 2215, 2000, 2224, 11089, 2006, 1996, 3094, 2240, 1010, 1045, 8627, 2060, 8107, 1012, 2045, 2024, 2116, 9991, 7840, 12314, 3980, 2241, 2006, 2023, 3327, 3277, 1012, 2129, 2000, 2224, 2019, 3784, 10463, 2121, 2000, 5107, 4697, 2115, 3247, 3628, 2065, 2035, 2842, 11896, 2030, 2017, 3432, 2123, 1521, 1056, 2215, 2000, 16500, 2505, 1010, 2017, 2064, 2224, 2019, 3784, 10463, 2121, 1012, 1999, 1996, 3746, 2917, 1010, 1045, 2441, 1996, 5371, 2007, 28341, 3793, 1006, 2295, 2045, 2024, 2116 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2268, 1050, 2094, 16459, 18906, 7583, 1037, 1012, 14093, 1010, 1049, 1012, 1040, 1012, 1010, 20579, 1998, 10439, 24178, 1058, 1012, 2110, 1997, 2167, 7734, 1010, 1040, 1013, 1038, 1013, 1037, 2118, 1997, 2167, 7734, 1010, 1998, 2852, 1012, 2585, 1046, 1012, 1996, 25538, 1010, 14258, 1010, 16362, 1998, 10439, 14774, 2229, 2053, 1012, 2263, 2692, 17788, 2549, 1012, 4259, 2457, 1997, 2167, 7734, 1012, 6406, 2251, 2756, 1010, 2268, 1012, 2703, 2888, 2026, 2121, 17231, 1006, 5275, 1007, 1998, 5215, 6108, 8945, 14515, 2078, 1006, 2596, 1007, 1010, 1052, 1012, 1051, 1012, 3482, 5585, 2629, 1010, 22029, 1010, 1050, 1012, 1040, 1012, 5388, 12376, 2475, 1011, 5641, 2683, 2629, 1010, 2005, 20579, 1998, 10439, 24178, 1012, 6415, 3017, 5143, 1006, 5275, 1007, 1010, 2569, 3353, 4905, 2236, 1010, 3891, 2968, 2407, 1010, 14883, 2264, 2301, 3927, 1010, 7621, 1018, 1010, 22029, 1010, 1050, 1012, 1040, 1012, 5388, 12376, 2509, 1010, 1998, 11382, 19020, 14916, 6790, 8965, 2368, 1006, 2006, 4766, 1007, 1010, 3353, 4905, 2236, 1010, 2167, 7734, 2436, 1997, 4905, 2236, 1010, 3156, 2167, 6280, 2395, 1010, 22029, 1010, 1050, 1012, 1040, 1012, 5388, 12376, 2487, 1010, 2005, 16362, 1998, 10439, 14774, 2229, 1012, 5448, 1997, 1996, 2457, 2011, 16400, 2290, 1010, 3425, 1012, 16400, 2290, 1010, 3425, 1012, 1031, 1086, 1015, 1033, 18906, 7583, 14093, 1010, 1049, 1012, 1040, 1012, 1010, 9023, 2013, 1037, 12654, 8689, 28913, 2010, 2895, 2114, 1996, 2110, 1997, 2167, 7734, 1010, 2725, 2449, 2004, 1996, 2118, 1997, 2167, 7734, 1010, 1998, 2114, 2852, 1012, 2585, 1996, 25538, 1010, 1996, 2472, 1997, 1996, 14079, 2565, 2012, 1996, 2118, 1005, 1055, 2082, 1997, 4200, 1998, 2740, 4163, 1010, 29217, 2013, 14093, 1005, 1055, 15322, 2013, 1996, 4722, 4200, 14079, 2565, 2012, 1996, 2118, 1005, 1055, 2082, 1997, 4200, 2005, 1000, 4297, 25377, 12870, 5897, 1999, 1996, 2181, 1997, 1031, 1052, 1033, 20996, 7959, 28231, 13911, 2213, 1012, 1000, 14093, 9251, 2010, 15322, 2013, 1996, 14079, 2565, 2001, 15275, 1998, 6178, 7277, 6313, 1010, 1998, 2002, 19514, 1996, 2212, 2457, 9413, 5596, 1999, 15080, 12654, 8689, 2138, 2045, 2024, 10218, 3314, 1997, 3430, 2755, 2006, 2169, 1997, 2010, 4447, 1012, 2057, 21358, 27972, 1012, 1045, 1031, 1086, 1016, 1033, 14093, 3852, 2013, 1996, 16094, 2118, 2082, 1997, 4200, 1999, 7795, 1999, 2639, 1012, 1999, 2251, 2541, 1010, 2002, 2211, 1037, 14079, 2731, 2565, 2007, 1996, 2966, 2267, 1997, 5273, 1010, 2029, 2443, 2093, 9963, 2015, 1012, 2004, 1037, 2765, 1997, 9312, 2015, 1999, 2216, 9963, 2015, 1010, 1996, 2082, 3253, 2032, 2093, 7047, 1024, 1006, 1015, 1007, 12897, 2013, 1996, 14079, 2565, 1025, 1006, 1016, 1007, 5138, 19703, 1998, 1037, 2128, 16969, 3508, 2933, 1025, 2030, 1006, 1017, 1007, 2202, 1037, 2681, 1997, 6438, 2013, 1996, 2565, 1998, 2424, 2178, 14079, 2565, 1012, 14093, 2787, 2000, 2202, 1037, 2681, 1997, 6438, 1998, 8302, 1999, 1037, 2695, 4619, 2095, 1015, 4722, 4200, 14079, 2565, 2012, 2264, 5298, 2110, 2118, 2013, 2257, 2494, 2083, 2244, 2432, 1012, 1031, 1086, 1017, 1033, 2006, 2255, 1015, 1010, 2432, 1010, 14093, 2211, 2019, 4722, 4200, 14079, 2565, 2012, 1996, 2118, 1005, 1055, 2082, 1997, 4200, 2005, 2010, 2695, 4619, 2095, 1016, 1012, 14093, 1005, 1055, 4646, 2000, 1996, 2118, 1005, 1055, 14079, 2565, 3205, 1996, 2966, 2267, 1997, 5273, 2104, 1000, 5719, 2966, 2495, 1006, 4642, 2063, 1007, 5352, 1999, 4722, 4200, 1010, 1000, 2738, 2084, 2104, 1037, 1000, 14079, 1000, 2930, 1012, 1999, 2258, 2384, 1010, 14093, 6472, 1037, 1000, 6319, 3206, 1000, 2007, 1996, 2118, 2005, 1037, 2731, 2565, 1999, 4722, 4200, 2012, 1996, 2695, 4619, 2095, 1017, 2504, 1010, 2029, 2743, 2013, 2255, 1015, 1010, 2384, 1010, 2083, 2244, 2382, 1010, 2294, 1012, 1996, 1000, 5039, 3206, 1000, 3024, 2008, 1000, 6413, 10618, 1031, 2052, 1033, 2022, 3024, 2588, 23045, 6503, 1997, 1996, 2495, 1998, 2731, 2565, 1010, 1000, 1998, 1000, 1031, 1057, 1033, 23971, 7315, 21450, 2030, 14516, 2135, 2625, 2084, 23045, 6319, 9312, 2064, 2765, 1999, 3223, 2128, 16969, 2140, 3450, 1010, 5741, 8636, 2013, 5704, 1010, 2030, 18287, 1997, 6107, 1998, 14079, 2495, 1012, 1000, 1996, 3206, 2036, 2056, 1996, 1000, 6319, 1031, 2071, 1033, 2022, 12527, 2005, 4895, 16846, 2483, 21450, 2030, 14516, 2135, 2625, 2084, 23045, 2836, 1997, 5704, 2004, 4340, 2011, 21238, 4513, 2030, 2005, 4945, 2000, 5082, 1999, 2966, 3716, 1998, 4813, 1012, 1000, 1031, 1086, 1018, 1033, 1999, 1037, 2238, 2654, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 1010, 1996, 2472, 1997, 1996, 14079, 2565, 1010, 6727, 14093, 2008, 2010, 1000, 3522, 5248, 1998, 11061, 5292, 1031, 1040, 1033, 2081, 1031, 1996, 25538, 1033, 2200, 4986, 2055, 1031, 14093, 1005, 1055, 1033, 3167, 2092, 1011, 2108, 1998, 5177, 2740, 1010, 1000, 1998, 1996, 25538, 6727, 14093, 2008, 2002, 2018, 2042, 2872, 2006, 2019, 1000, 5057, 2681, 1997, 6438, 2013, 1996, 14079, 2565, 1010, 14223, 1037, 13691, 9312, 1012, 1000, 14093, 3525, 2513, 2000, 1996, 2565, 2006, 2257, 1015, 1010, 2294, 1010, 2021, 2010, 5115, 6503, 3058, 2005, 2010, 14079, 2731, 2001, 3668, 2000, 2255, 2322, 1010, 2294, 1012, 1031, 1086, 1019, 1033, 1999, 2019, 2255, 2260, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 6727, 14093, 2008, 2002, 2001, 8184, 6731, 2013, 1996, 14079, 2565, 1010, 14223, 1037, 13691, 7749, 1010, 2005, 5936, 2055, 2010, 1000, 2658, 5248, 1012, 1000, 1999, 2019, 2255, 2603, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 22539, 14093, 1005, 1055, 3570, 2007, 1996, 14079, 2565, 1010, 2164, 2658, 2964, 5936, 2055, 14093, 1005, 1055, 4945, 2000, 26056, 2010, 14079, 2012, 1996, 2966, 2267, 1997, 5273, 1998, 1996, 6214, 1997, 2010, 6712, 2013, 2008, 2565, 1010, 14093, 1005, 1055, 6204, 4953, 26324, 1997, 1037, 2470, 8356, 2007, 2852, 1012, 2520, 10625, 1010, 1998, 14093, 1005, 1055, 6204, 4953, 1037, 2188, 3942, 2007, 1037, 5776, 1024, 2006, 2238, 2570, 1010, 2294, 1010, 1045, 2363, 2019, 10373, 2013, 2017, 4129, 2033, 2008, 2017, 2106, 2025, 13566, 2000, 3926, 2256, 2565, 1000, 2065, 2044, 2251, 1010, 2294, 2026, 21025, 7881, 3206, 1999, 14415, 9349, 2003, 2025, 2006, 1996, 4624, 1012, 1000, 1045, 2741, 2017, 1037, 7514, 8131, 2026, 2022, 29602, 4063, 3672, 1010, 1998, 2356, 2000, 3113, 2007, 2017, 1996, 2279, 2154, 1012, 1045, 2101, 2179, 2041, 2008, 2017, 2018, 2074, 4342, 1997, 2115, 4945, 2000, 2674, 2007, 1037, 21025, 7881, 2565, 1012, 1045, 2572, 2036, 5204, 2008, 2017, 2020, 2074, 5131, 1037, 9963, 2004, 1996, 2305, 14257, 6319, 1012, 1996, 2279, 2851, 1010, 1045, 2234, 2000, 2147, 1998, 3603, 1037, 2192, 15773, 3602, 2013, 2017, 2006, 2026, 4624, 17942, 2026, 1000, 10896, 2055, 1031, 14093, 1033, 2000, 1996, 2708, 3425, 1997, 1996, 2142, 2163, 2198, 7031, 1999, 1996, 2149, 4259, 2457, 1999, 2899, 1040, 1012, 1039, 1012, 2005, 1996, 4987, 4646, 1012, 2115, 6792, 17048, 27208, 11253, 3425, 2097, 2022, 12315, 1012, 1000, 1996, 3602, 2001, 4987, 2000, 1037, 2828, 15773, 1016, 1011, 3931, 1000, 3167, 4861, 2000, 1996, 4259, 2457, 1997, 1996, 2142, 2163, 1000, 2029, 1045, 2179, 2000, 2022, 2471, 4297, 11631, 7869, 3372, 1012, 2012, 2008, 2391, 1010, 1045, 4342, 2008, 2017, 2018, 2187, 2237, 2008, 2851, 2000, 4088, 1037, 10885, 1012, 1045, 2777, 2007, 2017, 1999, 2026, 2436, 2006, 2238, 2654, 1010, 2294, 1012, 2012, 2008, 2051, 1010, 2017, 2596, 2000, 2022, 5475, 1010, 18920, 1010, 1998, 9608, 1010, 2021, 1045, 2872, 2017, 2006, 2019, 5057, 2966, 2681, 2013, 1996, 2565, 14223, 1037, 13691, 9312, 1012, 1999, 2804, 2000, 1996, 3160, 1997, 2115, 5177, 2740, 1010, 1045, 2001, 2036, 4986, 2055, 2112, 1997, 1996, 4180, 1997, 2115, 1000, 3167, 4861, 2000, 1996, 4259, 2457, 1012, 1000, 1999, 2008, 6254, 1010, 2017, 3855, 2008, 2017, 2018, 2042, 1037, 6319, 2012, 1996, 2966, 2267, 1997, 5273, 1999, 1996, 2621, 1997, 2541, 1012, 1045, 2001, 2025, 3130, 5204, 1997, 2023, 1012, 1999, 2115, 8882, 19300, 2063, 2443, 2007, 2115, 4646, 2000, 2256, 2565, 1010, 2017, 2106, 2862, 2115, 8824, 14079, 1999, 4722, 4200, 2012, 2264, 5298, 2110, 2118, 1012, 2019, 3325, 2012, 1996, 2966, 2267, 1997, 5273, 2001, 3205, 2069, 1999, 2235, 6140, 2104, 1996, 5825, 1000, 5719, 2966, 2495, 1006, 4642, 2063, 1007, 5352, 1999, 4722, 4200, 1012, 1000, 2057, 20119, 1010, 2007, 2115, 6792, 1010, 2008, 2017, 2018, 2042, 1037, 6319, 2012, 11338, 2860, 1010, 1998, 2008, 2017, 5295, 1012, 2017, 9601, 2019, 4866, 13691, 9312, 2012, 1996, 2118, 1997, 6278, 1999, 2251, 2294, 1012, 1045, 2363, 1037, 3661, 2013, 2115, 18146, 2006, 2251, 2324, 1010, 2294, 1012, 1996, 18146, 2626, 2008, 2115, 13691, 8030, 2020, 6123, 8787, 1998, 3141, 2000, 3637, 29516, 1012, 2002, 5393, 2008, 2007, 3949, 1997, 1996, 3637, 16915, 1010, 2017, 2071, 2709, 2000, 2147, 2044, 2251, 2538, 1010, 2294, 1012, 2256, 6319, 9312, 1998, 12607, 2837, 8182, 2023, 3043, 2006, 2251, 2423, 1010, 2294, 1012, 1996, 2837, 6749, 2008, 2017, 2323, 2022, 18671, 2000, 1996, 2565, 2044, 7678, 1037, 3116, 2007, 1996, 2565, 2472, 1010, 2021, 2008, 5936, 2055, 2115, 2658, 2964, 2323, 2022, 3264, 1998, 2988, 1999, 1996, 2925, 2043, 11186, 2005, 22616, 1997, 2731, 2024, 2363, 1012, 1045, 2777, 2007, 2017, 2006, 2251, 2676, 1010, 2294, 1012, 2017, 2020, 18671, 2000, 1996, 2565, 2004, 1997, 2257, 1015, 1010, 2294, 1012, 2115, 11436, 6503, 3058, 2005, 1996, 2565, 2001, 14475, 2000, 2255, 2322, 1010, 2294, 2138, 1997, 2115, 3522, 2966, 2681, 1012, 2006, 2244, 2654, 1010, 2294, 1010, 2852, 1012, 2520, 10625, 2741, 2033, 1037, 3661, 14026, 2010, 5142, 2055, 2115, 2658, 5248, 3141, 2000, 2115, 4101, 2470, 3947, 1012, 2058, 1996, 2279, 2195, 2420, 1010, 1045, 2363, 3176, 11061, 2013, 2060, 4513, 1998, 3095, 14026, 5936, 2055, 2115, 5248, 1012, 2028, 1997, 1996, 5936, 2001, 2008, 2017, 7531, 1037, 2188, 3942, 2007, 1037, 5776, 2302, 6413, 7052, 7522, 10429, 1998, 2008, 2017, 11925, 1037, 7522, 2012, 1996, 14415, 9349, 2006, 2023, 5776, 1005, 1055, 6852, 1010, 2021, 2008, 2017, 2106, 2025, 23263, 6709, 4426, 2004, 1037, 6319, 7522, 1012, 2633, 1010, 2006, 2255, 2260, 1010, 2294, 1010, 1037, 3095, 2266, 1012, 1012, 1012, 2988, 2008, 2016, 2001, 2200, 10363, 2011, 2115, 5248, 1998, 2008, 2016, 2371, 25135, 1012, 1045, 2777, 2007, 2017, 2101, 2008, 2851, 1998, 6731, 2017, 2013, 1996, 2565, 14223, 1037, 13691, 9312, 1012, 2044, 1045, 4374, 1037, 3189, 2013, 2115, 18146, 1010, 2023, 3043, 2097, 2022, 3615, 2000, 1996, 6319, 9312, 1998, 12607, 2837, 1012, 2028, 1997, 1996, 3809, 3314, 2000, 2022, 2641, 2003, 1996, 3043, 1997, 2026, 9312, 1997, 2115, 2836, 1999, 2169, 4563, 5566, 9407, 1010, 2021, 2926, 1999, 2658, 2964, 1012, 1999, 2344, 2000, 4374, 4923, 2005, 1996, 2345, 2095, 1997, 2731, 1998, 5147, 3143, 2256, 2565, 1010, 1037, 2353, 1011, 2095, 6319, 2442, 2022, 2445, 23045, 8599, 1999, 2169, 5566, 9407, 2181, 1012, 2026, 5790, 1997, 2115, 2836, 1999, 2658, 2964, 2097, 2022, 4340, 2044, 6413, 3319, 1997, 1996, 5609, 14801, 2682, 1012, 1031, 1086, 1020, 1033, 1999, 1037, 2281, 1020, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 6727, 14093, 2008, 1996, 2118, 1005, 1055, 6319, 9312, 1998, 12607, 2837, 2018, 8182, 14093, 1005, 1055, 3570, 1998, 6749, 28913, 14093, 2013, 1996, 14079, 2565, 1012, 1999, 2008, 3661, 1010, 1996, 25538, 6727, 14093, 1997, 2010, 15322, 2013, 1996, 14079, 2565, 1012, 1031, 1086, 1021, 1033, 14093, 12068, 1996, 15322, 2000, 1037, 6319, 4189, 2832, 1998, 24665, 2666, 21789, 4994, 5997, 1010, 2029, 4504, 1999, 2019, 10358, 17302, 4994, 2077, 1037, 5997, 1997, 2274, 7435, 1012, 1996, 4994, 5997, 19768, 1996, 3247, 2000, 19776, 14093, 2013, 1996, 14079, 2565, 2005, 1000, 4297, 25377, 12870, 5897, 1999, 1996, 2181, 1997, 1031, 1052, 1033, 20996, 7959, 28231, 13911, 2213, 1010, 1000, 4531, 1024, 1048, 1007, 1996, 4431, 2000, 2093, 2706, 1999, 1996, 2966, 2267, 1997, 5273, 14079, 2006, 1996, 26226, 2852, 1012, 14093, 7864, 2007, 2010, 6151, 1012, 1012, 1012, 4646, 3544, 2206, 1037, 2930, 2006, 5719, 2966, 2495, 4923, 1998, 2025, 1999, 1996, 2930, 2007, 2010, 2264, 5298, 2110, 2118, 14079, 2095, 1012, 2002, 23439, 2023, 2001, 2019, 3535, 2000, 19819, 2023, 14079, 12912, 1012, 2006, 2010, 4646, 2005, 3901, 2005, 1996, 12436, 1010, 2772, 1018, 1011, 2656, 1011, 5840, 1010, 2002, 3205, 2009, 4415, 2104, 3025, 13960, 14767, 1010, 2174, 1010, 2002, 7039, 1037, 1000, 2053, 1000, 3433, 2000, 1037, 3160, 1000, 2306, 1996, 2197, 2274, 2086, 2031, 2017, 5295, 2030, 3394, 2013, 1037, 2597, 2044, 2108, 19488, 2017, 2052, 2022, 28675, 2030, 14374, 1010, 2030, 2044, 3980, 2055, 2115, 6612, 22219, 2020, 2992, 1029, 1000, 1996, 3661, 2013, 2852, 1012 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 19998, 15488, 2497, 1013, 25022, 10343, 7375, 1012, 6970, 1011, 2832, 4807, 1998, 2315, 8667, 8304, 9385, 1006, 1039, 1007, 4080, 13012, 11818, 3363, 2826, 1011, 2687, 15488, 2497, 2544, 8304, 9385, 1006, 1039, 1007, 2198, 1044, 28774, 4523, 6494, 2786, 1011, 2687, 2023, 2565, 2003, 2489, 4007, 1025, 2017, 2064, 2417, 2923, 3089, 8569, 2618, 2009, 1998, 1013, 2030, 19933, 2009, 2104, 1996, 3408, 1997, 1996, 27004, 2236, 2270, 6105, 2004, 2405, 2011, 1996, 2489, 4007, 3192, 1025, 2593, 2544, 1016, 1997, 1996, 6105, 1010, 2030, 1006, 2012, 2115, 5724, 1007, 2151, 2101, 2544, 1012, 2023, 2565, 2003, 5500, 1999, 1996, 3246, 2008, 2009, 2097, 2022, 6179, 1010, 2021, 2302, 2151, 10943, 2100, 1025, 2302, 2130, 1996, 13339, 10943, 2100, 1997, 6432, 8010, 2030, 10516, 2005, 1037, 3327, 3800, 1012, 2156, 1996, 27004, 2236, 2270, 6105, 2005, 2062, 4751, 1012, 2017, 2323, 2031, 2363, 1037, 6100, 1997, 1996, 27004, 2236, 2270, 6105, 2247, 2007, 2023, 2565, 1025, 2065, 2025, 1010, 4339, 2000, 1996, 2489, 4007, 3192, 1010, 4297, 1012, 1010, 6163, 2629, 3742, 13642, 1010, 4729, 1010, 5003, 6185, 17134, 2683, 1010, 3915, 1012, 1008, 1013, 1013, 1008, 2023, 5371, 16024, 1996, 2315, 8667, 1998, 5653, 14540, 4140, 4455, 1999, 1996, 15488, 19279, 5521, 2015, 8778, 1008, 1013, 1001, 2421, 1000, 2950, 1012, 1044, 1000, 4654, 16451, 20014, 4098, 1035, 4604, 1025, 1001, 9375, 11265, 12171, 1035, 2025, 6342, 9397, 15613, 2753, 4654, 16451, 20014, 15488, 2497, 1035, 3191, 1035, 7561, 1025, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 4809, 11709, 1998, 2951, 1010, 2004, 2734, 1010, 2046, 1996, 15488, 2497, 17698, 1008, 2119, 1008, 1996, 2951, 1998, 11498, 5244, 5433, 2323, 2022, 13115, 1012, 2023, 2003, 11865, 11818, 2094, 1999, 1996, 1054, 15042, 12432, 2011, 2012, 2556, 1010, 2069, 1996, 2951, 2930, 2003, 1012, 2023, 2089, 2022, 1037, 2825, 3426, 1997, 2070, 1997, 1996, 12997, 2278, 3471, 2108, 5281, 1012, 1048, 2243, 20464, 23833, 3207, 2278, 2683, 2581, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1013, 10763, 11675, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1006, 25869, 1008, 2041, 8569, 2546, 1010, 20014, 25705, 1010, 25869, 1008, 1054, 28689, 2213, 1010, 20014, 11498, 2213, 1035, 16396, 1010, 20014, 11498, 2213, 1035, 18798, 1010, 25869, 1008, 16428, 6790, 1010, 20014, 2951, 1035, 16396, 1010, 20014, 2951, 1035, 18798, 1007, 1063, 25869, 1008, 6100, 1035, 2046, 1027, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1025, 2065, 1006, 11498, 2213, 1035, 18798, 1026, 1014, 1007, 11498, 2213, 1035, 18798, 1027, 1014, 1025, 2065, 1006, 2951, 1035, 18798, 1026, 1014, 1007, 2951, 1035, 18798, 1027, 1014, 1025, 2139, 8569, 2290, 1006, 1019, 1010, 1006, 1000, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1024, 11498, 5244, 1031, 1003, 1040, 1012, 1012, 1003, 1040, 1033, 2951, 1031, 1003, 1040, 1012, 1012, 1003, 1040, 1033, 1032, 1050, 1000, 1010, 11498, 2213, 1035, 16396, 1010, 11498, 2213, 1035, 16396, 1009, 11498, 2213, 1035, 18798, 1010, 2951, 1035, 16396, 1010, 2951, 1035, 16396, 1009, 2951, 1035, 18798, 1007, 1007, 1025, 2065, 1006, 11498, 2213, 1035, 18798, 1007, 2033, 12458, 7685, 1006, 6100, 1035, 2046, 1010, 1004, 1054, 28689, 2213, 1031, 11498, 2213, 1035, 16396, 1033, 1010, 11498, 2213, 1035, 18798, 1007, 1025, 6100, 1035, 2046, 1009, 1027, 11498, 2213, 1035, 18798, 1009, 25705, 1025, 2065, 1006, 2951, 1035, 18798, 1007, 2033, 12458, 7685, 1006, 6100, 1035, 2046, 1010, 1004, 16428, 6790, 1031, 2951, 1035, 16396, 1033, 1010, 2951, 1035, 18798, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 4604, 1037, 9099, 7514, 1012, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1013, 11675, 4604, 1035, 9099, 1035, 7514, 1006, 25869, 1008, 2041, 8569, 2546, 1010, 25869, 1008, 1054, 28689, 2213, 1010, 20014, 1054, 28689, 2213, 1035, 18798, 1010, 25869, 1008, 16428, 6790, 1010, 20014, 16428, 6790, 1035, 18798, 1010, 22017, 2140, 17698, 1035, 2205, 1035, 2312, 1007, 1063, 20014, 2023, 1035, 25510, 6790, 1010, 2023, 1035, 6948, 5400, 2213, 1025, 20014, 2000, 2102, 1035, 2951, 1035, 2741, 1027, 1014, 1025, 20014, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1027, 1014, 1025, 20014, 25705, 1025, 20014, 25510, 6790, 1027, 16428, 6790, 1029, 16428, 6790, 1035, 18798, 1024, 1014, 1025, 20014, 6948, 5400, 2213, 1027, 1054, 28689, 2213, 1029, 1054, 28689, 2213, 1035, 18798, 1024, 1014, 1025, 2065, 1006, 17698, 1035, 2205, 1035, 2312, 1007, 2139, 8569, 2290, 1006, 1019, 1010, 1006, 1000, 4604, 1035, 9099, 1035, 7514, 1024, 17698, 1003, 1040, 2205, 2312, 1032, 1050, 1000, 1010, 25510, 6790, 1007, 1007, 1025, 2023, 1035, 6948, 5400, 2213, 1027, 8117, 1006, 6948, 5400, 2213, 1010, 4098, 1035, 4604, 1011, 3156, 1007, 1025, 1013, 1008, 20578, 1008, 1013, 2023, 1035, 25510, 6790, 1027, 8117, 1006, 25510, 6790, 1010, 4098, 1035, 4604, 1011, 1006, 3156, 1009, 2023, 1035, 6948, 5400, 2213, 1007, 1007, 1025, 25705, 1027, 1006, 1006, 2023, 1035, 6948, 5400, 2213, 1007, 1003, 1018, 1007, 1025, 2065, 1006, 17698, 1035, 2205, 1035, 2312, 1007, 1063, 7561, 1035, 2119, 1006, 3570, 1035, 17698, 1035, 2058, 12314, 1010, 9413, 20683, 2015, 1010, 9413, 10867, 19574, 6790, 1007, 1025, 1065, 2275, 1035, 4471, 1006, 2041, 8569, 2546, 1010, 2184, 1010, 1015, 1009, 25705, 1009, 2023, 1035, 25510, 6790, 1009, 2023, 1035, 6948, 5400, 2213, 1010, 2995, 1007, 1025, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1006, 2041, 8569, 2546, 1010, 25705, 1010, 1054, 28689, 2213, 1010, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1010, 2023, 1035, 6948, 5400, 2213, 1010, 16428, 6790, 1010, 2000, 2102, 1035, 2951, 1035, 2741, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2692, 1010, 6948, 5400, 2213, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2487, 1010, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2509, 1010, 2023, 1035, 6948, 5400, 2213, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2549, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2629, 1010, 1014, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2575, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2581, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1009, 2023, 1035, 6948, 5400, 2213, 1009, 25705, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2620, 1010, 1014, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2683, 1010, 1014, 1007, 1025, 2265, 1035, 5796, 2290, 1006, 2041, 8569, 2546, 1007, 1025, 2065, 1006, 999, 4604, 1035, 15488, 2497, 1006, 15488, 2497, 2094, 1035, 8241, 1035, 1042, 2094, 1006, 1007, 1010, 2041, 8569, 2546, 1007, 1007, 6164, 1035, 8241, 1035, 4550, 2135, 1006, 1000, 4604, 1035, 9099, 1035, 7514, 1024, 4604, 1035, 15488, 2497, 3478, 1012, 1000, 1007, 1025, 2000, 2102, 1035, 2951, 1035, 2741, 1027, 2023, 1035, 25510, 6790, 1025, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1027, 2023, 1035, 6948, 5400, 2213, 1025, 2096, 1006, 2000, 2102, 1035, 2951, 1035, 2741, 1026, 25510, 6790, 1064, 1064, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1026, 6948, 5400, 2213, 1007, 1063, 2023, 1035, 6948, 5400, 2213, 1027, 8117, 1006, 6948, 5400, 2213, 1011, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1010, 4098, 1035, 4604, 1011, 3156, 1007, 1025, 1013, 1008, 20578, 1008, 1013, 2023, 1035, 25510, 6790, 1027, 8117, 1006, 25510, 6790, 1011, 2000, 2102, 1035, 2951, 1035, 2741, 1010, 4098, 1035, 4604, 1011, 1006, 3156, 1009, 2023, 1035, 6948, 5400, 2213, 1007, 1007, 1025, 2065, 1006, 2023, 1035, 6948, 5400, 2213, 1026, 1014, 1007, 2023, 1035, 6948, 5400, 2213, 1027, 1014, 1025, 2065, 1006, 2023, 1035, 25510, 6790, 1026, 1014, 1007, 2023, 1035, 25510, 6790, 1027, 1014, 1025, 25705, 1027, 1006, 2023, 1035, 6948, 5400, 2213, 1003, 1018, 1007, 1025, 2275, 1035, 4471, 1006, 2041, 8569, 2546, 1010, 2184, 1010, 1015, 1009, 2023, 1035, 25510, 6790, 1009, 2023, 1035, 6948, 5400, 2213, 1009, 25705, 1010, 6270, 1007, 1025, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1006, 2041, 8569, 2546, 1010, 25705, 1010, 1054, 28689, 2213, 1010, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1010, 2023, 1035, 6948, 5400, 2213, 1010, 16428, 6790, 1010, 2000, 2102, 1035, 2951, 1035, 2741, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2509, 1010, 2023, 1035, 6948, 5400, 2213, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2549, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2629, 1010, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2575, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2581, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1009, 2023, 1035, 6948, 5400, 2213, 1009, 25705, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2620, 1010, 2000, 2102, 1035, 2951, 1035, 2741, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2683, 1010, 1014, 1007, 1025, 2265, 1035, 5796, 2290, 1006, 2041, 8569, 2546, 1007, 1025, 2065, 1006, 999, 4604, 1035, 15488, 2497, 1006, 15488, 2497, 2094, 1035, 8241, 1035, 1042, 2094, 1006, 1007, 1010, 2041, 8569, 2546, 1007, 1007, 6164, 1035, 8241, 1035, 4550, 2135, 1006, 1000, 4604, 1035, 9099, 1035, 7514, 1024, 4604, 1035, 15488, 2497, 3478, 1012, 1000, 1007, 1025, 2000, 2102, 1035, 2951, 1035, 2741, 1009, 1027, 2023, 1035, 25510, 6790, 1025, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1009, 1027, 2023, 1035, 6948, 5400, 2213, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2076, 6064, 16012, 6508, 3372, 24124, 1010, 19395, 2239, 14194, 2571, 20049, 3207, 16510, 15006, 24556, 2015, 2024, 4991, 2046, 2037, 2139, 11636, 12541, 12322, 2239, 14194, 2571, 20049, 3207, 5662, 2015, 3081, 1996, 4372, 9096, 12644, 4023, 1997, 19395, 2239, 14194, 2571, 26601, 2417, 14194, 18260, 1006, 2465, 1045, 1011, 1011, 3523, 1007, 1034, 1031, 1030, 1054, 2620, 1033, 1034, 1012, 10232, 2135, 1010, 1037, 1006, 1017, 1531, 1010, 1016, 1531, 1007, 1011, 6714, 2415, 5670, 5158, 1010, 4525, 1999, 1156, 1011, 1039, 1011, 1011, 1051, 16596, 28231, 1998, 9614, 1997, 2300, 1006, 1031, 20965, 1012, 20720, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 6195, 1996, 8122, 1997, 2023, 10256, 4372, 9096, 12644, 2832, 2000, 18856, 5243, 3726, 1039, 1011, 1011, 1051, 9547, 2000, 9699, 25354, 23618, 1010, 2057, 2695, 8898, 3251, 2019, 19639, 5072, 2832, 2071, 5258, 2007, 3722, 6544, 2015, 1010, 2107, 2004, 2777, 4819, 4747, 1010, 2000, 3229, 7490, 7783, 2015, 2005, 2224, 1999, 10368, 5416, 21913, 1006, 1031, 20965, 1012, 26314, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 1999, 1996, 20632, 6370, 2451, 1010, 2045, 2003, 3652, 5157, 2005, 1996, 3622, 4955, 1997, 2632, 4801, 2140, 2967, 1011, 1011, 2926, 25003, 2967, 1011, 1011, 2000, 21770, 10624, 12069, 5267, 1010, 2445, 2037, 3747, 2006, 4319, 18089, 1998, 6887, 27292, 22684, 4939, 16530, 17879, 1034, 1031, 1030, 1054, 2683, 1033, 1034, 1012, 1996, 2330, 1011, 5806, 2804, 1997, 2632, 4801, 2140, 7490, 7783, 2015, 2000, 21770, 10624, 12069, 5267, 1010, 2124, 2004, 1996, 7163, 11020, 2072, 4668, 1034, 1031, 1030, 1054, 10790, 1033, 1034, 1010, 2038, 2468, 1037, 2364, 9153, 2100, 8651, 2007, 5041, 4646, 2306, 2715, 4319, 5456, 1034, 1031, 1030, 1054, 14526, 1033, 1034, 1012, 6854, 1010, 2116, 2783, 4725, 2024, 3132, 1999, 2037, 4646, 2000, 2397, 1011, 2754, 8360, 3989, 1997, 3375, 10737, 2349, 2000, 2037, 18642, 2588, 1996, 2224, 1997, 2844, 2358, 19419, 4048, 28993, 23060, 8524, 7666, 2030, 8319, 7715, 2000, 9699, 1996, 2128, 24871, 2632, 4801, 2140, 23618, 1034, 1031, 1030, 1054, 2509, 1033, 1011, 1011, 1031, 1030, 1054, 2575, 1033, 1034, 1012, 16101, 10085, 3597, 1998, 11190, 2953, 11451, 3728, 7645, 1037, 6302, 23417, 2595, 1011, 4937, 20766, 5422, 2632, 4801, 13490, 8778, 2478, 2566, 28479, 2015, 2004, 1996, 2632, 4801, 2140, 7490, 14988, 2015, 1034, 1031, 1030, 1054, 2581, 1033, 1034, 1012, 2445, 1996, 2110, 1997, 1996, 2396, 1010, 2057, 3728, 8781, 3251, 1037, 2236, 2632, 4801, 13490, 8778, 2071, 2022, 14917, 1999, 2029, 1037, 5041, 2846, 1997, 4942, 16643, 8525, 11187, 2071, 2022, 5361, 2013, 3722, 3293, 6544, 2015, 2104, 10256, 3785, 1012, 5710, 2422, 1011, 19872, 6302, 23417, 2595, 4937, 20766, 6190, 2038, 6003, 1999, 3522, 2086, 2004, 1037, 3928, 6028, 1999, 7554, 10752, 2008, 27777, 2309, 1011, 10496, 4651, 1006, 2275, 1007, 2824, 2007, 7554, 23725, 1034, 1031, 1030, 1054, 12521, 1033, 1011, 1011, 1031, 1030, 1054, 16932, 1033, 1034, 1012, 2023, 2236, 5656, 4473, 2005, 1996, 2458, 1997, 5416, 21913, 2008, 2024, 2411, 26475, 2030, 2747, 5263, 3081, 4556, 2048, 1011, 10496, 16910, 1012, 3728, 1010, 2256, 5911, 3107, 1037, 3117, 7037, 6302, 23417, 2595, 1011, 5812, 24755, 9080, 21252, 4132, 2000, 9585, 1996, 8360, 3989, 1997, 14477, 6593, 21967, 1008, 11867, 1008, 1034, 1017, 1034, 1011, 1039, 1011, 1011, 1044, 9547, 1034, 1031, 1030, 1054, 16068, 1033, 1011, 1011, 1031, 1030, 1054, 16576, 1033, 1034, 1012, 2023, 26244, 19726, 3640, 3229, 2000, 7490, 7783, 2015, 3081, 1039, 1011, 1011, 1044, 24504, 1010, 4525, 1999, 1996, 2810, 1997, 10368, 1039, 1011, 1011, 1039, 9547, 3081, 1037, 7490, 1011, 1011, 7490, 19780, 7337, 1012, 2007, 1996, 12369, 4227, 2013, 2023, 7037, 26244, 2291, 1998, 2256, 3522, 2147, 2006, 1996, 2458, 1997, 1037, 6302, 23417, 2595, 1011, 4937, 20766, 5422, 7163, 11020, 2072, 4668, 1034, 1031, 1030, 1054, 15136, 1033, 1034, 1010, 2057, 8781, 3251, 2009, 2052, 2022, 2825, 2000, 9699, 2632, 4801, 2140, 23618, 2013, 6544, 2015, 1998, 12666, 2068, 2004, 2632, 4801, 22248, 6074, 1999, 1037, 21770, 10624, 10464, 12644, 1039, 1011, 1011, 1044, 8360, 3989, 4668, 1006, 1031, 20965, 1012, 1015, 2278, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2096, 2045, 2024, 1037, 2261, 2220, 4311, 1997, 6544, 2015, 2004, 2632, 4801, 2140, 7490, 14988, 2015, 2719, 3081, 2152, 1011, 2943, 20868, 12173, 18963, 1006, 23068, 2422, 1998, 13091, 9938, 1007, 1034, 1031, 1030, 1054, 16147, 1033, 1011, 1011, 1031, 1030, 1054, 17465, 1033, 1034, 1010, 1037, 2236, 1998, 15873, 5656, 2005, 2478, 6544, 2015, 2004, 2397, 3372, 2632, 4801, 22248, 6074, 2038, 2042, 26475, 1012, 2023, 8651, 2052, 5050, 1037, 3622, 1039, 1011, 1011, 1044, 2632, 4801, 13490, 1997, 21770, 10624, 10464, 12644, 2015, 2007, 6544, 2015, 3081, 1037, 6714, 1011, 2415, 5670, 12732, 1010, 15349, 1044, 1066, 1016, 1066, 1051, 2004, 1996, 2069, 2011, 21572, 8566, 6593, 1012, 2057, 3858, 2008, 2023, 10256, 2632, 4801, 22248, 7709, 2052, 3710, 2004, 1037, 3928, 1998, 2236, 4118, 1999, 2397, 1011, 2754, 8360, 3989, 1010, 2478, 11088, 2800, 1998, 12990, 6544, 2015, 2004, 2397, 3372, 2632, 4801, 22248, 6074, 1012, 1037, 6851, 6412, 1997, 2256, 3818, 7037, 26244, 7337, 2005, 1996, 2632, 4801, 13490, 1997, 21770, 10624, 12069, 5267, 2007, 6544, 2015, 2003, 14801, 1999, 1031, 20965, 1012, 1016, 1033, 1006, 1001, 1042, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1012, 20868, 12173, 18963, 1997, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1015, 1008, 1008, 1007, 1006, 4903, 2100, 1027, 1016, 1011, 6887, 2368, 8516, 7685, 14615, 3170, 1010, 26718, 10322, 7685, 1027, 1018, 1010, 1018, 1531, 1011, 4487, 1011, 1008, 28774, 2102, 1008, 1011, 2021, 8516, 1011, 1016, 1010, 1016, 1531, 1011, 12170, 7685, 14615, 3170, 1007, 2097, 9699, 1996, 2146, 1011, 2973, 1034, 1032, 1008, 1034, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1016, 1008, 1008, 1007, 7568, 2110, 1006, 1174, 1027, 4583, 2581, 24978, 1007, 1034, 1031, 1030, 1054, 19317, 1033, 1034, 1012, 2004, 1034, 1032, 1008, 1034, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1016, 1008, 1008, 1007, 2064, 3853, 2004, 1037, 2417, 14194, 5794, 2102, 2030, 2019, 23060, 8524, 3372, 1010, 2057, 2695, 8898, 2008, 1008, 1008, 1016, 1008, 1008, 2052, 13595, 1037, 2309, 1011, 10496, 4651, 2724, 2007, 1037, 17266, 3089, 8873, 13247, 11712, 1997, 20843, 4383, 21770, 10624, 12069, 2638, 1008, 1008, 1017, 1008, 1008, 2000, 17820, 1996, 2034, 26244, 5402, 1998, 3073, 1996, 23060, 28173, 6774, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 1012, 2445, 1996, 2511, 19577, 4022, 1997, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 1032, 1031, 1008, 1041, 1008, 1066, 1015, 1013, 1016, 1066, 1034, 2417, 1034, 1027, 1009, 1015, 1012, 2538, 1058, 5443, 1012, 23489, 10250, 8462, 2140, 28688, 1006, 8040, 2063, 1007, 1999, 10381, 1066, 1017, 1066, 27166, 1032, 1033, 1034, 1031, 1030, 1054, 19317, 1033, 1034, 1010, 2057, 11436, 2008, 2309, 1011, 10496, 4651, 1006, 2275, 1007, 2013, 1996, 16215, 20282, 16771, 1008, 1008, 1019, 1008, 1008, 1006, 1008, 1041, 1008, 1066, 1015, 1013, 1016, 1066, 1034, 2417, 1034, 1027, 1009, 1014, 1012, 5594, 1058, 5443, 1012, 8040, 2063, 2005, 22330, 8602, 2063, 1007, 1034, 1031, 1030, 1054, 21926, 1033, 1034, 2000, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 2052, 5258, 1998, 1010, 2044, 2139, 21572, 2669, 3370, 1010, 6519, 24014, 1996, 16215, 28008, 2140, 7490, 1008, 1008, 1020, 1008, 1008, 2096, 4192, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1015, 1008, 1008, 1007, 2000, 1996, 26244, 5402, 1012, 2012, 2023, 2754, 1010, 2057, 14609, 2008, 1996, 16215, 28008, 2140, 7490, 1008, 1008, 1020, 1008, 1008, 2052, 13595, 9732, 13787, 4651, 2007, 1996, 6544, 1008, 1008, 1021, 1008, 1008, 1006, 1037, 12435, 16215, 20282, 1010, 25003, 1016, 1011, 21442, 17695, 3406, 10732, 12259, 1055, 1011, 1011, 1044, 1038, 3207, 1027, 6584, 21117, 2389, 1013, 9587, 2140, 1034, 1031, 1030, 1054, 18827, 1033, 1034, 1010, 2033, 11631, 1155, 1011, 1039, 1011, 1011, 1044, 1038, 3207, 1027, 5986, 21117, 2389, 1013, 9587, 2140, 1034, 1031, 1030, 1054, 17788, 1033, 1034, 1007, 2000, 3073, 1996, 1155, 1011, 23060, 2100, 7490, 1008, 1008, 1022, 1008, 1008, 1998, 19723, 24454, 3686, 1996, 16215, 20282, 16771, 1008, 1008, 1019, 1008, 1008, 1010, 5533, 2011, 1996, 11508, 3466, 1999, 1996, 6653, 2110, 1034, 1031, 1030, 1054, 23833, 1033, 1034, 1012, 1996, 11508, 3466, 2003, 1037, 9487, 3200, 2008, 12939, 6022, 2203, 2121, 7446, 2594, 1039, 1011, 1011, 1044, 24504, 2015, 2008, 2052, 2025, 2022, 2825, 4728, 1034, 1031, 1030, 1054, 22907, 1033, 1034, 1012, 1996, 16371, 14321, 7361, 19466, 2594, 1155, 1011, 23060, 2100, 7490, 1008, 1008, 1022, 1008, 1008, 2052, 2059, 5587, 2000, 1996, 20843, 4383, 10496, 1011, 13366, 20132, 4002, 27065, 10624, 12069, 2638, 1008, 1008, 1017, 1008, 1008, 1999, 1037, 7163, 11020, 2072, 1011, 2828, 12732, 2000, 8984, 1996, 24432, 8516, 7490, 4937, 3258, 1008, 1008, 1023, 1008, 1008, 1012, 1996, 4525, 1155, 1011, 1039, 1011, 1011, 1044, 5416, 1997, 1008, 1008, 1023, 1008, 1008, 2003, 12949, 24171, 2000, 13595, 2139, 21572, 2669, 3370, 2000, 2433, 1996, 1155, 1011, 13096, 7490, 1008, 1008, 2184, 1008, 1008, 1034, 1031, 1030, 1054, 22407, 1033, 1034, 1012, 2012, 2023, 12022, 14890, 1010, 7783, 1008, 1008, 2184, 1008, 1008, 2003, 3539, 2094, 2000, 13595, 1037, 6714, 1011, 2415, 5670, 2000, 11027, 1044, 1066, 1016, 1066, 1051, 1998, 9699, 17770, 8516, 2594, 7490, 1008, 1008, 2340, 1008, 1008, 1012, 1996, 4525, 2330, 1011, 5806, 2427, 2052, 2059, 13595, 20843, 3370, 2628, 2011, 1037, 2117, 2275, 2724, 2007, 1996, 7568, 6302, 11266, 20766, 3367, 2000, 19723, 24454, 3686, 1996, 3161, 23060, 8524, 3372, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 2096, 4346, 9059, 2632, 4801, 13490, 4031, 1008, 1008, 2260, 1008, 1008, 1012, 2057, 2034, 8920, 2023, 2047, 2632, 4801, 13490, 8778, 2478, 11163, 12519, 18861, 2063, 1998, 2777, 4819, 4747, 2004, 1996, 19780, 5826, 1998, 16330, 1037, 2846, 1997, 6302, 11266, 20766, 12837, 1998, 16215, 20282, 16771, 2015, 1012, 2057, 2020, 7537, 2000, 7523, 2008, 2478, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1052, 2546, 1066, 1020, 1066, 1006, 1008, 1008, 1015, 1008, 1008, 1007, 1998, 3802, 29598, 1016, 1011, 21442, 17695, 14399, 18981, 3258, 3686, 1006, 1008, 1008, 1019, 1008, 1008, 1007, 1010, 2247, 2007, 1008, 1052, 1008, 1011, 2000, 7630, 28553, 21007, 12356, 5648, 1998, 2630, 2419, 2015, 2004, 1996, 2422, 3120, 1010, 2057, 2020, 2583, 2000, 6162, 1996, 9059, 1039, 1011, 1011, 1039, 19780, 2000, 3073, 1015, 1011, 25003, 19565, 12519, 18861, 2063, 1006, 1008, 1008, 2321, 1008, 1008, 1007, 1999, 6227, 1003, 10750, 1006, 2156, 1031, 26215, 2592, 1033, 1006, 1001, 17371, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1012, 14780, 1010, 2057, 5159, 3904, 1997, 1996, 9059, 4031, 1999, 1996, 6438, 1997, 6302, 11266, 20766, 3367, 1010, 16215, 20282, 16771, 1010, 5648, 1010, 2030, 2422, 1010, 14313, 1996, 9095, 1997, 2035, 6177, 1999, 2023, 7037, 26244, 8778, 1012, 5546, 1010, 2023, 4118, 5942, 2069, 5410, 5710, 2422, 1998, 17093, 4860, 2000, 16500, 25003, 4942, 16643, 8525, 11187, 2478, 2777, 4819, 4747, 2004, 1996, 2632, 4801, 22248, 4005, 1012, 2007, 1996, 15502, 3785, 1999, 2192, 1010, 2057, 4912, 2000, 16157, 1996, 2236, 3012, 1997, 2023, 7037, 26244, 2632, 4801, 13490, 8651, 1012, 2004, 11548, 1999, 1031, 20965, 1012, 23842, 1033, 1006, 1001, 1042, 2509, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1010, 1037, 2898, 2846, 1997, 21770, 10624, 10464, 12644, 2015, 2024, 25003, 4383, 2104, 1996, 4668, 3785, 1012, 11163, 12519, 18861, 2229, 2007, 10496, 1011, 24260, 3436, 2030, 1011, 21779, 4942, 16643, 8525, 11187, 1006, 2107, 2004, 25003, 4942, 16643, 8525, 11187, 1010, 28517, 2869, 1010, 1998, 11085 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3141, 3906, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2005, 6653, 3384, 15420, 2007, 10047, 5740, 8458, 2891, 8458, 18842, 8516, 16942, 1010, 2156, 1024, 20704, 2483, 1008, 3802, 2632, 1012, 1008, 1006, 2727, 1031, 1030, 22861, 2487, 1033, 1010, 2722, 1031, 1030, 22861, 2475, 1033, 1007, 1012, 2005, 1996, 26244, 4023, 1997, 20377, 1006, 10047, 5740, 8458, 2891, 8458, 18842, 8516, 1007, 24481, 1998, 2049, 16942, 1010, 2156, 1024, 2940, 1004, 19625, 1006, 2526, 1031, 1030, 22861, 2549, 1033, 1007, 1025, 5003, 1008, 3802, 2632, 1012, 1008, 1006, 2249, 1031, 1030, 22861, 2629, 1033, 1007, 1012, 2005, 1996, 6121, 3252, 1997, 2019, 19639, 7328, 1010, 2156, 1024, 2940, 1004, 19625, 1006, 2526, 1031, 1030, 22861, 2549, 1033, 1007, 1012, 6388, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1063, 1001, 10819, 2475, 1012, 1015, 1065, 1001, 1001, 1001, 6121, 2951, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1015, 1065, 1039, 1066, 3486, 1066, 1044, 1066, 2382, 1066, 1050, 1066, 1018, 1066, 1052, 1066, 1016, 1066, 1008, 1049, 1008, 1008, 1066, 1054, 1066, 1008, 1027, 5179, 2620, 1012, 5401, 8202, 10085, 22153, 2278, 1010, 1008, 1037, 1008, 1027, 2570, 1012, 28952, 1006, 1021, 1007, 1037, 1008, 1038, 1008, 1027, 1023, 1012, 16087, 1006, 1017, 1007, 1037, 1008, 1039, 1008, 1027, 2756, 1012, 3438, 2575, 1006, 1023, 1007, 1037, 29720, 1027, 9402, 1012, 6584, 2581, 1006, 1019, 1007, 1080, 1008, 1058, 1008, 1027, 5354, 22025, 1006, 1017, 1007, 1037, 1034, 1017, 1034, 1008, 1062, 1008, 1027, 1022, 5302, 1008, 1047, 1008, 1155, 8249, 29728, 1027, 1014, 1012, 2324, 3461, 1034, 1597, 2487, 1034, 1008, 1056, 1008, 1027, 26953, 1047, 2692, 1012, 2871, 1095, 1014, 1012, 2382, 1095, 1014, 1012, 2322, 3461, 1001, 1001, 1001, 2951, 3074, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1016, 1065, 7987, 15851, 2099, 13450, 6137, 10507, 2094, 2181, 1011, 19034, 4487, 4246, 22648, 20389, 15141, 7875, 21748, 16790, 18140, 1024, 4800, 1011, 13594, 1006, 1008, 6517, 7875, 2015, 1008, 1025, 7987, 15851, 2099, 1010, 2289, 1031, 1030, 22861, 2509, 1033, 1007, 1008, 1056, 1008, 1066, 8117, 1066, 1027, 1014, 1012, 4293, 2509, 1010, 1008, 1056, 1008, 1066, 4098, 1066, 1027, 1015, 1012, 2199, 16048, 29345, 7594, 16055, 16086, 19481, 2981, 16055, 19961, 10790, 16055, 2007, 1008, 1045, 1008, 1032, 1028, 1016, 29733, 1006, 1008, 1045, 1008, 1007, 1008, 1054, 1008, 1066, 20014, 1066, 1027, 1014, 1012, 5840, 2487, 1001, 1001, 1001, 25416, 3170, 3672, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1017, 1065, 1008, 1054, 1008, 1032, 1031, 1008, 1042, 1008, 1034, 1016, 1034, 1032, 1028, 1016, 29733, 1006, 1008, 1042, 1008, 1034, 1016, 1034, 1007, 1032, 1033, 1027, 1014, 1012, 5757, 2692, 1008, 23277, 1008, 1006, 1008, 1042, 1008, 1034, 1016, 1034, 1007, 1027, 1014, 1012, 14010, 1008, 1055, 1008, 1027, 1015, 1012, 29185, 19481, 16055, 24434, 2692, 11709, 2232, 1011, 13787, 11709, 27570, 29722, 29732, 1066, 4098, 1066, 1027, 1014, 1012, 4464, 1041, 1037, 1034, 1597, 2509, 1034, 1158, 29732, 1066, 8117, 1066, 1027, 1597, 2692, 1012, 2654, 1041, 1037, 1034, 1597, 2509, 1034, 1063, 1001, 1040, 2629, 2063, 22610, 2509, 1065, 2951, 3074, 1024, 1008, 13450, 2475, 1008, 1006, 7987, 15851, 2099, 1010, 2289, 1031, 1030, 22861, 2509, 1033, 1007, 1025, 3526, 25416, 3170, 3672, 1024, 1008, 13450, 2475, 1008, 1998, 1008, 3002, 1008, 1006, 7987, 15851, 2099, 1010, 2289, 1031, 1030, 22861, 2509, 1033, 1007, 1025, 2951, 7312, 1024, 1008, 3002, 1008, 1025, 2565, 1006, 1055, 1007, 2109, 2000, 9611, 3252, 1024, 1008, 2016, 2140, 2595, 2015, 2683, 2581, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 2565, 1006, 1055, 1007, 2109, 2000, 25416, 3170, 3252, 1024, 1008, 2016, 2140, 2595, 2140, 2683, 2581, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 8382, 8389, 1024, 1008, 2016, 2140, 18413, 2140, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 4007, 2109, 2000, 7374, 3430, 2005, 4772, 1024, 1008, 2016, 2140, 18413, 2140, 1008, 1998, 1008, 18858, 2078, 1008, 1006, 11867, 5937, 1010, 2268, 1031, 1030, 22861, 2581, 1033, 1007, 1012, 26215, 3430, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 6121, 3252, 1024, 3397, 2951, 23467, 1006, 1055, 1007, 1045, 1010, 3795, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 6342, 2361, 2487, 1012, 25022, 2546, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 6342, 2361, 2487, 1012, 25022, 2546, 1007, 3252, 5876, 1024, 3397, 2951, 23467, 1006, 1055, 1007, 1045, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2475, 1012, 22563, 2140, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2475, 1012, 22563, 2140, 1007, 26215, 3430, 5371, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2509, 1012, 4642, 2140, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2509, 1012, 4642, 2140, 1007, 3176, 26215, 4475, 1024, 1031, 6121, 21197, 20721, 2592, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 10255, 6279, 8873, 4244, 1029, 1041, 2480, 19317, 28311, 1004, 5371, 1027, 1041, 2480, 19317, 28311, 6342, 2361, 2692, 1012, 16129, 1004, 2771, 4168, 1027, 3793, 1013, 16129, 1007, 1025, 1031, 7605, 3193, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 4604, 6895, 2546, 1029, 1041, 2480, 19317, 28311, 6342, 2361, 2487, 1004, 1053, 4328, 4168, 1027, 25022, 2546, 1007, 1025, 1031, 4638, 6895, 2546, 3189, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 3259, 1029, 1041, 2480, 19317, 28311, 1004, 4638, 6895, 2546, 1027, 2748, 1007, 26215, 2951, 1998, 4481, 2005, 2023, 3259, 2024, 2800, 2013, 1996, 1045, 14194, 2099, 4816, 8264, 1006, 4431, 1024, 1031, 1041, 2480, 19317, 28311, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 10255, 6279, 1029, 1041, 2480, 19317, 28311, 1007, 1007, 1012, 1996, 6048, 2024, 8794, 2005, 3361, 2490, 2013, 4162, 1998, 3937, 2470, 3192, 1997, 21607, 2874, 1006, 2053, 1012, 2268, 19797, 16068, 2549, 1007, 1010, 2330, 3192, 1997, 3145, 5911, 1997, 5636, 4200, 7692, 6370, 1010, 2110, 5636, 3821, 3222, 1004, 3757, 1997, 2495, 1010, 21607, 2118, 1997, 24904, 1006, 2053, 1012, 1049, 9096, 18613, 10790, 2487, 1007, 1012, 7615, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 20377, 1006, 10047, 5740, 8458, 2891, 8458, 18842, 2100, 1007, 24481, 1998, 2049, 16942, 2024, 15411, 2172, 3086, 2349, 2000, 2037, 12379, 12016, 5248, 1006, 20704, 2483, 1008, 3802, 2632, 1012, 1008, 1010, 2727, 1010, 2722, 1007, 1998, 1996, 26244, 4023, 1997, 2037, 6653, 3384, 15420, 1006, 2940, 1004, 19625, 1010, 2526, 1025, 5003, 1008, 3802, 2632, 1012, 1008, 1010, 2249, 1007, 1012, 2182, 2378, 1010, 2057, 3189, 1996, 6121, 3252, 1997, 1037, 18847, 1011, 6887, 2891, 21850, 3490, 11233, 1010, 8419, 1006, 1006, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 27605, 3630, 1007, 16510, 10222, 8516, 8458, 2891, 8458, 18842, 8516, 1007, 1006, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 1011, 1050, 1011, 16510, 10222, 8516, 8458, 2891, 21850, 3630, 10631, 3630, 1007, 24481, 1012, 1999, 1996, 6121, 3252, 1997, 1996, 2516, 7328, 1010, 1996, 1006, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 27605, 3630, 1007, 16510, 10222, 8516, 8458, 2891, 8458, 18842, 8516, 1998, 1996, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 1011, 1050, 1011, 16510, 10222, 8516, 8458, 2891, 21850, 3630, 10631, 3630, 2967, 2024, 4987, 2000, 1996, 25003, 2007, 1037, 1052, 2475, 1011, 1011, 1011, 1039, 2575, 1011, 1011, 1011, 1050, 2487, 6466, 1997, 12457, 1012, 5641, 1006, 1016, 1007, 1080, 1012, 1996, 1052, 2475, 1027, 1050, 2509, 5416, 3091, 1997, 1015, 1012, 5354, 2509, 1006, 1016, 1007, 1037, 2003, 12435, 2000, 2008, 1997, 1052, 1027, 1050, 12103, 1997, 1015, 1012, 29541, 1006, 1017, 1007, 1998, 1015, 1012, 5401, 2509, 1006, 1017, 1007, 1037, 1999, 20377, 1006, 10047, 5740, 8458, 2891, 8458, 18842, 2100, 1007, 24481, 1006, 2940, 1004, 19625, 1010, 2526, 1007, 1012, 1996, 10737, 9991, 2247, 1996, 1008, 1038, 1008, 8123, 1998, 6970, 8663, 2638, 6593, 2083, 1039, 16703, 1011, 1011, 1011, 1044, 16703, 1006, 1052, 12541, 3593, 8516, 1007, 1087, 1087, 1087, 1050, 2475, 1034, 1045, 1034, 1006, 1052, 12541, 3593, 8516, 1007, 10266, 1006, 1040, 1087, 1087, 1087, 1037, 1017, 1012, 5401, 2581, 1006, 1017, 1007, 1037, 1010, 2795, 1015, 1007, 1010, 5716, 2019, 10709, 4677, 1012, 2122, 5903, 8859, 2024, 2582, 6970, 24230, 3081, 29248, 2487, 1011, 1011, 1011, 1044, 17465, 1006, 17770, 8625, 1007, 1087, 1087, 1087, 1050, 2509, 1034, 2462, 1034, 1006, 13096, 1007, 1998, 29248, 2620, 1011, 1011, 1011, 1044, 22407, 1006, 17770, 8625, 1007, 1087, 1087, 1087, 1039, 2290, 1034, 3523, 1034, 10266, 2000, 2433, 1037, 2093, 1011, 8789, 7705, 1006, 1039, 2290, 5836, 1996, 1039, 2581, 2000, 27723, 2475, 17770, 8625, 3614, 1010, 2795, 1015, 1007, 1012, 14991, 9537, 1024, 1045, 1024, 1060, 1010, 1061, 1009, 1015, 1010, 1062, 1025, 2462, 1024, 1060, 1010, 1011, 1061, 1011, 1015, 1010, 1062, 1011, 1014, 1012, 1019, 1025, 3523, 1024, 1011, 1060, 1010, 1061, 1011, 1015, 1010, 1011, 1062, 1009, 1014, 1012, 1019, 1012, 6388, 1063, 1001, 6388, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2000, 1037, 5576, 1997, 1014, 1012, 1018, 2290, 1006, 1014, 1012, 1015, 3461, 4747, 1007, 1050, 1011, 1006, 1006, 1052, 12541, 28173, 2078, 1011, 1016, 1011, 1061, 10278, 5740, 1007, 25003, 1007, 1052, 12541, 28173, 4859, 1011, 1016, 1011, 24432, 2063, 1999, 2871, 19875, 10381, 1066, 1016, 1066, 18856, 1066, 1016, 1066, 2012, 2282, 4860, 1037, 5576, 1997, 1014, 1012, 3429, 1043, 1006, 1014, 1012, 1016, 3461, 4747, 1007, 10381, 10626, 7716, 11514, 10222, 8516, 8458, 2891, 20738, 1999, 1996, 3739, 1997, 3802, 1066, 1017, 1066, 1050, 1999, 2184, 19875, 2000, 7630, 8625, 2001, 2794, 4530, 14244, 1010, 2076, 2029, 1050, 1066, 1016, 1066, 3806, 7964, 1012, 2044, 1016, 1044, 18385, 1996, 28573, 3756, 5576, 2001, 9345, 17822, 4383, 1010, 3228, 1037, 2317, 9898, 1012, 1996, 2317, 9898, 2001, 2059, 5459, 1998, 16405, 22618, 2011, 5930, 10381, 21716, 10610, 12565, 2006, 9033, 19341, 21500, 1006, 5930, 1997, 1016, 4642, 6705, 1010, 3449, 24997, 2102, 1024, 4487, 2818, 10626, 8462, 21604, 2063, 1013, 9078, 12259, 1027, 5345, 1024, 1019, 1010, 1058, 1013, 1058, 1007, 1010, 1998, 1996, 2516, 7328, 2001, 4663, 1999, 3438, 1003, 10750, 1012, 4589, 14438, 1997, 1996, 2516, 7328, 2383, 2779, 9646, 1997, 1014, 1012, 2871, 1095, 1014, 1012, 2382, 1095, 1014, 1012, 2322, 3461, 1034, 1017, 1034, 2020, 4663, 2011, 4030, 9345, 17822, 3370, 2013, 1037, 5576, 1997, 4487, 2818, 10626, 8462, 21604, 2063, 1013, 1008, 1050, 1010, 1050, 1008, 1011, 27211, 16921, 10270, 2953, 2863, 24284, 1015, 1013, 1015, 1006, 1058, 1013, 1058, 1007, 1012, 25416, 3170, 3672, 1063, 1001, 25416, 3170, 3672, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 9732, 13353, 2020, 2872, 1999, 7812, 3550, 4460, 1998, 3039, 2000, 4536, 2006, 1996, 7882, 6351, 13353, 1010, 2007, 1039, 1011, 1011, 1011, 1044, 1027, 1014, 1012, 6109, 1037, 1998, 1014, 1012, 5989, 1037, 2005, 12098, 8516, 1998, 25003, 8625, 9732, 2015, 1010, 4414, 1012, 1008, 1057, 1066, 11163, 1066, 1008, 1006, 1044, 1007, 1027, 1015, 1012, 1016, 1008, 1057, 1066, 1041, 4160, 1066, 1008, 1006, 1039, 1007, 1012, 4481, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 999, 1031, 1996 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2027, 2655, 2014, 1529, 22003, 11789, 2045, 2024, 3056, 3152, 2008, 2468, 3378, 2007, 2028, 27427, 20806, 3468, 3746, 1012, 2005, 2742, 1010, 2009, 1521, 1055, 2524, 2000, 2228, 1997, 2167, 2011, 4514, 2302, 9530, 9103, 4892, 1037, 5177, 3861, 1997, 20533, 3946, 2108, 13303, 2011, 2008, 10416, 1011, 6497, 2121, 1010, 2030, 1997, 6170, 2378, 1521, 1999, 1996, 4542, 2302, 3202, 3773, 4962, 5163, 5689, 2125, 1997, 2008, 10437, 19894, 1012, 1999, 1996, 2553, 1997, 1996, 10275, 2895, 2143, 2027, 2655, 2014, 1529, 22003, 11789, 1010, 1996, 3746, 2008, 26597, 3310, 2000, 2568, 1516, 2005, 2216, 5220, 2007, 1996, 2143, 1010, 2012, 2560, 1516, 2003, 2008, 1997, 2272, 2135, 2732, 9388, 7373, 3389, 4435, 21837, 2019, 16625, 2559, 1010, 17718, 21531, 2571, 1011, 8460, 2098, 1010, 2387, 2098, 1011, 2125, 13305, 2096, 5102, 1999, 1037, 16634, 1521, 1055, 10427, 1998, 15536, 23344, 1006, 4283, 1010, 3449, 11685, 1007, 1012, 9388, 7373, 1521, 1055, 2839, 2003, 4147, 2008, 2131, 1011, 2039, 2005, 1996, 3800, 1997, 1999, 8873, 7096, 15172, 1037, 6080, 1997, 12290, 2040, 2024, 2036, 17330, 2004, 16752, 1012, 2295, 1010, 1997, 2607, 1010, 4209, 1996, 6123, 1997, 1996, 3746, 2987, 1521, 1056, 2079, 2505, 2000, 5547, 2049, 10768, 24788, 6553, 4424, 3715, 1012, 1999, 2755, 1010, 2000, 2026, 2568, 1010, 1996, 2878, 11967, 2003, 1037, 3819, 2742, 1997, 1037, 12127, 2667, 2000, 2031, 2009, 2119, 3971, 1012, 1999, 1037, 2406, 2004, 6171, 2718, 2011, 1996, 3234, 1059, 3511, 8029, 2004, 1996, 5137, 1010, 1037, 16634, 1521, 1055, 5292, 14454, 14428, 7666, 4287, 1037, 2025, 4297, 5644, 18688, 3085, 3815, 1997, 12613, 8441, 1010, 1998, 3135, 1013, 3213, 1013, 2472, 6173, 22551, 2182, 3594, 1996, 12290, 1521, 17266, 15928, 13910, 6313, 6107, 1997, 2008, 11721, 15185, 2004, 1037, 1523, 2129, 2919, 2024, 2027, 1524, 10467, 1997, 1996, 11143, 1997, 2216, 12290, 1521, 12700, 2100, 1010, 2021, 2059, 2036, 13495, 2009, 1999, 2172, 1996, 2168, 5450, 2370, 1999, 2344, 2000, 14841, 28345, 3686, 1998, 9446, 4697, 2010, 4378, 1012, 2023, 2003, 1037, 4438, 14427, 3185, 11721, 28878, 1010, 1997, 2607, 1010, 2021, 1045, 2228, 2008, 1010, 1999, 2023, 2553, 1010, 2009, 1521, 1055, 2036, 4387, 1997, 2019, 2572, 5638, 17479, 5897, 2008, 1521, 1055, 8281, 1997, 2119, 2715, 16138, 1006, 2129, 2116, 1523, 4654, 1011, 10774, 1524, 2079, 2017, 2113, 2040, 4995, 1521, 1056, 2145, 2004, 6171, 5360, 2011, 1996, 4676, 2004, 2027, 2020, 2043, 2027, 2020, 12560, 2009, 1029, 1007, 1998, 1997, 10275, 3226, 1012, 2044, 2035, 1010, 2069, 1996, 5137, 2071, 2031, 2550, 1037, 3185, 2066, 3449, 3702, 10730, 1521, 9033, 15000, 1010, 1037, 2143, 2008, 1010, 2005, 2035, 7848, 2015, 1998, 5682, 1010, 3849, 2000, 2022, 1037, 8040, 9910, 2094, 2114, 3412, 1011, 2241, 4424, 22422, 1998, 2049, 28573, 2566, 27774, 1997, 4792, 1010, 2021, 2029, 6411, 2229, 2049, 4471, 1999, 2061, 2172, 24560, 2075, 13425, 1997, 2668, 8688, 1998, 17216, 9527, 2008, 2009, 1521, 1055, 3697, 2000, 3929, 5959, 1996, 12990, 2440, 1011, 19124, 16371, 25469, 1998, 2379, 1011, 13076, 3348, 2008, 2009, 8509, 1999, 2326, 1997, 14026, 2009, 1012, 2995, 1010, 2009, 1521, 1055, 2145, 2825, 2005, 1996, 4056, 13972, 2000, 9120, 1996, 6248, 2433, 1997, 1996, 2143, 1521, 1055, 9882, 2732, 3814, 11648, 8685, 1010, 2021, 2025, 2302, 7079, 1037, 3056, 3815, 1997, 19409, 5897, 1012, 2009, 1521, 1055, 2004, 2065, 2057, 1521, 2128, 3773, 2209, 2041, 1999, 1996, 2143, 1996, 2645, 2090, 1996, 4792, 2000, 3459, 2125, 1996, 26136, 13043, 1010, 6703, 1011, 13128, 2544, 1997, 16138, 7900, 2013, 1996, 2406, 1521, 1055, 3009, 16844, 17629, 2015, 1998, 1996, 6171, 13749, 27361, 3218, 1997, 2008, 4676, 16158, 2013, 5606, 1997, 2086, 1997, 27885, 8043, 21789, 1012, 16047, 1010, 22003, 11789, 1520, 1055, 2544, 1997, 2023, 2572, 5638, 17479, 5897, 2003, 2025, 2061, 15723, 4892, 2004, 2000, 11693, 9934, 2046, 2049, 3451, 6147, 1010, 2007, 1996, 2765, 2008, 2057, 2064, 3432, 5959, 2009, 2004, 1037, 2143, 2055, 1037, 2980, 14556, 2040, 14464, 2039, 2066, 1037, 2277, 3203, 1998, 13783, 4485, 2039, 1012, 2023, 2003, 4415, 2129, 2119, 2643, 1998, 6173, 22551, 3832, 2009, 1012, 2027, 2655, 2014, 1529, 22003, 11789, 2001, 1996, 2117, 2143, 2000, 2022, 2550, 2011, 22551, 1521, 1055, 19021, 2143, 5453, 1010, 1998, 1996, 2034, 2000, 2022, 2856, 2011, 2032, 1517, 2348, 2002, 2106, 2061, 2104, 1996, 13881, 2577, 9482, 1010, 10712, 2000, 11598, 1996, 2143, 1521, 1055, 9167, 1011, 5379, 1523, 2248, 1524, 2514, 1012, 2066, 1996, 3025, 19021, 2537, 1010, 1996, 16012, 8713, 2879, 1010, 1996, 2143, 13538, 2006, 7704, 3361, 5150, 2013, 5264, 1010, 1998, 3881, 2013, 1996, 2334, 5264, 2319, 5848, 4770, 2005, 2049, 2732, 1012, 1999, 1996, 2553, 1997, 1996, 16012, 8713, 2879, 1010, 2008, 2732, 2001, 1037, 3157, 1011, 2095, 1011, 2214, 16894, 3410, 2011, 1996, 2171, 1997, 3779, 8038, 2361, 1010, 1998, 1010, 1999, 1996, 2553, 1997, 22003, 11789, 1010, 2009, 2001, 1037, 9171, 2095, 2214, 5939, 18136, 2102, 2007, 9062, 2210, 2143, 3325, 2011, 1996, 2171, 1997, 15467, 2402, 1012, 2402, 2001, 4217, 2011, 22551, 2013, 2058, 2093, 3634, 17362, 4567, 2013, 9179, 4455, 2218, 1999, 5264, 1010, 4291, 4290, 1010, 6027, 1998, 1996, 5137, 1010, 1998, 2001, 2574, 2128, 1011, 4828, 6675, 2011, 1996, 2472, 2007, 1996, 2171, 9388, 7373, 3389, 1517, 2019, 3535, 2011, 22551, 2000, 8627, 8924, 2007, 5503, 3389, 1999, 1996, 9273, 1997, 2010, 3832, 4378, 1012, 1045, 2481, 1521, 1056, 2424, 2151, 2592, 2055, 2054, 2785, 1997, 7761, 2840, 4281, 2402, 2453, 2031, 2018, 2012, 1996, 2051, 1997, 2437, 22003, 11789, 1010, 4998, 2013, 3649, 2731, 2016, 2001, 2445, 1999, 7547, 2005, 1996, 2143, 1010, 2021, 2009, 2428, 2987, 1521, 1056, 3043, 1012, 1996, 3125, 2007, 1996, 2143, 2001, 2000, 11506, 3787, 1997, 4291, 4290, 2895, 5691, 1998, 1996, 5416, 3152, 1010, 2096, 2012, 1996, 2168, 2051, 1517, 1998, 2087, 5525, 1517, 4526, 2019, 4004, 13637, 2000, 1038, 2721, 2595, 24759, 28100, 3370, 18869, 2015, 2066, 21772, 27679, 1521, 1055, 22003, 3557, 1012, 1998, 1999, 3408, 1997, 1996, 21452, 1997, 2049, 18577, 11865, 2895, 1010, 1996, 2736, 4031, 6436, 2015, 1037, 2521, 6428, 2155, 14062, 2000, 2137, 1038, 2721, 2595, 24759, 28100, 3370, 5988, 2084, 2000, 2151, 1997, 2049, 2060, 7780, 2015, 1012, 2023, 2003, 1996, 2828, 1997, 7761, 2840, 2143, 2073, 1996, 7902, 2003, 2872, 7933, 2006, 8478, 2919, 1011, 4632, 2559, 22382, 2004, 4941, 2000, 2941, 23448, 2151, 13359, 2559, 5829, 1012, 1999, 2755, 1010, 2028, 3364, 1999, 3327, 1516, 2652, 1037, 2650, 1011, 10897, 4126, 5795, 2040, 1010, 1999, 1996, 2394, 12931, 1010, 6160, 2015, 18856, 8780, 2000, 2010, 1523, 20184, 2099, 1524, 1516, 10637, 1037, 2806, 2200, 2714, 2000, 2008, 1997, 1996, 2828, 1997, 2058, 1011, 14727, 18577, 11865, 4258, 5470, 2017, 1521, 1040, 2156, 12560, 2010, 5829, 1999, 1037, 1021, 1011, 2340, 5581, 2843, 2067, 1999, 1996, 2154, 1012, 1999, 2151, 2553, 1010, 2402, 17210, 2000, 2022, 22429, 2005, 1996, 2755, 2008, 2016, 7283, 2864, 1996, 3484, 1997, 2014, 2219, 28465, 1999, 1996, 3185, 1010, 1998, 3092, 2039, 2007, 2014, 4189, 3745, 1997, 26988, 2015, 1010, 18438, 1998, 9898, 7641, 2000, 6011, 2009, 1012, 2402, 1521, 1055, 2839, 1010, 1996, 12960, 5796, 1012, 11789, 1010, 2003, 1037, 5264, 1011, 2241, 6970, 18155, 4005, 2040, 1521, 1055, 2170, 2588, 2011, 2014, 22983, 2000, 8556, 1037, 8075, 4675, 21156, 2075, 3614, 1012, 2056, 4675, 21156, 2545, 1010, 2009, 3849, 1010, 2024, 6224, 2000, 25174, 1996, 27974, 3741, 2011, 9451, 2037, 18730, 2007, 8275, 9598, 1010, 2295, 2013, 2073, 1998, 2083, 2054, 6833, 2003, 4242, 1012, 2975, 2014, 6745, 2879, 1011, 9121, 1999, 2014, 3309, 2282, 1999, 9011, 1010, 18856, 8780, 7659, 2014, 10885, 2460, 1998, 4641, 2067, 2000, 5264, 2000, 2707, 1996, 5690, 1012, 2014, 2034, 2693, 2003, 2000, 3046, 1998, 4009, 1996, 3086, 1997, 1996, 12290, 2011, 2183, 2046, 1037, 2533, 3573, 1998, 9343, 2019, 6450, 3422, 2007, 1037, 11333, 2094, 1997, 8275, 5356, 1012, 14599, 1010, 2009, 1521, 1055, 5525, 1037, 4030, 2739, 2154, 1999, 5264, 1010, 1998, 2320, 2016, 1521, 1055, 10439, 2890, 22342, 2098, 2011, 1996, 3573, 1521, 1055, 3036, 4932, 1517, 2040, 4089, 6709, 1996, 2769, 2004, 4675, 21156, 2750, 2149, 2074, 2108, 2409, 2129, 3294, 27427, 2923, 2075, 27020, 25459, 2571, 2009, 2001, 2013, 1996, 2613, 2518, 1517, 2009, 4515, 2039, 2893, 22055, 2408, 1996, 2279, 2154, 1521, 1055, 2392, 3931, 19377, 1012, 1998, 2027, 2123, 1521, 1056, 2130, 3046, 2000, 3348, 2009, 2039, 1012, 1996, 17653, 2074, 9631, 1523, 2450, 6583, 15499, 1999, 29466, 1012, 3573, 1524, 1010, 2029, 6083, 2000, 2033, 2008, 1996, 3259, 1521, 1055, 1523, 1038, 1524, 2930, 2003, 2763, 3561, 2007, 16701, 6115, 1997, 2111, 2460, 25486, 1999, 7884, 1998, 4582, 8701, 2135, 2012, 2235, 6077, 1012, 2023, 2003, 5525, 2054, 5235, 2005, 11320, 14615, 4735, 20397, 1999, 1037, 2406, 2073, 2017, 2064, 2131, 4727, 2005, 17492, 16031, 1012, 4312, 1010, 18856, 8780, 1521, 1055, 27608, 23215, 2004, 1523, 2450, 6583, 15499, 1999, 29466, 1012, 3573, 1524, 5260, 2000, 2014, 2108, 20361, 1998, 2579, 2000, 1996, 1523, 20184, 2099, 1524, 1997, 12098, 3995, 1010, 1996, 17289, 2650, 1011, 10897, 5795, 1997, 1996, 4675, 21156, 2075, 3614, 1521, 1055, 5264, 3169, 1012, 2445, 2014, 5891, 2004, 1037, 2450, 2040, 9382, 5363, 2000, 6855, 12197, 2083, 6206, 2965, 1010, 12098, 3995, 8100, 4122, 2000, 2156, 1037, 10467, 1997, 2014, 18577, 11865, 4813, 1010, 1998, 2061, 1037, 3940, 1997, 9590, 2024, 9813, 2006, 1996, 3962, 1012, 1996, 2034, 2954, 1010, 2090, 18856, 8780, 1998, 1037, 7146, 1997, 2690, 1011, 4793, 14039, 1010, 2003, 3876, 2043, 18856, 8780, 11473, 2015, 2125, 2014, 9764, 2012, 1037, 3145, 2617, 2000, 7487, 1996, 4408, 3756, 2980, 6471, 14523, 14663, 2016, 1521, 1055, 4147, 7650, 1010, 2007, 1996, 2765, 2008, 2014, 7892, 2468, 2205, 23962, 2007, 2437, 5923, 2099, 2159, 2012, 2014, 2000, 26399, 2014, 7407, 10006, 1012, 1996, 2279, 7336, 1037, 3232, 6474, 16894, 4364, 1010, 1998, 4515, 2043, 18856, 8780, 2515, 2028, 1997, 2216, 7901, 1011, 4367, 7197, 29195, 2058, 1996, 20184, 2099, 2813, 1012, 2014, 8087, 2007, 12098, 3995, 2383, 3024, 2498, 2062, 2084, 1996, 4495, 2005, 1037, 3232, 1997, 23100, 2021, 14036, 2895, 2275, 4109, 1010, 18856, 8780, 2279, 4076, 1037, 2599, 3024, 2011, 2014, 22983, 2000, 1996, 2143, 1521, 1055, 2279, 10990, 2248, 3295, 1010, 4291, 4290, 1012, 2750, 1996, 2143, 1521, 1055, 4004, 21877, 4305, 28637, 1010, 2056, 2334, 2063, 2003, 3107, 2007, 1996, 2785, 1997, 1523, 19992, 24008, 24494, 21354, 2015, 1524, 3315, 16091, 2017, 1521, 1040, 5987, 2000, 2963, 1999, 1037, 2720, 1012, 11789, 3185, 2013, 1996, 26313, 1517, 6168, 6974, 22003, 11789, 1521, 1055, 3556, 2003, 1997, 1037, 14855, 16671, 2100, 3528, 4350, 2675, 2135, 1999, 1996, 2053, 2158, 1521, 1055, 2455, 2090, 1038, 2721, 2595, 24759, 28100, 3370, 11962, 1998, 26232, 6023, 6670, 2189, 1012, 18856, 8780, 1521, 1055, 22563, 14855, 16671, 5260, 2000, 1996, 5456, 2008, 1996, 6887, 16585, 8236, 2024, 2108, 20673, 11533, 2503, 25067, 1997, 16876, 9389, 2008, 2024, 2108, 12057, 1999, 2013, 1996, 5137, 1012, 2044, 1037, 2709, 2000, 1996, 1052, 1012, 1045, 1012, 1010, 2195, 3431, 1997, 22054, 1010, 1998, 1037, 3232, 2062, 25850, 18647, 18577, 11865, 7465, 1010, 18856, 8780, 1521, 1055, 29454, 29206, 2102, 6317, 2147, 5260, 2000, 2014, 26944, 2075, 1996, 4675, 21156, 2545, 1521, 29588, 1024, 1037, 3234, 6408, 2284, 2006, 1037, 6556, 18573, 1012, 1996, 2919, 4364, 1010, 2057, 2097, 2156, 1010, 2031, 8580, 1996, 16752, 2040, 2024, 1996, 27167, 28857, 1997, 1996, 2173, 1010, 1998, 2024, 2478, 2049, 5286, 2000, 2119, 6140, 1996, 8275, 8236, 1998, 3965, 1996, 25067, 1997, 12090, 6350, 3659, 1999, 2029, 2027, 1521, 2128, 2108, 20673, 11533, 1012, 18856, 8780, 1521, 1055, 17817, 2024, 4484, 2043, 2016, 24451, 1010, 1999, 1996, 2607, 1997, 2725, 2070, 7739, 9867, 1010, 2008, 1996, 16752, 2040, 6477, 1996, 5286, 2024, 12043, 2015, 1010, 1998, 2008, 2027, 2024, 19819, 2075, 6882, 4255, 2104, 2037, 14243, 1012, 1999, 2216, 5312, 1999, 2027, 2655, 2014, 1529, 22003, 11789, 2043, 15467, 2402, 3475, 1521, 1056, 11973, 1999, 29276, 18577, 11865, 7465, 1010, 2030, 2208, 2135, 4488, 9055, 28465, 1010, 2009, 2064, 1521, 1056, 2022, 2056, 2008, 2016, 3599, 7641, 2039, 1996, 3898, 2007, 2014, 25869, 2964, 2050, 1998, 3348, 5574, 1012, 2023, 2003, 2025, 2000, 2360, 1010, 2174, 1010, 2008, 2016, 14087, 3739, 4498, 1012, 2009, 1521, 1055, 2074, 2008, 5106, 2003, 1037, 7199, 2659, 3145, 3739, 1012, 3452, 1045, 1521, 1040, 2360, 2008, 2016, 3310, 2408, 2004, 2108, 8242, 1998, 5622, 2912, 3468, 1010, 2295, 2008, 8605, 2006, 2026, 2112, 2453 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3770, 2629, 1042, 1012, 10514, 9397, 1012, 14010, 1006, 2826, 1007, 6425, 1046, 1012, 9261, 1010, 3781, 1012, 1010, 10360, 1039, 1012, 9261, 1010, 23953, 1010, 1058, 1012, 2142, 2163, 1997, 2637, 1010, 13474, 1012, 2053, 1012, 3938, 1011, 26226, 1011, 5824, 2549, 2050, 1012, 2142, 2163, 2212, 2457, 1010, 1059, 1012, 1040, 1012, 2047, 2259, 1012, 2244, 2459, 1010, 2826, 1012, 1008, 13029, 8856, 2022, 22381, 3490, 1010, 29124, 1010, 13558, 5172, 1010, 10945, 1010, 6574, 2015, 1004, 29461, 19510, 2102, 1010, 7473, 1010, 10541, 1010, 1050, 1012, 1061, 1012, 1010, 2005, 23953, 1012, 7112, 1041, 1012, 5624, 1010, 1057, 1012, 1055, 1012, 29466, 1012, 1997, 3425, 1010, 4171, 4487, 2615, 1012, 1010, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 2005, 13474, 1012, 2344, 8115, 5400, 1010, 2212, 3648, 1012, 2023, 2457, 1010, 2383, 5362, 8182, 14351, 3648, 8594, 1041, 1012, 17752, 2386, 1005, 1055, 3189, 1998, 12832, 1997, 2257, 2410, 1010, 2826, 1010, 2004, 2092, 2004, 1996, 16418, 2015, 1998, 4475, 7864, 2011, 2119, 4243, 1025, 1998, 2053, 17304, 2383, 2042, 23259, 6406, 2000, 1996, 1008, 11899, 14351, 3648, 1005, 1055, 3189, 1999, 1996, 2682, 1011, 14408, 19798, 3043, 1010, 2009, 2003, 2182, 3762, 3641, 1010, 2008, 27081, 2000, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 6191, 2575, 1006, 1038, 1007, 1006, 1015, 1007, 1010, 1996, 14351, 3648, 1005, 1055, 3189, 1998, 12832, 2003, 3970, 1999, 2049, 15700, 1012, 2009, 2003, 2582, 3641, 2008, 1996, 2231, 1005, 1055, 4367, 2005, 12654, 8689, 2003, 4379, 1012, 2582, 1010, 2008, 1996, 7805, 1997, 1996, 2457, 2003, 2856, 2000, 4607, 2345, 8689, 1999, 5684, 1997, 1996, 2231, 1998, 2114, 1996, 20579, 1012, 2009, 2003, 2061, 3641, 1012, 3189, 1998, 12832, 17752, 2386, 1010, 2142, 2163, 14351, 3648, 1012, 1999, 2023, 2553, 1010, 23953, 6148, 2000, 9765, 7361, 1996, 2231, 2013, 9334, 7773, 2029, 2024, 4914, 2135, 2349, 1010, 9177, 2008, 2027, 13538, 2006, 1996, 9413, 20793, 3560, 6040, 1997, 2019, 25760, 7904, 1012, 2005, 1996, 4436, 2275, 5743, 2917, 1010, 2009, 2003, 6749, 2008, 12654, 8689, 2022, 4379, 2000, 1996, 2231, 1012, 2023, 3043, 2001, 3615, 2000, 1996, 2104, 5332, 19225, 2011, 1996, 10189, 1012, 2957, 1046, 1012, 8115, 5400, 2000, 2963, 1998, 3189, 2006, 13474, 1005, 1055, 4367, 2005, 12654, 8689, 1010, 27081, 2000, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 6191, 2575, 1006, 1038, 1007, 1006, 1015, 1007, 1006, 1038, 1007, 1012, 1996, 2206, 17367, 1996, 2104, 5332, 19225, 1005, 1055, 3818, 9556, 1998, 11433, 2005, 1996, 22137, 1997, 1996, 4367, 1012, 8866, 1999, 10388, 2007, 2334, 3627, 2423, 1010, 1996, 2231, 6406, 1037, 4861, 1997, 6151, 2483, 29462, 8866, 2004, 2112, 1997, 2049, 4367, 2005, 12654, 8689, 1012, 23953, 1010, 2174, 1010, 3478, 2000, 14037, 2007, 2334, 3627, 2423, 1012, 2144, 23953, 2031, 2025, 9530, 13181, 26686, 13474, 1005, 1055, 4861, 1010, 1996, 3430, 8866, 2275, 5743, 1999, 2008, 4861, 2024, 8357, 4914, 2005, 5682, 1997, 2023, 4367, 1012, 3627, 2423, 1010, 2334, 3513, 1997, 1996, 2530, 2212, 1997, 2047, 2259, 1012, 2023, 4848, 2001, 6406, 2104, 1073, 6356, 19317, 1997, 1996, 4722, 6599, 3642, 2000, 8980, 3318, 7773, 1998, 3037, 6884, 2000, 2022, 29411, 5067, 2011, 1996, 25760, 2005, 1996, 4171, 2086, 3301, 2083, 3196, 1012, 20579, 6425, 1046, 1012, 9261, 1010, 3781, 1012, 2003, 2019, 4905, 1010, 1998, 20579, 10360, 1039, 1012, 9261, 2003, 2010, 2564, 1012, 1999, 2037, 2434, 2433, 9645, 2692, 2005, 4171, 2095, 3150, 1010, 23953, 3555, 1037, 3279, 1997, 1002, 2676, 1010, 24030, 2005, 2019, 5211, 1999, 1037, 5386, 2124, 2004, 1000, 10171, 2940, 9228, 1000, 1006, 1000, 1048, 3270, 1000, 1007, 1012, 1996, 23953, 3555, 1037, 2139, 16256, 1997, 1002, 2382, 1010, 14989, 1999, 3245, 2005, 2023, 5386, 1010, 1998, 1997, 1002, 4720, 1010, 3156, 1999, 3301, 2005, 2178, 5386, 3279, 1012, 1996, 4722, 6599, 2326, 3525, 15727, 2098, 2122, 5651, 1010, 2004, 2092, 2004, 1996, 5651, 2005, 3261, 1998, 3196, 1012, 2006, 2258, 1020, 1010, 3118, 1010, 1996, 9261, 1005, 2363, 1037, 15201, 5060, 1997, 18888, 2005, 1996, 2095, 3150, 1010, 5517, 2008, 23953, 12232, 2019, 3623, 1997, 4171, 2005, 2008, 2095, 1999, 1996, 3815, 1997, 1002, 2184, 1010, 5345, 2509, 1012, 2023, 5060, 1997, 18888, 2001, 2241, 3952, 2588, 1996, 2440, 4487, 12002, 8261, 6651, 1997, 1996, 3279, 23953, 2018, 3555, 2005, 1048, 3270, 1006, 18079, 1005, 1056, 4654, 1012, 1037, 1010, 4987, 2000, 13474, 1005, 1055, 20336, 1999, 2490, 1997, 4367, 2005, 12654, 8689, 1010, 8875, 1023, 1007, 1012, 23953, 2059, 22527, 1996, 2142, 2163, 4171, 2457, 2005, 1037, 2417, 15141, 22311, 3508, 1997, 2023, 18888, 1010, 6815, 2008, 1996, 25760, 4487, 12002, 8261, 6651, 1997, 2037, 1002, 2676, 1010, 24030, 2139, 16256, 8800, 2000, 1048, 3270, 2001, 9413, 20793, 3560, 1012, 2006, 2255, 2861, 1010, 3118, 1010, 2023, 9964, 2001, 7219, 2004, 4895, 7292, 2135, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 2015, 1012, 1038, 1004, 1039, 1007, 1012, 2006, 2089, 2184, 1010, 3106, 1010, 1996, 25760, 14155, 1996, 1002, 2184, 1010, 5345, 2509, 4171, 18888, 1006, 4606, 3037, 1007, 2114, 1996, 23953, 2005, 3150, 1012, 23953, 2059, 6406, 1037, 2433, 9645, 2692, 2595, 1010, 13266, 1057, 1012, 1055, 1012, 3265, 3318, 4171, 2709, 2005, 3150, 1010, 16726, 2027, 3555, 2008, 2037, 4171, 7667, 1997, 1002, 2184, 1010, 5345, 2509, 2323, 2022, 4359, 2000, 1002, 1022, 1010, 4090, 2581, 1010, 5052, 21447, 2011, 1996, 25760, 1997, 1037, 2139, 16256, 2005, 23953, 1005, 2041, 1011, 1997, 1011, 4979, 22697, 2005, 1996, 5386, 1010, 2004, 2092, 2004, 1037, 2139, 16256, 2005, 1002, 6163, 2475, 2005, 3318, 2029, 2001, 2357, 2058, 2000, 2720, 1012, 9261, 1005, 2375, 3813, 1006, 2059, 20066, 2545, 2669, 1004, 2154, 1007, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1040, 1007, 1012, 2429, 2000, 2023, 2433, 9645, 2692, 2595, 1010, 23953, 2145, 12232, 2019, 3176, 1002, 1019, 1010, 21611, 1012, 2023, 2709, 2001, 5642, 2011, 1037, 3104, 3661, 2013, 20579, 6425, 9261, 1010, 2029, 3090, 1024, 2044, 2017, 2031, 2018, 2019, 4495, 2000, 11628, 1031, 1996, 13266, 2709, 1033, 1010, 1045, 3404, 2008, 2017, 2097, 2830, 1037, 8001, 3021, 1010, 2164, 1996, 12554, 1997, 3037, 12232, 1012, 8909, 1012, 1999, 1996, 12507, 1010, 1996, 25760, 2211, 2000, 11628, 23953, 1005, 3301, 1010, 3245, 1010, 3261, 1998, 3196, 1008, 14378, 5651, 2004, 2092, 1012, 2776, 1010, 2035, 2274, 2086, 2020, 2641, 2362, 1012, 2006, 2244, 2656, 1010, 3106, 1010, 23953, 3970, 2019, 3749, 2011, 1996, 25760, 2000, 7392, 2037, 3150, 2553, 2005, 21447, 1997, 1037, 2139, 16256, 1999, 1996, 3815, 1997, 2037, 2041, 1011, 1997, 1011, 4979, 11727, 1997, 1002, 1021, 1010, 3156, 8800, 2000, 1048, 3270, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1041, 1007, 1012, 23953, 2036, 3970, 1996, 25760, 3749, 2000, 7392, 2037, 3245, 4171, 2553, 2005, 2019, 21447, 1997, 1037, 1002, 2184, 1010, 2199, 2139, 16256, 2005, 2041, 1011, 1997, 1011, 4979, 11727, 1012, 2006, 2255, 2324, 1010, 3106, 1010, 1996, 25760, 2741, 1996, 23953, 1037, 3661, 21672, 2068, 2008, 2037, 4366, 2005, 7704, 19557, 18532, 4765, 1997, 2037, 3150, 3318, 4171, 14000, 2018, 2042, 3039, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1042, 1007, 1012, 10837, 2007, 2023, 2255, 2324, 1010, 3106, 3661, 2001, 1037, 2433, 5774, 1011, 1038, 1010, 3189, 1997, 3265, 3318, 4171, 7749, 3431, 1010, 10842, 21447, 1997, 1037, 2139, 16256, 2005, 23953, 1005, 2041, 1011, 1997, 1011, 4979, 5211, 1997, 1002, 1021, 1010, 3156, 2000, 1048, 3270, 1998, 1002, 6163, 2509, 2005, 2512, 1011, 6107, 9430, 1006, 8909, 1012, 1010, 4654, 1012, 1042, 1010, 1052, 1012, 1016, 1007, 1012, 1996, 2255, 2324, 1010, 3106, 3661, 4415, 3090, 1024, 1037, 7704, 19557, 18532, 4765, 2003, 3491, 2006, 1996, 3189, 10837, 1012, 1996, 3588, 5703, 2003, 2349, 1998, 3477, 3085, 3202, 1012, 1006, 8909, 1012, 1010, 4654, 1012, 1042, 1010, 1052, 1012, 1015, 1007, 1012, 2006, 1996, 2279, 3931, 1010, 1996, 22334, 7123, 3090, 2008, 1996, 7667, 2005, 3150, 2052, 2022, 4359, 2011, 1002, 1018, 1010, 5139, 2549, 2004, 1037, 2765, 1997, 1996, 19037, 1010, 2021, 2006, 2178, 2240, 2009, 29411, 3090, 2008, 2045, 2018, 2042, 1037, 1002, 1018, 1010, 5139, 2549, 1000, 2058, 4502, 25219, 3372, 1012, 1000, 2009, 2003, 2023, 9413, 20793, 3560, 4861, 1010, 2081, 2093, 3134, 2044, 1996, 4093, 2001, 3530, 2588, 1010, 2008, 23953, 11160, 2588, 2005, 2037, 4366, 2008, 2035, 1997, 1996, 14000, 17707, 2013, 1996, 4093, 2323, 2022, 19557, 3064, 1012, 2006, 2281, 1015, 1010, 3106, 1010, 23953, 2772, 2433, 3938, 2575, 1010, 1000, 5494, 3820, 2006, 2345, 9128, 5266, 3563, 5609, 1010, 1000, 2029, 2001, 3525, 2772, 2011, 1996, 25760, 2006, 2285, 1020, 1010, 3106, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1043, 1007, 1012, 1999, 2008, 3820, 1010, 1996, 23953, 2020, 3039, 1037, 2139, 16256, 2005, 2041, 1011, 1997, 1011, 4979, 11727, 1999, 1996, 3815, 1997, 1002, 1021, 1010, 3156, 2005, 10518, 1999, 1048, 3270, 2005, 3150, 1998, 1002, 2184, 1010, 2199, 2005, 3245, 1012, 23953, 2036, 6472, 1037, 5494, 3820, 2005, 3301, 16726, 2027, 2020, 3039, 2041, 1011, 1997, 1011, 4979, 11727, 1997, 1002, 2321, 1010, 2199, 8800, 2000, 1996, 5386, 1999, 2008, 2095, 1010, 2004, 2092, 2004, 5494, 10540, 2005, 3261, 1998, 3196, 1012, 23953, 2036, 6472, 1998, 7864, 1996, 7749, 4311, 2005, 3301, 2083, 3196, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 2015, 1012, 1045, 1011, 1049, 1007, 1012, 23953, 27481, 1010, 1998, 1996, 2231, 2515, 2025, 7593, 1010, 2008, 2027, 2020, 12064, 2135, 9449, 2011, 1996, 25760, 4005, 4137, 2000, 2037, 2553, 2008, 1996, 2561, 3465, 1997, 1996, 4093, 1010, 2164, 3037, 1010, 2052, 2022, 1002, 2676, 1010, 2199, 1012, 1031, 1015, 1033, 1999, 2755, 1010, 2012, 8700, 6685, 1010, 1996, 2231, 25729, 2005, 5682, 1997, 2023, 4367, 2008, 1996, 25760, 7904, 2012, 2070, 2391, 9449, 1996, 26457, 8700, 2135, 2008, 1996, 2561, 3815, 12232, 2052, 2022, 1002, 2676, 1010, 2199, 2005, 2035, 2274, 2086, 1012, 23953, 3825, 1996, 1002, 2676, 1010, 2199, 1010, 8929, 2008, 2023, 2052, 10663, 1996, 3043, 4498, 1012, 1999, 2251, 1997, 3069, 1010, 1996, 25760, 2741, 23953, 1037, 3021, 2005, 2019, 3176, 1002, 2260, 1010, 4805, 2629, 2005, 3150, 1012, 2023, 3815, 2001, 2241, 2006, 1996, 2434, 7667, 1997, 1002, 2184, 1010, 5345, 2509, 1010, 4606, 3037, 1010, 2625, 1996, 19557, 18532, 4765, 1997, 1002, 1018, 1010, 5139, 2549, 1998, 7978, 19557, 3064, 3037, 1012, 2006, 2244, 2423, 1010, 3069, 1010, 23953, 6406, 1037, 2117, 2433, 9645, 2692, 2595, 1010, 13266, 1057, 1012, 1055, 1012, 3265, 3318, 4171, 2709, 1010, 2005, 1996, 2086, 3301, 2083, 3196, 1010, 2029, 3090, 1999, 2566, 10196, 3372, 2112, 2004, 4076, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1044, 1007, 1024, 2012, 1996, 2051, 1996, 9261, 3876, 2037, 2553, 1010, 2027, 7303, 2013, 1996, 2326, 1037, 17208, 1997, 1996, 4171, 1998, 3037, 2349, 2005, 2035, 2274, 2086, 1010, 2029, 2001, 3155, 1002, 2676, 1010, 2199, 1010, 1998, 3825, 2023, 3815, 3188, 2000, 1996, 2203, 1997, 3106, 1012, 1999, 3069, 1010, 1996, 9261, 2020, 11925, 2011, 2023, 2326, 7175, 3176, 8310, 9382, 12232, 2005, 3150, 1010, 3261, 1998, 3196, 1012, 2027, 2018, 3825, 1996, 3176, 8310, 2005, 3261, 1998, 3196, 1012, 1996, 3815, 9382, 12232, 2005, 3150, 2003, 1999, 23873, 1012, 1996, 8310, 9382, 12232, 2005, 3150, 1010, 3261, 1998, 3196, 2024, 1999, 9987, 1997, 2216, 8310, 2029, 1996, 9261, 2020, 2409, 2052, 2022, 12232, 2043, 2027, 3876, 1996, 2553, 1012, 1996, 6835, 5860, 2890, 9739, 5666, 2003, 2028, 2029, 2001, 2580, 2011, 1996, 2326, 1012, 1996, 6254, 2029, 1996, 9261, 2772, 2005, 3150, 3065, 2008, 2019, 2058, 4502, 25219, 3372, 2003, 2349, 2068, 1999, 1996, 3815, 1997, 1002, 1018, 1010, 5139, 2549, 1012, 1996, 2326, 2085, 2035, 24746, 2015, 2008, 2019, 3815, 1999, 9987, 1997, 1002, 2260, 1010, 2199, 2003, 1999, 2755, 12232, 2005, 2008, 2095, 1012, 1008, 7558, 2023, 2001, 2025, 1996, 4861, 2081, 2011, 1996, 2326, 2000, 1996, 9261, 2012, 1996, 2051, 2008, 2027, 3876, 1012, 2612, 1010, 2027, 2020, 9449, 2011, 1996, 2326, 2008, 1996, 5658, 24081, 2052, 2765, 1999, 2019, 2058, 4502, 25219, 3372, 1999, 3150, 1997, 1002, 1018, 1010, 5139, 2549, 1010, 2004, 2003, 7686, 1999, 1996, 4987, 3189, 6052, 2184, 1013, 2459, 1013, 5594, 1012, 6594, 23953, 2085, 4366, 2008, 2027, 2020, 10572, 2000, 4607, 2046, 5494, 10540, 2007, 1996, 4722, 6599, 2326, 2005, 1996, 2086, 3301, 2083, 3196, 2241, 2006, 28616, 2890, 28994, 19304, 2015, 2011, 1996, 25760, 2004, 2000, 1996, 2561, 3815, 2349, 2104, 1996, 4093, 3820, 2007, 4847, 2000, 1996, 2086 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1026, 1029, 20950, 2544, 1027, 1000, 1015, 1012, 1014, 1000, 17181, 1027, 1000, 21183, 2546, 1011, 1022, 1000, 1029, 1028, 1026, 8278, 1028, 1026, 999, 1011, 1011, 8278, 1011, 5942, 14181, 2243, 1009, 1016, 1012, 2260, 1011, 1011, 1028, 1026, 999, 1011, 1011, 8278, 1011, 5942, 11382, 9148, 9148, 28682, 1014, 1012, 1014, 1011, 1011, 1028, 1026, 999, 1011, 1011, 8278, 1011, 10324, 1011, 3343, 2327, 20414, 2884, 1011, 6123, 8787, 1011, 1011, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 2243, 11101, 5004, 1000, 8909, 1027, 1000, 5733, 18319, 3070, 6924, 15660, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 12398, 1035, 9381, 1000, 1028, 17422, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 12398, 1035, 4578, 1000, 1028, 5539, 1026, 1013, 3200, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 25509, 3085, 1000, 8909, 1027, 1000, 2795, 2487, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3675, 1035, 9381, 1000, 1028, 1020, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1050, 1035, 10281, 1000, 1028, 1019, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1050, 1035, 7753, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 5930, 1035, 12403, 6129, 1000, 1028, 1020, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 5216, 1035, 12403, 6129, 1000, 1028, 1020, 1026, 1013, 3200, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2629, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 5080, 2828, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 28613, 16206, 3672, 1000, 8909, 1027, 1000, 12139, 2487, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 10023, 3366, 28689, 4263, 1000, 8909, 1027, 1000, 26236, 13699, 25879, 2953, 2487, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 1013, 2775, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2575, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 4435, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2581, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 3417, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 2828, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 20014, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 2828, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 4435, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 2358, 2099, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 4435, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 5080, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 2358, 2099, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 5080, 1035, 2171, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 10790, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2620, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 2944, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2683, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 3677, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 2944, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 2358, 2099, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 2944, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 10061, 1024, 1064, 2057, 2817, 2972, 4972, 3005, 5717, 2015, 1998, 2028, 1011, 2685, 4682, 2006, 5664, 10713, 3001, 1997, 9938, 1012, 2236, 9259, 2006, 2122, 9938, 2024, 4663, 1012, 1999, 3327, 1010, 2057, 2265, 2008, 1996, 5717, 2015, 1998, 2028, 1011, 2685, 2064, 4682, 2006, 2048, 2367, 3210, 2069, 2005, 17718, 23671, 28175, 1998, 27258, 4972, 1012, 2512, 1011, 20610, 4973, 1997, 2972, 4972, 2007, 5717, 2015, 1998, 2028, 1011, 2685, 2006, 2367, 9938, 2024, 3833, 1010, 2478, 1996, 18716, 9575, 2005, 2117, 2344, 7399, 11658, 11380, 1012, 23794, 2230, 1024, 2382, 2094, 11387, 1010, 2382, 2094, 19481, 1010, 4090, 2213, 12740, 1010, 2382, 2094, 2692, 2629, 1012, 3145, 22104, 1024, 2972, 3853, 1010, 15255, 2135, 5500, 3643, 1010, 7399, 2135, 5500, 3643, 1010, 3643, 4353, 1010, 7399, 11658, 8522, 1010, 18716, 9575, 1010, 17435, 28283, 22311, 7666, 1012, 3166, 1024, 1011, 1005, 4787, 15214, 22384, 1010, 16971, 9413, 21382, 16107, 1031, 1034, 1015, 1033, 1002, 1032, 1025, 1002, 1998, 6614, 2080, 7632, 8950, 9126, 2368, 1005, 2516, 1024, 2972, 4972, 2007, 2048, 15255, 2135, 5500, 5300, 1011, 1011, 1011, 4955, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 5717, 2015, 1997, 2019, 2972, 3853, 2064, 2022, 12098, 16313, 19848, 6588, 4137, 1010, 2021, 1999, 2236, 2028, 3685, 23911, 1996, 3653, 9581, 8449, 1997, 2048, 5300, 1031, 1030, 11265, 2615, 1033, 1012, 2144, 2023, 2147, 1997, 11265, 6212, 4115, 2532, 1010, 2536, 4072, 3785, 2029, 1996, 4520, 1997, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 2442, 13225, 2020, 2179, 1025, 2156, 1010, 1041, 1012, 1043, 1012, 1010, 1031, 1030, 11472, 10830, 1025, 1030, 14548, 26006, 5654, 1025, 1030, 20472, 1033, 1012, 4661, 2019, 23807, 3037, 1010, 2122, 3785, 2024, 7882, 2000, 2491, 3399, 1031, 1030, 1038, 2140, 1025, 1030, 2022, 1025, 1030, 1041, 1033, 1012, 1999, 2023, 3259, 2057, 2817, 1996, 21304, 4292, 2043, 1996, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 10713, 2135, 2116, 9938, 1010, 2030, 2024, 2485, 2000, 10713, 2135, 2116, 9938, 1012, 2057, 4088, 2011, 21195, 2070, 4556, 3463, 1012, 1996, 2773, 1523, 4097, 1524, 1999, 2023, 3259, 2097, 2467, 2812, 1037, 4097, 2013, 1996, 4761, 1012, 2005, 2019, 2972, 3853, 1002, 1042, 1002, 1010, 2057, 2360, 2008, 1037, 3643, 1002, 1037, 1002, 2003, 1031, 1008, 15255, 2135, 5500, 1008, 1033, 1063, 1065, 2065, 1996, 2275, 1002, 1042, 1034, 1063, 1011, 1015, 1065, 1006, 1037, 1007, 1002, 2003, 4838, 1999, 1996, 2586, 1997, 10713, 2135, 2116, 9938, 1012, 1031, 1006, 1037, 1012, 3968, 2890, 2072, 1031, 1030, 3968, 2099, 1033, 1007, 1033, 1063, 1065, 6814, 2008, 2035, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 2024, 5500, 2006, 1037, 10713, 2275, 1997, 9938, 1010, 1998, 2292, 1002, 1032, 14827, 1002, 2022, 1996, 10479, 6466, 2090, 2122, 9938, 1012, 2059, 1996, 2344, 1997, 1002, 1042, 1002, 2003, 2012, 2087, 1002, 1032, 14255, 1013, 1032, 14827, 1002, 1012, 1031, 1006, 1045, 1012, 1050, 1012, 6243, 1031, 1030, 8670, 1033, 1010, 1056, 1012, 28930, 1031, 1030, 12849, 2497, 1033, 1007, 1033, 1063, 1065, 6814, 2008, 2035, 5717, 2015, 1997, 1037, 9099, 23865, 21050, 2972, 3853, 1002, 1042, 1002, 4682, 2006, 1037, 2240, 1002, 1048, 1035, 1015, 1002, 1998, 2035, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1037, 2367, 2240, 1002, 1048, 1035, 1016, 1002, 5903, 2000, 1002, 1048, 1035, 1015, 1002, 1012, 2059, 1002, 1042, 1006, 1062, 1007, 1027, 1052, 1006, 1041, 1034, 1063, 17207, 1065, 1007, 1002, 2007, 2070, 1002, 1037, 1032, 1999, 1032, 1039, 1002, 1998, 1037, 17505, 1002, 1052, 1002, 1012, 2057, 13711, 1996, 9872, 1997, 6243, 1998, 28930, 2007, 1996, 2206, 2765, 1012, 1032, 1031, 16215, 2213, 2487, 1032, 1033, 6814, 2008, 2035, 5717, 2015, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 4682, 2006, 1037, 2240, 1002, 1048, 1035, 1015, 1002, 1998, 2035, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1037, 2367, 2240, 1002, 1048, 1035, 1016, 1002, 27294, 1002, 1048, 1035, 1015, 1002, 1012, 2059, 1002, 1042, 1002, 2003, 2593, 1997, 1996, 2433, 1002, 1042, 1006, 1062, 1007, 1027, 1041, 1034, 1063, 17207, 1009, 1038, 1065, 1002, 2030, 1002, 1042, 1006, 1062, 1007, 1027, 1015, 1011, 1041, 1034, 1063, 17207, 1009, 1038, 1065, 1002, 1010, 2030, 1037, 17505, 1997, 3014, 2012, 2087, 1002, 1016, 1002, 1012, 2004, 1037, 2522, 28402, 5649, 2057, 6855, 2008, 2065, 1996, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 4682, 2006, 2048, 5664, 9938, 1010, 2059, 1002, 1042, 1002, 2003, 1037, 17505, 1997, 3014, 2012, 2087, 1002, 1016, 1002, 1012, 2009, 2003, 9487, 2008, 2045, 2024, 2512, 1011, 20610, 4973, 1997, 2972, 4972, 3005, 5717, 2015, 4682, 2006, 1996, 3893, 4097, 1998, 2035, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 2048, 9938, 2008, 2024, 2025, 4838, 1999, 1996, 2613, 2240, 1012, 1032, 1031, 16215, 2213, 2475, 1032, 1033, 2005, 2296, 16109, 1002, 1049, 1032, 16216, 4160, 1017, 1002, 1010, 2045, 6526, 2019, 2972, 3853, 1002, 1042, 1002, 1997, 2344, 1002, 1015, 1013, 1016, 1009, 1015, 1013, 1049, 1002, 3005, 5717, 2015, 2024, 3893, 1998, 3005, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1996, 2048, 9938, 1002, 1032, 2187, 1032, 1063, 1062, 1032, 16844, 1032, 12098, 2290, 1062, 1027, 1032, 7610, 1016, 1032, 14255, 1013, 1006, 1049, 1009, 1016, 1007, 1032, 2157, 1032, 1065, 1002, 1012, 9872, 1032, 1031, 16215, 2213, 2487, 1032, 1033, 12748, 2008, 2107, 4972, 2079, 2025, 4839, 2005, 1002, 1049, 1027, 1016, 1002, 1012, 2635, 1002, 1042, 1006, 1062, 1034, 1050, 1007, 1002, 2057, 6855, 2019, 2972, 3853, 3005, 5717, 2015, 4682, 2006, 1002, 1050, 1002, 9938, 1998, 3005, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1002, 1016, 2078, 1002, 9938, 5664, 2013, 2216, 9938, 2073, 1996, 5717, 2015, 4682, 1012, 2085, 2057, 9483, 1996, 4650, 2008, 1996, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 2024, 15255, 2135, 5500, 1012, 2057, 2224, 1996, 3115, 14869, 1997, 1996, 3399, 1997, 2972, 1998, 21442, 28503, 4972, 1031, 1030, 2175, 1033, 1012, 2292, 1002, 1002, 1037, 1027, 1032, 2502, 15569, 1035, 1063, 1046, 1027, 1015, 1065, 1034, 1050, 1037, 1035, 1046, 1010, 1032, 17718, 1037, 1035, 1046, 1027, 1032, 1063, 8915, 1034, 1063, 1045, 1032, 6541, 1035, 1046, 1065, 1032, 16844, 1056, 1032, 16216, 4160, 1014, 1032, 1065, 1010, 1032, 17718, 1014, 1032, 3393, 4160, 1032, 6541, 1035, 1015, 1032, 25510, 12868, 1026, 1032, 6541, 1035, 1050, 1026, 1016, 1032, 14255, 1010, 1002, 1002, 2022, 1037, 10713, 2586, 1997, 9938, 1012, 2005, 1002, 1032, 13075, 13699, 27572, 2239, 1028, 1014, 1002, 2292, 1002, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1002, 2022, 1996, 2586, 1997, 1996, 11105, 1002, 1002, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1027, 1032, 2502, 15569, 1035, 1063, 1046, 1027, 1015, 1065, 1034, 1050, 1032, 1063, 1062, 1032, 16844, 1064, 1032, 12098, 2290, 1062, 1011, 1032, 6541, 1035, 1046, 1064, 1026, 1032, 13075, 13699, 27572, 2239, 1032, 1065, 1012, 1002, 1002, 2057, 2360, 2008, 1996, 1002, 1037, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 2024, 1031, 1008, 2485, 1008, 1033, 1063, 1065, 2000, 1996, 2275, 1002, 1037, 1002, 2065, 1010, 2005, 2296, 1002, 1032, 13075, 13699, 27572, 2239, 1028, 1014, 1002, 1010, 2057, 2031, 1002, 1002, 1050, 1006, 1054, 1010, 1032, 1039, 1032, 10457, 27067, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1010, 1037, 1010, 1042, 1007, 1027, 1051, 1006, 1032, 8833, 1049, 1006, 1054, 1007, 1007, 1010, 1032, 17718, 1054, 1032, 2000, 1032, 1999, 6199, 2100, 1010, 1002, 1002, 2073, 1996, 2187, 2192, 2217, 2003, 1996, 2193, 1997, 1002, 1037, 1002, 1011, 2685, 1999, 1002, 1032, 1063, 1062, 1032, 1999, 1032, 1039, 1032, 10457, 27067, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1032, 16844, 1064, 1062, 1064, 1032, 3393, 4160, 1054, 1032, 1065, 1002, 1998, 1002, 1049, 1006, 1054, 1007, 1027, 1032, 4098, 1032, 1063, 1064, 1042, 1006, 1062, 1007, 1064, 1032, 16844, 1064, 1062, 1064, 1032, 3393, 4160, 1054, 1032, 1065, 1002, 1012, 2256, 2279, 2765, 5936, 1996, 3663, 2043, 1996, 5717, 2015, 2024, 2485, 2000, 1037, 10713, 2586, 1997, 9938, 1002, 1037, 1002, 1998, 1996, 1002, 1015, 1002, 1011, 2685, 2024, 2485, 2000, 1037, 10713, 2586, 1997, 9938, 1002, 1038, 1002, 1010, 2073, 1996, 4520, 1002, 1037, 1002, 1998, 1002, 1038, 1002, 2024, 4487, 2015, 5558, 18447, 1010, 4237, 2013, 1996, 4761, 1012, 2057, 2097, 7868, 2008, 1996, 2291, 1997, 9938, 1002, 1037, 1032, 2452, 1038, 1002, 2003, 1031, 1008, 10124, 1008, 1033, 1063, 1065, 2003, 1996, 3168, 2008, 2005, 2296, 4097, 1002, 1032, 1063, 1056, 1041, 1034, 1063, 1045, 1032, 6541, 1065, 1032, 16844, 1056, 1032, 16216, 4160, 2692, 1032, 1065, 1032, 16745, 1037, 1032, 2452, 1038, 1002, 2045, 2003, 1037, 5537, 1002, 1006, 1062, 1035, 1047, 1007, 1002, 25069, 2000, 1002, 1032, 1999, 6199, 2100, 1002, 2107, 2008, 1002, 1042, 1006, 1062, 1035, 1047, 1007, 1032, 1999, 1032, 1063, 1014, 1010, 1015, 1032, 1065, 1002, 2005, 2035, 1002, 1047, 1002, 1998, 1002, 1032, 12098, 2290, 1062, 1035, 1047, 1032, 2000, 1032, 6541, 1002, 2004, 1002, 1047, 1032, 2000, 1032, 1999, 6199, 2100, 1002, 1012, 1032, 1031, 16215, 2213, 2509, 1032, 1033, 2292, 1002, 1042, 1002, 2022, 1037, 9099, 23865, 21050, 2972, 3853, 1997, 2344, 1002, 1032, 1054, 6806, 1026, 1032, 1999, 6199, 2100, 1002, 3005, 5717, 2015, 2024, 2485, 2000, 1002, 1037, 1002, 1998, 3005, 1002, 1015, 1002, 1011, 2685, 2024, 2485, 2000, 1002, 1038, 1002, 1010, 2007, 1002, 1037, 1032, 6178, 1038, 1027, 1032, 1063, 1014, 1032, 1065, 1002, 1012, 6814, 2008, 1996, 2291, 1002, 1037, 1032, 2452, 1038, 1002, 2003, 10124, 1012, 2059, 1002, 1002, 1032, 3830, 1063, 14255, 8462, 3654, 1065, 1032, 1054, 6806, 1027, 1032, 25312, 2278, 1063, 1032, 14255, 1065, 1063, 1032, 14827, 1065, 1028, 1032, 25312, 2278, 12521, 1010, 1002, 1002, 2073, 1002, 1032, 14827, 1002, 2003, 1996, 1031, 1008, 2922, 1008, 1033, 1063, 1065, 6466, 2090, 5516, 9938, 1999, 1002, 1037, 1032, 2452, 1038, 1002, 1010, 1998, 2045, 6526, 1037, 2291, 1997, 9938, 1002, 1039, 1027, 1032, 2502, 15569, 1035, 1063, 1046, 1027, 1015, 1065, 1034, 1063, 1016, 2213, 1065, 1039, 1035, 1046, 1032, 16745, 1037, 1032, 2452, 1038, 1002, 1010, 2007, 1002, 1049, 1032, 16216, 4160, 1015, 1002, 1010, 13571, 2075, 1996, 4946, 2046, 1002, 1016, 2213, 1002, 11105, 1002, 1055, 1035, 1046, 1002, 2107, 2008, 1002, 1032, 7704, 1055, 1035, 1046, 1027, 1039, 1035, 1046, 1032, 2452, 1039, 1035, 1063, 1046, 1009, 1015, 1065, 1002, 2005, 1002, 1015, 1032, 3393, 4160, 1046, 1032, 3393, 4160, 1016, 2213, 1011, 1015, 1002, 1998, 1002, 1032, 7704, 1055, 1035, 1063, 1016, 2213, 1065, 1027, 1039, 1035, 1063, 1016, 2213, 1065, 1032, 2452, 1039, 1035, 1015, 1002, 1010, 2007, 1996, 2206, 5144, 1024, 1002, 1006, 1045, 1007, 1002, 1996, 6466, 1997, 1002, 1055, 1035, 1046, 1002, 2012, 1002, 1014, 1002, 2003, 1002, 1032, 14255, 1013, 1032, 1054, 6806, 1002, 2043, 1002, 1046, 1002, 2003, 2130, 1010, 1998, 2012, 2087, 1002, 1032, 14255, 1013, 1032, 1054, 6806, 1002, 2043, 1002, 1046, 1002, 2003, 5976, 1012, 1002, 1006, 2462, 1007, 1002, 2119, 6192, 9938, 1997, 2019, 5976, 4753, 7141, 2000, 1996, 2168, 2275, 1010, 1002, 1037, 1002, 2030, 1002, 1038, 1002, 1012, 1002, 1006, 3523, 1007, 1002, 2045, 2024, 2053, 9938, 1997, 1002, 1037, 1032, 2452, 1038, 1002, 2503, 1996, 2130, 11105, 1012, 1002, 1006, 4921, 1007, 1002, 2065, 2045, 2024, 9938, 1997, 1002, 1037, 1002, 2503, 2019, 5976, 4753, 1010, 2059, 1996, 6192, 9938, 1997, 2023, 4753, 7141, 2000, 1002, 1038, 1002, 1012, 2065, 2045, 2024, 9938, 1997, 1002, 1038, 1002, 2503, 2019, 5976, 4753, 1010, 2059, 1996, 6192, 9938, 1997, 2023, 4753, 7141, 2000, 1002, 1037, 1002, 1012, 1002, 1006, 1058, 1007, 1002, 2065, 2045, 2024, 2053, 9938, 1997, 1002, 1037, 1032, 2452, 1038, 1002, 1999, 2019, 5976, 4753, 1010, 2059, 2049, 3098, 6466, 2003, 1002, 1032, 14255, 1013, 1032, 1054, 6806, 1002, 1012, 1996, 2279, 2765, 1516, 3005, 6947, 2057, 2097, 2069, 11080, 1516, 3065, 2008, 9872, 1032, 1031, 16215, 2213, 2509, 1032, 1033, 2003, 2190, 2825, 1012, 1032, 1031, 16215, 2213, 2549, 1032, 1033, 2292, 1002, 1037, 1002, 1998, 1002, 1038, 1002, 2022, 3001, 1997, 9938, 1010, 17087, 3785, 1002, 1006, 1045, 1007, 1002, 1516, 1002, 1006, 1058, 1007, 1002, 1997, 9872, 1002, 1032, 25416, 1063, 16215, 2213, 2509, 1065, 1002, 2005, 2070, 1002, 1032, 1054, 6806, 1032, 1999, 1006, 1014, 1010, 1032, 1999, 6199, 2100, 1007, 1002, 1012, 2059 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4281, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 17626, 1997, 21083, 4953, 1996, 16221, 1011, 11852, 14442, 2005, 12702, 16846, 13348, 2618, 8386, 2003, 2025, 2467, 9398, 2349, 2000, 15982, 3431, 1010, 2164, 7403, 5835, 18278, 2015, 1998, 4748, 4328, 18413, 5397, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1007, 1010, 1998, 4989, 2012, 5799, 4573, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1010, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1007, 1012, 1999, 5688, 2000, 15982, 6194, 1010, 2029, 7461, 1996, 2972, 13458, 1010, 4989, 5748, 2012, 3563, 4573, 3378, 2007, 6887, 16515, 23186, 12955, 1010, 2107, 2004, 2590, 20155, 18275, 8840, 6895, 1006, 1053, 19646, 2015, 1007, 1998, 4018, 9165, 1012, 4989, 3727, 2049, 8085, 1999, 1996, 10381, 21716, 27642, 4655, 4193, 1996, 4573, 1010, 2073, 6022, 4359, 2030, 8319, 3798, 1997, 7403, 8386, 2064, 2022, 5224, 2012, 5799, 8699, 8840, 6895, 1012, 2947, 1010, 4989, 2025, 2069, 13531, 1996, 3479, 4573, 2021, 2036, 5799, 8699, 8840, 6895, 1998, 1996, 24629, 1997, 4989, 3772, 2006, 3563, 8360, 8840, 6895, 2064, 2022, 11156, 2011, 8991, 4140, 22571, 2075, 26572, 18078, 12702, 16846, 13348, 4570, 1999, 1996, 5516, 2512, 1011, 16861, 4655, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 2367, 7778, 4725, 2031, 2042, 2764, 2000, 6709, 2041, 14355, 8840, 6895, 2104, 1996, 3747, 1997, 4989, 1032, 1031, 1031, 1030, 1038, 2575, 1033, 1011, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1998, 17241, 2031, 2042, 4692, 2000, 5335, 1996, 2434, 4725, 1997, 24992, 12162, 2378, 1998, 1047, 16555, 21126, 1032, 1031, 1031, 1030, 29491, 2549, 1033, 1032, 1033, 1010, 2029, 2031, 2042, 6367, 2138, 1997, 2037, 14639, 2000, 2313, 3252, 1998, 2381, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1007, 1012, 6600, 1010, 3522, 2913, 2031, 3491, 5399, 20316, 3463, 4663, 2011, 11243, 1996, 2682, 7778, 5852, 2000, 1996, 2168, 2951, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1010, 1031, 1030, 29491, 2475, 1033, 1010, 1031, 1030, 29491, 2575, 1033, 1010, 1031, 1030, 29491, 2581, 1033, 1032, 1033, 1007, 1012, 1996, 24992, 12162, 2378, 1011, 1047, 16555, 21126, 3231, 1032, 1031, 1031, 1030, 29491, 2549, 1033, 1032, 1033, 2003, 1996, 4587, 1997, 2122, 4800, 4135, 7874, 1011, 7831, 4725, 1012, 13644, 4092, 1010, 2122, 4725, 2024, 5173, 2011, 2478, 2028, 1997, 1996, 2048, 2236, 8107, 6851, 2917, 1012, 1996, 2034, 3921, 2003, 2000, 4503, 4725, 2007, 24992, 12162, 2378, 1998, 1047, 16555, 21126, 2015, 1032, 1005, 2434, 2801, 1998, 2000, 2224, 1996, 4353, 1997, 10035, 1997, 7403, 20582, 19064, 1008, 1042, 1008, 1066, 2358, 1066, 1998, 8906, 11709, 2013, 3265, 7403, 8840, 6895, 2000, 11487, 1996, 3896, 1997, 4989, 1010, 2182, 10354, 3334, 12061, 1996, 1008, 1042, 1008, 1066, 2358, 1066, 1011, 2241, 3921, 1010, 2107, 2004, 1996, 1042, 10521, 2102, 2565, 1011, 2241, 4118, 1032, 1031, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1010, 3016, 25253, 26237, 1032, 1031, 1031, 1030, 29491, 2475, 1033, 1032, 1033, 1010, 1998, 2313, 1011, 3563, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1032, 1033, 4725, 1012, 8040, 7317, 28495, 14544, 1998, 8628, 2031, 3818, 4522, 4800, 4135, 7874, 12504, 1011, 2241, 5852, 2008, 2224, 12654, 6747, 2060, 2084, 1008, 1042, 1008, 1066, 2358, 1066, 1010, 2107, 2004, 1996, 1048, 2078, 27634, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1010, 1996, 1048, 2078, 1054, 2232, 1032, 1031, 1031, 1030, 1038, 2575, 1033, 1032, 1033, 1010, 1998, 1996, 1048, 2078, 1054, 29725, 1032, 1005, 1032, 1031, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 5852, 1012, 2122, 5852, 9125, 6195, 1996, 2801, 1997, 1037, 1032, 1005, 13228, 11740, 1032, 1005, 2008, 18653, 2013, 3019, 1998, 7976, 4989, 1010, 1998, 3522, 7403, 15800, 5533, 2011, 1996, 13228, 11740, 2681, 1037, 2501, 2030, 1032, 1000, 7403, 8085, 1032, 1000, 1999, 1996, 13458, 5266, 1996, 3479, 4573, 1998, 2037, 5799, 8699, 8840, 6895, 1012, 2445, 2008, 12702, 16846, 13348, 2618, 8840, 6895, 3378, 2007, 1037, 3522, 13228, 11740, 11234, 2013, 1996, 6893, 1997, 1996, 13458, 1010, 2027, 2024, 3517, 2000, 2991, 2648, 1996, 4353, 1997, 8699, 10035, 1997, 1048, 2078, 27634, 1010, 1048, 2078, 1054, 2232, 2030, 1048, 2078, 1054, 29725, 1032, 1005, 5300, 1012, 2004, 8182, 2011, 1032, 1031, 1031, 1030, 29491, 2620, 1033, 1011, 1031, 1030, 1038, 11387, 1033, 1032, 1033, 1010, 2035, 1996, 4725, 2031, 4022, 12637, 1998, 4009, 12221, 1010, 2029, 2064, 2022, 2349, 2000, 2367, 10318, 17568, 4953, 1996, 15982, 1998, 16221, 2389, 4275, 2006, 2029, 2027, 2024, 2241, 1010, 2004, 2092, 2004, 2006, 12503, 3378, 2007, 1996, 15873, 2791, 1997, 1996, 8107, 1012, 1996, 3522, 3445, 11343, 1997, 2312, 8991, 22026, 2951, 4520, 1998, 1996, 8720, 1997, 1037, 2261, 9165, 2030, 8840, 6895, 2004, 1996, 7889, 1997, 4968, 3370, 2030, 4745, 7403, 7620, 1999, 7125, 2031, 9100, 1996, 4812, 1997, 1996, 8991, 22026, 3896, 1997, 4989, 1012, 4018, 9165, 1998, 1053, 19646, 2031, 2042, 2649, 2006, 2119, 18411, 27717, 1032, 1031, 1031, 1030, 1038, 17465, 1033, 1011, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 1998, 18411, 2050, 2322, 1032, 1031, 1031, 1030, 1038, 23833, 1033, 1032, 1033, 1012, 2006, 18411, 27717, 1010, 1996, 1008, 8554, 1008, 4962, 1010, 7356, 2011, 2048, 2035, 26741, 1024, 1008, 1052, 1008, 1006, 26847, 1007, 7444, 2058, 1008, 1044, 1008, 1006, 7109, 1007, 1010, 2003, 3625, 2005, 1996, 26847, 1006, 1045, 1012, 1041, 1012, 7109, 3238, 1007, 1998, 7109, 6887, 16515, 13874, 2015, 1999, 7125, 1998, 2038, 2042, 13532, 2000, 2119, 3019, 1998, 7976, 4989, 1012, 10870, 3802, 2632, 1012, 1032, 1031, 1031, 1030, 1038, 17465, 1033, 1032, 1033, 2031, 7645, 7403, 4957, 4270, 2090, 1996, 1008, 8554, 1008, 4962, 1998, 2048, 12702, 16846, 13348, 4570, 1010, 1008, 13938, 18155, 2140, 1011, 1015, 1008, 1998, 1008, 13938, 18155, 2140, 1011, 1016, 1008, 1012, 2122, 8840, 6895, 2024, 19962, 6528, 2594, 2000, 1996, 3811, 19995, 4962, 2005, 3565, 28479, 4487, 6491, 13210, 3366, 1015, 1006, 1008, 2061, 2094, 2487, 1008, 1007, 1012, 1999, 2804, 1010, 1999, 2536, 15910, 1996, 1008, 8554, 1008, 4962, 2038, 2042, 2179, 2000, 2022, 5799, 2000, 1996, 12702, 16846, 13348, 4570, 1008, 1056, 23296, 2050, 26224, 1008, 1010, 1008, 12943, 2721, 16576, 1008, 1010, 1008, 1999, 2527, 17465, 2475, 1008, 1998, 1008, 10556, 2361, 2620, 1008, 1010, 2284, 1999, 1996, 18120, 25531, 2555, 1997, 18411, 27717, 2485, 2000, 1996, 1008, 2061, 2094, 2487, 1008, 25206, 1032, 1031, 1031, 1030, 1038, 19317, 1033, 1010, 1031, 1030, 1038, 21926, 1033, 1010, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 1012, 2000, 3058, 1010, 2006, 18411, 2050, 11387, 2195, 1053, 19646, 1998, 4018, 9165, 2031, 2042, 2988, 1041, 1012, 1043, 1012, 3930, 18714, 1998, 4013, 2721, 6593, 2378, 10769, 9165, 1032, 1031, 1031, 1030, 1038, 22907, 1033, 1032, 1033, 12473, 23758, 3370, 1998, 6501, 2537, 12955, 1010, 2107, 2004, 2303, 5995, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1032, 1033, 1007, 1010, 20904, 4063, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 24594, 1033, 1032, 1033, 1007, 1010, 20904, 4063, 14449, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 14142, 1033, 1032, 1033, 1007, 1010, 6501, 10750, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 21486, 1033, 1032, 1033, 1007, 1010, 6638, 7017, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1032, 1033, 1007, 1010, 1998, 2926, 5250, 4180, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1011, 1031, 1030, 1038, 14142, 1033, 1032, 1033, 1007, 1012, 1999, 2023, 2817, 2006, 1008, 8945, 2015, 19982, 7946, 1008, 1010, 2057, 2556, 12702, 16846, 13348, 2618, 2951, 2478, 1037, 4659, 3469, 2193, 1997, 8840, 6895, 2084, 3130, 2988, 1010, 2029, 3701, 2443, 1996, 2382, 12702, 16846, 13348, 2618, 16387, 6749, 2011, 1996, 2248, 2554, 2005, 4111, 14471, 1006, 18061, 2290, 1007, 1013, 2833, 1998, 5237, 3029, 1997, 1996, 2142, 3741, 1006, 6904, 2080, 1007, 2551, 2177, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1010, 1031, 1030, 1038, 18827, 1033, 1032, 1033, 1025, 2021, 2156, 2036, 1032, 1031, 1031, 1030, 1038, 16703, 1033, 1032, 1033, 1007, 1012, 2426, 1996, 4868, 12702, 16846, 13348, 4570, 8991, 26305, 2094, 2006, 2184, 4387, 7125, 7080, 1997, 2367, 7321, 1006, 3128, 1998, 2715, 3293, 1007, 1998, 7109, 3570, 2229, 1006, 26847, 1998, 26808, 1007, 1999, 1996, 2642, 3700, 1997, 1996, 23399, 26125, 1010, 2698, 2020, 2006, 18411, 27717, 1998, 2385, 2006, 18411, 2050, 11387, 1012, 2057, 4162, 2176, 5852, 2000, 11487, 8382, 16442, 1997, 4989, 1010, 7478, 2013, 5852, 2005, 8840, 6895, 2408, 7080, 1998, 1996, 3728, 3818, 3940, 14244, 2313, 5852, 2478, 1037, 8790, 3973, 10426, 2193, 1997, 5799, 12702, 16846, 13348, 4570, 1032, 1031, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1012, 2057, 4102, 1996, 18700, 1997, 1996, 2367, 21083, 5852, 2800, 2000, 6709, 8840, 6895, 2104, 4989, 1999, 1996, 2167, 23399, 7125, 7080, 10847, 2182, 1012, 4475, 1998, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2313, 8168, 1998, 7403, 16387, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 12702, 16846, 13348, 2618, 2951, 2013, 2184, 2367, 7125, 1006, 1008, 8945, 2015, 19982, 7946, 1008, 1007, 7080, 2164, 4029, 2575, 3633, 2020, 16578, 1012, 6983, 7080, 2020, 3421, 2011, 6983, 1037, 12541, 7430, 1006, 2715, 3293, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2871, 1007, 1010, 6983, 18864, 1011, 22201, 2937, 1006, 2715, 3293, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2871, 1007, 1010, 2789, 9303, 11266, 9286, 1006, 3128, 1010, 3262, 26847, 1010, 1008, 1050, 1008, 1027, 2861, 1007, 1010, 2530, 9303, 11266, 9286, 1006, 3128, 1010, 3262, 26847, 1010, 1008, 1050, 1008, 1027, 4261, 1007, 1010, 1998, 2642, 9303, 11266, 9286, 1006, 3128, 1010, 3262, 26847, 1010, 1008, 1050, 1008, 1027, 2656, 1007, 1012, 2057, 2020, 2583, 2000, 28937, 1996, 21770, 10624, 9096, 3995, 4588, 3570, 2012, 1996, 1008, 8554, 1008, 25206, 1999, 2539, 6887, 16515, 27086, 2135, 26847, 7125, 1997, 1996, 2093, 6983, 3128, 7080, 1010, 2006, 1996, 3978, 1997, 2037, 13195, 1013, 6687, 6887, 16515, 13874, 2015, 1012, 1999, 2804, 1010, 2045, 2020, 2539, 4176, 26808, 1006, 28290, 3512, 24004, 9096, 3995, 4588, 1007, 1999, 1996, 6983, 3128, 7080, 1012, 21541, 20891, 2078, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2871, 1007, 1010, 8038, 5283, 10772, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 4868, 1007, 1010, 1998, 1047, 18884, 22844, 2854, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 3590, 1007, 7125, 2020, 18925, 1999, 3607, 1012, 5969, 4462, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2382, 1007, 1998, 5695, 3933, 1006, 2715, 3293, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 4464, 1007, 2020, 18925, 1999, 5924, 1998, 5842, 1010, 4414, 1012, 2076, 7099, 3074, 1010, 1996, 21877, 4305, 28637, 2592, 1998, 1996, 28822, 2386, 1032, 1005, 1055, 3716, 2020, 2109, 2000, 5676, 1996, 4176, 2020, 15142, 1012, 3176, 2592, 2006, 2122, 7080, 2038, 2042, 2988, 1999, 3025, 5523, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1010, 1031, 1030, 1038, 22394, 1033, 1032, 1033, 1012, 8991, 26305, 2015, 1997, 1996, 4868, 12702, 16846, 13348, 4570, 2020, 2109, 1006, 2005, 4751, 2006, 1996, 12702, 16846, 13348, 4570, 1010, 2156, 1032, 1031, 1031, 1030, 1038, 22394, 1033, 1011, 1031, 1030, 1038, 19481, 1033, 1032, 1033, 1007, 2426, 2029, 2951, 1997, 1996, 2382, 16387, 2013, 1996, 5997, 1997, 8840, 6895, 6749, 2005, 7403, 8906, 2913, 1999, 7125, 1026, 8299, 1024, 1013, 1013, 7479, 1012, 3934, 1012, 20996, 22908, 1012, 9353, 1012, 2866, 1013, 3729, 12848, 1013, 16387, 1012, 16129, 1028, 2020, 2579, 2013, 1996, 3906, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 1996, 2603, 12702, 16846, 13348, 4570, 1006, 2538, 2047, 3924, 1998, 2048, 2013, 1996, 6749, 5997, 1007, 2006, 18411, 27717, 1998, 18411, 2050, 11387, 2020, 4217, 2006, 1996, 3978, 1997, 2037, 9884, 2000, 9165, 1998, 1053, 19646, 1010, 2029, 2071, 2022, 2641, 2004, 4018, 8840, 6895, 2005, 4989, 2138, 1997, 2037, 5071, 6624, 1999, 1996, 26847, 1013, 26808, 6887, 16515, 13874, 1032, 1031, 1031, 1030, 1038, 19317, 1033, 1032, 1033, 1998, 1999 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1019, 1011, 9800, 12740, 1008, 1054, 1008, 1008, 1018, 1009, 14989, 1008, 1054, 1008, 1008, 1017, 1011, 24622, 2683, 11387, 2475, 1008, 1054, 1008, 1008, 1016, 1011, 1021, 1029, 1011, 3438, 1008, 1054, 1008, 1008, 1016, 1011, 24568, 16048, 2692, 1008, 1054, 1009, 6445, 2475, 2424, 1996, 2117, 13819, 1997, 4583, 20842, 24434, 12521, 2581, 1008, 1053, 1008, 1008, 1017, 1009, 11816, 18827, 23499, 2575, 1008, 1053, 1009, 1019, 23277, 2102, 1053, 1012, 24426, 15136, 19317, 2581, 2575, 2475, 1008, 1053, 2424, 1996, 2353, 13819, 1997, 1011, 25797, 22394, 2683, 1008, 1048, 1008, 1008, 1018, 1008, 1054, 1009, 1016, 1008, 1048, 1008, 1008, 1017, 1011, 2184, 1008, 1048, 1008, 1008, 1016, 1008, 1054, 1011, 1016, 1008, 1048, 1008, 1008, 1016, 1009, 23944, 1008, 1048, 1008, 1054, 1009, 1016, 1008, 1048, 1011, 4261, 1008, 1054, 23277, 2102, 1048, 1012, 1011, 3963, 16048, 17134, 2575, 1008, 1048, 1008, 1054, 1009, 2260, 2054, 2003, 1996, 2117, 13819, 1997, 2385, 1008, 1058, 1008, 1008, 1017, 1009, 5764, 23632, 16068, 1008, 1058, 1008, 1008, 1016, 1011, 5388, 17465, 2475, 1008, 1058, 1009, 1023, 23277, 2102, 1058, 1029, 5986, 1008, 1058, 1009, 14078, 2620, 21926, 2692, 2424, 1996, 2117, 13819, 1997, 5354, 22025, 22932, 20958, 1008, 1055, 1008, 1008, 1018, 1011, 29562, 1008, 1055, 1011, 21777, 16048, 23277, 2102, 1055, 1012, 6390, 23833, 17134, 14142, 2549, 1008, 1055, 1008, 1008, 1016, 21032, 1011, 6036, 2575, 1008, 1062, 1008, 1008, 1016, 1011, 16710, 1008, 1062, 1009, 6163, 2620, 2683, 17788, 2475, 1012, 1011, 22343, 2475, 1008, 1062, 1011, 16710, 21032, 5764, 12376, 15136, 1008, 1047, 1008, 1008, 1018, 1008, 1061, 1009, 1019, 1008, 1047, 1008, 1008, 1016, 1008, 1061, 1008, 1008, 1016, 1009, 1047, 1008, 1061, 1009, 6079, 2487, 1008, 1061, 1008, 1008, 1016, 1011, 1016, 1008, 1061, 1009, 14506, 23277, 2102, 1047, 1012, 25162, 8889, 2581, 2475, 1008, 1047, 1008, 1008, 1017, 1008, 1061, 1009, 2184, 1008, 1047, 1008, 1061, 1008, 1008, 1016, 1009, 1061, 2054, 2003, 1996, 2034, 13819, 1997, 14168, 2683, 24087, 2620, 19481, 1008, 1039, 1011, 14078, 18139, 2620, 19317, 2475, 23277, 2102, 1039, 1029, 14168, 2683, 24087, 2620, 19481, 2054, 2003, 1996, 2117, 13819, 1997, 19711, 17914, 1008, 1062, 1008, 1008, 1018, 1011, 3963, 2581, 2620, 1008, 1062, 1008, 1008, 1016, 1009, 5764, 21472, 2620, 21619, 2509, 1008, 1062, 23277, 2102, 1062, 1029, 25717, 2581, 16086, 1008, 1062, 1008, 1008, 1016, 1011, 15471, 26976, 2424, 1996, 2353, 13819, 1997, 6191, 2620, 23833, 1008, 1040, 1008, 1008, 1020, 1011, 12875, 1008, 1040, 1008, 1008, 1018, 1009, 19627, 2683, 2575, 2581, 23833, 2683, 1008, 1040, 1008, 1008, 1016, 1012, 6146, 28154, 12521, 2692, 1008, 1040, 1008, 1008, 1017, 1011, 2753, 12740, 1008, 1040, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 4878, 2581, 1008, 1050, 1008, 1008, 1016, 1008, 1052, 1008, 1008, 1016, 1009, 1017, 1008, 1050, 1008, 1008, 1016, 1008, 1052, 1011, 1016, 1008, 1050, 1008, 1008, 1016, 1009, 3486, 1008, 1050, 1008, 1052, 1009, 26267, 1008, 1050, 1009, 6079, 22610, 1008, 1052, 1008, 1008, 1016, 1009, 1052, 1009, 26953, 23277, 2102, 1052, 1029, 1011, 4229, 17788, 2549, 1008, 1050, 1008, 1008, 1016, 1009, 13092, 2683, 2549, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 17422, 16576, 2575, 2683, 2683, 2581, 1008, 1057, 1008, 1008, 1017, 1011, 3438, 1008, 1057, 1009, 25113, 19317, 2629, 23277, 2102, 1057, 1029, 1011, 21611, 10790, 2575, 16147, 2620, 2475, 1008, 1057, 2424, 1996, 2353, 13819, 1997, 1011, 17365, 22610, 24434, 19317, 1008, 1056, 1008, 1008, 1018, 1009, 2403, 1008, 1056, 1008, 1008, 1016, 1009, 24709, 1008, 1056, 1009, 6079, 2575, 2683, 23277, 2102, 1056, 1012, 1011, 4229, 23352, 21619, 2683, 16703, 2620, 1008, 1056, 2424, 1996, 2034, 13819, 1997, 1011, 1018, 1008, 1040, 1008, 1008, 1016, 1008, 1049, 1008, 1052, 1009, 27954, 2487, 1008, 1040, 1008, 1008, 1016, 1008, 1052, 1011, 5786, 1008, 1040, 1008, 1008, 1016, 1011, 4185, 1008, 1040, 1008, 1049, 1008, 1052, 1009, 5764, 1008, 1040, 1008, 1049, 1009, 1016, 1008, 1040, 1008, 1052, 1009, 1016, 1008, 1049, 23277, 2102, 1049, 1012, 1011, 1018, 1008, 1040, 1008, 1008, 1016, 1008, 1052, 1011, 4185, 1008, 1040, 1008, 1052, 1009, 5764, 1008, 1040, 1009, 1016, 2424, 1996, 2353, 13819, 1997, 4601, 1008, 1048, 1008, 1008, 1019, 1008, 1051, 1008, 1008, 1016, 1011, 6275, 20842, 2692, 1008, 1048, 1008, 1008, 1017, 1008, 1051, 1008, 1008, 1017, 1009, 2603, 1008, 1048, 1008, 1008, 1016, 1008, 1051, 1008, 1008, 1017, 1009, 1019, 1008, 1048, 1008, 1051, 1008, 1008, 1017, 1011, 3770, 2581, 2487, 1008, 1048, 1008, 1051, 23277, 2102, 1048, 1012, 22376, 2692, 1008, 1048, 1008, 1008, 1016, 1008, 1051, 1008, 1008, 1016, 1011, 4700, 21486, 16086, 1008, 1051, 1008, 1008, 1017, 2424, 1996, 2117, 13819, 1997, 13029, 1008, 1056, 1008, 1062, 1008, 1008, 1017, 1011, 2484, 1008, 1056, 1008, 1062, 1008, 1008, 1016, 1011, 1056, 1008, 1062, 1009, 2184, 1008, 1056, 1011, 1016, 1008, 1062, 1008, 1008, 1017, 1011, 4466, 1008, 1062, 1008, 1008, 1016, 1011, 2184, 1008, 1062, 1009, 6564, 2549, 23277, 2102, 1062, 1012, 6146, 2475, 1008, 1056, 1008, 1062, 1011, 4466, 1008, 1056, 1011, 2260, 1008, 1062, 1011, 5986, 21032, 6584, 1008, 1048, 1008, 1008, 1016, 1008, 1049, 1008, 1008, 1016, 1009, 12457, 1008, 1048, 1008, 1008, 1016, 1008, 1049, 1011, 4805, 24434, 1008, 1048, 1008, 1049, 1009, 1018, 1008, 1049, 1008, 1008, 1016, 1011, 6191, 2620, 15136, 16932, 2683, 2007, 4847, 2000, 1048, 1012, 19492, 1008, 1048, 1008, 1049, 1008, 1008, 1016, 1009, 22238, 1008, 1048, 1008, 1049, 1011, 4805, 24434, 1008, 1049, 2054, 2003, 1996, 2353, 13819, 1997, 12904, 2692, 26224, 21057, 22394, 1008, 1061, 1008, 1008, 1020, 1011, 4466, 2575, 2683, 21057, 21057, 2692, 1008, 1061, 1008, 1008, 1016, 1029, 16621, 17788, 2683, 2620, 2620, 23499, 16086, 1008, 1061, 1008, 1008, 1017, 2054, 2003, 1996, 2117, 13819, 1997, 4805, 1008, 1044, 1008, 1008, 1017, 1008, 1056, 1008, 1008, 1016, 1008, 1060, 1009, 5018, 21084, 1008, 1044, 1008, 1008, 1017, 1008, 1056, 1008, 1008, 1016, 1009, 5401, 1008, 1044, 1008, 1008, 1017, 1008, 1056, 1011, 1016, 1008, 1044, 1008, 1008, 1017, 1011, 1023, 1008, 1044, 1008, 1008, 1016, 1008, 1056, 1009, 1044, 1008, 1060, 1009, 1022, 1008, 1060, 1009, 1015, 23277, 2102, 1056, 1029, 6227, 1008, 1044, 1008, 1008, 1017, 1008, 1060, 1009, 19123, 22407, 1008, 1044, 1008, 1008, 1017, 2054, 2003, 1996, 2117, 13819, 1997, 4720, 2575, 18827, 2692, 2683, 1008, 1055, 1008, 1008, 1017, 1009, 20263, 21472, 2620, 2509, 1008, 1055, 1029, 22904, 2581, 22932, 27009, 1008, 1055, 2424, 1996, 2034, 13819, 1997, 1011, 4008, 18827, 2581, 2683, 2575, 2683, 1008, 1060, 1011, 6079, 26224, 2620, 2620, 14142, 23277, 2102, 1060, 1012, 1011, 4008, 18827, 2581, 2683, 2575, 2683, 21032, 1011, 9645, 20842, 2683, 19841, 1008, 1052, 1011, 16087, 25746, 23833, 2581, 2007, 4847, 2000, 1052, 1012, 1011, 9645, 20842, 2683, 19841, 2054, 2003, 1996, 2117, 13819, 1997, 4464, 1008, 1037, 1008, 1008, 1017, 1008, 1049, 1011, 2403, 1008, 1037, 1008, 1008, 1017, 1011, 24441, 1008, 1037, 1008, 1008, 1016, 1008, 1049, 1011, 1017, 1008, 1037, 1008, 1008, 1016, 1011, 4601, 2575, 2683, 1008, 1037, 1008, 1049, 1009, 1021, 1008, 1049, 1009, 4261, 23277, 2102, 1037, 1029, 22018, 1008, 1037, 1008, 1049, 1011, 6391, 1008, 1037, 1011, 4720, 2475, 1008, 1049, 1011, 1020, 2424, 1996, 2117, 13819, 1997, 24231, 1008, 1053, 1008, 1008, 1019, 1011, 17405, 2575, 1008, 1053, 1008, 1008, 1018, 1011, 1020, 1008, 1053, 1008, 1008, 1017, 1011, 20304, 2620, 21486, 2683, 2475, 1008, 1053, 1012, 5139, 12740, 1008, 1053, 1008, 1008, 1017, 1011, 24398, 2581, 2475, 1008, 1053, 1008, 1008, 1016, 1011, 4029, 1008, 1053, 2054, 2003, 1996, 2353, 13819, 1997, 4720, 26187, 27531, 19317, 2549, 1008, 1047, 1008, 1008, 1020, 1009, 21679, 2509, 1008, 1047, 1008, 1008, 1016, 1011, 19540, 1008, 1047, 1011, 3943, 23277, 2102, 1047, 1029, 6191, 16147, 2692, 19317, 2575, 2620, 17914, 1008, 1047, 1008, 1008, 1017, 2424, 1996, 2353, 13819, 1997, 1011, 4601, 2575, 2620, 16068, 1008, 1040, 1008, 1008, 1018, 1009, 2484, 1008, 1040, 1008, 1008, 1017, 1011, 5401, 1008, 1040, 1008, 1008, 1016, 1009, 19015, 28154, 2549, 1012, 1011, 6694, 19481, 16086, 1008, 1040, 1009, 14748, 2424, 1996, 2353, 13819, 1997, 1011, 5179, 2575, 22407, 18613, 2575, 1008, 1060, 1008, 1008, 1017, 1009, 9402, 2581, 2581, 2683, 26187, 1008, 1060, 1008, 1008, 1016, 1011, 1023, 23277, 2102, 1060, 1012, 1011, 28977, 2581, 2575, 20842, 2692, 21619, 2054, 2003, 1996, 2034, 13819, 1997, 1011, 16333, 2692, 2683, 2683, 2620, 2581, 2683, 1008, 1057, 1009, 15017, 17134, 17465, 2581, 2487, 1029, 1011, 16333, 2692, 2683, 2683, 2620, 2581, 2683, 2424, 1996, 2034, 13819, 1997, 1011, 16734, 1008, 1042, 1008, 1008, 1016, 1008, 1062, 1011, 9645, 2692, 2575, 2683, 2620, 22610, 1008, 1042, 1008, 1008, 1016, 1009, 1016, 1008, 1042, 1008, 1062, 1009, 1042, 1011, 11176, 2575, 2581, 2620, 1008, 1062, 23277, 2102, 1062, 1012, 1011, 16734, 1008, 1042, 1008, 1008, 1016, 1009, 1016, 1008, 1042, 1011, 11176, 2575, 2581, 2620, 2424, 1996, 2117, 13819, 1997, 22649, 21926, 27531, 2581, 1008, 1040, 1008, 1044, 1008, 1008, 1016, 1011, 4868, 27814, 19841, 2683, 2620, 1008, 1040, 1008, 1044, 23277, 2102, 1044, 1012, 23908, 22610, 2581, 16932, 1008, 1040, 2054, 2003, 1996, 2117, 13819, 1997, 9645, 2683, 2581, 2581, 1008, 1055, 1008, 1008, 1017, 1011, 3486, 1008, 1055, 1008, 1008, 1016, 1009, 8165, 2575, 12521, 2475, 1008, 1055, 1029, 5786, 2683, 20842, 2475, 1008, 1055, 1011, 3963, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 1016, 1008, 1061, 1008, 1008, 1018, 1011, 11816, 16048, 21472, 2629, 1008, 1061, 1008, 1008, 1017, 1009, 1016, 1008, 1061, 1008, 1008, 1016, 1011, 3118, 2692, 22025, 18139, 1008, 1061, 23277, 2102, 1061, 1029, 1011, 2484, 1008, 1061, 1008, 1008, 1016, 1011, 15028, 2692, 2683, 2620, 2581, 21057, 1008, 1061, 1009, 1018, 2054, 2003, 1996, 2034, 13819, 1997, 7886, 17134, 2692, 2620, 2683, 1008, 1043, 1008, 1008, 1017, 1011, 6146, 20842, 24096, 2629, 23277, 2102, 1043, 1029, 19988, 23499, 23833, 2581, 1008, 1043, 1008, 1008, 1016, 2054, 2003, 1996, 2117, 13819, 1997, 22431, 16932, 24096, 1008, 1042, 1008, 1008, 1017, 1011, 23785, 12740, 1008, 1042, 1009, 2459, 1029, 13741, 22407, 12740, 2575, 1008, 1042, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 5139, 2620, 2620, 21926, 17465, 2629, 1008, 1046, 1008, 1008, 1016, 1009, 23980, 2581, 16048, 16932, 1008, 1046, 1011, 2385, 23277, 2102, 1046, 1029, 1011, 11518, 2581, 21084, 21084, 14142, 2054, 2003, 1996, 2353, 13819, 1997, 1011, 19594, 2575, 17914, 2683, 2620, 1008, 1058, 1008, 1008, 1017, 1009, 1016, 1008, 1058, 1008, 1008, 1016, 1009, 6486, 23632, 24594, 2549, 1008, 1058, 1029, 1011, 14506, 8889, 27531, 2620, 2620, 2424, 1996, 2353, 13819, 1997, 4029, 1008, 1059, 1008, 1060, 1008, 1008, 1017, 1009, 14748, 2620, 2683, 1008, 1059, 1008, 1060, 1008, 1008, 1016, 1011, 24622, 2575, 2509, 1008, 1060, 1008, 1008, 1017, 1009, 4261, 23277, 2102, 1060, 1012, 20294, 1008, 1059, 1011, 10011, 2581, 2620, 2054, 2003, 1996, 13819, 1997, 9402, 10790, 16932, 1008, 1044, 1008, 1008, 1016, 1011, 4029, 2683, 23499, 22394, 2475, 1029, 19627, 11387, 22407, 1008, 1044, 2424, 1996, 2034, 13819, 1997, 26995, 21084, 2549, 1008, 1039, 1008, 1008, 1017, 1008, 1045, 1009, 1039, 1008, 1008, 1017, 1011, 1016, 1008, 1045, 1011, 7287, 17134, 2620, 2683, 23277, 2102, 1039, 1012, 4868, 24087, 2683, 16703, 1008, 1039, 1008, 1008, 1016, 1008, 1045, 1009, 1017, 1008, 1039, 1008, 1008, 1016, 2054, 2003, 1996, 2034, 13819, 1997, 20335, 2620, 15136, 16576, 1008, 1043, 1011, 8732, 22932, 22907, 2475, 23277, 2102, 1043, 1029, 20335, 2620, 15136, 16576, 2054, 2003, 1996, 2353, 13819, 1997, 14078, 23833, 16703, 2683, 1008, 1045, 1008, 1008, 1020, 1011, 5585, 28154, 21926, 2683, 1008, 1045, 1008, 1008, 1016, 1029, 17696, 2581, 16068, 2683, 18139, 2692, 1008, 1045, 1008, 1008, 1017, 2424, 1996, 2353, 13819, 1997, 1011, 1016, 1008, 1046, 1008, 1008, 1017, 1008, 1061, 1008, 1008, 1016, 1009, 12567, 2692, 17914, 2620, 1008, 1046, 1008, 1008, 1017, 1008, 1061, 1011, 1016, 1008, 1046, 1008, 1008, 1017, 1009, 1022, 1008, 1046, 1008, 1008, 1016, 1008, 1061, 1008, 1008, 1016, 1009, 3429, 2620, 2620, 1008, 1046, 1008, 1061, 1008, 1008, 1016, 1011, 1016, 1008, 1046, 1008, 1061, 1011, 1016, 23277, 2102, 1046, 1012, 1011, 2260, 1008, 1061, 1008, 1008, 1016, 1009, 3963, 18827, 2620, 18139, 1008, 1061, 1011, 2260, 2054, 2003, 1996, 2117, 13819, 1997, 5388, 2581, 15136, 1008, 1038, 1008, 1008, 1016, 1008, 1045, 1008, 1008, 1016, 1011, 3770, 1008, 1038, 1008, 1008, 1016, 1011, 2570, 1008, 1038, 1008, 1045, 1008, 1008, 1016, 1009, 1021, 1008, 1038, 1009, 28058, 2620, 2620, 1008, 1045, 1008, 1008, 1016, 23277, 2102, 1038 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 18745, 1048, 6038, 23033, 4232, 1005, 1055, 9927, 9857, 1010, 1021, 2337, 2262, 1045, 2031, 3130, 2517, 2055, 1996, 7860, 1997, 22380, 2019, 7768, 2241, 4942, 21572, 20614, 1006, 2066, 1996, 2377, 7705, 1007, 2046, 1037, 3857, 2008, 2003, 4728, 5003, 8159, 2241, 1012, 2044, 2070, 2147, 2009, 2003, 2085, 2551, 2348, 1996, 2490, 5683, 1037, 2978, 21766, 21341, 5649, 1012, 2182, 2024, 1996, 11637, 2006, 2129, 2000, 2191, 2009, 2147, 5095, 1010, 2403, 2254, 2262, 2009, 2453, 4025, 2200, 4675, 29202, 2000, 2707, 2478, 6842, 1005, 1055, 20950, 4289, 2000, 6133, 6842, 5841, 2043, 2009, 2038, 2107, 1037, 2307, 4773, 8278, 1010, 2926, 2144, 2009, 2003, 1996, 4773, 8278, 2029, 2038, 2081, 6842, 2061, 3921, 3085, 1998, 3733, 2000, 2224, 1012, 2123, 1005, 1056, 2131, 2033, 3308, 1012, 1045, 2145, 2293, 1996, 4773, 8278, 1998, 2228, 2009, 2003, 1996, 2157, 2126, 2000, 2131, 2111, 2000, 2224, 1996, 6994, 1010, 2174, 1045, 2036, 2228, 2045, 3310, 1037, 2051, 2043, 2017, 2041, 16523, 5004, 1996, 4773, 8278, 1998, 2023, 2003, 2339, 1045, 2328, 1996, 3105, 16748, 8844, 6994, 1012, 2122, 2024, 1996, 5918, 1998, 3314, 2008, 3303, 2033, 2000, 2041, 16523, 5004, 1996, 4773, 8278, 1024, 6410, 3431, 2987, 1005, 1056, 4094, 2478, 1996, 4773, 8278, 2000, 2191, 3431, 2000, 3265, 5841, 2003, 2200, 3733, 1010, 2021, 2009, 2987, 1005, 1056, 2428, 4094, 2065, 2017, 2342, 2000, 2689, 1037, 2843, 1997, 5841, 2006, 1996, 2168, 2051, 1012, 2028, 2742, 2071, 2022, 5278, 1996, 21025, 2102, 3589, 2013, 1000, 3040, 1000, 2000, 1037, 2713, 3589, 2005, 2035, 1996, 5841, 3141, 2000, 1037, 4044, 1010, 2107, 1037, 2689, 2071, 9125, 14873, 1997, 2382, 5841, 1012, 2178, 2742, 2071, 2022, 2008, 2045, 2024, 3431, 2000, 1996, 4180, 1998, 1013, 2030, 3252, 1997, 1996, 5841, 1998, 2216, 2442, 2022, 17678, 16098, 3064, 2039, 2083, 1996, 10058, 1999, 26351, 2007, 2622, 3642, 1012, 2023, 2052, 2022, 2130, 2062, 6410, 3431, 1012, 6605, 2023, 2007, 6410, 3431, 1999, 1996, 4773, 19706, 13999, 1037, 2502, 3891, 2005, 2529, 7561, 1998, 4297, 5644, 27870, 14767, 1012, 6842, 5841, 2024, 3642, 2065, 2017, 2215, 2000, 2022, 2583, 2000, 21376, 1037, 3857, 2030, 10813, 2012, 1037, 2101, 2051, 2009, 2003, 2590, 2008, 2017, 2064, 2036, 21376, 1996, 6842, 5841, 1012, 1999, 2344, 2000, 2079, 2023, 2017, 2342, 2000, 3573, 1998, 2544, 2115, 6842, 3105, 22354, 1012, 2023, 2003, 8100, 2190, 2589, 1999, 1037, 8040, 2213, 2066, 21025, 2102, 2030, 4942, 27774, 1012, 2725, 2061, 2036, 3957, 2017, 1996, 5724, 2000, 2079, 21648, 2458, 1997, 2115, 5841, 1012, 5604, 1998, 2062, 2084, 2028, 6842, 6013, 1012, 2077, 2437, 3431, 2000, 1996, 5841, 2108, 8851, 2109, 1996, 3431, 2323, 8100, 2022, 7718, 4873, 1012, 2023, 5373, 2965, 4526, 1996, 2168, 2275, 1997, 5841, 4873, 2842, 2030, 9416, 2875, 1037, 2367, 4044, 1012, 2383, 1996, 5841, 4225, 2004, 23561, 2015, 3084, 2009, 3733, 2005, 1037, 9722, 2000, 7170, 1996, 5841, 2046, 1037, 2797, 6842, 6013, 2000, 7551, 2030, 3745, 2009, 2006, 1996, 5604, 6013, 1012, 3452, 1997, 2607, 6842, 2064, 2022, 3266, 3081, 1996, 4773, 8278, 1010, 2021, 2005, 2033, 2009, 2003, 2074, 2178, 3357, 1999, 1996, 19309, 1012, 5958, 1010, 2410, 2254, 2262, 1045, 2031, 2633, 2018, 1996, 3382, 2000, 4139, 2362, 1996, 2197, 3431, 2077, 13856, 1996, 2034, 2544, 1997, 1996, 6842, 3105, 8543, 6994, 1012, 1996, 2801, 2369, 1996, 6994, 2003, 2008, 2017, 2064, 4339, 2489, 10665, 2121, 2241, 23561, 2015, 1998, 11506, 2216, 2007, 5144, 4225, 1999, 1037, 1000, 13117, 1000, 12827, 1999, 2344, 2000, 9699, 6842, 1005, 1055, 3105, 9530, 8873, 2290, 1012, 20950, 6764, 1012, 2023, 2003, 3701, 6179, 2065, 2017, 5441, 1037, 2193, 1997, 2714, 5841, 1010, 2030, 2031, 1037, 2186, 1997, 5841, 2008, 2017, 2342, 2000, 20648, 2005, 3674, 10058, 1012, 1045, 2113, 2551, 2007, 6842, 1005, 1055, 20950, 6764, 3495, 2064, 4025, 4675, 29202, 2144, 2028, 1997, 6842, 1005, 1055, 2364, 20828, 2003, 2049, 3921, 8010, 1998, 3733, 2000, 2224, 4773, 8278, 1010, 2061, 2101, 2023, 2733, 1045, 2097, 2695, 1037, 2062, 1999, 5995, 9927, 2695, 9990, 2339, 1045, 4900, 2000, 2175, 2023, 2799, 1012, 2023, 11829, 2038, 2085, 2042, 4964, 1998, 1037, 2047, 2544, 1997, 1996, 2713, 13354, 2378, 2038, 2042, 2207, 1012, 2061, 2065, 2017, 10651, 1996, 2713, 13354, 2378, 2000, 2544, 1016, 1012, 1016, 1012, 1016, 1010, 6842, 1005, 1055, 5003, 8159, 2509, 8346, 2097, 2085, 2147, 2005, 7085, 2036, 1012, 2296, 3178, 21296, 1998, 3231, 1996, 6745, 5147, 3857, 25762, 2000, 16475, 1001, 1015, 2296, 2154, 21296, 1998, 3231, 1996, 6745, 25762, 2029, 2031, 2042, 5147, 7718, 1999, 16475, 1001, 1015, 2000, 16475, 1001, 1016, 2006, 5157, 2079, 1037, 5003, 8159, 2713, 1997, 1996, 6745, 25762, 2008, 2031, 2979, 5604, 1999, 16475, 1001, 1016, 1996, 24026, 2112, 1997, 2023, 13117, 3310, 1999, 1996, 16475, 1001, 1016, 4044, 2138, 2009, 3791, 1037, 2126, 2000, 7276, 1996, 6745, 25762, 2029, 2031, 2042, 7718, 1999, 16475, 1001, 1015, 2612, 1997, 2074, 1996, 6745, 25762, 2550, 1012, 1996, 2168, 3632, 2005, 2437, 1996, 2713, 1010, 1045, 2342, 2070, 2126, 2000, 6709, 2029, 25762, 2031, 2042, 7718, 5147, 1999, 16475, 1001, 1016, 1012, 2023, 2965, 1045, 3685, 11160, 2006, 2074, 8130, 1996, 6745, 20057, 12326, 7333, 2000, 1996, 4722, 22409, 1012, 2057, 2031, 2641, 2367, 7047, 1024, 10172, 1996, 20057, 12326, 2000, 1037, 4722, 22409, 1998, 4287, 2105, 1996, 2335, 15464, 2361, 1997, 1996, 3563, 20057, 12326, 2544, 1012, 2023, 2052, 3499, 2149, 2000, 9231, 2041, 1996, 2544, 1010, 2021, 3957, 2149, 1037, 3291, 2007, 12362, 2000, 9344, 2039, 15171, 20057, 12326, 2015, 2004, 26041, 2064, 2069, 2079, 2562, 1060, 2420, 2030, 1060, 4617, 1010, 2021, 2025, 6366, 1037, 2275, 1997, 25762, 2241, 2006, 1037, 2335, 15464, 2361, 1012, 2036, 2009, 2038, 1996, 12482, 5178, 1997, 2111, 11242, 2339, 2057, 2323, 2130, 2079, 5003, 8159, 8287, 2065, 2057, 2525, 2031, 1037, 4310, 8909, 4765, 18095, 1012, 1037, 2117, 3921, 2052, 2022, 2000, 2224, 1996, 1000, 6100, 25762, 1000, 6842, 3444, 1010, 2021, 2059, 1996, 2126, 2057, 2131, 25762, 2052, 2022, 2367, 2090, 16475, 1998, 1996, 3356, 10058, 1012, 1996, 3921, 2057, 2031, 3876, 2006, 2003, 2000, 2025, 21296, 1996, 20057, 12326, 2015, 2000, 1996, 26041, 16360, 2080, 1010, 2021, 2224, 1996, 6842, 5003, 8159, 22409, 13354, 2378, 1012, 2023, 13354, 2378, 14451, 2015, 2169, 3857, 2004, 2049, 2219, 22409, 1012, 1999, 2344, 2000, 2131, 1996, 2157, 25762, 2057, 2224, 1037, 7661, 10906, 1012, 20950, 2000, 5259, 1996, 20057, 12326, 22409, 2000, 1996, 24471, 2140, 1997, 1996, 3563, 3857, 2004, 6086, 2011, 1996, 6842, 13354, 2378, 1012, 2023, 13354, 2378, 2069, 2573, 2007, 2593, 1996, 5841, 5003, 8159, 1016, 5841, 2030, 1996, 2047, 5003, 8159, 1017, 8346, 1010, 2144, 2009, 16803, 2006, 6842, 4824, 1996, 3857, 1998, 1996, 25762, 1012, 2057, 2224, 1996, 3755, 16473, 13354, 2378, 2000, 6709, 1996, 6149, 3857, 1010, 1998, 2057, 2224, 1996, 4712, 3570, 2005, 3733, 4550, 2039, 1997, 2512, 2109, 25762, 1012, 2057, 4033, 1005, 1056, 2246, 2205, 2172, 2046, 2478, 26041, 4013, 1005, 1055, 2838, 2107, 2004, 15308, 16360, 20049, 29469, 2229, 2030, 5815, 27425, 1010, 2144, 1996, 2682, 3921, 2573, 7199, 2092, 2005, 2149, 1012, 1996, 2047, 4119, 1024, 1996, 3114, 2005, 3015, 2023, 2695, 1998, 4851, 2005, 2393, 2003, 1037, 2825, 2689, 2000, 2256, 2832, 2029, 1045, 2572, 2025, 2469, 2129, 2000, 2190, 17409, 1012, 2045, 2003, 1037, 4299, 2000, 17409, 1037, 6922, 1006, 2377, 15643, 6198, 2241, 4773, 29098, 1007, 3857, 2478, 7768, 2046, 2023, 7705, 1998, 4919, 2046, 2023, 2622, 1012, 1045, 2064, 2156, 2023, 4786, 2070, 8346, 20398, 15847, 1996, 2622, 2003, 2028, 2502, 5003, 8159, 4800, 11336, 2622, 1998, 2057, 9544, 2000, 2562, 2009, 2008, 2126, 1012, 2004, 1037, 2200, 2560, 2057, 2215, 2000, 2562, 2477, 2004, 2028, 3857, 1045, 1012, 1041, 2028, 6842, 3105, 2005, 2311, 1012, 2003, 2009, 2825, 2000, 2031, 1037, 5003, 8159, 4942, 5302, 8566, 2571, 13366, 2121, 7781, 2000, 7768, 1029, 2065, 2057, 2131, 1996, 6922, 2328, 2478, 7768, 2069, 1010, 2059, 6842, 2097, 2025, 2022, 2583, 2000, 2156, 1996, 9560, 2004, 1037, 5003, 8159, 16185, 7011, 6593, 1010, 1998, 2004, 2947, 2180, 2102, 2022, 2583, 2000, 14451, 2009, 2004, 2112, 1997, 1996, 1000, 22409, 2566, 3857, 1000, 1012, 2008, 2003, 2012, 2560, 2026, 2844, 10928, 1012, 2054, 2000, 2079, 1029, 2061, 2515, 3087, 2031, 1037, 15690, 2006, 2129, 2000, 10663, 2023, 1029, 2064, 2057, 4550, 2135, 17409, 7768, 2046, 2256, 2783, 3857, 1010, 2065, 2061, 2129, 1029, 2079, 2057, 2342, 2000, 2424, 2178, 3921, 2084, 2478, 1996, 1000, 22409, 2566, 3857, 1000, 13354, 2378, 1029, 2065, 2061, 1010, 2054, 2003, 1996, 4081, 4522, 1012, 2052, 26041, 1013, 20785, 10253, 3825, 6572, 2191, 2023, 6082, 1029, 2074, 2000, 2022, 3154, 2026, 5918, 2024, 1024, 2013, 1996, 2648, 2009, 2442, 3711, 2004, 2028, 3857, 1045, 1012, 1041, 1012, 2028, 6842, 3105, 1012, 2005, 1037, 9797, 15363, 3857, 2009, 2003, 3100, 2000, 2022, 1037, 4800, 3357, 2832, 2057, 2342, 2000, 2022, 2583, 2000, 20648, 1037, 3327, 3857, 2000, 21296, 1999, 16475, 1001, 1016, 1998, 2005, 8287, 1012, 2057, 2052, 2066, 2000, 3613, 1996, 2224, 1996, 3755, 16473, 13354, 2378, 2000, 5107, 4697, 2204, 16473, 9317, 1010, 2656, 2255, 2249, 2023, 2003, 1037, 3319, 1997, 15895, 5003, 8159, 1017, 5660, 8654, 2517, 2011, 1000, 5185, 24388, 2319, 1000, 1012, 1045, 2288, 1037, 2489, 6100, 2013, 5308, 2102, 4640, 2005, 1996, 3800, 1997, 1996, 3319, 1012, 1045, 2031, 2042, 2478, 5003, 8159, 2005, 2070, 2086, 2085, 1998, 2023, 2338, 2003, 1037, 23889, 2338, 1010, 2061, 2009, 2001, 3154, 2013, 1996, 2927, 2008, 1045, 2572, 2025, 1999, 1996, 4539, 4378, 1012, 1996, 2806, 1997, 14541, 1996, 2338, 2046, 2753, 19328, 3084, 2005, 1037, 2204, 4289, 2029, 2003, 3733, 2000, 3191, 1998, 7807, 1996, 2338, 2046, 2235, 10106, 2005, 1996, 8068, 1012, 2612, 1997, 7995, 9578, 2006, 2129, 5003, 8159, 2003, 26928, 1010, 1996, 3166, 5363, 2000, 5495, 2070, 1997, 1996, 5739, 2000, 4007, 2458, 6078, 1041, 1012, 1043, 1012, 5266, 26041, 1998, 6842, 2096, 9990, 2136, 5792, 1012, 2009, 4240, 1996, 2338, 2092, 2000, 2404, 5003, 8159, 2046, 1037, 2458, 7339, 1010, 2021, 2009, 2987, 1005, 1056, 2467, 4906, 2007, 1996, 17974, 4289, 1012, 2005, 6013, 1999, 1996, 26041, 2553, 2013, 2682, 1996, 1000, 2129, 2009, 2147, 1000, 2930, 4150, 2062, 1037, 1000, 2339, 2009, 2003, 2204, 1000, 2930, 1012, 1045, 2066, 1996, 2755, 2008, 1996, 2338, 4472, 1037, 2898, 2846, 1997, 2367, 2622, 4127, 1998, 7832, 1012, 2116, 2335, 2043, 2017, 3191, 14924, 26340, 2030, 2060, 12653, 2069, 1996, 21304, 2622, 4127, 2024, 3139, 2975, 1996, 8068, 2000, 5587, 13354, 7076, 2004, 2734, 1012, 2023, 2338, 4472, 2116, 2622, 4127, 1998, 7705, 1998, 2070, 2512, 1011, 9262, 2752, 1012, 2009, 2036, 4472, 2477, 2066, 4292, 2039, 26041, 1010, 6842, 1010, 2536, 8909, 2229, 1012, 2009, 2130, 2038, 1037, 2309, 3127, 2006, 13354, 2378, 2458, 1012, 1999, 1996, 2034, 3127, 1996, 2504, 1997, 2592, 1999, 2169, 17974, 2003, 6413, 1010, 2021, 2004, 1996, 9159, 2131, 2062, 3375, 1996, 2504, 1997, 2592, 2515, 2025, 1012, 2023, 3463, 1999, 2116, 1997, 1996, 19328, 2108, 2205, 21934, 24759, 6553, 1012, 1037, 3539, 2742, 1996, 2003, 2275, 1011, 2039, 1997, 6556, 16360, 20049, 29469, 2229, 1010, 2009, 5577, 1999, 2307, 2116, 3898, 7171, 2129, 2000, 16500, 3419, 11266, 1021, 1998, 21296, 26041, 1010, 2021, 2069, 2038, 1037, 2309, 2240, 1997, 2592, 2006, 2129, 2000, 2275, 1011, 2039, 1996, 6556, 22409, 1010, 4606, 2069, 9704, 1006, 19721, 1007, 5278, 1996, 10906, 1012, 20950, 1998, 2025, 1996, 3223, 3431, 2000, 1996, 2622, 4874, 2944, 1012, 2061, 2009, 11896, 2000, 2393, 1996, 8068, 9375, 1998, 2224, 1996, 6556, 22409, 2825, 2975, 1996, 8068, 2007, 1037, 3714, 2275, 1011, 2039, 2023, 21934, 24759, 6553, 3921, 2038, 2178, 2217, 3466, 1012, 1999, 2116, 1997, 1996, 19328, 2045, 2003, 3154, 6100, 1011, 19351, 1005, 2583, 4973, 2021, 2200, 2210, 7526, 1997, 2339, 2477, 2024, 1996, 2027, 2024, 1012, 2019, 2742, 2052, 2022, 1996, 2034, 17974, 2029, 8970, 4800, 1011, 11336, 3934, 1012, 1999, 1996, 2327, 2504, 2622, 6210, 1996, 12530, 15266, 2024, 2872, 1999, 1000, 1026, 24394, 24805, 21693, 4765, 1028, 1000, 2930, 2612, 1997, 1996, 3671, 1000, 1026, 12530, 15266, 1028, 1000, 2930, 2302, 2019, 7526, 1997, 2339, 1012, 7091, 1024, 2096, 1045, 2066, 1996, 2806, 1998, 2146, 2862, 1997, 7832, 3139, 1999, 2023, 2338, 1010, 1045, 2228, 1996, 3247, 2025, 1996, 4863, 1996, 4751, 1997, 2339, 2477, 2147, 2066, 2027, 2079, 1041, 1012, 1043, 1012, 1026, 12530, 15266, 1028, 5443, 1026, 24394, 24805, 21693, 4765, 1028, 2030, 2129, 16360 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2129, 1996, 2149, 3724, 4701, 2000, 2202, 2091, 1996, 11304, 3016, 1011, 22195, 2389, 16770, 1024, 1013, 1013, 22047, 3372, 19699, 25508, 1012, 4012, 1013, 2129, 1011, 1996, 1011, 2149, 1011, 3724, 1011, 4701, 1011, 2000, 1011, 2202, 1011, 2091, 1011, 1996, 1011, 11304, 1011, 3016, 1011, 28460, 12521, 1013, 1027, 1027, 1027, 1027, 1027, 1027, 2452, 1011, 1997, 1011, 5572, 1996, 9385, 3068, 2038, 2018, 2521, 2205, 2172, 2373, 2005, 2116, 2086, 2085, 1012, 2021, 2043, 1045, 2831, 2000, 2111, 2055, 2023, 6343, 14977, 1012, 2005, 2087, 2111, 1996, 3688, 1997, 2023, 3068, 2024, 2074, 1000, 4180, 1000, 2029, 2027, 2224, 2000, 5949, 2037, 2051, 2061, 1045, 6814, 2009, 3084, 3168, 2008, 2027, 2123, 1005, 1056, 2729, 2205, 2172, 2055, 2009, 1012, 1996, 10576, 2003, 2008, 1996, 9385, 3068, 7711, 1037, 2312, 1998, 14678, 3652, 2112, 1997, 2256, 3226, 1998, 2037, 2373, 2003, 2069, 4852, 1012, 1045, 2001, 2045, 2043, 1037, 2866, 2189, 27080, 2170, 1051, 19839, 1005, 1055, 5061, 4186, 2001, 3844, 2091, 1012, 1996, 2610, 18784, 1996, 2188, 1997, 1996, 2609, 3954, 2077, 6440, 1998, 2130, 1996, 2188, 1997, 2010, 2269, 2040, 2018, 2053, 2801, 2054, 2010, 2365, 2001, 2039, 2000, 1012, 9385, 3068, 4898, 2626, 1996, 2739, 3720, 1010, 6815, 2009, 2001, 1000, 5186, 21115, 1000, 1998, 2443, 20296, 2107, 2004, 1000, 2306, 1037, 2261, 2847, 1997, 1037, 2759, 3653, 1011, 2713, 2650, 2108, 6866, 2006, 1996, 1051, 19839, 2609, 1010, 5606, 1997, 4809, 2064, 2022, 2179, 1000, 1012, 1996, 2609, 1005, 1055, 3954, 2001, 2179, 2025, 5905, 1999, 2457, 2195, 2086, 2101, 1010, 2021, 2025, 2077, 1996, 9385, 3068, 7687, 9868, 2010, 2166, 1012, 2021, 2129, 2515, 2023, 4148, 1029, 2065, 2017, 2831, 2000, 2087, 2111, 2027, 2123, 1005, 1056, 3305, 9385, 2012, 2035, 1012, 2027, 2228, 2009, 1005, 1055, 2070, 2785, 1997, 21598, 3570, 2008, 2017, 2031, 2000, 3477, 2005, 1010, 2066, 1037, 11749, 2030, 2242, 1012, 2087, 2111, 2024, 2025, 2130, 5204, 2008, 2027, 2907, 9385, 2015, 1012, 1998, 2339, 2052, 2027, 1029, 2064, 1996, 2779, 2711, 18654, 1996, 2610, 2000, 2393, 4047, 2037, 9385, 1029, 1997, 2607, 2025, 1012, 2009, 1005, 1055, 2025, 2130, 1037, 4735, 3043, 1012, 1996, 2610, 2108, 2920, 3849, 2498, 2460, 1997, 7897, 1012, 1066, 1066, 1066, 8879, 4842, 10936, 2050, 2002, 2001, 2770, 1037, 4037, 2008, 7065, 16116, 2105, 20084, 8817, 1997, 9385, 2015, 1012, 2339, 5807, 1005, 1056, 2002, 2175, 2000, 7173, 1029, 2054, 3957, 2017, 1996, 2157, 2000, 2202, 2619, 2842, 1005, 1055, 20398, 17904, 2135, 2580, 6018, 4325, 1998, 2507, 2009, 2185, 2005, 2489, 2000, 5190, 1997, 2111, 1010, 2139, 18098, 14966, 2068, 1997, 1996, 7262, 2157, 2000, 5271, 2037, 2219, 2147, 1012, 9385, 2003, 2119, 1037, 4735, 1998, 2942, 3043, 1012, 1996, 2942, 2457, 2291, 2003, 6179, 2005, 2116, 2477, 1010, 2021, 2009, 2003, 3132, 2000, 12194, 12394, 1010, 2029, 2003, 2025, 2200, 14044, 2043, 1996, 12394, 2024, 1999, 1996, 8817, 1998, 1996, 13474, 3475, 1005, 1056, 2200, 7272, 1012, 1996, 18476, 2373, 1997, 1996, 4735, 2291, 2003, 2025, 6413, 2005, 3265, 2111, 8816, 2075, 2189, 1010, 2021, 2009, 5121, 2003, 2005, 1037, 12138, 3169, 5994, 1996, 6206, 4353, 1997, 8817, 1997, 9385, 2098, 2573, 2000, 5606, 1997, 5190, 1997, 5198, 1012, 1027, 1027, 10086, 1027, 1027, 2070, 10960, 1010, 2144, 1045, 1005, 1049, 3446, 1011, 3132, 1024, 1028, 1035, 1999, 2087, 3572, 1045, 3191, 2055, 2009, 1005, 1055, 2062, 1037, 3043, 1997, 1996, 2783, 9385, 1028, 9111, 6431, 1996, 6904, 6895, 27606, 4263, 1012, 2025, 1037, 3043, 1997, 1996, 8543, 6431, 1996, 5025, 1028, 8816, 2121, 1012, 1035, 2048, 2685, 1012, 1015, 1032, 1012, 2129, 2079, 2017, 2228, 1996, 2783, 9385, 9111, 2288, 1996, 9385, 1029, 2027, 3734, 2009, 2013, 1996, 8543, 2011, 2593, 7079, 1999, 5083, 2030, 2044, 1996, 2755, 2030, 2004, 2112, 1997, 2070, 7552, 3066, 1012, 1016, 1032, 1012, 2065, 2017, 2448, 1037, 3006, 2008, 2017, 2113, 2003, 2109, 2471, 7580, 2011, 2111, 4855, 24528, 12733, 1010, 2079, 2017, 2228, 2008, 1005, 1055, 3423, 2074, 2138, 2017, 1005, 2128, 2025, 1996, 17634, 2030, 1996, 14939, 1029, 1999, 2553, 2017, 2123, 1005, 1056, 2113, 1010, 2009, 1005, 1055, 2025, 1010, 1998, 2017, 1005, 2222, 2175, 2000, 7173, 2074, 2004, 2065, 2017, 2018, 2853, 1996, 24528, 12733, 1012, 1028, 1035, 2065, 1996, 13474, 3475, 1005, 1056, 7272, 2044, 20083, 2035, 2008, 4180, 1010, 2003, 1996, 1028, 4180, 4276, 8817, 1029, 2030, 2003, 1996, 2231, 1011, 16348, 2449, 2944, 4276, 1028, 8817, 1029, 1035, 2748, 1010, 7789, 3200, 3475, 1005, 1056, 4276, 2505, 2302, 2231, 7285, 1012, 2021, 2057, 1005, 2310, 2787, 2000, 1010, 2004, 3265, 8384, 1998, 2004, 2019, 2972, 2088, 2011, 5036, 1010, 2000, 3073, 2107, 7285, 1010, 2138, 2057, 2228, 14622, 2107, 3200, 2916, 2003, 2204, 2005, 2256, 2554, 1012, 1998, 2004, 2005, 1996, 2034, 2391, 1010, 2129, 2172, 2017, 2191, 2011, 20084, 2060, 2111, 1005, 1055, 2916, 3475, 1005, 1056, 2008, 7882, 1012, 2065, 1045, 8954, 1037, 4744, 11066, 1997, 18059, 2015, 1998, 2507, 2068, 2185, 2005, 2489, 1010, 1045, 2145, 10312, 2068, 1012, 1045, 5382, 12997, 2003, 2200, 2367, 2013, 3558, 3200, 1010, 2021, 1996, 5618, 1997, 1996, 19302, 3475, 1005, 1056, 2008, 7882, 1999, 2593, 1012, 1066, 1066, 1066, 11721, 21246, 2638, 3423, 3012, 4998, 1010, 3251, 6631, 9385, 2098, 2592, 2003, 16095, 2389, 2030, 2025, 2003, 4340, 2011, 2028, 1005, 1055, 2219, 5300, 1012, 2070, 2111, 1010, 2870, 2443, 1010, 2156, 1037, 2711, 1005, 1055, 2157, 1011, 2000, 1011, 3745, 2000, 2022, 2521, 2062, 2590, 2000, 8438, 2084, 1996, 6048, 3754, 2000, 12666, 2019, 5665, 1011, 10897, 2449, 2944, 2000, 5618, 2125, 2010, 2030, 2014, 2147, 1012, 2045, 2024, 2116, 3971, 2000, 9699, 5618, 2060, 2084, 2000, 1999, 19699, 23496, 2006, 2500, 1005, 2157, 2000, 3745, 1012, 8438, 2515, 2025, 12533, 2017, 1037, 3144, 2449, 2944, 1010, 1998, 5121, 2025, 2012, 1996, 10961, 1997, 2009, 1005, 1055, 2157, 2000, 3745, 1012, 1028, 2054, 3957, 2017, 1996, 2157, 2000, 2202, 2619, 2842, 1005, 1055, 20398, 17904, 2135, 2580, 1028, 6018, 4325, 1998, 2507, 2009, 2185, 2005, 2489, 2000, 5190, 1997, 2111, 1010, 1028, 2139, 18098, 14966, 2068, 1997, 1996, 7262, 2157, 2000, 5271, 2037, 2219, 2147, 1012, 5198, 6631, 9385, 2098, 2147, 2515, 2498, 2000, 4652, 6048, 2013, 5618, 2075, 2125, 2037, 2147, 1012, 9530, 10258, 5844, 6631, 1998, 2449, 2003, 2054, 2288, 2149, 1999, 2023, 6752, 1999, 1996, 2034, 2173, 1012, 1066, 1066, 1066, 23794, 2487, 2228, 2055, 3822, 2088, 3032, 1012, 1045, 1005, 1049, 4659, 2488, 2125, 2084, 2026, 12746, 1006, 1016, 3765, 1010, 2219, 1037, 2160, 4385, 1012, 1007, 2021, 1045, 2064, 2053, 2126, 8984, 2002, 2595, 9938, 16096, 4013, 1010, 20934, 14536, 2609, 2658, 1010, 6583, 7903, 4017, 12882, 2030, 6892, 10024, 7076, 1998, 2023, 2862, 3632, 2006, 1012, 1012, 1012, 2027, 3465, 2062, 2084, 2026, 2048, 2030, 2093, 2706, 1997, 9278, 1012, 2026, 3008, 2024, 2119, 2966, 7435, 1998, 2037, 2966, 2808, 2024, 2025, 15184, 2065, 2027, 2020, 2853, 1999, 2149, 7597, 2021, 2027, 2031, 3822, 2088, 6140, 6572, 1998, 2027, 2064, 10142, 4965, 2122, 4809, 1012, 4007, 17088, 2031, 2000, 15581, 2000, 23746, 24158, 2205, 1012, 10355, 3316, 2525, 5967, 2023, 1998, 1045, 1005, 2310, 2196, 11304, 2094, 2151, 2399, 2144, 5492, 1012, 1045, 1005, 1049, 1037, 7079, 20907, 1010, 3962, 8757, 8013, 2138, 2027, 2024, 21125, 2005, 1996, 2406, 2027, 5452, 1998, 2004, 2017, 2064, 3984, 1045, 1005, 1049, 2025, 22047, 24360, 2189, 2030, 5691, 2593, 1012, 4274, 2003, 3795, 2021, 13131, 2373, 2003, 2025, 1012, 12962, 2135, 1010, 1045, 2156, 2053, 3291, 1999, 22047, 24360, 1012, 2529, 3716, 2003, 1000, 2006, 1996, 4065, 1997, 7230, 1000, 1998, 1999, 9569, 7339, 1011, 1045, 1005, 1049, 2025, 20324, 2023, 1011, 2130, 9385, 2003, 2006, 15311, 5286, 1006, 3200, 2003, 11933, 999, 1011, 5578, 1011, 3312, 7098, 8747, 1007, 1066, 1066, 1066, 2489, 28968, 1028, 10355, 3316, 2525, 5967, 2023, 1998, 1045, 1005, 2310, 2196, 11304, 2094, 2151, 2399, 2144, 1028, 5492, 1012, 1996, 2034, 2000, 11092, 2023, 1010, 2200, 5147, 1010, 2018, 2941, 2042, 6207, 2007, 2037, 3921, 2000, 4855, 23378, 2015, 1012, 2096, 7955, 2001, 2145, 5697, 2667, 2000, 5271, 2058, 18098, 6610, 2094, 3558, 4042, 1010, 17949, 2055, 1996, 1000, 3617, 16215, 2666, 27900, 1000, 1010, 6207, 2165, 2023, 2004, 2019, 4495, 2007, 11943, 1012, 11943, 2081, 9343, 2189, 18397, 2004, 14057, 2004, 2009, 2001, 14255, 15172, 2009, 1010, 2012, 1996, 2168, 2051, 11943, 3039, 6304, 2000, 2069, 4965, 3563, 2774, 1006, 2012, 9608, 7597, 1007, 1010, 2612, 1997, 6932, 2068, 2000, 4965, 2878, 4042, 1012, 10764, 2106, 2242, 2714, 2005, 10355, 2007, 5492, 1010, 2008, 1005, 1055, 2995, 1010, 2021, 2009, 2165, 5492, 2126, 2936, 2000, 2131, 2045, 2084, 2009, 2106, 2202, 11943, 1012, 10047, 6806, 5492, 2038, 2036, 19723, 16119, 3243, 1037, 2978, 1999, 2008, 7634, 1010, 2009, 2109, 2000, 2022, 1037, 2173, 2005, 2204, 9144, 2021, 6233, 5683, 2066, 1037, 4132, 2000, 24596, 2105, 24596, 8059, 2005, 23433, 1998, 6202, 5329, 1012, 1066, 1066, 1066, 3881, 5302, 2140, 6207, 2003, 2019, 5875, 2553, 1012, 2096, 2027, 2089, 2031, 27978, 2098, 2007, 1005, 3423, 1005, 2189, 2004, 1037, 6599, 5460, 1010, 1996, 2502, 14189, 2234, 2013, 5815, 9710, 1998, 17839, 2000, 1996, 28498, 6407, 1997, 1005, 7376, 1005, 2189, 1012, 1037, 2200, 2235, 16745, 1997, 26322, 2015, 2020, 3561, 2039, 2007, 1996, 4606, 1009, 1002, 2184, 2243, 3465, 1997, 1005, 3423, 1005, 2189, 1012, 2053, 2844, 5448, 1010, 2021, 2009, 1005, 1055, 1037, 5399, 4310, 3663, 1999, 1996, 5543, 1997, 12997, 1012, 1066, 1066, 1066, 2489, 28968, 1028, 1037, 2200, 2235, 16745, 1997, 26322, 2015, 2020, 3561, 2039, 2007, 1996, 4606, 1009, 1002, 2184, 2243, 3465, 1997, 1028, 1005, 3423, 1005, 2189, 1012, 2021, 2027, 2020, 2941, 3561, 2007, 2070, 3423, 2189, 1010, 3188, 2000, 11943, 2045, 2347, 1005, 1056, 2428, 1000, 2028, 10562, 2173, 1000, 2005, 13131, 3617, 2189, 1010, 2087, 23378, 1005, 1055, 2234, 2013, 3558, 3729, 1005, 1055, 2111, 9157, 9139, 1012, 1037, 3232, 1997, 4257, 11657, 2578, 10538, 2039, 2077, 1013, 2105, 1996, 2168, 2051, 1010, 2021, 2122, 3262, 2357, 2041, 2000, 2022, 6206, 14927, 1010, 2061, 2009, 2001, 3262, 11943, 2029, 5881, 2105, 1999, 1996, 2927, 1998, 2719, 1996, 3006, 1012, 1028, 2096, 2027, 2089, 2031, 27978, 2098, 2007, 1005, 3423, 1005, 2189, 2004, 1037, 6599, 5460, 2027, 2145, 2031, 8052, 3006, 6661, 1999, 3617, 2189, 4353, 1010, 2027, 2031, 2318, 2000, 4558, 2598, 2000, 11058, 2578, 2066, 3962, 8757, 1998, 2189, 10873, 2633, 25357, 2000, 1996, 3617, 2287, 2021, 21358, 4886, 2243, 11943, 2001, 1998, 2145, 2003, 1037, 2350, 2447, 1999, 3617, 2189, 4353, 1012, 1066, 1066, 1066, 3881, 5302, 2140, 5121, 1012, 1045, 2359, 2000, 3073, 2070, 12369, 2000, 1996, 10949, 1997, 1996, 26322, 1013, 11943, 3663, 1012, 5875, 2135, 2004, 2017, 3264, 1028, 1037, 3232, 1997, 4257, 11657, 2578, 10538, 2039, 2077, 1013, 2105, 1996, 2168, 2051, 1010, 2021, 2122, 3262, 2357, 2041, 2000, 2022, 6206, 14927, 1010, 2061, 2009, 2001, 3262, 11943, 2029, 5881, 2105, 1999, 1996, 2927, 1998, 2719, 1996, 3006, 1012, 1045, 2228, 18108, 3112, 2012, 4526, 2023, 3006, 2001, 1037, 2011, 21572, 8566, 6593, 1997, 2009, 2108, 4636, 13665, 2389, 22778, 2005, 1996, 26322, 1005, 1055, 10514, 9623, 4757, 1012, 2302, 1996, 26322, 1010, 11943, 2052, 3497, 2031, 2908, 1996, 2168, 2126, 2004, 1996, 2717, 1997, 1996, 2220, 3423, 3617, 2189, 19041, 1012, 2302, 1996, 4598, 1997, 1037, 2312, 3074, 1997, 3262, 1005, 11304, 2094, 1005, 23378, 1005, 1055, 3564, 2006, 2188, 15363, 2015, 1998, 2436, 6125, 2408, 1996, 7595, 1010, 1996, 26322, 2763, 2052, 2025, 2031, 2579, 2125, 1012, 6207, 3024, 2307, 9710, 2005, 2216, 6407, 2011, 4855, 1996, 26322, 1012, 6207, 2069, 4780, 2018, 2151, 13500, 2000, 4352, 1996, 25180, 3238, 4651, 1013, 6631, 1997, 2972, 26322, 6407, 1997, 9385, 2098, 2189, 1010, 2077, 16228, 2009, 2052, 2022, 2172, 2062, 12776, 14778, 3512, 2000, 9979, 1996, 3653, 15985, 6651, 1997, 1005, 11304, 2094, 1005, 2189, 6407, 2011, 19920, 1999, 4007, 2000, 4550, 1004, 10939, 2009, 1010, 1998, 3722, 2000, 2224, 8051, 2008, 3084, 2009, 12109, 1012, 1066, 1066, 1066, 2489, 28968, 1028, 6207, 2069, 4780, 2018, 2151, 13500, 2000, 4352, 1996, 25180, 3238, 1028, 4651, 1013, 6631, 1997, 2972, 26322, 6407, 1997, 9385, 2098, 2189, 1010, 2077, 1028, 16228, 2009, 2052, 2022, 2172, 2062, 12776, 14778, 3512, 2000, 9979, 1996, 3653, 15985, 6651, 1997, 1028, 1005, 11304, 2094, 1005, 2189, 6407, 2011, 19920, 1999, 4007, 2000, 4550, 1004, 10939, 2009, 1010, 1028, 1998, 3722, 2000, 2224, 8051, 2008, 3084 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2012, 4749, 19481, 1010, 2002, 17749, 2002, 2987, 1521, 1056, 2031, 1996, 6309, 1012, 2010, 2388, 1010, 2310, 8189, 1010, 2040, 2924, 28402, 2098, 1996, 4825, 1010, 2018, 2579, 2068, 2028, 2851, 2044, 2016, 1998, 4825, 3095, 2939, 1999, 2006, 2014, 2365, 1998, 2048, 2308, 1999, 1996, 8721, 18640, 6891, 1012, 1037, 2305, 1997, 5948, 1998, 1996, 4319, 9618, 2018, 2357, 2046, 1037, 6248, 7540, 1011, 1998, 1011, 7358, 4283, 2000, 2039, 22299, 2098, 4825, 1011, 2946, 26536, 2015, 1997, 9724, 3514, 1012, 6683, 4509, 23178, 2015, 1996, 5299, 6634, 3347, 2341, 2330, 1010, 8840, 12868, 1996, 3647, 1998, 4933, 2015, 2010, 10306, 2007, 5356, 1012, 2002, 14444, 2668, 2006, 1996, 2723, 1998, 2035, 2058, 2010, 3797, 1012, 2010, 5413, 2003, 3975, 2898, 2330, 1012, 2002, 6762, 2012, 1037, 8945, 3207, 3654, 2006, 1996, 2126, 2067, 2000, 2010, 4545, 2000, 4965, 3565, 25238, 1010, 1037, 20578, 26929, 2224, 2000, 2485, 3806, 15689, 1010, 2644, 9524, 1998, 2562, 2551, 1012, 4748, 4748, 2012, 2010, 4545, 1010, 1996, 19215, 7126, 6683, 4509, 25238, 2010, 5413, 3844, 1012, 2002, 23442, 1998, 5235, 2041, 1012, 2043, 2002, 17507, 1010, 2016, 1998, 1996, 5356, 2024, 2908, 1012, 1037, 2733, 2101, 1010, 2310, 8189, 3138, 2014, 2365, 2006, 1037, 2176, 1011, 3178, 4333, 3298, 2000, 3552, 1998, 9010, 2032, 2125, 2012, 1037, 2654, 1011, 2154, 11252, 2565, 1012, 2176, 1011, 1998, 1011, 1037, 1011, 2431, 2086, 2101, 1010, 6683, 4509, 1010, 3943, 1010, 2003, 17358, 1998, 8617, 2093, 7884, 1010, 9457, 9457, 13020, 1998, 2577, 1521, 1055, 24494, 4580, 1999, 7014, 2229, 2850, 1998, 1037, 2117, 9457, 9457, 13020, 1999, 6222, 1012, 1999, 2281, 1010, 2002, 2001, 4778, 2000, 5660, 2012, 1996, 26150, 2508, 10154, 2160, 1999, 2047, 2259, 2103, 1998, 2106, 1010, 2074, 2077, 4234, 1012, 2044, 2383, 2366, 1037, 2274, 1011, 2607, 7954, 2008, 2443, 2240, 1011, 3236, 11085, 12322, 4904, 2007, 8040, 8095, 7361, 9587, 17854, 18809, 2063, 1998, 9808, 3388, 2527, 6187, 9035, 2099, 1010, 2002, 13686, 2005, 1037, 3861, 2849, 1999, 2849, 2007, 2010, 2388, 1010, 2002, 1999, 19532, 10026, 12461, 1010, 2016, 1999, 1037, 14726, 1010, 17796, 2135, 23590, 28799, 9610, 4246, 2239, 18906, 2072, 2058, 1037, 3212, 1011, 2630, 10966, 18149, 1012, 1037, 6533, 1997, 12696, 2508, 10154, 5112, 2369, 2068, 1012, 2005, 6683, 4509, 1010, 1037, 10103, 2018, 2468, 1037, 3959, 2272, 2995, 1012, 2339, 2425, 2010, 2466, 1029, 1523, 1045, 2215, 2005, 2619, 2000, 3191, 2009, 1998, 2360, 1010, 1520, 1045, 2031, 1037, 2767, 2040, 3791, 2000, 3191, 2023, 1010, 1521, 1524, 2002, 2056, 1012, 1523, 1045, 1521, 1049, 2025, 2019, 19169, 1011, 3412, 2711, 1010, 2021, 2065, 2045, 2347, 1521, 1056, 2619, 2559, 2041, 2005, 2033, 1010, 1045, 2876, 1521, 1056, 2022, 2182, 2157, 2085, 1012, 1524, 4748, 4748, 4319, 1998, 6544, 6905, 11629, 2015, 1996, 4825, 2449, 1012, 2429, 2000, 1996, 2325, 2120, 5002, 2006, 4319, 2224, 1998, 2740, 2013, 1996, 2533, 1997, 2740, 1998, 2529, 2578, 1010, 15961, 1998, 2833, 2326, 3667, 2018, 1996, 3284, 3446, 1997, 9415, 6905, 2426, 2035, 1996, 6088, 3273, 1010, 2012, 2385, 1012, 1023, 3867, 1012, 1996, 3446, 1997, 6544, 6905, 2001, 3020, 2069, 1999, 1996, 5471, 1998, 2810, 4249, 1012, 1996, 4037, 27828, 2007, 3314, 1998, 3454, 2107, 2004, 3841, 1521, 1055, 2814, 1998, 4825, 7233, 3073, 3647, 7258, 2005, 2111, 1999, 1996, 3068, 2000, 3066, 2007, 3314, 2008, 2763, 2031, 6147, 1999, 1996, 2627, 1012, 2004, 2007, 2116, 26855, 2015, 1010, 6683, 4509, 1521, 1055, 4990, 2211, 2077, 2002, 2001, 2141, 1012, 2010, 2388, 1010, 1037, 5066, 1011, 2154, 25696, 1010, 2001, 1037, 2934, 1999, 16920, 1010, 2634, 1012, 2738, 2084, 3961, 4333, 1999, 2019, 20676, 3510, 1010, 2016, 2288, 9196, 1010, 27505, 1999, 2634, 1012, 2016, 2036, 2211, 1037, 28592, 2007, 11948, 4509, 6152, 1010, 1037, 3076, 1998, 2014, 2353, 5542, 1012, 4748, 4748, 1523, 2026, 3428, 2409, 2033, 2200, 4415, 2008, 2057, 2079, 2025, 2031, 8179, 2015, 1999, 2256, 2155, 1010, 1524, 2758, 2310, 8189, 1012, 1523, 2054, 3601, 2106, 1045, 2031, 1029, 1045, 2234, 2000, 2637, 1012, 1524, 2016, 3876, 1999, 3165, 3500, 1999, 3196, 1010, 6595, 2007, 2019, 2137, 2450, 2016, 2354, 2013, 2634, 1012, 2016, 2018, 2416, 15940, 2015, 1010, 2164, 9705, 21030, 3215, 1998, 1037, 20452, 1010, 1002, 1015, 1010, 5174, 1006, 1996, 4555, 1996, 2142, 2163, 3039, 1007, 1998, 2048, 3337, 1010, 8683, 2260, 1010, 1998, 2577, 1010, 1020, 1010, 2000, 5333, 1012, 11948, 4509, 3740, 2000, 3582, 2320, 2002, 2071, 2131, 1037, 9425, 1012, 2019, 7521, 5160, 2165, 1002, 5385, 2000, 6611, 2005, 2014, 1044, 2487, 9425, 1012, 2416, 2706, 2101, 1010, 2016, 2363, 1037, 3661, 3038, 2014, 10367, 9425, 2018, 13735, 1012, 1996, 5160, 2018, 2196, 6406, 2014, 4981, 1012, 2738, 2084, 2709, 2000, 2634, 1998, 2085, 2007, 13735, 5491, 1010, 2016, 2165, 1037, 3105, 2007, 1996, 5160, 1517, 1998, 1037, 2117, 3105, 2012, 1037, 3026, 2729, 4322, 1012, 11948, 4509, 3369, 1999, 3118, 1998, 2218, 1037, 5164, 1997, 5841, 1010, 2096, 4363, 2010, 5948, 17620, 2229, 2104, 19735, 1025, 4895, 24597, 19779, 2078, 2000, 2310, 8189, 1010, 2002, 2018, 2468, 1037, 5729, 14813, 1012, 2027, 2496, 1998, 4149, 1037, 20910, 27585, 1999, 3106, 1012, 6683, 4509, 2001, 2141, 1999, 3069, 1012, 4748, 4748, 1998, 2061, 2010, 13460, 2211, 1012, 1999, 2960, 1010, 11948, 4509, 2018, 2093, 4241, 2483, 1010, 2164, 2028, 21798, 1996, 2482, 1010, 2007, 2577, 2503, 1012, 2002, 2052, 2681, 2005, 2146, 6993, 1010, 2059, 2709, 14477, 10695, 23709, 11788, 1012, 1523, 1045, 2001, 5189, 1998, 6355, 1012, 1031, 2310, 8189, 1033, 2018, 1037, 3232, 1997, 4178, 2073, 2016, 2018, 2000, 2175, 2046, 1037, 7713, 2007, 1996, 3337, 1012, 2045, 2020, 7167, 1997, 25380, 1010, 23161, 1010, 1524, 11948, 4509, 2758, 1012, 1523, 2043, 6683, 4509, 2001, 1016, 1092, 1010, 2002, 2234, 13003, 2046, 2256, 2282, 1998, 13605, 2006, 2026, 3108, 1012, 1045, 2001, 2431, 6680, 1010, 5112, 2058, 1012, 1045, 4046, 2032, 2011, 2010, 4065, 1998, 3724, 2032, 2091, 2524, 1010, 1998, 2010, 10768, 20136, 10909, 1012, 1524, 1996, 6441, 2404, 6683, 4509, 1999, 1037, 2303, 3459, 2005, 2706, 1012, 1523, 1045, 4033, 1521, 1056, 2130, 5625, 2000, 2228, 2055, 2129, 1045, 2064, 3198, 17213, 2005, 2023, 1012, 1524, 6683, 4509, 2134, 1521, 1056, 2113, 1996, 3606, 2055, 1996, 5043, 2127, 2010, 9454, 2086, 1012, 1523, 1045, 2001, 2409, 1045, 2018, 5357, 2091, 1996, 4084, 1010, 1524, 2002, 2758, 1012, 2310, 8189, 2288, 1037, 2665, 4003, 1999, 2889, 1998, 2165, 1999, 2093, 6469, 2336, 2007, 13597, 2000, 2393, 5333, 1996, 2769, 2000, 2179, 2054, 2052, 2468, 1037, 4677, 1997, 6152, 4580, 7197, 1011, 2542, 4128, 1010, 3225, 1999, 2600, 3077, 1012, 1006, 2045, 2024, 2085, 3157, 1012, 1007, 1999, 2786, 1010, 2016, 4149, 1037, 2160, 1999, 4315, 3702, 1012, 8683, 1010, 2040, 2036, 6915, 2007, 6544, 1010, 2018, 2146, 2333, 2041, 1025, 2577, 2001, 1999, 2662, 2005, 2267, 1012, 4748, 4748, 1523, 2008, 1521, 1055, 2073, 6683, 4509, 3473, 2039, 1010, 2073, 2002, 2387, 1996, 5409, 1997, 2010, 2269, 1010, 2073, 2002, 2170, 19989, 2006, 2032, 2138, 2002, 2001, 6886, 2477, 2012, 2033, 1998, 8273, 7741, 2033, 1010, 1524, 2310, 8189, 2056, 1012, 2082, 3024, 2053, 24501, 23270, 2063, 1012, 1999, 2959, 3694, 1010, 2012, 7084, 3077, 25696, 2914, 1999, 18000, 3077, 1010, 2002, 2134, 1521, 1056, 4906, 1999, 1998, 2001, 7087, 6340, 1012, 2002, 3030, 2725, 19453, 1012, 1999, 5964, 3694, 1010, 2002, 2001, 9343, 8962, 1010, 11065, 13207, 1998, 5948, 2035, 2154, 1012, 2002, 28719, 2046, 2010, 3836, 1521, 1055, 3274, 2000, 2689, 1037, 3694, 1998, 2288, 6731, 1012, 1999, 6619, 3694, 1010, 2002, 2288, 6476, 2041, 1010, 15192, 1996, 3694, 2012, 1996, 2270, 23848, 28121, 2121, 2152, 2082, 1999, 2600, 3077, 1012, 1523, 1045, 2081, 2814, 2007, 2070, 2613, 12290, 2045, 1010, 1524, 2002, 2758, 1012, 1523, 2008, 1521, 1055, 2043, 2009, 13886, 2008, 1996, 2062, 1045, 10749, 1010, 1996, 2062, 5850, 1045, 2106, 1010, 1996, 2062, 9590, 1045, 2288, 1999, 1010, 1996, 2062, 2759, 1045, 2001, 1012, 1524, 4748, 2010, 2269, 2001, 1999, 1998, 2041, 1997, 2010, 2166, 1012, 2310, 8189, 9196, 11948, 4509, 1999, 2541, 1010, 2128, 7849, 2854, 2075, 2032, 1999, 2294, 1010, 1998, 2076, 2010, 17620, 2229, 2016, 2052, 4604, 6683, 4509, 2000, 2191, 2469, 2002, 2910, 1521, 1056, 5296, 2010, 4545, 2091, 2007, 1037, 9907, 2030, 2979, 2041, 1998, 2718, 2010, 2132, 1012, 1523, 1045, 3030, 2108, 1037, 4845, 2096, 1045, 2001, 2145, 1037, 4845, 1010, 1524, 6683, 4509, 2758, 1012, 4748, 2002, 2499, 2536, 5841, 1010, 2164, 2012, 29500, 1010, 2073, 2002, 2288, 5045, 2005, 11065, 1002, 2753, 2000, 4965, 19069, 1012, 2011, 2538, 1010, 2002, 2001, 1037, 21722, 3677, 2012, 1037, 10170, 1521, 1055, 2252, 1999, 6222, 1998, 19018, 2005, 5850, 2005, 6368, 1012, 2010, 22017, 4371, 1998, 16034, 10427, 13212, 2098, 1012, 2010, 2388, 6476, 2032, 2041, 1010, 2059, 2061, 2106, 1037, 6513, 2002, 4370, 2007, 1010, 2059, 1996, 2814, 2040, 2292, 2032, 6411, 14175, 1012, 1523, 1045, 5296, 2296, 2958, 1010, 12232, 3071, 2769, 1998, 2253, 2188, 2007, 2026, 5725, 2090, 2026, 3456, 1010, 1524, 2002, 2758, 1012, 2002, 2985, 2010, 2420, 3666, 2833, 2897, 1010, 2073, 2002, 3236, 1996, 8434, 11829, 1012, 1999, 2263, 1010, 2002, 2081, 1037, 22689, 15060, 4596, 2005, 2010, 2388, 2000, 13984, 2014, 2000, 3477, 2005, 2032, 2000, 2175, 2000, 1996, 2413, 20560, 2820, 1999, 2047, 2259, 1012, 2016, 2354, 2002, 2074, 2359, 2000, 2131, 2041, 1997, 5374, 1010, 1998, 2016, 8615, 5850, 2052, 3102, 2032, 1010, 2021, 2016, 3825, 1996, 1002, 2871, 1010, 2199, 1011, 4606, 15413, 4606, 9278, 1010, 1998, 2292, 2032, 2175, 1012, 4748, 4748, 1996, 2154, 2077, 2002, 2001, 4011, 2000, 2175, 2000, 2047, 2259, 1998, 3696, 2019, 4545, 10084, 1010, 2002, 8682, 3210, 1997, 14492, 2127, 1018, 1037, 1012, 1049, 1012, 2002, 2165, 1996, 3345, 2039, 1010, 2772, 1996, 10084, 1010, 2979, 2041, 2006, 1996, 2723, 1997, 1996, 4895, 27942, 28357, 4545, 1998, 2234, 2067, 2188, 1012, 2320, 2012, 1996, 4429, 2072, 1010, 2002, 23081, 1012, 1996, 2565, 2443, 2551, 2005, 1996, 2082, 1521, 1055, 1999, 1011, 2160, 4825, 1010, 2073, 1037, 3520, 8820, 1011, 2066, 10439, 20624, 6290, 2002, 2580, 2081, 2009, 2006, 1996, 6265, 12183, 1010, 2019, 3932, 1012, 2310, 8189, 2001, 7098, 1010, 2750, 3451, 28616, 23795, 2015, 1012, 1523, 13367, 1010, 27828, 2031, 2307, 14653, 1010, 2021, 2065, 2026, 5615, 2387, 2023, 1010, 2026, 2269, 1010, 2027, 2052, 27874, 1010, 2138, 1045, 2272, 2013, 1996, 6996, 2465, 1999, 2634, 1010, 2073, 2027, 2031, 2037, 2219, 26051, 1998, 27828, 1010, 1524, 2016, 2056, 1012, 1523, 2021, 2138, 2026, 2365, 2001, 3407, 1010, 1045, 2001, 3407, 1012, 1524, 4748, 6683, 4509, 2499, 1999, 7884, 2105, 2047, 2259, 1010, 2107, 2004, 16962, 18259, 1010, 11320, 4502, 9808, 3334, 2401, 3142, 2050, 1998, 3347, 15091, 2072, 1012, 27828, 2409, 2032, 2002, 2071, 2175, 2521, 2065, 2002, 2404, 2010, 7942, 2369, 2032, 1012, 2612, 1010, 2002, 2112, 6340, 2006, 1010, 2823, 4394, 2147, 1998, 2893, 5045, 1012, 2002, 2853, 14492, 1012, 2006, 2048, 9109, 2188, 2000, 2156, 2010, 3008, 1010, 2002, 2001, 4727, 2005, 4241, 2483, 1012, 4748, 2002, 2513, 2000, 5374, 1999, 2262, 1010, 2073, 1996, 4749, 19481, 2686, 1999, 7014, 2229, 2850, 2018, 2468, 2800, 1012, 2310, 8189, 2853, 1037, 3200, 2000, 5446, 1996, 2449, 1012, 2016, 2354, 2008, 6683, 4509, 2001, 2145, 5948, 1517, 2002, 2052, 10436, 2005, 2420, 2012, 1037, 2051, 1517, 2021, 2025, 2008, 19690, 2018, 3133, 1996, 3861, 1012, 1523, 1045, 4669, 1996, 2801, 2008, 1045, 2071, 3280, 2013, 2009, 1010, 1524, 2002, 2758, 1012, 1523, 2008, 2790, 2066, 1037, 6625, 2331, 1012, 1524, 1996, 2190, 1011, 2553, 11967, 1010, 2004, 2002, 2387, 2009, 1010, 2001, 2008, 2002, 2052, 2131, 1037, 2204, 12610, 1025, 1996, 5409, 1011, 2553, 1010, 2008, 2002, 2876, 1521, 1056, 5256, 2039, 1012, 1523, 1045, 2134, 1521, 1056, 2079, 2009, 2000, 1996, 2391, 2073, 1045, 1521, 1040, 2131, 5305, 2065, 1045, 2134, 1521, 1056, 2031, 2009, 1012, 2065, 2009, 2347, 1521, 1056, 2079, 5051, 1010, 2009, 2001, 1031, 23060, 2100, 3597, 5280, 2063, 1033, 1517, 3649, 1045, 2071, 2131, 2026, 2398, 2006, 1012, 1045, 2001, 2725, 2061, 2172, 6271, 1010, 1996, 23060, 2100, 2052, 2130, 2033, 2041, 1010, 2111, 2056, 1012, 1998, 2009, 2499, 1012, 1524, 2009, 2134, 1521, 1056, 2147, 1012, 2028, 2154, 1999, 2297, 1010, 2310, 8189, 2435, 6683, 4509, 2019, 29227, 1012, 1523, 1045, 2409, 2026, 2365, 1010, 1520, 2065, 2017, 2024, 5627, 2000, 2175, 2046, 24497, 1010, 1045, 2572, 2007, 2017, 1012, 1045, 2097, 3477, 2005 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6160, 2000, 1996, 9152, 20845, 5638, 2243, 27902, 1004, 3806, 8873, 13027, 5009, 1010, 2115, 2334, 5009, 2000, 27902, 1004, 3806, 8873, 13027, 1999, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 1012, 1996, 9152, 20845, 5638, 2243, 27902, 1004, 3806, 8873, 13027, 5009, 7545, 2362, 2592, 2013, 1037, 2898, 2846, 1997, 4216, 2000, 2191, 2009, 3733, 2005, 2017, 2000, 2424, 2054, 2017, 1005, 2128, 2559, 2005, 1012, 2511, 1999, 2857, 1998, 2241, 1999, 2470, 1010, 3154, 2300, 27902, 1998, 3806, 11414, 2003, 3079, 1998, 3498, 2011, 4079, 25570, 1010, 1037, 2969, 1011, 4846, 22088, 5677, 2040, 2038, 2973, 1999, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 2005, 2058, 2423, 2086, 1012, 4079, 2003, 1037, 7000, 22088, 5677, 1998, 3806, 4906, 3334, 2007, 2058, 2403, 2086, 1997, 3325, 2040, 2003, 4591, 22677, 23277, 4710, 2003, 1037, 2334, 14279, 2386, 2007, 2058, 2382, 2086, 1997, 11532, 1999, 1996, 27902, 3068, 1010, 2040, 2038, 12427, 1999, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 2005, 2058, 2423, 2086, 1012, 6609, 2003, 7000, 1999, 2035, 5919, 1997, 2236, 27902, 1010, 2164, 3806, 11414, 1010, 6228, 2578, 1010, 4412, 2075, 1010, 4040, 2300, 1010, 25480, 1010, 2300, 4425, 1998, 11987, 2198, 9574, 5748, 12849, 23344, 2618, 27902, 2578, 13866, 2100, 1012, 5183, 1010, 1037, 27905, 8953, 2241, 5502, 1010, 2511, 1999, 3055, 1010, 1998, 26804, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 1012, 2198, 2038, 2058, 2538, 2086, 1997, 3325, 1999, 1996, 3068, 1998, 2003, 7000, 1999, 2035, 5919, 1997, 27902, 1012, 1055, 1012, 1037, 1012, 7380, 27902, 2001, 2511, 1999, 2826, 1012, 3660, 2003, 4591, 1999, 1010, 1998, 4107, 2035, 2236, 27902, 2578, 2164, 4412, 27902, 1010, 6032, 1997, 2980, 2300, 1998, 3806, 2578, 1010, 1998, 25480, 11987, 2005, 2119, 3293, 1998, 5647, 5144, 1012, 2002, 2569, 13087, 1999, 8430, 8534, 18916, 1012, 9779, 25547, 2063, 27902, 2003, 1037, 2155, 8048, 2449, 5462, 2000, 4346, 2019, 8114, 1010, 10539, 1998, 2457, 14769, 2326, 2000, 1996, 2270, 1012, 18072, 2884, 23268, 2121, 2003, 1037, 3929, 7000, 22088, 5677, 1998, 3806, 4906, 3334, 2007, 2058, 2656, 2086, 1997, 3325, 2040, 2578, 3293, 1010, 3919, 1998, 5647, 5144, 1010, 23315, 1999, 6032, 8311, 1998, 2152, 3778, 2300, 9344, 1997, 18916, 2035, 2335, 27902, 2569, 13087, 1999, 1996, 8272, 1010, 6032, 1998, 7192, 1997, 3806, 22449, 2004, 2092, 2004, 4346, 2578, 8800, 2000, 25480, 1998, 2300, 4425, 1010, 18916, 1010, 22365, 2015, 1010, 11867, 5833, 2075, 1010, 4412, 2075, 1998, 23245, 11414, 1012, 1037, 12541, 27902, 2003, 3079, 1998, 3498, 2011, 7638, 26261, 11705, 1010, 26804, 2119, 3293, 1998, 5647, 5144, 2306, 1996, 9152, 20845, 5638, 2243, 13182, 1012, 2578, 2421, 8272, 1998, 2326, 1997, 2035, 3806, 22449, 1010, 2164, 3806, 1998, 3751, 2980, 2300, 2326, 1998, 16247, 2689, 24302, 1010, 8430, 1997, 8534, 22365, 2015, 1998, 2917, 2598, 11987, 2573, 1010, 7192, 1997, 6532, 12432, 1010, 11112, 2128, 1011, 9378, 7999, 1010, 4412, 10315, 6697, 27902, 1998, 3806, 2578, 2038, 2042, 1037, 22088, 17198, 2005, 2459, 2086, 1012, 2256, 3811, 2764, 4813, 1010, 9783, 2083, 2035, 2227, 3215, 1997, 27902, 1998, 3806, 6032, 1012, 2061, 13459, 2055, 2010, 29536, 10719, 1010, 2002, 2038, 2468, 1037, 2266, 1997, 1996, 3040, 22088, 17198, 2523, 1010, 7052, 1037, 2898, 2846, 1997, 17239, 2000, 11598, 2010, 3716, 1012, 1045, 2572, 2036, 1037, 25936, 2980, 2300, 5394, 1012, 1996, 2334, 22088, 17198, 1997, 4202, 1998, 4124, 27902, 2031, 2058, 2423, 2086, 1997, 3325, 1999, 1996, 5647, 1998, 3293, 11105, 4346, 6020, 1998, 3806, 8873, 13027, 2578, 1012, 2057, 2031, 2042, 2551, 2007, 2188, 7620, 3316, 1010, 8160, 1010, 16472, 1998, 2188, 5608, 2005, 2035, 2037, 27902, 3791, 1012, 2256, 3289, 2024, 2000, 4503, 1037, 2146, 9879, 6550, 2007, 2256, 7846, 2241, 2006, 3404, 1010, 16718, 1010, 15258, 1998, 9967, 1012, 2053, 3105, 2003, 2205, 2502, 2030, 2205, 2235, 2005, 2149, 1012, 26804, 3614, 3702, 1010, 21838, 1010, 2123, 17479, 1998, 4193, 9435, 1012, 22088, 5677, 6683, 8569, 11715, 1011, 2115, 2334, 22088, 5677, 1999, 6683, 8569, 11715, 1998, 4193, 2752, 1012, 2057, 2024, 5379, 1998, 6987, 8048, 1012, 2007, 22088, 5677, 6683, 8569, 11715, 2017, 2064, 2467, 5987, 1996, 10418, 3737, 1998, 6739, 2147, 21530, 2013, 1996, 10418, 27902, 20202, 6683, 8569, 11715, 2038, 2000, 3749, 1012, 6160, 2000, 4895, 12322, 15422, 27902, 1011, 2115, 2334, 22088, 5677, 1999, 25149, 2057, 2024, 3929, 7000, 22088, 17198, 2008, 2024, 2241, 1999, 1996, 2642, 9435, 1998, 2147, 1999, 2035, 2752, 1997, 4940, 1012, 2057, 2024, 2372, 1997, 3040, 22088, 17198, 1998, 6228, 2578, 2523, 1998, 2031, 2035, 1996, 11459, 16928, 2740, 1998, 3808, 5329, 1012, 2057, 2569, 5562, 1999, 2116, 4127, 1997, 4412, 2075, 1010, 3806, 11414, 1010, 15576, 1010, 2047, 2810, 1010, 6032, 1997, 3806, 22449, 1998, 2980, 1998, 3147, 2300, 14111, 1012, 4202, 1004, 4124, 27902, 1010, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2057, 2326, 2087, 2752, 1997, 4940, 1998, 2064, 23488, 2005, 2115, 3791, 2484, 2847, 1037, 2154, 1010, 1021, 2420, 1037, 2733, 1012, 6160, 2000, 22378, 27902, 2342, 5057, 22088, 5677, 1999, 8839, 1029, 2655, 19527, 22378, 1006, 19527, 5824, 2549, 5594, 2620, 1007, 2057, 1005, 2128, 2006, 2051, 1010, 2296, 2051, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 28352, 11761, 2059, 2655, 2149, 2651, 28352, 11761, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 11503, 5677, 4381, 2059, 2655, 2149, 2651, 1012, 4202, 1004, 4124, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 7332, 14490, 2059, 2655, 2149, 2651, 1012, 4202, 1004, 4124, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 17710, 2860, 2059, 2655, 2149, 2651, 1012, 4202, 1004, 4124, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5448, 3843, 2244, 2340, 1010, 2494, 1999, 1996, 2457, 1997, 9023, 2005, 1996, 2034, 2212, 1997, 3146, 2053, 1012, 5890, 1011, 6185, 1011, 25604, 2692, 2575, 1011, 26226, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 12997, 11540, 2194, 1010, 4297, 1012, 1010, 10439, 24178, 1058, 1012, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 1025, 2585, 1048, 1012, 11030, 1010, 14258, 1998, 2004, 8911, 1997, 1996, 3776, 1997, 10360, 11030, 1025, 2928, 8040, 6806, 9626, 5484, 1025, 4869, 8040, 6806, 9626, 5484, 1025, 12220, 14461, 1025, 1998, 3235, 8109, 1010, 10439, 14774, 2229, 1008, 1008, 1008, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 1025, 2585, 1048, 1012, 11030, 1010, 14258, 1998, 2004, 8911, 1997, 1996, 3776, 1997, 10360, 11030, 1025, 2928, 8040, 6806, 9626, 5484, 1025, 4869, 8040, 6806, 9626, 5484, 1025, 12220, 14461, 1025, 1998, 3235, 8109, 1010, 10439, 24178, 2015, 1058, 1012, 12997, 11540, 2194, 1010, 4297, 1012, 1010, 10439, 14774, 2063, 2006, 5574, 2013, 1996, 14378, 2705, 2212, 2457, 5671, 2221, 1010, 3146, 3979, 2457, 3426, 2053, 1012, 5585, 1011, 22343, 16086, 5448, 2006, 2128, 26560, 2075, 2057, 10632, 2256, 5448, 1997, 2089, 1022, 1010, 2494, 1998, 3277, 1996, 2206, 1999, 2049, 26261, 4215, 1012, 1996, 23953, 4367, 2005, 2128, 26560, 2075, 2003, 6380, 1012, 1037, 6467, 2179, 2008, 12997, 11540, 2194, 1010, 4297, 1012, 1010, 10439, 24178, 1010, 2001, 7977, 2135, 11265, 25394, 11461, 2043, 2009, 25769, 2049, 3206, 2007, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 1025, 2585, 1048, 1012, 11030, 1010, 14258, 1998, 2004, 8911, 1997, 1996, 3776, 1997, 10360, 11030, 1025, 2928, 8040, 6806, 9626, 5484, 1025, 4869, 8040, 6806, 9626, 5484, 1025, 12220, 14461, 1025, 1998, 3235, 8109, 1006, 13643, 1010, 1523, 1996, 23953, 1524, 1007, 1012, 1999, 2340, 2685, 1997, 7561, 1010, 12997, 9251, 2008, 2009, 2106, 2025, 12510, 1996, 3206, 1998, 1996, 2400, 1997, 2439, 11372, 1998, 16214, 1521, 9883, 2001, 24156, 1012, 1996, 23953, 5574, 1996, 3979, 2457, 1521, 1055, 13948, 2000, 2400, 3653, 9103, 2094, 21693, 4765, 3037, 2006, 11850, 3171, 12394, 1012, 2057, 7901, 1998, 17552, 8689, 2008, 1996, 23953, 2202, 2498, 1012, 25854, 1998, 24508, 4281, 1996, 17710, 5521, 2015, 3399, 1999, 2857, 1010, 2852, 1012, 2123, 17840, 3191, 1037, 4045, 3720, 1999, 2019, 3277, 1997, 1037, 2658, 2523, 13146, 1012, 1996, 3720, 1010, 4709, 1523, 10556, 12096, 1011, 4758, 8071, 21770, 10624, 6914, 20175, 2100, 1999, 9155, 4645, 2121, 2177, 26427, 2015, 1997, 2225, 3146, 1010, 1524, 2001, 2517, 2011, 1037, 21334, 1010, 2798, 17710, 5521, 2015, 1012, 2009, 3818, 2019, 23693, 2047, 3921, 2000, 15827, 2005, 3514, 1999, 2225, 3146, 1012, 1996, 3720, 2001, 2241, 2006, 1037, 3399, 1997, 1523, 10556, 12096, 2075, 1010, 1524, 2030, 5430, 4195, 1010, 1999, 1996, 9155, 4645, 2121, 4195, 1999, 2225, 3146, 1012, 2429, 2000, 1996, 17710, 5521, 2015, 3399, 1010, 8817, 1997, 2086, 3283, 1010, 10614, 2020, 2719, 1999, 2225, 3146, 1998, 2020, 3254, 3561, 2007, 19671, 1012, 2058, 2051, 1010, 2047, 2600, 2001, 2719, 2006, 2327, 1997, 1996, 10614, 1010, 22724, 1996, 15753, 1997, 1996, 10614, 1998, 3254, 20491, 1996, 7798, 10614, 2521, 2917, 1996, 3302, 1012, 17710, 5521, 2015, 14833, 18425, 2008, 1996, 3950, 1010, 7798, 10614, 2580, 2093, 5664, 22913, 1999, 1996, 9155, 4645, 2121, 4195, 1517, 1037, 1523, 5430, 4412, 1524, 4224, 1010, 1037, 1523, 5430, 6039, 1524, 4224, 1010, 1998, 1037, 1523, 5430, 2723, 1524, 4224, 1012, 2119, 1996, 5430, 4412, 1998, 5430, 2723, 10019, 5383, 3514, 1010, 17710, 5521, 2015, 26084, 1010, 2021, 4493, 7051, 2018, 10410, 2069, 1996, 3514, 1999, 1996, 5430, 4412, 4224, 1012, 2429, 2000, 17710, 5521, 2015, 1010, 2065, 3514, 7051, 2020, 24311, 6748, 2046, 1996, 9155, 4645, 2121, 4195, 1010, 2083, 1996, 5430, 4412, 4224, 1998, 1996, 4895, 21572, 26638, 5430, 6039, 4224, 1010, 2216, 7051, 2453, 3965, 3514, 2065, 2027, 10410, 2046, 1037, 13318, 2181, 1997, 1996, 5430, 2723, 4224, 1012, 1996, 17710, 5521, 2015, 3399, 4417, 1037, 3278, 6712, 2013, 1996, 7511, 3921, 2000, 15827, 1999, 1996, 9155, 4645, 2121, 4195, 1012, 1996, 7511, 3921, 1010, 2124, 2004, 1996, 1523, 11969, 1998, 27907, 1524, 4118, 1010, 2001, 2000, 12913, 2069, 2000, 1996, 2200, 2327, 1997, 2054, 17710, 5521, 2015, 2170, 1996, 5430, 4412, 4224, 1998, 10668, 8747, 2125, 2151, 3514, 1012, 1996, 5142, 2001, 2008, 2065, 1037, 2092, 2001, 24311, 2151, 6748, 1010, 2009, 2052, 2022, 1999, 18426, 3064, 2011, 1037, 4224, 1997, 2300, 1012, 1996, 4971, 4232, 1041, 1011, 1016, 2092, 2852, 1012, 17840, 2787, 2000, 3231, 1996, 17710, 5521, 2015, 3399, 2006, 1996, 4971, 4232, 1041, 1011, 1016, 2092, 1999, 1996, 7279, 4381, 2492, 1999, 14925, 4263, 2221, 1012, 1999, 3982, 1010, 8109, 11540, 2194, 2018, 24311, 1996, 4971, 4232, 1041, 1011, 1016, 2000, 1037, 2561, 5995, 1997, 6564, 8889, 2519, 1517, 2074, 1037, 2261, 3634, 2519, 2460, 1997, 2073, 17710, 5521, 2015, 14833, 18425, 1996, 3514, 1011, 4138, 5430, 2723, 4224, 2453, 2022, 2179, 1012, 2852, 1012, 17840, 3373, 2008, 1996, 4971, 4232, 1041, 1011, 1016, 3591, 2019, 4495, 2000, 3231, 1996, 17710, 5521, 2015, 3399, 2012, 4659, 2659, 3465, 1012, 8109, 6472, 1037, 1523, 3888, 5833, 3820, 1524, 2007, 2852, 1012, 17840, 1010, 4352, 2032, 2000, 2784, 2368, 1996, 2092, 1012, 1996, 9387, 2852, 1012, 17840, 5411, 2957, 20726, 1010, 1996, 3954, 1997, 6044, 3514, 2194, 1012, 1996, 2048, 2273, 2018, 3130, 2499, 2362, 2006, 2195, 3934, 1012, 6044, 3514, 3825, 17840, 1002, 2871, 1010, 2199, 1010, 1998, 20726, 3530, 2000, 2031, 6044, 3514, 2424, 9387, 1999, 3863, 2005, 1037, 2176, 3867, 2058, 21930, 16664, 3037, 1012, 6044, 3514, 2106, 2025, 2031, 2000, 3477, 2151, 1997, 1996, 15827, 5366, 1010, 2021, 2052, 4374, 2176, 3867, 1997, 1996, 11372, 1012, 1996, 10319, 4475, 6044, 3514, 2741, 2000, 17464, 9387, 5393, 2008, 1523, 2023, 2003, 1037, 3748, 11266, 3231, 1012, 1524, 1996, 4475, 2036, 5393, 2008, 1523, 6228, 3891, 2003, 2556, 1999, 2128, 1011, 10445, 1012, 1524, 2023, 3891, 19380, 2001, 2081, 2138, 1996, 4971, 4232, 1041, 1011, 1016, 2018, 2042, 4704, 2005, 2753, 2086, 1998, 2009, 2001, 5263, 2000, 16014, 2129, 6649, 1996, 2092, 2018, 20111, 1012, 3581, 9574, 1010, 1996, 6605, 2266, 1997, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 2018, 11241, 2007, 20726, 1999, 1996, 2627, 1010, 1998, 9574, 2787, 2008, 2057, 6212, 3597, 2052, 15697, 1999, 1996, 4971, 4232, 1041, 1011, 1016, 1012, 9574, 1521, 1055, 17907, 1010, 2585, 11030, 1010, 2036, 11241, 1010, 2004, 2106, 2195, 1997, 11030, 1521, 1055, 2814, 1998, 2155, 2372, 1012, 4989, 1997, 12997, 11540, 17840, 1010, 20726, 1010, 1998, 9574, 4900, 12997, 2004, 1996, 6872, 1997, 1996, 2092, 1012, 17840, 3591, 1996, 6378, 2000, 2852, 1012, 3505, 12411, 7033, 1010, 1037, 2622, 21334, 2012, 12997, 1012, 2852, 1012, 12411, 7033, 8182, 1996, 10319, 4475, 1998, 2179, 2028, 6251, 1999, 1996, 14017, 28775, 12516, 3661, 2000, 2022, 1997, 3327, 3037, 1517, 1523, 2060, 2084, 2005, 6346, 2075, 1010, 1996, 5430, 4412, 2003, 2245, 2000, 2022, 16286, 7142, 2408, 1037, 2492, 1010, 2096, 1996, 5430, 2723, 10019, 2024, 2062, 21770, 10624, 6914, 14769, 2172, 2066, 2566, 20924, 2287, 2600, 1012, 1524, 2852, 1012, 12411, 7033, 14914, 2008, 2002, 5319, 2023, 2000, 2812, 2008, 2065, 1996, 5430, 2723, 4838, 2151, 3514, 2012, 2035, 1010, 2009, 2453, 2022, 13318, 1999, 2070, 2752, 2021, 4895, 21572, 26638, 1999, 2500, 1012, 2002, 4358, 2008, 1996, 9592, 1997, 3112, 2005, 1996, 4971, 4232, 1041, 1011, 1016, 2020, 2028, 1999, 2702, 1010, 2030, 4298, 2028, 1999, 2274, 1012, 3660, 2512, 14586, 1010, 2019, 3992, 1010, 4146, 1037, 11540, 3330, 4106, 2006, 1996, 2092, 1012, 2512, 14586, 1521, 1055, 2192, 15773, 3964, 5769, 1024, 1523, 1008, 3953, 2240, 1011, 2123, 1521, 1056, 2031, 2151, 2537, 2951, 4276, 1037, 11238, 1012, 1012, 1012, 1012, 2023, 2003, 1037, 3748, 11266, 2025, 3569, 2011, 2537, 2951, 2021, 3891, 2000, 10377, 2003, 2200, 2152, 1012, 15264, 1031, 14387, 1033, 2659, 3465, 2000, 2079, 2128, 4765, 2854, 1012, 1524, 12997, 3530, 2000, 5589, 1010, 1998, 12997, 1998, 6044, 3514, 2772, 1037, 6577, 3661, 3820, 2008, 2649, 1996, 7863, 1997, 1996, 2622, 2000, 1523, 2784, 2368, 1996, 8109, 11540, 4971, 4232, 1041, 1001, 1016, 2013, 2049, 2783, 14595, 1997, 6564, 23833, 1005, 2000, 1009, 1013, 1011, 7706, 2692, 1005, 2000, 3231, 1996, 9155, 4645, 2121, 5430, 2723, 4224, 1012, 1524, 12997, 2036, 3530, 2000, 3477, 2753, 3867, 1997, 1996, 15827, 5366, 1010, 1999, 3863, 2005, 1037, 2753, 3867, 3745, 1997, 1996, 11372, 2065, 1996, 2622, 2020, 2000, 9510, 1012, 1996, 4101, 4082, 3820, 2077, 15827, 2211, 1010, 6044, 3514, 1010, 12997, 1010, 1998, 2035, 1996, 9387, 6472, 1037, 7721, 4101, 4082, 3820, 1006, 8183, 2050, 1007, 1012, 1996, 8183, 2050, 2003, 1037, 2433, 3206, 20877, 5313, 11644, 2011, 1996, 2137, 2523, 1997, 11540, 2455, 3549, 1998, 2003, 2109, 2802, 1996, 3068, 1012, 1996, 2048, 8910, 1997, 1996, 8183, 2050, 2008, 2024, 2012, 3277, 1999, 2023, 2553, 3073, 2004, 4076, 1024, 1031, 12997, 1010, 2004, 1996, 6872, 2052, 1033, 3613, 1996, 15827, 1997, 1996, 2092, 2007, 2349, 29454, 29206, 3401, 2000, 1037, 5995, 1997, 6205, 17788, 1005, 2917, 1996, 3302, 1997, 1996, 2598, 2030, 1037, 5995, 7182, 2000, 3231, 1996, 2896, 9155, 4645, 2121, 4195, 1010, 29221, 2003, 8276, 1010, 4983, 9753, 2030, 2060, 8134, 17727, 8625, 6494, 3468, 9415, 2030, 4650, 1999, 1996, 4920, 1010, 2029, 17552, 2015, 2582, 15827, 17727, 22648, 14656, 1010, 2003, 8567, 2012, 1037, 8276, 5995, 1010, 2030, 4983, 2035, 4243, 5993, 2000, 3143, 2030, 10824, 1996, 2092, 2012, 1037, 8276, 5995, 1012, 1012, 1012, 1012, 1012, 1031, 12997, 1033, 4618, 2031, 2053, 14000, 2004, 6872, 2000, 1996, 2060, 4243, 2005, 6409, 8760, 2030, 22393, 14680, 22667, 1010, 3272, 2107, 2004, 2089, 2765, 2013, 7977, 27988, 2030, 2097, 3993, 23337, 1012, 1996, 15827, 2006, 2285, 1017, 1010, 2722, 1010, 12997, 2211, 15827, 1996, 4971, 4232, 1041, 1011, 1016, 1010, 1998, 1010, 2004, 7420, 1999, 1996, 10319, 4475, 1010, 12997, 8567, 6228, 8190, 2008, 4821, 3445, 1996, 5366, 1997, 15827, 2000, 1002, 4229, 2509, 1010, 2199, 1010, 2612, 1997, 1002, 26267, 1010, 22810, 2004, 2761, 11310, 1012, 12997, 3825, 2035, 15827, 11727, 2004, 2027, 2020, 22667, 1010, 8074, 1037, 4013, 9350, 2050, 24964, 14905, 28393, 3672, 2013, 1996, 2060, 9387, 1999, 10388, 2007, 1996, 8183, 2050, 1012, 2006, 1996, 3944, 1997, 2285, 2861, 1010, 2722, 1010, 20726, 1010, 12411, 7033, 1010, 1998, 17840, 2020, 3974, 3246, 2138, 2027, 2020, 23454, 1996, 4539, 5995, 1010, 1998, 2045, 2020, 2053, 5751, 1997, 3514, 1012, 2012, 2055, 2184, 1052, 1012, 1049, 1012, 1010, 1996, 8494, 21197, 4590, 5411, 1996, 2093, 2273, 1998, 2356, 2054, 2027, 2359, 2032, 2000, 2079, 2007, 1996, 3514, 1998, 3806, 1523, 3065, 1524, 1999, 1996, 7099, 1012, 2852, 1012, 12411, 7033, 14914, 2002, 2001, 4527, 2000, 2031, 2018, 3065, 2012, 2023, 5995, 1517, 2002, 2245, 2027, 2018, 2525, 24311, 2205, 2784, 1998, 2020, 2627, 1996, 2181, 2073, 2002, 3517, 2000, 2424, 3514, 1998, 3806, 1012, 10655, 1010, 17840, 14914, 2002, 2245, 2027, 2018, 1037, 4318, 4920, 1523, 2138, 2057, 2018, 24311, 2627, 1996, 2391, 2008, 1045, 2018, 10173, 2008, 2057, 2052, 8087, 2023, 2896, 7859, 4224, 1012, 1524, 2852, 1012, 12411, 7033, 14914, 2008, 1010, 1999, 2236, 1010, 9224, 2113, 2008, 2009, 2003, 4187, 2025, 2000, 12913, 2627, 1996, 14437, 2391, 2138, 1010, 2320, 1037, 2092, 25316, 2046, 2300, 1010, 2009, 2097, 3965, 2069, 2300, 1998, 2025, 3514, 1012, 2852, 1012, 17840, 2001, 6427, 1010, 2241, 2006, 1996, 17710, 5521, 2015, 3399, 1010, 2008, 1996, 2092, 2001, 2525, 2627, 2049, 14437, 2391, 1010, 1998, 2852, 1012, 12411, 7033, 2036, 2245, 2009, 2001, 2205, 2784, 1012, 2087, 1997, 12997, 1521, 1055, 5126, 14914, 2008, 1996, 4971, 4232, 1041, 1011, 1016, 2001, 24311, 2000, 1037, 5995, 7182, 2000, 3231, 1996, 2896, 9155, 4645, 2121, 1010, 2021, 1996, 23953, 1521, 8519, 14914, 2000, 1996, 10043, 1012, 1996, 3820, 2000, 3143, 1996, 2092, 1996, 3065, 2020, 2204, 2739, 1010, 2021, 2027, 3591, 1037, 21883, 1012, 1999, 2344, 2000, 2448, 1037, 3231, 1998, 5646, 3251, 1996, 3065, 2941, 5393, 3278, 12450, 1997, 3514, 1010, 2009, 2052, 2022, 4072, 2000, 2275, 8667, 2000, 19444, 1996, 2217, 1997, 1996, 2092, 4920, 1012, 4292, 8667, 2052, 4867, 1996, 4920, 1010, 1998, 2138, 1997, 1996, 5995, 1998, 1996, 2287, 1997, 4971, 4232, 1041, 1011, 1016, 1010, 1996, 4920, 2001, 4867, 2525, 1012, 2044, 1037, 3231, 2001, 2448, 1998, 1996, 4920, 2001, 8061, 1010, 2009, 2052, 3961, 8186, 2825, 2000 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 1012, 4955, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 16452, 3155, 4090, 2454, 2111, 2020, 2542, 2007, 9820, 1999, 2249, 1032, 1031, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 2145, 1010, 2045, 2020, 2055, 1016, 1012, 1016, 2454, 2047, 15245, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1032, 1033, 1012, 2144, 1996, 2927, 1997, 1996, 16311, 3053, 2382, 2454, 2111, 2031, 2351, 1997, 8387, 1006, 3734, 10047, 23041, 10244, 8873, 29125, 8715, 1007, 3141, 5320, 1032, 1031, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1010, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1012, 2055, 2570, 1012, 1023, 2454, 2029, 2003, 6163, 1003, 1997, 2216, 2542, 2007, 9820, 1013, 8387, 16452, 2024, 1999, 3088, 2295, 2069, 2055, 2260, 1003, 1997, 1996, 2088, 1032, 1005, 1055, 2313, 3268, 1999, 1996, 2555, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 1999, 3408, 1997, 13356, 1010, 1996, 2555, 5836, 2055, 6535, 1003, 1997, 8387, 13356, 16452, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 2429, 2000, 2249, 15101, 15982, 2740, 5002, 1996, 3452, 2120, 4639, 9820, 20272, 2003, 1015, 1012, 1019, 1003, 1012, 1996, 5002, 3662, 1996, 9820, 20272, 2001, 1016, 1012, 1016, 1003, 1999, 2572, 11077, 2555, 2029, 2003, 2179, 1999, 2167, 2225, 11154, 1032, 1031, 1031, 1030, 1038, 2575, 1033, 1032, 1033, 1012, 2529, 10047, 23041, 10244, 8873, 29125, 7865, 1006, 9820, 1007, 8985, 5260, 2000, 3734, 10047, 23041, 10244, 8873, 29125, 8715, 1006, 8387, 1007, 1998, 2350, 5320, 1997, 22822, 17062, 3012, 1998, 13356, 1997, 2107, 5022, 2024, 1051, 2483, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1032, 1033, 1012, 1051, 2483, 2064, 5258, 1999, 2039, 2000, 2871, 1003, 1997, 20228, 2860, 3270, 2007, 1037, 3729, 2549, 4175, 2625, 2084, 5539, 4442, 1013, 3461, 1034, 1017, 1034, 1032, 1031, 1031, 1030, 1038, 2620, 1033, 1032, 1033, 1012, 1037, 2120, 2817, 1999, 11154, 3662, 9820, 5022, 1032, 1005, 2018, 1051, 2483, 2066, 2014, 10374, 1062, 14122, 2121, 11228, 1006, 2539, 1012, 1017, 1003, 1007, 1010, 21908, 15877, 1006, 1019, 1012, 1016, 1003, 1007, 1010, 1998, 18583, 1006, 1019, 1012, 1016, 1003, 1007, 1032, 1031, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1012, 1996, 7972, 20272, 1997, 1051, 2483, 1999, 3653, 1011, 2396, 9820, 5022, 1032, 1005, 1999, 2048, 2913, 1999, 4514, 11154, 2001, 6070, 1012, 1023, 1003, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1998, 6445, 1012, 1018, 1003, 1032, 1031, 1031, 1030, 29491, 2487, 1033, 1032, 1033, 1012, 1996, 3291, 1997, 1044, 2615, 1998, 1051, 2483, 2003, 2145, 2152, 1999, 1996, 2817, 2181, 2295, 2045, 2003, 2053, 3188, 2334, 3350, 1999, 1996, 2817, 2181, 2947, 1996, 2783, 2817, 2052, 2507, 1996, 9367, 1997, 6595, 2489, 2013, 13868, 2128, 3270, 21512, 5582, 6728, 6442, 19496, 10074, 15245, 2044, 2049, 3949, 1998, 2049, 28283, 22311, 3372, 5876, 1012, 1996, 6434, 1997, 1996, 2817, 2097, 2022, 2109, 2000, 2933, 4219, 2734, 2005, 11888, 9820, 1013, 8387, 2729, 1998, 2000, 2113, 2967, 1997, 20228, 2860, 3270, 2445, 9686, 5051, 13247, 3086, 2076, 2729, 1012, 1996, 3350, 2003, 3517, 2000, 2022, 2109, 2011, 10605, 1998, 2512, 3995, 23062, 26901, 4411, 2551, 2006, 9820, 1013, 8387, 2030, 7731, 2075, 2009, 1999, 2344, 2000, 12367, 3343, 11153, 1998, 2966, 14617, 1012, 1016, 1012, 4725, 1998, 4475, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1016, 1012, 1015, 1012, 2817, 4292, 1998, 3120, 2313, 1063, 1001, 10819, 2475, 1012, 1015, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 2817, 2001, 4146, 1999, 2139, 13578, 28003, 2015, 2237, 2270, 2740, 4896, 2426, 4639, 3653, 1011, 2396, 20228, 2860, 3270, 2443, 2000, 11888, 9820, 2729, 2090, 2423, 2233, 2263, 1998, 2484, 2233, 2286, 1012, 2139, 13578, 28003, 2015, 2237, 2003, 2179, 25926, 20595, 2185, 2013, 5587, 2483, 19557, 3676, 1006, 1037, 3007, 2103, 1997, 11154, 1007, 1998, 2009, 2038, 2028, 6523, 7941, 2902, 1010, 2093, 2270, 2740, 6401, 1010, 2048, 17895, 17865, 1010, 1998, 2702, 2060, 2797, 17865, 1998, 2295, 2069, 1996, 6523, 7941, 2902, 1998, 2028, 2740, 2415, 4346, 11888, 9820, 2729, 2005, 1996, 9820, 1013, 8387, 5022, 1012, 2947, 2057, 6204, 1037, 2817, 2478, 15354, 2522, 27794, 2817, 2640, 2006, 2740, 4896, 4346, 11888, 9820, 2729, 1999, 1996, 2237, 1012, 1996, 3120, 7080, 2020, 2035, 4639, 2007, 2287, 2682, 2459, 2086, 20228, 2860, 3270, 2040, 2018, 11888, 9820, 2729, 1999, 1996, 2237, 2270, 2740, 4896, 1012, 20228, 2860, 3270, 2040, 2020, 2383, 12958, 2135, 8832, 3582, 2039, 4289, 1025, 2025, 4975, 1051, 2072, 2096, 5068, 2006, 9820, 11888, 2729, 1025, 2025, 2635, 3115, 3949, 2044, 4975, 1051, 2072, 2429, 2000, 1996, 15101, 3757, 1997, 2740, 5009, 4179, 1025, 1998, 3653, 1011, 2396, 6875, 2030, 18749, 29336, 2075, 10756, 2040, 2020, 2635, 1062, 13820, 17258, 3170, 2005, 9740, 1997, 2388, 2000, 2775, 6726, 1997, 9820, 1013, 8387, 2020, 12421, 2013, 1996, 2817, 1012, 1016, 1012, 1016, 1012, 16227, 1998, 2951, 3074, 7709, 1063, 1001, 10819, 2475, 1012, 1016, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 7099, 2946, 2001, 10174, 2241, 2006, 1996, 2048, 1011, 11536, 5345, 1003, 7023, 13483, 1998, 1017, 1012, 1019, 1003, 7785, 1997, 7561, 1998, 2011, 2478, 1996, 10817, 1997, 3653, 1011, 2396, 9820, 5022, 1032, 1005, 2383, 1051, 2072, 1999, 4514, 11154, 2817, 1010, 2029, 2001, 6070, 1012, 1023, 1003, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1012, 1996, 10174, 7099, 2946, 2478, 2330, 1011, 4958, 2072, 2544, 1016, 1012, 1017, 2089, 2268, 2001, 17196, 2059, 2044, 5815, 2184, 1003, 9530, 3436, 11916, 1996, 2345, 2001, 28358, 1012, 2055, 25103, 2475, 20228, 2860, 3270, 2040, 13883, 1996, 10502, 9181, 2020, 2128, 15549, 3064, 2013, 1996, 2525, 2800, 2862, 1997, 20228, 2860, 3270, 2040, 2020, 2006, 11888, 9820, 2729, 1999, 2396, 17865, 1012, 1998, 2059, 4989, 1997, 6818, 2001, 2081, 2011, 11243, 3722, 6721, 16227, 7709, 2478, 6721, 2193, 2795, 1012, 1996, 2734, 2951, 2003, 2800, 2006, 2817, 6818, 1032, 1005, 3949, 4003, 1998, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 2029, 2009, 2003, 2179, 1999, 1996, 2396, 9349, 2021, 6524, 2027, 2089, 6148, 3949, 2041, 1011, 2125, 2037, 3582, 1011, 2039, 9349, 1012, 2947, 1999, 2344, 2000, 5547, 23123, 7691, 4297, 28578, 4765, 1010, 2817, 6818, 2020, 2356, 2011, 2951, 14256, 2055, 3949, 2381, 2041, 1997, 1996, 3582, 1011, 2039, 2740, 5145, 1998, 2005, 2216, 2725, 2009, 1010, 1996, 3949, 2001, 7039, 1998, 10061, 2098, 1999, 1996, 7972, 2740, 4896, 1012, 6224, 3949, 2041, 1997, 1996, 3582, 1011, 2039, 2740, 5145, 2001, 2356, 2043, 20228, 2860, 3270, 2272, 2000, 2740, 5145, 2005, 3582, 1011, 2039, 2030, 3949, 2030, 2011, 2478, 5068, 4769, 2006, 3582, 1011, 2039, 2433, 2066, 3042, 2193, 2030, 17710, 8671, 2063, 1010, 2160, 2193, 2029, 2001, 2109, 2000, 2131, 2000, 2068, 1012, 2951, 3074, 6602, 2001, 2764, 2013, 2976, 3757, 1997, 2740, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 2029, 2003, 2109, 1999, 1996, 2396, 9349, 1998, 2036, 1996, 5776, 1032, 1005, 1055, 4003, 1012, 1996, 2951, 2001, 5067, 2011, 15252, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 1998, 5022, 1032, 1005, 4003, 1012, 2426, 1037, 3809, 1997, 5911, 11702, 1006, 2066, 3729, 2549, 4175, 1010, 19610, 8649, 4135, 8428, 3643, 1010, 4578, 1010, 1998, 3635, 1007, 1996, 2087, 7205, 2000, 1996, 2817, 2558, 2020, 2579, 2004, 26163, 6459, 1012, 1998, 2426, 1996, 3809, 11702, 2864, 2006, 20228, 2860, 3270, 2096, 2016, 1013, 2002, 2003, 2443, 2006, 1996, 2817, 1010, 1996, 7205, 2000, 1996, 1051, 2072, 28667, 3126, 24413, 2030, 8292, 29577, 2098, 2001, 2579, 2004, 1996, 2203, 2240, 2030, 3582, 1011, 2039, 5300, 1012, 6226, 1997, 1051, 2072, 2489, 9367, 2001, 2589, 2011, 15252, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 2030, 5776, 4003, 1999, 2396, 9349, 2030, 2041, 1997, 2396, 9349, 2065, 2817, 6818, 6148, 3949, 2041, 1997, 2396, 9349, 1012, 2817, 6818, 2040, 2707, 2396, 1013, 4530, 1011, 2041, 1013, 3279, 3582, 1011, 2039, 1013, 4015, 2041, 1013, 2757, 2011, 2151, 4295, 2060, 2084, 1051, 2072, 1013, 3426, 1997, 2331, 2025, 4484, 2096, 2006, 2817, 2030, 2025, 4975, 1051, 2072, 2012, 2203, 1997, 1996, 2817, 2558, 2020, 8292, 29577, 2098, 1012, 1037, 3479, 1998, 4738, 2740, 8390, 2551, 1999, 2396, 17865, 1999, 2169, 2740, 5145, 2020, 2109, 2004, 2951, 14256, 1998, 22565, 1012, 1016, 1012, 1017, 1012, 6515, 6210, 1063, 1001, 10819, 2475, 1012, 1017, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1008, 7691, 1008, 1012, 9367, 1997, 2489, 1997, 1051, 2072, 2128, 3270, 21512, 5582, 1012, 1008, 8292, 29577, 2098, 1008, 1012, 2512, 16570, 9331, 3366, 1997, 1051, 2072, 1999, 2817, 13180, 2076, 3582, 1011, 2039, 2006, 2817, 1010, 2021, 2925, 2128, 2721, 29251, 2003, 9662, 1012, 28667, 3126, 24413, 1013, 2128, 3270, 21512, 2078, 1013, 2128, 2721, 29251, 1024, 6230, 2030, 11616, 1997, 2151, 2828, 1997, 1051, 2483, 2011, 2740, 3167, 2015, 2551, 1999, 2396, 9349, 2044, 7678, 1996, 11003, 3949, 1997, 2151, 2828, 1997, 1051, 2072, 1012, 1008, 4530, 2041, 1008, 1012, 2065, 1037, 20228, 2860, 3270, 2006, 9820, 2729, 2439, 2000, 3582, 1011, 2039, 2005, 2062, 2084, 2093, 2706, 2004, 2680, 2011, 2396, 2740, 5073, 1012, 1008, 2439, 2000, 3582, 1011, 2039, 1008, 1012, 2065, 20228, 2860, 3270, 2006, 9820, 2729, 2025, 2464, 2005, 5020, 2000, 2030, 2062, 2084, 2028, 3204, 2004, 2680, 2011, 2396, 2740, 5073, 1012, 1008, 4015, 2041, 1012, 1008, 2065, 20228, 2860, 3270, 2006, 9820, 2729, 1999, 2028, 2740, 5145, 5670, 2000, 2060, 2740, 5145, 1012, 1008, 2204, 29235, 1008, 1012, 2065, 20228, 2860, 3270, 25276, 3372, 1609, 2683, 2629, 1003, 2008, 2003, 1996, 7017, 1997, 4771, 13004, 2003, 1032, 1026, 1016, 21656, 1997, 2382, 21656, 2030, 1032, 1026, 1017, 13004, 1997, 3438, 13004, 2004, 8832, 2011, 2396, 2740, 5073, 1012, 1008, 4189, 29235, 1008, 1012, 2065, 20228, 4048, 2615, 25276, 3372, 5594, 1011, 1011, 6365, 1003, 2008, 2003, 1996, 7017, 1997, 4771, 13004, 2003, 1017, 1011, 1011, 1019, 21656, 1997, 2382, 21656, 2030, 1017, 1011, 1011, 1023, 13004, 1997, 3438, 13004, 2004, 8832, 2011, 2396, 2740, 5073, 1012, 1008, 3532, 29235, 1008, 1012, 2065, 20228, 4048, 2615, 25276, 3372, 1032, 1026, 5594, 1003, 2008, 2003, 1996, 7017, 1997, 4771, 13004, 2003, 1609, 2575, 21656, 1997, 2382, 21656, 2030, 1032, 1028, 1023, 13004, 1997, 3438, 13004, 2004, 8832, 2011, 2396, 2740, 5073, 1012, 1016, 1012, 1018, 1012, 2951, 3737, 2968, 1998, 7778, 4106, 1063, 1001, 10819, 2475, 1012, 1018, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2000, 5441, 2951, 3737, 2731, 2001, 2445, 2005, 2951, 14256, 1998, 2005, 22565, 1012, 7919, 2881, 2951, 3074, 3430, 2001, 2764, 2013, 15101, 2976, 3757, 1997, 2740, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 1998, 5022, 1032, 1005, 4003, 1012, 2000, 4638, 6149, 2951, 3074, 2184, 1003, 1997, 1996, 7099, 2001, 2128, 7875, 20528, 10985, 2011, 22565, 1012, 1996, 2951, 2020, 3313, 3133, 2011, 4738, 2951, 7805, 2000, 4638, 6149, 2951, 4443, 1012, 2044, 7678, 2951, 4443, 1010, 2041, 14355, 2015, 1998, 2151, 4771, 5300, 2020, 7039, 2478, 6075, 1010, 10328, 1010, 1998, 22210, 1998, 2151, 4453, 7561, 2012, 2151, 3357, 2001, 13371, 2011, 7065, 9355, 1996, 2434, 2951, 24504, 4289, 1012, 2044, 16861, 2169, 24504, 4289, 1010, 2951, 2001, 3133, 1999, 2000, 4958, 2072, 18558, 2544, 1017, 1012, 1019, 1012, 1015, 7778, 7427, 1012, 4106, 1997, 2951, 2001, 2589, 2478, 2330, 1011, 4958, 2072, 2544, 1016, 1012, 1017, 2089, 2268, 1010, 11867, 4757, 2544, 2322, 1010, 1998, 28093, 2050, 2544, 2340, 7778, 14555, 1012, 18949, 3446, 2001, 10174, 2011, 16023 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1000, 26511, 22582, 7160, 12967, 1010, 2023, 2003, 20934, 28483, 8950, 3578, 1012, 1000, 1000, 2079, 2017, 3191, 1029, 1000, 1000, 26511, 22582, 7160, 12967, 1010, 2023, 2003, 20934, 28483, 8950, 3578, 1012, 1000, 1000, 2079, 2017, 3191, 1029, 1000, 1000, 13399, 1010, 1000, 1000, 26511, 22582, 7160, 12967, 1012, 1000, 1000, 2027, 1005, 2128, 2125, 2607, 1998, 2104, 1996, 21096, 9663, 1012, 1000, 1000, 26511, 22582, 7160, 12967, 1010, 2079, 2017, 3191, 1029, 1000, 1000, 2272, 2157, 2000, 6185, 2692, 1012, 1000, 1000, 7160, 12967, 1010, 2079, 2017, 3191, 1029, 1000, 1000, 2009, 1005, 1055, 3823, 2041, 1012, 1000, 1000, 7160, 12967, 1010, 11113, 11589, 1012, 1000, 1000, 7160, 12967, 1010, 11113, 11589, 999, 1000, 1000, 7160, 12967, 1010, 11113, 11589, 999, 1000, 1000, 11113, 11589, 999, 1000, 1000, 2448, 999, 1000, 1000, 2474, 1019, 2595, 2692, 2475, 100, 4254, 2434, 2250, 3058, 2006, 2255, 1015, 1010, 2286, 1000, 1000, 1027, 1027, 26351, 1010, 13371, 2011, 6422, 2386, 1027, 1027, 1030, 6422, 1035, 2158, 1000, 1000, 2129, 1005, 1055, 2002, 2725, 1029, 1000, 1000, 2979, 2010, 9345, 4877, 1010, 2157, 1029, 1000, 1000, 2821, 1010, 2007, 3909, 6087, 1012, 1000, 1000, 2061, 2002, 1005, 1055, 2204, 2000, 2175, 1012, 1000, 1000, 2031, 2017, 5720, 2000, 9266, 5705, 1029, 1000, 1000, 2002, 3544, 2000, 2022, 11326, 2026, 4455, 1012, 1000, 1000, 2008, 1005, 1055, 11655, 10431, 1012, 1000, 1000, 5262, 1012, 1000, 1000, 2821, 1010, 2026, 2643, 1012, 1000, 1000, 7861, 20214, 2239, 2058, 11066, 1012, 1000, 1000, 2122, 4364, 2013, 2197, 2305, 2024, 2785, 1997, 4439, 2033, 12264, 1012, 1000, 1000, 2029, 2028, 1029, 1000, 1000, 7627, 1029, 1000, 1000, 4074, 1012, 1000, 1000, 2054, 2003, 2008, 1029, 1000, 1000, 2019, 4540, 1997, 9781, 1029, 1000, 1000, 1037, 4060, 2571, 1029, 1000, 1000, 2008, 2941, 3504, 2066, 1037, 1011, 1037, 1012, 1012, 1012, 1000, 1000, 2821, 1010, 2026, 2643, 1010, 2182, 1005, 1055, 7627, 1012, 1000, 1000, 1000, 2204, 2851, 1010, 3376, 1012, 1000, 1000, 1000, 1000, 2092, 1010, 2204, 2851, 2000, 2017, 1010, 1000, 27420, 2227, 1012, 1000, 1000, 2017, 2657, 2013, 2035, 2093, 1029, 1000, 1000, 4033, 1005, 1056, 2017, 1029, 1000, 1000, 7910, 1010, 2053, 1012, 1000, 1000, 2026, 1010, 7910, 1010, 3042, 1005, 1055, 2125, 1012, 1000, 1000, 1045, 2812, 1010, 2040, 2234, 2039, 2007, 2023, 2967, 3334, 2518, 4312, 1029, 1000, 1000, 2017, 2113, 1010, 2093, 2335, 1996, 13893, 2987, 1005, 1056, 4025, 8317, 2135, 2614, 1012, 1000, 1000, 2028, 1011, 2006, 1011, 2028, 2003, 2919, 2438, 1012, 1000, 1000, 1045, 2113, 1010, 2021, 3123, 2001, 2061, 7568, 1010, 1998, 1010, 2017, 2113, 1010, 2016, 2428, 3791, 2000, 2131, 2041, 1998, 3113, 4364, 1012, 1000, 1000, 3398, 1010, 2008, 2031, 1037, 8187, 1012, 1000, 1000, 2009, 1005, 1055, 4011, 2000, 2022, 4569, 1012, 1000, 1000, 2093, 4364, 1010, 2093, 3057, 1010, 2053, 3778, 1010, 2053, 10908, 1012, 1000, 1000, 1045, 1005, 1049, 3374, 1012, 1000, 1000, 2093, 1005, 1055, 1037, 4306, 1012, 1000, 1000, 2003, 2008, 1037, 2540, 2030, 1037, 10007, 1029, 1000, 1000, 2017, 2113, 2054, 1029, 1000, 1000, 2182, 1005, 1055, 2019, 2742, 1012, 1000, 1000, 2093, 6468, 1010, 20934, 10623, 3709, 1012, 1000, 1000, 2093, 2210, 10369, 17252, 1010, 3506, 27885, 22779, 9250, 1012, 1000, 1000, 2093, 6397, 12328, 1010, 17448, 3013, 2125, 1012, 1000, 1000, 1045, 2572, 4129, 2017, 1010, 2111, 2707, 4288, 2169, 2060, 2043, 1996, 8522, 2003, 2093, 1012, 1000, 1000, 4687, 2065, 3123, 2288, 2151, 4455, 1012, 1000, 1000, 3398, 1010, 2069, 2065, 2028, 1997, 2068, 3333, 2757, 1012, 1000, 1000, 2017, 1005, 2128, 2919, 1012, 1000, 1000, 2553, 2006, 5877, 1012, 1000, 1000, 2821, 1010, 2182, 2057, 2175, 1012, 1000, 1000, 2606, 12690, 1029, 1000, 1000, 2053, 1010, 1045, 2228, 2009, 1005, 1055, 1037, 2047, 3797, 1012, 1000, 1000, 3524, 1037, 2117, 1012, 1000, 1000, 2024, 2216, 1012, 1012, 1012, 1029, 1000, 1000, 15624, 1010, 1045, 2572, 4147, 6471, 1012, 1000, 1000, 6517, 2227, 1012, 1000, 1000, 2054, 1010, 2017, 2288, 2214, 10406, 1005, 1055, 2972, 3888, 1999, 2045, 1029, 1000, 1000, 7910, 1010, 2009, 1005, 1055, 2074, 2026, 3566, 1012, 1000, 1000, 2074, 2014, 3566, 1012, 1000, 1000, 2092, 1010, 2092, 1010, 2092, 1012, 1000, 1000, 2298, 2040, 1005, 1055, 4147, 2502, 1011, 2879, 6471, 1012, 1000, 1000, 21770, 3723, 2288, 2033, 2122, 1012, 1000, 1000, 1045, 2812, 1010, 2017, 2145, 2031, 1996, 27468, 2015, 1010, 2021, 2009, 1005, 1055, 1037, 2707, 1012, 1000, 1000, 2453, 2004, 2092, 2022, 4147, 1037, 27468, 1012, 1000, 1000, 2644, 1059, 20535, 3070, 1012, 1000, 1000, 2748, 1010, 5003, 1005, 2572, 1012, 1000, 1000, 2220, 2023, 2851, 1010, 1037, 2797, 6892, 1010, 2006, 2049, 2126, 2013, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 8007, 2012, 20934, 28483, 8950, 3199, 1012, 1000, 1000, 2045, 1005, 1055, 2053, 2592, 2004, 2000, 2339, 1996, 4946, 2253, 2091, 1010, 2021, 2012, 2023, 2220, 3178, 1010, 2009, 2515, 3711, 2053, 2028, 2006, 2604, 5175, 1012, 1000, 1000, 2054, 2106, 2250, 4026, 2491, 2360, 1029, 1000, 1000, 1996, 3578, 2439, 3967, 2007, 1996, 6892, 2588, 3921, 1012, 1000, 1000, 1996, 4946, 2596, 2000, 2022, 2006, 1037, 12365, 2607, 2077, 2310, 7999, 2125, 2012, 1996, 2197, 2617, 1010, 12894, 1012, 1000, 1000, 4405, 7561, 1029, 1000, 1000, 2071, 2031, 15849, 12326, 1996, 9271, 1012, 1000, 1000, 2672, 1010, 2030, 9444, 2001, 3909, 1996, 4946, 2018, 1037, 3154, 4539, 1999, 2568, 1012, 1000, 1000, 2030, 2672, 2027, 4771, 1037, 4539, 1012, 1000, 1000, 2009, 1005, 1055, 2040, 1005, 1055, 2006, 2604, 2008, 5426, 2149, 1012, 1000, 1000, 2280, 3580, 5902, 2520, 11764, 1012, 1000, 1000, 2002, 2001, 1037, 3145, 2447, 1999, 1996, 2162, 2006, 7404, 1012, 1000, 1000, 3140, 2046, 2220, 5075, 2702, 2706, 3283, 1012, 1000, 1000, 11764, 1005, 1055, 4895, 19023, 19574, 6256, 1997, 1996, 3447, 2439, 2032, 2010, 3105, 1998, 1037, 2835, 2006, 1996, 4101, 9058, 1997, 3095, 1012, 1000, 1000, 2054, 2001, 2002, 2725, 1999, 1048, 1012, 1037, 1012, 1029, 1000, 1000, 2429, 2000, 2023, 1010, 2002, 2001, 20138, 2075, 1037, 2338, 3066, 1012, 1000, 1000, 1000, 29505, 6750, 1010, 1037, 15544, 19510, 2075, 4070, 1997, 1996, 3606, 2369, 1996, 19377, 1012, 1000, 1000, 1000, 3520, 1998, 1045, 2097, 4638, 2041, 1996, 3199, 1012, 1000, 1000, 6358, 5332, 1012, 1012, 1012, 1000, 1000, 7910, 1010, 2017, 1005, 2222, 2022, 2635, 6358, 5332, 2007, 2017, 1010, 1000, 1000, 2720, 1012, 2655, 2368, 1012, 1000, 1000, 2821, 1010, 2307, 1010, 2026, 2353, 1011, 5217, 3570, 2081, 2880, 1012, 1000, 1000, 2025, 2651, 1012, 1000, 1000, 3520, 2038, 2019, 6098, 1012, 1000, 1000, 2821, 1012, 1000, 1000, 2007, 2040, 1029, 1000, 1000, 2008, 2052, 2022, 2033, 1012, 1000, 1000, 8253, 1012, 1000, 1000, 2204, 2851, 1012, 1000, 1000, 2017, 2215, 2033, 2000, 2156, 2178, 22802, 1029, 1000, 1000, 7910, 1010, 1045, 2123, 1005, 1056, 2228, 1000, 1000, 2720, 1012, 2131, 2480, 2003, 1000, 2178, 22802, 1012, 1000, 1000, 1000, 2002, 4282, 2017, 1010, 2115, 2627, 1012, 1000, 1000, 1998, 2002, 4282, 1045, 17523, 2067, 3435, 1012, 1000, 1000, 2130, 1996, 2087, 25634, 8313, 11651, 2041, 2776, 1012, 1000, 1000, 2003, 2008, 2054, 2017, 2228, 1010, 1000, 1000, 21770, 3723, 1029, 1000, 1000, 2017, 2228, 1045, 1005, 1049, 6247, 2041, 1029, 1000, 1000, 1045, 4737, 2008, 2017, 2097, 2022, 2065, 2017, 2123, 1005, 1056, 2202, 2729, 1997, 4426, 1012, 1000, 1000, 4133, 2091, 1010, 1000, 1000, 2720, 1012, 10579, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2113, 2054, 2062, 2017, 2215, 2013, 2033, 1010, 21770, 3723, 1012, 1000, 1000, 1045, 2979, 2026, 3558, 2026, 8827, 17994, 7667, 1012, 1000, 1000, 2031, 1045, 2412, 2409, 2017, 2055, 1996, 2051, 1045, 2253, 6397, 1029, 1000, 1000, 2009, 2001, 1999, 12899, 1012, 1000, 1000, 1045, 2001, 2061, 5462, 2000, 2026, 8775, 2008, 1045, 2253, 2005, 3134, 4493, 2006, 2210, 2062, 2084, 9728, 1998, 14380, 19673, 1012, 1000, 1000, 2061, 2043, 1010, 2012, 2197, 1010, 2026, 4539, 3591, 2993, 1010, 1000, 1000, 1045, 2071, 4510, 2156, 2000, 3143, 2026, 3260, 1012, 1000, 1000, 17663, 1037, 18888, 1012, 1000, 1000, 1045, 2202, 1037, 4800, 28403, 10020, 1012, 1000, 1000, 2821, 1010, 2272, 2006, 1012, 1000, 1000, 3374, 1010, 21770, 3723, 1012, 1000, 1000, 1045, 2131, 2009, 1010, 2021, 1045, 2876, 1005, 1056, 2022, 2182, 2065, 1045, 2134, 1005, 1056, 2228, 1045, 2071, 2079, 1037, 2204, 3105, 1012, 1000, 1000, 2059, 1010, 2115, 3942, 2007, 2720, 1012, 2131, 2480, 2097, 2022, 1037, 8210, 5337, 3012, 1012, 1000, 1000, 2129, 1005, 1040, 2017, 2131, 2115, 4356, 2067, 1029, 1000, 1000, 25659, 2015, 1012, 1000, 1000, 2467, 4521, 2115, 25659, 2015, 1010, 2720, 1012, 10579, 1012, 1000, 1000, 3374, 1012, 1000, 1000, 1045, 2113, 2017, 2020, 2559, 2830, 2000, 2893, 2067, 2041, 2007, 3520, 1012, 1000, 1000, 3398, 1010, 2009, 1005, 1055, 1996, 2168, 2005, 2017, 1998, 9266, 5705, 1012, 1000, 1000, 2092, 1010, 2292, 1005, 1055, 2994, 3893, 1012, 1000, 1000, 2204, 2801, 1012, 1000, 1000, 2002, 2180, 1005, 1056, 2709, 2026, 4455, 1012, 1000, 1000, 2123, 1005, 1056, 2202, 2009, 7714, 1012, 1000, 1000, 3520, 1005, 1055, 2042, 6595, 2485, 2000, 2188, 2004, 2092, 1012, 1000, 1000, 1045, 2481, 1005, 1056, 2131, 2032, 2000, 2175, 2000, 1037, 18264, 2208, 1012, 1000, 1000, 3398, 1010, 1045, 4149, 2032, 1037, 13675, 2239, 4904, 1012, 1000, 1000, 1045, 2018, 5434, 5178, 1012, 1012, 1012, 1000, 1000, 2017, 4149, 2032, 1037, 2054, 1029, 1000, 1000, 1037, 13675, 2239, 4904, 1012, 1000, 1000, 2009, 1005, 1055, 1037, 13675, 10054, 22341, 1011, 23126, 24072, 8893, 1025, 1000, 1000, 9266, 5705, 7459, 2068, 1012, 1000, 1000, 1045, 2064, 2069, 2131, 2068, 1999, 2023, 2210, 18112, 1999, 2047, 2259, 2103, 1010, 1998, 1045, 2187, 2009, 2006, 2010, 26581, 1010, 1998, 2009, 1005, 1055, 2145, 2045, 1012, 1000, 1000, 2002, 1005, 2222, 2022, 3100, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2027, 2119, 2097, 1012, 1000, 1000, 1045, 1005, 1049, 6069, 2655, 4388, 1010, 2156, 2065, 2002, 3764, 2000, 1996, 1045, 1012, 1056, 1012, 4364, 1012, 1000, 1000, 13316, 2483, 1012, 1000, 1000, 11538, 1996, 2331, 1997, 3580, 5902, 11764, 1012, 1000, 1000, 2708, 4922, 1010, 1000, 1000, 2120, 5193, 3808, 2604, 1012, 1000, 1000, 2129, 2024, 2017, 1029, 1000, 1000, 2204, 6735, 2007, 2008, 1012, 1000, 1000, 2272, 2153, 1029, 1000, 1000, 2202, 1037, 2298, 1025, 2025, 2172, 2187, 1012, 1000, 1000, 2061, 2017, 4033, 1005, 1056, 2042, 2583, 2000, 2424, 2505, 2008, 7126, 4863, 1996, 5823, 1029, 1000, 1000, 2092, 1010, 2941, 1010, 2057, 1005, 2310, 3492, 2172, 2179, 2673, 3272, 1996, 2028, 2518, 2008, 2071, 2393, 1012, 1000, 1000, 1996, 2304, 3482, 1029, 1000, 1000, 1996, 12006, 2181, 2003, 3492, 2235, 1012, 1000, 1000, 2021, 2057, 2064, 1005, 1056, 2424, 1996, 3482, 5973, 1012, 1000, 1000, 2428, 1029, 1000, 1000, 2428, 1012, 1000, 1000, 3398, 1010, 2017, 2228, 2017, 2064, 2131, 3031, 2216, 2012, 2278, 7588, 1029, 1000, 1000, 2027, 1005, 2128, 2025, 2115, 2779, 12191, 2015, 1010, 6358, 5332, 1012, 1000, 1000, 1045, 1005, 1049, 1037, 29294, 1010, 2025, 1037, 2643, 1012, 1000, 1000, 4388, 1010, 3100, 1010, 2292, 2149, 2113, 2054, 2842, 2017, 2424, 1012, 1000, 1000, 2986, 1012, 1000, 1000, 1045, 1012, 1056, 1012, 4364, 4484, 1996, 3578, 3001, 2020, 4082, 7919, 1012, 1000, 1000, 2106, 1996, 8221, 2507, 2151, 12407, 2008, 2027, 2020, 2383, 3471, 1029, 1000, 1000, 2053, 1010, 2045, 2001, 2053, 3433, 2000, 2151, 1997, 1996, 4807, 4740, 1012, 1000, 1000, 2561, 2557, 4223, 1012, 1000, 1000, 1045, 1005, 1049, 2667, 2000, 2131, 4388, 2000, 20410, 2009, 1010, 2021, 2242, 1005, 1055, 2288, 2010, 12095, 1999, 1037, 9792, 1012, 1000, 1000, 2672, 2009, 1005, 1055, 2010, 2047, 6471, 1012, 1000, 1000, 5697, 2851, 1012, 1000, 1000, 2003, 2008, 2115, 1010, 7910, 1010, 2115, 3566, 2153, 1029, 1000, 1000, 1037, 2767, 1012, 1000, 1000, 2767, 1997, 2017, 1998, 6358, 5332, 1005, 1055, 1029, 1000, 1000, 3398, 1010, 2074, 2619, 1045, 5112, 2041, 2007, 2197, 2305, 1012, 1000, 1000, 2007, 6358, 5332, 1029, 1000, 1000, 2006, 1037, 3058, 1029, 1000, 1000, 1045, 2123, 1005, 1056, 2812, 1037, 3058, 2007, 6358, 5332, 1012, 1000, 1000, 2017, 2113, 2054, 1045, 2812, 1012, 1000, 1000, 2066, 1010, 6358, 5332, 1998, 1996, 3124, 2016, 1005, 1055, 2046, 1010, 2017, 1998, 1996, 3124, 2017, 1005, 2128, 2046, 1012, 1000, 1000, 2025, 2046, 2032, 1010, 2025, 2046, 2151, 1997, 2068, 1010, 1998, 4445, 2003, 6358, 5332, 1012, 1000, 1000, 23281, 1010, 23281, 1010, 23281, 1010, 2068, 1029, 1000, 1000, 3398, 1010, 3100, 1010, 2045, 1005, 1055, 2093, 1997 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 9385, 2297, 1011, 2418, 2417, 6045, 1010, 4297, 1012, 1998, 1013, 2030, 2049, 18460, 1008, 1998, 2060, 16884, 2004, 5393, 2011, 1996, 1030, 3166, 22073, 1012, 1008, 1008, 7000, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1000, 6105, 1000, 1007, 1025, 1008, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 2007, 1996, 6105, 1012, 1008, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 1008, 1008, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 1008, 1008, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 4007, 1008, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1000, 2004, 2003, 1000, 3978, 1010, 1008, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 1008, 2156, 1996, 6105, 2005, 1996, 3563, 2653, 8677, 6656, 2015, 1998, 1008, 12546, 2104, 1996, 6105, 1012, 1008, 1013, 7427, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1025, 12324, 10763, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 2865, 13874, 1012, 4646, 1035, 1046, 3385, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1012, 2919, 2890, 15500, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1012, 2053, 8663, 6528, 2102, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1012, 8241, 2121, 29165, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 13874, 1012, 11343, 1025, 12324, 9262, 1012, 5658, 1012, 24471, 2072, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 2862, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 4949, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 19723, 10288, 1012, 7060, 6038, 2696, 2595, 10288, 24422, 1025, 12324, 9262, 2595, 1012, 6960, 1012, 6123, 1012, 5097, 16186, 2094, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 16678, 2015, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 3972, 12870, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 12398, 10175, 5657, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 2131, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 2695, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 2404, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4130, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4130, 28689, 2213, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 7137, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 23032, 28689, 2213, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 11661, 1012, 2004, 6038, 16748, 13102, 5644, 2063, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 11661, 1012, 6731, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 6123, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 3433, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 24471, 6137, 2078, 14876, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 23032, 2890, 15500, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1012, 9718, 1012, 12046, 16748, 4383, 16429, 8043, 6299, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1012, 9718, 1012, 3463, 18903, 5910, 2121, 6299, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1012, 23561, 1012, 10047, 3388, 7277, 9688, 21222, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 11498, 2213, 1012, 2051, 5685, 24204, 3388, 28689, 5244, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 11498, 2213, 1012, 2051, 29560, 11589, 28689, 5244, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 26618, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 4563, 1012, 2326, 1012, 4972, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 4563, 1012, 2326, 1012, 2344, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 4563, 1012, 2326, 1012, 19081, 1012, 8117, 17848, 7292, 9153, 27718, 5521, 22747, 2953, 5017, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 17928, 2121, 29165, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11343, 24204, 3388, 8400, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11343, 13874, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 13610, 2015, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 2951, 8400, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 3593, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 13874, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 13610, 8663, 8873, 2290, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 9367, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 6415, 18442, 2015, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 22073, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 25309, 22043, 1025, 12324, 8917, 1012, 1046, 15853, 2015, 1012, 2717, 5243, 6508, 1012, 5754, 17287, 9285, 1012, 1043, 5831, 2361, 1025, 12324, 4012, 1012, 5514, 2595, 19968, 1012, 4027, 1012, 2951, 8428, 2094, 1012, 5754, 17287, 3508, 1012, 1046, 3385, 6155, 11610, 3669, 4371, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 25918, 3370, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 28689, 2213, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 6072, 26029, 3366, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 6072, 26029, 8583, 1025, 12324, 1054, 2595, 1012, 27885, 8043, 12423, 1025, 12324, 1054, 2595, 1012, 6134, 2869, 1012, 6134, 2869, 1025, 1013, 1008, 1008, 1008, 1030, 3166, 8852, 11265, 17603, 2050, 1008, 1008, 1013, 1030, 4130, 1006, 1000, 1013, 11343, 1000, 1007, 1030, 16678, 2015, 1006, 4646, 1035, 1046, 3385, 1007, 1030, 7137, 1006, 4646, 1035, 1046, 3385, 1007, 1030, 1043, 5831, 2361, 1030, 17928, 1006, 22073, 1027, 1000, 11343, 1000, 1007, 1030, 5097, 16186, 2094, 1030, 26618, 2270, 2465, 11343, 11774, 3917, 8908, 12046, 18116, 7903, 24660, 21222, 22164, 10047, 3388, 7277, 9688, 21222, 1026, 11343, 13874, 1028, 1063, 1030, 2695, 1030, 4130, 1006, 1000, 1013, 1000, 1007, 1030, 17928, 25918, 3370, 1006, 3643, 1027, 1000, 3443, 11343, 12046, 1012, 1000, 1010, 3964, 1027, 1000, 2168, 3964, 2004, 4526, 7633, 12046, 6611, 1012, 1000, 1007, 1030, 17928, 6072, 26029, 8583, 1006, 3643, 1027, 1063, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 16345, 1010, 4471, 1027, 1000, 12046, 2580, 5147, 1000, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 4278, 1010, 4471, 1027, 1000, 4394, 2030, 19528, 18093, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 2871, 2683, 1010, 4471, 1027, 1000, 11343, 12046, 2007, 2445, 8909, 2525, 6526, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 3156, 1010, 4471, 1027, 1000, 12046, 4325, 3478, 2349, 2000, 2019, 9223, 7561, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1065, 1007, 2270, 11675, 3443, 12589, 1006, 1030, 6731, 2345, 2004, 6038, 16748, 13102, 5644, 2063, 2004, 6038, 16748, 13102, 5644, 2063, 1010, 1030, 17928, 28689, 2213, 1006, 3223, 1027, 2995, 1007, 12046, 1026, 11343, 13874, 1028, 12046, 1010, 1030, 17928, 28689, 2213, 1006, 3643, 1027, 1000, 2058, 26373, 3130, 2580, 12046, 9563, 2065, 2009, 6526, 1012, 1000, 1009, 1000, 2069, 2951, 20125, 1998, 22073, 2024, 2058, 26373, 2078, 1025, 4493, 2951, 2685, 2024, 4895, 2532, 25969, 2098, 1012, 12398, 2015, 2000, 6270, 1012, 1000, 1010, 3223, 1027, 6270, 1007, 1030, 12398, 10175, 5657, 1006, 1000, 6270, 1000, 1007, 1030, 23032, 28689, 2213, 1006, 1000, 2058, 26373, 1000, 1007, 22017, 20898, 2058, 26373, 1010, 1030, 6123, 24471, 6137, 2078, 14876, 24471, 6137, 2078, 14876, 1007, 1063, 2065, 1006, 12046, 1012, 2131, 13874, 1006, 1007, 999, 1027, 19701, 1004, 1004, 12046, 13874, 1012, 6151, 28344, 999, 1027, 12046, 1012, 2131, 13874, 1006, 1007, 1004, 1004, 12046, 13874, 1012, 11343, 999, 1027, 12046, 1012, 2131, 13874, 1006, 1007, 1007, 1063, 2004, 6038, 16748, 13102, 5644, 2063, 1012, 13746, 1006, 2919, 2890, 15500, 1006, 2047, 17928, 2121, 29165, 1006, 1000, 12046, 2828, 2515, 2025, 2674, 1000, 1009, 12046, 13874, 1012, 11343, 1012, 2131, 18209, 1006, 1007, 1007, 1007, 1007, 1025, 1065, 24471, 2072, 3295, 1027, 24471, 6137, 2078, 14876, 1012, 2131, 15058, 9496, 8569, 23891, 2099, 1006, 1007, 1012, 4130, 1006, 1000, 1013, 11343, 1013, 1063, 8909, 1065, 1000, 1007, 1012, 3857, 1006, 12046, 1012, 2131, 3593, 1006, 1007, 1007, 1025, 12046, 1027, 2047, 12046, 1026, 1028, 1006, 2047, 12046, 3593, 1026, 1028, 1006, 2131, 6528, 4630, 1006, 1007, 1010, 11343, 1010, 12046, 1012, 2131, 12589, 3593, 1006, 1007, 1012, 2131, 18442, 1006, 1007, 1007, 1010, 12046, 1012, 2131, 15900, 2015, 1006, 1007, 1010, 12046, 1012, 2131, 2850, 7559, 12870, 16778, 2239, 1006, 1007, 1007, 1025, 12046, 18116, 7903, 2063, 1012, 3443, 12589, 1006, 12046, 1010, 2058, 26373, 1007, 1012, 4942, 29234, 1006, 2047, 12046, 16748, 4383, 16429, 8043, 6299, 1006, 2004, 6038, 16748, 13102, 5644, 2063, 1010, 3295, 1007, 1007, 1025, 1065, 1030, 2131, 1030, 4130, 1006, 1000, 1013, 1000, 1007, 1030, 17928, 25918, 3370, 1006, 3643, 1027, 1000, 2424, 16713, 1005, 1055, 12046, 15182, 1012, 1000, 1010, 3964, 1027, 1000, 2515, 2025, 2421, 2151, 12046, 5300, 1012, 1000, 1010, 3433, 1027, 12046, 1012, 2465, 1010, 3433, 8663, 18249, 2121, 1027, 1000, 2862, 1000, 1007, 1030, 17928, 6072, 26029, 8583, 1006, 3643, 1027, 1063, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 3263, 1010, 4471, 1027, 1000, 5147, 5140, 2012, 2560, 2028, 12046, 6210, 1012, 1000, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 19627, 1010, 4471, 1027, 1000, 2053, 12046, 2015, 2179, 1012, 1000, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 4278, 1010, 4471, 1027, 1000, 19528, 2828, 16381, 2828, 1012, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 3156, 1010, 4471, 1027, 1000, 3478, 2000, 12850, 12046, 2015, 2349, 2000, 9223, 7561, 1012, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1065, 1007, 2270, 11675, 2131, 12589, 2015, 1006, 1030, 6731, 2004, 6038, 16748, 13102, 5644, 2063, 2004, 6038, 16748, 13102, 5644, 2063, 1010, 1030, 17928, 28689, 2213, 1006, 3643, 1027, 1000, 2862, 1997, 22073, 17736, 1000, 1010, 3223, 1027, 6270, 1007, 1030, 23032, 28689, 2213, 1006, 1000, 22073, 1000, 1007, 5164, 22073, 1010, 1030, 17928, 28689, 2213, 1006, 3643, 1027, 1000, 18584, 8117, 1998, 4098, 2335, 15464, 4523, 1997, 2800, 2951, 26521, 1000, 1007, 1030, 12398, 10175, 5657, 1006, 1000, 6270, 1000, 1007, 1030, 23032, 28689, 2213, 1006, 1000, 2335, 15464, 4523, 1000, 1007, 22017, 20898, 18584, 7292, 9153, 25370, 1007, 1063, 27885, 8043, 12423, 1026, 12046, 1026, 11343, 13874, 1028, 1028, 12046, 16429, 8043, 12423, 1027, 19701, 1025, 2065, 1006, 22073, 999, 1027, 19701, 1007, 1063, 12046, 16429, 8043, 12423, 1027, 12046, 18116, 7903, 2063, 1012, 2424, 12589, 5178, 16778, 8873, 2545, 24415, 8873, 21928, 2015, 1006, 2131, 6528, 4630, 1006, 1007, 1010, 11343, 1010, 22073, 1007, 1012, 4257, 2863, 2361, 1006, 12046, 18116, 7903, 2063, 1024, 1024, 2424, 12589, 1007, 1025, 1065, 2842, 1063, 12046, 16429, 8043, 12423, 1027, 12046, 18116, 7903, 2063, 1012, 2424, 12589, 2015, 1006, 2131, 6528, 4630, 1006, 1007, 1010, 11343, 1007, 1025, 1065, 2065, 1006, 18584, 7292, 9153, 25370, 1007, 1063, 12046, 16429 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6302, 1024, 1996, 4922, 8665, 2265, 17266, 3270, 5797, 9946, 2513, 2000, 1996, 8665, 2265, 2006, 9857, 2000, 2831, 2000, 4922, 2055, 2010, 14751, 4038, 1523, 1996, 3428, 24470, 1012, 1524, 1996, 4512, 3139, 2019, 9140, 1997, 7832, 7478, 2013, 2010, 4474, 4862, 1043, 3311, 2012, 1996, 7436, 2015, 2000, 1037, 3478, 3535, 2012, 1037, 15528, 8714, 16012, 24330, 1998, 2339, 2002, 4188, 2000, 3233, 2091, 2006, 1037, 6221, 8398, 8257, 1012, 4638, 2041, 2035, 1996, 4751, 2917, 1012, 3352, 1037, 4715, 7570, 10893, 5289, 2320, 17266, 3270, 3133, 1996, 2996, 1010, 4922, 3107, 1996, 2329, 9971, 1521, 1055, 14751, 2895, 4038, 1523, 1996, 3428, 24470, 1010, 1524, 2029, 2003, 2055, 2048, 2394, 3428, 5459, 2012, 1037, 2200, 2402, 2287, 1012, 2028, 2567, 7502, 2039, 2000, 2468, 1996, 2088, 1521, 1055, 2190, 3595, 4005, 1006, 2928, 2844, 1007, 2096, 1996, 2060, 4150, 1037, 4715, 7570, 10893, 5289, 1006, 17266, 3270, 5797, 9946, 1007, 1012, 4922, 2359, 2000, 2113, 2062, 2055, 2054, 2009, 3214, 2000, 2022, 1037, 7570, 10893, 5289, 1010, 2061, 17266, 3270, 4541, 2000, 2131, 2046, 2010, 2535, 2002, 2018, 2000, 3942, 1037, 2261, 4715, 4184, 1010, 2029, 2003, 2178, 2171, 2005, 1037, 9047, 1998, 2025, 1996, 3647, 3367, 2173, 2000, 2022, 5689, 2105, 1012, 17266, 3270, 5086, 1037, 16174, 2000, 2175, 2007, 2032, 2000, 3942, 2028, 1997, 1996, 2087, 4795, 2967, 1010, 1996, 2569, 3626, 1012, 1996, 3457, 2409, 2032, 1010, 1523, 4952, 1010, 2074, 2061, 2017, 2113, 1045, 1521, 1049, 2183, 2000, 2022, 23293, 1999, 1529, 2065, 3087, 4282, 2017, 1521, 2310, 2288, 1037, 16174, 1010, 2017, 1521, 2128, 1999, 4390, 1010, 1524, 1996, 3457, 2409, 17266, 3270, 1012, 2035, 1997, 1996, 5573, 1996, 16174, 2018, 2028, 5404, 2044, 2178, 1999, 2010, 2192, 1010, 17266, 3270, 2409, 4922, 1012, 2306, 1037, 2431, 3178, 1997, 5738, 1996, 9047, 1010, 17266, 3270, 1521, 1055, 3404, 2100, 3860, 2001, 2979, 2041, 2006, 1996, 2723, 1012, 1996, 3457, 2001, 1037, 2334, 3124, 1998, 4593, 2288, 1037, 2210, 2205, 2046, 2839, 2096, 2183, 1523, 16382, 1012, 1524, 8025, 2055, 1996, 9580, 1010, 17266, 3270, 2356, 2028, 2569, 3626, 2266, 2005, 1037, 6057, 2466, 1998, 2023, 2003, 2054, 2002, 2001, 2409, 1024, 1523, 2045, 1521, 1055, 2028, 2051, 1045, 2001, 1999, 5087, 1998, 2057, 11364, 2023, 2158, 1012, 2057, 2716, 2032, 2067, 2000, 2010, 2160, 1998, 2057, 2404, 25007, 7318, 2006, 3182, 2006, 2010, 2303, 2008, 2057, 5807, 1521, 1056, 2031, 1998, 2059, 2057, 8682, 2039, 2010, 7381, 1010, 1524, 1996, 7570, 10893, 5289, 2409, 17266, 3270, 1012, 17266, 3270, 3880, 1010, 1523, 7910, 1010, 2031, 2017, 2288, 2151, 2130, 4569, 14862, 3441, 1029, 1524, 4922, 2001, 15261, 2012, 1996, 3091, 2012, 2029, 17266, 3270, 2097, 2175, 2000, 2131, 2046, 2010, 3494, 2021, 2008, 2001, 2069, 1996, 5955, 1997, 1996, 3256, 4059, 1999, 2023, 5216, 5149, 2394, 3347, 1012, 2893, 2627, 1996, 6131, 11057, 4922, 2359, 2000, 2113, 2054, 5225, 17266, 3270, 2000, 3443, 2107, 3748, 1998, 2058, 1011, 1996, 1011, 2327, 5691, 2066, 1523, 8945, 8609, 1524, 1998, 1523, 10391, 1012, 1524, 1523, 1996, 4507, 2003, 2023, 1010, 7714, 1045, 2131, 2200, 11471, 3773, 2471, 2296, 3185, 1012, 1045, 2424, 2009, 2524, 2000, 4133, 2045, 1010, 1045, 2424, 2009, 2524, 2000, 2131, 2000, 1996, 2203, 1010, 1524, 17266, 3270, 2409, 2032, 1012, 1523, 1045, 3046, 2000, 2191, 2122, 3152, 11973, 1012, 1524, 4922, 4197, 2041, 1999, 17266, 3270, 1521, 1055, 2047, 17312, 2045, 2024, 2055, 2274, 2030, 2416, 5312, 2008, 2024, 2428, 2058, 1996, 2327, 1012, 4922, 2356, 17266, 3270, 2065, 2002, 14436, 2015, 4760, 1996, 3185, 2000, 8412, 12706, 2320, 2009, 1521, 1055, 2736, 2000, 2029, 17266, 3270, 3880, 1010, 1523, 2748, 1010, 2021, 1996, 2996, 2941, 3866, 1996, 3185, 2043, 2027, 12238, 2009, 1012, 1524, 1996, 2613, 3231, 2005, 17266, 3270, 2003, 2893, 1996, 3185, 2011, 1996, 6131, 11057, 1006, 1996, 4367, 3861, 2523, 1997, 2637, 1007, 2144, 2027, 1521, 2128, 1996, 3924, 2040, 24414, 1996, 2880, 3185, 5790, 1012, 17266, 3270, 22906, 2129, 2002, 6427, 1996, 6131, 11057, 2000, 2507, 10391, 2019, 1054, 5790, 2043, 2011, 2010, 2219, 9634, 2009, 2323, 1521, 2310, 2042, 13316, 1011, 2459, 2349, 2000, 1037, 3429, 1011, 2117, 7142, 2915, 1997, 1037, 19085, 1012, 1523, 1045, 2113, 2008, 1045, 2031, 1037, 2208, 2007, 1996, 6131, 11057, 1010, 1524, 2002, 2056, 1010, 8669, 2008, 2045, 2003, 1037, 4118, 2000, 2010, 8690, 12013, 1012, 1999, 2010, 6745, 17312, 2045, 1521, 1055, 2019, 9577, 2978, 2073, 1996, 2048, 3428, 2342, 2000, 1523, 5342, 2503, 1997, 2019, 10777, 1521, 1055, 12436, 20876, 1524, 1998, 17266, 3270, 2354, 5825, 2046, 2010, 3116, 2007, 1996, 6131, 11057, 2008, 2002, 2359, 1996, 3496, 2000, 2022, 2055, 2093, 2781, 2146, 1012, 2000, 2131, 2010, 4299, 2002, 5359, 1037, 3013, 2007, 1037, 3157, 1011, 3371, 2544, 1997, 2023, 3496, 2061, 2008, 2043, 2002, 3013, 2041, 2416, 2781, 2009, 2052, 4025, 2066, 1996, 6131, 11057, 2288, 1037, 2235, 3377, 1012, 2478, 1996, 2327, 2569, 3896, 2136, 1999, 1996, 3068, 4922, 2001, 7622, 2129, 12689, 1996, 2143, 10777, 1521, 1055, 19085, 2246, 1999, 1996, 3185, 1012, 17266, 3270, 6727, 4922, 2008, 2002, 5086, 20608, 3660, 1521, 1055, 4013, 3367, 20086, 2015, 2136, 1012, 9946, 2018, 1996, 2168, 2569, 3896, 5972, 2013, 5691, 2066, 1523, 2732, 5233, 1524, 2000, 28024, 1996, 14397, 10536, 4063, 2213, 1521, 1055, 6887, 8095, 2594, 2266, 1012, 2045, 2020, 2706, 1997, 12929, 2008, 2253, 2046, 2019, 1523, 2019, 9581, 15312, 2594, 10338, 1010, 1524, 2002, 2409, 4922, 1012, 2178, 13432, 3496, 1999, 1996, 3185, 2920, 1037, 2312, 3815, 1997, 10777, 1041, 3900, 19879, 2618, 1998, 17266, 3270, 3936, 2010, 3595, 2005, 2437, 12689, 1011, 2559, 4111, 7367, 3549, 1012, 1523, 1045, 1521, 1049, 2183, 2000, 2425, 2017, 2242, 2055, 1996, 10777, 13988, 1010, 1524, 17266, 3270, 2211, 1012, 1523, 1996, 8331, 2008, 2087, 15796, 2015, 10777, 13988, 2003, 9383, 1521, 1055, 12901, 1012, 1524, 1998, 2008, 2003, 5262, 2054, 17266, 3270, 2056, 2002, 2109, 2005, 1996, 2143, 1012, 1037, 2448, 1999, 2007, 1059, 27266, 27605, 2099, 1047, 15909, 11624, 3683, 6302, 1024, 8637, 1013, 10975, 7760, 4922, 2359, 2000, 2113, 2065, 17266, 3270, 2018, 2412, 15807, 2619, 2061, 2919, 1010, 2002, 8615, 3558, 7386, 1012, 17266, 3270, 2409, 4922, 1037, 2466, 1997, 2129, 2002, 2743, 2046, 4386, 2751, 12968, 1998, 2280, 8362, 8366, 3410, 1059, 27266, 27605, 2099, 1047, 15909, 11624, 3683, 2012, 1037, 4825, 1037, 2261, 2086, 3283, 1012, 5373, 1010, 2008, 2876, 1521, 1056, 2022, 1037, 2502, 3066, 2021, 2720, 1012, 1047, 15909, 11624, 3683, 2003, 2013, 11769, 1010, 1996, 2406, 17266, 3270, 1521, 1055, 8945, 8609, 2839, 4447, 2004, 2188, 1012, 1037, 15610, 5411, 17266, 3270, 2012, 1996, 4825, 1998, 2409, 2032, 2008, 1047, 15909, 11624, 3683, 2052, 2293, 2000, 3113, 2032, 1012, 17266, 3270, 2939, 2058, 2000, 2010, 2795, 1998, 3668, 2010, 2192, 1010, 2029, 1047, 15909, 11624, 3683, 7933, 9672, 2007, 2053, 6808, 1997, 5599, 2175, 1012, 2574, 17266, 3270, 1521, 1055, 2564, 1998, 3507, 3364, 25340, 8731, 2234, 2058, 12097, 2000, 2022, 1037, 5294, 5470, 1998, 2356, 2005, 2019, 8285, 14413, 2061, 1059, 27266, 27605, 2099, 2052, 2713, 2014, 3129, 1521, 1055, 2192, 1010, 2021, 2008, 4928, 2000, 2025, 2147, 2004, 1996, 2280, 8366, 2766, 17266, 3270, 3553, 1998, 5168, 2409, 2032, 1024, 1523, 2017, 26608, 2026, 2406, 1012, 1045, 1521, 1049, 2013, 11769, 1012, 2339, 2106, 2017, 2079, 2008, 1029, 1524, 1523, 1045, 1521, 1049, 2941, 2559, 2005, 4933, 2006, 1996, 2795, 2000, 6723, 2907, 1997, 1998, 2066, 1010, 2131, 1037, 9292, 1998, 17079, 2032, 1010, 1524, 17266, 3270, 2431, 1011, 19700, 2000, 4922, 1012, 1996, 3364, 12254, 2007, 2032, 2008, 2009, 2001, 2069, 1037, 8257, 1998, 2044, 1037, 9145, 2093, 2781, 1010, 1059, 27266, 27605, 2099, 2318, 2000, 4756, 1998, 2409, 17266, 3270, 2002, 2001, 16644, 1998, 2134, 1521, 1056, 2568, 1996, 2143, 2012, 2035, 1012, 1999, 2755, 1010, 2002, 2056, 2002, 2245, 2009, 2001, 6057, 1012, 4913, 15775, 27877, 2571, 3569, 4862, 1043, 1521, 1055, 7436, 3311, 2012, 2197, 3204, 1521, 1055, 2914, 2982, 1010, 17266, 3270, 2320, 2153, 2766, 2028, 2058, 2006, 1996, 4204, 2008, 2022, 2076, 5365, 1521, 1055, 2087, 8919, 2400, 2265, 1012, 2027, 2699, 2000, 27206, 2032, 2013, 2725, 2505, 2125, 1011, 5896, 1010, 2029, 2357, 2041, 2000, 5245, 2032, 2130, 2582, 2046, 1996, 2978, 1012, 2012, 2023, 2095, 1521, 1055, 2724, 1010, 1996, 3768, 1997, 8906, 5921, 17853, 2001, 1037, 2980, 6462, 8476, 1999, 1996, 3134, 2877, 2039, 2000, 1996, 2265, 1012, 17266, 3270, 6618, 2023, 2052, 2022, 1037, 2307, 27961, 2005, 4862, 1043, 2000, 2191, 2019, 3311, 1012, 17266, 3270, 2409, 4922, 2002, 2354, 2054, 2002, 2359, 2010, 3098, 2240, 2000, 2022, 1024, 1523, 1045, 2113, 2054, 2017, 2015, 2035, 2024, 3241, 1010, 1996, 2914, 2038, 2716, 2006, 2178, 19204, 2304, 10044, 1012, 1524, 2021, 2077, 2183, 2083, 2007, 2009, 1010, 9946, 2179, 2019, 2394, 2767, 2000, 2448, 2009, 2627, 1012, 1996, 2767, 2409, 2032, 2009, 2001, 1037, 2919, 2801, 1010, 2061, 2002, 2179, 2619, 2062, 11414, 2000, 2507, 2032, 1996, 2665, 2422, 2000, 2079, 1996, 8257, 1024, 4913, 15775, 27877, 2571, 1012, 17266, 3270, 2387, 15775, 27877, 2571, 20212, 1998, 2002, 2855, 8219, 2032, 1996, 2240, 2002, 2359, 2000, 2360, 2043, 2002, 2939, 2041, 1012, 4913, 2409, 2032, 2008, 2009, 2001, 1523, 2307, 1524, 1998, 2435, 2032, 1996, 6011, 15185, 4818, 16784, 2039, 2000, 2079, 2009, 1012, 17266, 3270, 14456, 2008, 2018, 4913, 2025, 2445, 2032, 1996, 2175, 3805, 2002, 2763, 2876, 1521, 1056, 2031, 2056, 1996, 6801, 2240, 1012, 2009, 2001, 4821, 9946, 1521, 1055, 2564, 25340, 8731, 2040, 20673, 11533, 1996, 4862, 1043, 9427, 1999, 1012, 1998, 2000, 5621, 7374, 1010, 2002, 1998, 2010, 2564, 2018, 2000, 10436, 2046, 1037, 5723, 2005, 2871, 2781, 2061, 17266, 3270, 2071, 6611, 2010, 2839, 1521, 1055, 13268, 2606, 1012, 2004, 6443, 16460, 9022, 2005, 1996, 3364, 1010, 17266, 3270, 1521, 1055, 2270, 2923, 2409, 2068, 2002, 2018, 22939, 12171, 20192, 1998, 2347, 1521, 1056, 3110, 2092, 1012, 2043, 2002, 2633, 2234, 2041, 1997, 1996, 5723, 1010, 17266, 3270, 2056, 2002, 2018, 2000, 3104, 2010, 10154, 2007, 2010, 2192, 2061, 2053, 2028, 2052, 2022, 7968, 2000, 2010, 2933, 2077, 3788, 2041, 2006, 2754, 1012, 2002, 6727, 2010, 2522, 1011, 10044, 1010, 7710, 18575, 1010, 3823, 2077, 3788, 2041, 1998, 2016, 2001, 6135, 2046, 2009, 1010, 5094, 2032, 2404, 1996, 2345, 12817, 2006, 2010, 3311, 1012, 17266, 3270, 4541, 2008, 2320, 2002, 2939, 2006, 2754, 2295, 1010, 2477, 2371, 2125, 1024, 1523, 1045, 2001, 5191, 2138, 1045, 2253, 2041, 2045, 1045, 2134, 1521, 1056, 2963, 2151, 1529, 4668, 1010, 1524, 2002, 4914, 1012, 1523, 1998, 2059, 1045, 3651, 2941, 2776, 1996, 4950, 2001, 2025, 2006, 2033, 1524, 2664, 1012, 2320, 1996, 4950, 2106, 2455, 2006, 9946, 1010, 2002, 2657, 1037, 3835, 12008, 2013, 1996, 4378, 1012, 1523, 1045, 1521, 1049, 2467, 2667, 2000, 2131, 5045, 1010, 1524, 2002, 19700, 1012, 1037, 3478, 15528, 8714, 16012, 24330, 4922, 2036, 2356, 2055, 1996, 15528, 8714, 16012, 24330, 9946, 2018, 7283, 2042, 2551, 2006, 2005, 2416, 2086, 1012, 17266, 3270, 2056, 1999, 1996, 2203, 1010, 2009, 2074, 2134, 1521, 1056, 6090, 2041, 2004, 2002, 25155, 1037, 24842, 17579, 1010, 3968, 11239, 2099, 2143, 2084, 2054, 1996, 3588, 3035, 2316, 2372, 9059, 1012, 1523, 2045, 2024, 6429, 3441, 2055, 15528, 8714, 1529, 1996, 3124, 2001, 3748, 1010, 1524, 2002, 4541, 1012, 1996, 2316, 1010, 2295, 1010, 2790, 2000, 2022, 2062, 4699, 1999, 8650, 2037, 8027, 2084, 7694, 1996, 2995, 7861, 5092, 21341, 1997, 15835, 2028, 1997, 1996, 4602, 5755, 2600, 2038, 2412, 2124, 1010, 1999, 9946, 1521, 1055, 5448, 1012, 17266, 3270, 4914, 2002, 2323, 1521, 2310, 3333, 2041, 1997, 1996, 2622, 2044, 1996, 2034, 3116, 2043, 2028, 1997, 1996, 2316, 2372, 1516, 17266, 3270, 2876, 1521, 1056, 2360, 2029, 2028, 1516, 2409, 2032, 2008, 15528, 8714, 1521, 1055, 2839, 2052, 3280, 8576, 2083, 1996, 3185, 1012, 17266, 3270, 5071, 2027, 2359, 2000, 2191, 1037, 1523, 16016, 4349, 1524, 2828, 3185, 2073, 2673, 2001, 2041, 1997, 2344, 1012, 2021, 1996, 3606, 2001, 1996, 2316, 2359, 1037, 7399, 3185, 2008, 3662, 2129, 2092, 2027, 2035, 2106, 2044, 15528, 1521, 1055, 4895, 7292, 2135, 2331, 1012, 2012, 1996, 2203, 1997, 1996, 2154, 1010, 17266, 3270, 16833, 2098, 2009, 2039, 2000, 2019, 1523, 6018, 4489, 1012, 1524, 1037, 6801, 6221, 8398, 3496, 1999, 17266, 3270, 1521, 1055, 14751, 3185, 1523, 1996, 3428, 24470, 1010, 1524, 2045, 1521, 1055, 1037, 6801, 3496, 2008, 11230, 1043, 1012, 1051, 1012, 1052, 1012, 4883, 4018, 6221 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 9385, 1006, 1039, 1007, 2727, 1010, 2418, 1010, 14721, 1998, 1013, 2030, 2049, 18460, 1012, 2035, 2916, 9235, 1012, 1008, 2079, 2025, 11477, 2030, 6366, 9385, 14444, 2030, 2023, 5371, 20346, 1012, 1008, 1008, 2023, 3642, 2003, 2489, 4007, 1025, 2017, 2064, 2417, 2923, 3089, 8569, 2618, 2009, 1998, 1013, 2030, 19933, 2009, 1008, 2104, 1996, 3408, 1997, 1996, 27004, 2236, 2270, 6105, 2544, 1016, 2069, 1010, 2004, 1008, 2405, 2011, 1996, 2489, 4007, 3192, 1012, 14721, 24414, 2015, 2023, 1008, 3327, 5371, 2004, 3395, 2000, 1996, 1000, 2465, 15069, 1000, 6453, 2004, 3024, 1008, 2011, 14721, 1999, 1996, 6105, 5371, 2008, 5642, 2023, 3642, 1012, 1008, 1008, 2023, 3642, 2003, 5500, 1999, 1996, 3246, 2008, 2009, 2097, 2022, 6179, 1010, 2021, 2302, 1008, 2151, 10943, 2100, 1025, 2302, 2130, 1996, 13339, 10943, 2100, 1997, 6432, 8010, 2030, 1008, 10516, 2005, 1037, 3327, 3800, 1012, 2156, 1996, 27004, 2236, 2270, 6105, 1008, 2544, 1016, 2005, 2062, 4751, 1006, 1037, 6100, 2003, 2443, 1999, 1996, 6105, 5371, 2008, 1008, 5642, 2023, 3642, 1007, 1012, 1008, 1008, 2017, 2323, 2031, 2363, 1037, 6100, 1997, 1996, 27004, 2236, 2270, 6105, 2544, 1008, 1016, 2247, 2007, 2023, 2147, 1025, 2065, 2025, 1010, 4339, 2000, 1996, 2489, 4007, 3192, 1010, 1008, 4297, 1012, 1010, 4868, 5951, 2358, 1010, 3587, 2723, 1010, 3731, 1010, 5003, 6185, 14526, 2692, 1011, 7558, 2487, 3915, 1012, 1008, 1008, 3531, 3967, 14721, 1010, 3156, 14721, 12602, 1010, 27552, 13312, 1010, 6187, 6365, 2692, 26187, 3915, 1008, 2030, 3942, 7479, 1012, 14721, 1012, 4012, 2065, 2017, 2342, 3176, 2592, 2030, 2031, 2151, 1008, 3980, 1012, 1008, 1013, 1013, 1008, 1008, 1996, 6994, 23615, 2465, 2038, 2048, 4972, 1024, 2009, 7107, 13143, 2015, 1996, 22091, 2102, 1008, 6994, 23615, 28084, 2099, 1005, 1055, 3128, 4725, 1010, 1998, 3640, 1996, 21469, 2140, 1005, 1055, 4563, 4972, 1012, 1008, 1008, 2045, 2024, 2048, 3971, 2023, 21469, 2140, 2064, 2022, 2109, 1024, 2593, 2004, 1037, 8790, 3973, 1011, 1008, 8209, 9262, 3128, 3075, 2013, 1996, 19555, 1010, 2030, 2011, 1037, 3645, 1011, 1008, 3563, 10439, 1012, 1996, 2034, 5450, 5942, 2008, 1996, 6994, 23615, 3073, 1008, 2035, 2490, 2734, 2061, 1996, 10439, 2064, 3853, 2004, 1037, 2034, 1011, 2465, 3645, 1008, 10439, 1010, 2096, 1996, 2117, 15980, 2008, 1996, 10439, 2097, 3073, 2008, 1008, 15380, 1012, 2029, 5549, 2023, 21469, 2140, 4972, 1999, 2003, 4340, 2011, 1008, 2029, 3988, 3989, 20680, 2003, 2109, 1012, 2065, 1996, 6994, 23615, 2003, 3833, 1008, 5373, 1010, 2059, 1996, 6994, 23615, 2097, 2031, 2049, 2219, 10216, 1012, 2065, 2009, 2003, 12045, 1008, 3988, 3550, 2005, 2019, 11157, 4044, 1006, 3081, 1037, 10763, 4118, 2006, 1008, 3103, 1012, 22091, 2102, 1012, 3645, 1012, 1059, 3406, 4747, 23615, 1007, 1010, 2059, 2009, 2097, 11160, 2006, 2019, 6327, 4471, 1008, 10216, 1012, 1008, 1008, 1996, 2087, 3937, 15380, 2734, 2003, 1037, 3645, 4471, 10216, 1006, 2036, 1008, 2124, 2004, 1037, 4471, 7077, 1007, 1012, 2043, 2019, 9262, 10439, 2003, 2318, 2004, 1037, 10122, 1008, 10439, 2011, 1996, 19555, 1010, 1996, 6994, 23615, 3791, 2000, 3073, 2008, 4471, 1008, 10216, 2065, 1996, 22091, 2102, 2003, 8790, 3973, 8209, 1012, 1008, 1013, 1001, 2065, 13629, 2546, 22091, 2102, 1035, 6994, 23615, 1035, 1044, 1001, 9375, 22091, 2102, 1035, 6994, 23615, 1035, 1044, 1001, 2421, 1000, 22091, 2102, 1012, 1044, 1000, 1001, 2421, 1000, 22091, 21246, 28745, 1012, 1044, 1000, 1001, 2421, 1000, 7637, 1012, 1044, 1000, 1001, 2421, 1000, 3103, 1035, 22091, 2102, 1035, 3645, 1035, 1059, 3406, 4747, 23615, 1012, 1044, 1000, 2465, 22091, 3406, 2497, 20614, 1025, 2465, 22091, 2102, 27184, 8649, 1025, 2465, 22091, 2102, 25711, 7559, 18150, 1025, 21189, 12879, 11675, 1006, 2655, 5963, 1008, 18373, 21572, 2278, 1007, 1006, 11675, 1007, 1025, 21189, 12879, 22017, 2140, 1006, 2655, 5963, 1008, 19043, 7834, 3736, 3351, 21572, 2278, 1007, 1006, 5796, 2290, 1004, 1007, 1025, 1013, 1013, 2358, 6820, 6593, 2005, 1035, 2663, 18780, 11368, 6806, 2094, 1035, 9585, 1064, 4487, 19150, 19833, 3512, 14428, 4118, 2358, 6820, 6593, 9585, 19833, 3512, 14428, 3367, 6820, 6593, 1063, 3105, 20614, 2969, 1025, 3105, 20614, 8152, 1025, 9743, 2102, 6123, 1025, 1046, 5092, 9890, 2319, 2224, 19833, 3512, 9006, 28400, 22254, 5004, 1025, 1065, 1025, 1013, 1008, 1008, 2465, 1046, 3490, 4135, 9289, 15643, 1008, 5245, 1013, 3769, 4135, 9289, 15643, 2393, 2121, 1008, 1013, 2465, 1046, 3490, 4135, 9289, 15643, 1063, 2270, 1024, 23881, 1046, 3490, 4135, 9289, 15643, 1006, 1046, 8034, 2078, 2615, 1008, 4372, 2615, 1010, 20014, 2946, 1007, 1063, 1049, 1035, 4372, 2615, 1027, 4372, 2615, 1025, 20014, 2765, 1027, 1049, 1035, 4372, 2615, 1011, 1028, 5245, 4135, 9289, 15643, 1006, 2946, 1007, 1025, 2065, 1006, 2765, 1026, 1014, 1007, 1063, 8695, 8043, 2102, 1006, 6270, 1007, 1025, 5466, 2358, 2094, 1024, 1024, 2919, 1035, 2035, 10085, 1006, 1007, 1025, 1065, 1065, 23881, 1066, 1046, 3490, 4135, 9289, 15643, 1006, 1007, 1063, 1049, 1035, 4372, 2615, 1011, 1028, 3769, 4135, 9289, 15643, 1006, 19701, 1007, 1025, 1065, 2797, 1024, 1046, 8034, 2078, 2615, 1008, 1049, 1035, 4372, 2615, 1025, 1065, 1025, 1013, 1008, 1008, 2465, 4187, 29015, 1008, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1008, 12038, 26721, 1011, 2832, 11689, 26351, 8093, 10698, 9276, 1012, 2064, 2069, 2022, 2109, 2007, 1008, 2060, 4187, 5433, 1010, 1998, 2069, 2306, 1996, 2168, 2832, 1012, 1008, 1013, 2465, 4187, 29015, 1063, 2270, 1024, 23881, 4187, 29015, 1006, 1007, 1063, 1024, 1024, 3988, 4697, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 23881, 1066, 4187, 29015, 1006, 1007, 1063, 1024, 1024, 3972, 12870, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 2465, 5843, 1063, 2270, 1024, 23881, 5843, 1006, 9530, 3367, 4187, 29015, 1004, 20116, 1007, 1024, 13675, 12762, 8586, 1006, 20116, 1007, 1063, 1006, 9530, 3367, 1035, 3459, 1026, 4187, 29015, 1004, 1028, 1006, 13675, 12762, 8586, 1007, 1007, 1012, 4607, 1006, 1007, 1025, 1065, 23881, 1066, 5843, 1006, 1007, 1063, 1006, 9530, 3367, 1035, 3459, 1026, 4187, 29015, 1004, 1028, 1006, 13675, 12762, 8586, 1007, 1007, 1012, 2681, 1006, 1007, 1025, 1065, 2797, 1024, 9530, 3367, 4187, 29015, 1004, 13675, 12762, 8586, 1025, 1065, 1025, 2767, 2465, 5843, 1025, 2797, 1024, 4187, 1035, 2930, 16360, 1025, 4187, 29015, 1006, 9530, 3367, 4187, 29015, 1004, 1007, 1025, 9530, 3367, 4187, 29015, 1004, 6872, 1027, 1006, 9530, 3367, 4187, 29015, 1004, 1007, 1025, 2270, 1024, 7484, 11675, 4607, 1006, 1007, 1063, 1024, 1024, 4607, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 7484, 22017, 2140, 3046, 29110, 1006, 1007, 1063, 2709, 1024, 1024, 3046, 29110, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 7484, 11675, 2681, 1006, 1007, 1063, 1024, 1024, 2681, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 1065, 1025, 1013, 1013, 26632, 2015, 2005, 2478, 4187, 29015, 5200, 2008, 2393, 7637, 1013, 1013, 5843, 1013, 19829, 4506, 1013, 1008, 2224, 2023, 1035, 5371, 2043, 2009, 2003, 2800, 1012, 1008, 1013, 1001, 2065, 13629, 2546, 2023, 1035, 5371, 1001, 9375, 2023, 1035, 5371, 1035, 1035, 5371, 1035, 1035, 1001, 2203, 10128, 1001, 9375, 4187, 1035, 2930, 1035, 4607, 1006, 20116, 1007, 1063, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 3524, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1006, 20116, 1007, 1012, 4607, 1006, 1007, 1025, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 4607, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1065, 1001, 9375, 4187, 1035, 2930, 1035, 2681, 1006, 20116, 1007, 1063, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 2681, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1006, 20116, 1007, 1012, 2681, 1006, 1007, 1025, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 2187, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1065, 1013, 1013, 2417, 12879, 3170, 2663, 9331, 2072, 5300, 3141, 2000, 3543, 7953, 1010, 2065, 9808, 1026, 3645, 1021, 1012, 1001, 2065, 1006, 999, 4225, 1006, 2663, 6299, 1007, 1064, 1064, 1006, 1006, 2663, 6299, 1007, 1026, 1014, 2595, 2692, 16086, 2487, 1007, 1007, 1013, 1008, 1008, 4236, 24826, 2818, 11101, 5004, 5210, 5300, 1008, 1013, 1001, 9375, 1056, 2860, 2546, 1035, 2986, 24826, 2818, 1006, 1014, 2595, 8889, 8889, 8889, 24096, 1007, 1001, 9375, 1056, 2860, 2546, 1035, 2215, 12952, 2213, 1006, 1014, 2595, 8889, 8889, 8889, 2692, 2475, 1007, 1001, 9375, 1059, 2213, 1035, 3543, 1014, 2595, 2692, 18827, 2692, 1013, 1008, 1008, 3543, 7953, 5047, 1008, 1013, 21189, 12879, 5047, 1044, 24826, 17231, 18780, 1025, 21189, 12879, 2358, 6820, 6593, 6415, 24826, 17231, 18780, 1063, 2146, 1060, 1025, 2146, 1061, 1025, 5047, 26236, 8162, 3401, 1025, 1040, 18351, 1040, 9148, 2094, 1025, 1040, 18351, 1040, 2860, 10258, 26454, 1025, 1040, 18351, 1040, 2860, 9335, 2243, 1025, 1040, 18351, 1040, 26677, 14428, 1025, 17359, 5063, 1035, 13866, 2099, 1040, 8545, 18413, 21166, 14876, 1025, 1040, 18351, 1039, 2595, 8663, 2696, 6593, 1025, 1040, 18351, 22330, 8663, 2696, 6593, 1025, 1065, 3543, 2378, 18780, 1010, 1008, 13866, 7140, 17231, 18780, 1025, 21189, 12879, 3543, 2378, 18780, 9530, 3367, 1008, 7473, 24826, 17231, 18780, 1025, 1013, 1008, 1008, 3543, 7953, 5210, 5300, 1006, 3543, 2378, 18780, 1012, 1040, 2860, 10258, 26454, 1007, 1008, 1013, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2693, 1014, 2595, 8889, 24096, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2091, 1014, 2595, 8889, 2692, 2475, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2039, 1014, 2595, 8889, 2692, 2549, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 1999, 24388, 2063, 1014, 2595, 8889, 2692, 2620, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 3078, 1014, 2595, 8889, 10790, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2053, 3597, 23266, 3401, 1014, 2595, 8889, 11387, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 7279, 1014, 2595, 8889, 12740, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 5340, 1014, 2595, 8889, 17914, 1001, 2203, 10128, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 22091, 9284, 4747, 23615, 2465, 1008, 1013, 2465, 22091, 9284, 4747, 23615, 1063, 2270, 1024, 4372, 2819, 1063, 21677, 1035, 2110, 1035, 2946, 1027, 17273, 1065, 1025, 1013, 1008, 9262, 1012, 22091, 2102, 1012, 6994, 23615, 4118, 8909, 2015, 1008, 1013, 10763, 1046, 11368, 6806, 4305, 2094, 2131, 3207, 7011, 11314, 3406, 4747, 23615, 4328, 2094, 1025, 10763, 1046, 11368, 6806, 4305, 2094, 2131, 14876, 3372, 12589, 6491, 3593, 1025, 10763, 1046, 11368, 6806, 4305, 2094, 16021, 8454, 4328, 2094, 1025, 1013, 1008, 3103, 1012, 22091, 2102, 1012, 3645, 1012, 1059, 3406, 4747, 23615, 8909, 2015, 1008, 1013, 10763, 1046, 11368, 6806, 4305 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1040, 3654, 2361, 1011, 2865, 1013, 4895, 16451, 11106, 3549, 1024, 16266, 9336, 2078, 2177, 4297, 1012, 1059, 2243, 2078, 1024, 22441, 2094, 4160, 2099, 2575, 2019, 27102, 4078, 2022, 13149, 3215, 1024, 10651, 7861, 14376, 11106, 26896, 2290, 1024, 2844, 4965, 13970, 2869, 14272, 2140, 10210, 9834, 19699, 2923, 8004, 1024, 1017, 1010, 4002, 7327, 2099, 13970, 2869, 14272, 2140, 11374, 19699, 2923, 8004, 1024, 1019, 1010, 4002, 7327, 2099, 2454, 2368, 15671, 2232, 12314, 4241, 11140, 11417, 3334, 2063, 17985, 1011, 4682, 7512, 28943, 2378, 8237, 5575, 16216, 19570, 5886, 2102, 1011, 17712, 9515, 3742, 12848, 4895, 3334, 4783, 13777, 22513, 999, 4895, 8043, 17985, 2327, 1011, 4060, 3280, 22827, 17190, 22842, 16266, 9336, 2078, 1006, 1059, 2243, 2078, 22441, 2094, 4160, 2099, 2575, 1007, 2310, 8024, 8630, 12870, 27665, 11417, 3334, 2063, 4682, 7512, 28943, 2378, 8237, 5575, 1012, 8289, 21541, 2022, 2890, 12762, 8695, 2852, 27100, 4682, 27709, 2497, 3683, 20058, 2078, 5110, 8865, 2497, 13970, 15378, 20367, 27838, 4183, 6151, 16417, 11721, 17884, 6519, 13852, 25538, 2454, 2368, 18163, 20501, 2063, 1012, 15536, 2063, 16266, 9336, 2078, 1006, 1059, 2243, 2078, 22441, 2094, 4160, 2099, 2575, 1007, 2310, 10867, 14273, 12870, 1010, 8814, 25547, 10210, 17183, 4895, 16451, 11106, 3549, 13207, 4353, 3589, 1006, 1000, 4647, 6392, 2497, 1000, 1010, 4382, 19098, 5054, 16874, 7373, 5910, 13473, 6216, 4315, 4013, 6371, 2480, 2329, 3996, 1007, 27665, 14689, 7033, 3215, 2121, 26086, 15532, 2290, 4895, 3334, 4371, 7033, 7159, 1012, 25520, 16417, 2022, 14550, 9759, 13512, 2121, 9056, 2368, 21548, 3334, 4013, 8566, 10431, 2102, 15536, 4103, 8695, 4895, 16451, 11106, 3549, 1999, 7939, 9413, 16173, 2260, 13813, 6528, 6583, 2818, 4315, 3423, 17417, 2121, 5575, 2019, 15143, 25394, 2818, 4895, 3351, 7011, 8093, 1017, 1012, 5786, 2487, 1012, 7706, 13250, 2213, 1006, 6187, 1012, 1017, 1012, 5786, 2475, 2243, 2290, 1007, 27969, 11039, 19960, 10993, 5498, 22842, 2015, 17985, 2019, 4647, 6392, 2497, 4682, 7512, 2078, 1012, 3280, 15536, 10143, 8004, 16173, 7196, 2618, 1011, 16266, 9336, 2078, 8814, 25547, 17151, 3351, 4213, 7317, 2102, 1010, 8529, 17985, 6519, 3562, 17112, 8545, 19869, 2019, 7939, 2928, 2102, 1999, 2329, 3996, 16950, 4682, 7512, 2078, 1012, 1011, 8695, 4895, 16451, 11106, 3549, 2358, 5714, 20492, 16950, 1010, 2568, 4355, 6132, 1017, 1012, 5786, 2487, 1012, 7706, 13250, 2213, 4013, 14855, 8093, 6519, 4647, 6392, 2497, 2022, 2890, 8838, 19966, 14774, 2078, 1012, 1011, 16266, 9336, 2078, 6045, 6892, 2480, 2102, 2190, 10450, 13512, 2063, 2035, 12352, 3508, 2368, 3854, 17985, 16950, 3562, 17112, 8545, 19766, 6519, 10512, 1010, 7649, 6151, 2329, 3996, 10210, 27665, 2213, 3296, 17417, 8743, 2368, 3872, 2078, 3854, 2184, 1012, 6227, 2509, 1012, 2531, 13250, 2213, 1006, 6187, 1012, 2184, 1012, 6227, 2509, 2243, 2290, 1007, 1012, 1000, 16266, 9336, 2078, 21541, 11693, 17580, 3334, 2102, 1010, 27665, 14689, 7033, 3215, 2121, 26086, 15532, 2290, 10210, 4647, 6392, 2497, 16950, 8040, 27766, 2063, 17499, 2078, 6151, 15536, 2099, 8254, 2094, 2358, 4747, 2480, 18243, 4887, 2546, 10210, 1045, 7295, 2368, 25520, 4256, 22894, 7389, 2094, 8289, 2121, 21200, 2890, 6914, 4181, 2928, 9589, 11263, 8093, 5575, 13102, 14949, 2063, 16950, 12098, 19205, 6528, 1010, 1000, 7842, 13512, 2063, 14915, 12849, 10286, 1010, 3580, 2343, 2310, 22379, 16093, 6151, 5821, 1010, 16266, 9336, 2078, 2177, 4297, 1012, 2022, 2890, 12762, 2190, 11106, 10497, 2063, 4682, 7512, 28943, 2378, 8237, 23239, 1024, 16950, 7485, 2480, 2102, 8814, 18246, 2022, 2890, 12762, 1062, 19845, 4682, 27709, 2497, 3683, 20058, 2078, 17924, 2310, 25301, 10623, 5575, 4078, 2928, 4570, 1999, 7649, 6151, 10512, 10210, 17985, 21572, 28351, 6528, 11113, 8449, 2818, 10483, 5054, 1012, 2572, 2756, 1012, 5757, 1012, 2760, 2310, 10867, 14273, 12870, 8695, 4895, 16451, 11106, 3549, 1010, 8695, 2015, 27665, 4682, 7512, 28943, 2378, 8237, 5575, 10210, 4315, 10512, 13207, 1004, 2843, 3334, 3111, 3840, 1006, 19875, 9468, 1007, 11113, 8449, 2818, 10483, 5054, 2057, 18246, 12849, 10695, 2618, 1010, 8289, 21541, 16417, 15536, 10143, 17071, 19734, 7770, 8602, 4078, 4895, 16451, 11106, 3549, 2015, 1012, 3280, 4682, 7512, 28943, 2378, 8237, 5575, 9033, 11106, 2102, 27665, 2078, 8529, 15143, 2290, 3854, 13274, 1012, 2199, 13250, 2213, 2310, 2869, 5428, 14728, 23808, 2121, 17985, 21572, 28351, 2618, 5110, 8865, 2497, 4315, 9413, 16173, 2260, 13813, 2618, 29536, 2099, 1012, 2572, 5709, 1012, 5718, 1012, 2760, 2310, 10867, 14273, 12870, 8695, 4895, 16451, 11106, 3549, 1010, 8695, 2015, 9686, 27665, 4682, 7512, 28943, 2378, 8237, 5575, 10210, 7649, 10355, 1010, 13207, 1004, 17985, 3222, 11113, 8449, 2818, 10483, 5054, 6045, 1012, 8695, 4682, 7512, 6767, 12942, 2368, 6655, 29181, 2102, 1017, 1012, 18034, 11382, 24915, 2213, 6519, 27665, 2078, 27838, 4183, 2527, 2819, 3854, 1020, 13813, 6528, 999, 8529, 15143, 17603, 17322, 2015, 4895, 16451, 11106, 3549, 6342, 17299, 3686, 1024, 8695, 4895, 16451, 11106, 3549, 21541, 10047, 16216, 13102, 22648, 2232, 10210, 2033, 17875, 2368, 1998, 7869, 2078, 4013, 6371, 10431, 6519, 2760, 6151, 10476, 6151, 15536, 4103, 1010, 19181, 2078, 16950, 27102, 8004, 1010, 2022, 9126, 3372, 16216, 10609, 1010, 14071, 2078, 8289, 2063, 11113, 3683, 20058, 2078, 16216, 11624, 10483, 5054, 2057, 18246, 1012, 27885, 12155, 7317, 9686, 26679, 2638, 11721, 17884, 9013, 21025, 19279, 1010, 8695, 2015, 16950, 16846, 2480, 27412, 4682, 27709, 2497, 3683, 20058, 2078, 4895, 3334, 4371, 7033, 7159, 2057, 18246, 1010, 2061, 5292, 10609, 3280, 21360, 18940, 4181, 16216, 13102, 22648, 5369, 10210, 2190, 5714, 20492, 2368, 4013, 6371, 10431, 27665, 7570, 5369, 2057, 21217, 7507, 5753, 5575, 4315, 6904, 4048, 2290, 29501, 6528, 6151, 4954, 2102, 4783, 13777, 5910, 7011, 4048, 2290, 29501, 2102, 4078, 4895, 16451, 11106, 3549, 2015, 2190, 10450, 13512, 1010, 3280, 10047, 16417, 26086, 3070, 10210, 20098, 2140, 24665, 2080, 17499, 7389, 4895, 16451, 11106, 3549, 1999, 8289, 2121, 3589, 2063, 26261, 10222, 1012, 9413, 19845, 3334, 5575, 4315, 2019, 20679, 1999, 11374, 2669, 3280, 8670, 6692, 15185, 20175, 2368, 2019, 4315, 9413, 19845, 3334, 5575, 4315, 2019, 20679, 4078, 4895, 16451, 11106, 3549, 2015, 1999, 15028, 5893, 16427, 2346, 1010, 11374, 2669, 1010, 4561, 1006, 3280, 1000, 11374, 2669, 1011, 2019, 20679, 1000, 1007, 24532, 2368, 11417, 3334, 2063, 15421, 2818, 14778, 2618, 1012, 20377, 10210, 2618, 2281, 2760, 1006, 29536, 15185, 11106, 2389, 19646, 7033, 4078, 9413, 8865, 3215, 4315, 6655, 2890, 18032, 4181, 9056, 2368, 10431, 3854, 2740, 2710, 1007, 9413, 18367, 3388, 16266, 9336, 2078, 1010, 1999, 4315, 2474, 3351, 16950, 7367, 2378, 1010, 22894, 7389, 2094, 4403, 1015, 4315, 9413, 19845, 3334, 5575, 1045, 17875, 11374, 2669, 1011, 2019, 20679, 3963, 2575, 2243, 2290, 2131, 16901, 7159, 2229, 17985, 4013, 24185, 5403, 16950, 4013, 8566, 21548, 2368, 1012, 20377, 2258, 10476, 9413, 18367, 3388, 16266, 9336, 2078, 1010, 1999, 4315, 2474, 3351, 16950, 7367, 2378, 1010, 4013, 24185, 5403, 1016, 1012, 6185, 2509, 4705, 2131, 16901, 7159, 2229, 17985, 16950, 16216, 21559, 2102, 15710, 6528, 4315, 2310, 22379, 16093, 6528, 16283, 3854, 4895, 3351, 7011, 8093, 1015, 1010, 2382, 7922, 4013, 13250, 2213, 16950, 4013, 8566, 21548, 2368, 1012, 8289, 2063, 23564, 7317, 2368, 8254, 2094, 4895, 3334, 4315, 4698, 14227, 2063, 1010, 8695, 2015, 2035, 2063, 16216, 27773, 3207, 6914, 11106, 4328, 12734, 6914, 1010, 16216, 21230, 5794, 3207, 10210, 21395, 2078, 4682, 7512, 4371, 4221, 2078, 15536, 2063, 1062, 1012, 1038, 1012, 1044, 24887, 1011, 16216, 11657, 28667, 11039, 4371, 25090, 2290, 17924, 11374, 2669, 1011, 2019, 20679, 21500, 2666, 7512, 2102, 2057, 18246, 1012, 6655, 7373, 5910, 1011, 10651, 28668, 16266, 9336, 2078, 6045, 7939, 8529, 27773, 4315, 1018, 1012, 5174, 2213, 2475, 1006, 4895, 3351, 7011, 8093, 4749, 1012, 2199, 17718, 8609, 11263, 19310, 1007, 24665, 2080, 17499, 2078, 2019, 20679, 6519, 7939, 8247, 12083, 5575, 6491, 27100, 17960, 6442, 6151, 2310, 5339, 7373, 2497, 1999, 1041, 17198, 7693, 1010, 28668, 1010, 11113, 8449, 2818, 10483, 5054, 1012, 3280, 2022, 19570, 11039, 8004, 23239, 4315, 2019, 20679, 4241, 11140, 3280, 12124, 13719, 12098, 2480, 2638, 27605, 4674, 20679, 3372, 3126, 8814, 18246, 2821, 2638, 3696, 10128, 7556, 10111, 13435, 5794, 27584, 6914, 11113, 8449, 2818, 10483, 5054, 1012, 8695, 4895, 16451, 11106, 3549, 15536, 4103, 16417, 11417, 3334, 2229, 10651, 16216, 10609, 1010, 19181, 2078, 3280, 2203, 24848, 3775, 3351, 4962, 26837, 12734, 2290, 4315, 21200, 19570, 11039, 19022, 11106, 8551, 2368, 9413, 2618, 4014, 2102, 8814, 25547, 1012, 8289, 2063, 27838, 28228, 8873, 21548, 5575, 1010, 19181, 2078, 9413, 8865, 6528, 1010, 15536, 4103, 16266, 9336, 2078, 7939, 12324, 1045, 17875, 1041, 29206, 2368, 4241, 11140, 7861, 2050, 1011, 13938, 2361, 27838, 28228, 8873, 21548, 6528, 4013, 28351, 2618, 6151, 4315, 27838, 28228, 8873, 21548, 6528, 4013, 28351, 2618, 1998, 7869, 2099, 16950, 2213, 2310, 5339, 7373, 2497, 1999, 28668, 6151, 10047, 2717, 27412, 2078, 12124, 1010, 24185, 3423, 1010, 9413, 17298, 10609, 6151, 27665, 16216, 10105, 2078, 7849, 3351, 2022, 4213, 28362, 2078, 1010, 3280, 1999, 7939, 19734, 16173, 5357, 21388, 2753, 1003, 4078, 24665, 2080, 19310, 11774, 9050, 28139, 13087, 4682, 13512, 1012, 9933, 6151, 2310, 6190, 2953, 2497, 1006, 1054, 1007, 1011, 10651, 15536, 2063, 9413, 18367, 3388, 6045, 16266, 9336, 2078, 3280, 2190, 10450, 12734, 2290, 3854, 9933, 6960, 1006, 3280, 2125, 10993, 9257, 2571, 15536, 21217, 29043, 17658, 2121, 5575, 4757, 23567, 2063, 4078, 2455, 2229, 1007, 1999, 2433, 27665, 2099, 14689, 7033, 3215, 2121, 26086, 15532, 2290, 9413, 8865, 6528, 1010, 8529, 10210, 4315, 9056, 2368, 21548, 5575, 4315, 10768, 28228, 2290, 8059, 16275, 14127, 6968, 9285, 9153, 25970, 6519, 19960, 10993, 5498, 22842, 2015, 17985, 3481, 9759, 7011, 28362, 2078, 1012, 9933, 21541, 16417, 9897, 2121, 2190, 5685, 2618, 4014, 3854, 16266, 9336, 3619, 11374, 19699, 2923, 17071, 4372, 2102, 7184, 26896, 5620, 20528, 2618, 11239, 16417, 11624, 8751, 19310, 18337, 4315, 5106, 23567, 5575, 3854, 10768, 28228, 21600, 14127, 6968, 6528, 1010, 3280, 3280, 7353, 3771, 2618, 2310, 6190, 2953, 2497, 1006, 1054, 1007, 1011, 12297, 13578, 7033, 5575, 13473, 2818, 3630, 27095, 2310, 2099, 12449, 4181, 1012, 3280, 19169, 23115, 2368, 26036, 2102, 3854, 2310, 6190, 2953, 2497, 1006, 1054, 1007, 8814, 25547, 10047, 5017, 15536, 14728, 2099, 1999, 9535, 12849, 14191, 11514, 3771, 6528, 8221, 8525, 10265, 2078, 6151, 11693, 13210, 10143, 12870, 2078, 2310, 3217, 18032, 19646, 7033, 6528, 6887, 27292, 20411, 4939, 20624, 23796, 16326, 4757, 8525, 10265, 2078, 6151, 16054, 9013, 4315, 16012, 6299, 11263, 18259, 17007, 20175, 7942, 18886, 8743, 1012, 16266, 9336, 2078, 6045, 6892, 2480, 2102, 2190, 5685, 8004, 16215, 2278, 1011, 4078, 28345, 3686, 1999, 1045, 28362, 2078, 2019, 20679, 2078, 1999, 11374, 2669, 1010, 4561, 1010, 2014, 8449, 23567, 2102, 1010, 16417, 8670, 19966, 12377, 6519, 16950, 5283, 2078, 6199, 25538, 4013, 28351, 2618, 6519, 7939, 3562, 26212, 8024, 2102, 2061, 9148, 2063, 29536, 20683, 20236, 2618, 6887, 27292, 10936, 13765, 7315, 5403, 4013, 28351, 2618, 1012, 16266, 9336, 2078, 2310, 2099, 12449, 3207, 2618, 3280, 14145, 11624, 7033, 2102, 1011, 4078, 28345, 3370, 17924, 12297, 15185, 20175, 5575, 4078, 4475, 1012, 1000, 15536, 2099, 2613, 17417, 7869, 2078, 6151, 4372, 2102, 7184, 2884, 2078, 2035, 2063, 2004, 5051, 25509, 2063, 4078, 4895, 16451, 11106, 3549, 2015, 17070, 2050, 19310, 4895, 8043, 2229, 3488, 1010, 8529, 27665, 29536, 2099, 18367, 19022, 7974, 13910, 5575, 6519, 4895, 8043, 2063, 17712, 3508, 12069, 16950, 9413, 14272, 7770, 10210, 1042, 21940, 2015, 21200, 7939, 9413, 8865, 2102, 3854, 25532, 2078, 4241, 11140, 3280, 4372, 2102, 7184, 26896, 2290, 3854, 16216, 26527, 20240, 25311, 20175, 2368, 6151, 16950, 16846, 2480, 27412, 2099, 6904, 4048, 2290, 29501, 6528, 25520, 16417, 4895, 16451, 11106, 3549, 6519, 27665, 2078, 7987, 10875, 2618, 4014, 4315, 12849, 16173, 1010, 3280, 2158, 1999, 8289, 6633, 7367, 25509, 2953, 9033, 11106, 2102, 1012, 19723, 3771, 5575, 23823, 10343, 7033, 3215, 4783, 16368, 4181, 4895, 7747, 8525, 23102, 2078, 11417, 3334, 10606, 4895, 8043, 4895, 16451, 11106, 3549, 1010, 27427, 6633, 9033, 2063, 4895, 2015, 25520, 27665, 2015, 3854, 27665, 2099, 2192, 6767, 3363, 4895, 16451, 11106, 3549, 10210, 9056, 2368, 10431, 6519, 19960, 10993, 5498, 22842, 2015, 17985, 6151, 4013, 28351, 19646, 2666, 7512, 5575, 2310, 5339, 2527, 24997, 1012, 15536, 2099, 8254, 2094, 21200, 3280, 20377, 23755, 2080, 9413, 14272, 29005, 15421, 2818, 14778, 6528, 2358, 4747, 2480, 6151, 2057, 18246, 7939, 4895, 16451, 11106, 3549, 26760, 8743, 4241, 11140, 2358, 11657, 17701, 5403, 6903, 3771, 5575, 4895, 8043, 2229, 16216, 26527, 2015, 6583, 2818, 20248, 17643, 8873, 2063, 1010, 2358, 11657, 17701, 5403, 15697, 22753, 2368, 1010, 24209, 11475 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 2552, 2078, 2509, 1008, 2003, 1037, 4962, 2008, 4372, 23237, 2005, 6541, 1011, 2552, 5498, 2078, 1011, 1017, 1010, 1037, 5250, 5228, 2069, 1999, 2828, 1011, 2462, 6740, 16662, 1006, 2167, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 25746, 1033, 1007, 1012, 1037, 2691, 26572, 19539, 1999, 2023, 4962, 2003, 1054, 28311, 2581, 2595, 1006, 12667, 15136, 16068, 2581, 23499, 1007, 1010, 2073, 1037, 1039, 1011, 2000, 1011, 1056, 2918, 20885, 3463, 1999, 1996, 8651, 1997, 2019, 12098, 11528, 3170, 2918, 1006, 1054, 1007, 2000, 1037, 21371, 2644, 19429, 2239, 1006, 1060, 1007, 1012, 1060, 2035, 12260, 24004, 9096, 3995, 4570, 2024, 13366, 20132, 1999, 1996, 6541, 1011, 2552, 5498, 2078, 1011, 1017, 5250, 1010, 2029, 2003, 3378, 2007, 1037, 2896, 3435, 1011, 19435, 11917, 7017, 1006, 6320, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2575, 2683, 1033, 1007, 1010, 2021, 2515, 2025, 2765, 1999, 4295, 1006, 17719, 1998, 2167, 1010, 1031, 1030, 1038, 22932, 1033, 1007, 1012, 1996, 22038, 8991, 26305, 6075, 12980, 2408, 5636, 2967, 1010, 2007, 3155, 2423, 1003, 1997, 4004, 2015, 1010, 2324, 1003, 1997, 23368, 2015, 1010, 2340, 1003, 1997, 15101, 2015, 1010, 1017, 1003, 1997, 17851, 1998, 2149, 3060, 4841, 1010, 1998, 1015, 1003, 1997, 20428, 2015, 1998, 11884, 2015, 18840, 1996, 22038, 8991, 26305, 1006, 8675, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23352, 1033, 1025, 17719, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21472, 1033, 1025, 3660, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 16086, 1033, 1007, 1012, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 2003, 3378, 2007, 3177, 1998, 2373, 6887, 16515, 13874, 2015, 1012, 8675, 3802, 2632, 1012, 1006, 1031, 1030, 1038, 2581, 2549, 1033, 1007, 2988, 2008, 7069, 9043, 7576, 2018, 6022, 3020, 13139, 1997, 1996, 1054, 2035, 12260, 2084, 7711, 1010, 1037, 4531, 2008, 2038, 2042, 28024, 2094, 3674, 2335, 1999, 3177, 1010, 2373, 1998, 3997, 7576, 1006, 2852, 17040, 5369, 15088, 20718, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 12211, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 27814, 1033, 1025, 1041, 6038, 2239, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22407, 1033, 1025, 6289, 11368, 4492, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2475, 1033, 1025, 25022, 2229, 29419, 15922, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2549, 1033, 1025, 11382, 5283, 5428, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1025, 13008, 22172, 4183, 9488, 2226, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22275, 1033, 1025, 2057, 10532, 20528, 19310, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2581, 2487, 1033, 1025, 8675, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2581, 2575, 1033, 1007, 1010, 2348, 2122, 9556, 2024, 2025, 16655, 15549, 6767, 9289, 1006, 3660, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 16086, 1033, 1025, 18353, 17726, 9013, 2063, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21486, 1033, 1025, 7367, 11488, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2575, 2487, 1033, 1007, 1012, 5819, 8675, 3802, 2632, 1012, 1006, 1031, 1030, 1038, 2581, 2549, 1033, 1007, 2179, 1037, 9874, 2646, 2019, 3445, 22038, 8991, 26305, 6075, 1999, 14280, 7576, 5443, 1012, 7711, 1010, 2023, 3276, 2003, 2625, 15873, 1010, 2007, 2087, 2913, 7316, 1037, 3768, 1997, 2523, 2090, 22038, 8991, 26305, 1998, 14280, 2836, 1006, 12337, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 20958, 1033, 1025, 15247, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 28154, 1033, 1025, 2079, 4892, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17788, 1033, 1025, 11382, 5283, 5428, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1012, 1999, 2804, 1010, 5819, 20428, 1998, 15101, 14280, 7190, 2024, 3811, 3144, 1006, 19863, 5677, 1998, 14496, 11733, 10521, 1010, 1031, 1030, 1038, 2581, 2475, 1033, 1007, 1010, 1996, 6075, 1997, 1996, 22038, 8991, 26305, 2306, 2023, 2177, 2003, 2200, 2659, 2012, 1022, 1003, 1006, 15101, 1007, 1998, 1015, 1003, 1006, 20428, 1007, 1006, 8675, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23352, 1033, 1007, 1012, 2004, 2107, 1010, 1996, 2236, 10465, 2003, 2008, 1008, 2552, 2078, 2509, 1008, 1060, 2035, 12260, 3497, 2515, 2025, 19933, 7069, 14280, 8258, 3570, 1006, 3158, 27085, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 28756, 1033, 1007, 1012, 2172, 1997, 1996, 3086, 2006, 1008, 2552, 2078, 2509, 1008, 2038, 4208, 2006, 1996, 15873, 3276, 2007, 1996, 1054, 2035, 12260, 1998, 3997, 1013, 2373, 6887, 16515, 13874, 1010, 2007, 1037, 2193, 1997, 4391, 2582, 11131, 2023, 3276, 1006, 1041, 6038, 2239, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24594, 1033, 1025, 5003, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23777, 1033, 1025, 6289, 11368, 4492, 1998, 7349, 11439, 15088, 20718, 1010, 1031, 1030, 1038, 2509, 1033, 1007, 1012, 5262, 1010, 1037, 2193, 1997, 4981, 14964, 1008, 2552, 2078, 2509, 1008, 2004, 1037, 1000, 4962, 2005, 3177, 1000, 1006, 17719, 1998, 2167, 1010, 1031, 1030, 1038, 22932, 1033, 1025, 9212, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2509, 1033, 1025, 29482, 1998, 2167, 1010, 1031, 1030, 1038, 2620, 1033, 1007, 1012, 2174, 1010, 8361, 3350, 6083, 2008, 2023, 26572, 19539, 2089, 4254, 1037, 2193, 1997, 2060, 12955, 1010, 2164, 6912, 7233, 1010, 4544, 3891, 1010, 1998, 2731, 6789, 1006, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1025, 14255, 3672, 2050, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24087, 1033, 1025, 3742, 3593, 2850, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 12376, 1033, 1007, 1012, 1996, 3800, 1997, 2023, 7163, 1011, 3319, 2003, 2000, 2582, 8849, 2122, 4022, 6550, 1010, 2004, 2019, 3445, 4824, 1997, 1996, 2535, 2209, 2011, 1008, 2552, 2078, 2509, 1008, 2006, 2122, 12955, 2089, 2599, 2000, 8377, 1999, 1996, 27891, 1997, 7403, 2592, 1999, 6912, 2731, 1012, 1008, 2552, 2078, 2509, 1008, 2004, 1037, 16913, 20350, 1997, 2731, 3433, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2058, 1996, 2197, 2322, 2030, 2061, 2086, 1010, 1996, 8335, 10318, 4254, 1997, 14471, 2006, 6912, 6789, 2038, 2042, 2092, 10641, 1006, 8945, 10875, 4232, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2487, 1033, 1025, 8945, 10875, 4232, 1010, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 5819, 2009, 2003, 3154, 2008, 14471, 2038, 2019, 25672, 12083, 3064, 3747, 2006, 2119, 6912, 2836, 1006, 9535, 2232, 1998, 12211, 1010, 1031, 1030, 1038, 22022, 1033, 1007, 1998, 6789, 1006, 10856, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 26224, 1033, 1007, 1010, 8491, 2913, 11628, 1996, 3747, 1997, 3265, 2309, 16371, 14321, 26601, 26572, 19539, 2015, 1006, 1055, 16275, 2015, 1007, 1006, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1007, 1010, 2030, 1037, 5257, 1997, 1055, 16275, 2015, 1006, 3557, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21619, 1033, 1007, 1010, 2006, 2023, 2832, 1012, 1999, 2023, 2930, 1010, 2057, 8849, 1996, 3350, 4953, 1996, 4254, 1997, 1008, 2552, 2078, 2509, 1008, 2006, 1996, 2695, 1011, 6912, 19293, 3433, 1012, 2206, 1037, 14336, 3906, 3945, 1010, 2057, 2179, 2274, 2913, 2008, 8920, 1996, 3747, 1997, 1008, 2552, 2078, 2509, 1008, 2006, 6912, 6789, 2000, 1037, 16367, 2731, 4746, 1006, 2795, 1031, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1007, 1012, 2176, 1997, 2122, 3273, 5012, 2731, 1006, 18648, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2629, 1033, 1025, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1025, 23857, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 27009, 1033, 1025, 27139, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22907, 1033, 1007, 1010, 1998, 2028, 4208, 2006, 18440, 13592, 2731, 1006, 11183, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21084, 1033, 1007, 1012, 2019, 3176, 2817, 1006, 23848, 2072, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 18139, 1033, 1007, 1010, 17785, 3431, 1999, 29536, 1066, 1016, 5051, 4817, 1066, 2058, 1037, 2274, 1011, 2095, 2558, 1999, 7069, 21294, 2015, 1010, 2007, 2053, 3278, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 5966, 1012, 2174, 1010, 1996, 6912, 8830, 1999, 2023, 2817, 2001, 2025, 4758, 1010, 1998, 2061, 2057, 2106, 2025, 2421, 2009, 2306, 2795, 1031, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 2045, 2001, 6196, 8386, 1999, 1996, 9556, 1012, 2005, 5012, 2731, 1010, 2048, 2913, 2988, 2008, 1996, 25269, 8991, 26305, 2001, 3378, 2007, 1996, 4602, 3623, 1999, 3997, 1006, 23857, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 27009, 1033, 1007, 1998, 2373, 1006, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1007, 2206, 5012, 2731, 1012, 2028, 2817, 2988, 2053, 3466, 1997, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 2006, 2731, 17241, 2206, 5012, 2731, 1006, 27139, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22907, 1033, 1007, 1012, 2178, 2988, 3618, 7620, 1999, 2028, 1011, 23318, 4555, 1006, 1015, 10867, 1007, 1999, 1060, 2035, 12260, 11363, 4102, 2000, 25269, 8991, 26305, 2015, 1006, 18648, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2629, 1033, 1007, 1012, 1037, 2582, 2817, 12550, 1008, 2552, 2078, 2509, 1008, 2306, 1037, 2321, 1011, 1055, 16275, 2561, 8991, 26305, 3556, 1006, 1056, 5620, 1007, 1010, 4531, 2008, 3633, 2007, 1037, 3020, 2193, 1997, 2373, 2035, 26741, 1006, 2107, 2004, 1008, 2552, 2078, 2509, 1008, 1054, 1007, 8176, 3618, 8377, 2206, 2152, 1011, 8015, 5012, 2731, 4102, 2000, 2659, 1011, 8015, 5012, 2731, 1006, 3557, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21619, 1033, 1007, 1012, 2174, 1010, 2138, 5739, 2071, 2031, 1996, 1008, 2552, 2078, 2509, 1008, 22038, 8991, 26305, 1998, 2145, 2022, 27811, 2004, 2216, 2040, 2052, 2190, 6869, 2000, 2152, 1011, 8015, 2731, 1006, 2349, 2000, 1996, 6664, 1997, 1037, 3020, 2193, 1997, 2035, 26741, 1999, 2060, 2373, 1011, 3378, 1055, 16275, 2015, 1007, 1010, 2057, 2106, 2025, 2421, 2023, 2817, 2306, 2795, 1031, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 2913, 12843, 1996, 8290, 2090, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 1998, 6912, 6789, 1012, 1008, 1008, 2817, 1008, 1008, 1008, 1008, 4118, 1008, 1008, 1008, 1008, 7099, 6459, 1008, 1008, 1008, 1008, 2364, 9560, 1008, 1008, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1043, 1012, 1015, 2292, 1055, 2022, 1006, 1016, 1013, 1020, 1009, 1017, 1007, 1008, 2382, 1013, 2322, 1012, 6814, 1019, 1008, 1043, 1011, 6275, 1027, 1011, 1018, 1008, 1039, 1010, 1055, 1008, 1043, 1027, 1019, 1008, 1039, 1011, 1022, 1008, 1039, 1009, 6282, 1012, 9611, 1018, 1008, 1056, 1011, 1043, 1027, 1016, 1008, 1045, 1010, 1011, 1016, 1008, 1045, 1011, 2423, 1027, 1011, 1019, 1008, 1056, 1011, 1018, 2005, 1056, 1012, 1017, 2292, 1048, 1006, 1040, 1007, 1027, 1016, 1008, 1040, 1012, 2292, 1061, 2022, 1048, 1006, 1016, 1007, 1012, 6814, 2322, 1008, 1039, 1011, 6564, 1027, 19955, 1012, 2292, 1045, 1006, 1053, 1007, 1027, 1053, 1008, 1008, 1016, 1011, 2184, 1008, 1053, 1009, 2184, 1012, 2292, 1049, 2022, 1045, 1006, 1023, 1007, 1012, 9611, 1017, 1008, 1059, 1009, 1061, 1008, 1058, 1009, 1018, 1027, 1011, 1049, 1010, 1011, 1019, 1008, 1059, 1011, 1058, 1027, 1039, 2005, 1059, 1012, 1011, 1017, 6814, 1011, 2382, 1027, 1011, 2539, 1008, 1052, 1009, 1022, 1012, 6814, 1011, 1060, 1009, 1016, 1008, 1039, 1009, 1023, 1027, 1014, 1010, 1019, 1008, 1060, 1011, 1019, 1008, 1039, 1027, 1011, 1052, 1008, 1039, 1009, 2861, 1012, 9611, 1014, 1027, 1011, 1060, 1008, 1056, 1011, 1016, 1008, 1037, 1009, 2321, 1010, 1017, 1008, 1056, 1009, 1019, 1027, 1011, 1037, 1009, 2321, 2005, 1056, 1012, 1019, 2292, 1057, 1006, 1056, 1007, 1027, 1011, 1056, 1008, 1008, 1017, 1011, 1020, 1008, 1056, 1008, 1008, 1016, 1009, 1019, 1008, 1056, 1011, 1016, 1012, 2292, 1046, 2022, 1057, 1006, 1011, 1021, 1007, 1012, 2292, 1048, 2022, 1006, 1011, 2321, 1007, 1013, 1006, 1011, 1017, 1007, 1009, 1011, 1015, 1009, 2260, 1009, 1011, 2403, 1009, 1017, 1012, 9611, 1011, 2324, 1027, 1011, 1017, 1008, 1054, 1011, 1048, 1008, 1045, 1009, 1022, 1010, 1017, 1008, 1045, 1027, 1046, 2005, 1054, 1012, 1016, 2292, 1062, 2022, 1017, 1013, 1006, 1011, 2324, 1007, 1009, 6109, 2683, 1013, 2324, 1012, 6814, 1011, 1037, 1009, 1052, 1009, 2756, 1027, 1014, 1010, 1016, 1008, 1037, 1011, 1017, 1008, 1052, 1027, 1062, 1009, 2184, 1012, 2292, 1058, 1027, 4229, 21472, 1009, 1011, 4229, 12740, 1012, 9611, 1011, 1048, 1011, 1058, 1009, 1016, 1027, 1014, 1010, 1037, 1027, 1011, 1017, 1008, 1051, 1011, 1018, 1008, 1048, 2005, 1051, 1012, 1011, 1017, 2292, 1040, 1027, 1011, 4090, 1011, 1011, 2539, 1012, 2292, 1053, 1027, 4008, 2509, 1011, 3429, 2575, 1012, 2292, 1051, 1027, 1053, 1011, 1040, 1012, 9611, 1018, 1027, 1017, 1008, 1057, 1011, 1018, 1008, 1057, 1010, 1011, 1051, 1008, 1057, 1027, 1019, 1008, 1043, 1009, 2603, 2005, 1043, 1012, 1011, 1017, 6814, 1011, 1038, 1027, 1011, 1017, 1008, 1049, 1011, 2656, 1009, 2654, 1010, 1011, 1018, 1008, 1038, 1011, 1017, 1008, 1049, 1027, 1011, 4261, 1012, 6814, 1015, 1027, 1016, 1008, 1047, 1009, 1047, 1011, 1048, 1010, 1011, 1048, 1027, 1047, 1011, 1038, 1012, 9611, 1017, 1027, 1011, 1018, 1008, 1050, 1011, 1018, 1008, 1060, 1011, 3943, 1010, 1011, 1017, 1008, 1050, 1009, 1016, 1008, 1060, 1027, 1047, 2005, 1050, 1012, 1011, 1018, 2292, 1046, 1027, 1011, 20982, 2629, 1011, 1011, 20982, 2620, 1012, 9611, 1014, 1027, 1017, 1008, 1054, 1009, 1019, 1008, 1050, 1011, 1014, 1009, 1017, 1010, 1014, 1027, 1018, 1008, 1054, 1011, 1046, 1008, 1050, 1009, 1018, 2005, 1054, 1012, 1011, 1015, 2292, 1060, 2022, 1016, 1013, 1006, 1011, 2260, 1007, 1011, 1006, 1006, 1011, 21679, 1007, 1013, 1006, 1011, 2382, 1007, 1011, 1023, 1007, 1012, 2292, 1062, 2022, 1060, 1013, 1006, 1011, 1018, 1007, 1009, 1006, 1011, 1016, 1011, 3438, 1013, 1006, 1011, 2385, 1007, 1007, 1012, 9611, 1011, 1021, 1027, 1017, 1008, 1051, 1011, 1014, 1008, 1043, 1009, 1062, 1008, 1043, 1010, 1011, 1017, 1008, 1051, 1027, 1018, 1008, 1043, 1009, 1019, 2005, 1051, 1012, 1011, 1017, 6814, 1011, 1019, 1008, 1046, 1027, 1011, 1017, 1008, 1055, 1011, 4724, 1010, 1011, 1017, 1008, 1055, 1027, 1017, 1008, 1046, 1009, 4293, 1011, 5824, 1012, 9611, 1011, 1018, 1008, 1049, 1027, 1046, 1008, 1053, 1009, 1018, 1010, 1011, 1016, 1008, 1049, 1011, 1018, 1027, 1011, 1016, 1008, 1053, 1011, 1016, 2005, 1049, 1012, 1011, 1015, 6814, 1011, 1019, 1008, 1049, 1027, 1016, 1008, 1057, 1009, 2676, 1010, 2382, 1027, 1018, 1008, 1057, 1011, 1018, 1008, 1049, 1009, 1016, 1008, 1049, 1012, 9611, 1016, 1008, 1037, 1011, 1019, 1008, 1054, 1027, 1011, 1017, 1008, 1054, 1011, 1057, 1010, 1014, 1027, 1011, 1019, 1008, 1037, 1011, 1019, 1008, 1054, 1011, 2871, 2005, 1037, 1012, 1011, 1019, 2292, 1037, 2022, 1006, 1015, 1009, 1020, 1007, 1008, 9475, 1013, 22898, 1012, 6814, 1037, 1027, 1020, 1008, 1057, 1011, 2322, 1012, 9611, 1011, 1017, 1008, 1054, 1011, 1019, 1008, 1061, 1027, 2410, 1010, 1011, 1057, 1008, 1061, 1011, 1022, 1027, 1011, 1018, 1008, 1054, 1009, 1016, 1008, 1054, 2005, 1054, 1012, 1011, 1015, 2292, 1050, 1027, 1011, 3515, 1011, 1011, 6640, 1012, 2292, 1044, 1006, 1037, 1007, 1027, 1011, 2539, 1011, 1050, 1008, 1037, 1009, 1016, 1008, 1037, 1008, 1008, 1016, 1009, 2260, 1008, 1037, 1009, 2656, 1008, 1037, 1012, 2292, 1061, 2022, 1044, 1006, 1011, 2340, 1007, 1012, 9611, 1052, 1027, 1011, 1061, 1008, 1052, 1011, 1018, 1008, 1047, 1011, 1018, 1010, 1052, 1027, 1017, 1008, 1047, 1011, 2410, 2005, 1052, 1012, 1011, 1018, 2292, 1061, 2022, 3943, 1013, 6255, 1009, 16459, 1013, 2403, 1012, 6814, 2260, 1008, 1057, 1011, 2324, 1008, 1057, 1027, 4466, 1012, 2292, 1037, 1027, 1057, 1009, 1061, 1012, 9611, 1050, 1009, 1017, 1027, 1019, 1008, 1051, 1010, 1011, 1017, 1008, 1051, 1011, 1037, 1008, 1050, 1009, 1017, 1027, 1011, 1020, 1008, 1051, 2005, 1051, 1012, 1015, 6814, 2539, 1008, 1039, 1011, 4229, 1009, 2656, 1027, 3429, 1012, 9611, 1020, 1027, 1011, 1057, 1011, 1018, 1008, 1054, 1011, 1054, 1010, 1017, 1008, 1054, 1027, 1011, 1039, 2005, 1057, 1012, 1011, 1015, 2292, 1048, 1027, 13756, 2581, 2487, 1009, 1011, 13756, 28311, 1012, 9611, 1016, 1008, 1042, 1009, 1017, 1008, 1039, 1027, 1048, 1010, 1017, 1008, 1042, 1027, 1019, 1008, 1039, 1011, 1022, 1011, 1023, 2005, 1042, 1012, 1015, 2292, 1038, 1006, 1047, 1007, 1027, 1011, 1047, 1008, 1008, 1017, 1009, 2340, 1008, 1047, 1008, 1008, 1016, 1011, 2484, 1008, 1047, 1009, 16333, 1012, 2292, 1048, 2022, 1038, 1006, 2184, 1007, 1012, 9611, 1018, 1008, 1044, 1011, 1017, 1008, 1039, 1011, 3486, 1027, 1014, 1010, 1014, 1027, 1011, 1021, 1008, 1044, 1009, 1048, 1008, 1044, 1011, 1019, 1008, 1039, 1011, 2322, 2005, 1044, 1012, 1019, 2292, 1052, 2022, 1006, 1006, 1011, 6356, 1007, 1013, 27200, 1007, 1013, 1006, 1006, 1015, 1013, 1022, 1007, 1013, 1006, 1011, 1015, 1007, 1007, 1012, 2292, 1049, 1006, 1062, 1007, 1027, 1011, 4868, 1008, 1062, 1009, 10114, 1012, 2292, 1047, 2022, 1049, 1006, 1052, 1007, 1012, 9611, 1011, 1019, 1008, 1054, 1011, 1017, 1008, 1061, 1011, 1015, 1027, 1014, 1010, 1011, 1047, 1008, 1061, 1027, 1011, 1017, 1008, 1054, 1011, 1017, 1009, 2403, 2005, 1054, 1012, 1015, 6814, 1011, 1016, 1008, 1055, 1011, 1022, 1027, 1011, 2385, 1012, 6814, 1011, 1055, 1008, 1054, 1011, 1016, 1008, 1050, 1011, 1017, 1008, 1050, 1009, 3515, 1027, 1014, 1010, 1019, 1008, 1054, 1027, 1011, 1016, 1008, 1050, 1009, 6255, 1012, 6814, 2459, 1008, 1051, 1011, 1054, 1027, 2260, 1008, 1051, 1012, 9611, 1011, 1017, 1008, 1060, 1027, 1011, 1014, 1008, 1060, 1011, 1018, 1008, 1037, 1009, 2403, 1010, 1011, 1060, 1009, 1051, 1008, 1037, 1011, 2410, 1027, 1014, 2005, 1060, 1012, 1016, 2292, 1045, 1006, 1042, 1007, 1027, 1011, 3429, 1008, 1042, 1009, 1018, 1012, 2292, 1052, 1027, 25162, 1009, 1011, 25162, 1012, 2292, 1039, 2022, 1045, 1006, 1052, 1007, 1012, 9611, 1011, 1017, 1008, 1038, 1027, 1016, 1008, 1049, 1011, 2322, 1010, 1022, 1027, 1017, 1008, 1038, 1011, 1039, 2005, 1049, 1012, 1018, 6814, 1014, 1027, 1011, 1016, 1008, 1039, 1011, 1019, 1008, 1057, 1009, 5585, 1010, 1018, 1008, 1039, 1011, 1017, 1008, 1057, 1011, 20666, 1027, 1011, 1039, 1012, 2292, 1037, 1006, 1058, 1007, 1027, 1011, 1018, 1008, 1058, 1009, 1039, 1011, 2382, 1009, 1017, 1008, 1058, 1012, 2292, 1056, 2022, 1037, 1006, 2321, 1007, 1012, 9611, 1046, 1009, 1016, 1008, 1049, 1009, 1016, 1008, 1049, 1027, 2403, 1010, 1011, 1056, 1008, 1049, 1027, 1011, 1018, 1008, 1046, 1011, 2385, 2005, 1046, 1012, 1011, 1016, 2292, 1059, 1006, 1044, 1007, 1027, 1044, 1008, 1008, 1016, 1011, 1022, 1008, 1044, 1011, 1022, 1012, 2292, 1039, 2022, 1059, 1006, 1011, 1017, 1007, 1012, 6814, 1011, 1037, 1011, 1018, 1008, 1037, 1011, 1039, 1027, 1014, 1010, 1019, 1027, 1019, 1008, 1051, 1009, 1017, 1008, 1037, 1012, 9611, 1014, 1027, 1045, 1009, 1051, 1008, 1049, 1009, 2260, 1010, 1011, 4029, 1027, 1016, 1008, 1045, 1011, 1021, 1008, 1045, 1009, 1018, 1008, 1049, 2005, 1045, 1012, 1018, 2292, 1053, 1027, 1011, 5585, 1011, 1011, 13029, 1012, 6814, 1053, 1008, 1060, 1027, 1011, 2538, 1009, 20500, 1012, 9611, 1018, 1008, 1056, 1009, 1062, 1009, 1023, 1027, 1014, 1010, 1062, 1009, 1060, 1027, 1017, 1008, 1062, 2005, 1056, 1012, 1011, 1017, 2292, 1062, 1027, 10114, 2620, 2549, 1009, 1011, 10114, 26187, 1012, 9611, 1011, 1018, 1008, 1043, 1027, 1011, 1019, 1008, 1060, 1009, 1020, 1008, 1060, 1011, 1062, 1010, 1014, 1027, 1011, 1018, 1008, 1043, 1009, 2385, 2005, 1060, 1012, 1017, 2292, 1047, 2022, 1016, 1011, 1015, 1011, 1006, 1011, 6390, 1011, 1014, 1007, 1012, 6814, 1011, 1018, 1008, 1045, 1011, 1016, 1008, 1048, 1027, 1011, 1045, 1011, 2322, 1010, 1011, 1017, 1008, 1048, 1027, 1011, 1017, 1008, 1045, 1012, 9611, 1017, 1008, 1046, 1027, 1011, 1059, 1011, 1021, 1010, 1014, 1027, 1045, 1008, 1046, 1011, 1019, 1008, 1059, 1011, 2861, 1009, 1047, 2005, 1046, 1012, 1011, 1018, 6814, 1019, 1011, 1019, 1027, 6640, 1008, 1057, 1011, 1014, 1012, 9611, 1017, 1008, 1039, 1009, 1057, 1009, 2184, 1027, 1059, 1010, 2403, 1027, 1017, 1008, 1059, 1011, 1039, 2005, 1059, 1012, 1018, 2292, 1037, 1027, 1011, 5786, 2575, 2581, 1011, 1011, 5786, 2575, 2581, 1012, 9611, 1017, 1008, 1059, 1009, 1017, 1008, 1060, 1027, 1037, 1010, 1014, 1027, 1059, 1009, 1016, 1008, 1060, 1011, 1021, 1009, 1017, 2005, 1059, 1012, 1011, 1018, 2292, 1048, 1006, 1057, 1007, 1027, 3943, 1008, 1057, 1011, 17267, 1012, 2292, 1046, 2022, 1048, 1006, 2403, 1007, 1012, 9611, 1011, 1044, 1009, 6365, 1027, 3938, 1010, 1017, 1008, 1058, 1027, 1044, 1009, 1046, 2005, 1058, 1012, 1016, 2292, 1058, 1027, 10550, 2683, 1009, 1011, 8746, 2549, 1012, 9611, 1011, 2324, 1011, 1015, 1027, 1011, 1019, 1008, 1048, 1011, 1017, 1008, 1054, 1010, 1017, 1008, 1048, 1011, 1019, 1008, 1054, 1011, 1058, 1027, 1014, 2005, 1048, 1012, 1019, 6814, 1060, 1009, 1060, 1027, 2260, 1012, 2292, 1037, 1006, 1040, 1007, 1027, 3429, 1008, 1040, 1011, 1018, 1011, 10630, 1008, 1040, 1009, 4601, 1008, 1040, 1009, 4029, 1008, 1040, 1011, 1040, 1008, 1008, 1016, 1012, 2292, 1049, 2022, 1037, 1006, 1060, 1007, 1012, 9611, 1011, 1019, 1008, 1050, 1011, 1049, 1008, 1056, 1027, 1011, 2570, 1010, 1018, 1011, 1020, 1027, 1011, 1016, 1008, 1056, 2005, 1050, 1012, 1018, 6814, 1014, 1027, 1011, 2403, 1008, 1061, 1009, 2321, 1008, 1061, 1011, 6070, 1012, 2292, 1056, 1027, 1061, 1009, 1011, 6535, 1012, 6814, 1023, 1027, 1016, 1008, 1062, 1011, 1056, 1012, 9611, 1016, 1008, 1051, 1009, 1062, 1009, 2340, 1027, 1011, 1018, 1008, 1053, 1010, 1014, 1027, 1018, 1008, 1053, 1009, 1018, 1008, 1051, 1009, 2484, 2005, 1053, 1012, 1011, 1018, 2292, 1058, 1006, 1055, 1007, 1027, 1011, 1055, 1008, 1008, 1016, 1011, 5179, 1008, 1055, 1011, 6275, 2487, 1012, 2292, 1047, 2022, 1058, 1006, 1011, 2756, 1007, 1012, 9611, 1039, 1027, 1011, 1016, 1008, 1051, 1011, 1019, 1010, 1011, 1016, 1008, 1039, 1009, 1020, 1008, 1039, 1027, 1047, 1008, 1051, 2005, 1039, 1012, 1011, 1015, 2292, 1053, 2022, 1011, 1020, 1011, 1006, 1021, 1009, 1011, 1022, 1009, 1011, 3943, 1007, 1012, 6814, 1053, 1009, 5187, 1027, 2676, 1008, 1040, 1012, 9611, 1011, 1017, 1008, 1051, 1009, 2321, 1027, 1014, 1010, 1017, 1008, 1043, 1011, 1040, 1008, 1051, 1009, 1014, 1009, 2676, 1027, 1014, 2005, 1043, 1012, 1011, 1018, 2292, 1044, 2022, 2324, 1011, 1006, 4413, 1009, 1011, 1021, 1009, 1011, 2538, 1007, 1012, 9611, 1014, 1027, 1011, 1057, 1011, 1052, 1009, 2403, 1011, 2410, 1010, 2260, 1027, 1044, 1008, 1057, 1009, 1016, 1008, 1052, 2005, 1057, 1012, 1019, 2292, 1044, 1006, 1049, 1007, 1027, 1011, 1049, 1008, 1008, 1016, 1011, 1019, 1008, 1049, 1011, 1015, 1012, 2292, 1047, 2022, 1044, 1006, 1011, 1018, 1007, 1012, 2292, 1053, 1027, 24837, 1011, 4029, 2549, 1012, 2292, 1037, 1006, 1048, 1007, 1027, 1048, 1008, 1008, 1016, 1011, 4008, 1008, 1048, 1009 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2000, 2022, 2405, 1999, 1996, 2880, 4311, 2436, 1997, 1996, 4905, 2236, 2110, 1997, 2662, 3817, 1041, 1012, 11192, 7389, 4905, 2236, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 5448, 1024, 1024, 2053, 1012, 5345, 1011, 22060, 1997, 1024, 1024, 2285, 2322, 1010, 2786, 3817, 1041, 1012, 11192, 7389, 1024, 4905, 2236, 1024, 1024, 4938, 1055, 1012, 4830, 6819, 3995, 1024, 4112, 4905, 2236, 1024, 1024, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1996, 13556, 9660, 6017, 1010, 2266, 1997, 1996, 2662, 2110, 4001, 1010, 2038, 7303, 2019, 5448, 2006, 1996, 2206, 3980, 1024, 1015, 1012, 2089, 1037, 2221, 9278, 2686, 2000, 1037, 2797, 1010, 2512, 1011, 5618, 3029, 2005, 1996, 3169, 1997, 1037, 3824, 2396, 2688, 1999, 1037, 2311, 5224, 2011, 1996, 2221, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 1010, 2073, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1029, 1016, 1012, 2089, 1037, 6111, 2221, 7065, 11045, 2049, 12276, 1997, 1037, 2311, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 2302, 4942, 21532, 4522, 4128, 1010, 2073, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1029, 15306, 1015, 1012, 1037, 2221, 2089, 9278, 2686, 2000, 1037, 2797, 1010, 2512, 1011, 5618, 3029, 2005, 1996, 3169, 1997, 1037, 3824, 2396, 2688, 1999, 1037, 2311, 5224, 2011, 1996, 2221, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 1010, 2130, 2295, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1010, 3024, 2008, 1996, 2224, 1997, 1996, 2311, 2004, 1037, 2688, 2003, 5043, 2389, 2000, 1010, 8335, 2007, 1010, 1998, 2515, 2025, 6151, 5313, 2100, 15115, 2007, 1996, 9608, 2224, 1997, 1996, 2311, 2011, 1996, 8244, 1005, 2523, 1012, 1015, 1012, 5345, 1011, 22060, 1016, 1012, 1037, 6111, 2221, 2089, 2025, 7065, 11045, 2049, 12276, 1997, 1037, 2311, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 2302, 4942, 21532, 4522, 4128, 1010, 2073, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1012, 4106, 27081, 2000, 1996, 8910, 1997, 2510, 1998, 8244, 3642, 2930, 14010, 2475, 1010, 1015, 1996, 2604, 1997, 22565, 1997, 1037, 2221, 2089, 1000, 3073, 1010, 5441, 2030, 3073, 1998, 5441, 3121, 1010, 3986, 9873, 1010, 3116, 3182, 1010, 3986, 6328, 1010, 2030, 8640, 6401, 2005, 1996, 2224, 2030, 5770, 1997, 2028, 2030, 2062, 8244, 1005, 8924, 1012, 1000, 1006, 2156, 2813, 1058, 1012, 2110, 1997, 2662, 1006, 3918, 1007, 6421, 10250, 1012, 10439, 1012, 14134, 6640, 2620, 1010, 28122, 1011, 6391, 2487, 1025, 5786, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 3515, 2629, 1006, 3245, 1007, 1012, 1007, 1996, 9347, 1997, 2107, 1037, 4322, 27081, 2000, 2930, 14010, 2475, 1998, 2049, 9920, 2011, 1996, 8244, 1005, 2523, 17367, 1037, 12276, 2005, 2107, 2224, 1998, 5770, 1012, 1006, 1005, 14010, 2575, 1012, 1007, 1996, 2048, 3980, 3591, 2005, 9584, 5478, 2019, 7613, 1997, 2930, 14010, 2575, 1012, 4919, 1010, 2009, 2442, 2022, 4340, 3251, 2686, 2306, 1037, 2311, 4056, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 2089, 2022, 12524, 2005, 1996, 3169, 1997, 1037, 3824, 2396, 2688, 1998, 3251, 1037, 6111, 2221, 2089, 7065, 11045, 1037, 12276, 2005, 2107, 2224, 2302, 4346, 2019, 4522, 4322, 2000, 1996, 8244, 1005, 2523, 1999, 1996, 6438, 1997, 1037, 11371, 1010, 9619, 1010, 2030, 22290, 2011, 1996, 2523, 1012, 2930, 14010, 2575, 3640, 1024, 1000, 7188, 1037, 2221, 2038, 3024, 1010, 5224, 1010, 2030, 3024, 1998, 5224, 2151, 2311, 1010, 3986, 2534, 1010, 3116, 2173, 1010, 3986, 2380, 1010, 2030, 8640, 2415, 2005, 1996, 2224, 2030, 5770, 1997, 2028, 2030, 2062, 8244, 1005, 8924, 1010, 27081, 2000, 2930, 14010, 2475, 1010, 1996, 9347, 1997, 2008, 4322, 1998, 2049, 9920, 2011, 1996, 8244, 1005, 2523, 17367, 1037, 12276, 1997, 2008, 3200, 2000, 1037, 2270, 3800, 1010, 1998, 1996, 2221, 2089, 2025, 7065, 11045, 1996, 12276, 1010, 2061, 2146, 2004, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 1998, 3785, 1997, 1996, 12276, 1010, 4983, 2009, 2139, 16467, 2015, 7681, 4128, 2030, 4983, 1996, 8244, 1005, 3029, 2038, 2593, 9619, 2098, 2000, 1996, 3818, 2221, 2895, 2030, 2038, 4704, 2049, 2224, 1997, 1996, 4128, 1012, 1000, 1015, 1012, 12635, 1997, 4056, 2686, 1999, 6035, 8160, 1005, 4632, 2078, 1012, 1058, 1012, 13470, 1006, 4927, 1007, 17613, 10250, 1012, 4724, 2487, 1010, 1996, 4259, 2457, 2218, 2008, 1996, 12276, 1997, 1037, 2311, 2011, 1037, 2221, 2005, 1996, 7262, 2224, 1997, 1037, 8244, 1005, 2523, 2106, 2025, 23640, 1996, 6543, 13574, 2114, 1996, 2437, 1997, 9604, 1997, 2270, 5029, 1012, 2044, 1037, 12401, 4106, 1996, 2457, 5531, 1024, 1000, 2009, 4076, 2013, 2054, 2038, 2042, 2056, 2008, 1996, 2604, 1997, 22565, 1010, 3772, 1999, 16405, 2869, 26620, 1997, 2930, 24837, 2487, 2546, 1997, 1996, 2576, 3642, 1031, 2085, 2930, 14010, 2475, 1033, 1010, 2003, 26480, 2000, 14908, 2004, 1037, 3986, 2534, 1996, 2311, 2000, 2022, 2124, 1998, 4351, 2004, 3377, 2534, 1012, 7297, 1010, 2009, 2003, 26480, 2000, 5787, 1996, 2224, 1997, 1996, 2534, 2000, 1037, 3116, 2173, 2005, 8924, 1997, 8244, 2040, 2031, 2366, 1996, 2142, 2163, 3932, 8231, 1999, 2049, 5233, 1012, 2057, 1015, 2035, 2930, 7604, 2182, 2378, 2024, 2000, 1996, 2510, 1998, 8244, 3642, 1012, 1016, 1012, 5345, 1011, 22060, 2079, 2025, 1010, 2174, 1010, 4299, 2000, 2022, 5319, 2004, 3173, 2008, 1996, 6372, 2038, 2025, 1996, 2373, 2000, 4372, 8017, 3351, 1996, 9531, 1997, 1996, 2224, 1997, 1996, 2534, 2000, 2421, 2785, 5596, 4411, 2030, 2000, 2330, 2009, 2000, 1996, 2270, 2012, 2312, 2065, 2925, 4654, 29206, 9243, 5769, 2008, 1037, 7289, 2224, 1997, 1996, 2534, 2052, 11598, 2049, 6179, 2791, 1998, 2488, 4942, 8043, 3726, 1996, 2270, 3791, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 1052, 1012, 17422, 1012, 1007, 2416, 2086, 2101, 1999, 8370, 3051, 3409, 2053, 1012, 9645, 1058, 1012, 2604, 1997, 22565, 1006, 4612, 1007, 5818, 10250, 1012, 10439, 1012, 5388, 2629, 1010, 1996, 2457, 1997, 5574, 4541, 1996, 13470, 3247, 2004, 4076, 1024, 1000, 1999, 6852, 1997, 1996, 9964, 2545, 2009, 2003, 5275, 2008, 1996, 2553, 1997, 6035, 8160, 1005, 2523, 1997, 3050, 3349, 1058, 1012, 13470, 1010, 17613, 10250, 1012, 4724, 2487, 1010, 4324, 1998, 4748, 9103, 11818, 2015, 2008, 1996, 2604, 1997, 22565, 1010, 2030, 1996, 2837, 2030, 12731, 16033, 11692, 2872, 1999, 3715, 1997, 2107, 2311, 14882, 2053, 3691, 2000, 9146, 1996, 2224, 21739, 2011, 2151, 2060, 2084, 1037, 8003, 2523, 1012, 2096, 2045, 2003, 2653, 1999, 1996, 5448, 1999, 2008, 2553, 2029, 2003, 2330, 2000, 1996, 2810, 2008, 1996, 3166, 1997, 1996, 5448, 21474, 1996, 2801, 2008, 2107, 3121, 2323, 7919, 2022, 3132, 2000, 1996, 7262, 2224, 1997, 2107, 4411, 1010, 1998, 1996, 2553, 2515, 2907, 2008, 1996, 2604, 1997, 22565, 2089, 14908, 1037, 2311, 2104, 1996, 2552, 2029, 2003, 7422, 7580, 2000, 1996, 2224, 1997, 2107, 4411, 1010, 1996, 2553, 2515, 2025, 2175, 2000, 1996, 6698, 27481, 2098, 2005, 2011, 1996, 9964, 2545, 1012, 2009, 2003, 2000, 2022, 5159, 2036, 2008, 1996, 2553, 3952, 2001, 2241, 2588, 1037, 5813, 1997, 1996, 2604, 1997, 22565, 1997, 1996, 2221, 1997, 3050, 3349, 1010, 2029, 9675, 2008, 1996, 2311, 2000, 2022, 7019, 2323, 2022, 7580, 2109, 2004, 1037, 3116, 2173, 2005, 14314, 1010, 25312, 16451, 2389, 1998, 25786, 8924, 1036, 3005, 5779, 4618, 2022, 3605, 2069, 1997, 8244, 1010, 1005, 4385, 1012, 1000, 2096, 2057, 2024, 1997, 1996, 5448, 2008, 2104, 1996, 2930, 1997, 1996, 2576, 3642, 3166, 6026, 1996, 2810, 1997, 3986, 3121, 1010, 7923, 1997, 22565, 10295, 1996, 3691, 1998, 2373, 2000, 5787, 1996, 2224, 21739, 1998, 1997, 2296, 2282, 2045, 2378, 1010, 7580, 2000, 8244, 1010, 2009, 2515, 2025, 3582, 2008, 1996, 2653, 2323, 2022, 2061, 11866, 9530, 3367, 28551, 2004, 2000, 4652, 1996, 5043, 2389, 2224, 21739, 2030, 1996, 5043, 2389, 2224, 1997, 1996, 4734, 2045, 2378, 1010, 2107, 2004, 1996, 2364, 11448, 1010, 1999, 2107, 1037, 5450, 2004, 2025, 2000, 15115, 2007, 1996, 2364, 5682, 2005, 2029, 1996, 2311, 2038, 2042, 7019, 1010, 1998, 2012, 2335, 2043, 2107, 4734, 2052, 4728, 2022, 10030, 1012, 2096, 1996, 2930, 1997, 1996, 3642, 3166, 10057, 1996, 2810, 1997, 2107, 3121, 1010, 1999, 1996, 3267, 1997, 2477, 1998, 1999, 1996, 6623, 2607, 1997, 2824, 8924, 1997, 8244, 1997, 5233, 2008, 2024, 2627, 2097, 13236, 2000, 2022, 1012, 2023, 2003, 14099, 2135, 12711, 2000, 3655, 2053, 3469, 2084, 1996, 2237, 1997, 8370, 3051, 1998, 2009, 2052, 2022, 4755, 1996, 2801, 2582, 2084, 2057, 2228, 1996, 2653, 1997, 1996, 2552, 5942, 2000, 2907, 2008, 2043, 1996, 8003, 8924, 3615, 2000, 2031, 7024, 2000, 2022, 1010, 1996, 2311, 2442, 3961, 10030, 2030, 3233, 2004, 2019, 4064, 6104, 1012, 1996, 12087, 1999, 2023, 2553, 2003, 2856, 3391, 2000, 1996, 2224, 7936, 1997, 1996, 11448, 1010, 2021, 2013, 1996, 8866, 2077, 2149, 2009, 2003, 6835, 2008, 1996, 11448, 2383, 1037, 10747, 3977, 1997, 14840, 2003, 2881, 2005, 2224, 2069, 2006, 2569, 6642, 1010, 1998, 2104, 2107, 6214, 2057, 2156, 2053, 3114, 2339, 1996, 2604, 1997, 22565, 2030, 1996, 2837, 2872, 2011, 2009, 1999, 2491, 1997, 1996, 2311, 1010, 2323, 2025, 3499, 1996, 5043, 2389, 2224, 1997, 1996, 11448, 2005, 5682, 2025, 20316, 2007, 1996, 5200, 2005, 2029, 1996, 2311, 2001, 7019, 1010, 2030, 2029, 2079, 2025, 27885, 3367, 6820, 6593, 2030, 15115, 2007, 1996, 2224, 1997, 1996, 2311, 2011, 1996, 2367, 8003, 4411, 1010, 2593, 2489, 1997, 3715, 2030, 2005, 1037, 3090, 9430, 1010, 1998, 2947, 4681, 1999, 13366, 9447, 2075, 1996, 11727, 1997, 8498, 1996, 2311, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 4903, 1012, 5354, 2487, 1011, 5354, 2475, 1012, 1007, 1017, 1012, 5345, 1011, 22060, 2006, 3365, 6642, 2057, 2031, 2035, 13936, 2000, 1996, 3277, 1997, 1996, 5043, 2389, 2224, 1997, 4056, 4128, 1012, 1999, 1019, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 14168, 1006, 3386, 1007, 1010, 2005, 2742, 1010, 2057, 5531, 2008, 1037, 2604, 1997, 22565, 2089, 3499, 1996, 2224, 1997, 1037, 8244, 1005, 3986, 2534, 2011, 1037, 2512, 1011, 8244, 3029, 1010, 2073, 2107, 2224, 2003, 2025, 4919, 7775, 1998, 2052, 2025, 15115, 2007, 2049, 2224, 2011, 8244, 1012, 6660, 1010, 1999, 2410, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 5179, 1006, 4085, 1007, 1010, 27818, 1996, 2224, 1997, 2107, 1037, 4322, 1999, 4461, 2221, 1010, 2057, 3090, 1999, 2112, 1024, 1000, 1012, 1012, 1012, 2057, 2228, 1010, 3568, 1010, 2008, 1996, 2810, 2323, 2022, 2008, 2073, 1037, 8244, 1005, 2523, 2003, 2445, 1996, 2224, 1997, 1996, 2311, 2005, 1037, 3180, 3116, 2173, 2030, 8640, 2415, 1010, 2107, 3029, 2442, 2022, 3605, 9578, 1997, 8244, 1010, 2021, 2008, 2023, 2323, 2025, 23469, 1996, 22565, 2013, 24523, 1996, 2224, 1997, 2107, 3121, 2030, 3033, 21739, 2005, 2060, 5682, 5043, 2389, 2000, 1996, 2364, 3800, 2011, 1996, 2110, 1998, 2976, 6867, 2065, 1996, 2604, 1010, 1999, 1996, 6912, 1997, 1037, 2614, 19258, 1010, 16463, 2008, 2107, 2224, 2097, 2025, 15115, 2007, 1996, 2364, 2224, 2030, 3800, 2005, 2029, 2107, 3121, 2020, 3833, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 1052, 1012, 3438, 1025, 2156, 2036, 2385, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 4185, 1006, 3925 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2065, 2023, 5448, 7127, 2008, 2009, 2003, 1523, 2005, 4772, 1010, 1524, 2009, 2003, 3395, 2000, 13921, 2127, 2345, 4772, 1999, 1996, 4174, 9023, 4311, 1012, 2110, 1997, 4174, 2457, 1997, 9023, 2585, 11175, 1010, 19106, 2254, 2403, 1010, 12609, 20579, 1011, 10439, 24178, 1010, 1058, 2053, 1012, 23785, 2581, 16048, 9182, 4984, 2457, 5083, 13859, 1010, 4297, 1010, 29215, 2053, 1012, 2297, 1011, 14748, 2575, 2581, 2683, 1011, 1039, 2480, 13474, 1011, 10439, 14774, 2063, 1012, 2077, 1024, 5673, 26992, 1010, 1052, 1012, 1046, 1012, 1010, 1998, 13975, 1998, 5553, 5054, 1010, 29017, 1012, 2566, 12731, 25557, 1012, 1999, 2023, 3688, 14000, 2241, 3167, 4544, 2895, 1010, 20579, 9023, 2004, 1997, 2157, 1996, 2344, 15080, 12654, 22137, 1999, 5684, 1997, 13474, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 2057, 21358, 27972, 1012, 1045, 1012, 7882, 25854, 1998, 24508, 4281, 2023, 2003, 1996, 2353, 5574, 1999, 2023, 3043, 1012, 2156, 11175, 1058, 5083, 13859, 1010, 4297, 1012, 1006, 11175, 1045, 1007, 1010, 19106, 2566, 12731, 25557, 5448, 1997, 1996, 2457, 1997, 9023, 1010, 3843, 2255, 2423, 1010, 2355, 1006, 8946, 3388, 2053, 1012, 25256, 2692, 22025, 1007, 1025, 11175, 1058, 5083, 13859, 1010, 4297, 1012, 1006, 11175, 2462, 1007, 1010, 19106, 2566, 12731, 25557, 5448, 1997, 1996, 2457, 1997, 9023, 1010, 3843, 2233, 2410, 1010, 2760, 1006, 8946, 3388, 2053, 1012, 27954, 25746, 2575, 1007, 1012, 1999, 20579, 1521, 1055, 2034, 5574, 1010, 2023, 2457, 22539, 2008, 1010, 2023, 2895, 18653, 2013, 20579, 1521, 1055, 4366, 2008, 2002, 4265, 5729, 6441, 2043, 2002, 13749, 17944, 9078, 15464, 5740, 8458, 2368, 15345, 7609, 2011, 13474, 1012, 20579, 1010, 1999, 4013, 2566, 1010, 6406, 2010, 12087, 2006, 2285, 2570, 1010, 2297, 1010, 23294, 4447, 1997, 4945, 2000, 11582, 1010, 24156, 28847, 1010, 1998, 5814, 21262, 1025, 13474, 4660, 2006, 2254, 2756, 1010, 2325, 1012, 2006, 2233, 2676, 1010, 2325, 1010, 20579, 6406, 1037, 4367, 2000, 27950, 2010, 12087, 1010, 1999, 2029, 2002, 2333, 2000, 2110, 2714, 4447, 4606, 1037, 12510, 1997, 1996, 13339, 10943, 2100, 1997, 3006, 8010, 1012, 1031, 11175, 1045, 1010, 4895, 14289, 2497, 6728, 2012, 1016, 1012, 1033, 1999, 2010, 2034, 5574, 1010, 20579, 12068, 1996, 3979, 2457, 1521, 1055, 15322, 1997, 2010, 2553, 2005, 4945, 2000, 3477, 1037, 1002, 3156, 2624, 7542, 1010, 1998, 2023, 2457, 11674, 1998, 2128, 2386, 5732, 1010, 16228, 2008, 1996, 1002, 3156, 2624, 7542, 2001, 24156, 1010, 1998, 1996, 15322, 2001, 2019, 14710, 19519, 2005, 4945, 2000, 3477, 1012, 11175, 1045, 1010, 4895, 14289, 2497, 6728, 2012, 1018, 1012, 1996, 2553, 2001, 2059, 2128, 2386, 5732, 2005, 2582, 8931, 8335, 2007, 2008, 5448, 1012, 8909, 1012, 1011, 1015, 1011, 2044, 2108, 2128, 2386, 5732, 2000, 1996, 3979, 2457, 1010, 13474, 1523, 2333, 1012, 1012, 1012, 2000, 4012, 11880, 20579, 2000, 3696, 20104, 3596, 2005, 2713, 1997, 2010, 2966, 2636, 1012, 1524, 11175, 2462, 1010, 4895, 14289, 2497, 6728, 2012, 1015, 1012, 1523, 2058, 20579, 1521, 1055, 7522, 1011, 5776, 14293, 17304, 1010, 1996, 3979, 2457, 4379, 13474, 1521, 1055, 4367, 1031, 1012, 1033, 1524, 8909, 1012, 2174, 1010, 20579, 4188, 2000, 3696, 2151, 20104, 3596, 2005, 2713, 1997, 2010, 2966, 2636, 1012, 1996, 3979, 2457, 2947, 1523, 3133, 2019, 2344, 28913, 20579, 1521, 1055, 2553, 2302, 18024, 1012, 1524, 8909, 1012, 20579, 1521, 1055, 2117, 5574, 2000, 2023, 2553, 2628, 1012, 2153, 1010, 2023, 2457, 11674, 1998, 2128, 2386, 5732, 2005, 2582, 8931, 1012, 2023, 2457, 3264, 2008, 1523, 13474, 4912, 2966, 2636, 2013, 20579, 1521, 1055, 12318, 11572, 2000, 5646, 3251, 20579, 2001, 2635, 2151, 2060, 14667, 2012, 1996, 2051, 1997, 1996, 6884, 4544, 2008, 2089, 2031, 3303, 2217, 3896, 2714, 2000, 1996, 3924, 4453, 1999, 2010, 12087, 1012, 1524, 8909, 1012, 2012, 1016, 1012, 13474, 4912, 2023, 2592, 2104, 11338, 2099, 1016, 1012, 26257, 1006, 1039, 1007, 1006, 1015, 1007, 1998, 11338, 2099, 1016, 1012, 26257, 1006, 1037, 1007, 1012, 2174, 1010, 20579, 1523, 13647, 2008, 1996, 2966, 2636, 4912, 2011, 13474, 2020, 21598, 1010, 1998, 3568, 2025, 7523, 3085, 1012, 11338, 2099, 1016, 1012, 26257, 1006, 1039, 1007, 1006, 1015, 1007, 1006, 1038, 1007, 1025, 11338, 2099, 1016, 1012, 26257, 1006, 1037, 1007, 1006, 1015, 1007, 1006, 1038, 1007, 1012, 4919, 1010, 20579, 13647, 1996, 7522, 1011, 5776, 14293, 1010, 2029, 2038, 2049, 6147, 1999, 11338, 2140, 5174, 1012, 17405, 2581, 1012, 1524, 8909, 1012, 2012, 1016, 1011, 1017, 1012, 2023, 2457, 11178, 5531, 2008, 20579, 2001, 4709, 2000, 20865, 1996, 7522, 1011, 5776, 14293, 1012, 2023, 2457, 2036, 4541, 2008, 2104, 11338, 2140, 5174, 1012, 17405, 2581, 1010, 9339, 2917, 1999, 7882, 2112, 1024, 2065, 1996, 5776, 7545, 2019, 2895, 2114, 2151, 13474, 2000, 8980, 2005, 2151, 3167, 6441, 1010, 2030, 2005, 2151, 15451, 18098, 28804, 2063, 1010, 1998, 1996, 5776, 7137, 1037, 7522, 2004, 1037, 7409, 1999, 1996, 5776, 1521, 1055, 2219, 6852, 2040, 2038, 5845, 1996, 5776, 2005, 1996, 4544, 2030, 2005, 2151, 4295, 2030, 4650, 2005, 2029, 1996, 15451, 18098, 28804, 2063, 2003, 6884, 1010, 1996, 5776, 4618, 2022, 2641, 2000, 2031, 16301, 1996, 14293, 3024, 1999, 2023, 2930, 2004, 2000, 2178, 7522, 2040, 2038, 5845, 1996, 5776, 2005, 1996, 6441, 1010, 4295, 1010, 2030, 4650, 1012, 2023, 9347, 2003, 2170, 1996, 5776, 1011, 5507, 13340, 4263, 6453, 1012, 2455, 20806, 2271, 1058, 12803, 8411, 6072, 1010, 3429, 2509, 23025, 2232, 21064, 1010, 4700, 2549, 1025, 4583, 2575, 22064, 2475, 2094, 4700, 2475, 1006, 2727, 1007, 1012, 2174, 1010, 2023, 2457, 5531, 2008, 1996, 5776, 1011, 5507, 13340, 4263, 6453, 2106, 2025, 6611, 1999, 2023, 2553, 1010, 2073, 1024, 20579, 2003, 1996, 5776, 1998, 2038, 2716, 2019, 2895, 2005, 3167, 4544, 2114, 13474, 1012, 2174, 1010, 2498, 1999, 1996, 2501, 7127, 2008, 20579, 2038, 2550, 2010, 2219, 12318, 7522, 2030, 1523, 2550, 2178, 12318, 7522, 2004, 1037, 7409, 1524, 2029, 2052, 9495, 1996, 4646, 1997, 1996, 5776, 1011, 5507, 13340, 4263, 6453, 1012, 1999, 2755, 1010, 1996, 2069, 7409, 20579, 2038, 4453, 2012, 2023, 2391, 1999, 1996, 15382, 2003, 16964, 1040, 1012, 2482, 5420, 1010, 2040, 2163, 1999, 2014, 21358, 8873, 29045, 4183, 2008, 2016, 2973, 2007, 20579, 1998, 5159, 2032, 13749, 4355, 1996, 15345, 1012, 2348, 13474, 9251, 2008, 20579, 18754, 2000, 11160, 2006, 2010, 12318, 7522, 1010, 20579, 1521, 1055, 5456, 10960, 2079, 2025, 2490, 2008, 23617, 1012, 11914, 1010, 2138, 20579, 2038, 13647, 1037, 9398, 14293, 2000, 2010, 2966, 2636, 1010, 1996, 3979, 2457, 16999, 2049, 19258, 2011, 13063, 20579, 2000, 3696, 20104, 3596, 2061, 2008, 13474, 2071, 6855, 2216, 2636, 1012, 1031, 11175, 2462, 1010, 4895, 14289, 2497, 6728, 2012, 1017, 1011, 1018, 1012, 1033, 2153, 1010, 2023, 2553, 2513, 2000, 1996, 3979, 2457, 1010, 2073, 1996, 4243, 2506, 2000, 8526, 1999, 2517, 1998, 8700, 5456, 1012, 1011, 1016, 1011, 2776, 1010, 13474, 2333, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 13474, 4821, 2333, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 2006, 2251, 2676, 1010, 2760, 1012, 13474, 4541, 2008, 2009, 22027, 1998, 14555, 2058, 1011, 1996, 1011, 4675, 1006, 27178, 2278, 1007, 20992, 2107, 2004, 3336, 2004, 8197, 6657, 1998, 9078, 15464, 5740, 8458, 2368, 1010, 1998, 2059, 16062, 2015, 2122, 20992, 2000, 17264, 2869, 1012, 1996, 20992, 2009, 22027, 2024, 2196, 2853, 2000, 1996, 2270, 1010, 4496, 2024, 2027, 21972, 2005, 5096, 2000, 1996, 2270, 1012, 2738, 1010, 2027, 2024, 4156, 2011, 8323, 1010, 8329, 5014, 1010, 1998, 6887, 27292, 20499, 1012, 13474, 4914, 2008, 1999, 2238, 2286, 1010, 2009, 3843, 1037, 9053, 9131, 2005, 2049, 3336, 2004, 8197, 6657, 2138, 2028, 6887, 27292, 6305, 2923, 1999, 9763, 2479, 4384, 2008, 2028, 5835, 1997, 3336, 2004, 8197, 6657, 2246, 1523, 29295, 2367, 2084, 1031, 2009, 1033, 2323, 1010, 1524, 1998, 2941, 4838, 9078, 15464, 5740, 8458, 2368, 2612, 1997, 3336, 2004, 8197, 6657, 1012, 2085, 1010, 13474, 5275, 1010, 20579, 3555, 2008, 2002, 13749, 17944, 9078, 15464, 5740, 8458, 2368, 2612, 1997, 3336, 2004, 8197, 6657, 2044, 8110, 20422, 2015, 2012, 1037, 26226, 2015, 13882, 1999, 7876, 2669, 1010, 4174, 1012, 2174, 1010, 20579, 4914, 2012, 2010, 19806, 2008, 2002, 2053, 2936, 2038, 1996, 5835, 2030, 1996, 15345, 2008, 2002, 13749, 17944, 2138, 2002, 3908, 2068, 1012, 9308, 1010, 2348, 20579, 8509, 2010, 3558, 4650, 2046, 6704, 1010, 20579, 4188, 2000, 26056, 2010, 2966, 2636, 3141, 2000, 2010, 4447, 1010, 1998, 2036, 4188, 2000, 3696, 20104, 2015, 2005, 1996, 2713, 1997, 2966, 2636, 1010, 8951, 9394, 1012, 2348, 1523, 20579, 2106, 3073, 3155, 3263, 6721, 1010, 3538, 4168, 9453, 2094, 1010, 1998, 12958, 2636, 2013, 2536, 2966, 11670, 7478, 2013, 2384, 2083, 2286, 1010, 2087, 1012, 1012, 1012, 2024, 2192, 15773, 1998, 5665, 13910, 7028, 1010, 2302, 2151, 22616, 2013, 1037, 12731, 16033, 11692, 1997, 2636, 2004, 2000, 1996, 10640, 2030, 3143, 2791, 1997, 1996, 2636, 1012, 1524, 2947, 1010, 13474, 5275, 1010, 20579, 2003, 4039, 2000, 3113, 2010, 10859, 1998, 5323, 3674, 6827, 3787, 1997, 2010, 4366, 1024, 14000, 1010, 12394, 1010, 1998, 6187, 10383, 3508, 1012, 11914, 1010, 13474, 5275, 2009, 2001, 4709, 2000, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 1996, 3979, 2457, 3530, 2007, 13474, 1010, 16228, 2006, 1996, 2501, 2008, 20579, 2001, 4039, 2000, 2556, 2151, 3350, 1997, 6187, 10383, 3508, 2030, 12394, 1010, 1998, 3568, 13474, 2001, 4709, 2000, 12654, 22137, 1012, 2019, 2344, 15080, 13474, 1521, 1055, 4367, 2005, 12654, 22137, 2005, 1996, 4436, 3090, 2006, 1996, 2501, 2001, 3133, 2006, 2244, 2260, 1010, 2760, 1012, 2023, 5574, 2628, 1012, 2462, 1012, 3115, 1997, 3319, 13474, 2333, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 2023, 2457, 4391, 1037, 3979, 2457, 1521, 1055, 9128, 2006, 1037, 4367, 2005, 12654, 22137, 2139, 24576, 1012, 11821, 3636, 25805, 4632, 10085, 1010, 1035, 1035, 1035, 23025, 2232, 10439, 2012, 1035, 1035, 1035, 1025, 7540, 6728, 2012, 2410, 1012, 1523, 12654, 22137, 2003, 5372, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 2065, 1996, 21358, 8873, 29045, 12762, 1998, 2060, 4516, 3350, 2265, 2008, 2045, 2003, 2053, 10218, 3277, 7175, 2151, 3430, 2755, 1998, 2008, 1996, 3048, 2283, 2003, 4709, 2000, 8689, 2004, 1037, 3043, 1997, 2375, 1012, 1524, 8909, 1012, 1010, 27394, 9350, 13006, 1058, 2103, 1997, 17083, 11627, 1010, 24622, 23025, 2232, 10439, 6421, 2629, 1010, 6356, 2575, 1025, 5594, 2620, 22064, 2475, 2094, 12904, 1006, 2297, 1007, 1012, 2588, 2108, 3591, 2007, 1037, 4367, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1010, 1037, 3979, 2457, 1521, 1055, 1523, 4708, 2003, 2000, 3319, 1996, 2501, 3350, 1010, 1998, 2035, 9608, 28937, 2015, 2045, 19699, 5358, 1010, 1998, 5630, 3251, 1037, 10218, 3277, 1997, 2151, 3430, 2755, 6526, 2000, 10943, 1037, 3979, 1012, 1524, 17451, 1058, 2675, 1040, 2522, 1010, 4008, 2629, 23025, 2232, 16710, 1010, 17832, 1025, 4868, 2575, 22064, 2475, 2094, 28245, 1006, 2807, 1007, 1006, 3329, 22074, 16647, 1007, 1012, 3523, 1012, 4106, 1999, 2023, 2553, 1010, 20579, 6406, 1037, 3167, 4544, 4366, 1010, 15685, 1999, 3688, 14000, 1010, 2114, 13474, 1010, 1996, 7751, 1997, 2536, 27178, 2278, 20992, 1010, 2164, 3336, 2004, 8197, 6657, 1998, 9078, 15464, 5740, 8458, 2368, 1012, 20579, 4447, 2008, 2002, 3561, 1037, 20422, 2005, 3336, 2004, 8197, 6657, 2012, 2010, 2334, 5850, 19277, 1010, 1998, 2001, 2445, 1037, 4031, 7609, 2011, 13474, 1998, 12599, 2004, 3336, 2004, 8197, 6657, 1012, 1011, 1017, 1011, 2174, 1010, 2612, 1997, 3336, 2004, 8197, 6657, 1999, 1996, 20422, 5835, 1010, 2009, 2001, 2941, 9078, 15464, 5740, 8458, 2368, 1010, 2029, 2588, 13749, 4355, 3258, 1010, 3303, 20579, 2000, 9015, 1523, 6724, 1010, 18972, 1010, 6034, 16342, 1010, 22939, 12171, 20192, 1010, 3255, 1999, 4308, 1006, 2926, 3356, 2157, 4664, 1007, 1010, 12052, 12251, 1010, 1998, 5122, 14708, 2015, 1012, 1524, 20579, 3555, 2008, 13474, 3478, 2000, 11582, 20579, 1997, 2019, 4895, 16416, 3385, 8231, 4795, 4650, 2073, 9078, 15464, 5740, 8458, 2368, 2001, 12599, 1998, 2853, 2004, 3336, 2004, 8197, 6657, 1010, 1998, 2008, 13749, 4355, 3258, 1997, 9078, 15464, 5740, 8458, 2368, 3303, 2010, 4544, 1012, 1996, 3979, 2457, 5531, 2008, 20579, 2001, 4039, 2000, 5323, 6187, 10383, 3508, 2030, 12394, 8800, 2000, 2010, 4366, 1010, 1998, 4379, 12654, 22137, 1999, 5684, 1997, 13474, 1012, 2057, 5993, 1012, 2004, 2256, 4259, 2457, 20742, 1999, 17451, 1010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 8417, 6335, 3148, 1045, 1012, 6335, 25811, 1998, 15745, 17190, 1040, 1012, 24471, 23722, 12761, 3921, 2000, 3795, 2470, 1998, 2495, 1024, 9373, 1998, 4118, 10091, 3314, 2434, 3793, 1998, 7604, 1996, 3720, 7534, 2019, 12761, 3921, 2000, 3795, 6553, 2015, 2029, 2097, 2817, 3795, 6194, 1998, 3001, 1010, 3952, 1010, 24370, 1998, 3795, 3471, 2004, 12362, 2000, 2037, 2458, 1998, 7189, 2000, 1998, 3265, 1998, 2554, 1012, 1996, 2364, 3395, 1997, 12761, 3795, 6553, 2015, 2003, 3795, 2458, 2004, 2019, 6622, 1997, 3795, 6194, 1998, 3001, 1012, 1996, 4145, 1997, 12761, 3795, 6553, 2015, 2003, 2641, 2306, 1996, 6123, 1997, 1996, 5415, 1006, 3795, 1007, 6622, 2964, 1998, 2825, 6653, 2000, 1996, 9084, 2458, 1010, 1998, 2036, 4195, 1997, 2536, 5711, 1997, 2053, 25444, 1012, 2495, 2003, 3497, 2000, 13595, 21865, 3303, 2011, 1996, 12761, 3431, 1997, 1996, 2878, 10585, 1998, 8290, 2090, 2554, 1998, 3267, 1012, 2045, 2097, 3711, 2019, 12761, 2846, 1997, 3795, 4275, 1997, 2495, 6194, 1998, 3001, 1010, 3225, 2013, 1996, 2747, 4493, 6388, 7047, 1997, 3795, 2495, 1010, 2059, 2495, 2005, 1996, 3795, 2832, 1997, 9084, 2458, 1010, 1998, 2036, 4195, 1997, 2119, 2053, 2891, 27921, 2594, 2495, 1010, 1998, 1520, 3795, 1998, 12761, 1521, 3596, 1997, 2495, 1012, 1996, 2556, 3720, 15841, 2070, 2236, 3314, 4198, 2007, 1996, 6210, 1997, 3795, 2913, 1010, 2049, 3395, 1010, 3570, 1010, 18444, 1010, 2364, 7826, 1998, 3471, 1997, 2023, 2492, 1012, 1996, 3166, 1005, 1055, 2597, 7175, 1037, 2193, 1997, 8050, 3314, 2003, 19788, 1010, 8419, 1024, 2054, 2003, 3795, 2913, 1025, 3251, 2023, 3589, 2003, 1037, 2671, 1025, 2054, 2003, 2049, 3570, 1025, 2054, 2173, 3795, 2913, 2907, 1999, 1996, 2291, 1997, 2715, 4163, 1025, 3251, 3795, 2913, 7141, 2000, 2576, 4163, 1010, 4163, 2055, 1996, 2248, 4262, 2030, 2000, 9569, 12736, 1012, 1996, 2364, 3277, 1997, 2023, 3720, 5936, 1996, 2206, 3277, 1024, 2129, 1996, 4676, 1999, 3522, 2086, 2038, 2468, 1996, 2350, 3395, 1997, 1996, 2088, 4331, 1998, 2248, 4262, 1010, 2025, 2560, 2138, 1996, 4676, 2038, 2596, 1999, 1996, 2415, 1997, 2070, 4795, 2088, 3795, 9755, 1012, 2009, 2003, 4928, 2008, 2715, 3795, 2381, 2029, 2764, 1999, 1996, 6123, 1997, 4487, 13102, 23056, 6594, 2006, 24370, 3957, 2149, 1996, 3382, 2000, 3305, 2006, 1996, 2028, 2192, 2129, 1996, 3395, 1997, 4676, 2038, 2042, 6439, 1999, 1996, 2088, 4331, 2913, 1010, 1998, 2006, 1996, 2060, 2129, 2096, 5702, 4676, 1999, 3327, 2049, 24846, 2433, 1996, 2248, 4262, 2031, 2036, 2042, 15486, 1999, 3193, 1997, 2049, 5377, 1998, 15884, 5142, 1997, 10644, 3989, 1012, 2061, 2119, 3033, 1997, 1996, 8522, 8568, 2169, 2060, 1999, 2116, 17475, 1012, 2009, 2003, 8281, 2005, 1996, 3252, 1997, 3834, 12736, 1010, 1999, 3327, 1999, 1996, 2530, 2088, 1012, 2536, 7826, 1997, 2529, 4023, 2031, 2468, 2062, 4876, 4198, 1999, 1996, 2715, 3795, 2088, 1012, 2009, 2003, 2092, 3491, 2011, 1996, 3522, 2088, 5325, 2029, 2383, 2318, 1999, 1996, 3361, 1998, 3171, 19885, 3659, 2000, 2591, 1010, 2576, 1998, 2060, 19885, 1997, 2270, 2166, 2200, 2855, 1010, 2383, 5360, 2025, 2069, 3430, 1010, 2021, 2036, 6259, 10100, 1997, 2270, 2166, 1024, 3226, 1010, 2671, 1010, 2495, 1012, 2000, 5326, 1037, 2488, 4824, 1997, 3375, 3267, 1997, 1996, 3471, 1997, 2023, 3395, 1996, 8368, 2604, 1997, 1996, 3485, 1520, 2287, 1997, 24370, 1521, 12068, 2000, 17824, 8519, 2000, 4671, 2037, 5448, 2006, 2023, 2391, 1012, 2023, 3259, 2097, 3579, 2006, 1996, 3937, 2591, 26917, 1010, 2349, 2000, 1996, 2784, 1010, 2411, 17092, 4736, 2090, 16498, 1010, 1996, 2364, 5013, 1997, 1996, 2364, 2112, 1997, 1996, 2088, 1010, 2029, 2064, 2022, 3421, 2004, 1037, 2061, 1011, 2170, 3171, 3796, 4974, 1998, 2019, 6383, 2433, 1997, 7025, 1010, 2029, 1045, 2097, 2655, 1520, 5499, 8050, 2964, 1521, 11243, 1996, 8330, 2744, 1997, 1520, 3412, 8050, 2964, 1521, 1012, 1045, 2903, 2008, 2023, 26917, 1010, 2029, 3463, 2013, 4895, 7959, 14795, 4935, 1997, 6233, 3795, 3550, 3171, 16498, 1010, 3658, 2012, 1996, 7117, 1997, 1996, 1023, 1013, 2340, 2824, 1012, 9230, 2038, 2467, 2042, 1996, 2087, 2590, 6922, 1997, 3171, 2458, 1998, 2591, 5082, 1999, 2116, 3032, 1012, 4450, 9230, 4150, 2028, 1997, 1996, 2350, 4219, 1997, 1996, 3164, 8346, 2073, 7816, 1997, 4450, 9230, 2003, 4146, 2012, 1996, 2555, 1011, 2898, 2504, 2144, 2069, 2107, 2312, 8346, 9209, 2478, 12637, 1997, 7660, 1997, 1996, 6089, 1010, 7692, 7888, 1998, 4450, 4022, 2015, 2064, 19319, 1999, 1996, 3785, 1997, 1996, 3652, 2971, 1997, 1996, 3795, 3550, 2088, 1012, 2174, 1010, 2065, 9230, 2003, 2025, 12222, 2011, 1996, 11706, 4277, 1998, 3513, 1010, 2009, 22382, 1037, 5473, 2000, 2529, 2916, 11371, 1997, 2111, 8019, 1999, 2009, 1998, 2591, 6980, 1012, 2651, 6594, 2055, 9230, 5836, 1037, 26917, 2090, 3171, 7961, 1997, 24370, 1010, 2006, 1996, 2028, 2192, 1010, 1998, 1996, 7191, 5300, 3591, 2011, 1996, 4145, 1997, 2529, 2916, 1010, 2006, 1996, 2060, 1012, 2045, 2024, 2411, 22939, 12589, 3973, 4941, 5328, 2006, 1996, 3471, 1997, 8650, 2916, 1997, 1996, 16836, 1999, 3193, 1997, 2122, 23145, 1010, 2926, 1997, 2216, 2040, 2031, 2053, 3423, 3570, 1010, 1998, 5427, 1997, 3808, 1998, 2591, 9211, 2065, 3097, 4480, 2024, 2104, 3860, 1997, 1996, 2120, 6094, 1012, 1999, 1996, 4507, 1997, 3679, 2166, 2023, 26917, 7679, 2006, 1996, 3291, 1997, 9230, 2004, 1037, 7444, 4323, 1997, 6594, 2055, 1996, 3276, 1997, 4450, 1998, 3007, 1010, 1996, 4353, 1997, 3318, 2013, 3171, 4023, 1010, 2055, 1996, 7816, 1997, 2551, 3785, 1998, 2166, 1998, 2129, 3097, 3667, 1998, 2942, 2554, 2064, 2969, 1011, 10939, 2000, 5675, 2618, 1998, 4047, 1996, 2916, 4415, 1012, 1996, 3720, 5836, 1996, 4187, 4106, 1997, 1996, 4145, 1997, 1520, 2576, 24370, 1521, 2109, 2011, 20248, 18155, 26116, 2002, 3351, 8202, 2000, 6366, 1996, 6481, 1997, 2120, 12601, 1010, 2120, 5426, 1010, 5703, 1997, 2749, 1010, 1998, 2036, 1996, 4696, 1520, 4935, 1521, 1012, 1037, 14099, 2535, 1997, 1996, 2110, 2004, 1996, 2364, 3395, 1997, 2248, 4262, 1998, 1037, 19739, 20486, 4263, 1997, 1996, 2088, 2291, 3528, 2003, 4928, 1010, 1998, 2036, 1037, 2535, 1997, 1996, 2110, 2240, 2004, 1037, 5468, 1997, 2613, 12601, 1999, 1996, 3785, 1997, 1996, 5325, 1997, 1996, 22952, 2078, 2291, 2580, 2011, 2592, 1998, 3171, 24370, 1012, 2070, 5919, 1997, 1996, 2236, 1011, 3800, 7888, 1997, 2437, 3675, 3343, 1997, 1996, 2110, 2076, 1996, 2695, 1011, 22952, 2078, 3690, 2024, 2641, 1012, 1996, 4045, 16406, 1997, 1996, 17859, 10100, 1997, 24370, 2003, 2641, 1999, 1996, 3720, 2004, 1996, 3539, 4650, 1997, 2458, 1997, 24370, 1999, 1996, 3257, 1997, 4195, 1997, 1996, 8790, 3795, 2291, 1012, 1996, 3720, 15102, 4436, 1997, 1996, 5325, 5159, 1999, 2093, 4942, 29390, 13367, 1024, 2576, 1010, 3423, 1998, 3171, 1012, 1996, 3166, 13999, 1996, 9459, 2008, 1996, 2364, 3291, 3774, 1999, 1996, 2291, 1997, 17606, 1998, 3937, 5300, 1997, 3795, 2291, 1012, 3937, 6481, 1997, 1996, 7978, 4023, 1999, 5576, 1997, 1996, 3291, 2024, 2036, 6936, 1012, 1996, 5151, 2845, 2228, 2121, 1010, 9667, 1010, 4706, 6288, 1010, 2270, 2923, 1010, 1998, 3761, 9805, 2854, 7349, 14604, 12933, 10556, 20444, 4939, 6017, 1996, 3770, 2705, 5315, 1012, 2000, 2023, 9487, 3058, 2057, 10172, 1996, 9667, 1005, 1055, 3720, 2517, 1999, 1996, 2197, 2301, 1010, 2021, 2029, 2038, 2025, 2439, 2049, 7784, 13367, 1012, 1996, 3086, 2003, 3825, 2000, 2529, 2916, 2004, 2000, 1037, 2825, 10465, 2090, 8578, 2306, 1996, 7789, 7982, 1999, 2023, 3720, 1012, 1996, 3166, 11014, 2000, 9002, 2000, 7789, 27363, 1997, 13249, 1997, 24784, 1998, 17193, 2005, 1996, 3971, 2000, 9462, 16625, 1997, 2529, 2916, 2006, 2060, 8578, 1012, 2009, 2003, 3491, 2008, 1996, 4118, 1997, 1996, 2892, 1011, 3451, 21358, 27972, 2075, 1997, 2529, 2916, 2302, 3327, 5919, 1997, 3584, 8578, 1998, 24784, 5320, 1996, 5012, 2000, 21171, 1998, 6905, 2426, 2111, 1012, 1996, 2034, 2112, 1997, 1996, 3720, 2003, 7422, 2000, 1037, 2460, 3319, 1997, 1996, 2846, 1997, 3471, 1997, 1996, 6594, 1998, 7982, 1010, 1996, 2117, 2028, 9144, 2007, 2892, 1011, 3451, 1998, 6970, 6895, 21661, 9276, 3267, 1997, 2023, 6594, 1010, 1999, 1996, 2353, 2028, 2529, 2916, 2024, 2641, 2006, 1996, 3978, 1997, 1996, 2682, 1011, 3855, 8866, 1010, 1998, 1996, 2197, 1010, 2345, 2112, 5936, 3423, 5491, 2006, 2529, 2916, 1012, 1996, 4784, 1997, 2142, 2885, 6003, 2146, 3283, 1010, 2012, 1996, 2927, 1997, 1996, 5767, 13013, 13098, 1012, 2101, 2116, 5151, 24762, 1010, 6529, 1010, 17586, 1010, 8801, 1010, 1998, 4898, 2764, 2068, 1999, 2536, 7826, 1012, 1999, 2613, 3218, 2885, 2038, 2196, 2042, 2142, 2593, 5636, 3973, 1010, 2030, 10317, 1012, 1996, 4195, 1997, 1037, 2691, 2647, 4547, 2686, 15980, 2025, 16905, 1010, 2021, 12016, 1010, 8203, 27226, 1997, 2120, 2495, 3001, 1998, 4547, 8578, 2007, 8347, 1997, 1996, 2120, 4767, 1998, 10585, 25995, 1012, 1996, 2535, 1997, 3607, 1999, 2023, 2832, 2003, 2200, 3278, 1012, 2108, 1996, 2922, 23399, 2406, 3607, 2038, 3278, 20248, 18155, 26116, 1998, 20248, 1011, 3171, 12637, 1998, 7863, 2135, 2323, 4503, 1037, 4800, 1011, 9207, 3097, 3343, 1012, 1999, 1996, 3720, 1996, 3166, 17908, 2015, 2715, 2845, 3343, 1999, 1996, 16512, 1012, 2009, 2003, 3491, 2008, 2651, 5499, 9452, 4411, 2024, 1996, 2364, 2576, 2486, 3554, 2114, 3607, 1012, 2027, 2224, 2367, 4219, 1024, 3095, 2075, 1010, 3361, 1010, 17859, 1998, 2576, 1012, 1996, 3360, 1997, 1996, 23368, 5152, 24822, 2003, 1996, 2364, 2591, 2177, 2029, 2003, 1997, 3037, 2005, 1996, 9452, 6125, 1999, 3408, 1997, 3095, 2075, 1012, 7025, 2964, 2038, 2049, 2219, 13165, 20852, 2009, 2013, 19802, 25879, 2964, 2007, 2367, 12285, 10595, 1010, 4655, 1997, 4353, 1010, 6818, 1998, 25353, 8737, 25457, 6774, 1012, 3343, 2018, 2036, 2000, 2022, 2904, 4414, 1012, 2076, 1037, 8724, 1999, 1996, 23368, 3343, 1996, 4099, 3421, 2011, 7490, 7025, 2964, 3266, 2000, 2468, 6428, 13296, 2135, 1010, 13732, 1998, 17859, 2135, 1010, 1998, 2036, 2211, 1037, 2047, 2461, 1997, 1996, 4273, 3233, 1011, 2125, 2007, 3607, 1012, 2085, 1010, 2043, 1996, 21160, 1997, 1996, 3291, 2150, 24509, 1010, 24209, 11475, 27453, 2135, 2047, 2845, 3343, 2003, 5901, 2719, 1999, 1996, 16512, 1012, 1996, 3720, 2003, 7422, 2000, 1996, 3291, 2029, 27583, 1996, 10661, 2055, 4767, 1997, 3607, 1998, 1996, 3354, 2586, 2083, 2591, 1998, 9569, 4106, 1997, 4195, 1998, 2458, 1997, 3607, 1010, 2083, 2049, 9329, 6558, 1997, 7863, 3785, 1998, 20714, 5387, 1012, 1996, 11113, 20872, 14227, 4765, 1997, 2023, 10661, 2064, 2022, 1996, 2034, 3357, 2006, 1996, 2126, 1997, 5069, 1997, 2204, 11429, 2135, 4262, 2090, 2885, 1010, 4021, 1998, 3607, 1012, 2651, 2057, 2064, 11949, 1996, 5751, 1997, 22031, 1997, 1520, 1996, 2353, 4400, 1521, 1997, 7072, 1010, 1998, 1996, 2927, 1997, 1996, 2832, 1997, 2049, 5466, 5963, 1012, 2057, 2064, 2156, 2023, 3537, 10457, 21273, 2075, 2025, 2069, 1999, 3607, 1010, 2021, 2036, 1999, 2060, 3032, 1997, 1996, 2088, 1012, 2023, 3720, 2003, 7422, 2000, 2236, 3989, 1997, 1996, 5067, 8866, 1998, 1996, 4106, 1997, 1996, 4436, 1997, 10457, 21273, 2075, 1997, 1520, 1996, 2353, 4400, 1521, 1997, 7072, 1012, 2478, 3430, 6553, 16134, 1996, 3166, 3065, 2008, 1996, 5823, 1997, 2561, 25691, 3001, 2124, 1999, 2381, 2004, 14649, 2001, 4198, 2007, 2037, 3171, 5325, 1012, 1996, 6196, 2112, 1997, 27246, 25228, 1997, 1996, 2088, 2003, 2241, 2588, 1996, 4273, 2749, 1012, 13948, 1997, 2582, 2458, 1997, 7072, 1999, 1037, 2193, 1997, 3032, 2003, 3303, 2025, 2069, 2011, 3171, 16003, 1997, 25934, 1012, 1999, 2116, 3032, 4071, 2716, 18549, 1010, 19802, 25879, 2964, 1998, 4353, 1997, 10130, 1012, 1996, 3166, 9228, 5082, 2875, 7072, 2007, 6194, 1997, 4314, 3989, 1997, 4610, 1010, 1998, 9891, 1037, 7091, 2008, 27246, 2964, 2003, 2241, 2006, 1996, 2110, 15112, 2964, 1998, 10860, 5635, 1012, 2009, 2064, 2022, 3249, 2069, 2011, 2965, 1997, 3343, 1997, 2591, 26505, 4346, 6624, 1997, 1996, 2087, 2112, 1997, 2313, 1999, 4450, 1998, 2449, 4023, 1998, 4637, 2008, 2112, 1997, 2313, 2029, 3685, 4287, 2041, 2122, 4972, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 2556, 11028, 14623, 2000, 1037, 4118, 2005, 5024, 11787, 17669, 5949, 2015, 1010, 1998, 2062, 3391, 2000, 1037, 4118, 2005, 9229, 1996, 2146, 1011, 2744, 5527, 6459, 1997, 5024, 7810, 17669, 5949, 2015, 9605, 9233, 5991, 2029, 2024, 2000, 2022, 21866, 1999, 18276, 2030, 2345, 5527, 16143, 1012, 1996, 9233, 5991, 15821, 3653, 7011, 23736, 12921, 14692, 17596, 4820, 17669, 13978, 1998, 2019, 16389, 8185, 2029, 10843, 20626, 2122, 17596, 1998, 2003, 5024, 1999, 2049, 2345, 2110, 1012, 17669, 5949, 2015, 2442, 2022, 22442, 2005, 4568, 5527, 1010, 1045, 1012, 1041, 1012, 2027, 2442, 2022, 4991, 2007, 1996, 4681, 1997, 8185, 4475, 2046, 5024, 7810, 3688, 1012, 2107, 5024, 7810, 3688, 2442, 2031, 1037, 2152, 5012, 2000, 24520, 2075, 1997, 1996, 17669, 13978, 2011, 1037, 4226, 3560, 7300, 1012, 2005, 5949, 10152, 2015, 4820, 5396, 1998, 3811, 17669, 5949, 2015, 1998, 1013, 2030, 2552, 5498, 6155, 1010, 2030, 2005, 2986, 1011, 8982, 2098, 5024, 5949, 2015, 2029, 2024, 2556, 2004, 8636, 2015, 1999, 2300, 2030, 12737, 2030, 2005, 8494, 2015, 1010, 14692, 8185, 4475, 2031, 2042, 2109, 1010, 2426, 2500, 1010, 2000, 2433, 1996, 5024, 7810, 3688, 1012, 1996, 17669, 5949, 2015, 2024, 3816, 2007, 2122, 8185, 4475, 1010, 2024, 5044, 1998, 8254, 14050, 2000, 2433, 27846, 6540, 4230, 1012, 2005, 4436, 1997, 2147, 8010, 1997, 2107, 14692, 4475, 1010, 1996, 13855, 4338, 2038, 2042, 3479, 2005, 1996, 14692, 5024, 9031, 3688, 1012, 1999, 6958, 1010, 17669, 5949, 2015, 2008, 2031, 2042, 22442, 1999, 2023, 5450, 2064, 2022, 8250, 1999, 7218, 16143, 1999, 1037, 4568, 5527, 4322, 1012, 2045, 2079, 4839, 1010, 2174, 1010, 2070, 6196, 4009, 12221, 2007, 1996, 13855, 5044, 5024, 9031, 3688, 1012, 2947, 1010, 2065, 1996, 18276, 2030, 2345, 5527, 11661, 2003, 5591, 1010, 1996, 17596, 2089, 2022, 7932, 2055, 1012, 1996, 5473, 1997, 18701, 2003, 2059, 19335, 9839, 1012, 9308, 1010, 1996, 9625, 1997, 2107, 17596, 17367, 1037, 2200, 2312, 3302, 2181, 1012, 1999, 1996, 2553, 1997, 1996, 4443, 1997, 26820, 1010, 2005, 2742, 1010, 2300, 2030, 1037, 4226, 3560, 5474, 7300, 1010, 1996, 24520, 8613, 1997, 17669, 13978, 2566, 3131, 2051, 2003, 4659, 2152, 1012, 2582, 1010, 3684, 4487, 18719, 24952, 2239, 2013, 1996, 9625, 13855, 6039, 2003, 3132, 1012, 2122, 4009, 12221, 2064, 2022, 9462, 2065, 9625, 17469, 1997, 14692, 17596, 1010, 3005, 3265, 3872, 2003, 1999, 1996, 4971, 18622, 3334, 2846, 1010, 2024, 5024, 7810, 2007, 1996, 4681, 1997, 1037, 6039, 2121, 2030, 14187, 2121, 2046, 9233, 1998, 27846, 6540, 5991, 1012, 1996, 3872, 1997, 2122, 5991, 2003, 1996, 23675, 2846, 1012, 2107, 6039, 2545, 2030, 14187, 2545, 2097, 2182, 3981, 6199, 2121, 2022, 2170, 1996, 7142, 8185, 1012, 2139, 1011, 8827, 2053, 1012, 1016, 1010, 5824, 2575, 1010, 5511, 2581, 1998, 7978, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1018, 1010, 27502, 1010, 23859, 26056, 1037, 4118, 2005, 5024, 11787, 2107, 17669, 5949, 2015, 1012, 1999, 3327, 1010, 2122, 5491, 26056, 1037, 4118, 2005, 5024, 11787, 2152, 1998, 5396, 2557, 18908, 7730, 1998, 1013, 2030, 2552, 5498, 3207, 4820, 1037, 4226, 3560, 5949, 10152, 2015, 2030, 2986, 1011, 8982, 2098, 5024, 5949, 2015, 6731, 1999, 2300, 2005, 2345, 2512, 8663, 15464, 19185, 5527, 1999, 2029, 1996, 5949, 10152, 2015, 2030, 1996, 8636, 2015, 2024, 13532, 2362, 2007, 20998, 1998, 1013, 2030, 14761, 3973, 8031, 28256, 3430, 1010, 2000, 1037, 14692, 7493, 2832, 2061, 2004, 2000, 3965, 1037, 5024, 8254, 14050, 2303, 1012, 1996, 4118, 8681, 1037, 29018, 1997, 4084, 1010, 2164, 1006, 1037, 1007, 12318, 1996, 5949, 10152, 2015, 2030, 8636, 2015, 2011, 9345, 17822, 3370, 1010, 2000, 2433, 2019, 9345, 17822, 3686, 2383, 1037, 2300, 4180, 1999, 1996, 2846, 2090, 2871, 1998, 3770, 3867, 2011, 3635, 1998, 1037, 5024, 4180, 3005, 3384, 10163, 1998, 1013, 2030, 3384, 15772, 6693, 3658, 2090, 2184, 1998, 2382, 3867, 2011, 3635, 1997, 1996, 9345, 17822, 3686, 2108, 2719, 1010, 1998, 19158, 1996, 6887, 1997, 1996, 9345, 17822, 3686, 2000, 2090, 1019, 1998, 2184, 1025, 1006, 1038, 1007, 14161, 13775, 2075, 1996, 9345, 17822, 3686, 4663, 2013, 3357, 1006, 1037, 1007, 2007, 1037, 5726, 1011, 2066, 9415, 4820, 1037, 2235, 11712, 1997, 11297, 1010, 2030, 2007, 2107, 1037, 5726, 1011, 2066, 9415, 2030, 8150, 1997, 1037, 5726, 1011, 2066, 9415, 2007, 1037, 2235, 11712, 1997, 11297, 4820, 2019, 29167, 2005, 16081, 2075, 1996, 5285, 10450, 18605, 1997, 2632, 28613, 11970, 2030, 2632, 28613, 2638, 3011, 11970, 2029, 2089, 2022, 2556, 1999, 1996, 9345, 17822, 3686, 1998, 1013, 2030, 2019, 29167, 2005, 16081, 2075, 1996, 5285, 10450, 18605, 1997, 2151, 21933, 8737, 8820, 3468, 2019, 8496, 2029, 2089, 2022, 2556, 1999, 1996, 9345, 17822, 3686, 3479, 2013, 26754, 1010, 17344, 1010, 9587, 2135, 2497, 13701, 1998, 24471, 5162, 2618, 15956, 1010, 2012, 1037, 3635, 6463, 2846, 1997, 9345, 17822, 3686, 2000, 5726, 1011, 2066, 9415, 1997, 1015, 1024, 1015, 2000, 1016, 1024, 1015, 1010, 1996, 5726, 1011, 2066, 9415, 2108, 2012, 2560, 2028, 9415, 3479, 2013, 11378, 5726, 2015, 1010, 2962, 8059, 5726, 2015, 1010, 17767, 5726, 8150, 2015, 1998, 10556, 18861, 1025, 1006, 1039, 1007, 5155, 27992, 4230, 2013, 1996, 14161, 13775, 2098, 3742, 4663, 1999, 3357, 1006, 1038, 1007, 1025, 1006, 1040, 1007, 3684, 12318, 1996, 27992, 4230, 1010, 2164, 17462, 2012, 7715, 2090, 2282, 4860, 1998, 5018, 1012, 3014, 1012, 1039, 1012, 1010, 10250, 27085, 3070, 2012, 7715, 2039, 2000, 5385, 1012, 3014, 1012, 1039, 1012, 1010, 1998, 3525, 7493, 2012, 7715, 2090, 5385, 1012, 3014, 1012, 1998, 20652, 1012, 3014, 1012, 1039, 1012, 2000, 2433, 8134, 6151, 14643, 16116, 9754, 12335, 1025, 1998, 1006, 1041, 1007, 4372, 20464, 18606, 1996, 27992, 4230, 4820, 1996, 5045, 9754, 12335, 2006, 2035, 3903, 1999, 1037, 9742, 1010, 7142, 14692, 2030, 12392, 8185, 1012, 1996, 27992, 4230, 1997, 3357, 1006, 1040, 1007, 2064, 2022, 4012, 10020, 12926, 2000, 1037, 8982, 2946, 2846, 1997, 2055, 1015, 2000, 2184, 3461, 1010, 1998, 2947, 2022, 1999, 1996, 2433, 1997, 2235, 9309, 2030, 11772, 2077, 2108, 10837, 1999, 1996, 8185, 1997, 3357, 1006, 1041, 1007, 1012, 1996, 7142, 8185, 2064, 2022, 1037, 5045, 14692, 2550, 2013, 2012, 2560, 2028, 5726, 9415, 1998, 2012, 2560, 2028, 11297, 1012, 2009, 2038, 2042, 2179, 1010, 2174, 1010, 2008, 2065, 1037, 7142, 14692, 8185, 2003, 2109, 2550, 2013, 2012, 2560, 2028, 5726, 1011, 2066, 9415, 1010, 1041, 1012, 1043, 1012, 2013, 1996, 2177, 2164, 11378, 5726, 2015, 1010, 17767, 5726, 8150, 2015, 2030, 10556, 18861, 1010, 1998, 11297, 1010, 1998, 3391, 2065, 2023, 3742, 2038, 2042, 13995, 2046, 1037, 5045, 14692, 1010, 1996, 5024, 7810, 4031, 2515, 2025, 2031, 1996, 9059, 5144, 1012, 2053, 5726, 1011, 2066, 3430, 1010, 2007, 2030, 2302, 1996, 2804, 1997, 11297, 1010, 2038, 2042, 2179, 2947, 2521, 2005, 2224, 2004, 1037, 7142, 8185, 2029, 1010, 1999, 2049, 8254, 14050, 2110, 1010, 2038, 1037, 19064, 1997, 9829, 4935, 2029, 2003, 2012, 2560, 2200, 2714, 2000, 2008, 1997, 1996, 14692, 17596, 1998, 2029, 22802, 2015, 27423, 1998, 7371, 3031, 1996, 14692, 17596, 2076, 7493, 2061, 2008, 1999, 1996, 2627, 5024, 7810, 5991, 2020, 4663, 2029, 2020, 21653, 2011, 4866, 15288, 1012, 1996, 15288, 7936, 1996, 3229, 1997, 26820, 2046, 1996, 4592, 1012, 9308, 1010, 1996, 6228, 9211, 1997, 2107, 5991, 2001, 3132, 1012, 2122, 4009, 12221, 2071, 2036, 2025, 2467, 2022, 9462, 2011, 1996, 2224, 1997, 1037, 2980, 7827, 6028, 1012, 1999, 5688, 2000, 8150, 2015, 1997, 2112, 24153, 4230, 2029, 2064, 2022, 15502, 2135, 16620, 1998, 8254, 14050, 1010, 2045, 2024, 3132, 12020, 2005, 4012, 24128, 8150, 2015, 1997, 8254, 14621, 3468, 1010, 5726, 1011, 2066, 2030, 14692, 9898, 2015, 1012, 1996, 13379, 5787, 2003, 2584, 2043, 1996, 14692, 17596, 3967, 2028, 2178, 1998, 2490, 3209, 2006, 2028, 2178, 1012, 2927, 2007, 2023, 2110, 1010, 1996, 3778, 2053, 2936, 4490, 2006, 1996, 14692, 9898, 21866, 1999, 1996, 6970, 10074, 2229, 1012, 8254, 17989, 2059, 3138, 2173, 8134, 2302, 3778, 1010, 1045, 1012, 1041, 1012, 13379, 5158, 2069, 2011, 1996, 22802, 4270, 3303, 2011, 1996, 8254, 17989, 2832, 1012, 2947, 1010, 1996, 2168, 2030, 2714, 3463, 2064, 2022, 3517, 2004, 1999, 1996, 2682, 1011, 3855, 2832, 1997, 2139, 1011, 8827, 2053, 1012, 24231, 16086, 2620, 2581, 1998, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1018, 1010, 27502, 1010, 23859, 2029, 2003, 1037, 3778, 1011, 2489, 8254, 17989, 2832, 1012, 2065, 2009, 2003, 4692, 2000, 3466, 13379, 3458, 1996, 3090, 6537, 1010, 2023, 14477, 6767, 8524, 6321, 3463, 1999, 6215, 1997, 1996, 14692, 17596, 1012, 2012, 1996, 16120, 8254, 17989, 7715, 1010, 1996, 14692, 8185, 3430, 2515, 2025, 4834, 2061, 6081, 3973, 2008, 2009, 2003, 2583, 2000, 3104, 1996, 4525, 10341, 2006, 2035, 3903, 1010, 1998, 11914, 1996, 3778, 9972, 3961, 8134, 2330, 1012, 2028, 5056, 1997, 7861, 8270, 4667, 1996, 14692, 17596, 1999, 1037, 8185, 1010, 8419, 1996, 7312, 1997, 1996, 3302, 2181, 7801, 2000, 24520, 2075, 2043, 1996, 18276, 2030, 4568, 5527, 11661, 2003, 5591, 1010, 2003, 2947, 5892, 1012, 1037, 2062, 4866, 13379, 2084, 2649, 2682, 2302, 1996, 5473, 1997, 6215, 1997, 1996, 14692, 17596, 2064, 2022, 3651, 2065, 2009, 2003, 8916, 1010, 2011, 1037, 2152, 6809, 6463, 1997, 14692, 9898, 2000, 14692, 13855, 1010, 2008, 1999, 1996, 16620, 2110, 2045, 2097, 2467, 2022, 8185, 3430, 2090, 1996, 14692, 17596, 1012, 9174, 1997, 3251, 2023, 2110, 2064, 2022, 3651, 2007, 7182, 15258, 2104, 3785, 12711, 2000, 2551, 2007, 3811, 17669, 13978, 1010, 2045, 6526, 1996, 4009, 5963, 2008, 1996, 3872, 1997, 1996, 11661, 3173, 1996, 3796, 2007, 1996, 5024, 7810, 17596, 3685, 2022, 12550, 15502, 2135, 2007, 4847, 2000, 1996, 17596, 1010, 2144, 1996, 8185, 3430, 16306, 2015, 1037, 3056, 1000, 12403, 6129, 1000, 1997, 1996, 17596, 1012, 2023, 4009, 5963, 2003, 4198, 2007, 1996, 2755, 2008, 14477, 6767, 8524, 6321, 6450, 4568, 5527, 3872, 2442, 2022, 4548, 2007, 16389, 13978, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 3522, 9849, 1999, 2784, 23895, 4083, 1006, 1054, 2140, 1007, 2031, 7645, 2049, 4022, 2000, 4553, 3375, 20478, 16924, 8518, 1012, 2174, 1010, 1054, 2140, 2145, 5942, 1996, 8957, 2000, 8145, 1037, 2312, 3815, 1997, 2613, 1011, 2088, 3325, 1012, 2000, 4769, 2023, 3291, 1010, 3522, 2573, 2031, 3818, 4083, 2013, 6739, 13616, 1006, 1048, 2546, 2094, 1007, 1010, 3391, 3081, 19262, 23895, 4083, 1006, 20868, 2140, 1007, 1010, 2445, 2049, 3754, 2000, 6162, 15873, 2836, 2007, 2069, 1037, 2235, 2193, 1997, 6739, 13616, 1012, 6600, 1010, 21296, 2075, 20868, 2140, 2006, 2613, 13507, 2003, 2145, 10368, 2349, 2000, 1996, 2312, 2193, 1997, 1008, 8957, 1008, 6322, 2009, 5942, 1012, 2023, 3259, 8704, 2000, 4769, 2023, 26743, 8553, 4119, 2007, 1037, 15873, 1010, 7099, 1011, 8114, 1010, 1998, 2236, 18804, 1011, 20868, 2140, 9896, 1010, 5490, 10179, 12190, 1010, 2008, 10438, 1037, 2047, 2021, 3141, 2146, 1011, 9154, 4708, 15873, 2135, 2445, 2069, 1037, 2309, 2678, 10467, 1012, 2034, 1010, 2023, 9896, 6879, 6494, 4523, 1996, 4083, 1997, 1037, 4708, 4372, 16044, 2099, 1998, 1037, 4708, 1011, 22442, 3343, 2478, 14260, 18856, 13369, 1006, 4647, 1007, 1012, 2009, 2059, 17427, 2613, 1011, 8957, 6322, 1998, 11826, 2229, 10377, 4083, 2011, 1008, 3495, 1008, 13400, 1037, 1053, 1011, 3853, 2013, 1996, 4117, 8957, 1998, 6739, 19817, 13006, 22471, 18909, 1012, 2279, 1010, 2023, 9896, 3594, 1996, 1053, 1011, 3853, 2000, 2128, 1011, 16157, 2035, 23260, 6322, 5067, 2011, 1996, 8957, 2000, 5335, 1996, 3343, 2855, 1012, 1999, 1996, 2203, 1010, 1996, 3343, 10438, 2062, 15873, 2135, 1006, 3938, 1003, 1009, 3112, 1007, 2084, 4647, 2006, 2047, 8518, 2096, 9034, 2053, 3979, 1011, 1998, 1011, 10697, 2012, 3231, 2051, 1012, 2633, 1010, 2256, 2613, 1011, 8957, 1998, 23599, 7885, 10580, 2256, 9896, 1521, 1055, 2236, 3012, 2408, 2367, 2110, 7258, 1010, 2895, 7258, 1010, 1998, 4432, 1011, 2241, 16924, 8518, 1010, 1041, 1012, 1043, 1012, 1010, 4060, 1011, 10364, 1011, 2173, 1998, 4060, 1011, 4287, 1011, 4530, 1012, 1005, 3166, 1024, 1011, 1005, 8945, 4819, 8814, 1010, 19004, 15990, 1010, 1062, 4819, 11837, 2290, 2002, 1010, 11113, 4048, 20512, 1010, 1998, 2848, 1047, 1012, 5297, 1031, 1034, 1015, 1033, 1005, 24751, 1024, 1011, 1005, 15368, 7875, 2099, 2615, 1012, 12170, 2497, 1005, 2516, 1024, 1005, 1008, 1008, 5490, 10179, 12190, 1024, 15873, 1998, 8114, 4083, 2013, 2678, 10467, 1997, 2146, 1011, 9154, 20478, 16924, 8518, 1008, 1008, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2057, 2004, 20781, 13507, 2000, 2468, 2236, 5130, 2040, 9878, 2047, 3375, 4813, 15873, 2135, 1998, 2855, 1012, 1996, 20478, 2291, 1010, 3251, 3740, 2030, 4342, 1010, 3791, 2000, 21155, 2049, 4493, 3716, 2000, 9611, 1037, 2047, 2021, 3141, 4708, 1999, 2019, 8114, 2664, 2152, 1011, 2836, 5450, 1012, 4283, 2000, 3522, 9849, 1999, 3698, 4083, 1998, 21934, 1011, 2000, 1011, 2613, 4651, 10595, 1010, 2460, 1011, 9154, 20478, 16924, 2107, 2004, 20854, 2038, 5301, 1999, 2836, 1012, 2174, 1010, 2116, 2613, 1011, 2088, 20478, 16924, 8518, 2024, 2146, 1011, 9154, 1010, 7578, 1010, 1998, 12990, 1999, 3872, 1012, 1999, 1996, 6438, 1997, 1037, 26743, 3468, 1998, 11778, 2126, 2000, 9570, 12504, 10058, 2005, 1037, 2312, 2193, 1997, 8518, 1010, 1996, 8957, 3791, 2000, 4553, 1037, 2047, 4708, 3495, 1999, 1996, 3558, 2088, 2013, 2069, 1037, 9210, 1997, 7012, 1010, 2349, 2000, 1996, 2152, 3465, 1997, 9334, 2613, 1011, 8957, 3979, 1011, 1998, 1011, 10697, 1998, 6322, 1012, 999, 1031, 1008, 1008, 4083, 2013, 1037, 2309, 2678, 10467, 1997, 1037, 2146, 1011, 9154, 16924, 4708, 3081, 3730, 1053, 1011, 20903, 18804, 1011, 20868, 2140, 1006, 5490, 10179, 12190, 1007, 1012, 1008, 1008, 1999, 1996, 4060, 1011, 10364, 1011, 2173, 2742, 2682, 1010, 1996, 8957, 3791, 2000, 3921, 1010, 4060, 1011, 2039, 1998, 4287, 1996, 4462, 5835, 1010, 10364, 1996, 3707, 21877, 11362, 2503, 1996, 5835, 2046, 1037, 3563, 11661, 1010, 1998, 2633, 2173, 1996, 5835, 2067, 2006, 1996, 2795, 1012, 2076, 2731, 1010, 1996, 8957, 2003, 2445, 1037, 2309, 2678, 10467, 2005, 1008, 2169, 1008, 1997, 1996, 12567, 2731, 8518, 1012, 2044, 4083, 2013, 2122, 12567, 6876, 1010, 1996, 8957, 2036, 6078, 3938, 3979, 1011, 1998, 1011, 10697, 1008, 1999, 2561, 1008, 2006, 2122, 8518, 1012, 2013, 2107, 4117, 6739, 1998, 8957, 19817, 13006, 22471, 18909, 1010, 1996, 8957, 10229, 1996, 2236, 4813, 1997, 13053, 15873, 2135, 1012, 2012, 3231, 2051, 1010, 2445, 1037, 2309, 2678, 10467, 1997, 13053, 2046, 1037, 1008, 2047, 1010, 16100, 1008, 2417, 11661, 2012, 1037, 1008, 2047, 1008, 2597, 1010, 1996, 8957, 5147, 28024, 2015, 2023, 2047, 4708, 2302, 1996, 2342, 2005, 2151, 3979, 1011, 1998, 1011, 10697, 1012, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 20965, 1024, 17174, 1000, 1065, 1033, 1006, 4481, 1013, 17174, 1012, 1052, 3070, 1007, 1063, 9381, 1027, 1000, 1015, 1032, 2240, 9148, 11927, 2232, 1000, 1065, 2057, 11949, 2008, 2613, 1011, 2088, 20478, 8066, 7654, 2064, 2468, 2062, 7099, 1011, 8114, 1999, 2195, 2590, 3971, 1012, 2034, 1010, 2057, 5060, 2008, 4286, 4553, 8518, 2855, 2011, 3666, 2500, 4685, 2714, 8518, 1012, 2426, 2116, 3596, 1997, 4708, 15066, 2107, 2004, 19054, 1010, 3125, 4871, 1010, 1998, 2653, 8128, 1010, 2529, 13616, 5009, 8993, 6464, 1998, 2064, 2599, 2000, 3278, 7099, 8122, 12154, 1012, 7297, 1010, 4083, 2013, 2678, 13616, 3903, 2618, 4523, 2192, 1011, 12697, 1037, 5372, 10377, 3853, 2005, 2296, 2047, 4708, 1012, 1999, 1996, 2553, 1997, 1037, 4432, 1011, 2241, 4708, 1010, 2678, 13616, 2036, 14057, 2135, 3073, 1996, 2168, 22138, 2110, 2686, 2005, 1996, 8957, 1012, 1999, 4083, 2013, 13616, 1006, 1048, 2546, 2094, 1007, 1010, 1996, 8957, 2323, 2022, 7099, 1011, 8114, 1999, 2048, 9646, 1516, 2009, 2323, 2224, 2004, 2261, 6739, 13616, 1006, 1523, 13616, 1524, 2182, 10354, 3334, 1007, 2004, 2825, 1998, 2202, 2004, 2261, 3979, 1011, 1998, 1011, 10697, 1006, 6078, 1007, 2004, 2825, 2006, 2049, 2219, 2000, 4553, 1037, 15873, 3343, 1012, 2426, 1048, 2546, 2094, 4725, 1010, 14260, 18856, 13369, 1006, 1523, 4647, 1524, 2182, 10354, 3334, 1007, 2003, 7099, 1011, 8114, 2021, 18002, 2000, 7328, 2075, 10697, 1012, 2182, 1010, 7328, 2075, 10697, 6523, 2000, 1996, 3291, 1999, 2029, 2296, 2051, 1037, 14260, 1011, 17598, 2094, 8957, 3084, 1037, 2235, 7561, 1010, 2009, 3084, 1037, 3469, 7561, 2091, 1996, 2346, 2004, 2009, 11852, 2015, 2185, 2013, 1996, 6739, 2110, 4353, 1012, 1999, 5688, 1010, 20868, 2140, 24251, 2015, 7328, 2075, 10697, 2011, 4352, 1996, 8957, 2000, 3046, 1996, 8518, 2041, 1999, 1996, 2613, 2088, 1998, 5468, 2049, 5248, 2114, 1996, 6739, 1012, 2174, 1010, 2349, 2000, 1996, 2342, 2000, 4553, 1037, 10377, 3853, 1010, 20868, 2140, 2064, 5478, 2116, 3979, 1011, 1998, 1011, 10697, 1999, 1996, 2613, 2088, 1010, 2096, 4647, 2515, 2025, 5478, 2107, 8957, 6322, 1012, 2057, 13433, 28032, 2008, 15929, 16594, 2125, 1011, 3343, 6322, 1997, 3979, 1011, 1998, 1011, 10697, 2003, 6827, 2000, 2437, 20868, 2140, 7099, 1011, 8114, 2438, 2005, 2613, 13507, 1012, 2182, 1010, 1523, 2125, 1011, 3343, 6322, 1524, 6523, 2000, 1996, 1008, 23260, 1008, 6322, 2008, 1996, 1008, 8957, 1008, 2038, 5067, 2947, 2521, 2076, 1008, 2731, 1008, 1012, 1999, 5688, 1010, 1523, 2006, 1011, 3343, 6322, 1524, 2024, 1996, 2087, 3522, 6322, 2008, 1996, 8957, 2038, 5067, 2478, 2049, 1008, 2783, 1008, 3343, 1012, 4286, 21155, 13506, 1010, 23260, 6322, 2000, 4553, 2855, 2012, 2556, 1012, 2057, 4372, 17084, 13507, 2000, 9878, 2047, 4813, 2062, 2855, 2011, 4083, 2013, 2125, 1011, 3343, 1006, 1045, 1012, 1041, 1012, 1010, 23260, 1007, 6322, 1012, 2633, 1010, 2116, 2613, 1011, 2088, 8518, 2024, 3141, 1998, 3745, 5090, 1998, 3716, 2008, 2064, 2022, 18516, 2000, 9611, 1037, 2047, 2021, 2714, 4708, 2101, 1012, 2005, 2742, 1010, 4286, 2064, 2855, 4553, 2000, 4060, 1998, 2173, 1037, 2047, 4874, 2044, 4083, 2000, 4060, 1998, 2173, 2116, 2124, 5200, 1012, 18804, 1011, 4083, 1010, 12045, 16911, 2023, 3200, 1010, 8704, 2000, 4553, 1037, 2047, 2021, 3141, 4708, 2855, 2065, 2009, 2038, 2525, 4342, 2195, 2714, 8518, 1999, 1996, 2627, 1012, 2007, 2122, 14354, 2015, 1010, 2057, 8970, 5490, 10179, 12190, 1010, 1037, 18804, 1011, 20868, 2140, 9896, 2008, 10229, 2146, 1011, 9154, 8518, 2855, 1998, 15873, 2135, 2011, 4083, 2013, 1015, 1007, 2678, 13616, 1010, 1016, 1007, 2125, 1011, 3343, 8957, 6322, 1010, 1998, 1017, 1007, 1037, 2275, 1997, 3141, 8518, 1012, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 7607, 2023, 9896, 2478, 1996, 2742, 1997, 1037, 2275, 1997, 2146, 1011, 9154, 4060, 1011, 10364, 1011, 2173, 8518, 1010, 2478, 1996, 24471, 2629, 1011, 6534, 1031, 1034, 1016, 1033, 8957, 16437, 3491, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 8051, 1032, 1033, 1012, 1999, 2023, 4708, 1010, 2057, 2031, 1996, 16143, 1006, 2665, 1010, 3756, 1010, 4589, 1010, 1998, 2417, 1007, 1010, 1037, 18797, 5835, 1006, 4462, 1007, 1010, 1998, 2019, 3707, 21877, 11362, 2503, 1996, 5835, 1012, 1996, 8957, 3791, 2000, 1008, 2034, 3921, 1008, 1998, 4060, 1011, 2039, 1996, 4462, 5835, 1010, 10364, 1996, 3707, 21877, 11362, 2503, 1996, 5835, 2046, 1037, 3563, 11661, 2006, 1996, 2795, 1010, 1998, 2059, 2633, 2173, 1996, 5835, 2067, 2006, 1996, 2795, 1010, 2004, 3491, 1999, 2169, 5216, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 2012, 1996, 2927, 1997, 2169, 4708, 1010, 1996, 5835, 2003, 1008, 2025, 2664, 1008, 1999, 2192, 1010, 2021, 1996, 3707, 21877, 11362, 2003, 2525, 1999, 1996, 5835, 1012, 2012, 2731, 2051, 1010, 1996, 8957, 2003, 2445, 1037, 2309, 2678, 10467, 2005, 2169, 1997, 1996, 12567, 4060, 1011, 10364, 1011, 2173, 8518, 1010, 2004, 3491, 1999, 1996, 2034, 2048, 10281, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 2296, 2047, 5257, 1997, 11661, 4460, 5836, 1037, 2367, 4060, 1011, 10364, 1011, 2173, 4708, 1012, 7297, 1010, 1996, 8957, 2069, 3791, 2000, 10364, 2046, 1008, 2028, 1008, 1997, 1996, 16143, 1999, 1037, 2309, 4708, 1012, 3568, 1010, 13053, 2046, 2367, 16143, 2036, 5836, 2367, 8518, 1012, 2044, 4083, 2013, 2122, 12567, 13616, 1010, 1996, 8957, 2036, 6078, 3938, 3979, 1011, 1998, 1011, 10697, 2006, 2122, 8518, 1008, 1999, 2561, 1008, 1012, 2013, 2107, 1037, 5257, 1997, 6739, 1998, 8957, 19817, 13006, 22471, 18909, 1010, 1996, 8957, 10229, 1996, 2236, 4813, 1997, 4060, 1011, 10364, 1011, 2173, 15873, 2135, 1012, 1999, 2035, 12567, 2731, 8518, 1010, 2069, 1008, 2048, 1008, 1997, 1996, 2176, 16143, 3711, 2006, 1996, 2795, 1024, 1996, 2665, 1998, 3756, 16143, 1010, 2004, 3491, 1999, 1996, 2034, 2048, 10281, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 1996, 4589, 1998, 2417, 16143, 2024, 12421, 2076, 2731, 1998, 2069, 3711, 2012, 3231, 2051, 1010, 2004, 3491, 1999, 1996, 2197, 5216, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 2057, 2079, 2061, 2000, 16157, 2256, 9896, 1521, 1055, 2236, 21335, 8553, 2000, 16100, 16143, 1008, 2012, 3231, 2051, 1008, 1012, 2004, 3491, 1999, 1996, 2197, 5216, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1010, 1996, 8957, 5147, 10364, 2015, 2046, 1037, 1008, 2047, 1008, 11661, 1006, 2417, 1007, 2012, 3231, 2051, 1010, 2012, 1037, 1008, 2047, 1008, 2597, 2196, 2464, 2077, 2076, 2731, 1010, 2302, 1996, 2342, 2005, 2151, 7012, 2030, 6078, 1012, 2000, 6162, 2107, 3435, 2236, 3989, 2000, 2047, 8518, 1010, 2256, 9896, 10229, 1037, 4708, 4372, 16044, 2099, 2897, 1998, 1037, 4708, 1011, 22442, 3343, 1012, 1996, 4708, 4372, 16044, 2099, 19421, 1037, 3590, 1011, 8789, 4708, 7861, 8270, 4667, 9207, 2008, 4372, 23237, 4708, 1011, 3563, 2592, 1012, 1996, 3343, 2897, 2059, 10229, 2000, 2236, 4697, 2000, 2047, 8518, 2011, 10564, 2023, 4708, 7861, 8270, 4667, 9207, 2004, 7953, 1010, 2947, 3352, 1523, 4708, 1011, 22442, 1524, 1012, 2076, 2731, 1010, 2256, 9896, 2034, 6879, 6494, 4523, 4083, 2011, 2731, 2119, 1996, 4708, 4372, 16044, 2099, 1998, 1996, 3343, 10776, 3081, 1996, 4647, 3279, 1012, 1996, 8957, 2059, 17427, 2184, 7012, 2408, 2184, 8518, 2478, 1996, 17336, 1011, 2039, 3343, 1998, 1996, 4708, 4372, 16044, 2099, 1012, 2279, 1010, 2478, 1996, 4117, 6322, 1997, 1996, 6739, 1998, 1996, 8957, 1010, 2256, 9896, 11826, 2229, 10377, 4083, 2011, 3495, 4083, 1037, 4708, 1011, 22442, 1053, 1011, 3853, 1012, 2478, 2023, 1053, 1011, 3853, 1010, 2256, 9896, 2059, 2128, 25581, 1998, 2128, 1011, 16157, 2015, 2035, 23260, 6322, 1997, 1996, 8957, 2000, 5335, 1996, 3343, 2855, 1012, 2023, 5402, 17993, 2127, 1996, 1002, 3938 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2466, 11637, 2317, 2160, 17612, 2015, 1997, 9751, 2021, 2049, 11542, 10960, 9002, 2000, 2175, 2361, 3715, 10643, 2031, 25174, 2094, 2037, 4447, 1997, 15709, 2008, 8037, 2655, 1037, 6965, 5690, 2825, 4883, 5347, 1005, 6624, 3084, 2355, 13989, 2075, 1037, 5387, 2280, 9915, 2472, 2758, 2045, 2003, 2145, 1037, 3768, 1997, 15563, 2006, 2054, 5221, 3036, 10876, 2229, 2020, 3053, 1037, 2095, 2101, 1010, 3841, 5603, 16103, 3464, 1037, 5956, 8400, 1999, 2899, 2005, 2048, 2200, 2367, 4436, 1024, 27427, 27235, 3619, 7028, 3653, 1011, 2886, 3343, 6567, 1998, 27149, 2695, 1011, 2886, 4331, 1012, 1996, 8112, 2317, 2160, 1010, 2013, 1996, 2343, 2006, 2091, 1010, 17612, 2015, 1997, 1000, 6887, 16585, 1000, 3951, 1011, 2419, 7740, 9751, 1012, 2664, 1996, 3447, 1005, 1055, 2219, 11542, 1010, 1998, 2012, 2335, 24949, 1010, 10960, 2000, 7740, 27050, 2031, 5201, 2000, 1996, 2175, 2361, 3715, 2008, 1996, 3447, 1010, 2012, 1037, 6263, 1010, 2038, 2042, 2625, 2084, 13338, 1012, 1000, 2057, 2342, 2000, 2131, 2000, 1996, 3953, 1997, 2054, 3047, 2008, 6659, 2305, 1010, 2339, 2009, 3047, 1010, 1998, 2129, 2057, 2064, 4652, 2714, 19817, 18655, 3111, 1999, 1996, 2925, 1010, 1000, 2160, 5882, 2198, 8945, 11106, 3678, 2056, 2197, 2733, 1999, 3529, 5060, 1996, 2160, 3841, 5603, 16103, 9751, 2052, 3613, 2046, 1996, 2991, 1010, 1998, 2421, 2047, 4942, 6873, 26474, 2005, 5491, 1998, 10896, 2065, 4072, 1012, 2045, 2024, 11476, 3980, 2055, 2339, 5567, 1998, 3563, 16234, 2055, 1996, 3841, 5603, 16103, 3036, 3663, 2020, 2104, 10175, 5657, 2094, 2030, 6439, 1012, 2119, 2375, 12088, 1998, 4454, 8390, 2391, 2000, 2023, 5353, 1005, 1055, 15741, 4400, 1997, 2690, 2264, 1998, 3088, 8408, 5494, 2015, 2004, 1010, 2012, 2560, 1999, 2112, 1010, 1037, 10800, 4342, 2013, 1996, 2244, 2340, 1010, 2262, 1010, 2886, 2008, 2730, 6059, 3782, 8799, 1998, 2093, 2060, 4841, 1012, 10643, 1010, 2174, 1010, 2031, 2012, 2335, 25174, 2094, 2037, 2219, 4366, 2000, 2022, 4699, 2069, 1999, 11476, 7740, 15709, 1010, 2025, 2054, 8037, 2411, 3830, 1037, 14254, 6965, 1011, 5690, 1012, 8945, 11106, 3678, 1010, 2005, 2742, 1010, 2038, 2012, 2335, 9139, 9720, 2375, 12088, 2877, 1996, 9751, 2000, 3579, 2006, 2054, 1996, 3350, 3065, 1011, 1011, 1998, 2025, 2292, 2037, 14254, 16160, 3499, 2037, 2270, 17871, 2000, 2131, 2041, 3805, 1997, 1996, 8866, 1012, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 17857, 2275, 1996, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1010, 12917, 1010, 2006, 2543, 2006, 2244, 2340, 1010, 2262, 1012, 1996, 1057, 1012, 1055, 1012, 6059, 2000, 12917, 1010, 5696, 8799, 1010, 1998, 2093, 2060, 1057, 1012, 1055, 1012, 10342, 2020, 2730, 2076, 1996, 2886, 1012, 1996, 8112, 3447, 3322, 2245, 1996, 2886, 2001, 3344, 2041, 2011, 2019, 4854, 11240, 14120, 2000, 1037, 2678, 1010, 2081, 1999, 1996, 2142, 2163, 1010, 2008, 24195, 7025, 1998, 1996, 12168, 12619, 1012, 2021, 1996, 4040, 2075, 1997, 1996, 3260, 2001, 2101, 4340, 2000, 2031, 2042, 1037, 9452, 2886, 1012, 5342, 14408, 3258, 1015, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 8112, 1998, 7207, 3233, 2012, 9261, 2250, 2486, 2918, 2004, 1996, 4230, 1997, 1996, 2176, 4841, 2730, 2024, 2513, 2006, 2244, 2403, 1012, 5342, 14408, 3258, 1016, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4624, 7719, 2503, 1996, 11060, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2410, 1010, 2048, 2420, 2044, 1996, 2886, 1012, 5342, 14408, 3258, 1017, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 4053, 2003, 2464, 2503, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2410, 1012, 5342, 14408, 3258, 1018, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 11549, 3242, 1998, 12977, 14257, 1999, 1996, 5742, 4770, 1997, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2410, 1012, 5342, 14408, 3258, 1019, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 28337, 8587, 1999, 12917, 2006, 2244, 2260, 2000, 28887, 1996, 15978, 1998, 2376, 2490, 2005, 1996, 5694, 1012, 5342, 14408, 3258, 1020, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1057, 1012, 1055, 1012, 2343, 13857, 8112, 1010, 2007, 3187, 1997, 2110, 18520, 7207, 2006, 2244, 2260, 1010, 3084, 1037, 4861, 2012, 1996, 2317, 2160, 2055, 8799, 1005, 2331, 1012, 5342, 14408, 3258, 1021, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 11060, 4316, 2003, 2464, 2012, 1996, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 1022, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2111, 22459, 1996, 4053, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 1023, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 2235, 2137, 5210, 2003, 2464, 1999, 1996, 17538, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2184, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 2158, 4832, 1999, 2112, 1997, 1037, 5296, 1011, 2041, 2311, 1997, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2340, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 5610, 1998, 2543, 4053, 2003, 10358, 2503, 1037, 2311, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2260, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2431, 1011, 11060, 11385, 1998, 6683, 3104, 1996, 2723, 1997, 2028, 1997, 1996, 1057, 1012, 1055, 1012, 3260, 3121, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2410, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1996, 1057, 1012, 1055, 1012, 3260, 2003, 2464, 1999, 7311, 2006, 2244, 2340, 1010, 1996, 2154, 1997, 1996, 2886, 1012, 5342, 14408, 3258, 2403, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 6186, 2121, 27325, 2004, 1996, 1057, 1012, 1055, 1012, 3260, 7641, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2321, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4316, 1998, 1996, 4193, 2181, 2024, 24692, 1999, 7311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2385, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 7311, 9413, 29441, 2648, 1997, 1037, 2311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2459, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4316, 7641, 2076, 1996, 2886, 2006, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2324, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2006, 4135, 11045, 2869, 2501, 1996, 4053, 2013, 1996, 2886, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2539, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2006, 4135, 11045, 2869, 3328, 2627, 1037, 5255, 4744, 1998, 2311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2322, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4316, 7719, 15488, 11614, 7999, 1999, 7311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2538, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2111, 9457, 7311, 2648, 1037, 2311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2570, 1997, 2570, 2074, 3427, 2054, 2003, 1996, 3606, 2055, 3841, 5603, 16103, 1029, 15712, 2062, 6876, 1012, 1012, 1012, 2442, 3422, 2054, 2003, 1996, 3606, 2055, 3841, 5603, 16103, 1029, 5890, 1024, 4724, 2074, 3427, 1996, 9915, 1005, 1055, 3595, 3739, 1999, 3841, 5603, 16103, 15712, 2062, 6876, 1012, 1012, 1012, 2442, 3422, 1996, 9915, 1005, 1055, 3595, 3739, 1999, 3841, 5603, 16103, 5709, 1024, 2654, 2074, 3427, 3841, 5603, 16103, 7409, 1024, 2053, 2028, 8781, 2033, 15712, 2062, 6876, 1012, 1012, 1012, 2442, 3422, 3841, 5603, 16103, 7409, 1024, 2053, 2028, 8781, 2033, 6021, 1024, 4466, 2036, 2104, 25300, 3070, 1996, 2175, 2361, 3947, 1024, 4636, 1011, 6274, 1041, 1011, 5653, 2015, 1998, 6876, 2013, 3951, 1998, 4603, 2967, 27644, 1037, 3841, 5603, 16103, 3104, 2039, 23339, 2011, 2343, 13857, 8112, 1998, 2059, 1011, 3187, 1997, 2110, 18520, 7207, 1012, 1000, 2017, 1005, 2310, 2288, 1037, 2200, 9398, 2391, 1010, 1000, 16360, 1012, 23158, 26354, 2050, 1010, 3472, 1997, 1996, 2837, 2877, 1996, 2160, 3841, 5603, 16103, 3319, 2409, 13229, 1999, 2019, 4357, 2005, 1000, 1996, 3606, 2055, 3841, 5603, 16103, 1010, 1000, 1037, 2028, 1011, 3178, 2565, 2559, 2012, 1996, 2886, 1998, 2012, 1996, 15304, 3343, 1998, 2576, 3980, 1012, 1000, 1045, 2052, 9544, 2008, 4636, 1011, 6274, 2011, 2648, 2967, 2994, 2185, 2013, 1996, 2524, 2147, 1997, 3519, 1012, 1000, 2021, 2009, 3475, 1005, 1056, 2183, 2000, 4148, 1012, 1000, 2220, 2355, 13989, 2075, 2036, 5876, 2046, 1996, 4331, 1012, 5612, 2175, 2361, 12411, 1012, 14566, 2703, 2758, 7207, 2003, 3625, 2005, 1996, 4942, 1011, 11968, 3036, 1999, 3841, 5603, 16103, 2130, 2065, 1010, 2004, 2016, 2758, 1010, 1996, 5460, 1997, 16234, 1998, 11186, 2005, 2062, 5073, 2196, 2584, 2014, 4624, 1012, 1000, 2008, 1005, 1055, 10785, 2014, 12731, 14277, 8010, 1010, 1000, 2703, 2409, 13229, 1012, 1000, 2043, 2017, 2599, 1996, 2110, 2533, 1010, 6567, 1999, 2028, 1997, 1996, 2087, 4795, 3032, 1999, 1996, 2088, 2323, 4125, 2000, 2115, 2504, 1012, 2008, 1005, 1055, 2115, 3105, 2000, 2191, 2469, 2216, 7696, 2131, 2000, 2017, 1012, 1000, 2175, 2361, 2358, 11657, 24063, 22435, 14017, 7315, 5143, 19821, 1996, 2175, 2361, 3947, 2000, 2224, 3841, 5603, 16103, 2000, 16985, 24014, 7207, 1005, 1055, 3746, 1010, 2021, 5577, 2014, 2004, 1996, 2087, 1000, 18085, 1000, 3537, 2355, 3246, 1998, 9909, 1010, 1000, 1045, 2123, 1005, 1056, 2113, 2008, 3841, 5603, 16103, 2894, 2052, 7752, 1037, 7207, 17057, 2005, 2343, 1012, 1000, 1998, 2065, 1996, 4491, 2085, 2024, 5064, 2881, 2000, 28085, 7207, 2013, 2770, 1010, 8003, 3537, 2358, 11657, 24063, 1998, 7207, 9698, 2703, 11693, 7911, 6083, 2019, 4500, 4668, 1012, 1000, 2016, 1005, 1055, 2196, 2042, 1037, 2711, 2000, 2067, 2000, 2091, 2000, 1037, 20716, 1010, 1000, 11693, 7911, 2056, 1999, 2019, 4357, 1012, 1000, 18520, 2003, 1996, 2828, 1997, 2711, 2000, 2022, 12774, 2011, 2008, 1012, 2000, 3233, 2039, 1998, 2954, 2067 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 23609, 1052, 1012, 14134, 20335, 1006, 3261, 1007, 1999, 1996, 3043, 1997, 1037, 1012, 1046, 1012, 1055, 1012, 3360, 1999, 2342, 1997, 2729, 1012, 2053, 1012, 3770, 1011, 4466, 2509, 1012, 4259, 2457, 1997, 8124, 1012, 7864, 2006, 28760, 2258, 1022, 1010, 3261, 1012, 2787, 2238, 2459, 1010, 3261, 1012, 2128, 26560, 2075, 6380, 2251, 2459, 1010, 3261, 1012, 1008, 20741, 3557, 2375, 3813, 1010, 26124, 1010, 2005, 10439, 24178, 1012, 7157, 1042, 1012, 7003, 2121, 1010, 2221, 2012, 3723, 1012, 1010, 18997, 1010, 24189, 1004, 25957, 15361, 1010, 26124, 1010, 2005, 6869, 4765, 1012, 2016, 11106, 2100, 1010, 3425, 1012, 16233, 1010, 2388, 1997, 19128, 2015, 1010, 9023, 2013, 2019, 2344, 1997, 1996, 14725, 8268, 2212, 2457, 1010, 29231, 2221, 1010, 13752, 19128, 2015, 2019, 16999, 1998, 15486, 2775, 1998, 21467, 4568, 9968, 1997, 19128, 2015, 2000, 1996, 2533, 1997, 2591, 1998, 11252, 2578, 1006, 5034, 2015, 1007, 1012, 2057, 21358, 27972, 1012, 1008, 20636, 10439, 24178, 13275, 2122, 3314, 1024, 1015, 1012, 2001, 1996, 3350, 7182, 2000, 2490, 1996, 4531, 2008, 19128, 2015, 2003, 1037, 3360, 1999, 2342, 1997, 2729, 1029, 1016, 1012, 2003, 1996, 10896, 1997, 1037, 15034, 4745, 2000, 1037, 2457, 1011, 3641, 8317, 9312, 10482, 6024, 1997, 1996, 15034, 1011, 7396, 14293, 1029, 1017, 1012, 2106, 1996, 9634, 1997, 25428, 1005, 10896, 4525, 2013, 1037, 2457, 1011, 3641, 8317, 9312, 23640, 16233, 1005, 1055, 6543, 2157, 1997, 9394, 1029, 1018, 1012, 2515, 1996, 8536, 1999, 1996, 4748, 9103, 25027, 1997, 2023, 3043, 26785, 7971, 17570, 23163, 1029, 19128, 2015, 2001, 2141, 2006, 2285, 2385, 1010, 3699, 1010, 10597, 2128, 7559, 5732, 1010, 4298, 8740, 16774, 2594, 1998, 2007, 4958, 9463, 18075, 1010, 7356, 2011, 2119, 2882, 1998, 17268, 15451, 25750, 1012, 16233, 1998, 9808, 2024, 1996, 3019, 3008, 1997, 1996, 3360, 1012, 9808, 4704, 1996, 2155, 1999, 3476, 1998, 2038, 2018, 2053, 3967, 2007, 1996, 2155, 2144, 1012, 16233, 2001, 3525, 2496, 2000, 1037, 2158, 3183, 2016, 9196, 2044, 13648, 1996, 3129, 12581, 8273, 7741, 19128, 2015, 1012, 2012, 1996, 2051, 19128, 2015, 2001, 3718, 2013, 1996, 2155, 2188, 1010, 16233, 2001, 2542, 2007, 1037, 2158, 2340, 2086, 2014, 3502, 1010, 1999, 3005, 2729, 19128, 2015, 4703, 2001, 18011, 1012, 19128, 2015, 2034, 2211, 5270, 1999, 2569, 2495, 4280, 2012, 20170, 2082, 1999, 3285, 1010, 1998, 2038, 3230, 10843, 2144, 2008, 2051, 1012, 2750, 2014, 2086, 1997, 2495, 1010, 19128, 2015, 2003, 2025, 11848, 4738, 1010, 2038, 2200, 2210, 4613, 1998, 2003, 2641, 2512, 6299, 10264, 1012, 2016, 4972, 2012, 3155, 1037, 2048, 1011, 2095, 1011, 2214, 13908, 2504, 1012, 16233, 2992, 1998, 8725, 2005, 19128, 2015, 2302, 11099, 2011, 1996, 4614, 2127, 2397, 3299, 1012, 2012, 2008, 2051, 1010, 16233, 2872, 2841, 1999, 1037, 2416, 1011, 2733, 4319, 11252, 2565, 2000, 9462, 2014, 4376, 1011, 2095, 18642, 2006, 18243, 17789, 1998, 5622, 23736, 2819, 1998, 2187, 19128, 2015, 1999, 1996, 2729, 1997, 1037, 6469, 2188, 1012, 2076, 2023, 2558, 1010, 19128, 2015, 1005, 1055, 3311, 1998, 4550, 20942, 5301, 12099, 1010, 2014, 2988, 18634, 4023, 26588, 1998, 2014, 9823, 7729, 1998, 26794, 18679, 5301, 1012, 2035, 2122, 3785, 20111, 2043, 19128, 2015, 2513, 2000, 2014, 2388, 1005, 1055, 4398, 1012, 2082, 4584, 1998, 5034, 2015, 5073, 2018, 2013, 1996, 26674, 2042, 4986, 2055, 1996, 5490, 8787, 3593, 4650, 1997, 16233, 1005, 1055, 4398, 1012, 1996, 2188, 2001, 10862, 18294, 1010, 18856, 23128, 1010, 4703, 2018, 4111, 4654, 16748, 9285, 7932, 2055, 1010, 1998, 2018, 2019, 19255, 2029, 19029, 3064, 5731, 2000, 1996, 2391, 2008, 2009, 2001, 3697, 2005, 1996, 14477, 27631, 20389, 2098, 2000, 3961, 1999, 1996, 2188, 1012, 16233, 3039, 1996, 2160, 2000, 2022, 2109, 2004, 1037, 28583, 1011, 2160, 2011, 2814, 1997, 2014, 2060, 2336, 1012, 2122, 3785, 19914, 2119, 2077, 1998, 2044, 1996, 3299, 4319, 11252, 1012, 2096, 1999, 1996, 2729, 1997, 2014, 2388, 1010, 1996, 2110, 1997, 19128, 2015, 1005, 1055, 4550, 20942, 1998, 3167, 19548, 2018, 2042, 12893, 2075, 2000, 2082, 1998, 5034, 2015, 5073, 2013, 1996, 2051, 2014, 14118, 8420, 1012, 2016, 4703, 2234, 2000, 2082, 2007, 2303, 19255, 2061, 11806, 2016, 2001, 3697, 2000, 3921, 4876, 1010, 2014, 2606, 2001, 2411, 26484, 1998, 4717, 2098, 2007, 2833, 1010, 1998, 2016, 4703, 6913, 2829, 6887, 23115, 2213, 1006, 4593, 1037, 2217, 1011, 3466, 1997, 29454, 4630, 2378, 1010, 2014, 3424, 8663, 19722, 4877, 4630, 1007, 5689, 2013, 2014, 4091, 1012, 19128, 2015, 5681, 3369, 2012, 2082, 4895, 25031, 1010, 1998, 2411, 7771, 2083, 2312, 8810, 1997, 1996, 2082, 2154, 1012, 16233, 2823, 9426, 19128, 2015, 1005, 1055, 29454, 4630, 2378, 9998, 13923, 2429, 2000, 1996, 12335, 1997, 1996, 4231, 1012, 2927, 1999, 3299, 1010, 2082, 4584, 2036, 2211, 14158, 2019, 5866, 2193, 1997, 18438, 2006, 19128, 2015, 1012, 2014, 3836, 1998, 1996, 2082, 6821, 2169, 4384, 1010, 2006, 3365, 6642, 1010, 4344, 27373, 2006, 1996, 5110, 7814, 1997, 19128, 2015, 1005, 1055, 3356, 9222, 1998, 18438, 2006, 2119, 4065, 1012, 2043, 10861, 11998, 2055, 1996, 2536, 18438, 1010, 16233, 4050, 7219, 2068, 2004, 4525, 2013, 4212, 2076, 25750, 1006, 2348, 5089, 2018, 5159, 2008, 19128, 2015, 2354, 2043, 1037, 18634, 2001, 2012, 2192, 1998, 2052, 4047, 2841, 2011, 4688, 2006, 1037, 2793, 3188, 2000, 14447, 1997, 1996, 18634, 1007, 1012, 1999, 3245, 1010, 7987, 28580, 1998, 6441, 2000, 19128, 2015, 3473, 21040, 2062, 8793, 1998, 6976, 1012, 2006, 2254, 2484, 1010, 19128, 2015, 3369, 2012, 2082, 2007, 1037, 2312, 24851, 8402, 2013, 2014, 2157, 3244, 2000, 2014, 8999, 1010, 2007, 1037, 2146, 11969, 2091, 1996, 2415, 1012, 2006, 2254, 2656, 1010, 19128, 2015, 2018, 2195, 2312, 1010, 2601, 1010, 9039, 1011, 2828, 18438, 3373, 2011, 1996, 6821, 2000, 2022, 4344, 27373, 2006, 1996, 5110, 8810, 1997, 2169, 10120, 1012, 2006, 2337, 2403, 1010, 19128, 2015, 6913, 2235, 18438, 2006, 2014, 6029, 1998, 4451, 1010, 1998, 1037, 2992, 4408, 2417, 23438, 2058, 1996, 2972, 3356, 4664, 1997, 2014, 2067, 1010, 2007, 2235, 11113, 8180, 8496, 1999, 1996, 1008, 10545, 2415, 1997, 1996, 23438, 1012, 2006, 2337, 2539, 1010, 2016, 2018, 2416, 2312, 1010, 2784, 25980, 1010, 2169, 2055, 2093, 5282, 2146, 1010, 2006, 2014, 2187, 5048, 1012, 2006, 2337, 2656, 1010, 1037, 2591, 7309, 5873, 1996, 2188, 1010, 4384, 2048, 2304, 2159, 2006, 19128, 2015, 1012, 2633, 1010, 2006, 2337, 2654, 1010, 1996, 2591, 7309, 1998, 2082, 6821, 4716, 1996, 2188, 1998, 5159, 1037, 2117, 1011, 2000, 1011, 2353, 1011, 3014, 6402, 3155, 2702, 18119, 2146, 2006, 2014, 2187, 3244, 1012, 2016, 2036, 2018, 1037, 24851, 2105, 2014, 2187, 3239, 2408, 1996, 2958, 1997, 2014, 4451, 1010, 2235, 18438, 2006, 2014, 3054, 8376, 2102, 1010, 1037, 2235, 11969, 2006, 2014, 3356, 13878, 1010, 1998, 1037, 2235, 24851, 2006, 2014, 2157, 2392, 20092, 2181, 1012, 19128, 2015, 2001, 3718, 2013, 1996, 2188, 1996, 2206, 2154, 1010, 2233, 1015, 1010, 3245, 1012, 2206, 2014, 8208, 1010, 19128, 2015, 2001, 2872, 1999, 1037, 6469, 2188, 2005, 2028, 3204, 1010, 2059, 4015, 2000, 1037, 2569, 2731, 2005, 11813, 2111, 1006, 3357, 1007, 2177, 2188, 1012, 2076, 1996, 2558, 2206, 2014, 8208, 1010, 2014, 3311, 1998, 3167, 19548, 2153, 5301, 1010, 2014, 2082, 5270, 5301, 29295, 1010, 1998, 2016, 2001, 2062, 9499, 2096, 2012, 2082, 1012, 2045, 2001, 2036, 10896, 2008, 2014, 2988, 18634, 4023, 26588, 1998, 2014, 2836, 1999, 2082, 5301, 1012, 5034, 2015, 6406, 2049, 9964, 23294, 19128, 2015, 2001, 1037, 3360, 1999, 2342, 1997, 2729, 2006, 2238, 2756, 1010, 3245, 1012, 1996, 3426, 2001, 2657, 2011, 1996, 2212, 2457, 2012, 3674, 19153, 2218, 2006, 2244, 1020, 1010, 3245, 1025, 2285, 1020, 1010, 3245, 1025, 2258, 1017, 1010, 3150, 1998, 2238, 1017, 1010, 3150, 1012, 1996, 2212, 2457, 3133, 2049, 9556, 1010, 15306, 1998, 2344, 2006, 2255, 2861, 1010, 3150, 1012, 5034, 2015, 3591, 2004, 9390, 1010, 2082, 4584, 1010, 11500, 1998, 5034, 2015, 5073, 2040, 14914, 2000, 12381, 1996, 8866, 2179, 2011, 1996, 2457, 1998, 3141, 2682, 1012, 3176, 10896, 2001, 2445, 2011, 2852, 1012, 18446, 26903, 10354, 3385, 1010, 1037, 6612, 15034, 1010, 2040, 4146, 1037, 2457, 1011, 3641, 8317, 7749, 1997, 16233, 1012, 2852, 1012, 26903, 10354, 3385, 2864, 2019, 4866, 8317, 4357, 1997, 16233, 1998, 8564, 2195, 6851, 5852, 1010, 2013, 2029, 2002, 5531, 16233, 2038, 2070, 7554, 4167, 4053, 2004, 2092, 2004, 1037, 6180, 8761, 12061, 1000, 14710, 6180, 1012, 1000, 2002, 4081, 2122, 3785, 6551, 15115, 2007, 16233, 1005, 1055, 28586, 3754, 1010, 1998, 5228, 2010, 5448, 2008, 16233, 2003, 4039, 2000, 3066, 23613, 2007, 1998, 2729, 2005, 19128, 2015, 2058, 1996, 2146, 2744, 1012, 2256, 3853, 1999, 15252, 24394, 1998, 19046, 3572, 2038, 2042, 2092, 4225, 1999, 1037, 2193, 1997, 3025, 6567, 1012, 3043, 1997, 1048, 2546, 2290, 1006, 3245, 1007, 1010, 18318, 1012, 1010, 5354, 2620, 1052, 1012, 14134, 11176, 2629, 1010, 4029, 2358, 1012, 16360, 1012, 16666, 2581, 1025, 1999, 2128, 13638, 1006, 3355, 1007, 1010, 19492, 18318, 1012, 24030, 1010, 24902, 1052, 1012, 14134, 11118, 2692, 1012, 1999, 13638, 1010, 2057, 3090, 1024, 1000, 2023, 2457, 2003, 2568, 3993, 2008, 1996, 3078, 4611, 1997, 10561, 1996, 5372, 9968, 1997, 2336, 2003, 1996, 4708, 1997, 1996, 2212, 2457, 1012, 2004, 1037, 2765, 1010, 2035, 9608, 3653, 17421, 16790, 2015, 2004, 2000, 1996, 6149, 2791, 1997, 1996, 9128, 2011, 1996, 2212, 2457, 2097, 2022, 2081, 1012, 1031, 11091, 16647, 1012, 1033, 2349, 2000, 2023, 3653, 17421, 16790, 1997, 6149, 2791, 1010, 1996, 2212, 2457, 1005, 1055, 9556, 2097, 2025, 2022, 12491, 2006, 5574, 4983, 2045, 2003, 1037, 6707, 1997, 2375, 2030, 1037, 4531, 1997, 2755, 2025, 3569, 2011, 23411, 3350, 2008, 2052, 3815, 2000, 1037, 3154, 6905, 1997, 19258, 1012, 1006, 11091, 16647, 1012, 1007, 1000, 19492, 18318, 1012, 2012, 19652, 1010, 24902, 1052, 1012, 14134, 2012, 11118, 2475, 1012, 2057, 2031, 3525, 2218, 1999, 3043, 1997, 1046, 20850, 1006, 3245, 1007, 1010, 18318, 1012, 1010, 5354, 2549, 1052, 1012, 14134, 11176, 2581, 1010, 4029, 2358, 1012, 16360, 1012, 6486, 2575, 1010, 2008, 1996, 2457, 1005, 1055, 9556, 2442, 2022, 3569, 2011, 3154, 1998, 13359, 3350, 1012, 2008, 10859, 2038, 2042, 8760, 2182, 1012, 16233, 4491, 1996, 10514, 26989, 29125, 1997, 1996, 3350, 2006, 1037, 2193, 1997, 7888, 1012, 2174, 1010, 2057, 2424, 3154, 1998, 13359, 3350, 1997, 16655, 2595, 24759, 18175, 2094, 3558, 6441, 1998, 14710, 5142, 2005, 1996, 4550, 20942, 1998, 19548, 1997, 19128, 2015, 2000, 2490, 1996, 2457, 1005, 1055, 9556, 1012, 2057, 3568, 4769, 2069, 2216, 2752, 1012, 1037, 2193, 1997, 2082, 4584, 14914, 1997, 1996, 7619, 5490, 8787, 2953, 1997, 16233, 1005, 1055, 4398, 1010, 2004, 3141, 2682, 1012, 1996, 2168, 9390, 3024, 14954, 12653, 1997, 1996, 2536, 6441, 8760, 2011, 19128, 2015, 1010, 1998, 1997, 2014, 11888, 1044, 2100, 11239, 8713, 3471, 2096, 1999, 1996, 2729, 1997, 2014, 2388, 1012, 2122, 2168, 2111, 4384, 1037, 6918, 2735, 7875, 5833, 1997, 19128, 2015, 1005, 1055, 4550, 20942, 1998, 3558, 2092, 1011, 2108, 2044, 2016, 2018, 2042, 3718, 2013, 1996, 2188, 1012, 16233, 1010, 2006, 1996, 2060, 2192, 1010, 14914, 2008, 2014, 2188, 2001, 23613, 5224, 1010, 1998, 2008, 19128, 2015, 2001, 2921, 2004, 27820, 2004, 2014, 4650, 2052, 3499, 1012, 16233, 7108, 2014, 2684, 1005, 1055, 3532, 2082, 5270, 1998, 6976, 15575, 2096, 2012, 2082, 2000, 18634, 4023, 1012, 1008, 19594, 4212, 10860, 25750, 2020, 5827, 2011, 16233, 2005, 2035, 1996, 2536, 18438, 1025, 1998, 1996, 6402, 4504, 2013, 1037, 7198, 14366, 4926, 5994, 3053, 5263, 3558, 9530, 25485, 8496, 2011, 19128, 2015, 1012, 2073, 10896, 2003, 3495, 19326, 1010, 2057, 3653, 23545, 2008, 1996, 3648, 1005, 1055, 9556, 2024, 6149, 2138, 2002, 2001, 2556, 2043, 1996, 10896, 2001, 2445, 1998, 2018, 1996, 4495, 2000, 11949, 1996, 21745, 1997, 1996, 9390, 1012, 3043, 1997, 28774, 1006, 3245, 1007, 1010, 18318, 1012, 1010, 25186, 1052, 1012, 14134, 11118, 2581, 1010, 4029, 2358, 1012, 16360, 1012, 25113, 1012, 2182, 1010, 1996, 2457, 4900, 2000, 2903, 2008, 1996, 2188, 2001, 2025, 7919, 5224, 2750, 5567, 4073, 1997, 5034, 2015, 2000, 3073, 2188, 18321, 5375, 1010, 1998, 2008, 1996, 6441, 2000, 19128, 2015, 2020, 4445, 23613, 4496, 13675, 2098, 17296, 4541, 1012, 1996, 2457, 2106, 2025, 6905, 2049, 19258, 1999, 2061, 4531, 1012, 16233, 12040, 2015, 2008, 2144, 2045, 2001, 2053, 3622, 3350, 2008, 2016, 9969, 17303, 1996, 6441, 2588, 19128, 2015, 1010, 1996, 4531, 1997, 6905, 1998, 19046, 2001, 24156, 1012, 2930, 4601, 1011, 1017, 1011, 9402, 1010, 22432, 1010, 11859, 2019, 16999, 2030, 15486, 2775, 2004, 1000, 1012, 1012, 1012, 1037, 2775, 3005, 3671, 3558, 2740, 2030, 7574 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1288, 17149, 29827, 14157, 1295, 24830, 1305, 17149, 15394, 15394, 1012, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1295, 29820, 29826, 29836, 23673, 24830, 1270, 29824, 29817, 1304, 14157, 1270, 29831, 23673, 29816, 1278, 17149, 1278, 25573, 29821, 23673, 1295, 15915, 25573, 29823, 23673, 1298, 1283, 17149, 29841, 29817, 1297, 25573, 24830, 1270, 15394, 25573, 17149, 24830, 1298, 1304, 25573, 17149, 29821, 18511, 14157, 1275, 25573, 29817, 1295, 29836, 17149, 15394, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1292, 17149, 25573, 17149, 1295, 24830, 1305, 24830, 17149, 15394, 1012, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1271, 14157, 1295, 15915, 29829, 29836, 17149, 1270, 15915, 29817, 29834, 25573, 23673, 1297, 29836, 25573, 24830, 1295, 29836, 29819, 29836, 15394, 1278, 17149, 1304, 18511, 25573, 23673, 1304, 29836, 23673, 17149, 1271, 14157, 1278, 25573, 29821, 23673, 1295, 29820, 24830, 29828, 1297, 25573, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1295, 24830, 1283, 29836, 15394, 1012, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1271, 25573, 1295, 29817, 17149, 24830, 25573, 23673, 1297, 25573, 24830, 1305, 29836, 15915, 25573, 29842, 29836, 15915, 1298, 1278, 17149, 1270, 29816, 29830, 25573, 15394, 1295, 29821, 29817, 23673, 29833, 1288, 17149, 29827, 14157, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 29823, 1282, 25573, 23673, 15407, 2549, 1291, 17149, 29836, 29825, 29842, 25573, 14157, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1280, 25573, 14157, 1270, 15915, 15394, 25573, 29823, 24830, 1304, 17149, 15394, 14157, 1270, 29824, 29817, 1273, 25573, 1271, 29817, 29836, 18511, 15394, 1292, 15394, 22192, 24830, 1278, 17149, 1280, 25573, 29824, 29817, 25573, 24830, 1280, 29824, 18511, 15394, 15915, 1278, 22192, 25573, 24830, 1295, 29828, 23673, 29836, 29816, 1271, 14157, 1295, 29820, 24830, 29828, 1297, 25573, 1271, 17149, 15394, 25573, 17149, 15394, 1012, 1278, 17149, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1270, 29823, 1275, 15915, 29824, 1270, 23673, 29836, 22192, 24830, 15915, 24830, 29836, 22192, 1268, 1270, 14157, 15915, 1298, 1303, 29836, 29816, 1273, 29836, 23673, 24830, 15394, 1295, 24830, 1283, 29836, 15394, 1012, 1270, 29823, 1278, 24830, 29842, 17149, 1295, 29820, 29826, 29836, 23673, 25573, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1295, 24830, 1273, 29836, 18511, 1271, 14157, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1277, 29828, 24830, 1268, 1282, 29834, 29833, 24830, 1268, 1278, 22192, 29839, 17149, 15394, 25573, 17149, 1268, 1271, 15394, 29836, 15915, 1278, 22192, 29839, 17149, 1298, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1271, 25573, 29823, 15394, 24830, 15394, 1270, 29825, 25573, 17149, 14157, 1304, 17149, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1277, 15394, 22192, 25573, 29817, 1302, 29824, 1270, 29823, 1291, 17149, 29836, 29825, 1270, 17149, 25573, 14498, 14157, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1298, 1297, 22192, 29840, 15915, 24830, 15915, 1292, 24830, 22192, 29817, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1271, 29824, 24830, 25573, 17149, 1295, 15915, 25573, 29824, 29816, 1278, 17149, 1296, 29829, 17149, 1305, 17149, 29833, 29817, 14157, 1270, 29824, 29817, 1012, 1295, 29817, 29821, 29826, 29826, 18511, 1296, 29826, 29816, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1297, 22192, 29836, 25573, 17149, 14157, 1278, 17149, 1273, 23673, 25573, 29825, 15915, 15394, 1273, 25573, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1295, 29825, 29817, 17149, 24830, 18511, 1280, 25573, 1271, 17149, 25573, 24830, 1270, 15915, 18511, 1296, 29826, 29816, 1296, 22192, 25573, 24830, 15915, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1271, 29821, 29825, 1277, 17149, 24830, 15394, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 24830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1280, 25573, 14157, 1270, 15915, 15394, 25573, 29823, 24830, 1304, 17149, 15394, 14157, 1270, 29824, 29817, 1273, 25573, 1295, 29825, 29817, 17149, 24830, 18511, 1271, 29817, 29836, 18511, 15915, 15394, 1271, 14157, 1280, 25573, 29820, 29817, 24830, 1298, 1278, 17149, 1304, 29836, 29817, 25573, 14157, 29817, 17149, 24830, 15915, 1281, 22192, 18511, 1295, 29820, 29826, 29836, 23673, 25573, 29817, 1295, 29836, 17149, 15394, 1296, 24830, 25573, 29823, 1277, 29836, 15394, 1280, 25573, 1273, 14157, 24830, 14157, 1304, 15915, 15915, 15394, 1012, 1278, 17149, 1270, 24830, 15915, 1283, 17149, 29841, 29817, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1286, 17149, 29820, 1297, 25573, 1268, 1280, 15915, 29842, 1297, 25573, 1298, 1295, 29817, 17149, 24830, 25573, 23673, 1297, 25573, 24830, 1305, 29836, 15915, 25573, 29842, 29836, 15915, 1282, 25573, 29821, 29817, 14157, 1295, 24830, 1283, 29836, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1271, 25573, 1273, 29836, 29819, 14157, 1271, 14157, 1296, 24830, 25573, 29823, 1295, 29826, 17149, 29833, 1304, 15915, 15915, 15394, 14157, 1278, 17149, 24830, 29840, 14157, 1297, 25573, 24830, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1277, 29836, 15394, 1280, 25573, 1286, 17149, 25573, 29820, 24830, 1298, 1270, 29819, 17149, 25573, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1298, 1271, 25573, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1270, 29823, 1270, 24830, 15394, 14157, 1297, 25573, 24830, 1275, 15394, 24830, 15394, 1304, 25573, 17149, 29825, 15915, 25573, 29824, 18511, 1277, 29836, 15394, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 29819, 15394, 24830, 15394, 1280, 25573, 1270, 29823, 1275, 15915, 29824, 1297, 25573, 24830, 1295, 29821, 29817, 23673, 29833, 24830, 1297, 22192, 29840, 29836, 15915, 1270, 14157, 15915, 1268, 1270, 23673, 29836, 22192, 24830, 15915, 24830, 29836, 22192, 1298, 1303, 29836, 29816, 1273, 29836, 23673, 24830, 15394, 1298, 1271, 14157, 1271, 25573, 29823, 25573, 17149, 1295, 29826, 17149, 29833, 24830, 1270, 17149, 25573, 14498, 14157, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1012, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1304, 18511, 25573, 23673, 1282, 25573, 29823, 24830, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1273, 29836, 23673, 24830, 15394, 1298, 1271, 14157, 1291, 17149, 29836, 29825, 1295, 24830, 1280, 29824, 15394, 1012, 1278, 17149, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1273, 22192, 25573, 22192, 24830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1275, 15394, 24830, 15394, 1298, 1271, 14157, 1280, 29836, 29823, 1278, 15915, 24830, 25573, 1270, 29823, 1275, 22192, 23673, 14157, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1295, 29825, 29816, 29841, 1268, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 24830, 29836, 25573, 17149, 24830, 1268, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1282, 29834, 29833, 24830, 1298, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1277, 29828, 24830, 1288, 17149, 29827, 14157, 1295, 24830, 1305, 17149, 15394, 15394, 1012, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1304, 14157, 1278, 17149, 1271, 25573, 23673, 25573, 1296, 25573, 22192, 1271, 17149, 15394, 14157, 1283, 15394, 1271, 25573, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1270, 29823, 1298, 17149, 29834, 1297, 25573, 24830, 1295, 29817, 15915, 29836, 29830, 24830, 1273, 29836, 23673, 24830, 15394, 1295, 24830, 1283, 29836, 15915, 15394, 1012, 1291, 17149, 29836, 29825, 29842, 25573, 14157, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 24830, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1278, 17149, 1296, 29836, 29830, 1305, 25573, 23673, 29836, 18511, 24830, 29823, 14157, 1268, 1270, 23673, 29836, 22192, 24830, 15915, 24830, 29836, 22192, 1268, 1302, 23673, 25573, 29824, 29817, 24830, 29841, 24830, 1298, 1303, 29836, 29816, 24830, 1271, 14157, 1291, 17149, 29836, 29825, 1295, 24830, 1280, 29824, 18511, 15394, 1012, 1304, 25573, 17149, 29816, 17149, 15394, 1297, 17149, 1309, 29841, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 1271, 29824, 29817, 14157, 1271, 14157, 1296, 29836, 29830, 1295, 29820, 24830, 29828, 1298, 1304, 25573, 17149, 29816, 17149, 24830, 1270, 15915, 14157, 25573, 1295, 29817, 29831, 24830, 17149, 1295, 24830, 1271, 25573, 29825, 15394, 1012, 1297, 22192, 29840, 15915, 24830, 15915, 1278, 17149, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1295, 29821, 29817, 23673, 29833, 24830, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1303, 29836, 29816, 24830, 1277, 29828, 24830, 1274, 25573, 29816, 29817, 1268, 1277, 29828, 24830, 1278, 22192, 29839, 17149, 15394, 25573, 17149, 1268, 1278, 24830, 29836, 25573, 17149, 24830, 1278, 17149, 29839, 29836, 29825, 1278, 25573, 17149, 1298, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1303, 29836, 29816, 24830, 1281, 24830, 17149, 1291, 15915, 1304, 29836, 14498, 23673, 24830, 1273, 29836, 23673, 24830, 15394, 1298, 1271, 14157, 1291, 17149, 29836, 29825, 1295, 24830, 1280, 29824, 15394, 1012, 1309, 29841, 24830, 1270, 29823, 1275, 15394, 24830, 15394, 29817, 17149, 24830, 15915, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1268, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 29839, 29836, 29825, 1278, 25573, 17149, 1295, 24830, 1271, 25573, 29825, 15394, 1012, 1270, 24830, 15915, 1295, 29820, 29826, 29836, 23673, 1295, 29820, 29816, 29836, 29816, 24830, 29817, 100, 1270, 24830, 1278, 17149, 1295, 24830, 18511, 1295, 29825, 29817, 17149, 24830, 18511, 1304, 29824, 29816, 1304, 17149, 15394, 14157, 1270, 29824, 29817, 1012, 1297, 17149, 1309, 29841, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 1295, 29823, 25573, 24830, 25573, 24830, 1295, 15915, 29820, 29826, 17149, 1271, 14157, 1291, 17149, 15394, 24830, 1278, 25573, 17149, 15915, 15394, 1304, 14157, 1278, 17149, 1271, 29821, 29825, 1297, 25573, 24830, 1271, 29830, 15394, 24830, 1273, 29836, 29827, 24830, 29820, 25573, 29817, 24830, 1278, 17149, 29816, 25573, 17149, 14157, 1309, 1297, 17149, 1304, 15394, 25573, 22192, 1278, 17149, 29819, 1283, 15394, 14157, 1270, 29824, 29817, 1012, 1270, 24830, 15915, 1295, 29828, 25573, 23673, 29816, 1271, 14157, 1295, 15915, 29829, 29836, 17149, 1282, 14157, 29836, 23673, 29817, 1295, 29825, 29817, 17149, 24830, 18511, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1278, 17149, 1270, 15915, 29817, 29821, 25573, 29816, 1295, 29820, 29826, 29836, 23673, 1295, 29836, 17149, 15394, 1296, 29829, 17149, 29825, 18511, 1273, 14157, 24830, 14157, 1298, 1274, 29816, 29817, 1283, 15394, 14157, 1270, 29824, 29817, 1012, 1288, 23673, 25573, 29836, 14157, 1271, 17149, 1270, 29828, 23673, 25573, 29830, 25573, 29817, 1295, 29817, 15915, 24830, 1278, 17149, 29819, 1283, 15394, 14157, 1268, 1270, 15915, 29836, 25573, 29830, 1295, 29821, 29817, 23673, 29833, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1273, 29836, 29824, 29828, 1273, 29826, 25573, 29836, 24830, 17149, 1298, 25573, 29827, 29820, 1298, 1271, 25573, 1304, 24830, 29833, 29817, 1297, 17149, 1309, 29841, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1297, 25573, 24830, 1273, 15915, 29829, 24830, 22192, 1297, 29836, 25573, 1292, 25573, 29816, 23673, 1295, 29825, 25573, 14157, 15394, 14157, 1295, 24830, 1271, 25573, 29825, 15394, 1012, 1277, 17149, 24830, 15394, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 24830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1305, 29822, 29825, 29817, 14157, 1270, 29833, 17149, 25573, 15394, 1271, 17149, 25573, 24830, 1273, 14157, 24830, 14157, 1309, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1295, 24830, 1271, 25573, 24830, 29824, 29817, 1271, 14157, 1295, 17149, 25573, 29841, 29823, 1291, 17149, 29836, 29825, 1291, 24830, 29823, 24830, 29841, 24830, 1295, 17149, 25573, 29819, 29830, 14157, 1295, 24830, 1304, 17149, 15394, 15915, 15394, 1012, 1270, 22192, 25573, 1270, 22192, 17149, 29836, 29823, 14157, 1271, 25573, 1302, 24830, 29825, 17149, 29833, 29817, 1270, 17149, 29817, 29816, 25573, 29828, 25573, 29817, 1298, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 1270, 24830, 15915, 1292, 25573, 29816, 23673, 24830, 29817, 1291, 17149, 25573, 14157, 22192, 1283, 15394, 14157 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 12702, 2389, 3654, 2063, 2024, 10015, 3120, 1997, 28148, 2349, 2000, 2037, 5056, 3560, 2838, 2107, 2004, 2037, 6302, 13181, 24330, 3267, 1010, 2152, 3930, 3446, 1010, 3768, 1997, 2971, 2007, 2833, 8765, 2005, 5424, 2571, 2455, 1010, 1998, 12990, 17490, 14778, 6313, 6177, 1010, 2107, 2004, 5250, 1010, 28815, 2015, 1010, 1998, 7637, 3787, 1006, 1031, 1030, 25416, 1011, 2403, 1033, 1025, 1031, 1030, 25416, 1011, 4261, 1033, 1007, 1012, 3568, 1010, 2009, 2038, 2042, 2109, 2004, 14172, 17406, 1010, 2107, 2004, 1999, 2833, 1010, 5438, 1010, 8360, 9440, 1010, 16012, 11263, 9050, 1010, 2030, 12141, 6377, 1999, 3117, 16012, 2890, 23460, 2854, 8474, 1006, 1031, 1030, 25416, 1011, 4724, 1033, 1025, 1031, 1030, 25416, 1011, 4029, 1033, 1007, 1012, 4406, 12350, 4264, 1010, 1996, 6897, 2135, 3161, 10099, 15901, 2013, 12702, 2389, 3654, 2063, 2031, 3491, 4310, 5144, 1010, 2107, 2004, 3424, 3676, 21162, 4818, 1010, 3424, 24093, 2140, 1010, 3424, 11263, 13807, 2140, 1010, 3424, 11636, 8524, 6024, 1010, 3424, 1011, 20187, 1010, 1998, 3424, 1011, 13656, 5144, 1006, 1031, 1030, 25416, 1011, 1021, 1033, 1025, 1031, 1030, 25416, 1011, 2410, 1033, 1025, 1031, 1030, 25416, 1011, 2321, 1033, 1025, 1031, 1030, 25416, 1011, 2385, 1033, 1025, 1031, 1030, 25416, 1011, 1020, 1033, 1025, 1031, 1030, 25416, 1011, 1022, 1033, 1007, 1012, 2013, 21791, 2391, 1997, 3193, 1010, 26572, 3736, 9468, 18428, 6155, 2013, 18670, 2024, 10015, 3688, 2349, 2000, 2037, 14531, 1999, 18670, 1006, 1031, 1030, 25416, 1011, 2570, 1033, 1007, 1012, 26572, 3736, 9468, 18428, 6155, 2064, 2022, 15901, 2013, 18670, 2011, 2195, 1000, 2665, 1000, 14676, 5461, 1010, 2107, 2004, 18302, 1011, 7197, 14676, 1006, 1031, 1030, 25416, 1011, 2382, 1033, 1007, 1998, 9007, 1011, 7197, 14676, 4725, 1006, 1031, 1030, 25416, 1011, 2538, 1033, 1007, 1012, 1996, 6459, 1997, 2367, 26572, 3736, 9468, 18428, 6155, 2013, 12702, 2389, 3654, 2063, 1010, 2164, 2037, 5512, 1998, 3252, 1010, 2020, 6936, 1006, 1031, 1030, 25416, 1011, 1021, 1033, 1007, 1012, 2009, 2001, 2988, 2008, 1008, 1043, 1012, 17727, 21041, 24894, 1008, 1998, 1008, 1039, 1012, 29364, 2483, 1008, 4838, 24004, 16122, 6593, 9232, 1006, 1031, 1030, 25416, 1011, 2871, 1033, 1007, 1998, 18423, 1006, 1031, 1030, 25416, 1011, 2676, 1033, 1007, 1010, 4414, 1012, 2174, 1010, 1996, 2060, 26572, 3736, 9468, 18428, 6155, 2013, 12702, 2389, 3654, 2063, 2024, 21770, 10624, 18155, 25219, 2869, 1997, 16122, 6593, 9232, 1010, 1060, 8516, 9232, 1010, 18423, 1010, 1054, 3511, 15460, 2063, 1010, 11865, 13186, 2063, 1010, 1998, 10424, 14194, 22282, 1006, 1031, 1030, 25416, 1011, 2484, 1033, 1025, 1031, 1030, 25416, 1011, 4090, 1033, 1025, 1031, 1030, 25416, 1011, 2654, 1033, 1007, 1012, 1031, 1030, 25416, 1011, 2340, 1033, 2179, 2008, 1996, 3252, 1997, 1996, 26572, 3736, 9468, 18428, 6155, 2013, 1008, 6887, 6679, 13390, 6593, 8516, 2819, 13012, 27108, 24072, 2819, 1008, 2001, 1037, 8223, 7810, 26754, 2094, 19857, 27108, 17175, 5804, 2319, 1010, 2007, 1037, 21505, 3605, 1997, 1156, 1011, 1006, 1015, 1010, 1017, 1007, 1011, 5799, 10856, 9232, 1012, 2116, 2913, 2031, 3491, 2008, 1996, 26572, 3736, 9468, 18428, 6155, 2013, 12702, 2389, 3654, 2063, 2024, 7356, 2011, 3424, 3676, 21162, 4818, 1010, 3424, 11667, 2953, 1010, 1998, 3424, 24093, 2140, 5144, 1006, 1031, 1030, 25416, 1011, 2656, 1033, 1007, 1012, 2004, 1037, 2785, 1997, 22939, 20389, 1010, 13866, 2361, 2038, 2042, 2179, 1999, 2307, 14531, 1999, 5780, 1998, 18955, 5380, 1006, 1031, 1030, 25416, 1011, 1018, 1033, 1007, 1012, 2009, 3397, 3155, 4029, 1012, 1018, 1003, 13587, 5250, 1010, 2656, 1012, 1015, 1003, 2482, 5092, 10536, 7265, 2618, 1010, 2324, 1012, 1014, 1003, 5423, 3593, 1010, 2321, 1012, 1023, 1003, 6683, 1010, 1998, 1014, 1012, 2423, 1003, 8699, 28283, 11461, 11917, 2006, 1037, 4318, 3635, 1006, 1040, 2860, 1007, 3978, 1006, 1031, 1030, 25416, 1011, 2756, 1033, 1007, 1012, 1999, 2804, 1010, 2009, 2064, 27598, 7070, 28815, 2015, 2107, 2004, 11865, 3597, 18684, 3372, 10606, 1010, 13012, 15719, 2140, 25643, 17119, 27896, 1010, 1998, 14827, 1011, 1017, 2146, 1011, 4677, 26572, 4609, 16846, 4648, 3064, 19101, 12737, 1010, 2107, 2004, 1041, 11261, 3736, 11837, 2696, 16515, 2594, 5648, 1006, 19044, 1025, 29248, 2692, 1024, 1019, 1007, 1006, 1031, 1030, 25416, 1011, 2324, 1033, 1025, 1031, 1030, 25416, 1011, 2861, 1033, 1025, 1031, 1030, 25416, 1011, 4601, 1033, 1025, 1031, 1030, 25416, 1011, 2423, 1033, 1007, 1012, 2747, 1010, 2009, 2003, 3293, 3550, 2005, 2049, 5423, 9821, 1010, 2926, 19044, 1010, 1998, 2195, 2913, 2031, 4912, 2000, 3623, 1996, 2537, 10750, 1997, 19044, 1998, 28148, 1006, 1031, 1030, 25416, 1011, 2260, 1033, 1025, 1031, 1030, 25416, 1011, 1016, 1033, 1025, 1031, 1030, 25416, 1011, 2423, 1033, 1007, 1012, 1999, 3522, 2086, 1010, 2349, 2000, 2049, 2116, 17261, 3450, 1010, 11865, 3597, 18684, 3372, 10606, 2038, 2042, 3293, 3550, 2013, 13866, 2361, 1012, 2174, 1010, 2045, 2003, 2210, 2470, 2055, 1996, 26572, 3736, 9468, 18428, 6155, 15901, 2013, 13866, 2361, 1012, 3568, 1010, 2000, 2191, 2440, 2224, 1997, 1996, 2632, 3654, 1010, 1999, 2023, 3259, 1010, 2057, 15901, 26572, 3736, 9468, 18428, 6155, 2013, 13866, 2361, 1010, 7356, 2049, 5072, 3252, 1010, 1998, 3273, 1996, 3424, 9336, 17119, 4023, 1997, 1996, 26572, 3736, 9468, 18428, 6155, 1012, 4475, 1998, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 6887, 6679, 13390, 6593, 8516, 2819, 13012, 27108, 24072, 2819, 1008, 8168, 1998, 2128, 4270, 7666, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 9550, 13866, 2361, 9898, 2001, 8127, 2011, 1996, 2820, 1997, 4153, 6779, 1010, 2822, 2914, 1997, 4163, 1012, 2035, 1996, 2128, 4270, 7666, 2109, 2020, 1997, 17826, 3694, 1998, 11088, 2800, 4983, 4728, 3090, 1012, 14676, 1997, 26572, 3736, 9468, 18428, 6155, 2013, 1008, 6887, 6679, 13390, 6593, 8516, 2819, 13012, 27108, 24072, 2819, 1008, 1006, 13866, 2361, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 14676, 16403, 2001, 2004, 1031, 20965, 1012, 1015, 1033, 1006, 1001, 20965, 1011, 1015, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1012, 999, 1031, 14676, 2832, 1012, 1032, 1996, 14676, 16403, 1997, 13866, 2361, 1012, 1033, 1006, 8152, 3501, 1011, 5718, 1011, 19714, 2683, 1011, 1043, 8889, 2487, 1007, 1063, 1001, 20965, 1011, 1015, 1065, 1996, 9550, 13866, 2361, 9898, 2001, 15901, 2011, 1996, 9175, 7317, 3388, 4118, 2007, 22886, 2000, 6366, 28815, 2015, 1998, 5423, 9821, 1012, 1996, 21755, 2001, 2059, 9550, 1999, 2019, 17428, 2012, 2753, 6362, 1010, 1998, 26572, 3736, 9468, 18428, 6155, 2020, 15901, 2011, 2980, 4487, 16643, 11001, 2300, 2007, 1996, 5375, 1997, 11087, 18585, 4725, 1012, 1996, 15502, 4860, 1010, 2335, 1997, 11087, 18585, 3949, 1010, 1998, 14676, 2051, 2020, 4340, 1006, 3491, 1999, 1031, 27024, 2592, 1033, 1006, 1001, 27024, 1011, 2592, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1012, 2429, 2000, 1996, 15502, 3785, 1010, 1996, 21755, 2632, 9692, 9898, 2001, 5845, 2011, 1996, 11087, 18585, 4118, 2005, 2322, 2335, 1010, 2184, 1055, 2551, 1010, 2184, 1055, 2717, 1010, 1998, 17014, 1059, 2373, 1012, 2059, 1010, 2009, 2001, 15901, 2012, 3770, 6362, 2005, 1016, 1044, 2007, 18385, 1012, 1996, 5576, 2550, 2011, 10882, 7096, 8156, 2001, 25011, 2011, 16933, 9345, 17822, 8844, 1998, 13764, 2100, 5422, 2005, 5474, 8208, 1012, 1996, 4663, 5576, 2001, 25011, 2153, 1010, 1998, 1996, 2345, 5576, 2001, 13184, 1011, 9550, 2000, 2131, 1996, 16405, 22618, 26754, 2094, 26572, 3736, 9468, 18428, 6155, 1010, 2170, 13866, 2361, 1012, 5072, 23191, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 12464, 1997, 13866, 2361, 2001, 7594, 2011, 6522, 15472, 2007, 1037, 24529, 2243, 21500, 1043, 29537, 2692, 28400, 2595, 2140, 5930, 2478, 1014, 1012, 5709, 9587, 2140, 1013, 1048, 6583, 1066, 1016, 1066, 2061, 1066, 1018, 1066, 2004, 1996, 4684, 4403, 2006, 2019, 29003, 3372, 14010, 2692, 6522, 15472, 2291, 6055, 2007, 1037, 25416, 26884, 5950, 19034, 1012, 1996, 5930, 4860, 2001, 3486, 6362, 1010, 1998, 1996, 4834, 3446, 1997, 1996, 4684, 4403, 2001, 1014, 1012, 1019, 19875, 1013, 8117, 1012, 20647, 6494, 2078, 4781, 2007, 1037, 12464, 1997, 1015, 1010, 1019, 1010, 2260, 1010, 2753, 1010, 3770, 1010, 13756, 1010, 1998, 25535, 1047, 2850, 1006, 13201, 1010, 2273, 27364, 2050, 7535, 1010, 24098, 1010, 3915, 1007, 2020, 2109, 2000, 10250, 12322, 11657, 1996, 5930, 1012, 2561, 5699, 2015, 2020, 16578, 2011, 1996, 6887, 16515, 2140, 1011, 17864, 2594, 5648, 4118, 1006, 1031, 1030, 25416, 1011, 2184, 1033, 1007, 2478, 16122, 6593, 9232, 2004, 1996, 3115, 1012, 26754, 2094, 4180, 2001, 4340, 2011, 1996, 22466, 2819, 19057, 21500, 20363, 4118, 1006, 1031, 1030, 25416, 1011, 2459, 1033, 1007, 1012, 1996, 9587, 8017, 21879, 1997, 1996, 18847, 3736, 9468, 18428, 3207, 5512, 2020, 4340, 2429, 2000, 1031, 1030, 25416, 1011, 3943, 1033, 1012, 1015, 1011, 6887, 2368, 8516, 1011, 1017, 1011, 25003, 1011, 1019, 1011, 1052, 19563, 6844, 27165, 3653, 1011, 5930, 29280, 6522, 15472, 2001, 2109, 2000, 5646, 1996, 9587, 8017, 6463, 1997, 1996, 18847, 3736, 9468, 18428, 3207, 5512, 1012, 4780, 1010, 2184, 11460, 26572, 3736, 9468, 18428, 3207, 7099, 2001, 8314, 2046, 2028, 19875, 4487, 16643, 11001, 2300, 1012, 1996, 8150, 2001, 18479, 2135, 5422, 1999, 1018, 9587, 2140, 1013, 1048, 13012, 10258, 19098, 3217, 10732, 4588, 5648, 1010, 2628, 2011, 8699, 3989, 2007, 13365, 18479, 19491, 1012, 2059, 1010, 6522, 15472, 2001, 2109, 2000, 5646, 2296, 18847, 3736, 9468, 18428, 3207, 5512, 2006, 1037, 1061, 12458, 5308, 1051, 5104, 1037, 4160, 5930, 1006, 1018, 1012, 1020, 3461, 1095, 5539, 3461, 1007, 1012, 10856, 9232, 1010, 1054, 3511, 15460, 2063, 1010, 11865, 13186, 2063, 1010, 16122, 6593, 9232, 1010, 1060, 8516, 9232, 1010, 18423, 1010, 1998, 1043, 7630, 10841, 4948, 2594, 5648, 2013, 13201, 1011, 2632, 23335, 2020, 2109, 2004, 4781, 1012, 3027, 1011, 20868, 29237, 1997, 13866, 2361, 2020, 4340, 2006, 1037, 9851, 2102, 1011, 9475, 3027, 1011, 20868, 28699, 13887, 15141, 2090, 4278, 1998, 1018, 1010, 2199, 4642, 1034, 1597, 2487, 1034, 1012, 9312, 1997, 26402, 2075, 2002, 26952, 2475, 3930, 4023, 1999, 25714, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1001, 1001, 1001, 3526, 3226, 2002, 26952, 2475, 4442, 4156, 2013, 28919, 6562, 3526, 2924, 1010, 2822, 2914, 1997, 4163, 1010, 2020, 3226, 2094, 1999, 1040, 4168, 2213, 20585, 2007, 2184, 1003, 25972, 8945, 20534, 20194, 5576, 1010, 2531, 1057, 1013, 19875, 7279, 28775, 21202, 1998, 2531, 11460, 1013, 19875, 2358, 2890, 13876, 16940, 15459, 2012, 4261, 6362, 1999, 1037, 14178, 7810, 7224, 4820, 1019, 1003, 2522, 1066, 1016, 1066, 1012, 1001, 1001, 1001, 9312, 1997, 26402, 2075, 2002, 26952, 2475, 3930, 4023, 1999, 25714, 1996, 3526, 3930, 24054, 2100, 4023, 1997, 13866, 2361, 2007, 2367, 14061, 1006, 2753, 1010, 2531, 1010, 5018, 1010, 3263, 1010, 1998, 5539, 1057, 2290, 1013, 19875, 1007, 2001, 14155, 2011, 11047, 2102, 4632, 4710, 1012, 1996, 4442, 2020, 13916, 1999, 1037, 5986, 1011, 2092, 5127, 2012, 1037, 6693, 1997, 1015, 1095, 2184, 1034, 1018, 1034, 4442, 1013, 19875, 1998, 4297, 19761, 3064, 2007, 2536, 14061, 13866, 2361, 2005, 4466, 1044, 1012, 2059, 1010, 3263, 17359, 1014, 1012, 1019, 11460, 1013, 19875, 11047, 2102, 5576, 2001, 2794, 2000, 2169, 2092, 1012, 2044, 1018, 1044, 4297, 19761, 3508, 1010, 1996, 7766, 2020, 9358, 3089, 11263, 5999, 2005, 2184, 8117, 2012, 1022, 1010, 2199, 11575, 1012, 11047, 2102, 5576, 2001, 3718, 1012, 1998, 3263, 17359, 1040, 5244, 2080, 2001, 2794, 2046, 2169 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2383, 6581, 3716, 1997, 1996, 6523, 4765, 5300, 1997, 2417, 2668, 4442, 1006, 21144, 6169, 1007, 10857, 2007, 2336, 1998, 25947, 2003, 28089, 2590, 2005, 5372, 7613, 1997, 1996, 3463, 1997, 3143, 2668, 4175, 1012, 4431, 5300, 2005, 21144, 6169, 10857, 2024, 2896, 2007, 2336, 1999, 7831, 2007, 1996, 6001, 1006, 1031, 1030, 29491, 1033, 1007, 1012, 2195, 2913, 2029, 10847, 19610, 10610, 27179, 11709, 2031, 2042, 2589, 1999, 2367, 7080, 1010, 5762, 1010, 5636, 1998, 5907, 20576, 2015, 1010, 2130, 1999, 2367, 3692, 1006, 1031, 1030, 1038, 2475, 1033, 1011, 1011, 1031, 1030, 1038, 2629, 1033, 1007, 1012, 1999, 2087, 1997, 2122, 2913, 1010, 2287, 1010, 5636, 1998, 3348, 5966, 2020, 3278, 1998, 3568, 2009, 2001, 13233, 1996, 2342, 2005, 7411, 3671, 4431, 5300, 2005, 2367, 7080, 1012, 21144, 2278, 10857, 2024, 7199, 6540, 2083, 4639, 2166, 1010, 2021, 3278, 5966, 4839, 1999, 1996, 23614, 2313, 1012, 1996, 20662, 10527, 1010, 3080, 2775, 1010, 1998, 4639, 2265, 13769, 5966, 1006, 1031, 1030, 1038, 2575, 1033, 1007, 1012, 2138, 19610, 8649, 4135, 8428, 2504, 1998, 2417, 3526, 29299, 8137, 2007, 2287, 1010, 2009, 2003, 10232, 2000, 2202, 2004, 4431, 4781, 2008, 2689, 1999, 2169, 2558, 1997, 2166, 1010, 2013, 25972, 2166, 2000, 29101, 1012, 4639, 3643, 2097, 2022, 2584, 6360, 2076, 1996, 2117, 2112, 1997, 5593, 1010, 2105, 2321, 1061, 2099, 1997, 2287, 1006, 1031, 1030, 1038, 2581, 1033, 1007, 1012, 2000, 5676, 2008, 7613, 1997, 19610, 10610, 6483, 3463, 1999, 2336, 2024, 6413, 1010, 1996, 5911, 2038, 2000, 2031, 2511, 2287, 1011, 3563, 4431, 8483, 1006, 1031, 1030, 1038, 2620, 1033, 1007, 1012, 1996, 3348, 5966, 1999, 19610, 8649, 4135, 8428, 2504, 1999, 6001, 2024, 2092, 8832, 1010, 1998, 1996, 10318, 10595, 2024, 2763, 1037, 3622, 3466, 1997, 3348, 20752, 1010, 2119, 9765, 22991, 1998, 1998, 22991, 2015, 2006, 9413, 22123, 8093, 7361, 10448, 19009, 1006, 1031, 1030, 1038, 2683, 1033, 1007, 1012, 1000, 1999, 3653, 1011, 9047, 8743, 2389, 4286, 2053, 2350, 5966, 2064, 2022, 2179, 2090, 1996, 21024, 1999, 2417, 2668, 3526, 4175, 2030, 19610, 8649, 4135, 8428, 1998, 20194, 10768, 18752, 7629, 14061, 1000, 1006, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 1000, 1996, 4489, 1999, 19610, 10610, 9966, 10857, 2090, 21024, 19391, 2044, 14447, 1997, 2273, 3367, 6820, 10708, 1998, 14516, 2127, 2184, 1061, 2099, 2044, 1996, 2273, 29477, 8557, 1000, 1006, 1031, 1030, 1038, 2683, 1033, 1010, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 2273, 3367, 6820, 3370, 1998, 28268, 13822, 2024, 4054, 4436, 2005, 2896, 5300, 1997, 19610, 8649, 4135, 8428, 1998, 3707, 1997, 2308, 4953, 2273, 1006, 1031, 1030, 29491, 2487, 1033, 1007, 1012, 1996, 2561, 3815, 1997, 19610, 8649, 4135, 8428, 7457, 2062, 1999, 3337, 2084, 1999, 1996, 3057, 1999, 1996, 2558, 1997, 9047, 15010, 1006, 1031, 1030, 29491, 2475, 1033, 1007, 1012, 2426, 2336, 1020, 1011, 1011, 2403, 1061, 2099, 2214, 1996, 5300, 3445, 2013, 2055, 2260, 2000, 2055, 2403, 24665, 2566, 2531, 19875, 1997, 2668, 1012, 1999, 3057, 2090, 2403, 1998, 2322, 1061, 2099, 1997, 2287, 1010, 1996, 19610, 8649, 4135, 8428, 5300, 10548, 3621, 1010, 4285, 2410, 16523, 1013, 2531, 19968, 1012, 1999, 3337, 1997, 7978, 5535, 1010, 2045, 2001, 2019, 3623, 2000, 2055, 2321, 16523, 1013, 2531, 19968, 1012, 1999, 2119, 21024, 1010, 2122, 5300, 2020, 12754, 2012, 2055, 2322, 1061, 2099, 1997, 2287, 1998, 2815, 8281, 1997, 1996, 2353, 5476, 1997, 2166, 1006, 1031, 1030, 29491, 2509, 1033, 1007, 1012, 1037, 2261, 12596, 2913, 2031, 2042, 4146, 2006, 2336, 1999, 3653, 1011, 20274, 1998, 20274, 2086, 1998, 1996, 3768, 1997, 2913, 1998, 2592, 2006, 19610, 10610, 9966, 11709, 2005, 2023, 2313, 2003, 5793, 1012, 7667, 1997, 21144, 2278, 10857, 1999, 2402, 2313, 1998, 9128, 1997, 3671, 5300, 2003, 4072, 2005, 8720, 1997, 2019, 17577, 1012, 1996, 6614, 1997, 2023, 3259, 2001, 2000, 5646, 1996, 5300, 1997, 21144, 2278, 10857, 2007, 2402, 2313, 2013, 2119, 21024, 1010, 2306, 2287, 8487, 1022, 2000, 2324, 2086, 1012, 2825, 5966, 1999, 1996, 2177, 1006, 1055, 1007, 2031, 2000, 2022, 4340, 4953, 1996, 2287, 4489, 1998, 2090, 1996, 2967, 4953, 1996, 3348, 1012, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5739, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2817, 6818, 5031, 1997, 3998, 7965, 2402, 3633, 1006, 2287, 8487, 1022, 2000, 2324, 1061, 2099, 1007, 2029, 4194, 10843, 1999, 2367, 7957, 1997, 2998, 3450, 1998, 2020, 2920, 1999, 3180, 2966, 3653, 1011, 6577, 4638, 1011, 11139, 1999, 2355, 1012, 1037, 2177, 2007, 3287, 5739, 2001, 3605, 1997, 11212, 6818, 1998, 2931, 2177, 2001, 3605, 1997, 3770, 6818, 1012, 2119, 2967, 2020, 4055, 2046, 20576, 2015, 4953, 1996, 2048, 1011, 2095, 13483, 1024, 2104, 2184, 1006, 1057, 10790, 1007, 1025, 2104, 2260, 1006, 1057, 12521, 1007, 1025, 2104, 2403, 1006, 1057, 16932, 1007, 1025, 2104, 2385, 1006, 1057, 16048, 1007, 1025, 2104, 2324, 1006, 1057, 15136, 1007, 1012, 2668, 3074, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 19610, 10610, 9966, 5604, 2001, 2112, 1997, 3143, 2966, 4638, 6279, 2005, 2998, 3653, 1011, 6577, 11326, 1010, 2076, 2851, 2847, 1006, 2013, 1022, 1024, 4002, 2000, 2260, 1024, 4002, 2572, 1007, 1999, 1037, 4758, 5911, 2007, 5377, 4860, 1006, 2090, 2322, 6362, 1998, 2484, 6362, 1007, 1998, 18213, 1012, 2000, 5646, 1996, 2668, 4175, 2668, 8168, 2020, 5067, 2013, 6178, 9386, 2854, 6258, 2478, 25403, 6081, 16143, 2007, 3424, 3597, 8490, 7068, 3372, 1006, 3968, 2696, 1047, 2509, 1007, 5100, 1999, 2049, 3681, 1012, 2019, 5281, 9345, 7630, 8844, 2001, 1999, 3715, 1997, 1996, 3074, 8853, 1012, 4106, 2001, 4340, 2011, 12978, 19610, 10610, 6483, 17908, 2099, 11113, 2595, 12702, 2015, 3438, 1011, 27178, 1006, 11113, 2595, 19610, 10610, 6483, 1010, 18318, 11880, 3771, 1010, 2605, 1007, 1012, 1996, 4087, 7561, 26721, 3446, 2099, 10903, 3662, 5300, 2896, 2084, 1015, 1003, 1012, 2128, 4270, 7666, 1010, 10250, 12322, 16259, 2015, 1010, 1998, 7711, 2020, 4663, 2013, 1996, 6602, 7751, 1012, 4106, 1997, 8168, 2001, 2864, 3202, 2044, 2668, 5059, 1012, 1996, 5604, 2001, 4146, 2012, 1996, 2820, 1997, 16127, 1010, 2966, 4513, 29255, 1010, 3072, 1997, 11492, 1012, 15182, 1997, 16578, 19610, 10610, 9966, 11709, 1006, 1031, 1030, 29491, 2549, 1033, 1010, 1031, 1030, 29491, 2629, 1033, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 9413, 22123, 8093, 10085, 17250, 2030, 2417, 2668, 9294, 2036, 3615, 2000, 2004, 1000, 21144, 6169, 1000, 1010, 9125, 10320, 1996, 2193, 1997, 21144, 6169, 2566, 3131, 3872, 1997, 2878, 2668, 1012, 3287, 1018, 1012, 1021, 1011, 1011, 1020, 1012, 1015, 1095, 2184, 1034, 1020, 1034, 4442, 1013, 3461, 1034, 1017, 1034, 1025, 2931, 1018, 1012, 1016, 1011, 1011, 1019, 1012, 1018, 1095, 2184, 1034, 1020, 1034, 4442, 1013, 3461, 1034, 1017, 1034, 1012, 19610, 10610, 26775, 4183, 1006, 16731, 2102, 1007, 2003, 1996, 7017, 1997, 2668, 2008, 2003, 3421, 2011, 1996, 2417, 2668, 4442, 1012, 3671, 8483, 2005, 19610, 10610, 26775, 4183, 2024, 6118, 7790, 2006, 1996, 2287, 1010, 1998, 2092, 2649, 2013, 20662, 2015, 2000, 4639, 2287, 1012, 15502, 5300, 2005, 4639, 3767, 2024, 2090, 4413, 1003, 1998, 5139, 1003, 1998, 2005, 2931, 4229, 1003, 2000, 4805, 1003, 1012, 19610, 8649, 4135, 8428, 2504, 1006, 1044, 2497, 1007, 2003, 5228, 2004, 1996, 3815, 1997, 19610, 8649, 4135, 8428, 1999, 20372, 2566, 11703, 18622, 3334, 1997, 2878, 2668, 1012, 4639, 3767, 2323, 2031, 2090, 2403, 2000, 2324, 1043, 1013, 21469, 1010, 4639, 2450, 2260, 2000, 2385, 1043, 1013, 21469, 1012, 2812, 13931, 15431, 3872, 1006, 11338, 2615, 1007, 2003, 1996, 2812, 3872, 1997, 2035, 1996, 2417, 2668, 4442, 1999, 1996, 7099, 2030, 1996, 2779, 2946, 1997, 1996, 2417, 2668, 3526, 1012, 2009, 2064, 2022, 10174, 2011, 16023, 1996, 19610, 10610, 26775, 4183, 1006, 3872, 1997, 2035, 21144, 2278, 1007, 2011, 21144, 2278, 2193, 1012, 1996, 3643, 2003, 5228, 1999, 3872, 3197, 1010, 10768, 20492, 10893, 19168, 1006, 13109, 1027, 2184, 1034, 1597, 16068, 1034, 1048, 1007, 1012, 1996, 3671, 2846, 2003, 3770, 1011, 6365, 10258, 1012, 2812, 13931, 15431, 19610, 8649, 4135, 8428, 1006, 11338, 2232, 1007, 5836, 1996, 2812, 3742, 1997, 19610, 8649, 4135, 8428, 1999, 1996, 2028, 2417, 2668, 3526, 1998, 2003, 5228, 1999, 1996, 3742, 3131, 1010, 27263, 8649, 6444, 2015, 1006, 18720, 1027, 2184, 1034, 1597, 12521, 1034, 24665, 1007, 1012, 2009, 2003, 10174, 2011, 16023, 1996, 2561, 3742, 1997, 19610, 8649, 4135, 8428, 2011, 1996, 2193, 1997, 2417, 2668, 4442, 1012, 1996, 3671, 2846, 2003, 2676, 1011, 1011, 2861, 18720, 1012, 2812, 13931, 15431, 19610, 8649, 4135, 8428, 6693, 1006, 11338, 16257, 1007, 2003, 1996, 2812, 6693, 1997, 19610, 8649, 4135, 8428, 1999, 1996, 2417, 3526, 2030, 2779, 6693, 1997, 19610, 8649, 4135, 8428, 1999, 2028, 23675, 1997, 2417, 2668, 4442, 1012, 2009, 2003, 10174, 2011, 16023, 1996, 19610, 8649, 4135, 8428, 2011, 1996, 19610, 10610, 26775, 4183, 1012, 11338, 16257, 13883, 1996, 3574, 1997, 11338, 2232, 6195, 1996, 2946, 1997, 1996, 3526, 1012, 1996, 3671, 2846, 2003, 2861, 1012, 1019, 1011, 1011, 3486, 1043, 1013, 21469, 1012, 16428, 2860, 2030, 2417, 3526, 4353, 9381, 2003, 16381, 2008, 5761, 8386, 1999, 2417, 2668, 2946, 2030, 2417, 2668, 3526, 3872, 1012, 1996, 4431, 8483, 2005, 16428, 2860, 2005, 4639, 2003, 2340, 1012, 1020, 1003, 1011, 1011, 2403, 1012, 1020, 1003, 1012, 9615, 1011, 1011, 1011, 1011, 1011, 1011, 12148, 12962, 6226, 2001, 2363, 2013, 1996, 9615, 2837, 1997, 1996, 2966, 4513, 1010, 7020, 16049, 1998, 4118, 4173, 2118, 1010, 29255, 1010, 3072, 11492, 1006, 2053, 1027, 6021, 1011, 13285, 2581, 1013, 1019, 1007, 1012, 6727, 9619, 2015, 2020, 4663, 2013, 1996, 3008, 1012, 7778, 4106, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 7778, 4106, 2004, 2864, 2478, 1996, 3274, 4007, 11867, 4757, 2005, 3645, 2544, 2403, 1012, 1014, 1006, 11867, 4757, 4297, 1012, 1010, 3190, 1010, 3915, 1007, 1012, 4106, 1997, 23284, 5387, 4818, 4106, 1998, 2695, 21929, 3674, 18539, 2020, 2109, 2000, 16157, 1996, 7784, 1997, 1996, 5966, 1012, 5966, 1999, 19173, 2020, 16578, 2478, 1996, 9610, 1011, 2675, 3231, 2030, 8731, 1005, 1055, 6635, 3231, 2043, 6413, 1012, 2035, 2951, 2020, 3591, 2004, 2812, 1006, 1081, 16150, 1007, 1012, 3463, 2020, 2641, 2000, 2022, 7778, 2135, 3278, 2043, 1008, 1052, 1008, 1011, 3643, 2001, 2625, 2084, 1014, 1012, 5709, 1006, 1008, 1052, 1008, 1032, 1026, 1014, 1012, 5709, 1007, 1012, 3463, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 19610, 10610, 27179, 11709, 1999, 3767, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 2812, 3643, 1998, 3115, 24353, 2015, 2005, 2236, 2838, 1006, 2287, 1010, 4578, 1998, 3635, 1007, 1998, 19610, 10610, 27179, 11709, 1006, 21144, 6169, 1011, 2417, 2668, 4442, 1025, 1044, 2497, 1011, 19610, 8649, 4135, 8428, 1010, 16731, 2102, 1011, 1011, 19610, 10610, 26775, 4183, 1025, 1998, 19610, 10610, 9966, 29299, 1024, 11338, 2615, 1010, 11338, 2232, 1010, 11338, 16257, 1998, 16428, 2860, 1007, 2005, 2177, 1997, 3287, 6818, 1006, 1050, 1027, 11212, 1007, 2024, 3591, 1999, 1031, 2795, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 2035, 11709, 2024, 3491, 2005, 2274, 2287, 2367, 20576, 2015, 1012, 2152, 7778, 2135, 3278, 4489, 2003, 2179, 2005, 2035, 2236, 2838, 1997, 6818, 1024, 2287, 1010, 4578, 1010, 1998, 3635, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 2236, 6459, 1998, 19610, 10610, 27179, 11709, 1997, 1996, 3287, 6818, 1006, 1022, 1011, 1011, 2324, 1061, 2099, 1010, 1050, 1027, 11212, 1007, 2005, 2287, 2367, 20576, 2015, 1008, 1008, 1008, 3287, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 10790, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 12521, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 16932, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 16048, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 15136, 1008, 1008, 1008, 1008, 1008, 1008, 1052, 1011, 3643, 1008, 1008, 1008, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1017, 10250, 1012, 7605, 4464, 2620, 1006, 3359, 1007, 28245, 1052, 1012, 14134, 26839, 3938, 10250, 1012, 1054, 13876, 2099, 1012, 3438, 2620, 7625, 5427, 2194, 1997, 2047, 2259, 3802, 2632, 1012, 1010, 9964, 2545, 1010, 1058, 1012, 1996, 6020, 2457, 1997, 26234, 11960, 2221, 1010, 6869, 4765, 1025, 1042, 5063, 4291, 2089, 1010, 2613, 2283, 1999, 3037, 1012, 8946, 3388, 2053, 1012, 1055, 1012, 1042, 1012, 21489, 25746, 1012, 4259, 2457, 1997, 2662, 1012, 1999, 2924, 1012, 2255, 2756, 1010, 3359, 1012, 1008, 4278, 9517, 2146, 1004, 11902, 2102, 1010, 14324, 1059, 1012, 11902, 2102, 1010, 5125, 1038, 1012, 11902, 2102, 1010, 2198, 1038, 1012, 8103, 1998, 4459, 1044, 1012, 3165, 2005, 9964, 2545, 1012, 2053, 3311, 2005, 6869, 4765, 1012, 9762, 1010, 4079, 1004, 19479, 2063, 1010, 9762, 1010, 5954, 1010, 4079, 1004, 19479, 2063, 1010, 2198, 1042, 1012, 7051, 1998, 1058, 1012, 2508, 2990, 2140, 2005, 2613, 2283, 1999, 3037, 1012, 5448, 23680, 5358, 2497, 1010, 1046, 1012, 2011, 2023, 9964, 2005, 1037, 25697, 1997, 11405, 1010, 9964, 2545, 1006, 2182, 3981, 6199, 2121, 3615, 2000, 2004, 1000, 1996, 16021, 27595, 2015, 1000, 1007, 6148, 2000, 4012, 11880, 6869, 4765, 2457, 2000, 2275, 4998, 2019, 2344, 12436, 18252, 2019, 10439, 14995, 12002, 2400, 1012, 1996, 3043, 2003, 2077, 2149, 2006, 2019, 4522, 25697, 3843, 2011, 1996, 2457, 1997, 5574, 1012, 2613, 2283, 1999, 3037, 1006, 2182, 3981, 6199, 2121, 3615, 2000, 2004, 1000, 1996, 16021, 12165, 1000, 1007, 2003, 1996, 3954, 1997, 1037, 3309, 2311, 1010, 2029, 2038, 1037, 4189, 3006, 3643, 1010, 13343, 1996, 3643, 1997, 1996, 2455, 1010, 1997, 1002, 3515, 1010, 2199, 1012, 3188, 2000, 1996, 2543, 3279, 2029, 4504, 1999, 2023, 15382, 1010, 1996, 16021, 12165, 2018, 3734, 2013, 1996, 16021, 27595, 2015, 2543, 5427, 6043, 2517, 1999, 1996, 2662, 3115, 2433, 16250, 2011, 2930, 19843, 2487, 1997, 1996, 5427, 3642, 1012, 1996, 6043, 4838, 2019, 1000, 2779, 11075, 1010, 1000, 4346, 2005, 1037, 10817, 3686, 7312, 1997, 2151, 3279, 4983, 1996, 2311, 2001, 16021, 12165, 2000, 3963, 3867, 1997, 2049, 1000, 5025, 5356, 3643, 1012, 1000, 1031, 1015, 1033, 1996, 6043, 2020, 2517, 1999, 1996, 2561, 3815, 1997, 1002, 3429, 1010, 2199, 1010, 2029, 2003, 3155, 3963, 3867, 1997, 1996, 4189, 3006, 3643, 1997, 1996, 2311, 1012, 1008, 22649, 1996, 4243, 3530, 2008, 1996, 3815, 1997, 1996, 3279, 2001, 1002, 2484, 1010, 9402, 1012, 5709, 1006, 1002, 2423, 1010, 3963, 2475, 1012, 5709, 1010, 1996, 3465, 1997, 10315, 1010, 2625, 1002, 1015, 1010, 5174, 2488, 3672, 1007, 1012, 1996, 16021, 27595, 2015, 1010, 2174, 1010, 4188, 2000, 3477, 2008, 3815, 1010, 27481, 2075, 2008, 1996, 3200, 2001, 12381, 2104, 7076, 12165, 2429, 2000, 1996, 2779, 11075, 1012, 2037, 3399, 2001, 2008, 1000, 5025, 5356, 3643, 1010, 1000, 2004, 2109, 1999, 1996, 3343, 1010, 2515, 2025, 2812, 4189, 3006, 3643, 1010, 2021, 2965, 1996, 6110, 3465, 1997, 1996, 2311, 2625, 2139, 28139, 23247, 1012, 1996, 6110, 3465, 2625, 1037, 9608, 2139, 28139, 23247, 5387, 2003, 3155, 1002, 10894, 1010, 2199, 1012, 1996, 16021, 12165, 27481, 2098, 2008, 1996, 2311, 2001, 12949, 16021, 12165, 1010, 27644, 2008, 1996, 1000, 5025, 5356, 3643, 1000, 3615, 2000, 1999, 1996, 3343, 2965, 4189, 3006, 3643, 1012, 2588, 5157, 2011, 1996, 16021, 27595, 2015, 1010, 10439, 14995, 8043, 2015, 2020, 2805, 1010, 27081, 2000, 1996, 15201, 10439, 14995, 12002, 11075, 4838, 1999, 1996, 3343, 1010, 2005, 1996, 3800, 1997, 2383, 2068, 5646, 1996, 5025, 5356, 3643, 1997, 1996, 2311, 1012, 1031, 1016, 1033, 1996, 10439, 14995, 8043, 2015, 1010, 2044, 2070, 18185, 2426, 3209, 1010, 3970, 1996, 16021, 27595, 2015, 1005, 18974, 2008, 1996, 2744, 1000, 5025, 5356, 3643, 1000, 2965, 6110, 3465, 2625, 2139, 28139, 23247, 1997, 1996, 2311, 1010, 1998, 4340, 2006, 2008, 3978, 2008, 1996, 5025, 5356, 3643, 1997, 1996, 2311, 2001, 1002, 18582, 1010, 5139, 2581, 1012, 2028, 1997, 1996, 10439, 14995, 8043, 2015, 9174, 4340, 2008, 1996, 4189, 3006, 3643, 1997, 1996, 2311, 2001, 1002, 3515, 1010, 2199, 1012, 2013, 1996, 10439, 14995, 8043, 2015, 1005, 9128, 2008, 1996, 5025, 5356, 3643, 2001, 1002, 18582, 1010, 5139, 2581, 1010, 1996, 16021, 27595, 2015, 3253, 2000, 3477, 1002, 2184, 1010, 16666, 2004, 2037, 10817, 1997, 1996, 1002, 2484, 1010, 9402, 1012, 5709, 3279, 8760, 1012, 1031, 1017, 1033, 1996, 16021, 12165, 5837, 1996, 3749, 1998, 22527, 6869, 4765, 2457, 2104, 2930, 11899, 2629, 1997, 1996, 3642, 1997, 2942, 7709, 2000, 12436, 16280, 1996, 10439, 14995, 12002, 2400, 1012, 1031, 1018, 1033, 1996, 3350, 2077, 6869, 4765, 2457, 2511, 9530, 23633, 2135, 2008, 1996, 10439, 14995, 8043, 2015, 2018, 4340, 2004, 1037, 3043, 1997, 2375, 2008, 1996, 3277, 2077, 2068, 2001, 1996, 1000, 6110, 3465, 2625, 2139, 28139, 23247, 1000, 1997, 1996, 2311, 1010, 1998, 2008, 1999, 7194, 2012, 1996, 3643, 3205, 1999, 2037, 2400, 2004, 1000, 5356, 3643, 1010, 1000, 2027, 4188, 2000, 5136, 3318, 1010, 3295, 1010, 2030, 2151, 2060, 7882, 5387, 25069, 2000, 2265, 1008, 28048, 1996, 4189, 3006, 3643, 1997, 1996, 3200, 1010, 2750, 1996, 2755, 2008, 2107, 3350, 2001, 2081, 2800, 2005, 2037, 2224, 1012, 2241, 2588, 2023, 4760, 1010, 6869, 4765, 2457, 3641, 2008, 1996, 2400, 2022, 15348, 27081, 2000, 2930, 11899, 2575, 1012, 1016, 1010, 22095, 1006, 1040, 1007, 1998, 1006, 1041, 1007, 1010, 1997, 1996, 3642, 1997, 2942, 7709, 1010, 2947, 4531, 2011, 25323, 1006, 1015, 1007, 2008, 1996, 10439, 14995, 8043, 2015, 2018, 14872, 2037, 4204, 2011, 29411, 10561, 1037, 3160, 1997, 2375, 1006, 1996, 3574, 1997, 1000, 5025, 5356, 3643, 1000, 1007, 1010, 2029, 2027, 2018, 2025, 2042, 9362, 2000, 5630, 1010, 1998, 1006, 1016, 1007, 2008, 1996, 16021, 12165, 2018, 2042, 12381, 18024, 2094, 2011, 1996, 13948, 1997, 1996, 10439, 14995, 8043, 2015, 2000, 5136, 3430, 3350, 1012, 6869, 4765, 2457, 1010, 1999, 13063, 1037, 2117, 10439, 14995, 12002, 1010, 2856, 2008, 2047, 10439, 14995, 8043, 2015, 1000, 12666, 1996, 3115, 6210, 1997, 4189, 3006, 3643, 1010, 2029, 2003, 22594, 2007, 1996, 1036, 5025, 5356, 3643, 1005, 1999, 2056, 5427, 3343, 1010, 8419, 1010, 1996, 3976, 2008, 1037, 5627, 17634, 2052, 3477, 1037, 5627, 14939, 1010, 4445, 2108, 2104, 2151, 27638, 2000, 5271, 2030, 4965, 1012, 1000, 1006, 1015, 1007, 3980, 1024, 2034, 1012, 2106, 1996, 10439, 14995, 8043, 2015, 1010, 1999, 12515, 1996, 1000, 5025, 5356, 3643, 1000, 1997, 1996, 16021, 12165, 1005, 1055, 2311, 1010, 7919, 2224, 1000, 6110, 3465, 2625, 2139, 28139, 23247, 1000, 1029, 2053, 1012, 1000, 5025, 5356, 3643, 1010, 1000, 2004, 2109, 1999, 2930, 19843, 2487, 1997, 1996, 5427, 3642, 1010, 2003, 22594, 2007, 1000, 4189, 3006, 3643, 1012, 1000, 1006, 2156, 3235, 1058, 1012, 2110, 3888, 14163, 2102, 1012, 8285, 1012, 16021, 1012, 2522, 1012, 1010, 3263, 10250, 1012, 10439, 1012, 14134, 3429, 2683, 1010, 21064, 1031, 2539, 10250, 1012, 1054, 13876, 2099, 1012, 4029, 2549, 1033, 1025, 8099, 1058, 1012, 18854, 16021, 1012, 2522, 1012, 1010, 20713, 10250, 1012, 10439, 1012, 14134, 23688, 1010, 22898, 1011, 23254, 1031, 2324, 10250, 1012, 1054, 13876, 2099, 1012, 13757, 1033, 1012, 1007, 2947, 1010, 1999, 3235, 1010, 1996, 2457, 1997, 5574, 1010, 1999, 9530, 3367, 6820, 2075, 1996, 2930, 1010, 2056, 1024, 1000, 1996, 3279, 3477, 3085, 2006, 2019, 5427, 3343, 2003, 2025, 1996, 3465, 1997, 1996, 2482, 2000, 23953, 2021, 2049, 4189, 3006, 3643, 2074, 3188, 2000, 2049, 6215, 1012, 1000, 1006, 1052, 1012, 21064, 1012, 1007, 1006, 1016, 1007, 2009, 2003, 3154, 2008, 1996, 6372, 2106, 2025, 13566, 1996, 2744, 1000, 5025, 5356, 3643, 1000, 1999, 1996, 3115, 3343, 2433, 1010, 2275, 5743, 1999, 2930, 19843, 2487, 1997, 1996, 5427, 3642, 1010, 2000, 2812, 6110, 3465, 2625, 2139, 28139, 23247, 1012, 1996, 2744, 3544, 2025, 2069, 1999, 1996, 2779, 11075, 1010, 2182, 3981, 5092, 3726, 3615, 2000, 1010, 2021, 2036, 1999, 1996, 16021, 12228, 11075, 1998, 2442, 2022, 2445, 1996, 2168, 3574, 1999, 2119, 1012, 1996, 3732, 11075, 16021, 14900, 1000, 2000, 1996, 6698, 1997, 1996, 5025, 5356, 3643, 1997, 1996, 3200, 2012, 1996, 2051, 1997, 3279, 1010, 2021, 2025, 17003, 1996, 1012, 1012, 1012, 3465, 2000, 7192, 2030, 5672, 1996, 3200, 1012, 1012, 1012, 1012, 1000, 2144, 6110, 3465, 2625, 2139, 28139, 23247, 2064, 2196, 13467, 6110, 3465, 1010, 2009, 2052, 2025, 2022, 11177, 2000, 17841, 2023, 11075, 2000, 2812, 1000, 2000, 1996, 6698, 1997, 1996, 6110, 3465, 2625, 2139, 28139, 23247, 1010, 2021, 2025, 17003, 1996, 1012, 1012, 1012, 3465, 2000, 7192, 2030, 5672, 1996, 3200, 1012, 1000, 1006, 19408, 2794, 1012, 1007, 2065, 1000, 5025, 5356, 3643, 1000, 2018, 2042, 3832, 2000, 2812, 6110, 3465, 2625, 2139, 28139, 23247, 1010, 1996, 6372, 2052, 2025, 2031, 2109, 1000, 1996, 3465, 2000, 1012, 1012, 1012, 5672, 1996, 3200, 1000, 2004, 1037, 14879, 5387, 1010, 1998, 2052, 2031, 9675, 2004, 1037, 14879, 5387, 2069, 1996, 3465, 2000, 7192, 1996, 3200, 1012, 1008, 28203, 1006, 23842, 1007, 2117, 1012, 2106, 6869, 4765, 2457, 2552, 7919, 1999, 12436, 18252, 1996, 10439, 14995, 12002, 2400, 2138, 1996, 10439, 14995, 8043, 2015, 2241, 1996, 2400, 2006, 1037, 28616, 8663, 24422, 1997, 1996, 2375, 1029, 2748, 1012, 2348, 12098, 16313, 16259, 2015, 2024, 4703, 1010, 2011, 1996, 3408, 1997, 1996, 3820, 4346, 2005, 18010, 1010, 3391, 1999, 2810, 8311, 1010, 2445, 5041, 4204, 1006, 2156, 1010, 1041, 1012, 1043, 1012, 1010, 6291, 2050, 1058, 1012, 16913, 15668, 1011, 15159, 1010, 4297, 1012, 1010, 16327, 10250, 1012, 10439, 1012, 14134, 1023, 1010, 2340, 1031, 2603, 10250, 1012, 1054, 13876, 2099, 1012, 2382, 1033, 1010, 2073, 1996, 3206, 3024, 2008, 2151, 6704, 2030, 4447, 17707, 2041, 1997, 1996, 3206, 2020, 2000, 2022, 3876, 2011, 18010, 1007, 1010, 10439, 14995, 8043, 2015, 3227, 2031, 2062, 3132, 4204, 1012, 1006, 1018, 1007, 2004, 3090, 1999, 8099, 1058, 1012, 18854, 16021, 1012, 2522, 1012, 1010, 10514, 18098, 2050, 1010, 20713, 10250, 1012, 10439, 1012, 14134, 23688, 1010, 23254, 1031, 1023, 1033, 1024, 1000, 1996, 3853, 1997, 10439, 14995, 8043, 2015, 2003, 2000, 5646, 1996, 3815, 1997, 4053, 4525, 2000, 2536, 5167, 7864, 2005, 2037, 9584, 1012, 2009, 2003, 5121, 2025, 2037, 3853, 2000, 10663, 3980, 1997, 6325, 1998, 17841, 8910, 1997, 1996, 3343, 1012, 1000, 1006, 1017, 2497, 1007, 2947, 1010, 1999, 1996, 2556, 2553, 1996, 10439, 14995, 8043, 2015, 2020, 9362, 2000, 5646, 2069, 1037, 3160, 1997, 2755, 1010, 8419, 1010, 1996, 5025, 5356, 3643, 1997, 1996, 16021, 12165, 2311, 1012, 1006, 1019, 1007, 2144, 1996, 3350, 3065, 2008, 1996, 10439, 14995, 8043, 2015, 28616, 18447, 2121, 28139, 3064, 1996, 3574, 1997, 1000, 5025, 5356, 3643, 1000, 1998, 3568, 3478, 2000, 5630, 1996, 25854, 3277, 7864, 2000, 2068, 1010, 1996, 16021, 12165, 7919, 24959, 1996, 7360, 1997, 6869, 4765, 2457, 2000, 12436, 16280, 1996, 2400, 1998, 2344, 1037, 2128, 26560, 2075, 1012, 1006, 12935, 1012, 5297, 1058, 1012, 6970, 7076, 25863, 3863, 1010, 17528, 10250, 1012, 10439, 1012, 14134, 6191, 2575, 1010, 4185, 2475, 1010, 4185, 2549, 1031, 3770, 10250, 1012, 1054, 13876, 2099, 1012, 23380, 1033, 1012, 1007, 2004, 3090, 1999, 6240, 16343, 2015, 2334, 2053, 1012, 4724, 2683, 1058, 1012, 21583, 10243, 1012, 1010, 4297, 1012, 1010, 19609, 10250, 1012, 10439, 1012, 14134, 3263, 1010, 19627, 1031, 1020, 1033, 1031, 1022, 10250, 1012, 1054, 13876, 2099, 1012, 6275, 2683, 1033, 1024, 1000, 1012, 1012, 1012, 2009, 2003, 1999, 1996, 9128, 1997, 3251, 1037, 2787, 3277, 2001, 7919, 2077, 1996, 12098, 16313, 16259, 2030, 2019, 3277, 2077, 2032, 2001, 2025, 2787, 1010, 2008, 1996, 3820, 2030, 2344, 1997, 12339, 4212, 2104, 1996, 17423, 1997, 1996, 2457, 1012, 1000, 1006, 19408, 2794, 1012, 1007, 1006, 1020, 1007, 2073, 2019, 10439, 14995, 12002, 2400, 2003, 2241, 2588, 1037, 28616, 8663, 24422, 1997, 1996, 2375, 1010, 2023, 2755, 2089, 2022, 4928, 2000, 1996, 2457, 2011, 4654, 18886, 3619, 2594, 3350, 1010, 2164, 1037, 8170, 1997, 2028, 1997, 1996, 10439, 14995, 8043, 2015, 1012, 1996, 8170, 1997, 2019, 10439, 14995, 8043, 2003, 7919, 2363, 2000, 2265, 2054, 1996, 10439, 14995, 8043, 2015, 2641, 1996, 3277, 2000, 2022, 1010, 2005, 1996, 3800, 1997, 12515, 3251, 2027, 14872, 2037, 4204, 2011, 2437, 2019, 7561, 1997, 2375, 1012, 1006, 2156, 20066, 2361, 1012, 1058, 1012, 6436, 2078, 8151, 1010, 4090, 10250, 1012, 14134, 4868, 2629, 1010, 4720, 2509, 1031, 18164, 1052, 1012, 14134, 22115, 1033, 1025, 5297, 1058, 1012, 6970, 7076, 25863, 3863, 1010, 10514, 18098, 2050, 1010, 17528, 10250, 1012, 10439, 1012, 14134, 6191, 2575, 1010, 4185, 2475, 1011, 4185, 2509, 1012, 1007, 1996, 4522, 25697, 2003, 14374, 1010, 1998, 1996, 9964, 2005, 1037, 23976, 27718, 10253, 25697 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4281, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2002, 4502, 3406, 16882, 2482, 21081, 2863, 1006, 16731, 2278, 1007, 2003, 1996, 2087, 2691, 2828, 1997, 11290, 4456, 1032, 1031, 1031, 1030, 29491, 1033, 1032, 1033, 1998, 2536, 17261, 7047, 2031, 2042, 2764, 2011, 7995, 2006, 1996, 3563, 10722, 20360, 2754, 1998, 2002, 24952, 2278, 8360, 3914, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1011, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1012, 1037, 3528, 1997, 9099, 24847, 14482, 13441, 2031, 2042, 3024, 2000, 3572, 2012, 4659, 3935, 5711, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1032, 1033, 1010, 1998, 2122, 13441, 2020, 5560, 4055, 2046, 1996, 2206, 2093, 2967, 1024, 25283, 1011, 18906, 3334, 4818, 18178, 5302, 6633, 14956, 3989, 1006, 11937, 3401, 1007, 1010, 9099, 24847, 14482, 3514, 2100, 18178, 5302, 6633, 14956, 3989, 1006, 2000, 3401, 1007, 1998, 9099, 24847, 14482, 27144, 1006, 11937, 2278, 1007, 1010, 2241, 2006, 1996, 16593, 1997, 28440, 2002, 24952, 2278, 3914, 1012, 11937, 3401, 7336, 2002, 24952, 2278, 25543, 13341, 2015, 1997, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 4117, 2007, 7861, 14956, 6026, 4475, 1012, 2000, 3401, 2003, 9578, 2019, 25543, 3447, 1997, 1037, 5257, 1997, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 1998, 3514, 2100, 5688, 5396, 1997, 5423, 3695, 3527, 2140, 11087, 8331, 1006, 5911, 19739, 2121, 20915, 1010, 8740, 19666, 4710, 1011, 27411, 1011, 19651, 1010, 2605, 1007, 1010, 2096, 1999, 11937, 2278, 1010, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 2894, 2024, 29592, 2083, 1996, 2002, 24952, 2278, 16749, 1012, 2348, 11937, 3401, 2003, 2069, 1037, 9099, 24847, 14482, 7709, 1010, 2005, 2029, 17261, 21150, 2038, 2042, 4928, 1999, 6721, 5084, 17464, 4758, 2913, 1010, 1996, 26118, 1997, 2002, 24952, 2278, 3914, 2003, 4358, 2012, 2322, 1003, 1011, 1011, 5388, 1003, 1010, 3701, 2138, 1997, 2003, 7507, 23238, 2278, 4053, 2000, 1996, 2512, 11667, 8162, 3560, 4281, 11290, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1010, 1031, 1030, 29491, 2487, 1033, 1032, 1033, 1010, 1999, 7512, 4892, 1037, 3020, 3891, 1997, 4895, 7011, 6767, 23086, 7312, 1999, 2002, 24952, 2278, 3914, 3853, 1999, 3572, 2007, 3532, 2002, 24952, 2278, 3914, 1012, 3568, 1010, 2000, 4503, 1037, 3647, 1998, 8114, 9099, 24847, 14482, 17261, 7709, 1999, 2107, 3572, 1010, 2060, 4621, 2965, 1997, 4488, 2000, 3401, 1010, 11937, 2278, 1010, 1998, 2000, 3401, 1009, 11937, 2278, 2031, 2042, 7718, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 29491, 2475, 1033, 1011, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1012, 11937, 3401, 1998, 2000, 3401, 2020, 3728, 4102, 1999, 1037, 6721, 5084, 4403, 3523, 3979, 2478, 1062, 5740, 9153, 7629, 2358, 9581, 10278, 2121, 8314, 1999, 5423, 3695, 3527, 2140, 1032, 1031, 1031, 1030, 29491, 2475, 1033, 1032, 1033, 2007, 4745, 25543, 7861, 14956, 3989, 1006, 11937, 3401, 1007, 2030, 2302, 7861, 14956, 3989, 1006, 2000, 3401, 1007, 1012, 5875, 2135, 1010, 1996, 3463, 3662, 2053, 7620, 1999, 7691, 6165, 2011, 4488, 7861, 14956, 3989, 1998, 2000, 3401, 3421, 2000, 2022, 1037, 17261, 5724, 2005, 16731, 2278, 5022, 2007, 2659, 2002, 24952, 2278, 3914, 1012, 2174, 1010, 2048, 2350, 5936, 2007, 2000, 3401, 2024, 1024, 1015, 1007, 1996, 4118, 1997, 11566, 2300, 1011, 2241, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 2007, 3514, 2100, 5423, 3695, 3527, 2140, 1999, 1037, 6540, 20219, 1025, 1998, 1016, 1007, 2008, 2000, 3401, 2003, 4039, 2000, 4539, 2898, 2181, 1997, 1996, 11290, 2004, 2009, 13416, 1996, 2002, 24952, 2278, 25543, 4834, 1010, 2348, 19943, 1010, 2008, 2089, 2765, 1999, 2002, 24952, 2278, 4945, 1012, 2005, 2034, 5142, 1010, 14719, 11514, 20051, 2378, 1010, 1037, 2353, 1011, 4245, 8899, 13819, 2007, 5423, 7361, 19466, 2594, 25175, 27405, 2008, 3596, 1037, 8636, 2007, 5423, 3695, 3527, 2140, 1010, 2001, 3728, 2764, 1998, 4844, 2005, 6612, 2224, 1999, 2900, 2004, 1037, 3117, 18178, 18938, 5886, 24065, 21823, 2278, 4005, 2005, 16731, 2278, 1032, 1031, 1031, 1030, 29491, 2575, 1033, 1011, 1031, 1030, 1038, 17465, 1033, 1032, 1033, 2007, 10015, 3463, 1032, 1031, 1031, 1030, 1038, 19317, 1033, 1011, 1031, 1030, 1038, 18827, 1033, 1032, 1033, 1012, 2005, 2117, 5142, 1010, 2004, 11937, 2278, 5942, 2053, 7861, 14956, 3989, 1010, 2008, 2064, 2022, 19737, 1999, 2898, 2181, 1998, 2049, 3424, 1011, 10722, 20360, 3466, 2038, 2042, 2988, 1999, 2195, 2913, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 29491, 2509, 1033, 1011, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1010, 2628, 2011, 1996, 10015, 3463, 2013, 1037, 4800, 13013, 2890, 4403, 2462, 2817, 1999, 5022, 2007, 4895, 6072, 22471, 3085, 16731, 2278, 2478, 20199, 24759, 20363, 1006, 3729, 18927, 1007, 1010, 1037, 2034, 1011, 4245, 8899, 4005, 1010, 1999, 2029, 1996, 3433, 3446, 2001, 2680, 2004, 3943, 1012, 1022, 1003, 1032, 1031, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1010, 2009, 2453, 2022, 4621, 2000, 7438, 2898, 2181, 1997, 1996, 11290, 2007, 3532, 2002, 24952, 2278, 3914, 3853, 1012, 1999, 2804, 1010, 1996, 2034, 1011, 3413, 20504, 2015, 1032, 1031, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 1997, 3729, 18927, 2011, 11937, 2278, 9002, 2000, 1996, 3424, 1011, 13656, 3466, 1998, 9885, 1996, 15316, 22575, 2824, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 2144, 3811, 8279, 3729, 18927, 9898, 2005, 11937, 2278, 1006, 20315, 2361, 1011, 1044, 1010, 24264, 1011, 2655, 1034, 1079, 1034, 1025, 19364, 10905, 4817, 2226, 2522, 1012, 1010, 5183, 1007, 2003, 2800, 1999, 2900, 1010, 11937, 2278, 2003, 2085, 4235, 2109, 1999, 2900, 2000, 7438, 3674, 2235, 10722, 20360, 2015, 2030, 5022, 2007, 3532, 2002, 24952, 2278, 3914, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 29491, 2509, 1033, 1010, 1031, 1030, 1038, 23833, 1033, 1032, 1033, 1012, 2241, 2006, 2122, 3463, 1998, 1996, 9849, 1999, 1996, 2458, 1997, 2047, 18178, 18938, 5886, 24065, 21823, 6169, 1010, 2009, 2003, 9608, 2000, 5136, 1996, 5257, 7242, 1997, 3729, 18927, 1011, 11937, 2278, 2007, 14719, 11514, 20051, 2378, 1011, 2000, 3401, 2000, 7438, 3935, 2754, 16731, 2278, 2007, 3532, 2002, 24952, 2278, 3914, 3853, 9689, 1998, 6464, 1012, 3568, 1010, 1999, 2023, 2817, 2057, 4146, 1037, 4403, 1045, 13004, 1011, 9686, 25015, 3508, 2817, 2006, 20315, 2361, 1011, 1044, 1011, 11937, 2278, 2628, 2011, 14719, 11514, 20051, 2378, 1011, 2000, 3401, 2000, 5646, 1996, 4555, 25775, 13004, 1006, 11047, 2094, 1007, 1998, 13004, 1011, 14879, 22423, 1006, 21469, 2102, 1007, 1999, 4895, 6072, 22471, 3085, 16731, 2278, 1012, 1996, 3808, 3277, 2007, 7634, 2000, 1996, 5257, 1997, 2048, 8899, 1011, 2241, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 2097, 2022, 6936, 2011, 28789, 1996, 6887, 27292, 22684, 4939, 16530, 2015, 1997, 8899, 1012, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5776, 4989, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5022, 2007, 16731, 2278, 2020, 2641, 7792, 2005, 1996, 2817, 2065, 2027, 16829, 1996, 2206, 9181, 1024, 2322, 1011, 1011, 3770, 2086, 1997, 2287, 1025, 2012, 2560, 2028, 2033, 28329, 10722, 20360, 16688, 2006, 17076, 26535, 1025, 2010, 3406, 9966, 2135, 1998, 1013, 2030, 6612, 2135, 11441, 16731, 2278, 1025, 2053, 2060, 17261, 3949, 2001, 2179, 2000, 2022, 4621, 2030, 6413, 2000, 2037, 4650, 1010, 2429, 2000, 1996, 2887, 11594, 2005, 16731, 2278, 3949, 1025, 2019, 2789, 10791, 2006, 19824, 2836, 3570, 1997, 1014, 1011, 1011, 1016, 1025, 11706, 2002, 24952, 2278, 3853, 1006, 2775, 1011, 1011, 16405, 5603, 1010, 3556, 1608, 2581, 1025, 2561, 12170, 3669, 6820, 8428, 1010, 1608, 2509, 1012, 1014, 11460, 1013, 21469, 1025, 2201, 2378, 1010, 1609, 2509, 1012, 1014, 1043, 1013, 21469, 1007, 1025, 11706, 5292, 14545, 3406, 9966, 3853, 1006, 11265, 4904, 18981, 19466, 2015, 1010, 1609, 2487, 1010, 3156, 1013, 3461, 1034, 1017, 1034, 1025, 5127, 13461, 1010, 1609, 12376, 1010, 2199, 1013, 3461, 1034, 1017, 1034, 1025, 5292, 6633, 8649, 4135, 8428, 1010, 1609, 2620, 1012, 1014, 1043, 1013, 21469, 1007, 1025, 11706, 25125, 3853, 1006, 13675, 5243, 7629, 3170, 14860, 1010, 1609, 12376, 19875, 1013, 8117, 10426, 2005, 1015, 1012, 6421, 1049, 1034, 1016, 1034, 1997, 2303, 3302, 2181, 1007, 1025, 20194, 6864, 25002, 1010, 1608, 16703, 2549, 1045, 2226, 1013, 21469, 1998, 2019, 13483, 1997, 1018, 3134, 2030, 2062, 2144, 3025, 7242, 1012, 2035, 7293, 16308, 2020, 2557, 9966, 2135, 11441, 2004, 16731, 2278, 2043, 2027, 8510, 2012, 2560, 2028, 1997, 1996, 2206, 9181, 2241, 2006, 14931, 2030, 27011, 1024, 5171, 5292, 6633, 7716, 18279, 22924, 1997, 4556, 16731, 2278, 1006, 6937, 22415, 2076, 25543, 4403, 2628, 2011, 1037, 9378, 5833, 2007, 1005, 21887, 1011, 2066, 1005, 15965, 22415, 1999, 14442, 4403, 1007, 1998, 2714, 6459, 1997, 24873, 9048, 16643, 3070, 7293, 16308, 2008, 2018, 2042, 11441, 2004, 16731, 2278, 1012, 2035, 7792, 16731, 2278, 3572, 2020, 28667, 29264, 2007, 1037, 2381, 1997, 3729, 18927, 3447, 1999, 2809, 5022, 1012, 5022, 2007, 1996, 2206, 6459, 2020, 2641, 22023, 1024, 5294, 20228, 11236, 2389, 1041, 4246, 14499, 1998, 1013, 2030, 2004, 17847, 2015, 25416, 22648, 7062, 2000, 3949, 1025, 3161, 4456, 2060, 2084, 16731, 2278, 1025, 3161, 16514, 4295, 1025, 3161, 5292, 6633, 2953, 25032, 22974, 2278, 2110, 1025, 5729, 5177, 8761, 1025, 2002, 24952, 2278, 4372, 3401, 21890, 4135, 20166, 1025, 2381, 1997, 27395, 4668, 2000, 22834, 10672, 4403, 5688, 1998, 1013, 2030, 8899, 6074, 1025, 7552, 6970, 7512, 2239, 7242, 1998, 7669, 2007, 8700, 2833, 13822, 1012, 2023, 2817, 2001, 4844, 2011, 1996, 12148, 3319, 2604, 1997, 9152, 13340, 2696, 2118, 2902, 1998, 2001, 5068, 2007, 1996, 2118, 2902, 2966, 2592, 2897, 6612, 7012, 15584, 1006, 8529, 2378, 1011, 14931, 2099, 2199, 8889, 19481, 23632, 1007, 1012, 2517, 6727, 9619, 2001, 4663, 2013, 2035, 5022, 1998, 1996, 2817, 8778, 23758, 2098, 2000, 1996, 12962, 8606, 1997, 1996, 3339, 8170, 1997, 12331, 1012, 4118, 1997, 3447, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3729, 18927, 9898, 1010, 20315, 2361, 1011, 1044, 1006, 19364, 10905, 4817, 2226, 2522, 1012, 1010, 5183, 1012, 5522, 1010, 2900, 1007, 1010, 2001, 14017, 12083, 21758, 1999, 28413, 2012, 1037, 6693, 1997, 2531, 11460, 1013, 3963, 19875, 3202, 2077, 2224, 1998, 29592, 2046, 1996, 2972, 11290, 2083, 1996, 5372, 2002, 24952, 2278, 16749, 2012, 1037, 3446, 1997, 14010, 19875, 1013, 1044, 1010, 4346, 1999, 2561, 3486, 11460, 1013, 1049, 1034, 1016, 1034, 1012, 2023, 2001, 2628, 2011, 2000, 3401, 2007, 14719, 11514, 20051, 2378, 1010, 4810, 2429, 2000, 1996, 8128, 1010, 2083, 1996, 26780, 6470, 1997, 1996, 4539, 10722, 20360, 2478, 1037, 29160, 13004, 4760, 7978, 11987, 9445, 9607, 2039, 2000, 1037, 3872, 1997, 1020, 19875, 1012, 2065, 2053, 21469, 2102, 2001, 2680, 1010, 1996, 2168, 6939, 2078, 2001, 3344, 2041, 2011, 4852, 20315, 2361, 1011, 1044, 2011, 2321, 11460, 1013, 1049, 1034, 1016, 1034, 1010, 2241, 2006, 1996, 6310, 10882, 11735, 6305, 6895, 4118, 1999, 2029, 21469, 2102, 2003, 4225, 2004, 15316, 2824, 1997, 3694, 1609, 2509, 1999, 2512, 25293, 18900, 10091, 2030, 3694, 1609, 2549, 1999, 5292, 14545, 3406, 9966, 22423, 1010, 2429, 2000, 1996, 13316, 2072, 1011, 14931, 3540, 2063, 2544, 1018, 1012, 1014, 1012, 2065, 2151, 1997, 1996, 2093, 5022, 3662, 2004, 2383, 21469, 2102, 1010, 2093, 2062, 5022, 2020, 8302, 1012, 11047, 2094, 2001, 13224, 2000, 2031, 2042, 14872, 2043, 2048, 5022, 3662, 21469, 2102, 1012, 11047, 2094, 2001, 4225, 2004, 1996, 4555, 13004, 2073, 2053, 2062, 2084, 2048, 1997, 1996, 2416, 5022, 5281, 21469, 2102, 1012, 2065, 2048, 2030, 2062, 3572, 2020, 2525, 6114, 2013, 21469, 2102, 2012, 1996, 3988, 13004, 1997, 3486, 11460, 1013, 1049, 1034, 1016, 1034, 1010, 2023, 13004, 2001, 4359, 2011, 2184, 11460, 1013, 1049, 1034, 1016, 1034, 2000, 2321, 11460, 1013, 1049, 1034, 1016, 1034, 1012, 9312, 1997, 3424, 1011, 10722, 20360, 3896, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3424, 1011, 10722, 20360, 3433, 2001, 16330, 2013, 14931, 4871, 4663, 2077, 1998, 1017, 2706, 2044, 3949, 1012, 9312, 2001, 2864, 1999, 10388, 2007, 1996, 6310, 3433, 9312, 9181, 1999, 5024, 21434, 1006, 28667, 2923, 1007, 5009, 4179, 1010, 1037, 2047, 3433, 9312, 9181, 1999, 5024, 10722, 20360, 2015, 1032, 1031, 1031, 1030, 1038, 22907, 1033, 1032, 1033, 1012, 1996, 10722, 20360, 16387, 1997, 21358, 2361, 1998, 5887, 2361, 2020, 2628, 2012, 6413, 2051, 6993, 2005, 2169, 5776, 1012, 8899, 6887 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6353, 2683, 1042, 1012, 10514, 9397, 1012, 2753, 2620, 1006, 2997, 1007, 1048, 1012, 1046, 1012, 1010, 2019, 10527, 1010, 2011, 1998, 2083, 2010, 2279, 2767, 1010, 14076, 23686, 18243, 2099, 1010, 3802, 2632, 1012, 1010, 23953, 1010, 1058, 1012, 7920, 3742, 28234, 1010, 4385, 1012, 1010, 3802, 2632, 1012, 1010, 16362, 1012, 25022, 2615, 1012, 2053, 1012, 1046, 2232, 1011, 6391, 1011, 17422, 2683, 1012, 2142, 2163, 2212, 2457, 1010, 1040, 1012, 5374, 1012, 2244, 2676, 1010, 2997, 1012, 1008, 2753, 2683, 2520, 1048, 1012, 24287, 1010, 19180, 27838, 7770, 17140, 1010, 1998, 1996, 3423, 4681, 4879, 1010, 4297, 1012, 1010, 6222, 1010, 9108, 1012, 1010, 8594, 1054, 1012, 2175, 27959, 7432, 1010, 1998, 1996, 2336, 1005, 1055, 3639, 4636, 1010, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 11265, 19510, 2102, 12872, 1010, 3781, 1012, 1010, 4829, 1038, 1012, 24873, 1010, 3523, 1010, 1998, 2317, 3877, 1010, 4202, 1004, 8475, 1010, 6222, 1010, 9108, 1012, 1010, 2005, 23953, 1012, 1046, 1012, 3312, 19649, 1010, 3781, 1012, 1010, 2012, 3723, 1012, 8991, 1012, 1997, 5374, 1010, 6615, 1049, 1012, 22378, 1998, 2928, 1046, 1012, 4482, 1010, 4632, 2102, 1012, 2012, 3723, 2015, 1012, 8991, 1012, 1010, 6222, 1010, 9108, 1012, 1010, 2005, 16362, 1012, 20336, 3312, 1039, 1012, 4922, 1010, 2212, 3648, 1012, 14223, 2077, 1996, 2457, 2003, 2023, 2942, 2916, 2465, 2895, 2716, 2011, 6469, 2336, 1999, 1996, 2729, 1998, 9968, 1997, 1996, 6222, 2103, 2533, 1997, 2591, 2578, 1006, 1000, 4647, 5104, 2015, 1000, 1007, 1012, 2315, 2004, 16362, 2024, 7920, 3742, 28234, 1010, 3187, 1997, 5374, 1005, 1055, 2533, 1997, 2529, 4219, 1010, 4647, 5104, 2015, 1010, 1998, 2536, 6469, 1011, 2729, 4584, 1012, 2122, 2336, 2035, 24746, 2008, 1996, 16362, 1005, 3447, 1997, 1996, 6469, 2729, 2291, 1999, 6222, 2103, 23640, 2015, 2037, 2916, 2104, 2976, 15201, 2375, 1010, 4486, 4921, 1011, 1041, 1998, 4921, 1011, 1038, 1997, 1996, 2591, 3036, 2552, 1010, 1998, 1996, 15276, 7450, 2000, 1996, 2142, 2163, 4552, 1012, 1996, 2465, 11014, 1041, 28298, 4335, 1999, 1996, 2433, 1997, 2019, 27352, 22928, 2008, 2052, 5478, 8818, 1997, 1996, 6469, 2729, 2291, 1012, 1999, 2804, 2000, 2122, 1041, 28298, 4447, 1010, 2070, 2315, 2465, 4505, 6148, 12194, 12394, 2005, 7386, 2015, 9382, 4265, 2096, 1999, 1996, 16362, 1005, 2729, 1012, 1996, 6234, 3043, 2104, 9584, 2003, 3251, 1037, 9619, 10037, 3818, 2011, 1996, 4243, 2004, 4093, 1997, 1996, 1041, 28298, 4447, 2003, 4189, 1998, 11706, 1998, 8558, 22617, 1996, 2457, 1005, 1055, 6226, 1012, 1031, 1015, 1033, 2044, 1996, 3818, 10037, 2001, 7864, 2006, 2258, 2656, 1010, 2997, 1010, 1996, 2457, 2777, 2007, 1996, 4243, 1010, 2856, 2008, 5060, 2022, 3024, 1996, 2465, 2372, 1998, 4699, 5381, 1010, 2218, 1037, 4994, 2012, 2029, 2216, 3024, 5060, 2020, 4778, 2000, 2556, 17304, 2030, 7928, 1010, 1998, 2777, 2007, 6469, 2729, 3667, 2000, 4553, 2037, 5328, 1997, 1996, 10037, 1012, 2044, 6503, 1997, 2122, 5761, 1998, 6176, 2817, 1997, 1996, 10037, 1010, 1996, 2457, 14300, 2015, 1996, 10037, 2005, 1996, 4436, 3024, 2917, 1012, 1008, 23475, 1045, 1012, 1996, 2381, 1997, 2023, 2895, 2003, 2146, 1998, 12098, 8566, 3560, 1012, 2144, 1996, 12087, 2001, 6406, 1999, 2285, 1010, 3118, 1010, 1996, 2457, 2038, 3843, 2058, 10920, 4449, 1998, 2218, 1037, 6474, 3570, 9281, 2007, 1996, 4243, 1012, 1996, 8946, 3388, 1010, 2085, 9171, 5530, 2146, 1010, 7201, 2058, 2048, 3634, 10445, 1012, 2006, 2254, 1016, 1010, 3055, 1010, 1996, 2457, 4379, 1037, 4367, 2000, 18793, 2008, 2018, 2042, 6406, 1996, 3025, 2281, 2011, 2048, 3176, 3818, 2465, 4505, 1012, 2008, 2168, 2154, 1996, 2457, 7378, 1037, 2465, 3605, 1997, 2035, 2336, 2040, 2024, 1010, 2031, 2042, 1010, 2030, 2097, 2022, 2872, 1999, 6469, 5014, 2011, 1996, 4647, 5104, 2015, 1998, 2024, 2030, 2097, 2022, 2872, 1999, 1996, 9968, 1997, 1996, 4647, 5104, 2015, 2083, 10758, 11073, 2030, 2457, 2344, 1012, 2006, 2337, 1020, 1010, 2044, 9283, 4866, 5456, 1010, 2164, 1037, 6721, 16227, 1997, 4647, 5104, 2015, 6469, 2729, 2553, 2636, 1010, 1996, 23953, 6406, 1037, 4367, 2005, 1037, 8824, 22928, 1012, 1037, 4994, 2006, 1996, 4367, 2001, 2218, 2058, 1037, 2558, 1997, 2048, 3134, 25819, 2006, 2258, 1016, 1010, 3055, 1012, 2070, 6205, 3584, 5167, 1997, 3350, 2020, 3107, 1010, 1998, 1996, 2457, 2657, 2013, 2260, 9390, 1012, 2426, 1996, 5167, 1997, 3350, 2020, 1996, 8824, 3463, 1997, 23953, 1005, 6721, 16227, 1997, 2553, 2636, 1010, 4838, 1999, 2195, 4317, 6065, 19213, 14187, 2545, 1012, 1996, 9390, 2443, 2019, 6739, 2006, 1996, 2470, 16134, 2109, 1999, 9283, 1996, 23953, 1005, 2817, 1012, 1031, 1016, 1033, 1996, 2457, 2036, 2657, 1996, 10896, 1997, 9064, 1998, 8519, 4953, 1996, 3572, 1997, 7032, 2336, 2040, 2018, 2042, 8949, 15486, 1998, 16999, 2096, 1999, 16362, 1005, 2729, 1998, 9968, 1012, 1996, 2457, 2179, 10827, 3350, 1997, 3809, 11778, 13366, 28227, 1999, 6222, 1005, 1055, 6469, 2729, 2565, 2107, 2008, 6469, 2336, 2052, 9015, 20868, 2890, 28689, 3468, 7386, 2065, 6234, 1999, 19792, 15277, 4335, 2020, 2025, 4379, 1998, 1010, 1999, 1037, 20336, 1998, 2344, 3843, 2251, 2676, 1010, 3055, 1010, 4379, 23953, 1005, 4367, 2005, 1037, 8824, 22928, 1012, 1031, 1017, 1033, 4919, 1010, 2426, 2049, 9556, 1010, 1996, 2457, 4340, 2008, 2045, 2001, 1037, 3768, 1997, 23045, 6469, 5014, 1025, 2008, 1996, 16362, 3478, 2000, 6366, 2336, 2013, 5014, 2073, 3558, 1998, 6832, 6905, 1998, 19046, 2020, 5561, 1025, 2008, 5014, 2020, 7000, 2073, 6469, 3008, 2020, 4039, 2000, 2729, 7919, 2005, 1996, 2336, 1025, 2008, 1000, 11790, 1000, 2020, 4379, 4352, 4415, 14710, 5014, 2000, 3961, 2330, 1025, 2008, 1996, 2291, 2005, 4346, 2966, 2729, 2000, 6469, 2336, 2001, 14710, 2000, 5676, 7142, 1998, 6727, 3949, 1025, 1998, 2008, 1996, 16362, 2018, 12381, 3478, 2000, 16617, 1996, 8377, 6749, 2011, 2019, 4722, 2817, 2550, 2011, 1996, 1000, 5671, 4708, 2486, 1012, 1000, 2004, 8824, 1999, 19792, 15277, 4335, 1010, 1996, 16362, 2020, 3641, 2000, 1006, 1015, 1007, 3319, 1996, 3570, 1997, 2169, 6469, 2188, 2073, 2045, 2018, 2042, 1037, 3189, 1997, 15451, 7913, 4017, 3672, 1025, 1006, 1016, 1007, 3942, 2169, 2775, 1999, 1037, 4647, 5104, 2015, 6469, 2188, 2006, 1037, 7058, 3978, 1025, 1006, 1017, 1007, 3942, 2169, 2775, 2040, 2018, 2042, 1996, 3395, 1997, 1037, 3189, 1997, 15451, 7913, 4017, 3672, 2006, 1037, 4882, 3978, 1025, 1006, 1018, 1007, 23911, 7182, 3095, 1998, 4219, 2000, 5676, 6413, 2966, 2729, 2001, 10155, 1998, 2966, 15215, 2020, 4663, 1998, 3024, 2000, 2216, 14259, 2966, 2729, 2000, 2169, 2775, 1025, 1998, 1006, 1019, 1007, 3073, 1037, 2517, 6100, 1997, 2151, 12087, 1997, 15451, 7913, 4017, 3672, 1997, 1037, 6469, 2775, 2000, 1996, 11799, 2457, 1998, 1996, 2775, 1005, 1055, 4905, 1012, 2006, 2337, 1015, 1010, 2997, 1010, 1996, 2959, 4984, 19768, 2023, 2457, 1005, 1055, 3247, 2000, 3946, 23953, 1037, 8824, 22928, 1012, 2156, 1048, 1012, 1046, 1012, 2011, 1998, 2083, 18243, 2099, 1058, 1012, 3742, 28234, 1010, 1008, 4868, 2487, 6640, 2620, 1042, 1012, 14134, 12963, 1006, 4343, 25022, 2099, 1012, 2997, 1007, 1012, 1031, 1018, 1033, 6920, 1010, 1996, 4243, 5117, 1999, 4866, 4093, 7776, 1012, 2006, 2258, 2656, 1010, 2997, 1010, 3155, 2048, 1998, 1037, 2431, 2706, 3188, 2000, 3979, 1010, 1996, 4243, 7864, 1996, 3818, 4093, 1997, 23953, 1005, 1041, 28298, 4447, 2085, 2077, 1996, 2457, 1012, 1996, 9619, 10037, 2008, 7861, 5092, 18389, 1996, 4093, 14567, 12381, 2216, 5761, 3641, 2011, 1996, 2457, 2004, 8824, 1999, 19792, 15277, 4335, 1012, 2009, 2036, 11014, 2000, 2191, 6937, 8377, 1999, 2195, 5919, 1997, 1996, 6469, 2729, 2291, 2164, 6885, 6537, 2006, 1996, 2193, 1997, 3572, 1037, 7309, 2089, 2022, 3625, 2005, 1010, 9229, 1996, 2291, 2005, 4346, 2966, 3949, 2000, 6469, 2336, 1010, 4346, 5375, 2000, 3019, 3008, 2008, 2052, 3499, 2336, 2000, 3961, 2007, 2068, 8558, 9992, 6469, 2729, 2073, 2825, 1010, 1998, 4346, 2005, 1037, 22961, 1997, 6413, 6469, 2729, 11073, 2015, 2164, 1996, 15680, 1997, 2047, 6469, 5014, 1012, 2367, 8377, 2024, 2000, 2022, 7528, 2012, 2367, 2335, 1025, 2174, 1010, 2035, 8377, 2024, 2000, 2022, 2081, 2306, 2048, 2086, 1012, 2044, 8824, 2817, 1997, 1996, 10037, 1998, 3116, 2007, 1996, 4243, 1010, 1996, 2457, 4340, 2008, 1996, 10037, 2001, 2306, 1996, 2846, 1997, 9608, 2791, 1998, 4844, 1037, 1000, 5060, 1997, 3818, 4093, 1997, 2465, 2895, 1000, 2006, 2089, 2539, 1010, 2997, 1012, 2462, 1012, 2104, 7349, 1012, 1054, 1012, 25022, 2615, 1012, 1052, 1012, 2603, 1006, 1041, 1007, 1010, 5060, 1997, 4093, 1997, 1037, 2465, 2895, 1000, 4618, 2022, 2445, 2000, 2035, 2372, 1997, 1996, 2465, 1999, 2107, 5450, 2004, 1996, 2457, 23303, 1012, 1000, 1996, 2457, 2856, 2008, 1996, 4844, 5060, 1997, 4093, 1010, 2029, 4838, 1037, 6851, 12654, 1997, 1996, 3818, 10037, 1010, 2022, 2741, 2000, 2035, 6469, 3008, 1010, 2035, 9064, 2007, 3183, 2336, 2018, 2042, 2872, 2011, 4647, 5104, 2015, 1010, 1998, 2035, 6897, 3008, 1997, 2336, 2040, 2018, 2042, 2872, 1999, 6469, 5014, 2030, 2007, 9064, 2006, 2030, 2077, 2238, 1022, 1010, 2997, 1012, 1996, 2457, 2036, 3641, 2008, 1996, 5060, 2022, 6866, 2012, 2151, 4647, 5104, 2015, 2436, 24832, 2011, 6469, 3008, 2030, 2011, 1996, 3019, 3008, 1997, 6469, 2336, 1012, 1996, 2440, 5060, 1997, 4093, 2036, 2001, 5653, 2098, 2000, 1996, 4641, 1997, 4411, 2124, 2000, 5050, 6469, 2336, 2030, 2124, 2000, 2031, 2019, 3037, 1999, 6469, 2729, 3314, 1012, 1031, 1019, 1033, 1999, 2804, 2000, 1996, 5653, 2075, 1998, 14739, 1997, 1996, 2440, 5060, 1010, 1037, 2457, 1011, 4844, 12066, 5060, 2001, 2405, 2274, 2335, 1999, 2176, 3679, 6399, 1012, 1031, 1020, 1033, 1996, 14444, 6727, 4699, 4243, 2008, 2027, 2071, 4874, 2000, 1996, 10037, 2012, 1037, 4994, 2218, 2006, 2251, 2324, 1010, 2997, 1012, 2216, 4699, 1999, 19919, 2075, 2012, 1996, 4994, 2020, 2409, 2000, 12040, 2517, 8635, 2000, 1996, 2457, 2011, 2251, 1022, 1025, 2174, 1010, 2012, 1996, 4994, 2035, 2020, 4778, 2000, 19919, 7539, 1997, 3251, 2008, 9095, 2018, 2042, 2777, 1012, 2012, 1996, 4994, 1010, 1037, 2561, 1997, 2702, 2111, 14914, 1012, 2122, 2443, 6469, 3008, 1010, 3019, 3008, 1010, 1037, 14056, 2005, 1037, 2586, 2029, 5836, 2070, 6469, 2729, 3667, 1010, 1037, 2280, 6469, 2775, 1010, 1998, 1996, 3129, 1997, 1037, 6469, 2729, 7309, 1012, 3904, 1997, 2216, 2040, 14914, 15959, 2000, 1996, 10037, 1012, 1996, 6469, 3008, 5228, 5142, 2055, 1996, 2291, 2005, 4346, 2966, 2578, 2000, 6469, 2336, 1012, 1996, 2280, 6469, 2775, 2409, 1996, 2457, 2008, 2016, 2018, 2042, 16999, 1998, 16709, 14701, 2096, 2016, 2001, 1999, 1996, 16362, 1005, 2729, 1010, 1998, 2016, 2356, 1996, 2457, 2000, 10408, 1996, 10037, 2004, 2574, 2004, 2825, 1012, 1996, 2586, 4387, 5228, 5142, 2007, 2070, 8910, 1998, 18168, 14643, 8496, 1997, 1996, 10037, 1025, 2174, 1010, 2002, 2056, 2008, 1996, 2586, 1005, 1055, 6469, 2729, 7309, 2372, 3227, 3569, 1996, 10037, 1012, 2119, 1996, 2586, 4387, 1998, 1996, 6469, 2729, 7309, 1005, 1055, 3129, 9720, 1996, 2457, 2000, 3113, 9139, 2007, 1996, 6469, 2729, 1008, 24406, 3667, 1010, 2040, 2106, 2025, 4299, 2000, 4671, 2151, 19628, 7271, 1012, 2061, 2008, 1996, 2457, 2071, 2963, 1996, 5328, 1997, 1996, 2111, 2040, 2052, 10408, 1996, 10037, 2006, 1037, 2154, 1011, 2000, 1011, 2154, 3978, 1010, 2019, 2125, 1996, 2501, 3116, 2007, 6469, 2729, 3667, 2001, 2218, 2006, 2257, 1017, 1010, 2997, 1010, 2007, 9517, 2556, 1012, 2076, 2008, 3116, 1010, 1996, 3667, 5228, 2195, 5936, 1012, 1999, 3327, 1010, 1996, 6469, 2729, 3667, 3090, 2008, 2027, 2411, 3604, 5606, 1997, 2661, 2566, 3204, 1998, 2356, 2008, 5193, 14895, 2015, 2022, 4846, 2011, 4647, 5104, 2015, 2000, 6509, 2068, 1012, 2027, 2036, 2056, 2008, 1037, 4770, 1997, 5741, 6469, 2729, 3667, 2323, 2022, 2800, 2000, 6509, 2043, 1037, 7309, 2003, 5665, 2030, 2006, 10885, 1012, 1996, 6469, 2729, 3667, 2036, 2356, 2008, 2027, 2022, 8916, 1037, 2535, 1999, 1996, 7375, 1998, 8822, 1997, 1996, 10037, 1012, 3523, 1012, 1996, 2457, 1005, 1055, 6226, 1997, 1037, 3818, 4093, 2003, 3223, 1999, 2344, 2000, 4047, 1996, 3037, 1997, 9962, 2465, 2372, 1012, 24624, 14905, 5740, 1058, 1012, 8925, 1010, 19827, 1042, 1012, 14134, 7558, 2575, 1010, 14078, 2581, 1006, 4833, 25022, 2099, 1012, 1007, 1010, 8292, 5339, 1012, 6380, 1010, 4008, 2683, 1057, 1012, 1055, 1012, 7886, 2487, 1010, 7886, 1055, 1012, 14931, 1012, 5179, 2620, 1010, 5764, 1048, 1012, 3968, 1012, 14134, 4805, 2683, 1006, 3150, 1007, 1025, 24665, 19496, 2078, 1058, 1012, 2248, 2160, 1997, 28470, 1010, 4868, 2509, 1042, 1012, 14134, 12457, 1010, 13138, 1006, 5893, 25022, 2099, 1012, 1007, 1010, 8292, 5339, 1012 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2585, 2848, 14425, 4477, 2585, 2848, 14425, 4477, 11338, 1006, 2484, 2281, 4529, 1516, 1019, 2244, 2541, 1007, 2001, 1037, 2548, 9622, 2961, 2040, 2001, 7267, 1997, 2162, 12481, 1999, 3147, 8838, 3317, 2076, 1996, 2117, 2088, 2162, 1012, 2002, 2101, 2366, 2004, 1996, 7991, 2961, 1997, 2871, 15054, 1010, 1998, 2001, 1037, 7799, 1997, 1996, 2510, 2892, 1012, 2220, 2166, 2585, 2848, 14425, 4477, 2001, 2141, 2012, 8117, 8977, 2534, 1010, 26261, 13112, 8117, 8977, 1010, 5982, 2006, 2484, 2281, 4529, 1012, 2002, 2001, 1996, 2353, 2365, 1997, 2350, 9586, 14425, 4477, 11338, 1998, 9984, 5953, 1012, 2002, 2001, 5161, 2012, 18174, 1012, 2510, 2476, 4477, 2587, 1996, 2548, 9622, 1999, 4347, 1998, 2979, 2041, 2012, 3066, 1010, 5982, 1010, 2074, 2077, 1996, 8293, 1997, 2088, 2162, 2462, 1012, 2006, 1016, 13114, 3878, 2002, 2001, 2081, 19703, 5649, 3812, 1012, 2002, 2001, 6866, 2000, 1996, 3082, 10844, 24248, 5380, 2105, 10399, 1012, 1996, 7735, 2001, 18897, 5819, 2012, 8040, 22068, 4834, 2006, 2385, 2233, 3878, 1998, 2741, 2000, 1996, 12085, 2005, 7192, 1012, 4477, 2001, 2417, 13699, 4135, 20821, 2000, 16727, 1010, 2073, 2002, 2001, 3479, 2005, 1996, 23116, 2486, 2004, 2112, 1997, 1996, 2022, 2546, 1012, 23116, 4477, 2001, 2112, 1997, 2952, 25844, 2457, 6610, 1005, 1055, 2194, 1997, 5594, 2548, 9622, 2029, 5565, 2012, 23116, 3859, 2044, 7090, 2006, 2423, 2089, 3878, 1012, 2007, 2028, 2060, 2961, 1010, 8318, 6621, 5503, 1010, 2027, 2020, 5338, 2007, 5094, 2413, 9622, 2000, 6985, 1996, 3418, 15364, 2012, 1996, 2803, 1997, 1996, 2237, 1012, 2045, 2027, 2020, 4457, 2011, 1996, 2440, 2453, 1997, 8418, 2595, 16946, 3650, 1998, 1010, 2011, 2220, 3944, 1010, 2020, 5129, 1998, 2041, 1997, 9290, 1012, 4477, 2001, 2101, 3855, 1999, 18365, 2229, 2005, 2010, 1000, 8424, 1998, 13347, 2000, 4611, 1000, 1999, 3868, 2039, 1998, 2091, 1996, 3509, 2000, 2562, 2010, 3131, 1005, 1055, 3698, 12734, 8127, 2007, 9290, 1012, 2027, 2018, 4061, 2007, 2107, 6819, 3995, 3126, 2008, 1996, 2880, 2446, 2501, 3191, 1010, 1000, 1996, 4099, 3957, 1996, 8605, 1997, 2108, 4840, 1010, 1998, 3849, 2000, 2031, 2363, 14214, 2044, 2048, 2420, 1997, 3082, 3554, 1012, 1000, 2750, 2037, 4073, 1010, 2306, 2048, 2420, 23116, 2018, 2042, 10795, 2000, 1996, 7074, 1010, 1998, 1996, 2329, 3629, 1010, 2164, 4477, 1010, 2579, 7267, 1012, 7267, 1997, 2162, 1996, 4110, 3629, 2020, 9847, 2083, 2642, 2605, 1010, 1996, 26225, 5267, 1998, 25487, 2000, 19876, 1012, 2013, 2045, 1010, 2027, 2020, 2333, 2006, 2000, 21360, 18940, 3409, 1999, 11606, 1010, 2059, 4015, 2000, 14841, 4779, 8202, 2075, 1012, 1996, 2548, 9622, 3738, 2020, 2333, 2000, 9388, 17802, 6151, 23689, 8490, 13926, 2112, 1997, 2358, 7911, 2290, 1060, 1011, 1038, 2012, 5472, 15853, 9834, 1010, 2073, 2027, 2574, 2318, 4041, 2037, 4019, 1012, 5503, 1010, 4477, 1005, 1055, 3507, 3884, 2961, 1010, 2001, 8580, 2007, 2032, 1998, 1010, 2058, 1996, 3467, 1997, 3874, 1516, 4413, 1010, 1996, 2048, 2273, 2150, 3813, 2814, 1012, 2007, 1037, 2193, 1997, 8628, 2027, 10141, 1010, 2881, 1998, 2328, 2011, 2192, 1037, 17743, 1997, 2329, 3330, 1516, 1037, 22582, 1011, 4220, 1011, 2146, 5234, 1010, 3143, 2007, 2717, 3016, 1010, 3751, 7497, 1998, 2250, 4834, 2291, 1010, 2004, 2092, 2004, 1037, 21919, 5080, 2000, 11582, 1997, 1996, 3921, 1997, 2741, 5134, 1012, 2058, 2531, 6197, 1997, 5800, 2001, 15199, 1998, 14091, 2104, 1037, 12570, 1012, 2006, 1021, 2258, 3758, 4477, 1010, 5503, 1998, 2184, 2060, 3738, 2081, 2037, 4019, 1012, 2044, 2260, 2420, 2006, 1996, 2448, 1010, 5503, 1998, 4477, 2020, 4110, 2379, 13109, 28812, 1010, 2306, 1037, 2261, 3634, 4210, 1997, 1996, 5695, 3675, 1012, 2044, 1037, 4766, 6297, 2067, 2012, 5472, 15853, 9834, 1010, 1996, 3940, 6376, 1010, 2023, 2051, 2011, 8660, 7548, 1037, 3827, 8840, 12244, 1010, 2021, 2020, 23838, 2012, 8719, 2737, 2276, 2011, 1996, 2446, 2610, 1012, 2027, 2020, 4015, 2000, 2358, 7911, 2290, 9937, 1011, 1038, 1999, 16983, 16150, 16347, 1010, 21872, 1010, 1037, 3827, 3409, 2005, 1000, 2060, 6938, 1000, 1012, 2037, 2994, 6354, 2069, 1037, 2261, 2706, 1012, 4477, 2001, 2179, 18737, 2013, 1037, 3332, 2306, 5282, 1997, 1037, 24845, 2075, 3457, 3899, 1010, 1998, 2048, 1997, 4477, 1005, 1055, 8628, 2020, 2036, 3236, 13002, 1012, 1996, 28616, 16748, 11390, 2020, 7680, 7849, 6588, 21319, 2000, 3147, 8838, 3317, 1012, 3147, 8838, 1999, 2220, 2257, 3758, 5503, 1998, 4477, 3369, 2012, 3147, 8838, 3317, 1006, 2059, 7267, 1997, 2162, 3409, 1997, 17802, 4921, 1011, 1039, 1007, 1010, 2073, 3507, 14516, 4019, 2229, 2020, 3811, 5117, 1999, 4041, 2062, 12976, 1010, 1998, 4477, 2001, 2574, 2920, 1999, 1996, 2536, 3934, 1012, 1996, 2093, 2548, 3884, 3738, 1006, 14408, 2457, 6610, 1010, 2037, 2194, 3474, 2012, 23116, 1010, 2001, 2036, 2012, 3147, 8838, 1007, 2018, 1037, 5891, 2005, 16534, 1998, 2204, 17211, 1010, 1998, 4477, 2001, 3264, 2004, 2108, 3391, 22430, 1010, 1037, 14516, 16371, 28138, 2000, 2010, 14408, 5668, 1998, 8053, 19142, 2000, 2010, 8628, 1012, 2002, 2320, 10312, 1996, 6178, 1997, 1996, 2446, 2961, 2040, 2001, 16258, 8630, 2075, 2006, 1996, 22617, 1997, 10304, 2076, 1037, 3315, 3944, 1012, 2178, 5043, 2130, 2081, 1996, 7074, 4756, 2043, 1010, 2397, 2005, 1037, 4897, 1011, 2655, 1010, 2002, 2170, 11374, 21272, 2135, 2013, 1037, 3317, 3332, 2000, 1996, 7700, 2917, 1000, 1045, 1005, 2222, 2272, 2091, 1998, 3693, 2017, 2035, 1999, 1037, 3371, 1000, 1012, 1999, 2255, 3826, 3505, 11881, 2001, 3236, 2076, 1996, 15236, 8965, 12947, 4019, 1012, 2348, 11881, 2018, 10795, 1010, 2002, 2001, 2915, 2012, 2485, 2846, 2011, 1037, 2446, 2961, 1012, 4477, 1010, 2247, 2007, 2116, 2060, 9390, 1010, 3373, 2010, 2767, 2000, 2022, 2757, 1998, 6626, 1000, 2446, 28882, 999, 1000, 1012, 2002, 2001, 3525, 7331, 2012, 1037, 2457, 7761, 2000, 2048, 2706, 1999, 24665, 19513, 2368, 2480, 2510, 3827, 1012, 5659, 2086, 2101, 1010, 2070, 2382, 3738, 1998, 2037, 10403, 2081, 1037, 2709, 3942, 2000, 3147, 8838, 1010, 1998, 4477, 2001, 2464, 2011, 8817, 1997, 2547, 7193, 3061, 1999, 1996, 10119, 1998, 2635, 2125, 1996, 15254, 1005, 1055, 1000, 2655, 2000, 10439, 5349, 1000, 2012, 1996, 2327, 1997, 2010, 2376, 1012, 2750, 1996, 2116, 3862, 4019, 4740, 2013, 3147, 8838, 1010, 4477, 2815, 1999, 3147, 8838, 2127, 2713, 2006, 2385, 2258, 3386, 1012, 2695, 2162, 2206, 2713, 2002, 9601, 1037, 4766, 2128, 1011, 2731, 2558, 1012, 2002, 2001, 2805, 5741, 2952, 2423, 2337, 3918, 1012, 4477, 2001, 2805, 2961, 7991, 2548, 9622, 1999, 4068, 1012, 2023, 2001, 2025, 1037, 7591, 14739, 1010, 1998, 4477, 2001, 2574, 2513, 2000, 3725, 1012, 2002, 2001, 2279, 6866, 2000, 1996, 2948, 6839, 1010, 1012, 25952, 1037, 3532, 2504, 1997, 19292, 7548, 1010, 2002, 1998, 6221, 5203, 1010, 1037, 2280, 7267, 1997, 1996, 2887, 1010, 4340, 2000, 14323, 1996, 2911, 1005, 1055, 2952, 1998, 18292, 2006, 9608, 3949, 1012, 2006, 5738, 1996, 2952, 1005, 1055, 6644, 1010, 4477, 4161, 1000, 2298, 1010, 2909, 1010, 2057, 1005, 2128, 2182, 2000, 2425, 2017, 2008, 2057, 1005, 2310, 2119, 2042, 1038, 1008, 1008, 1008, 1008, 1008, 1008, 1040, 2055, 2004, 23776, 2015, 1998, 2057, 1005, 2128, 2025, 2383, 2151, 1997, 2009, 1999, 3521, 7292, 999, 1000, 1012, 5203, 2001, 12943, 14949, 2102, 1010, 2021, 2000, 2010, 4474, 1996, 2952, 3880, 1010, 1000, 2035, 2157, 1010, 1045, 2963, 2017, 1012, 19776, 999, 1000, 1012, 1996, 2911, 1005, 1055, 2952, 2101, 9530, 20740, 2094, 2000, 2068, 1000, 5341, 2005, 2017, 2006, 1996, 2034, 2154, 2057, 2777, 2008, 1045, 2001, 3752, 1037, 2338, 2006, 2129, 2000, 3066, 2007, 4654, 1011, 23776, 2015, 1010, 2030, 2115, 6580, 2453, 2031, 2042, 2367, 1012, 1000, 4745, 14739, 2015, 2165, 2032, 2000, 5279, 1010, 1037, 19062, 3676, 1010, 4291, 4290, 1998, 1010, 1999, 3925, 1010, 19979, 1012, 2002, 2001, 2081, 2961, 1999, 3715, 7232, 11784, 8894, 3169, 1010, 8650, 3269, 2545, 2013, 4750, 19739, 11124, 25816, 2076, 1996, 19979, 2078, 5057, 1012, 2025, 2146, 2044, 7194, 1010, 2002, 2001, 2356, 2000, 2202, 1037, 2720, 3425, 2829, 2006, 1037, 8894, 6477, 2007, 3429, 15054, 1012, 5819, 10787, 2039, 1037, 2940, 2012, 3614, 7485, 2027, 8567, 2416, 19088, 1010, 2028, 1997, 3183, 4711, 1037, 17038, 2012, 1996, 3548, 5819, 2027, 2081, 2037, 4019, 1012, 1999, 2019, 2552, 2002, 2101, 2649, 2004, 1037, 1000, 5177, 14863, 11335, 3508, 1000, 1010, 4477, 12885, 3139, 1996, 17038, 2007, 2010, 6045, 1998, 2218, 2009, 2096, 2010, 19033, 2743, 2000, 3808, 1012, 14599, 1996, 17038, 3478, 2000, 20010, 21149, 1012, 2101, 1010, 2000, 4477, 1005, 1055, 23819, 1010, 2002, 2001, 3018, 1996, 2510, 2892, 2005, 2010, 1000, 6819, 3995, 3126, 1010, 9128, 1998, 5151, 8066, 1000, 1999, 9283, 3136, 2114, 1996, 19088, 1012, 2002, 2001, 3755, 2000, 2350, 2006, 2403, 2254, 3982, 1012, 1999, 3838, 2002, 2150, 16182, 3095, 2961, 1010, 1017, 15054, 4250, 2012, 21974, 1012, 2045, 2628, 14739, 2015, 2000, 1996, 29300, 3095, 2267, 1010, 13861, 1010, 1998, 2012, 16182, 8309, 16260, 1010, 2414, 1010, 2628, 2011, 1037, 2416, 1011, 3204, 4101, 2731, 2607, 2007, 1996, 2149, 9622, 1999, 2624, 5277, 1012, 1999, 3777, 2010, 4712, 2000, 3812, 4327, 2001, 4484, 1012, 1998, 2002, 2165, 3094, 1997, 2871, 15054, 2127, 3699, 1012, 2241, 1999, 5264, 1010, 2002, 2001, 4703, 4846, 1999, 15688, 2076, 1996, 13111, 2007, 1996, 9003, 2015, 2206, 1996, 18692, 10073, 1997, 3705, 1012, 2044, 1037, 2186, 1997, 3095, 14651, 1010, 4477, 3394, 2013, 1996, 2548, 9622, 1017, 2233, 3476, 1012, 6831, 2166, 4477, 2496, 11333, 10354, 2961, 1010, 6437, 4572, 1010, 1999, 26550, 2397, 1999, 3386, 1012, 2027, 2018, 2048, 4124, 1012, 2206, 2010, 5075, 2013, 1996, 9622, 1010, 4477, 1998, 2010, 2155, 11367, 2000, 2489, 6442, 1010, 17094, 1012, 1999, 3476, 4477, 2587, 1996, 2613, 3776, 2194, 1997, 24332, 1004, 2829, 1012, 6437, 2351, 1999, 3411, 1998, 1010, 1999, 3326, 4477, 3525, 19316, 2000, 15146, 9792, 2239, 1011, 9082, 1010, 1037, 4988, 2007, 1996, 4035, 1012, 1999, 3261, 1010, 2002, 1998, 11729, 1010, 22744, 3557, 1010, 4149, 24332, 1004, 2829, 1010, 5278, 2049, 2171, 2000, 10888, 1004, 3557, 1012, 1999, 2722, 4477, 2419, 10888, 1004, 3557, 2046, 11381, 1996, 6329, 2005, 1996, 2642, 17094, 1997, 2128, 1013, 4098, 1010, 1996, 2248, 2613, 3776, 22453, 1012, 2585, 2848, 14425, 4477, 2351, 2006, 1019, 2244, 2541, 1012, 3964, 4216, 15901, 2013, 1996, 20815, 1997, 8318, 1011, 8902, 2585, 4477, 1010, 1996, 3679, 10013, 1010, 1021, 2244, 2541, 4696, 1024, 4529, 18250, 4696, 1024, 2111, 5161, 2012, 18174, 2082, 4696, 1024, 2548, 9622, 3738, 4696, 1024, 2548, 9622, 5073, 1997, 2088, 2162, 2462, 4696, 1024, 2088, 2162, 2462, 5895, 1997, 2162, 2218, 2011, 2762, 4696, 1024, 5895, 1997, 2162, 2218, 2012, 3147, 8838, 3317, 4696, 1024, 15991, 1997, 1996, 2510, 2892, 4696, 1024, 2541, 6677, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1999, 1996, 2457, 1997, 4735, 9023, 1997, 5298, 2012, 8423, 2258, 2322, 1010, 2230, 5219, 2110, 1997, 5298, 1058, 1012, 6128, 18798, 13682, 3622, 5574, 2013, 1996, 4735, 2457, 2005, 12017, 2221, 2053, 1012, 2289, 1011, 1039, 1011, 21950, 2549, 2928, 1046, 1012, 3869, 8022, 1010, 3648, 2053, 1012, 25525, 8889, 2683, 1011, 5890, 16068, 2487, 1011, 10507, 2050, 1011, 1054, 2509, 1011, 3729, 1011, 6406, 2285, 1015, 1010, 2230, 13474, 1010, 6128, 18798, 13682, 1010, 2001, 21801, 1999, 1037, 9171, 1011, 4175, 24265, 2011, 1996, 12017, 2221, 2882, 6467, 2005, 2093, 9294, 1997, 2880, 23337, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2385, 1011, 28048, 1010, 3157, 9294, 1997, 4424, 6046, 2011, 2019, 3691, 3275, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2410, 1011, 4720, 2581, 1010, 2176, 9294, 1997, 15201, 9040, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2410, 1011, 2753, 2575, 1010, 1998, 2028, 4175, 1997, 9040, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2410, 1011, 2753, 2509, 1012, 13474, 2001, 7979, 2011, 1037, 6467, 1997, 2093, 9294, 1997, 2880, 23337, 1010, 2028, 4175, 1997, 3535, 2000, 10797, 4424, 6046, 1010, 1037, 8276, 1011, 2443, 10048, 1997, 1996, 5338, 10048, 1997, 4424, 6046, 1010, 2028, 4175, 1997, 4424, 6046, 1010, 1998, 2048, 9294, 1997, 3535, 2000, 10797, 15201, 9040, 1010, 1037, 8276, 1011, 2443, 10048, 1997, 15201, 9040, 1012, 1996, 6467, 2106, 2025, 5136, 2809, 9294, 1997, 1996, 24265, 2004, 1996, 3979, 2457, 4379, 26186, 1997, 9353, 15549, 28200, 2012, 1996, 2485, 1997, 1996, 2110, 1521, 1055, 6947, 1010, 1998, 13474, 2001, 18538, 2011, 1996, 6467, 1997, 1996, 3588, 2048, 9294, 1012, 13474, 6406, 1037, 4367, 2005, 2047, 3979, 1010, 1998, 2206, 1037, 4994, 1010, 1996, 3979, 2457, 15348, 2010, 10652, 2005, 2880, 23337, 1999, 4175, 1015, 1997, 1996, 24265, 2005, 16021, 16093, 8873, 29125, 1997, 1996, 3350, 1012, 1996, 2457, 4379, 1037, 11094, 14482, 2004, 2000, 13474, 1521, 1055, 10652, 2005, 4692, 4424, 6046, 1999, 4175, 1018, 1010, 2010, 10652, 2005, 2880, 23337, 1999, 4175, 1022, 1010, 1998, 2010, 10652, 2005, 4424, 6046, 1999, 4175, 2340, 1012, 1999, 2019, 13266, 2344, 1010, 1996, 3979, 2457, 2036, 15348, 13474, 1521, 1055, 10652, 2005, 2880, 23337, 1999, 4175, 1017, 1997, 1996, 24265, 1012, 2006, 5574, 1010, 13474, 19514, 2008, 1996, 3979, 2457, 1521, 1055, 17888, 1997, 1996, 6467, 2001, 24156, 1998, 2008, 2002, 2003, 4709, 2000, 1037, 2047, 3979, 1012, 4531, 2053, 7561, 1010, 2057, 21358, 27972, 1996, 26186, 1997, 1996, 3979, 2457, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 1017, 5574, 2004, 1997, 2157, 1025, 26186, 1997, 1996, 4735, 2457, 19768, 2726, 1056, 1012, 3536, 8095, 1010, 1046, 1012, 1010, 5359, 1996, 5448, 1997, 1996, 2457, 1010, 1999, 2029, 2585, 1044, 1012, 23447, 1998, 2198, 15160, 3766, 1010, 29017, 1012, 1010, 2587, 1012, 2198, 1055, 1012, 8902, 3051, 1010, 3523, 1010, 3996, 1010, 5298, 1010, 2005, 1996, 10439, 24178, 1010, 6128, 18798, 13682, 1012, 2728, 1041, 1012, 6201, 1010, 3781, 1012, 1010, 4905, 2236, 1998, 6398, 1025, 12895, 1039, 1012, 9115, 1010, 3353, 4905, 2236, 1025, 5125, 1055, 1012, 1006, 17153, 2854, 1007, 3779, 1010, 3523, 1010, 2212, 4905, 2236, 1025, 1046, 1012, 1059, 1012, 15876, 9397, 1010, 3353, 2212, 4905, 2236, 1025, 1998, 4422, 28925, 13565, 1010, 3353, 2212, 4905, 2236, 1010, 2005, 1996, 10439, 14774, 2063, 1010, 1996, 2110, 1997, 5298, 1012, 5448, 1996, 7082, 3277, 2992, 1999, 2023, 5574, 2003, 3251, 1996, 2048, 9294, 1997, 3535, 2000, 10797, 15201, 9040, 2005, 2029, 13474, 4832, 7979, 2323, 2022, 15348, 2005, 3768, 1997, 14477, 3490, 16383, 1999, 1996, 6467, 1521, 1055, 14392, 1012, 13474, 2035, 24746, 2015, 2008, 2010, 2349, 2832, 2916, 2020, 14424, 2011, 1996, 7709, 4846, 2011, 1996, 3979, 2457, 1999, 17888, 1996, 6467, 2044, 1996, 14392, 2001, 2623, 1012, 1037, 12654, 1997, 1996, 8866, 2877, 2000, 1996, 20488, 2003, 2025, 4072, 2000, 4769, 1996, 3277, 2992, 2006, 5574, 1012, 1996, 2501, 3065, 2008, 2206, 3972, 20755, 28893, 1010, 1996, 6467, 2513, 2000, 1996, 20747, 1010, 1998, 1996, 3979, 2457, 3191, 1996, 6467, 1521, 1055, 14392, 1998, 10514, 2050, 11867, 28040, 26847, 1996, 6467, 1012, 3639, 9517, 2059, 7303, 3265, 17888, 2138, 1010, 2429, 2000, 2032, 1010, 1523, 1031, 18414, 29165, 1033, 5796, 1012, 4482, 2195, 2335, 2106, 2025, 2907, 2014, 2192, 2039, 2030, 2069, 2106, 2009, 2012, 1996, 2457, 1521, 1055, 15870, 1012, 1524, 2076, 1996, 3265, 17888, 2011, 1996, 3979, 2457, 1010, 2009, 2150, 6835, 2008, 2178, 18414, 29165, 1010, 5796, 1012, 13114, 2080, 1010, 2106, 2025, 5993, 1010, 1999, 2112, 1010, 2007, 1996, 14392, 1012, 18414, 29165, 13114, 2080, 3090, 2004, 2000, 4175, 1018, 1997, 1996, 24265, 1010, 1523, 2026, 3789, 2001, 2367, 1010, 2021, 1045, 3789, 5905, 1012, 1524, 1996, 3979, 2457, 2741, 1996, 6467, 2041, 1998, 6936, 1996, 6467, 17888, 2007, 9517, 2005, 13474, 1998, 1996, 2110, 1012, 1996, 6467, 2001, 2716, 2067, 2046, 1996, 20747, 1010, 1998, 1996, 3979, 2457, 8280, 1996, 6467, 2004, 4076, 1024, 2034, 1997, 2035, 1010, 1045, 1521, 1049, 2183, 2000, 2707, 4175, 2176, 3265, 17888, 1997, 1996, 18414, 29165, 2015, 2058, 2153, 1012, 2006, 2019, 3265, 8554, 1010, 2169, 1997, 2017, 2031, 2000, 14970, 1999, 2330, 2457, 2005, 1996, 2501, 2043, 1045, 2655, 2115, 2171, 3251, 2030, 2025, 1996, 14392, 1010, 2029, 1045, 2097, 3191, 2000, 2017, 1010, 2003, 1996, 14392, 1516, 2003, 2115, 14392, 1010, 2003, 2115, 3265, 14392, 2005, 2169, 4175, 1012, 1045, 2342, 2000, 2963, 2008, 14258, 1998, 9174, 2011, 2169, 1997, 2017, 1012, 2065, 2151, 1997, 2017, 2031, 6724, 2055, 2054, 1045, 1521, 1049, 4851, 1010, 10639, 2007, 1996, 2457, 1012, 1045, 1521, 2310, 2042, 1516, 2009, 1521, 1055, 2042, 3421, 2008, 1037, 14392, 2038, 2042, 2584, 1010, 1045, 2031, 2579, 1996, 14392, 2241, 2006, 1996, 2265, 1997, 2398, 1010, 2021, 1996, 2375, 4473, 2005, 3265, 17888, 1012, 2004, 1997, 2157, 2085, 1010, 2115, 10287, 1998, 3972, 20755, 28893, 2024, 2058, 2007, 1012, 2009, 2003, 2026, 5368, 2000, 5676, 2119, 3903, 2008, 1037, 13604, 14392, 2038, 1999, 2755, 2042, 2584, 1012, 1045, 2113, 2017, 2035, 2031, 2042, 2104, 1037, 2843, 1997, 6911, 2058, 1037, 8487, 1997, 2093, 2367, 2420, 2551, 2006, 2019, 5186, 3697, 3663, 1998, 1045, 2113, 2008, 2763, 2035, 1997, 2017, 2024, 5458, 1998, 10627, 25312, 17269, 1011, 1016, 1011, 1998, 2673, 1010, 2061, 2065, 2008, 1521, 1055, 2025, 2115, 14392, 1010, 1045, 2074, 2342, 2000, 2113, 3649, 2009, 2003, 2061, 2008, 1045, 2064, 2059, 4769, 2008, 3327, 3277, 1012, 1996, 2457, 2059, 7943, 3265, 17888, 1010, 1998, 2004, 2000, 4175, 1018, 1010, 13003, 13474, 2007, 3535, 2000, 10797, 4424, 6046, 2011, 2019, 3691, 3275, 1010, 18414, 29165, 4482, 5393, 2008, 2016, 2018, 5444, 5905, 1010, 2021, 6380, 2008, 5905, 2001, 2014, 3265, 14392, 1012, 2004, 2000, 4175, 1019, 1010, 13003, 13474, 2007, 4424, 6046, 1010, 2000, 2029, 1996, 6467, 2018, 2513, 1037, 14392, 1997, 2025, 5905, 1010, 18414, 29165, 4482, 2153, 5393, 2008, 2023, 2001, 2025, 2014, 3265, 14392, 1012, 2004, 2000, 4175, 1022, 1010, 2035, 18414, 29165, 2015, 19768, 1996, 5905, 14392, 1012, 2004, 2000, 4175, 2340, 1010, 13003, 4424, 6046, 1010, 18414, 29165, 4482, 2153, 6380, 2008, 2014, 3265, 14392, 2001, 5905, 1012, 2004, 2000, 9294, 2260, 1998, 2410, 1010, 13003, 13474, 2007, 15201, 9040, 1010, 2035, 18414, 29165, 2015, 19768, 1996, 14392, 2015, 1997, 5905, 2000, 1996, 8276, 1011, 2443, 10048, 1997, 3535, 2000, 10797, 15201, 9040, 1012, 2004, 2000, 4175, 2459, 1010, 13003, 9040, 1010, 2035, 1997, 1996, 18414, 29165, 2015, 19768, 1996, 2025, 5905, 14392, 1012, 2076, 1996, 3265, 17888, 1010, 18414, 29165, 13114, 2080, 19768, 2014, 3265, 14392, 2004, 2000, 2035, 1997, 1996, 2682, 9294, 1012, 2044, 1996, 3979, 2457, 2949, 1996, 3265, 17888, 1010, 2174, 1010, 18414, 29165, 13114, 2080, 5393, 2008, 2016, 18335, 2007, 2070, 1997, 1996, 6467, 1521, 1055, 14392, 2015, 1012, 2016, 3090, 1010, 1523, 2054, 1045, 2359, 2000, 2360, 2001, 1010, 1999, 2070, 1997, 2068, 1010, 1045, 2134, 1521, 1056, 5993, 1010, 1045, 2134, 1521, 1056, 1516, 2026, 3789, 2001, 2025, 5905, 1010, 2021, 2138, 6343, 2371, 1996, 2168, 2126, 2008, 1045, 2106, 1010, 1045, 2018, 2000, 3789, 5905, 1012, 2045, 2001, 2053, 2060, 2126, 1012, 1524, 4919, 1010, 18414, 29165, 13114, 2080, 2409, 1996, 3979, 2457, 2008, 2004, 2000, 4175, 1018, 1010, 2016, 2106, 2025, 5993, 2007, 1996, 6467, 1521, 1055, 5905, 14392, 1012, 1996, 3979, 2457, 2153, 2741, 1996, 6467, 2041, 1998, 8280, 1996, 3277, 2007, 9517, 1012, 9517, 2005, 13474, 2081, 1037, 4367, 2005, 11094, 14482, 1010, 2029, 1996, 3979, 2457, 6380, 1012, 2043, 1996, 6467, 2001, 2716, 2067, 1999, 1010, 1996, 3979, 2457, 2320, 2153, 14258, 26847, 18414, 29165, 2015, 13114, 2080, 1998, 4482, 2069, 2004, 2000, 9294, 1018, 1010, 1019, 1010, 1022, 1010, 2340, 1010, 2260, 1010, 2410, 1010, 1998, 2459, 1010, 1998, 2119, 18414, 29165, 2015, 19768, 1996, 14392, 2015, 1997, 1996, 6467, 1012, 4106, 13474, 27481, 2015, 1010, 2004, 2000, 1996, 2048, 9294, 1997, 4692, 15201, 9040, 2005, 2029, 2002, 4832, 7979, 1010, 2008, 1523, 2002, 2106, 2025, 4374, 1037, 4189, 3979, 2006, 2122, 9294, 1010, 4496, 2001, 1996, 14392, 13604, 1012, 1524, 13474, 19514, 2008, 2002, 2003, 4709, 2000, 1037, 2047, 3979, 2006, 9294, 2260, 1998, 2410, 1012, 1996, 2110, 27481, 2015, 2008, 2138, 13474, 3478, 2000, 4874, 2012, 3979, 2030, 5333, 1996, 3277, 1997, 1996, 17727, 18981, 27840, 1997, 1996, 3979, 2457, 1521, 1055, 17888, 7709, 1999, 2010, 4367, 2005, 2047, 3979, 1010, 1996, 3277, 2003, 16301, 1012, 1996, 2110, 2582, 19514, 2008, 2138, 13474, 3478, 2000, 3073, 1037, 24051, 2030, 2060, 2501, 1997, 1996, 4994, 2006, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 1010, 2023, 2457, 2442, 3653, 23545, 1996, 3979, 2457, 1521, 1055, 6996, 2003, 6149, 1012, 3227, 1010, 2073, 1037, 2283, 11896, 2000, 2421, 2019, 3277, 1999, 2049, 4367, 2005, 2047, 3979, 1010, 1996, 3277, 2003, 16301, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 1017, 1006, 1041, 1007, 1025, 2156, 2110, 1058, 1012, 5232, 1010, 27743, 1055, 1012, 1059, 1012, 14134, 29335, 1010, 4229, 2575, 1006, 2702, 2078, 1012, 2786, 1007, 1012, 2036, 1010, 2009, 2003, 1996, 4611, 1997, 1996, 5496, 2000, 3073, 1037, 2501, 2029, 16636, 2015, 1037, 4189, 1010, 8321, 1998, 1011, 1017, 1011, 3143, 4070, 1997, 2054, 9099, 21649, 2007, 7634, 2000, 1996, 3314, 2029, 2433, 1996, 3978, 1997, 1996, 5574, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 2484, 1006, 1038, 1007, 1025, 2156, 2110, 1058, 1012, 4202, 1010, 5585, 2475, 1055, 1012, 1059, 1012, 14134, 6365, 2487, 1010, 6365, 2549, 1006, 2702, 2078, 1012, 2639, 1007, 1012, 1996, 2501, 2077, 2149, 2515, 2025, 5383, 1037, 24051, 1997, 1996, 4994, 2006, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 1010, 1998, 1996, 24051, 2013, 1996, 3752, 1997, 1996, 6467, 14392, 1998, 4745, 17888, 3065, 2008, 3639, 9517, 3478, 2000, 4874, 4919, 2000, 1996, 17888, 7709, 4846, 2011, 1996, 3979, 2457, 1012, 2174, 1010, 3639, 9517, 2333, 1996, 3979, 2457, 2000, 13520, 1037, 11094, 14482, 2044, 1996, 2457, 2741, 1996, 6467, 2041, 2005, 1996, 2117, 2051, 1012, 7297, 1010, 1999, 2010, 4367, 2005, 2047, 3979, 1010, 13474, 27481, 2015, 2008, 1996, 6467, 17888, 7709, 4846, 2011, 1996, 3979, 2457, 2001, 24156, 1012, 1996, 4367, 2163, 2004, 5286, 2005, 1037, 2047, 3979, 1010, 1523, 1031, 1051, 1033, 13316, 2063, 18414, 29165, 2015, 14970, 1996, 5359, 14392, 2001, 2025, 17156, 1010, 1996, 2069, 2048, 7047, 2800, 2000, 1996, 2457, 2024, 1006, 1015, 1007, 1037, 11094, 14482, 2006, 2216, 9294, 2030, 1006, 1016, 1007, 16021, 26310, 1996, 6467, 2000, 3613, 2049, 3972, 20755, 28893, 2000, 1037, 13604, 14392, 1012, 2023, 2457, 2106, 4445, 1012, 1524, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 2484, 1006, 1038, 1007, 14245, 2019, 10439, 24178, 2000, 5371, 2625, 2084, 1037, 3143, 24051, 2065, 1996, 9128, 1997, 1996, 3314, 2009, 18754, 2000, 5333, 2097, 2025, 5478, 1996, 23240, 2457, 2000, 3319, 1996, 2972, 24051, 1012, 2057, 16519, 2008, 1037, 24051, 1997, 1996, 3979, 2457, 1521, 1055, 4994, 2006, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 2003, 2025, 4072, 2000, 5646, 1996, 3277, 2992, 1999, 2023, 5574, 1012, 1996, 2501, 2077, 2149, 2515, 5383, 1037, 24051, 1997, 1996, 3979, 8931, 2004, 2092, 2004, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 1998, 1996, 3979, 2457, 1521, 1055, 2344, 1998, 13266, 2344, 1012, 2057, 2097, 1010, 3568, 1010, 4769, 2023, 3277, 2006, 1996, 22617, 1012, 5298, 3627, 1997, 4735, 7709 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2412, 8271, 2039, 1999, 1996, 2851, 1998, 1996, 2034, 2245, 2008, 3310, 2000, 2115, 2568, 2003, 1010, 1523, 1045, 2074, 2123, 1521, 1056, 2215, 2000, 2131, 2041, 1997, 2793, 1529, 1012, 13001, 1529, 1012, 1012, 100, 1029, 1524, 2030, 2023, 1010, 1523, 12098, 12171, 5603, 1010, 1045, 2031, 2000, 2227, 1996, 2168, 2214, 2477, 2651, 1529, 1012, 1012, 13001, 1529, 1012, 1010, 1524, 1998, 2017, 5342, 25035, 2582, 2104, 1996, 4472, 1998, 10214, 2000, 24981, 1029, 2750, 1996, 2755, 2008, 2017, 2089, 2022, 2397, 2005, 2147, 2030, 2397, 1999, 2893, 2115, 4268, 2000, 2082, 1029, 100, 2012, 2023, 2391, 1010, 2009, 2003, 2200, 2524, 2000, 3046, 1998, 9587, 29068, 3686, 9731, 2138, 2057, 2024, 2525, 5881, 1999, 1996, 21766, 2102, 1012, 2061, 1010, 2054, 1045, 2572, 2183, 2000, 2391, 2041, 2182, 2024, 2070, 3722, 3971, 2008, 2017, 2064, 6611, 2096, 2017, 2024, 2025, 1999, 1996, 21766, 2102, 2664, 2138, 2027, 2024, 3214, 2000, 2022, 4652, 3512, 5761, 1012, 2005, 2033, 1010, 2009, 2003, 23934, 2008, 1045, 2079, 2023, 2138, 10126, 1010, 2154, 1999, 1998, 2154, 2041, 1010, 2009, 2038, 2042, 2062, 2030, 2625, 1996, 2168, 2828, 1997, 8518, 2008, 1045, 2227, 2005, 1996, 2197, 1022, 2086, 2008, 1045, 2031, 2042, 1037, 2440, 2051, 2188, 8571, 1012, 2823, 1010, 1996, 18847, 2669, 2100, 1997, 2009, 2035, 2064, 2428, 2131, 2000, 2033, 1529, 2085, 1010, 2006, 1996, 2744, 1523, 2188, 8571, 1524, 1516, 1045, 2572, 2183, 2000, 11853, 9375, 2008, 2004, 2619, 1006, 3262, 6456, 1025, 2092, 1010, 2273, 1010, 2205, 1010, 2024, 2443, 2065, 2027, 2024, 2920, 1999, 2023, 1998, 1045, 10439, 17298, 2094, 2068, 5262, 999, 100, 1007, 2040, 9020, 1998, 14977, 2005, 1996, 4398, 1010, 3810, 2009, 2046, 1037, 2522, 6508, 2188, 1998, 8493, 2073, 2014, 2155, 2064, 2202, 9277, 1999, 1012, 2023, 2097, 2421, 2440, 1011, 2051, 2994, 1011, 2012, 1011, 2188, 3566, 2015, 2066, 2033, 1010, 2551, 10403, 1010, 2309, 3566, 2015, 1010, 2147, 1011, 2013, 1011, 2188, 3566, 2015, 1998, 2047, 10403, 1010, 3100, 1029, 3046, 1998, 11092, 2070, 1997, 1996, 3971, 3855, 2917, 1024, 1011, 1015, 1007, 2043, 2017, 2175, 2000, 2793, 2012, 2305, 1010, 2017, 2323, 2022, 1999, 1037, 3893, 4853, 1997, 2568, 1010, 2007, 1037, 2204, 2245, 1012, 2065, 2017, 2991, 6680, 2007, 1996, 2197, 2245, 2108, 4997, 2066, 1010, 1523, 2821, 2879, 1010, 4826, 2003, 6928, 1010, 2009, 1521, 1055, 2183, 2000, 2022, 1996, 5132, 2005, 2033, 1529, 1010, 1524, 1010, 2017, 2024, 2183, 2000, 5256, 2039, 1996, 2279, 2154, 5791, 3110, 14777, 1998, 2017, 2024, 2183, 2000, 2022, 5881, 1999, 2793, 2005, 2469, 999, 1016, 1007, 6660, 1010, 2043, 2017, 5256, 2039, 1010, 3046, 2000, 2031, 1037, 3893, 2034, 2245, 1010, 2066, 1010, 1523, 2651, 2003, 2183, 2000, 2022, 1037, 6919, 1998, 3376, 2154, 999, 1524, 2079, 2023, 2130, 2065, 2017, 2024, 2183, 2000, 2022, 5307, 2019, 28644, 1997, 3082, 2147, 11066, 2008, 2154, 1010, 1998, 1045, 2064, 6655, 2017, 2007, 2023, 2707, 2039, 1999, 1996, 2851, 1010, 2017, 2024, 1999, 1037, 2488, 4650, 2000, 2227, 2115, 2047, 2154, 1012, 100, 1017, 1007, 2017, 2064, 2079, 3893, 21358, 27972, 10708, 2066, 1010, 1523, 1045, 2572, 3407, 1010, 1045, 2572, 7965, 1010, 1045, 2572, 18241, 1010, 1524, 1999, 1996, 2851, 1998, 2802, 1996, 2154, 2138, 2027, 2097, 2393, 2000, 1523, 25732, 1524, 2115, 6888, 2005, 1996, 2154, 1012, 1018, 1007, 3342, 2008, 2009, 2987, 1521, 1056, 3477, 2005, 2017, 2000, 2022, 1999, 1037, 2919, 6888, 2320, 2017, 5256, 2039, 1012, 2031, 2017, 4384, 2129, 2272, 2477, 2064, 2175, 2130, 2062, 3308, 2074, 2043, 2017, 2024, 1999, 1037, 2919, 6888, 1029, 2926, 2043, 2017, 2024, 4854, 1029, 2061, 1010, 2360, 2053, 2000, 2919, 27824, 1998, 27987, 9961, 999, 1019, 1007, 3046, 2000, 15673, 1037, 2868, 2006, 2115, 2227, 999, 2085, 1010, 1045, 2056, 1523, 15673, 1524, 2138, 2043, 2017, 2024, 1999, 1037, 10223, 6508, 6888, 1010, 2045, 2003, 2053, 2126, 2017, 2064, 2130, 3288, 4426, 2000, 2514, 2066, 5629, 1012, 2061, 1010, 2054, 2017, 2031, 2000, 2079, 2003, 2000, 2486, 2115, 2677, 2000, 2868, 1010, 2130, 2065, 2017, 2031, 2000, 3288, 2039, 2115, 2048, 18921, 20349, 2015, 2000, 1996, 7926, 1997, 2115, 2970, 1998, 6336, 2068, 2039, 2046, 1037, 7367, 14905, 23078, 1997, 1037, 2868, 999, 100, 5292, 3270, 3270, 999, 3475, 1521, 1056, 2023, 4569, 1029, 2009, 2089, 2514, 9951, 2000, 2017, 2725, 2008, 1010, 2021, 3404, 2033, 1010, 2009, 2573, 2044, 1037, 2261, 2781, 1010, 2522, 2015, 5064, 1010, 2115, 6888, 2003, 2025, 2004, 2091, 2004, 2077, 1998, 2008, 2868, 1997, 6737, 2089, 2074, 2735, 10218, 999, 2030, 2017, 2097, 2022, 2039, 18412, 2098, 2011, 2115, 2219, 7239, 1010, 5870, 2012, 2115, 10021, 27440, 999, 2011, 1996, 2126, 1010, 2562, 5629, 2004, 2172, 2004, 2017, 2064, 2076, 1996, 2154, 1012, 100, 1020, 1007, 4872, 4426, 1037, 10377, 2005, 1996, 2203, 1997, 1996, 2154, 2065, 2017, 2031, 2699, 2115, 2190, 2000, 2031, 1037, 2204, 2154, 1012, 1045, 2031, 2367, 2210, 19054, 2074, 2005, 2870, 2296, 2154, 1529, 1012, 1012, 2183, 2000, 1996, 9588, 2243, 13498, 2005, 1037, 3835, 2452, 1997, 14123, 5572, 1006, 8915, 2232, 1051, 3256, 12967, 2226, 1007, 1010, 2030, 2074, 5128, 2039, 2026, 5458, 3456, 1998, 3422, 1037, 2204, 3185, 1010, 2030, 2074, 2383, 2070, 4251, 2051, 2000, 2870, 1523, 2310, 18150, 5844, 1524, 2026, 4167, 1010, 1045, 1012, 1041, 1012, 2074, 2025, 2725, 2151, 3241, 1012, 1021, 1007, 2009, 7126, 1037, 2843, 2000, 4756, 2076, 1996, 2154, 1012, 1045, 2632, 4576, 2903, 2008, 1010, 1523, 7239, 2003, 1996, 2190, 4200, 1524, 2138, 2043, 2057, 4756, 1010, 2256, 4167, 7137, 2203, 2953, 21850, 3619, 1010, 1037, 2514, 1011, 2204, 18714, 1012, 3422, 1037, 4133, 1011, 4012, 1010, 2030, 3191, 2070, 13198, 1010, 2030, 2488, 2145, 2425, 2070, 13198, 2000, 2619, 1998, 2191, 2068, 4756, 2612, 999, 100, 1022, 1007, 2256, 2303, 2038, 15240, 2015, 2029, 2064, 27598, 4997, 19320, 2076, 1996, 2154, 1998, 2058, 1037, 2558, 1010, 1996, 15240, 2015, 2064, 2468, 10634, 1998, 3082, 1010, 2947, 2437, 2149, 2514, 2292, 8167, 12863, 1010, 10634, 1998, 23667, 17701, 2232, 1012, 1045, 2066, 2000, 2655, 2023, 4650, 1523, 2108, 1999, 1996, 13132, 4224, 1524, 2138, 2008, 2003, 10785, 2129, 1045, 2052, 2514, 1012, 1996, 19519, 2003, 3733, 1998, 2035, 2017, 2342, 2000, 2079, 2003, 1037, 5474, 7198, 2000, 4550, 2115, 15240, 2015, 1012, 2045, 2024, 2060, 3971, 2008, 1045, 2064, 2228, 1997, 2000, 2393, 4372, 2121, 17701, 2063, 2256, 2166, 2021, 1045, 2097, 2644, 2182, 2012, 1022, 1010, 2138, 1045, 2572, 7501, 1998, 1045, 2342, 2000, 2175, 2031, 2026, 4596, 2085, 1516, 2026, 4167, 2003, 7491, 2005, 2833, 1998, 10214, 2000, 2228, 4902, 999, 100, 100, 2397, 2028, 2305, 1010, 1045, 2018, 1037, 2844, 26369, 2005, 22619, 1998, 1045, 2787, 2000, 8670, 3489, 1037, 25659, 9850, 2012, 7090, 999, 100, 2092, 1010, 2009, 2001, 1037, 5095, 2305, 1998, 2026, 3129, 1998, 4268, 2020, 2035, 6595, 2039, 2397, 4312, 1529, 1012, 1998, 2061, 1010, 2023, 2001, 1037, 2613, 7438, 2005, 2068, 1010, 1037, 14704, 1997, 25659, 9850, 2005, 15264, 999, 1045, 2018, 2070, 2187, 7840, 6949, 8808, 1999, 2026, 18097, 1998, 1045, 2787, 2000, 2224, 2035, 1997, 2009, 1998, 5064, 1010, 1045, 18358, 2039, 2007, 1996, 11702, 2005, 2437, 1996, 8808, 22286, 1010, 1998, 1045, 3092, 2039, 2007, 1037, 10097, 2075, 2008, 2001, 1037, 18819, 2205, 28259, 1529, 2021, 1529, 1012, 2009, 2469, 12595, 2307, 2007, 1996, 9850, 4312, 1012, 100, 2023, 17974, 2003, 2428, 3733, 2000, 3582, 1998, 2009, 2069, 2165, 2033, 2322, 2781, 2000, 7374, 1996, 9850, 23801, 2013, 11969, 2035, 2011, 2870, 1998, 2302, 2151, 2210, 16838, 1006, 2002, 5369, 1010, 2026, 4268, 1007, 5094, 2041, 1999, 1996, 3829, 1012, 1045, 1521, 1049, 2025, 2200, 2204, 2007, 21522, 22619, 1998, 2061, 1010, 1045, 2001, 2200, 3407, 2007, 1996, 3463, 2182, 1012, 100, 2034, 1010, 1996, 17428, 2003, 3653, 20192, 3064, 2000, 8380, 5445, 8292, 15472, 4173, 2030, 8698, 5445, 6904, 28362, 25311, 20175, 1012, 2096, 1996, 17428, 2003, 2183, 1010, 21956, 1998, 13724, 1037, 1022, 1011, 4960, 2030, 2184, 1011, 4960, 2461, 2030, 2675, 9850, 6090, 1012, 2059, 1010, 7374, 1996, 23801, 2004, 4076, 1516, 2878, 4168, 2389, 25659, 9850, 2007, 6949, 8808, 10097, 2075, 12760, 1516, 1015, 1015, 1013, 1016, 10268, 3514, 1016, 10268, 2829, 5699, 1016, 24529, 4523, 21229, 9898, 1018, 6763, 1010, 7854, 8217, 1015, 24529, 2361, 21161, 1016, 10268, 2878, 4168, 2389, 13724, 1015, 24529, 2361, 5474, 1017, 10268, 22126, 24665, 4383, 25659, 2015, 1015, 24529, 2361, 21522, 9898, 1015, 24529, 2361, 21522, 14904, 2030, 14904, 12170, 26190, 3686, 4118, 1516, 4666, 1996, 2034, 2274, 12760, 12246, 1999, 1037, 2312, 4605, 1012, 2059, 5587, 1999, 1996, 2717, 1997, 1996, 12760, 2028, 2011, 2028, 2127, 2027, 2024, 2035, 5100, 1012, 10364, 2046, 1996, 4810, 9850, 6090, 1998, 8670, 3489, 1999, 1996, 3653, 20192, 3064, 17428, 2005, 3155, 2753, 2781, 1010, 2030, 2043, 1996, 2327, 1997, 1996, 9850, 2003, 3585, 1999, 6120, 1998, 1996, 9850, 2003, 7718, 2005, 2589, 2791, 2043, 2019, 12889, 11868, 24330, 2243, 2046, 1996, 2803, 1997, 1996, 9850, 4332, 2041, 4318, 1006, 2302, 2151, 23801, 13423, 3031, 2009, 1007, 1012, 2096, 1996, 9850, 2003, 21522, 1010, 7374, 1996, 6949, 8808, 10097, 2075, 1529, 6949, 8808, 10097, 2075, 1516, 12760, 1516, 1015, 1013, 1018, 2452, 4895, 12002, 3064, 12136, 1010, 2012, 2282, 4860, 11816, 13938, 2030, 1022, 11472, 1997, 3730, 4407, 6949, 8808, 1010, 2012, 2282, 4860, 1016, 10268, 2030, 11816, 13938, 2015, 1997, 24582, 2075, 1013, 9530, 25969, 3258, 2545, 1521, 5699, 1010, 9033, 18915, 27838, 3367, 1997, 1015, 14380, 1015, 24529, 2361, 21161, 14817, 4118, 1516, 3786, 6949, 8808, 1998, 12136, 2007, 1037, 2192, 23228, 2127, 5744, 1998, 2092, 5100, 1012, 5587, 1999, 1996, 24582, 2075, 5699, 2978, 2011, 2978, 1010, 2059, 1996, 14380, 27838, 3367, 1998, 21161, 1516, 2191, 2469, 2000, 4666, 12246, 1012, 10097, 2023, 3031, 1037, 3294, 12981, 9850, 1012, 14753, 10439, 20624, 2102, 999, 100, 3602, 1516, 2138, 1045, 2001, 2478, 2878, 4168, 2389, 13724, 1010, 1996, 9850, 1521, 1055, 14902, 2003, 1037, 2978, 3082, 2021, 2065, 2017, 9544, 1037, 19013, 9850, 1010, 2224, 5810, 13724, 1998, 2005, 1037, 1523, 2062, 11052, 1524, 9850, 1010, 5587, 1999, 1015, 1013, 1016, 2452, 1997, 2092, 11055, 1998, 10560, 27141, 7222, 23804, 2007, 1996, 4954, 12760, 2005, 1996, 9850, 1998, 8670, 3489, 1037, 2261, 2781, 2936, 1012, 2017, 2064, 2036, 5587, 1015, 1013, 1016, 2452, 1997, 24881, 18489, 2015, 2030, 15547, 11493, 2015, 1010, 2205, 1010, 2065, 2017, 2066, 1012, 1045, 2134, 1521, 1056, 2404, 2151, 1999, 2023, 17974, 2182, 2138, 2026, 2155, 2987, 1521, 1056, 2428, 2066, 2068, 1999, 2037, 22619, 1012, 1045, 2001, 3752, 1996, 1996, 2732, 6399, 2070, 2051, 2067, 1998, 2234, 2408, 1037, 2200, 5875, 3720, 2006, 2070, 10247, 2000, 2393, 2149, 4503, 1996, 10427, 1997, 6595, 3893, 1012, 10043, 2000, 2054, 2057, 2228, 1010, 27451, 2003, 2025, 2019, 1999, 10280, 18275, 1012, 27451, 1010, 2108, 1037, 2110, 1997, 2568, 1010, 2064, 2022, 2499, 2006, 1998, 5301, 1012, 27451, 2003, 2025, 2069, 6827, 2043, 2358, 3089, 6455, 2000, 19148, 2256, 3289, 1998, 19509, 1010, 2021, 2009, 2036, 24840, 2256, 2836, 1012, 2009, 2003, 3928, 1998, 9530, 15900, 6313, 2138, 2043, 2028, 2003, 21931, 1010, 2057, 2031, 1037, 3893, 1998, 9657, 2514, 2000, 2149, 1998, 2023, 2943, 2064, 2022, 2371, 2011, 2111, 2105, 2149, 1010, 2022, 2009, 2012, 2188, 2030, 2012, 2147, 1012, 100, 1996, 3861, 2682, 2001, 6267, 1999, 1996, 5095, 2695, 1010, 4501, 1998, 2001, 4993, 2011, 2019, 3063, 2315, 13222, 1012, 2002, 3881, 2023, 8266, 2000, 2265, 1996, 3643, 1997, 27451, 1999, 2166, 1012, 2002, 2056, 1010, 1523, 2111, 2031, 7167, 1997, 2919, 2477, 2183, 2006, 1999, 2166, 1010, 2029, 2024, 3491, 2011, 1996, 5931, 8983, 2098, 2311, 1012, 2009, 2003, 1037, 5931, 2311, 2029, 2017, 2064, 2360, 2003, 6135, 2757, 1010, 2004, 2017, 2064, 2514, 2011, 2559, 2012, 1996, 14902, 2006, 1996, 3681, 1012, 1996, 2190, 2112, 1997, 2166, 2003, 2008, 2045, 2003, 2467, 1037, 4097, 1997, 3246, 1010, 1998, 2008, 2003, 3491, 2011, 1996, 13541, 1012, 2061, 2026, 4145, 2003, 2008, 2017, 2031, 2000, 2228, 13567, 1998, 14817, 3893, 3787, 1997, 2166, 2000, 2444, 3458, 1996, 2919, 2477, 2183, 2006, 1999, 2115, 11301, 1012, 1999, 1037, 12264, 18223, 1010, 27451, 1999, 2166, 2003, 1996, 3145, 2000, 3112, 2005, 2469, 999, 1524, 2129, 2995, 999, 2909, 10180, 10888, 2056, 1999, 4051, 1010, 1523, 1045, 2572, 2019, 23569, 27605, 3367, 999, 2009, 2515, 2025, 4025, 2000, 2022, 2172, 2224, 2108, 2505, 2842, 1012, 1524, 2429, 2000, 2470, 1010, 21931, 2111, 2868 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3415, 15327, 1041, 17603, 2102, 29097, 1063, 3853, 1035, 11307, 6633, 13876, 8516, 3170, 1006, 5164, 1024, 5164, 1007, 1063, 2709, 5164, 999, 1027, 1027, 1000, 1000, 1025, 1065, 1013, 1008, 1008, 1008, 100, 100, 100, 100, 100, 100, 100, 100, 1636, 1008, 1013, 1030, 3259, 1012, 28159, 9167, 2465, 17552, 9153, 2618, 8908, 3259, 1012, 2918, 9006, 29513, 3372, 1063, 1013, 1008, 1008, 1008, 1030, 4722, 1008, 1013, 2270, 3191, 2239, 2135, 2006, 22864, 24238, 18780, 22305, 2098, 1024, 7755, 1012, 4742, 1027, 2047, 7755, 1012, 4742, 1006, 1007, 1025, 2270, 2544, 1024, 5164, 1025, 2270, 3115, 4063, 11444, 6024, 5054, 3085, 2094, 1024, 22017, 20898, 1025, 2270, 14902, 10258, 16503, 8189, 23242, 1024, 22017, 20898, 1025, 2270, 25312, 2290, 3207, 13876, 10222, 3085, 2094, 1024, 22017, 20898, 1025, 2270, 14902, 8873, 21928, 7088, 6499, 13181, 24330, 1024, 4654, 2102, 1035, 14902, 1035, 11307, 1035, 2019, 19565, 13181, 24330, 1064, 19701, 1025, 2270, 8703, 19731, 18413, 5397, 4135, 2094, 1024, 2151, 1025, 2270, 4098, 18209, 14900, 1024, 21318, 3372, 1025, 2270, 4098, 16874, 10288, 18209, 14900, 1024, 21318, 3372, 1025, 2270, 4098, 18209, 14900, 4697, 1024, 21318, 3372, 1025, 2270, 4098, 10841, 4783, 2863, 4523, 4697, 1024, 21318, 3372, 1025, 2270, 4098, 7389, 4063, 8569, 12494, 4697, 1024, 21318, 3372, 1025, 2270, 4098, 16874, 10288, 19496, 14192, 3726, 24817, 1024, 21318, 3372, 1025, 2270, 4098, 7088, 6499, 13181, 7685, 1024, 21318, 3372, 1025, 2270, 4098, 14417, 3597, 16671, 1024, 21318, 3372, 1027, 2484, 1025, 2270, 4098, 28139, 28472, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 2691, 10288, 29048, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 19449, 10288, 29048, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 15778, 10288, 29048, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 2691, 3207, 23460, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 19449, 3207, 23460, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 15778, 3207, 23460, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 3191, 2239, 2135, 3154, 18717, 1024, 3609, 1027, 3609, 1012, 3443, 1006, 1007, 1025, 2270, 3191, 2239, 2135, 3193, 6442, 1024, 28667, 23395, 1027, 28667, 23395, 1012, 3443, 1006, 1007, 1025, 2270, 3191, 2239, 2135, 11859, 1024, 11859, 1027, 2047, 11859, 1006, 1007, 1025, 2270, 3191, 2239, 2135, 12398, 7874, 20389, 7377, 4063, 20760, 8950, 2015, 1024, 3191, 2239, 2135, 1026, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 5164, 1065, 1028, 1027, 1063, 7661, 1035, 19449, 1024, 1000, 1000, 1010, 7661, 1035, 4088, 1035, 19449, 1024, 1000, 1000, 1010, 7661, 1035, 2203, 1035, 19449, 1024, 1000, 1000, 1010, 7661, 1035, 15778, 1024, 1000, 1000, 1010, 7661, 1035, 4088, 1035, 15778, 1024, 1000, 1000, 1010, 7661, 1035, 2203, 1035, 15778, 1024, 1000, 1000, 1010, 1065, 1025, 1013, 1008, 1008, 1008, 1008, 1013, 2270, 3191, 2239, 2135, 17053, 2015, 1027, 1063, 2224, 7138, 2863, 2361, 1024, 6270, 1010, 23942, 16102, 15568, 1024, 6270, 1010, 8267, 16102, 15568, 1024, 6270, 1010, 12731, 13112, 9335, 2243, 1024, 3259, 1012, 6741, 1012, 2498, 1010, 17961, 3597, 16671, 1024, 1014, 1010, 5923, 3597, 16671, 1024, 1014, 1010, 1041, 17603, 2102, 2475, 7983, 4063, 3597, 16671, 1024, 1014, 1010, 5119, 8569, 12494, 1024, 2047, 14257, 16703, 2906, 9447, 1006, 1018, 1007, 1010, 3712, 8758, 18209, 5397, 1024, 19701, 2004, 1006, 2918, 18209, 5397, 1064, 19701, 1007, 1010, 1065, 1025, 2270, 17552, 7559, 18150, 1024, 17552, 18209, 5397, 1064, 19701, 1027, 19701, 1025, 2270, 8205, 16102, 2121, 20760, 8950, 2015, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 5164, 1065, 1064, 19701, 1027, 19701, 1025, 1013, 1008, 1008, 1008, 1008, 1013, 2270, 17552, 1024, 1006, 4950, 1024, 4950, 1010, 3430, 1029, 1024, 3430, 1010, 17552, 7559, 18150, 1029, 1024, 17552, 18209, 5397, 1007, 1027, 1028, 11675, 1027, 19701, 999, 1025, 1013, 1008, 1008, 1008, 1008, 1013, 2270, 4009, 1024, 1006, 4009, 9289, 2140, 1024, 4009, 9289, 2140, 1010, 3430, 1029, 1024, 3430, 1064, 19701, 1007, 1027, 1028, 11675, 1027, 19701, 999, 1025, 1013, 1013, 100, 100, 100, 1740, 100, 1744, 1763, 1858, 100, 100, 100, 1010, 100, 100, 100, 100, 100, 100, 100, 100, 100, 2797, 1035, 8833, 8486, 2705, 7712, 3207, 13876, 2232, 8569, 12494, 1024, 22017, 20898, 1027, 6270, 1025, 2797, 1035, 13091, 2378, 18780, 1024, 22017, 20898, 1027, 2995, 1025, 1013, 1013, 2797, 1035, 13091, 5833, 18780, 1024, 22017, 20898, 1027, 2995, 1025, 1013, 1013, 2797, 1035, 13091, 7011, 16761, 1024, 14257, 1027, 1015, 1012, 1014, 1025, 2797, 1035, 4309, 2863, 14853, 1024, 4309, 2863, 14853, 1027, 4309, 2863, 14853, 1012, 3904, 1025, 1013, 1013, 28681, 2080, 2693, 2000, 17053, 2015, 5123, 3191, 2239, 2135, 1035, 2110, 8189, 13510, 1024, 3191, 2239, 2135, 2906, 9447, 1026, 1043, 7096, 2546, 1012, 12939, 12259, 1028, 1027, 1031, 1043, 7096, 2546, 1012, 12939, 12259, 1012, 12586, 1010, 1043, 7096, 2546, 1012, 12939, 12259, 1012, 12731, 3363, 12172, 1010, 1043, 7096, 2546, 1012, 12939, 12259, 1012, 5995, 22199, 1033, 1025, 5123, 3191, 2239, 2135, 1035, 17053, 9153, 17389, 22966, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 22017, 20898, 1064, 6151, 28344, 1065, 1027, 1063, 1065, 1025, 5123, 1035, 2131, 9006, 8202, 10288, 29048, 2015, 1006, 1007, 1063, 2292, 14305, 1027, 1000, 1000, 1025, 1013, 1013, 15778, 10288, 29048, 2015, 1012, 2065, 1006, 2023, 1012, 3115, 4063, 11444, 6024, 5054, 3085, 2094, 1007, 1063, 14305, 1009, 1027, 1000, 1001, 5331, 1043, 2140, 1035, 1051, 2229, 1035, 3115, 1035, 16942, 1024, 9585, 1032, 1050, 1000, 1025, 1065, 2065, 1006, 2023, 1012, 25312, 2290, 3207, 13876, 10222, 3085, 2094, 1007, 1063, 14305, 1009, 1027, 1000, 1001, 5331, 1043, 2140, 1035, 4654, 2102, 1035, 25312, 2290, 1035, 5995, 1024, 9585, 1032, 1050, 1000, 1025, 1065, 2065, 1006, 2023, 1012, 14902, 10258, 16503, 8189, 23242, 1007, 1063, 14305, 1009, 1027, 1000, 1001, 5331, 1043, 2140, 1035, 4654, 2102, 1035, 25312, 2290, 1035, 5995, 1024, 9585, 1032, 1050, 1000, 1025, 1065, 2023, 1012, 15778, 10288, 29048, 2015, 1027, 14305, 1025, 1065, 5123, 1035, 2131, 9006, 11442, 12879, 10586, 1006, 1007, 1063, 2292, 11859, 1027, 1000, 1000, 1025, 1013, 1013, 2691, 3207, 23460, 2015, 1012, 11859, 1009, 1027, 1000, 11718, 1000, 1009, 2023, 1012, 4098, 28139, 28472, 1009, 1000, 14257, 1025, 1032, 1050, 1000, 1025, 11859, 1009, 1027, 1000, 11718, 1000, 1009, 2023, 1012, 4098, 28139, 28472, 1009, 1000, 20014, 1025, 1032, 1050, 1000, 1025, 2023, 1012, 2691, 3207, 23460, 2015, 1027, 11859, 1025, 11859, 1027, 1000, 1000, 1025, 1013, 1013, 19449, 3207, 23460, 2015, 2023, 1012, 19449, 3207, 23460, 2015, 1027, 11859, 1025, 11859, 1027, 1000, 1000, 1025, 1013, 1013, 15778, 3207, 23460, 2015, 11859, 1009, 1027, 8703, 11140, 16814, 1012, 17181, 2015, 1035, 11968, 2015, 1035, 15778, 1009, 1000, 1032, 1050, 1000, 1025, 2023, 1012, 15778, 3207, 23460, 2015, 1027, 11859, 1025, 1065, 5123, 1035, 2131, 2368, 3597, 4667, 9006, 29513, 7666, 1006, 17181, 1024, 14902, 2368, 3597, 4667, 1007, 1063, 6942, 1006, 17181, 1007, 1063, 2553, 14902, 2368, 3597, 4667, 1012, 7399, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 7399, 1005, 1010, 1005, 1006, 3643, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 5034, 18259, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 5034, 18259, 1005, 1010, 1005, 1006, 3643, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 12129, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2063, 1005, 1010, 1005, 1006, 3643, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 2213, 2581, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2213, 1005, 1010, 1005, 1006, 3643, 1010, 1021, 1012, 1014, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 2213, 16048, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2213, 1005, 1010, 1005, 1006, 3643, 1010, 2385, 1012, 1014, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 4181, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2094, 1005, 1010, 1005, 1006, 3643, 1010, 17273, 1012, 1014, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 13091, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 13091, 1005, 1010, 1005, 1006, 3643, 1010, 14257, 1006, 13091, 1035, 5387, 1007, 1007, 1005, 1033, 1025, 12398, 1024, 5466, 2047, 7561, 1006, 1005, 4895, 6342, 9397, 15613, 17181, 1024, 1005, 1009, 17181, 1007, 1025, 1065, 1065, 5123, 1035, 2131, 5524, 2863, 14853, 11263, 27989, 1006, 4309, 2863, 14853, 1024, 4309, 2863, 14853, 1007, 1063, 2292, 4309, 2863, 14853, 18442, 1027, 1000, 1000, 1025, 6942, 1006, 4309, 2863, 14853, 1007, 1063, 2553, 4309, 2863, 14853, 1012, 7399, 5524, 2863, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 7399, 1005, 1025, 3338, 1025, 2553, 4309, 2863, 14853, 1012, 27788, 13778, 5643, 2863, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 27788, 11783, 1005, 1025, 3338, 1025, 2553, 4309, 2863, 14853, 1012, 4895, 7507, 17724, 2475, 5524, 2863, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 4895, 7507, 17724, 2475, 1005, 1025, 3338, 1025, 2553, 4309, 2863, 14853, 1012, 25022, 23585, 15104, 14545, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 23569, 27605, 5422, 16567, 2239, 1005, 1025, 3338, 1025, 12398, 1024, 5466, 2047, 7561, 1006, 1005, 4895, 6342, 9397, 15613, 4309, 2863, 14853, 1024, 1005, 1009, 4309, 2863, 14853, 1007, 1025, 1065, 2709, 1036, 2310, 2278, 2509, 4309, 2863, 14853, 1006, 2310, 2278, 2509, 3609, 1007, 1063, 2709, 1002, 1063, 4309, 2863, 14853, 18442, 1065, 4309, 2863, 14853, 1006, 3609, 1007, 1025, 1065, 1032, 1050, 1036, 1025, 1065, 5123, 1035, 2131, 2618, 2595, 12260, 15305, 4667, 11263, 27989, 1006, 3853, 18442, 1024, 5164, 1010, 17181, 1024, 14902, 2368, 3597, 4667, 1007, 1063, 9530, 3367, 6177, 1027, 2023, 1012, 1035, 2131, 2368, 3597, 4667, 9006, 29513, 7666, 1006, 17181, 1007, 1025, 2709, 1005, 2310, 2278, 2549, 1005, 1009, 3853, 18442, 1009, 1005, 1006, 2310, 2278, 2549, 3643, 1007, 1063, 2709, 7399, 3406, 1005, 1009, 6177, 1031, 1014, 1033, 1009, 6177, 1031, 1015, 1033, 1009, 1005, 1025, 1065, 1005, 1025, 1065, 5123, 1035, 2131, 2618, 2595, 14273, 8586, 7716, 2075, 11263, 27989, 1006, 3853, 18442, 1024, 5164, 1010, 17181, 1024, 14902, 2368, 3597, 4667, 1007, 1063, 9530, 3367, 10346, 4818, 2368, 3597, 4667, 1027, 1006, 2023, 1012, 1035, 13091, 2378, 18780, 1004, 1004, 17181, 1027, 1027, 1027, 14902, 2368, 3597, 4667, 1012, 7399, 2368, 3597, 4667, 1007, 1029, 14902, 2368, 3597, 4667, 1012, 13091, 2368, 3597, 4667, 1024, 17181, 1025, 9530, 3367, 6177, 1027, 2023, 1012, 1035, 2131, 2368, 3597, 4667, 9006, 29513, 7666, 1006, 10346, 4818, 2368, 3597, 4667, 1007, 1025, 2709, 1005, 2310, 2278, 2549, 1005, 1009, 3853, 18442, 1009, 1005, 1006, 2310, 2278, 2549, 3643, 1007, 1063, 2709, 1005, 1009, 6177, 1031, 1014, 1033, 1009, 1005, 2000, 4179, 2906, 1005, 1009, 6177, 1031, 1015, 1033, 1009, 1005, 1025, 1065, 1005, 1025, 1065, 1013, 1008, 1008, 1008, 1030, 4722, 1008, 1013, 2270, 1035, 7172, 2527, 21724, 12879, 10586, 1006, 17552, 2121, 1024, 3259, 1012, 2918, 7389, 4063, 2121, 1064, 19701, 1007, 1063, 2292, 2224, 7138, 2863, 2361, 1027, 6270, 1025, 2292, 8267, 16102, 15568, 1027, 6270, 1025, 2292, 5923, 3597, 16671, 1027, 1014, 1025, 9530, 3367, 11859, 1027, 2023, 1012, 11859, 1025, 9530, 3367, 17053, 2015, 1027, 2023, 1012, 17053, 2015, 1025, 2065, 1006, 17552, 2121, 1007, 1063, 2224, 7138, 2863, 2361, 1027, 17552, 2121, 1012, 9570, 2953, 1027, 1027, 1027, 20437, 7389, 4063, 2121, 1004, 1004, 1006, 17552, 2121, 2004, 20437, 7389, 4063, 2121, 1007, 1012, 2422, 2863, 8091, 3207, 2595, 1028, 1027, 1014, 1025, 8267, 16102, 15568, 1027, 17053, 2015, 1012, 23942, 16102, 15568, 1004, 1004, 17552, 2121, 1012, 8267, 16102, 15568, 1025, 5923, 3597, 16671, 1027, 17552, 2121, 1012, 9570, 2953, 1027, 1027, 1027, 19937, 7834, 28362, 11563, 2121, 1029, 8785, 1012, 8117, 1006, 2023, 1012, 4098, 14417, 3597, 16671, 1010, 1006, 17552, 2121, 2004, 19937, 7834, 28362, 11563, 2121, 1007, 1012, 5923, 3597, 16671, 1007, 1024, 1014, 1025, 1065, 2065, 1006, 17053, 2015, 1012, 2224, 7138, 2863, 2361, 999, 1027, 1027, 2224, 7138, 2863, 2361, 1007, 1063, 2065, 1006, 2224, 7138, 2863, 2361, 1007, 1063, 11859, 1012, 5587, 3207, 23460, 1006, 8703, 25547, 23460, 1012, 2224, 1035, 2422, 2863, 2361, 1007, 1025, 1065, 2842, 1063, 11859, 1012, 3718, 12879, 3170, 1006, 8703, 25547, 23460, 1012, 2224, 1035, 2422, 2863, 2361, 1007, 1025, 1065, 17053, 2015, 1012, 2224, 7138, 2863, 2361, 1027, 2224, 7138, 2863, 2361, 1025, 1065, 2065, 1006, 17053, 2015, 1012, 5923, 3597, 16671, 999, 1027, 1027, 5923, 3597, 16671, 1007, 1063, 2065, 1006, 5923, 3597, 16671, 1028, 1014, 1007, 1063, 11859, 1012, 5587, 3207, 23460, 1006, 8703, 25547, 23460 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5958, 1010, 2255, 6021, 1010, 2263, 4326, 10984, 2005, 5849, 1005, 1055, 6712, 2009, 2071, 2031, 2790, 2000, 1037, 4458, 6931, 10367, 2004, 2295, 2576, 6186, 1999, 3725, 2018, 4719, 1037, 10392, 3973, 26203, 2765, 1012, 2005, 2416, 2420, 1010, 5738, 1996, 9242, 4533, 2598, 2029, 2003, 1996, 4297, 5063, 6820, 3560, 4292, 2005, 1996, 3744, 2798, 2139, 2273, 9351, 2229, 1999, 15500, 1010, 2028, 2001, 3497, 2000, 8087, 1037, 3232, 2007, 1037, 20228, 19629, 4103, 3038, 2909, 4775, 10503, 2442, 2175, 999, 1998, 2006, 1996, 5066, 2154, 1010, 2009, 2001, 1996, 2739, 17088, 1005, 20228, 19629, 17811, 2029, 2623, 2008, 2909, 4775, 1010, 5849, 1997, 1996, 4956, 2610, 1010, 2018, 2908, 1012, 2025, 2004, 1037, 2765, 1997, 1996, 8090, 1997, 2607, 1010, 4496, 1997, 1996, 1999, 15500, 1010, 2029, 2003, 3517, 2000, 2031, 2178, 2093, 2706, 2000, 2448, 1012, 17117, 2414, 3664, 11235, 3779, 1010, 2383, 2468, 3242, 1997, 1996, 4956, 2610, 3691, 1010, 2018, 2081, 3154, 2002, 2359, 2909, 4775, 2041, 1010, 1998, 2295, 2009, 2003, 7919, 4092, 1996, 2188, 3187, 1005, 1055, 3653, 3217, 26792, 2000, 2425, 3725, 1005, 1055, 2327, 2610, 2708, 2000, 2175, 1010, 2006, 1996, 2154, 11235, 3779, 2165, 2010, 3242, 1010, 1996, 5849, 2623, 2010, 8172, 1012, 2002, 2038, 2127, 2285, 1015, 2000, 3154, 2010, 4624, 1010, 1998, 2010, 4112, 2097, 8184, 2202, 2058, 1012, 1996, 2739, 2234, 2083, 2006, 1996, 2154, 2044, 6317, 2708, 7742, 6285, 10094, 7474, 1010, 1037, 3026, 3424, 1011, 10130, 4686, 2961, 1999, 1996, 2491, 2282, 2012, 2047, 3885, 4220, 2006, 2251, 2570, 1010, 2384, 1010, 1996, 2154, 3744, 2798, 2139, 2273, 9351, 2229, 2001, 2730, 1010, 2018, 2445, 3350, 1012, 10739, 3980, 2013, 2745, 15352, 25196, 1010, 3772, 2005, 1996, 2139, 2273, 9351, 2229, 2155, 1010, 2006, 2129, 3744, 2798, 1010, 29116, 4453, 2004, 1037, 7404, 8343, 1010, 2001, 9505, 2046, 4518, 4381, 8529, 4063, 16365, 2276, 2011, 13780, 3738, 1010, 1998, 2915, 2757, 1010, 5887, 2072, 10094, 7474, 2056, 1996, 2168, 2518, 2071, 4148, 2153, 1012, 2028, 3160, 5689, 2058, 2023, 6771, 2013, 1996, 2707, 2038, 2042, 2339, 2610, 2081, 2053, 3535, 2000, 20010, 8113, 1996, 3395, 2379, 2010, 2188, 1010, 2029, 2001, 2104, 9867, 1010, 1998, 2339, 1011, 3391, 2065, 2027, 3373, 2002, 2453, 2022, 1037, 5920, 9472, 1011, 2002, 2001, 3039, 2612, 2000, 3604, 2006, 2270, 3665, 1010, 1998, 2175, 2091, 2000, 1996, 7270, 1012, 2178, 5936, 1996, 6270, 4447, 2008, 3744, 2798, 2018, 26979, 21501, 1010, 1998, 1996, 2777, 1005, 1055, 3988, 15175, 2791, 2000, 2130, 6449, 2027, 2018, 2730, 1996, 3308, 2158, 1012, 14120, 2000, 3980, 2013, 2745, 15352, 1010, 5887, 2072, 10094, 7474, 3555, 2000, 2031, 2042, 2409, 2006, 1996, 2851, 1997, 1996, 3169, 2008, 9867, 3738, 2018, 13567, 4453, 1037, 1000, 8343, 1000, 2975, 14201, 1999, 9676, 2346, 1010, 10722, 4877, 2063, 2940, 1010, 2348, 1999, 2755, 1996, 2961, 1010, 1000, 3581, 1000, 2018, 2069, 2056, 1996, 2711, 2975, 2001, 4276, 1037, 2117, 2298, 1012, 2610, 2636, 2013, 1996, 2051, 2265, 2002, 2001, 3615, 2000, 2069, 2004, 2019, 1000, 20293, 3287, 1000, 1012, 1999, 2755, 1996, 3478, 5920, 9472, 16543, 28609, 3183, 1996, 2610, 2020, 10743, 2044, 2001, 7880, 2379, 9676, 2346, 1010, 2030, 4518, 4381, 1012, 2002, 2018, 2908, 2000, 10309, 1010, 2101, 2635, 1996, 9944, 1011, 2732, 2000, 3000, 1010, 1998, 2001, 2776, 14620, 1999, 4199, 1012, 5887, 2072, 10094, 7474, 6380, 2383, 2124, 3599, 2073, 2610, 3197, 2020, 2076, 1996, 3169, 1012, 2002, 2036, 3555, 2025, 2000, 2031, 2042, 5204, 2008, 3744, 2798, 1005, 15882, 1010, 4820, 2010, 8720, 1010, 2001, 2179, 2006, 1996, 2835, 2279, 2000, 2029, 2002, 2001, 2730, 1012, 2007, 1996, 2694, 2739, 4129, 1997, 2909, 4775, 10503, 1005, 1055, 8172, 1010, 2057, 2387, 1037, 12528, 1997, 2909, 4775, 13856, 2012, 1037, 2811, 3034, 2008, 2154, 1999, 2384, 2008, 1996, 2610, 2018, 2730, 1037, 2124, 7404, 8343, 1012, 2009, 2001, 2004, 2065, 1996, 2610, 2018, 2787, 2000, 3102, 1037, 1000, 9452, 1000, 1010, 1998, 2059, 2383, 2730, 2019, 7036, 2158, 1010, 2027, 2787, 2008, 2002, 2052, 2031, 2000, 2079, 1012, 2111, 2031, 2042, 3038, 2005, 2070, 2051, 2008, 10503, 1010, 2066, 2010, 17283, 1999, 22501, 2395, 2012, 1996, 2051, 2001, 1037, 1038, 1011, 16374, 1012, 2008, 2453, 2031, 2042, 2204, 3426, 2005, 1996, 5849, 2000, 12897, 1010, 2750, 1996, 8884, 5150, 2002, 2363, 2013, 2111, 1999, 1996, 4428, 2283, 1010, 1998, 5546, 2059, 3664, 1010, 6358, 27656, 1012, 2021, 2339, 2085, 1029, 2001, 2010, 8172, 2505, 2000, 2079, 2007, 1996, 4288, 1997, 3744, 2798, 2139, 2273, 9351, 2229, 1010, 2030, 2038, 2008, 3024, 1037, 22369, 20150, 2013, 2060, 5320, 1029, 3744, 2798, 1005, 9064, 2031, 3843, 1996, 2206, 4861, 1024, 1996, 2273, 9351, 2229, 2155, 2003, 7135, 2011, 1996, 2739, 1997, 2909, 4775, 10503, 1005, 1055, 8172, 1010, 2004, 2009, 3310, 1999, 1996, 2690, 1997, 1996, 1999, 15500, 2046, 3744, 1005, 1055, 2331, 1012, 2004, 2132, 1997, 1996, 4956, 2610, 1010, 2909, 4775, 10503, 2323, 2031, 2042, 4821, 26771, 2005, 1996, 2331, 1997, 3744, 2798, 2139, 2273, 9351, 2229, 1012, 2057, 2903, 2002, 5121, 6468, 5368, 2005, 1996, 3658, 2409, 2055, 3744, 1998, 1996, 3104, 2039, 2011, 1996, 2610, 1999, 1996, 10530, 1997, 1996, 5008, 1012, 2002, 2130, 2699, 2000, 2644, 1996, 12997, 9468, 11538, 2256, 5542, 1005, 1055, 2331, 1012, 1996, 3768, 1997, 17842, 1997, 1996, 2406, 1005, 1055, 2087, 3026, 2610, 2961, 2003, 2028, 1997, 1996, 2087, 16880, 5919, 1997, 2023, 10576, 1012, 2005, 2909, 4775, 10503, 2000, 2110, 2008, 2002, 2038, 5295, 1005, 2025, 2138, 1997, 2151, 15428, 2030, 15399, 1997, 1996, 2436, 1005, 3568, 19444, 2015, 2256, 6772, 2008, 2002, 1998, 1996, 4956, 2610, 2145, 10214, 2000, 5138, 2440, 5368, 2005, 3744, 1005, 1055, 2331, 1012, 2005, 1996, 2155, 1010, 2909, 4775, 10503, 24642, 2515, 2025, 2689, 2505, 1012, 2256, 3579, 2003, 2006, 1996, 1999, 15500, 2073, 2057, 3246, 2057, 2064, 2424, 2041, 1996, 2878, 3606, 2055, 3744, 1005, 1055, 4288, 1012, 2057, 26751, 1996, 14392, 1998, 9556, 1998, 3246, 2009, 2097, 3288, 2149, 3553, 2000, 3425, 1998, 2005, 4084, 2000, 2022, 2579, 2000, 5676, 2008, 2053, 2060, 2155, 2038, 2000, 9015, 1996, 21782, 2057, 2031, 2058, 1996, 2197, 2093, 2086, 1012, 1008, 9597, 2000, 10503, 1005, 1055, 8172, 2265, 2019, 15741, 24453, 1997, 4331, 4193, 1996, 4956, 2610, 3094, 1012, 4422, 11687, 24066, 1010, 1037, 2280, 4112, 3353, 5849, 2040, 2768, 2004, 5622, 2497, 17183, 4018, 2005, 3664, 1997, 2414, 1010, 2056, 2008, 2188, 3187, 14855, 2278, 15549, 3044, 2001, 2036, 6150, 1999, 10503, 1005, 1055, 6712, 1012, 2002, 2409, 1996, 4035, 1000, 2006, 1996, 2154, 1996, 3664, 4150, 1996, 3242, 1997, 1996, 4956, 2610, 3691, 2002, 2758, 22017, 1998, 1996, 5849, 14523, 1012, 1000, 2025, 2069, 2008, 1010, 2009, 2003, 2941, 2069, 1996, 2188, 3187, 2008, 2071, 2486, 1996, 5849, 2000, 2681, 1998, 3568, 1996, 2188, 3187, 2071, 2031, 2357, 2461, 1998, 2056, 2000, 4775, 10503, 1998, 2000, 1996, 3664, 1024, 1005, 1045, 1005, 1049, 3374, 1010, 2017, 2123, 1005, 1056, 2031, 1996, 2373, 1010, 3664, 1010, 2000, 2079, 2008, 1012, 1045, 2215, 1996, 5849, 2000, 2994, 1012, 1005, 2021, 2016, 2134, 1005, 1056, 1025, 2016, 3039, 1996, 5849, 2000, 2175, 1012, 1000, 11687, 24066, 2081, 2010, 2171, 2004, 1996, 2087, 3026, 10132, 5637, 2610, 2961, 1010, 1998, 2005, 7694, 1037, 4314, 3343, 2006, 4319, 2224, 1011, 3391, 17985, 1011, 2247, 2007, 2007, 2010, 4073, 2000, 5114, 3404, 2013, 2402, 2304, 2111, 2043, 2002, 2001, 3474, 3625, 2005, 21107, 1999, 12559, 11031, 1012, 6358, 27656, 3555, 2008, 2045, 2018, 2042, 1037, 2310, 13629, 5946, 2114, 10503, 2013, 1996, 2034, 2154, 1997, 2010, 12396, 5605, 1012, 1000, 1996, 13079, 5755, 2020, 2025, 2216, 2040, 10648, 2032, 2013, 1996, 2187, 2021, 2216, 2040, 2215, 2019, 2203, 2000, 2054, 2027, 2655, 1005, 10317, 6149, 1005, 1011, 2008, 2003, 1010, 2512, 1011, 16939, 1516, 21107, 1999, 2414, 1012, 1000, 8299, 1024, 1013, 1013, 7479, 1012, 6697, 1012, 2522, 1012, 2866, 1013, 2866, 1013, 2263, 1013, 13323, 1013, 6021, 1013, 10503, 1012, 2414, 1996, 10503, 8172, 4076, 10281, 1999, 1996, 2610, 2486, 2993, 2058, 13519, 2011, 2877, 2304, 1998, 4004, 3738, 2008, 5762, 2964, 2003, 2145, 7320, 2426, 2317, 8628, 1012, 5564, 1010, 2067, 2012, 1996, 9242, 1010, 6467, 1998, 14009, 2020, 2145, 14163, 13112, 2058, 10960, 2011, 6317, 2708, 7742, 10094, 7474, 2000, 3980, 2004, 2000, 2054, 2253, 3308, 1999, 1996, 3169, 2029, 4504, 1999, 1996, 2331, 1997, 3744, 2798, 2139, 2273, 23072, 1012, 1000, 1045, 2572, 2025, 2469, 2505, 2106, 2941, 2175, 3308, 1000, 1010, 3880, 5887, 2072, 10094, 7474, 1012, 2356, 2059, 3251, 2045, 2001, 1037, 2613, 3891, 2008, 2009, 2071, 4148, 2153, 1010, 1996, 2961, 3880, 1024, 1000, 2045, 2003, 1010, 2909, 1010, 2748, 1012, 1000, 2023, 2003, 1037, 10503, 23032, 2128, 2694, 2739, 8333, 1997, 2010, 2570, 2251, 2384, 5027, 2358, 10085, 4381, 2273, 9351, 2229, 2824, 1997, 3041, 2008, 2154, 1012, 2026, 3638, 1997, 10503, 3491, 2006, 2694, 2008, 3944, 1011, 2445, 2008, 2002, 4447, 2025, 2000, 2031, 2124, 2040, 2018, 2042, 2730, 4385, 1012, 1010, 2003, 2008, 2002, 7034, 1000, 2151, 2331, 2003, 15140, 1000, 1012, 1045, 2572, 2025, 6224, 2000, 2404, 2032, 1999, 1037, 13026, 2422, 1045, 2572, 8025, 2008, 2002, 2081, 2023, 7615, 2445, 2008, 2002, 4447, 2025, 2000, 2031, 2124, 2054, 2018, 2941, 2908, 2091, 1998, 2008, 2019, 7036, 2266, 1997, 1996, 2270, 2018, 2042, 10676, 2000, 9017, 1012, 2026, 3638, 2003, 2036, 2008, 2206, 2006, 2013, 2010, 1000, 2151, 2331, 2003, 15140, 1000, 17674, 2002, 2001, 11177, 2135, 2404, 2104, 3778, 2000, 26056, 2040, 2018, 2042, 2730, 1029, 2009, 2001, 2059, 5939, 12707, 2002, 2056, 2008, 2009, 11333, 16183, 2140, 10975, 2102, 1997, 2019, 2412, 4423, 3424, 9452, 6728, 4385, 1012, 1010, 1011, 2002, 4912, 2000, 13366, 2571, 6593, 1996, 5793, 1011, 2092, 2040, 2038, 2042, 2915, 1029, 2000, 6714, 2185, 2013, 1996, 5025, 2100, 4767, 1997, 1996, 6778, 1012, 1999, 2557, 2549, 1005, 1055, 1996, 2865, 2265, 2029, 2246, 2012, 10503, 2002, 2001, 10648, 2011, 1996, 2132, 1997, 1996, 4126, 12060, 2523, 1997, 9419, 2000, 1996, 2865, 1998, 10468, 11703, 7416, 6455, 2012, 2008, 2570, 2251, 2384, 2811, 3034, 1011, 16215, 5332, 2003, 1996, 2132, 1997, 1996, 13675, 2050, 2437, 1996, 3442, 19238, 1012, 2021, 1045, 2031, 2464, 2053, 2028, 2000, 3058, 2202, 2039, 2010, 2570, 2251, 2384, 7615, 2008, 1000, 2151, 2331, 2003, 15140, 1000, 2012, 1037, 2051, 2043, 2002, 4447, 2025, 2000, 2031, 2124, 2054, 2018, 2908, 2091, 1012, 2610, 2079, 2025, 2079, 11883, 20228, 19513, 12762, 2043, 2027, 8526, 1999, 4273, 5607, 21100, 1011, 3780, 8860, 2031, 20228, 28198, 1997, 4311, 2008, 2027, 17678, 16098, 16089, 3366, 2107, 5607, 21100, 2000, 3710, 2004, 1037, 5432, 2000, 2500, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2009, 3047, 999, 2047, 2259, 18079, 1012, 4080, 12731, 19506, 2772, 2046, 2375, 1037, 9095, 2008, 11500, 7796, 1037, 18667, 2078, 2306, 2184, 2086, 1997, 3988, 5622, 19023, 5397, 1012, 2023, 2047, 2375, 2038, 2116, 13494, 2005, 29300, 2015, 1999, 2047, 2259, 2004, 2092, 2004, 2408, 1996, 2406, 1012, 2339, 2003, 2047, 2259, 2061, 2590, 1029, 2045, 2024, 27502, 1010, 27533, 29300, 2015, 2007, 1037, 6105, 1999, 2047, 2259, 1012, 2008, 2003, 1022, 1003, 1997, 2035, 29300, 2015, 1999, 1996, 1057, 1012, 1055, 1012, 2023, 2028, 2110, 2097, 2275, 1037, 20056, 2005, 2500, 7161, 2000, 3413, 2714, 1999, 2115, 2110, 1012, 1996, 5245, 2005, 18667, 2078, 1011, 4810, 29300, 2015, 2038, 2042, 2105, 2005, 1037, 2200, 2146, 2051, 999, 1996, 2137, 11500, 2523, 2160, 1997, 10284, 4233, 1037, 4367, 1999, 3546, 4637, 27802, 2495, 2004, 4547, 3192, 2005, 1996, 5068, 6821, 1010, 1998, 28667, 2239, 23141, 2008, 2597, 1999, 2456, 1012, 1996, 2820, 1997, 4200, 1521, 1055, 2925, 1997, 8329, 3189, 4455, 2005, 3770, 1003, 1997, 29300, 2015, 2000, 2907, 5065, 1521, 1055, 5445, 2011, 12609, 1010, 9073, 1996, 2342, 2005, 3020, 2495, 1999, 29300, 2015, 2000, 2202, 2729, 1997, 1996, 3020, 11619, 5022, 1999, 2256, 9871, 2291, 1012, 2167, 7734, 2106, 5478, 1037, 18667, 2078, 2127, 2494, 1010, 2043, 2009, 2001, 17068, 1012, 2004, 1037, 2235, 2110, 2007, 1996, 2069, 9095, 2005, 1037, 5065, 1521, 1055, 3014, 1010, 1996, 8329, 15843, 2018, 1037, 4997, 3466, 2006, 2008, 9095, 1012, 2174, 1010, 2085, 2008, 2047, 2259, 2038, 2979, 2023, 2046, 2375, 1010, 1998, 2007, 1996, 2490, 1998, 2147, 1997, 1996, 2137, 11500, 2523, 1010, 2035, 1996, 2110, 2895, 6056, 2015, 1010, 9779, 14536, 1998, 1996, 2728, 3536, 3779, 3192, 1010, 2023, 2003, 2025, 2183, 2185, 1012, 2023, 2001, 1996, 25486, 2391, 1012, 2302, 2893, 2046, 1996, 2470, 1997, 2339, 1037, 18667, 2078, 2323, 2022, 3223, 1010, 1996, 6094, 1999, 2047, 2259, 3264, 2195, 4436, 1012, 4637, 3906, 3264, 2008, 2138, 1997, 4852, 11619, 1997, 1996, 2137, 9871, 2291, 1010, 1998, 5901, 9186, 2974, 1010, 1996, 4547, 7547, 1997, 1996, 29300, 2442, 2022, 4423, 1012, 2009, 2036, 3090, 2008, 1996, 6821, 1997, 1996, 2925, 2442, 2022, 4810, 2000, 4256, 2007, 3674, 12736, 2004, 18843, 1998, 3208, 1997, 3375, 5022, 1012, 2065, 2017, 2644, 1998, 2228, 2055, 2009, 1010, 1996, 29300, 2003, 2788, 1996, 2560, 5161, 9009, 2006, 1037, 4800, 10521, 6895, 28296, 5649, 2136, 1012, 19637, 1010, 27178, 2015, 1010, 2358, 1010, 6887, 27292, 16233, 1998, 2591, 3667, 2035, 2024, 3223, 2000, 2031, 5065, 1521, 1055, 1010, 3040, 1521, 1055, 2030, 11316, 5445, 1012, 2750, 2108, 1996, 2560, 4547, 2135, 4810, 1010, 1996, 29300, 2411, 2038, 2028, 1997, 1996, 2087, 2590, 4395, 2006, 1996, 9871, 2136, 1012, 2061, 1010, 2054, 2515, 1996, 3021, 2360, 3599, 1029, 1996, 3021, 1010, 20118, 15136, 20958, 1011, 1038, 1013, 2061, 6163, 2575, 2620, 2163, 2038, 2048, 2364, 3033, 1012, 2034, 1010, 2009, 9005, 1037, 5741, 8329, 2565, 9312, 3222, 2000, 2191, 11433, 2006, 13500, 2000, 4443, 2046, 8329, 1010, 11343, 1998, 3229, 2000, 27802, 3454, 1998, 2060, 3141, 3314, 1012, 2023, 3189, 1998, 2049, 9556, 2024, 2349, 2000, 1996, 3099, 2306, 2260, 2706, 1012, 1996, 2117, 2112, 1010, 2029, 2003, 4621, 3202, 1010, 2163, 2008, 1523, 1999, 2344, 2000, 3613, 2000, 5441, 8819, 2004, 1037, 5068, 2658, 6821, 1999, 2047, 2259, 2110, 1010, 2031, 12754, 1037, 27802, 3014, 2030, 3020, 1999, 8329, 2306, 2184, 2086, 1997, 3988, 5622, 19023, 5397, 1012, 1524, 2023, 3563, 2930, 1017, 3138, 3466, 2324, 2706, 2044, 1996, 2552, 2150, 2375, 1006, 11703, 1012, 2539, 1010, 2418, 1007, 1012, 2783, 29300, 2015, 1010, 2004, 2092, 2004, 2216, 2747, 8302, 2030, 14223, 9920, 2046, 1037, 2565, 8225, 5068, 11500, 4621, 3058, 1997, 2023, 2552, 1006, 2029, 2003, 11703, 1012, 2539, 1010, 2418, 1007, 2024, 5615, 2098, 1999, 1012, 2023, 2965, 1996, 8910, 1997, 1996, 2375, 4618, 2025, 6611, 2000, 2068, 1012, 2053, 4797, 11500, 2031, 2116, 14477, 3619, 13777, 2098, 3980, 1998, 2116, 3633, 2514, 1996, 2375, 2987, 1521, 1056, 2030, 2180, 1521, 1056, 6611, 2000, 2068, 1012, 1045, 2572, 2469, 1996, 2604, 2005, 5068, 2658, 11500, 1999, 2047, 2259, 2097, 2022, 4640, 2582, 15563, 2006, 2023, 1012, 2054, 2515, 2023, 2375, 2812, 2005, 2017, 1029, 5622, 19023, 5397, 1999, 2047, 2259, 1024, 2065, 2017, 2907, 1037, 6105, 1999, 2047, 2259, 1010, 2130, 2065, 2017, 2024, 2025, 2551, 2045, 1010, 2017, 2024, 5615, 2098, 1999, 1012, 2174, 1010, 2005, 2216, 2040, 2101, 4607, 1996, 9518, 2004, 2019, 29300, 1010, 2065, 2017, 2215, 2000, 2022, 1037, 20174, 1010, 2030, 2907, 1037, 6105, 1999, 2047, 2259, 1010, 2017, 2097, 2991, 2104, 2023, 9095, 1012, 2023, 9095, 2003, 2008, 2017, 4663, 1037, 5065, 1521, 1055, 3014, 2030, 3020, 1999, 8329, 1006, 1996, 2375, 2163, 8329, 1007, 2306, 2184, 2086, 1997, 2115, 3988, 5622, 19023, 5397, 1012, 2005, 2742, 1024, 2017, 2024, 3970, 2046, 2019, 4748, 2078, 2565, 2005, 2023, 2279, 2991, 1999, 3146, 1012, 2017, 2202, 2115, 3988, 11360, 3146, 2000, 2468, 2019, 29300, 1012, 2005, 3056, 4436, 1010, 2017, 5630, 2000, 2693, 2000, 2047, 2259, 1012, 2241, 2006, 1996, 2783, 2862, 1997, 2216, 11819, 2013, 18667, 2078, 1999, 2184, 1010, 2017, 2024, 2025, 5615, 2098, 1999, 1012, 2023, 2965, 2008, 2115, 5119, 2000, 2131, 1037, 18667, 2078, 2030, 3020, 2318, 2007, 2115, 3988, 6105, 1012, 6094, 1999, 2115, 2110, 1024, 2116, 2163, 2031, 2641, 2023, 6094, 1998, 2020, 3666, 2047, 2259, 2007, 2307, 11162, 1012, 2007, 2023, 3021, 1521, 1055, 6019, 2046, 2375, 1999, 2047, 2259, 1010, 2017, 2097, 2156, 2116, 2062, 2163, 2693, 2646, 21991, 6094, 2058, 1996, 2279, 2261, 2086, 1012, 2047, 3933, 2036, 2038, 14223, 6094, 1012, 4547, 9804, 1024, 2045, 2024, 2116, 2783, 7047, 2005, 13523, 7277, 9513, 1999, 8329, 1010, 2007, 2367, 2110, 13797, 2090, 9827, 1010, 5482, 1998, 5065, 1521, 1055, 3454, 1012, 1999, 7547, 2005, 2023, 2000, 2175, 2046, 3466, 1010, 2045, 2097, 2022, 2062, 7047, 2025, 2069, 1999, 2047, 2259, 1010, 2021, 2036, 2408, 1996, 2406, 1012, 2045, 2024, 2116, 29300, 1011, 2000, 1011, 18667, 2078, 3454, 3784, 2004, 2092, 1010, 2061, 1045, 2052, 5987, 2000, 2156, 2122, 3454, 7818, 1012, 5615, 2098, 1024, 2065, 2017, 2024, 5615, 2098, 1999, 2138, 2017, 2024, 2019, 29300, 1010, 2017, 2145, 2089, 2215, 2000, 5136, 2183, 2000, 2131, 2115, 18667, 2078, 1012, 2004, 2062, 8323, 2298, 2000, 10887, 18667, 2078, 1011, 4810, 29300, 2015, 1010, 1998, 2004, 6094, 5942, 18667, 2078, 2030, 3020, 1010, 2017, 2089, 2215, 2000, 5136, 2183, 2067, 2000, 2082, 1012, 4852, 2115, 2495, 2467, 2097, 2507, 2017, 2062, 7047, 1012, 2023, 3021, 2106, 2025, 4148, 11585, 1012, 2009, 2165, 2062, 2084, 2403, 2086, 1997, 11133, 2075, 1012, 1045, 5987, 2008, 2057, 2156, 2256, 2279, 2110, 2000, 5587, 2023, 9095, 2306, 1996, 2279, 2261, 2086, 1012, 2009, 2003, 7823, 2147, 4458, 6094, 1012, 2116, 8628, 1010, 9617, 1011, 2047, 2259, 9568, 2923, 1998, 3021, 13162, 2499, 2926, 2524, 2058, 1996, 2197, 2095, 2000, 2156, 1996, 3144, 6019, 1997, 2023, 3021, 1012, 1523, 1996, 6019, 1997, 2023, 3021, 2046, 2375, 11138, 2086, 1997, 2551, 2646, 1037, 2995, 5792, 1997, 3622, 1011, 2729, 11500, 1010, 5482, 1998, 27802, 4513, 1010, 6821, 10489, 1998, 15631, 1010, 9871, 4128, 1998, 2658, 8924, 1998, 7325, 13010, 1010, 1524, 2056, 8129, 21896, 1010, 5003, 1010, 29300, 1010, 17032, 2078, 1010, 2627, 3237, 2472, 1997, 9617, 2047, 2259, 1012, 1523, 1999, 1996, 2203, 1010, 2009, 2003, 1037, 2663, 2005, 2035, 29300, 2015, 1998, 2256, 5022, 999, 1524, 5352, 3141, 2000, 1520, 7414, 1037, 5065, 1521, 1055, 3014, 1999, 8329, 1521, 4773, 14142, 2683, 1024, 29300, 2000, 18667, 2078, 1024, 25705, 2075, 2115, 6180, 6459, 2007, 2115, 2476, 3289, 1006, 1015, 3967, 17850, 1007, 2007, 1996, 12832, 2008, 3770, 1003, 1997, 11500, 2907, 1037, 5065, 1521, 1055, 3014, 2011, 12609, 1010, 2116, 29300, 1521, 1055, 2089, 2022, 6195, 10787, 2037, 2495, 1012, 2031, 2017, 2641, 2054, 2752, 2306, 8329, 2017, 2453, 2066, 2000, 8849, 1029, 2453, 3056, 6180, 6459, 2393, 2017, 5959, 2070, 8329, 2569, 7368, 2062, 2084, 2500, 1029, 2003, 2115, 3959, 2000, 2147, 1999, 2968, 1010, 3447, 1010, 2495, 2030, 2470, 1029, 2003, 2115, 4792, 2000, 4468, 3563, 3105, 5704, 2107, 2004, 2968, 1029, 3046, 2000, 25705, 2115, 20828, 1998, 6180, 6459, 2007, 1037, 8329, 2535, 2017, 2453, 5959, 999, 3383, 2045, 2003, 2019, 2181, 1997, 8329, 2017, 4033, 1521, 1056, 2641, 2004, 1037, 6061, 2005, 2017, 1012, 2004, 2017, 5630, 2000, 2582, 2115, 2495, 1010, 2019, 4106, 1997, 2470, 1998, 3265, 6180, 6459, 2089, 2393, 2017, 25705, 2115, 3289, 2306, 8329, 2752, 2017, 2453, 5959, 1996, 2087, 1012, 4773, 24594, 2683, 1024, 27673, 2000, 2082, 5147, 1024, 2003, 2085, 1996, 2051, 2005, 1037, 18667, 2078, 1029, 1006, 1015, 3967, 17850, 1007, 2974, 3431, 1012, 9871, 3431, 1012, 1998, 8329, 2003, 5278, 1012, 5083, 2830, 1999, 2115, 2476, 2011, 27673, 2000, 2082, 5147, 999, 2007, 1996, 12609, 3125, 1997, 3770, 1003, 1997, 11500, 3173, 1037, 5065, 1521, 1055, 3014, 1010, 2054, 2003, 1996, 2783, 4353, 1997, 5445, 2306, 8329, 1029, 2054, 2592, 2079, 2017, 2342, 2000, 5136, 2000, 2393, 2017, 7323, 2115, 18667, 2078, 1998, 2000, 2468, 1037, 2112, 1997, 1996, 3770, 1003, 1029, 2468, 6727, 1998, 12774, 2007, 2023, 4773, 3981, 2099, 1012, 8292, 16576, 2487, 1011, 3438, 1024, 7414, 5445, 2011, 3292, 2495, 1006, 1015, 3967, 17850, 1007, 10787, 1999, 1996, 8329, 9518, 1010, 1998, 1999, 2070, 3572, 2130, 8498, 1037, 2783, 2597, 1010, 2089, 5478, 1037, 2709, 2000, 3834, 2495, 1012, 4192, 2000, 2082, 2064, 2022, 4830, 16671, 2075, 2005, 4639, 26262, 1012, 20120, 2147, 1010, 2155, 1010, 1998, 3151, 4280, 5683, 2066, 2019, 5263, 10859, 1012, 2122, 5876, 2191, 3292, 2495, 1037, 14874, 1010, 1037, 16166, 1010, 1998, 2411, 1996, 2069, 4522, 1012, 2023, 11336, 2097, 3073, 11500, 2007, 2592, 2055, 11381, 3834, 22496, 2083, 3292, 2495, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5179, 1008, 1044, 1011, 5179, 1008, 1044, 1009, 3590, 1008, 1044, 1008, 1008, 1016, 1999, 1996, 2433, 1062, 1008, 1044, 1008, 1008, 1016, 1009, 1056, 1009, 1057, 1008, 1044, 1998, 2507, 1062, 1012, 14010, 4671, 1011, 1057, 1011, 6273, 1009, 9800, 21926, 16576, 2683, 2575, 2475, 1008, 1057, 1008, 1008, 1016, 1009, 1016, 1008, 1057, 1008, 1008, 1018, 1011, 9800, 21926, 16576, 2683, 2575, 2475, 1008, 1057, 1008, 1008, 1016, 1999, 1996, 2433, 1062, 1008, 1057, 1008, 1008, 1018, 1009, 1047, 1008, 1057, 1008, 1008, 1016, 1009, 1058, 1009, 1038, 1008, 1057, 1008, 1008, 1017, 1009, 1052, 1008, 1057, 1998, 2507, 1058, 1012, 1011, 6273, 4671, 1006, 1011, 24061, 1008, 1061, 1011, 28977, 2692, 1008, 1061, 1009, 28601, 2509, 1008, 1061, 1007, 1008, 1006, 1014, 1008, 1061, 1009, 1016, 1008, 1061, 1009, 1014, 1008, 1061, 1007, 1011, 1017, 1008, 1061, 1008, 1008, 1016, 1011, 1016, 1008, 1061, 1008, 1008, 1016, 1009, 1020, 1008, 1061, 1008, 1008, 1016, 2004, 1037, 1008, 1061, 1008, 1008, 1016, 1009, 1045, 1009, 1056, 1008, 1061, 1998, 2507, 1037, 1012, 4583, 23777, 4671, 1006, 1011, 1016, 1008, 1055, 1011, 1055, 1009, 1018, 1008, 1055, 1007, 1008, 1006, 1017, 1009, 1016, 1011, 1017, 1007, 1008, 1006, 1011, 10550, 1011, 5986, 1009, 2656, 1007, 1008, 1006, 1055, 1009, 1014, 1008, 1055, 1011, 1019, 1008, 1055, 1007, 2004, 1044, 1008, 1055, 1009, 1056, 1008, 1055, 1008, 1008, 1016, 1009, 1037, 1998, 2507, 1056, 1012, 15471, 2575, 4671, 1011, 1016, 1008, 1045, 1008, 1008, 1017, 1009, 5018, 15136, 2575, 1008, 1045, 1011, 9683, 24096, 1008, 1045, 1009, 2676, 1011, 4293, 10790, 2683, 1008, 1045, 1009, 1016, 1008, 1045, 1008, 1008, 1016, 2004, 1039, 1009, 1059, 1008, 1045, 1009, 1038, 1008, 1045, 1008, 1008, 1016, 1009, 1054, 1008, 1045, 1008, 1008, 1017, 1998, 2507, 1038, 1012, 1016, 4671, 1006, 1011, 3938, 1008, 1044, 1009, 4090, 1008, 1044, 1011, 3429, 1008, 1044, 1007, 1008, 1006, 1022, 1011, 5354, 1009, 1023, 1007, 2004, 1052, 1009, 1049, 1008, 1044, 1998, 2507, 1052, 1012, 1014, 4671, 1006, 2861, 1011, 1020, 1008, 1046, 1008, 1008, 1017, 1011, 2861, 1007, 1008, 1006, 1011, 1016, 1008, 1046, 1011, 6275, 1008, 1046, 1011, 4805, 1008, 1046, 1007, 1008, 1006, 1011, 1015, 1009, 1016, 1011, 1018, 1007, 1999, 1996, 2433, 1058, 1008, 1046, 1008, 1008, 1018, 1009, 1051, 1008, 1046, 1008, 1008, 1016, 1009, 1062, 1009, 1042, 1008, 1046, 1009, 1061, 1008, 1046, 1008, 1008, 1017, 1998, 2507, 1058, 1012, 1011, 21035, 2620, 4671, 1006, 1011, 1016, 1008, 1045, 1011, 1045, 1009, 1019, 1008, 1045, 1007, 1008, 1006, 10715, 1011, 4466, 1009, 4185, 1009, 1006, 1014, 1009, 1017, 1011, 1015, 1007, 1008, 1006, 1017, 1011, 1016, 1011, 1017, 1007, 1007, 1008, 1006, 1006, 1014, 1011, 1045, 1009, 1014, 1007, 1008, 1006, 1015, 1009, 1020, 1011, 1016, 1007, 1009, 1020, 1008, 1045, 1011, 1016, 1008, 1045, 1011, 1045, 1007, 1999, 1996, 2433, 1039, 1008, 1045, 1009, 1048, 1009, 1053, 1008, 1045, 1008, 1008, 1016, 1998, 2507, 1053, 1012, 1011, 17295, 4373, 24388, 2063, 4261, 2549, 1011, 4261, 2549, 1011, 11118, 2692, 1008, 1060, 1009, 27234, 2549, 1008, 1060, 2000, 1996, 2433, 1053, 1009, 1038, 1008, 1060, 1998, 2507, 1038, 1012, 19883, 2549, 4671, 1006, 1015, 1011, 1019, 1009, 1016, 1007, 1008, 1006, 1011, 1017, 1008, 1059, 1008, 1008, 1017, 1009, 20741, 2581, 2581, 2683, 1011, 20741, 2581, 2620, 2487, 1009, 23609, 1008, 1059, 1008, 1008, 1017, 1007, 2004, 1046, 1008, 1059, 1009, 1039, 1009, 1062, 1008, 1059, 1008, 1008, 1016, 1009, 1058, 1008, 1059, 1008, 1008, 1017, 1998, 2507, 1058, 1012, 1011, 8732, 2549, 4671, 1006, 1011, 3943, 1008, 1040, 1009, 1019, 1008, 1040, 1008, 1008, 1016, 1009, 3943, 1008, 1040, 1007, 1008, 1006, 1006, 1014, 1009, 1014, 1009, 1015, 1007, 1008, 1006, 1011, 1016, 1008, 1040, 1011, 1015, 1009, 1015, 1007, 1009, 1006, 1011, 1015, 1011, 1016, 1011, 1019, 1007, 1008, 1006, 1011, 1017, 1009, 1017, 1009, 2340, 1008, 1040, 1007, 1007, 2004, 1060, 1008, 1040, 1008, 1008, 1017, 1009, 1038, 1008, 1040, 1009, 1057, 1008, 1040, 1008, 1008, 1016, 1009, 1046, 1998, 2507, 1060, 1012, 1011, 10332, 4373, 24388, 2063, 1006, 1016, 1011, 4008, 22610, 1008, 1047, 1008, 1008, 1016, 1011, 6391, 1008, 1047, 1011, 19681, 1008, 1047, 1009, 4008, 22932, 1008, 1047, 1008, 1008, 1016, 1007, 1008, 1006, 2385, 1011, 2385, 1011, 1020, 1008, 1047, 1007, 1008, 1006, 1011, 1017, 1009, 1017, 1009, 1016, 1008, 1047, 1007, 2000, 1045, 1008, 1047, 1008, 1008, 1016, 1009, 1040, 1008, 1047, 1008, 1008, 1017, 1009, 1037, 1008, 1047, 1009, 1056, 1008, 1047, 1008, 1008, 1018, 1009, 1050, 1998, 2507, 1056, 1012, 4029, 4671, 1006, 10550, 16068, 1008, 1043, 1008, 1008, 1016, 1011, 4583, 2581, 2575, 1008, 1043, 1008, 1008, 1016, 1011, 16471, 2620, 2475, 1008, 1043, 1008, 1008, 1016, 1011, 17365, 2581, 2683, 1008, 1043, 1008, 1008, 1016, 1007, 1008, 1006, 1011, 1015, 1009, 1015, 1011, 1017, 1007, 1999, 1996, 2433, 1039, 1009, 1044, 1008, 1043, 1009, 1059, 1008, 1043, 1008, 1008, 1016, 1998, 2507, 1044, 1012, 1014, 4671, 1006, 1021, 1008, 1059, 1008, 1008, 1016, 1011, 1019, 1008, 1059, 1009, 1019, 1008, 1059, 1007, 1008, 1006, 1011, 4008, 22022, 1008, 1059, 1009, 1015, 1009, 12904, 19961, 1008, 1059, 1011, 4700, 23833, 1008, 1059, 1007, 2004, 1061, 1008, 1059, 1008, 1008, 1017, 1009, 1037, 1009, 1044, 1008, 1059, 1008, 1008, 1016, 1009, 1054, 1008, 1059, 1998, 2507, 1037, 1012, 1014, 4671, 1017, 1009, 20741, 1008, 1038, 1011, 3515, 2487, 1008, 1038, 1011, 1017, 1009, 29327, 1008, 1038, 1999, 1996, 2433, 1058, 1009, 1039, 1008, 1038, 1998, 2507, 1039, 1012, 1011, 7886, 4671, 1006, 1014, 1011, 1015, 1009, 1017, 1007, 1008, 1006, 1006, 2570, 1011, 4413, 1009, 1021, 1007, 1008, 1006, 6353, 1008, 1053, 1009, 3486, 1008, 1053, 1011, 15170, 1008, 1053, 1007, 1011, 1017, 1008, 1053, 1009, 1016, 1008, 1053, 1011, 1016, 1008, 1053, 1007, 2004, 1042, 1009, 1052, 1008, 1053, 1998, 2507, 1052, 1012, 6255, 2549, 4671, 1011, 13539, 1008, 1059, 1008, 1008, 1016, 1009, 4868, 2620, 1008, 1059, 1008, 1008, 1016, 1009, 1014, 1011, 1016, 1008, 1059, 1009, 17696, 1008, 1059, 1008, 1008, 1017, 1011, 13539, 1008, 1059, 1008, 1008, 1016, 1009, 1018, 2004, 1053, 1008, 1059, 1008, 1008, 1017, 1009, 1061, 1009, 1050, 1008, 1059, 1008, 1008, 1016, 1009, 1051, 1008, 1059, 1998, 2507, 1051, 1012, 1011, 1016, 4373, 24388, 2063, 1011, 6584, 2620, 1008, 1048, 1009, 5786, 2581, 1008, 1048, 1009, 23532, 2509, 1008, 1048, 1009, 25897, 1008, 1048, 1009, 19594, 2581, 1008, 1048, 2000, 1053, 1009, 1062, 1008, 1048, 1998, 2507, 1062, 1012, 3438, 2581, 2620, 4373, 24388, 2063, 1006, 1017, 1008, 1042, 1008, 1008, 1017, 1009, 1014, 1008, 1042, 1009, 1014, 1008, 1042, 1007, 1008, 1006, 1011, 1021, 1009, 2539, 1008, 1042, 1009, 1021, 1009, 1006, 2676, 1011, 2484, 1011, 2538, 1007, 1008, 1006, 1014, 1008, 1042, 1009, 1014, 1008, 1042, 1011, 1016, 1008, 1042, 1007, 1007, 2000, 1996, 2433, 1048, 1008, 1042, 1008, 1008, 1017, 1009, 1045, 1008, 1042, 1008, 1008, 1018, 1009, 1051, 1008, 1042, 1008, 1008, 1016, 1009, 1060, 1008, 1042, 1009, 1039, 1998, 2507, 1045, 1012, 13913, 4373, 24388, 2063, 1011, 17528, 2629, 1008, 1047, 1011, 17332, 2475, 1008, 1047, 1009, 17332, 2549, 1008, 1047, 1011, 5764, 2575, 1008, 1047, 1011, 25103, 2487, 1008, 1047, 2000, 1058, 1008, 1047, 1009, 1037, 1998, 2507, 1058, 1012, 1011, 6079, 14142, 4671, 1023, 1008, 1051, 1011, 17332, 1009, 24232, 1009, 6353, 1008, 1051, 1008, 1008, 1018, 1009, 1051, 1008, 1008, 1016, 1011, 2539, 1008, 1051, 1008, 1008, 1018, 1009, 1051, 1008, 1008, 1017, 1011, 16734, 2004, 1047, 1008, 1051, 1008, 1008, 1017, 1009, 1037, 1008, 1051, 1009, 1060, 1008, 1051, 1008, 1008, 1016, 1009, 1038, 1009, 1061, 1008, 1051, 1008, 1008, 1018, 1998, 2507, 1061, 1012, 2753, 4373, 24388, 2063, 1049, 1011, 1016, 1008, 1049, 1009, 1019, 1008, 1049, 1011, 12457, 19961, 1009, 4008, 2581, 1008, 1049, 1009, 12457, 19961, 1009, 1006, 1017, 1011, 1019, 1009, 1015, 1007, 1008, 1006, 1016, 1008, 1049, 1011, 1049, 1009, 1014, 1008, 1049, 1007, 2000, 1061, 1009, 1060, 1008, 1049, 1998, 2507, 1060, 1012, 10332, 4671, 1006, 1011, 6275, 1008, 1059, 1011, 1022, 1008, 1059, 1011, 2385, 1008, 1059, 1007, 1008, 1006, 1011, 2539, 1008, 1059, 1009, 3590, 1008, 1059, 1011, 1020, 1008, 1059, 1007, 2004, 1047, 1008, 1059, 1009, 1055, 1009, 1039, 1008, 1059, 1008, 1008, 1016, 1998, 2507, 1039, 1012, 1011, 6390, 2549, 4373, 24388, 2063, 1011, 1022, 1008, 1044, 1008, 1008, 1017, 1009, 1044, 1008, 1008, 1017, 1011, 2403, 1009, 1018, 1008, 1044, 1008, 1008, 1017, 1009, 1017, 1008, 1044, 1011, 3770, 2000, 1996, 2433, 1042, 1009, 1062, 1008, 1044, 1008, 1008, 1016, 1009, 1053, 1008, 1044, 1008, 1008, 1017, 1009, 1040, 1008, 1044, 1998, 2507, 1053, 1012, 1011, 1017, 4671, 3963, 24434, 1008, 1056, 1008, 1008, 1016, 1011, 5818, 26976, 2581, 1009, 5818, 26976, 2581, 2004, 1051, 1008, 1056, 1008, 1008, 1016, 1009, 1061, 1008, 1056, 1009, 1055, 1998, 2507, 1051, 1012, 3963, 24434, 4671, 1058, 1008, 1008, 1016, 1011, 1023, 1008, 1058, 1009, 1017, 1008, 1058, 1011, 2603, 1009, 1014, 1011, 25717, 1009, 2260, 1999, 1996, 2433, 1045, 1008, 1058, 1008, 1008, 1016, 1009, 1038, 1008, 1058, 1009, 1053, 1998, 2507, 1038, 1012, 1011, 1020, 4373, 24388, 2063, 1019, 1008, 1047, 1011, 4749, 2683, 1009, 1016, 1008, 1047, 1011, 1020, 1008, 1047, 1009, 4720, 2581, 1011, 1017, 1008, 1047, 1008, 1008, 1016, 1011, 1047, 1008, 1008, 1017, 2000, 1056, 1008, 1047, 1008, 1008, 1016, 1009, 1051, 1009, 1054, 1008, 1047, 1009, 1053, 1008, 1047, 1008, 1008, 1017, 1998, 2507, 1051, 1012, 2654, 4671, 1006, 1017, 1008, 1055, 1008, 1008, 1016, 1009, 1016, 1008, 1055, 1008, 1008, 1016, 1011, 1017, 1008, 1055, 1008, 1008, 1016, 1007, 1008, 1006, 1011, 1018, 1009, 1015, 1009, 1014, 1007, 1008, 1006, 1017, 1009, 1016, 1009, 1014, 1007, 1008, 1006, 8574, 2629, 1008, 1055, 1009, 6353, 18139, 1011, 6353, 18139, 1007, 2004, 1039, 1009, 1047, 1008, 1055, 1008, 1008, 1016, 1009, 1038, 1008, 1055, 1009, 1051, 1008, 1055, 1008, 1008, 1017, 1998, 2507, 1051, 1012, 1011, 29403, 12376, 4671, 1011, 2403, 1008, 1059, 1009, 2423, 1008, 1059, 1011, 4293, 2683, 1008, 1059, 1008, 1008, 1016, 1011, 13412, 2629, 1008, 1059, 1008, 1008, 1016, 1011, 2340, 1008, 1059, 2004, 1062, 1008, 1059, 1008, 1008, 1016, 1009, 1046, 1008, 1059, 1009, 1057, 1998, 2507, 1046, 1012, 1014, 4671, 1011, 3770, 2549, 1009, 1020, 1008, 1062, 1008, 1008, 1016, 1011, 6535, 2629, 1009, 16528, 2575, 1999, 1996, 2433, 1060, 1008, 1062, 1009, 1038, 1008, 1062, 1008, 1008, 1016, 1009, 1056, 1998, 2507, 1056, 1012, 1011, 6640, 4671, 1006, 1016, 1009, 1016, 1011, 2184, 1008, 1057, 1009, 2410, 1008, 1057, 1007, 1008, 1006, 1018, 1009, 1015, 1011, 1015, 1007, 1008, 1006, 1011, 10550, 1011, 1021, 1008, 1057, 1008, 1008, 1016, 1011, 12104, 1009, 20294, 1007, 2004, 1044, 1008, 1057, 1008, 1008, 1017, 1009, 1043, 1008, 1057, 1009, 1050, 1009, 1053, 1008, 1057, 1008, 1008, 1016, 1998, 2507, 1053, 1012, 1011, 11176, 4671, 1006, 1006, 1011, 1015, 1009, 1016, 1011, 1017, 1007, 1008, 1006, 1011, 1047, 1009, 1014, 1008, 1047, 1009, 1014, 1008, 1047, 1007, 1009, 2484, 1008, 1047, 1011, 10114, 2475, 1009, 10114, 2475, 1009, 1016, 1008, 1047, 1009, 1047, 1009, 2184, 1011, 1018, 1008, 1047, 1007, 1008, 1006, 1011, 1016, 1011, 1016, 1009, 1023, 1007, 2004, 1043, 1009, 1057, 1008, 1047, 1998, 2507, 1057, 1012, 8732, 4671, 1006, 1016, 1008, 1059, 1011, 1016, 1009, 1016, 1007, 1008, 1006, 1011, 2656, 1008, 1059, 1009, 6391, 1011, 1023, 1011, 2676, 1007, 2004, 1049, 1008, 1059, 1009, 1042, 1008, 1059, 1008, 1008, 1016, 1009, 1040, 1998, 2507, 1042, 1012, 1011, 4720, 4671, 1006, 1011, 2184, 1008, 1053, 1008, 1008, 1016, 1009, 2184, 1008, 1053, 1008, 1008, 1016, 1009, 1017, 1008, 1053, 1008, 1008, 1017, 1007, 1008, 1006, 1011, 16528, 1011, 2603, 1011, 2382, 1007, 2004, 1054, 1008, 1053, 1009, 1052, 1008, 1053, 1008, 1008, 1017, 1009, 1044, 1009, 1050, 1008, 1053, 1008, 1008, 1016, 1998, 2507, 1052, 1012, 1011, 6079, 2475, 4373, 24388, 2063, 1006, 3515, 1008, 1053, 1008, 1008, 1017, 1009, 1053, 1011, 6163, 1008, 1053, 1008, 1008, 1017, 1011, 1022, 1008, 1053, 1007, 1008, 1006, 1011, 5139, 2620, 1008, 1053, 1009, 6391, 2683, 1008, 1053, 1009, 15170, 2581, 1008, 1053, 1009, 6640, 1008, 1053, 1009, 12606, 2487, 1008, 1053, 1007, 2000, 1996, 2433, 1060, 1008, 1053, 1008, 1008, 1017, 1009, 1037, 1008, 1053, 1008, 1008, 1016, 1009, 1040, 1008, 1053, 1009, 1051, 1009, 1056, 1008, 1053, 1008, 1008, 1018, 1998, 2507, 1037, 1012, 1011, 16327, 2683, 2549, 4373, 24388, 2063 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 7619, 1035, 12324, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 2407, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 6140, 1035, 3853, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 27260, 1035, 18204, 2015, 12324, 16371, 8737, 2100, 2004, 27937, 1001, 2828, 1024, 8568, 12324, 2006, 26807, 2013, 1012, 1012, 2918, 12324, 2918, 2013, 1012, 12324, 5987, 2465, 2512, 17848, 6342, 9397, 8303, 3258, 1006, 2918, 1007, 1024, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1023, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1014, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1019, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1035, 1998, 1035, 7644, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1023, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1018, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1035, 1998, 1035, 7644, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 9357, 1035, 12093, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1023, 1010, 1015, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1015, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1014, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1014, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1019, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 9357, 1035, 12093, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 5787, 1035, 6434, 1035, 2946, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1023, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1016, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1014, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 5787, 1035, 6434, 1035, 2946, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 2309, 1035, 3482, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 18592, 17501, 1997, 1037, 9138, 7504, 2007, 1037, 2128, 20051, 21997, 2594, 10496, 7504, 2038, 2042, 2109, 2000, 9699, 6387, 1010, 3811, 11508, 3550, 1998, 3053, 18847, 24454, 18150, 2594, 1060, 1011, 4097, 2030, 13091, 1011, 4097, 13110, 2012, 2116, 4128, 1012, 1996, 3754, 2000, 16014, 1996, 13589, 1010, 17435, 1998, 15850, 6459, 1997, 1037, 18592, 13091, 1011, 4097, 7504, 2003, 10232, 2005, 1996, 20600, 1997, 1996, 3169, 1997, 1037, 18592, 2422, 3120, 2004, 2092, 2004, 2005, 1996, 5097, 16911, 1996, 18592, 7504, 1012, 1999, 2023, 3259, 1010, 2057, 2556, 2048, 8107, 1010, 2028, 2241, 2588, 17826, 16268, 1998, 1996, 2060, 2241, 2588, 10125, 9758, 24710, 1010, 2000, 2817, 1996, 18592, 17501, 2832, 2005, 2536, 10496, 1998, 9138, 7504, 11709, 2004, 2092, 2004, 2367, 13091, 1011, 7504, 8902, 17960, 3370, 3785, 1012, 2122, 8107, 2031, 2042, 5147, 4162, 2000, 2839, 4697, 18592, 13091, 1011, 4097, 13110, 1010, 2044, 2108, 6847, 10665, 2098, 2114, 6388, 3463, 2012, 1996, 2152, 8015, 13091, 1011, 4097, 3120, 1006, 7632, 1002, 1032, 13091, 1002, 1055, 1007, 4322, 2012, 3804, 2118, 1012, 1005, 3166, 1024, 1011, 1005, 1039, 1012, 3103, 1031, 1034, 1015, 1033, 1005, 1011, 1005, 1061, 1012, 1047, 1012, 8814, 1005, 24751, 1024, 1011, 1005, 18592, 1032, 1035, 17501, 1012, 12170, 2497, 1005, 2516, 1024, 9373, 1998, 12504, 2913, 1997, 6459, 1997, 1037, 18592, 2422, 3120, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 18592, 17501, 1997, 1037, 9138, 7504, 2007, 1037, 2128, 20051, 21997, 2594, 10496, 7504, 2038, 2042, 5147, 2109, 2000, 9699, 6387, 1010, 3811, 11508, 3550, 1998, 3053, 18847, 24454, 18150, 2594, 1060, 1011, 4097, 2030, 13091, 1011, 4097, 13110, 2007, 1037, 24799, 3468, 2943, 2012, 2116, 4128, 1031, 1030, 1044, 1012, 1054, 1012, 2092, 2121, 1025, 1030, 17823, 6761, 1024, 2541, 2595, 2361, 1025, 1030, 2494, 13102, 2666, 1012, 4868, 2683, 2581, 1012, 1012, 22343, 2243, 1033, 1012, 2122, 4310, 18592, 26383, 13110, 2031, 2042, 2109, 1999, 1037, 2898, 2846, 1997, 3937, 1998, 4646, 2470, 4249, 2013, 4517, 5584, 2000, 28625, 15638, 1010, 2013, 2966, 2470, 2000, 10759, 3036, 1998, 3919, 5097, 1031, 1030, 1044, 1012, 1054, 1012, 2092, 2121, 1033, 1012, 1996, 3754, 2000, 16014, 1996, 17435, 1010, 13589, 1998, 15850, 6459, 1997, 1037, 18592, 13091, 1011, 4097, 7504, 2003, 10232, 2005, 1996, 20600, 1997, 1996, 13091, 1011, 4097, 7504, 2537, 2004, 2092, 2004, 2005, 2470, 5097, 16911, 1996, 7504, 1012, 2096, 1996, 3399, 1997, 10811, 1011, 10811, 1006, 2030, 10496, 1011, 26383, 1007, 18592, 17501, 1010, 2029, 2003, 5662, 2000, 1996, 17501, 2090, 1037, 18847, 24454, 18150, 2594, 10496, 7504, 1998, 1037, 18847, 24454, 18150, 2594, 9138, 7504, 2007, 5717, 18323, 10826, 1010, 2003, 2092, 8832, 1999, 3906, 1031, 1030, 1053, 2098, 1035, 28570, 1025, 1030, 12935, 2102, 1035, 28570, 1025, 1030, 4027, 1033, 1010, 2045, 3464, 1037, 2342, 2000, 3929, 3305, 1996, 6459, 1997, 1996, 13091, 1011, 4097, 7504, 2550, 2011, 18592, 17501, 1997, 1037, 9138, 7504, 1998, 2019, 10496, 7504, 2007, 3563, 13589, 1998, 2943, 20611, 1010, 1045, 1012, 1041, 1012, 1010, 1996, 7504, 1011, 7504, 17501, 1012, 2817, 1997, 7504, 1011, 7504, 18592, 17501, 2038, 2042, 3728, 2988, 1999, 1031, 1030, 7530, 17545, 1024, 2384, 13213, 1025, 1030, 2829, 1024, 2432, 13213, 1033, 1012, 2174, 1010, 1996, 13792, 2109, 1999, 2122, 2573, 2024, 2241, 2588, 1996, 11161, 17501, 2892, 2930, 1010, 1045, 1012, 1041, 1012, 1010, 2019, 21274, 17501, 1997, 17225, 8249, 2011, 1037, 5338, 10811, 2302, 1996, 27429, 3466, 1012, 2005, 17501, 1997, 1037, 2152, 2943, 10496, 7504, 1998, 1037, 9138, 7504, 1010, 1996, 27429, 1997, 1996, 10496, 2442, 2022, 2579, 2046, 4070, 1012, 1996, 18592, 17501, 2892, 2930, 2038, 2042, 2109, 2000, 2817, 6459, 1997, 18592, 13091, 1011, 4097, 13110, 2011, 3804, 6529, 1999, 1002, 2901, 1002, 1521, 1055, 1031, 1030, 8748, 1025, 1030, 2380, 1035, 9459, 1033, 1012, 2174, 1010, 1996, 3896, 1997, 14932, 7504, 11709, 1010, 1998, 1996, 3896, 1997, 13091, 1011, 7504, 8902, 17960, 3370, 2020, 2025, 3929, 2579, 2046, 4070, 1012, 1999, 2023, 3259, 1010, 2057, 2556, 2048, 2367, 4725, 1010, 1037, 4100, 1011, 17826, 17208, 1998, 1037, 10125, 9758, 12504, 1010, 2000, 2817, 1996, 18592, 17501, 2832, 1997, 1037, 11508, 3550, 1006, 2030, 4895, 18155, 8486, 5422, 1007, 9138, 7504, 2007, 2019, 4895, 18155, 8486, 5422, 10496, 7504, 1999, 1996, 7399, 18592, 17501, 6939, 1012, 2478, 2122, 2048, 4725, 1010, 2057, 2024, 2583, 2000, 2839, 4697, 1037, 18592, 13091, 1011, 4097, 7504, 2007, 2536, 9138, 1998, 10496, 7504, 11709, 1010, 15275, 12365, 12113, 1010, 1998, 2367, 13091, 1011, 7504, 8902, 17960, 3370, 3785, 1012, 2023, 3259, 2003, 4114, 2004, 4076, 1012, 1999, 2930, 2462, 1010, 2057, 2034, 3319, 1996, 17208, 1997, 1996, 18592, 7932, 26383, 2943, 2005, 2019, 15275, 12365, 6466, 1010, 1998, 2059, 8970, 1996, 17501, 2892, 2930, 1999, 1037, 28779, 5753, 23915, 2433, 1012, 2241, 2588, 2023, 2892, 2930, 1010, 1996, 13589, 1998, 17435, 20611, 2004, 2092, 2004, 1996, 11508, 3989, 1997, 1037, 18592, 13091, 1011, 4097, 7504, 2024, 10847, 1999, 10811, 1011, 10811, 17501, 3572, 1012, 1999, 2930, 3523, 1010, 2057, 6848, 1996, 7504, 1011, 7504, 18592, 17501, 2011, 6195, 3896, 1997, 1996, 14932, 7504, 11709, 2004, 2092, 2004, 1996, 3466, 1997, 1996, 13091, 1011, 4097, 7504, 8902, 17960, 3370, 1012, 2048, 4725, 1010, 1037, 4100, 1011, 17826, 17208, 1998, 1037, 10125, 9758, 12504, 1010, 2024, 2059, 3591, 1012, 2241, 2588, 1996, 13792, 1997, 2122, 4725, 1010, 2048, 9798, 9537, 1010, 1037, 15973, 8346, 3642, 1998, 1037, 10125, 9758, 12504, 3642, 1010, 2031, 2042, 2764, 2012, 3804, 2118, 1012, 1996, 6847, 10665, 2075, 3463, 1998, 5097, 1997, 2122, 2048, 9537, 2024, 3591, 1999, 2930, 4921, 1012, 1996, 12654, 2003, 2445, 1999, 2930, 1058, 1012, 10811, 1011, 10811, 17501, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 7932, 26383, 2943, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1037, 3319, 1997, 1996, 17208, 1997, 7932, 26383, 19320, 1999, 1996, 10811, 1011, 10811, 17501, 2553, 2003, 1999, 2344, 1012, 3275, 1032, 1031, 10496, 1032, 1035, 6845, 1032, 1035, 4853, 1032, 1033, 3065, 1996, 10988, 1997, 18592, 17501, 1997, 2019, 10496, 1998, 1037, 26383, 1999, 1037, 5911, 4853, 13530, 2291, 1002, 1006, 1060, 1035, 1041, 1010, 1061, 1035, 1041, 1010, 1062, 1035, 1041, 1007, 1002, 1999, 2029, 1996, 5043, 10496, 2007, 1037, 11071, 1002, 1032, 2310, 2278, 1063, 1052, 1065, 1002, 2003, 3048, 2247, 1996, 1002, 1062, 1035, 1041, 1002, 1011, 3257, 1012, 1996, 5043, 26383, 2007, 1037, 11071, 1002, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1002, 1006, 1002, 1032, 1044, 8237, 1002, 2003, 1996, 26486, 5377, 1007, 2003, 17678, 16098, 3064, 2247, 1996, 3257, 2007, 12113, 1002, 1006, 1032, 23963, 1035, 1045, 1010, 1032, 13569, 1035, 1045, 1007, 1002, 1012, 1996, 12365, 5158, 2012, 1996, 4761, 1997, 1996, 13530, 2291, 1012, 2044, 1996, 12365, 1010, 1996, 26383, 2007, 1037, 11071, 1002, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1034, 1032, 3539, 1002, 2003, 7932, 2046, 1996, 3257, 1997, 1002, 1006, 1032, 23963, 1035, 1042, 1010, 1032, 13569, 1035, 1042, 1007, 1002, 1012, 999, 1031, 1032, 1031, 10496, 1032, 1035, 6845, 1032, 1035, 4853, 1032, 1033, 10988, 1997, 18592, 17501, 1997, 2019, 10496, 1998, 1037, 26383, 1999, 1037, 6845, 4853, 13530, 2291, 1002, 1006, 1060, 1035, 1041, 1010, 1061, 1035, 1041, 1010, 1062, 1035, 1041, 1007, 1002, 1999, 2029, 1996, 10496, 2003, 5043, 2247, 1996, 1002, 1062, 1035, 1041, 1002, 1011, 3257, 1012, 1996, 5043, 26383, 2003, 17678, 16098, 3436, 2247, 1996, 3257, 2445, 2011, 1996, 11508, 6466, 1002, 1032, 23963, 1035, 1045, 1002, 1998, 17207, 5714, 14317, 2389, 6466, 1002, 1032, 13569, 1035, 1045, 1002, 1012, 1996, 12365, 5158, 2012, 1996, 4761, 1997, 1996, 13530, 2291, 1012, 2044, 1996, 17501, 1010, 1996, 7932, 26383, 17678, 16098, 4570, 1999, 1996, 3257, 2445, 2011, 1996, 11508, 6466, 1002, 1032, 23963, 1035, 1042, 1002, 1998, 17207, 5714, 14317, 2389, 6466, 1002, 1032, 13569, 1035, 1042, 1002, 1012, 1002, 1032, 23963, 1035, 1052, 1002, 2003, 1996, 6466, 2090, 1996, 2617, 2050, 1997, 5043, 1998, 7932, 26383, 2015, 1010, 1002, 1032, 2310, 2278, 1063, 1047, 1065, 1002, 1998, 1002, 1032, 2310, 2278, 1063, 1047, 1034, 1032, 3539, 1065, 1002, 1012, 1996, 10496, 2044, 17501, 2003, 2025, 3491, 1999, 1996, 3275, 1012, 1033, 1006, 10496, 1035, 26383, 1035, 17501, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 1032, 5930, 9148, 11927, 2232, 1000, 1065, 2429, 2000, 1996, 5680, 1997, 1996, 1018, 1011, 2617, 2050, 2077, 1998, 2044, 17501, 1010, 2057, 2064, 2031, 1002, 1002, 1052, 1009, 1047, 1027, 1052, 1034, 1032, 3539, 1009, 1047, 1034, 1032, 3539, 1010, 1032, 3830, 1063, 5680, 1035, 2375, 1065, 1002, 1002, 2073, 1002, 1052, 1027, 1006, 1041, 1035, 1041, 1013, 1039, 1010, 1032, 2310, 2278, 1063, 1052, 1065, 1007, 1002, 1998, 1002, 1047, 1027, 1006, 1041, 1035, 1052, 1013, 1039, 1010, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1007, 1002, 2024, 1996, 1018, 1011, 2617, 2050, 1997, 1996, 10496, 1998, 26383, 2077, 1996, 17501, 1010, 4414, 1025, 1002, 1052, 1034, 1032, 3539, 1027, 1006, 1041, 1034, 1032, 3539, 1035, 1041, 1013, 1039, 1010, 1032, 2310, 2278, 1063, 1052, 1065, 1034, 1032, 3539, 1007, 1002, 1998, 1002, 1047, 1034, 1032, 3539, 1027, 1006, 1041, 1035, 1043, 1013, 1039, 1010, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1034, 1032, 3539, 1007, 1002, 2024, 2037, 1018, 1011, 2617, 2050, 2044, 1996, 17501, 1025, 1002, 1041, 1035, 1041, 1002, 1998, 1002, 1041, 1035, 1052, 1002, 2024, 1996, 19320, 1997, 1996, 10496, 1998, 26383, 2077, 1996, 17501, 1025, 1002, 1041, 1035, 1041, 1034, 1032, 3539, 1002, 1998, 1002, 1041, 1035, 1043, 1002, 2024, 2037, 19320, 2044, 1996, 17501, 1025, 1998, 1002, 1039, 1002, 2003, 1996, 3177, 1997, 2422, 1012, 5490, 6692, 4892, 2119, 3903, 1997, 1041, 4160, 1012, 1006, 1032, 1031, 5680, 1032, 1035, 2375, 1032, 1033, 1007, 1998, 2206, 2070, 3722, 16924, 2015, 1010, 2057, 2064, 6855, 1996, 7932, 26383, 2943, 2004, 4076, 1010, 1002, 1002, 1041, 1035, 1043, 1027, 1032, 25312, 2278, 1063, 1006, 1015, 1011, 1032, 8247, 1032, 2522, 2015, 1032, 23963, 1035, 1045, 1007, 1041, 1035, 1052, 1065, 1063, 1006, 1015, 1011, 1032, 8247, 1032, 2522, 2015, 1032, 23963, 1035, 1042, 1007, 1009, 1006, 1015, 1011, 1032, 2522, 2015, 1032, 23963, 1035, 1052, 1007, 1041, 1035, 1052, 1013, 1041, 1035, 1041, 1065, 1010, 1032, 3830, 1063, 7932, 8458, 25862, 24454, 6292, 1065, 1002, 1002, 2073, 1002, 1032, 8247, 1027, 1058, 1013, 1039, 1002, 2003, 1996, 3177, 1997, 1996, 5043, 10496, 5816, 2000, 1996, 3177, 1997, 2422, 1010, 1998, 1002, 1032, 23963, 1035, 1052, 1002, 2003, 1996, 6466, 2090, 1996, 2617, 2050, 1997, 1996, 5043, 1998, 7932, 26383, 2015, 1006, 20965, 1012, 1032, 1031, 10496, 1032, 1035, 6845, 1032, 1035, 4853, 1032, 1033, 1007, 1012, 2005, 1037, 2132, 1011, 2006, 12365, 1010, 1002, 1032, 23963, 1035, 1045, 1027, 1032, 14255, 1002, 1998, 1002, 1032, 23963, 1035, 1052, 1027, 1032, 14255, 1011, 1032, 23963, 1035, 1042, 1002, 1010, 1041, 4160, 1012, 1006, 1032, 1031, 7932, 8458, 25862, 24454, 6292, 1032, 1033, 1007, 2064, 2022, 11038, 2000, 1002, 1002, 1041, 1035, 1043, 1027, 1032, 25312, 2278, 1063, 1006, 1015, 1009, 1032, 8247, 1007, 1041, 1035, 1052, 1065, 1063, 1006, 1015, 1011, 1032, 8247, 1032, 2522, 2015, 1032, 23963, 1035, 1042, 1007, 1009, 1006, 1015, 1009, 1032, 2522, 2015, 1032, 23963, 1035, 1042, 1007, 1041, 1035, 1052, 1013, 1041, 1035, 1041, 1065, 1012, 1032, 3830, 1063, 2943, 1035, 2132, 1035, 2006, 1065, 1002, 1002, 4415, 1010, 2445, 1996, 19320, 1997, 1996, 5043, 10496, 1998, 26383, 1010, 1002, 1041, 1035, 1041, 1002, 1998, 1002, 1041, 1035, 1052, 1002, 1010, 1996, 7932, 26383, 2943, 1002, 1041, 1035, 1043, 1002, 2069, 9041, 2006, 1996, 17501, 6466, 1002, 1032, 23963, 1035, 1042, 1002, 1010, 2981, 1997, 1996, 17207, 5714, 14317, 6466, 1002, 1032, 13569, 1035, 1042, 1002, 1012, 1996, 7189, 2090, 1996, 7932, 26383, 2943, 1002, 1041, 1035, 1043, 1002, 1998, 17501, 6466, 1002, 1032, 23963, 1035, 1042, 1002, 2003, 7645, 1999, 20965, 1012, 1032, 1031, 21934, 1032, 1035, 4372, 1032, 1035, 11867, 1032, 1035, 4487, 3367, 1032, 1033, 1012, 1999, 2023, 3275, 1010, 1996, 7932, 26383, 19320, 1002, 1041, 1035, 1043, 1002, 2024, 5393, 2011, 1996, 12450, 3378, 2007, 1996, 9530, 22461, 7925, 1999 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5958, 1010, 2281, 2603, 1010, 2289, 1037, 2261, 3134, 3283, 1010, 2097, 29328, 4402, 1006, 1037, 2767, 1998, 1037, 9220, 2012, 2026, 2277, 1007, 1998, 1045, 2253, 7083, 3788, 1999, 1037, 2112, 1997, 8904, 3702, 2008, 2018, 2042, 26397, 2007, 5850, 1998, 3522, 4808, 1006, 2619, 2018, 2042, 20114, 1998, 2059, 2915, 1998, 2730, 2012, 1037, 15106, 3573, 1999, 2008, 2181, 1007, 1012, 2256, 3246, 2001, 2000, 11839, 2058, 1996, 5101, 1998, 2036, 2000, 2831, 2007, 12455, 2045, 1998, 3198, 2068, 2129, 2057, 2071, 11839, 2005, 2068, 1998, 2156, 2073, 1996, 2935, 2453, 2202, 2009, 2013, 2045, 1012, 2776, 2057, 3047, 2588, 1523, 6174, 1524, 1010, 2040, 2001, 5689, 2041, 2007, 1037, 3232, 1997, 2060, 4364, 1998, 2596, 2000, 2022, 16228, 2070, 4066, 1997, 3066, 5994, 2593, 9573, 23115, 3729, 1521, 1055, 1010, 5850, 1010, 2030, 2119, 1012, 1045, 4081, 2057, 2175, 2831, 2000, 2032, 1010, 1998, 2097, 3530, 1010, 1998, 2061, 1045, 8134, 2743, 2039, 2000, 1000, 6174, 1000, 1006, 1045, 2134, 1521, 1056, 2113, 2032, 2012, 2008, 2391, 1007, 2096, 2097, 2939, 2172, 2062, 4658, 2135, 2369, 2033, 1012, 2057, 4930, 2039, 1037, 4512, 1010, 2076, 2029, 2057, 4342, 2008, 2010, 3566, 2001, 2019, 24036, 1010, 2008, 2002, 2876, 1521, 1056, 5136, 2370, 1037, 3017, 2138, 1997, 2129, 2002, 2001, 2542, 1010, 2008, 2002, 2018, 2042, 2915, 2012, 2560, 2320, 1010, 1998, 2008, 2002, 6618, 2008, 2169, 1997, 2149, 2003, 4011, 2000, 2022, 1996, 2190, 2057, 2064, 2022, 2012, 2054, 2057, 2024, 2725, 1516, 2065, 2017, 2024, 1037, 3017, 1010, 2022, 1996, 2190, 2028, 2017, 2064, 2022, 1025, 2065, 2017, 2024, 1037, 11033, 1010, 2022, 1996, 2190, 2028, 2008, 2017, 2064, 2022, 1006, 5667, 1007, 1012, 2057, 2356, 2032, 2129, 2057, 2453, 11839, 2005, 2032, 1010, 1998, 2002, 2056, 2074, 2000, 3198, 2643, 2000, 2292, 2032, 2444, 2178, 2154, 1006, 2029, 9826, 2790, 3492, 12391, 1007, 1010, 1998, 2061, 2057, 2106, 2008, 1998, 2253, 2006, 2256, 2126, 1012, 1045, 2347, 1521, 1056, 2469, 1045, 2052, 2156, 2032, 2153, 1010, 2926, 2144, 2026, 7083, 7365, 1999, 2061, 10258, 2080, 1006, 2148, 3516, 2395, 1007, 2020, 2025, 1037, 3180, 2112, 1997, 2026, 2733, 1012, 2055, 1037, 2733, 2030, 2048, 2101, 1045, 2001, 3788, 2026, 3899, 3533, 2105, 1996, 3796, 1998, 2001, 4458, 2011, 1037, 2367, 15106, 3573, 2008, 2003, 12536, 2005, 22824, 12455, 5689, 2105, 2648, 1012, 2004, 1045, 2979, 2011, 1037, 2482, 9083, 2006, 1996, 2395, 1010, 1045, 2298, 1999, 1998, 2040, 2079, 1045, 2156, 2021, 1000, 6174, 1000, 999, 2061, 1045, 3030, 1998, 2057, 2106, 1996, 2878, 1523, 7345, 9044, 1524, 2518, 1006, 2065, 2017, 1521, 2128, 2025, 2013, 1996, 1520, 7415, 2066, 2033, 1010, 2017, 2453, 2025, 2022, 2004, 5099, 2004, 2033, 2006, 2008, 1063, 20954, 1065, 1007, 1012, 1996, 2034, 2051, 2057, 2777, 1010, 1000, 6174, 1000, 2018, 11445, 2008, 1045, 2134, 1521, 1056, 2444, 1999, 8904, 3702, 1010, 1998, 2061, 2006, 2023, 3116, 1010, 1045, 2356, 2032, 2054, 2002, 2001, 2725, 1999, 2026, 2112, 1997, 1996, 1520, 7415, 1006, 4445, 1997, 2149, 2165, 2033, 5667, 2004, 1045, 2056, 2008, 1007, 1012, 2059, 1045, 2409, 2032, 2008, 2009, 2246, 2066, 2643, 2106, 3437, 12583, 1012, 2002, 2246, 5457, 2005, 1037, 2617, 1010, 1998, 1045, 6966, 2032, 2008, 2057, 2018, 14283, 2008, 2643, 2052, 2292, 2032, 2156, 2178, 2154, 1010, 1998, 2092, 1010, 2182, 2002, 2001, 1012, 2002, 3281, 1998, 2056, 1010, 1523, 3398, 1010, 2008, 1521, 1055, 2157, 1010, 1524, 1998, 1045, 2071, 2425, 2008, 2242, 15999, 2503, 1010, 1996, 2112, 1997, 2032, 2008, 2001, 2580, 2000, 2113, 2643, 1998, 7532, 2000, 2032, 1012, 2008, 2001, 1996, 6698, 1997, 2256, 4512, 1010, 1998, 2004, 1045, 2939, 2185, 1010, 1045, 2481, 1521, 1056, 2393, 2021, 2228, 2008, 1045, 2018, 2074, 2579, 2112, 1999, 1037, 2983, 2617, 1012, 2097, 1998, 1045, 3116, 1000, 6174, 1000, 2018, 8590, 2032, 1999, 2026, 2159, 1012, 1045, 5373, 2052, 2031, 6439, 2032, 1010, 2025, 2130, 4384, 2032, 2006, 2026, 3328, 2007, 3533, 1010, 2030, 2074, 7219, 2032, 2004, 1037, 7196, 11033, 1012, 2021, 2138, 1045, 2018, 1037, 3276, 2007, 1000, 6174, 1000, 1010, 1045, 2387, 2032, 2008, 2154, 1010, 1998, 2061, 2057, 5720, 2153, 1012, 1045, 2228, 2009, 2036, 8590, 2033, 1999, 2010, 2159, 1012, 2002, 5373, 2052, 2031, 6439, 2033, 1010, 2320, 2002, 2387, 1045, 2347, 1521, 1056, 4699, 1999, 9343, 1010, 2025, 2130, 15103, 2033, 2006, 2026, 3328, 1010, 28913, 2033, 2004, 1037, 4138, 2317, 3124, 1012, 2021, 2138, 2002, 2354, 2033, 2006, 2070, 2504, 1010, 2002, 2387, 2033, 1010, 1998, 2061, 2057, 5720, 2153, 1012, 5095, 1010, 2281, 2459, 1010, 2289, 2061, 1045, 2031, 2218, 2125, 2004, 2146, 2004, 1045, 2071, 1998, 2031, 11070, 2026, 4234, 2189, 5962, 3892, 2007, 4080, 12001, 1005, 1055, 2201, 27541, 1996, 12559, 1997, 2643, 1012, 2061, 2000, 8439, 1010, 1045, 2245, 1045, 2453, 2862, 2026, 2327, 2274, 4234, 4042, 1006, 1001, 1015, 2108, 2087, 5440, 1010, 2021, 1001, 1016, 1005, 1055, 1037, 5440, 1010, 2205, 1010, 2074, 2025, 2004, 2172, 5440, 1007, 1010, 1998, 2059, 13260, 2026, 23269, 1997, 8884, 8141, 2000, 3745, 2115, 7201, 2030, 7615, 2006, 3067, 1012, 1045, 1005, 1049, 2467, 2559, 2005, 2047, 2189, 1010, 2061, 2265, 2033, 1996, 2126, 999, 1019, 1007, 4302, 9530, 13542, 1010, 3781, 2043, 2026, 2540, 4858, 4234, 1011, 2023, 2201, 3138, 2033, 2067, 2000, 2070, 2204, 19330, 1005, 2420, 2043, 1045, 2001, 2012, 3792, 1010, 1998, 1045, 2074, 3613, 2000, 5959, 2009, 2095, 2044, 2095, 1012, 1017, 1007, 3968, 5356, 1010, 2022, 5092, 5879, 1010, 5297, 11902, 6569, 999, 1011, 2122, 2093, 4364, 2024, 2428, 10904, 5389, 1998, 8453, 1010, 1998, 2027, 2428, 2079, 2031, 6569, 2006, 2023, 2201, 2004, 2027, 4685, 2116, 4438, 4234, 17777, 1012, 4606, 1010, 2037, 2434, 2774, 2024, 3565, 1010, 1998, 2009, 1005, 1055, 2074, 1037, 4658, 12586, 1997, 2093, 4310, 5755, 1012, 1015, 1007, 4080, 12001, 27541, 1996, 12559, 1997, 2643, 1011, 2023, 2003, 2019, 6429, 2434, 3729, 2029, 4136, 1996, 2466, 1997, 4234, 2927, 1999, 16388, 1998, 3048, 2083, 1996, 24131, 1012, 1996, 2774, 3233, 2894, 1010, 2021, 2024, 3214, 2000, 2022, 7791, 2000, 2004, 1037, 2878, 2303, 1997, 2147, 1012, 2035, 1997, 1996, 2774, 2024, 23728, 1010, 1998, 1999, 2995, 4080, 12001, 2433, 1010, 1996, 4581, 2024, 13769, 1012, 2028, 1997, 1996, 11637, 2003, 1000, 5487, 1005, 1055, 11693, 11149, 1000, 2029, 2003, 3432, 1996, 4962, 6779, 1997, 4441, 7042, 2000, 2019, 27999, 8694, 1012, 2065, 2017, 2031, 1996, 3382, 2000, 2156, 2023, 4164, 1999, 2711, 1010, 1045, 2052, 2202, 2009, 1012, 9857, 1010, 2281, 2410, 1010, 2289, 1996, 2060, 2154, 2004, 1045, 2001, 2383, 1037, 4251, 2051, 1010, 13234, 2356, 2033, 2000, 2079, 2242, 2007, 2014, 1012, 2109, 2000, 2108, 7153, 1010, 1045, 2056, 1010, 1000, 2025, 2157, 2085, 1010, 1045, 1005, 1049, 5938, 2051, 2007, 4441, 1012, 2043, 1045, 1005, 1049, 2736, 3331, 2007, 4441, 2059, 2057, 2064, 2377, 1012, 1000, 2014, 3433, 2001, 1010, 1000, 1045, 11839, 2823, 2205, 1010, 20565, 1012, 1000, 1045, 2056, 1010, 1000, 2428, 1010, 2043, 2079, 2017, 2079, 2008, 1029, 1000, 3241, 2016, 2001, 3331, 2055, 7083, 2051, 2077, 2793, 2030, 2012, 1996, 4596, 2795, 1012, 2021, 2016, 4660, 1010, 1000, 2092, 1010, 1045, 2074, 2485, 2026, 2159, 1998, 6812, 2026, 2132, 1998, 11839, 2000, 2643, 2894, 1999, 2026, 2282, 1012, 1000, 1045, 2056, 1010, 1000, 2054, 2079, 2017, 11839, 2055, 1029, 1000, 1000, 1045, 2074, 4133, 4251, 1998, 11839, 1010, 20565, 1012, 1000, 1000, 1045, 2113, 1010, 2021, 2054, 2079, 2017, 2831, 2000, 2643, 2055, 2043, 2017, 11839, 1029, 1000, 1000, 2498, 1010, 20565, 1010, 1045, 2074, 4133, 4251, 1998, 4952, 2000, 2643, 1012, 1000, 4465, 1010, 2281, 2340, 1010, 2289, 2017, 2113, 1010, 2009, 3849, 2066, 1996, 2069, 2051, 1045, 2412, 2963, 22728, 2603, 2003, 2012, 6715, 2015, 1012, 2021, 2003, 2008, 2035, 2009, 1521, 1055, 2204, 2005, 1010, 2000, 10825, 2149, 1997, 2643, 1999, 1996, 12930, 1997, 1996, 3028, 1997, 1996, 5192, 1997, 2331, 1029, 2009, 2038, 2468, 2107, 1037, 28587, 22728, 2000, 2033, 1010, 5567, 2011, 18672, 2063, 1012, 2021, 2004, 1045, 2031, 4961, 1999, 7785, 1010, 1045, 2572, 4531, 2307, 7216, 1998, 7785, 2013, 2023, 2460, 2214, 2666, 1011, 2021, 1011, 2204, 2666, 1012, 1996, 2935, 2004, 2256, 11133, 3957, 2149, 3246, 2008, 2009, 1521, 1055, 2025, 2035, 2039, 2000, 2149, 1012, 2045, 2003, 2619, 3618, 2084, 9731, 2559, 2041, 2005, 5426, 1010, 9220, 2075, 2149, 1012, 2045, 2003, 1037, 2282, 9961, 1999, 4209, 2008, 2007, 2643, 2004, 2256, 11133, 1010, 2057, 4618, 2025, 2215, 1012, 2130, 1999, 1996, 12930, 4390, 1010, 1997, 2477, 2025, 2559, 2035, 2157, 1010, 1997, 3361, 3980, 1010, 2643, 2758, 2008, 2002, 2003, 2045, 2005, 2149, 2007, 3860, 1998, 3739, 1998, 9347, 1012, 2643, 2025, 2069, 4122, 2149, 2000, 4521, 1998, 2000, 2693, 1010, 2021, 2036, 2000, 2717, 1010, 1998, 2004, 2256, 11133, 1010, 2002, 7459, 2149, 2438, 2000, 2191, 2149, 4682, 2091, 2138, 2002, 4282, 2256, 2342, 2005, 2717, 2062, 2084, 2057, 2079, 1012, 2002, 5260, 2149, 2000, 2665, 24813, 1998, 4251, 5380, 1010, 3722, 3350, 1997, 2010, 15003, 1998, 2293, 1012, 1998, 2054, 2038, 2768, 2041, 2000, 2033, 2058, 2505, 2842, 1999, 2023, 22728, 2038, 2042, 1010, 1523, 2002, 9239, 2015, 2026, 3969, 1012, 1524, 2256, 9293, 2024, 2256, 2568, 1010, 2097, 1010, 1998, 6699, 1010, 1998, 2023, 7893, 15537, 2149, 2008, 2643, 2987, 1521, 1056, 2074, 4792, 2005, 2149, 2000, 2031, 3558, 9347, 1998, 2717, 1010, 2021, 2002, 14977, 2055, 2256, 5110, 2166, 2004, 2092, 1012, 2002, 4122, 2000, 2417, 21564, 2256, 3971, 1997, 3241, 2055, 2032, 1010, 16487, 2256, 2568, 1012, 2002, 4122, 2000, 11005, 1996, 3971, 2057, 2514, 2055, 9731, 1998, 2256, 6214, 1010, 16487, 2256, 6699, 1012, 2002, 4122, 2000, 10938, 2256, 9804, 2000, 8339, 1037, 19836, 1010, 2293, 3276, 2007, 2032, 1010, 16487, 2256, 17234, 1012, 5150, 2035, 1997, 2023, 2039, 2003, 1996, 2935, 1521, 1055, 15003, 1998, 8673, 1010, 2206, 2149, 1010, 14328, 2149, 2006, 2875, 2256, 2204, 2188, 2007, 1996, 2935, 1012, 1999, 1996, 12930, 1997, 2256, 6752, 2229, 1010, 1999, 1996, 12930, 1997, 2256, 17693, 1010, 2045, 2003, 1037, 4251, 16375, 2008, 15003, 1998, 2293, 2097, 3582, 1012, 1998, 2057, 2024, 6966, 1997, 2256, 2925, 2188, 2007, 1996, 2935, 5091, 1012, 4209, 2008, 2256, 2925, 2003, 5851, 3957, 2149, 4071, 1998, 7785, 1999, 1996, 2556, 2000, 2644, 2358, 3089, 6455, 2061, 2524, 1012, 1996, 2935, 2003, 2026, 11133, 1012, 1045, 4618, 2025, 2215, 1012, 2002, 3084, 2033, 4682, 2091, 1012, 2002, 5260, 2033, 1012, 7543, 15003, 1998, 2293, 2097, 3582, 2033, 1012, 2023, 2003, 2025, 1037, 28587, 22728, 1012, 2009, 2003, 1037, 22728, 1997, 7023, 2008, 4473, 2149, 2000, 2202, 1037, 3357, 2067, 2013, 2256, 9241, 1998, 2256, 4073, 2012, 2969, 1011, 9347, 1998, 2969, 1011, 3860, 1010, 4352, 2149, 2000, 2191, 2282, 2005, 7785, 1012, 9317, 1010, 2281, 5718, 1010, 2289, 2191, 1037, 5166, 1024, 2028, 1997, 1996, 2190, 13345, 2114, 7785, 3238, 16156, 1998, 2028, 1997, 1996, 2190, 3971, 2000, 5676, 2008, 2057, 2064, 2507, 12382, 2135, 2000, 2643, 1521, 1055, 2147, 2003, 3432, 2000, 2031, 1037, 5166, 1012, 1999, 2755, 1010, 1045, 2123, 1005, 1056, 2113, 2129, 2111, 6133, 2037, 2769, 1998, 2031, 5029, 2000, 2507, 2302, 2383, 1037, 5166, 1012, 2383, 1037, 2933, 2005, 2073, 2115, 2769, 2003, 2183, 2077, 2017, 2130, 2131, 2009, 1998, 4209, 2073, 2017, 2024, 5938, 2115, 3318, 4473, 2017, 2000, 5323, 7785, 2013, 1996, 2131, 2175, 1012, 2065, 3228, 1013, 14841, 20744, 2003, 1037, 9470, 2005, 2149, 1010, 2059, 2738, 2084, 3403, 2000, 2156, 2065, 2045, 2003, 2505, 2187, 2012, 1996, 2203, 2000, 2507, 1010, 2057, 11276, 2000, 2191, 1523, 3228, 1524, 1037, 2240, 8875, 1999, 2256, 5166, 1006, 3383, 1996, 2240, 8875, 1007, 1998, 14171, 2256, 1000, 2215, 1011, 2000, 1000, 5938, 2105, 2009, 1012, 12082, 1998, 1045, 2031, 4340, 1037, 7017, 2008, 2057, 2215, 2000, 2507, 1010, 1998, 2061, 2057, 14171, 2256, 3228, 7017, 1011, 7968, 2000, 1996, 3815, 1997, 3318, 2008, 3310, 1999, 1012, 2057, 2224, 2048, 5906, 2000, 2393, 2149, 5166, 1012, 2028, 2003, 1037, 3722, 24970, 7123, 2006, 2029, 2057, 2862, 2296, 9530, 3401, 11444, 3468, 2181, 1997, 5938, 1012, 2045, 2024, 2240, 5167, 2005, 3167, 5938, 2769, 2005, 2033, 1998, 12082, 1010, 2769, 2275, 4998, 2169, 3204, 2875, 4234, 7534, 1010, 10885, 1010, 1998, 2482, 10315, 1010, 2769, 2005, 4253, 2005, 2256, 4268, 1998, 2062, 1012, 2057, 2079, 1037, 1000, 5717, 1011, 5703, 5166, 1000, 1010, 2029, 2965, 2008, 2057, 2031, 1037, 2173, 2000, 2404, 2296, 7922, 2008, 2003 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10061, 1024, 4447, 1024, 6412, 1024, 4281, 12654, 4766, 6412, 1997, 1996, 9254, 6851, 6412, 19184, 2742, 2291, 2742, 4725, 7353, 5097, 2011, 3817, 3312, 10882, 15000, 1010, 2624, 4560, 1010, 6187, 2149, 7353, 5097, 2011, 8224, 4297, 1012, 2379, 2613, 1011, 2051, 13425, 1997, 1037, 2445, 3295, 2089, 2022, 3024, 2000, 5310, 2588, 5227, 1012, 2087, 16071, 7021, 9183, 5269, 2024, 4340, 1010, 1998, 1037, 9475, 3014, 3746, 5425, 5080, 2003, 10959, 2012, 2028, 2030, 2062, 1997, 1996, 4340, 5269, 1012, 1996, 3746, 5425, 5080, 2089, 14678, 3073, 3746, 2592, 1010, 2029, 2003, 13995, 1010, 2005, 2742, 1010, 2000, 6366, 3167, 2592, 1998, 11307, 12403, 2213, 1012, 2107, 3746, 2592, 2089, 2059, 2022, 3024, 2000, 5198, 2588, 5227, 1012, 1996, 3746, 5425, 5080, 14678, 19566, 3674, 5328, 1997, 1996, 2445, 3295, 1010, 1998, 1996, 17942, 5310, 2064, 7276, 2029, 7339, 2000, 3193, 1012, 1037, 3274, 1011, 7528, 4118, 9605, 1024, 4909, 1010, 2011, 2028, 2030, 2062, 9798, 5733, 1010, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1025, 6364, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1996, 2363, 2444, 4871, 1025, 4909, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1025, 4346, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1996, 7303, 4949, 2951, 1025, 4909, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1025, 12515, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1998, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1025, 1998, 4346, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 2582, 9605, 1024, 12515, 1010, 2478, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1025, 1998, 19120, 1996, 3746, 5425, 5080, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 16726, 1996, 2363, 4871, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 9605, 25952, 3167, 2592, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 1996, 4118, 1997, 4366, 1018, 1010, 16726, 1996, 3167, 2592, 2950, 2529, 5344, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 22910, 12403, 2213, 2951, 1012, 1037, 2291, 9605, 1024, 2012, 2560, 2028, 3746, 5425, 5080, 10959, 2012, 1037, 10056, 3295, 1025, 2028, 2030, 2062, 18017, 1999, 4807, 2007, 1996, 3746, 5425, 5080, 1010, 1996, 2028, 2030, 18017, 16984, 2000, 1024, 4374, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1025, 2832, 1996, 2363, 2444, 4871, 1025, 4374, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1025, 3073, 1996, 7303, 4949, 2951, 1025, 4374, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1025, 5646, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1025, 1998, 3073, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 1996, 2028, 2030, 2062, 18017, 2024, 2582, 16984, 2000, 5646, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1010, 1998, 16726, 1996, 2012, 2560, 2028, 3746, 5425, 5080, 2003, 10959, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 1996, 2363, 4871, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 25952, 3167, 2592, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 1996, 2291, 1997, 4366, 2184, 1010, 16726, 1996, 3167, 2592, 2950, 2529, 5344, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 22910, 12403, 2213, 2951, 1012, 1037, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 23977, 2592, 1998, 8128, 4654, 8586, 23056, 2011, 1037, 13151, 2005, 4488, 1037, 4118, 1997, 4346, 2444, 13425, 1010, 1996, 4118, 9605, 1024, 4909, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1025, 6364, 1996, 2363, 2444, 4871, 1025, 4909, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1025, 4346, 1996, 7303, 4949, 2951, 1025, 4909, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1025, 12515, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1025, 1998, 4346, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 1996, 4118, 2582, 9605, 12515, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1010, 16726, 1996, 3746, 5425, 5080, 2003, 10959, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 16726, 1996, 2363, 4871, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 9605, 25952, 3167, 2592, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2385, 1010, 16726, 1996, 3167, 2592, 2950, 2529, 5344, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 22910, 12403, 2213, 2951, 1012, 2588, 5227, 1010, 4949, 2951, 2005, 1037, 2445, 3295, 1998, 3378, 13425, 2089, 2022, 3024, 2000, 1037, 5310, 1012, 2107, 3378, 13425, 2003, 4050, 4110, 2011, 1037, 4316, 1011, 5614, 4950, 2004, 1996, 4316, 9297, 2083, 1996, 2445, 3295, 1010, 1998, 2059, 8250, 1999, 1037, 7809, 1012, 2138, 1997, 1996, 6019, 1997, 2051, 2090, 3746, 5425, 1998, 4346, 1996, 3746, 2000, 1996, 5310, 1010, 1996, 13425, 2089, 17120, 2592, 2008, 2003, 22537, 2030, 2041, 1997, 3058, 1012, 2005, 2742, 1010, 1996, 13425, 2089, 17120, 2810, 2008, 2003, 2053, 2936, 7552, 1010, 2030, 1037, 2449, 2008, 2003, 2053, 2936, 6515, 1012, 2379, 2613, 1011, 2051, 13425, 1997, 1037, 2445, 3295, 2089, 2022, 3024, 2000, 5310, 2588, 5227, 1012, 2087, 16071, 7021, 9183, 5269, 2089, 2022, 4340, 1010, 1998, 1037, 9475, 3014, 3746, 5425, 5080, 2089, 2022, 10959, 2012, 2107, 5269, 1012, 1996, 3746, 5425, 5080, 2089, 14678, 3073, 3746, 2592, 1010, 2029, 2003, 13995, 1010, 2005, 2742, 1010, 2000, 6366, 3167, 2592, 1998, 11307, 12403, 2213, 1012, 2107, 3746, 2592, 2089, 2059, 2022, 3024, 2000, 5198, 2588, 5227, 1012, 2138, 1996, 3746, 5425, 5080, 14678, 19566, 3674, 5328, 1997, 1996, 2445, 3295, 1010, 1996, 17942, 5310, 2064, 7276, 2029, 7339, 2000, 3193, 1012, 2028, 7814, 1997, 1996, 19380, 3640, 1037, 3274, 1011, 7528, 4118, 2005, 4346, 2444, 13425, 2000, 5198, 2588, 5227, 1012, 1999, 2023, 4118, 2028, 2030, 2062, 9798, 5733, 4374, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1010, 1998, 2832, 1996, 2363, 2444, 4871, 1012, 2582, 1010, 1996, 2028, 2030, 2062, 9798, 5733, 4374, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1010, 1998, 3073, 1996, 7303, 4949, 2951, 1012, 1996, 2028, 2030, 2062, 9798, 5733, 2582, 4374, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1010, 1998, 5646, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1012, 1996, 2028, 2030, 2062, 9798, 5733, 3073, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 2429, 2000, 2028, 2742, 1010, 1996, 2028, 2030, 2062, 9798, 5733, 2582, 5646, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1010, 1998, 1996, 3746, 5425, 5080, 2003, 10959, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 2363, 4871, 2089, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 6364, 1996, 2363, 2444, 4871, 2089, 2421, 25952, 3167, 2592, 1010, 2107, 2004, 2529, 5344, 1998, 6105, 5127, 3616, 1010, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 14084, 2030, 5678, 1010, 6364, 1996, 2363, 4871, 2089, 2421, 22910, 12403, 2213, 2951, 1012, 2178, 7814, 1997, 1996, 19380, 3640, 1037, 2291, 9605, 2012, 2560, 2028, 3746, 5425, 5080, 10959, 2012, 1037, 10056, 3295, 1010, 1998, 2028, 2030, 2062, 18017, 1999, 4807, 2007, 1996, 3746, 5425, 5080, 1012, 1996, 2028, 2030, 18017, 2024, 16984, 2000, 4374, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1010, 2832, 1996, 2363, 2444, 4871, 1010, 4374, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1010, 3073, 1996, 7303, 4949, 2951, 1010, 4374, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1010, 5646, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1010, 1998, 3073, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 2664, 2178, 7814, 1997, 1996, 19380, 3640, 1037, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 23977, 2592, 1998, 8128, 4654, 8586, 23056, 2011, 1037, 13151, 1012, 2043, 6472, 1010, 1996, 8128, 4685, 1037, 4118, 9605, 4909, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1010, 6364, 1996, 2363, 2444, 4871, 1010, 4909, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1010, 1998, 4346, 1996, 7303, 4949, 2951, 1012, 2023, 4118, 2582, 2950, 4909, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1010, 12515, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1010, 1998, 4346, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 20965, 1012, 1015, 2003, 1037, 8360, 16403, 1997, 1037, 2291, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1016, 2003, 1037, 28304, 16403, 1997, 1996, 2291, 1997, 20965, 1012, 1015, 1012, 20965, 1012, 1017, 2003, 2019, 2742, 3898, 2915, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1018, 2003, 2178, 2742, 3898, 2915, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1019, 2003, 2178, 2742, 3898, 2915, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1020, 2003, 1037, 4834, 16403, 1997, 2019, 2742, 4118, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 2588, 5227, 2011, 1037, 5310, 1010, 2444, 13425, 1997, 1037, 2445, 3295, 2089, 2022, 3024, 2000, 1996, 5310, 2058, 1996, 4274, 1999, 2523, 2007, 4949, 2951, 2005, 1996, 2445, 3295, 1012, 2005, 2742, 1010, 2019, 3746, 5425, 5080, 2089, 2022, 10959, 2012, 1996, 2445, 3295, 1998, 2089, 14678, 3073, 13425, 2000, 2028, 2030, 2062, 9798, 5733, 1012, 1996, 2028, 2030, 2062, 9798, 5733, 2832, 1996, 13425, 2000, 1010, 2005, 2742, 1010, 6366, 3167, 2592, 1006, 1041, 1012, 1043, 1012, 1010, 5344, 1998, 1013, 2030, 6105, 5127, 3616, 1007, 1998, 11307, 12403, 2213, 1012, 1037, 5310, 2089, 5227, 4949, 2951, 2005, 1996, 2445, 3295, 1010, 1998, 2089, 2036, 5227, 2444, 13425, 1997, 1996, 2445, 3295, 1012, 1999, 3433, 2000, 1996, 5227, 1010, 1996, 2028, 2030, 2062, 18017, 3073, 1996, 13995, 2444, 4871, 3378, 2007, 1996, 7303, 4949, 2951, 1012, 1996, 3746, 5425, 5080, 2089, 2022, 1010, 2005, 2742, 1010, 1037, 9475, 3014, 2678, 4950, 1012, 1999, 2023, 7634, 1010, 1996, 3746, 5425, 5080, 2089, 14678, 5425, 1037, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 2429, 2000, 2028, 2742, 1010, 1999, 17942, 1996, 2444, 13425, 1010, 1996, 5310, 2089, 20648, 1037, 21386, 2005, 1996, 13425, 1012, 2005, 2742, 1010, 1996, 5310, 2089, 12040, 20396, 2592, 2007, 1996, 5227, 2005, 13425, 1010, 1998, 1999, 3433, 4374, 1037, 6903, 1997, 1996, 4110, 13425, 1012, 19120, 1997, 1996, 3746, 5425, 5080, 2089, 2022, 4340, 2241, 2006, 6217, 1012, 2005, 2742, 1010, 1996, 2028, 2030, 2062, 9798, 5733, 2089, 5646, 2005, 2029, 10056, 5269, 1996, 2087, 11186, 2005, 4949, 2951, 2030, 13425, 2024, 2363, 1012, 3746, 5425, 5733, 2089, 2022, 10959, 2012, 1996, 4340, 5269, 1012, 9544, 8231, 1010, 1996, 3746, 5425, 5733 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 8893, 11698, 1998, 3617, 7504, 14192, 2075, 9099, 3401, 16402, 2015, 2024, 6150, 1999, 12786, 1996, 4119, 1997, 6450, 8051, 1998, 2152, 2731, 8964, 2015, 1999, 1996, 2279, 4245, 4971, 19198, 1011, 4400, 1006, 3461, 1011, 4400, 1007, 5294, 2771, 5302, 1006, 3674, 1011, 7953, 3674, 1011, 6434, 1007, 3001, 1012, 2174, 1010, 3768, 1997, 3929, 3617, 7504, 14192, 2075, 1999, 8893, 4294, 2015, 1998, 2460, 2522, 5886, 10127, 2335, 2012, 3461, 1011, 4400, 17607, 3176, 14679, 2006, 1996, 3149, 24155, 1012, 3188, 2573, 2006, 12786, 2122, 7860, 2031, 4208, 4321, 2006, 4867, 12733, 6833, 16726, 20600, 1011, 2241, 2030, 20505, 13792, 2020, 4846, 2000, 18547, 8893, 7504, 14192, 2545, 1012, 1999, 2023, 3259, 1010, 2057, 8970, 1037, 2784, 4083, 1006, 21469, 1007, 3921, 2005, 4101, 3149, 24155, 1998, 8893, 7504, 14192, 2075, 2005, 6075, 1011, 13228, 1010, 2898, 12733, 3461, 1011, 4400, 3001, 1012, 1999, 3327, 1010, 2057, 5136, 1037, 5294, 2771, 5302, 28721, 6075, 2407, 3674, 19612, 1006, 2771, 5302, 1011, 1997, 22117, 1007, 2291, 1998, 16599, 2093, 2367, 21469, 7705, 2015, 9605, 9530, 6767, 7630, 3508, 2389, 15756, 6125, 1006, 13229, 2015, 1007, 1010, 2029, 5138, 1996, 2363, 4405, 4742, 2004, 7953, 1998, 10750, 1996, 8893, 7504, 14192, 2545, 2012, 1996, 6434, 1012, 15973, 7885, 10580, 2008, 1010, 4102, 2000, 1996, 2783, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 20600, 1998, 21469, 4725, 1010, 2256, 3921, 3640, 3020, 17435, 8122, 1010, 8276, 15078, 3465, 1010, 1998, 3020, 13986, 2114, 1996, 24353, 2015, 1999, 1996, 2363, 4405, 2951, 1010, 27279, 3149, 8185, 1010, 1998, 20594, 4044, 1012, 1005, 3166, 1024, 1011, 1005, 6289, 11368, 1049, 1012, 3449, 17706, 1998, 9600, 17027, 28616, 13492, 1031, 1034, 1015, 1033, 1031, 1034, 1016, 1033, 1005, 24751, 1024, 1011, 1005, 15368, 7875, 2099, 2615, 1012, 12170, 2497, 1005, 1011, 1005, 7604, 1032, 1035, 5840, 2581, 1032, 1035, 3485, 1012, 12170, 2497, 1005, 2516, 1024, 1005, 2784, 4083, 9942, 2005, 4101, 3149, 24155, 1998, 8893, 7504, 14192, 2075, 1999, 4800, 1011, 6839, 3461, 1011, 4400, 5294, 2771, 5302, 3001, 1005, 1011, 1011, 1011, 3149, 24155, 1010, 2784, 4083, 1010, 8893, 7504, 14192, 2075, 1010, 3461, 1011, 4400, 1010, 2898, 12733, 5294, 2771, 5302, 1012, 4955, 1063, 1001, 10819, 1024, 17174, 8566, 26243, 2239, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 7511, 12562, 4806, 3001, 9015, 2013, 8674, 15843, 2096, 1996, 5157, 2005, 7289, 20235, 1998, 3020, 2951, 6165, 2003, 10843, 4852, 1031, 1030, 2771, 5302, 7840, 8584, 1033, 1012, 1999, 2023, 6123, 1010, 4971, 19198, 4400, 1006, 3461, 1011, 4400, 1007, 2316, 2003, 1037, 6871, 4018, 2005, 3587, 1011, 4245, 1006, 1019, 2290, 1007, 4806, 2974, 2138, 2027, 3073, 3020, 2951, 3446, 1998, 7289, 20235, 1031, 1030, 2771, 5302, 7840, 8584, 1025, 1030, 28616, 13492, 11387, 16147, 18790, 4232, 1025, 1030, 1019, 2290, 2860, 12707, 29602, 15909, 4783, 1025, 1030, 23148, 11387, 16147, 2890, 8663, 8873, 27390, 3085, 1025, 1030, 1037, 19903, 2099, 11387, 16147, 3217, 8286, 2102, 1033, 1012, 4102, 2000, 4942, 1011, 1020, 29066, 21670, 4372, 11365, 18655, 1999, 1019, 2290, 1010, 1996, 3461, 1011, 4400, 7755, 8087, 1037, 2062, 3375, 20594, 4044, 2008, 2003, 7356, 2011, 3020, 17501, 1010, 5729, 20015, 6409, 1010, 2896, 4487, 4246, 25533, 1010, 1998, 3020, 4130, 3279, 2005, 4964, 11659, 1998, 8393, 12154, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1033, 1012, 1996, 3461, 1011, 4400, 3001, 21155, 5294, 13438, 27448, 1011, 2788, 1999, 1037, 3674, 1011, 7953, 3674, 1011, 6434, 1006, 2771, 5302, 1007, 9563, 1011, 2000, 6162, 9140, 1998, 3674, 19612, 5114, 1010, 1998, 8558, 19079, 2005, 1996, 20594, 6409, 2012, 2152, 13139, 1031, 1030, 2771, 5302, 25032, 5243, 2705, 1033, 1012, 2174, 1010, 2107, 1037, 2312, 9140, 5942, 1037, 4056, 2557, 1011, 6075, 1006, 21792, 1007, 4677, 2005, 2169, 13438, 4525, 1999, 2019, 6450, 2291, 4294, 1998, 2152, 2373, 8381, 1012, 1999, 2344, 2000, 4769, 2023, 1010, 8893, 11698, 1998, 2918, 12733, 7504, 14192, 2075, 4294, 2015, 2031, 2042, 3107, 1010, 16726, 1037, 2235, 2193, 1997, 4403, 1011, 2069, 11698, 7504, 14192, 2545, 2024, 4846, 2000, 20634, 1996, 13110, 1012, 1996, 2091, 1011, 4991, 4742, 2003, 2059, 13995, 2011, 2918, 12733, 7504, 14192, 2545, 1010, 2169, 1997, 2029, 2003, 4056, 2000, 1037, 2309, 21792, 4677, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1025, 1030, 2771, 5302, 25032, 5243, 2705, 1025, 1030, 2771, 15530, 9289, 2075, 6279, 1033, 1012, 2023, 5257, 1997, 2152, 1011, 8789, 4403, 1011, 2069, 11698, 1998, 2659, 1011, 8789, 2918, 12733, 3617, 7504, 14192, 2545, 6022, 13416, 1996, 2193, 1997, 21792, 8859, 2096, 2036, 8498, 7182, 7504, 14192, 2075, 5114, 1031, 1030, 3461, 16535, 14839, 12260, 8163, 1025, 1030, 2771, 5302, 25032, 5243, 2705, 1033, 1012, 2174, 1010, 3768, 1997, 3929, 3617, 7504, 14192, 2075, 1999, 8893, 4294, 2015, 22382, 7860, 1999, 3461, 1011, 4400, 3149, 24155, 1031, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 1025, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 2475, 1025, 1030, 3149, 4355, 9581, 3508, 2487, 1025, 1030, 3149, 4355, 9581, 3508, 2487, 6169, 1025, 1030, 3149, 5302, 9247, 27694, 3366, 3676, 3501, 4213, 1025, 1030, 3149, 5302, 9247, 27694, 8583, 4710, 13089, 1033, 1012, 1996, 7107, 17191, 3149, 2110, 2592, 1006, 22174, 1007, 2003, 6827, 2005, 5294, 2771, 5302, 4806, 2138, 3653, 3597, 4667, 2012, 2091, 13767, 2030, 21933, 4667, 2012, 2039, 13767, 6726, 5942, 3811, 8321, 22174, 2000, 6162, 13589, 8906, 1998, 3674, 19612, 5114, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1033, 1012, 1999, 3218, 1010, 4405, 7755, 2024, 18043, 11860, 1998, 1996, 2363, 7755, 2024, 13995, 2000, 10197, 1996, 22174, 1031, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 2475, 1025, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 2475, 1033, 1012, 2582, 1010, 1996, 3461, 1011, 4400, 10058, 2107, 2004, 7169, 1998, 2310, 16066, 7934, 4806, 2024, 3811, 8023, 2007, 2460, 2522, 5886, 10127, 2335, 1031, 1030, 2522, 5886, 10127, 7292, 2890, 2546, 1033, 2008, 26785, 7971, 17570, 2015, 2224, 1997, 3149, 24155, 13792, 2008, 2024, 15873, 2000, 24353, 2015, 1999, 1996, 3149, 2951, 1012, 2320, 1996, 22174, 2003, 4663, 1010, 1996, 8893, 11698, 1998, 2918, 12733, 7504, 14192, 2545, 2024, 2881, 2478, 2593, 7107, 17191, 3149, 8185, 2030, 3149, 2522, 10755, 28335, 8185, 1006, 10507, 2213, 1007, 1012, 25307, 14192, 2075, 2241, 2006, 1996, 3732, 3640, 2896, 17435, 8122, 1031, 1030, 2898, 12733, 2232, 2497, 24415, 5833, 7076, 7959, 2098, 5963, 1033, 2138, 10507, 2213, 2515, 2025, 8339, 1996, 7107, 17191, 6337, 1997, 1996, 3149, 1012, 6516, 1010, 2009, 2003, 2062, 2691, 2000, 16462, 1996, 3149, 8185, 2005, 8893, 7504, 14192, 2075, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2509, 1025, 1030, 8893, 29292, 2389, 21246, 2378, 1025, 1030, 8893, 29292, 8261, 6072, 1025, 1030, 2061, 13492, 26282, 2546, 22117, 1033, 1012, 1999, 3522, 2086, 1010, 2195, 5461, 2031, 2042, 3818, 2000, 2640, 1996, 8893, 3653, 16044, 2869, 1999, 3461, 1011, 4400, 2771, 5302, 3001, 1012, 3988, 2573, 2031, 4208, 2006, 4867, 1011, 2316, 6833, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2509, 1025, 1030, 2771, 5302, 25032, 5243, 2705, 1025, 1030, 8893, 29292, 8261, 6072, 1033, 1012, 2174, 1010, 2000, 6464, 16462, 1996, 3461, 1011, 4400, 2771, 5302, 4294, 2015, 2007, 4659, 3469, 20235, 1010, 2045, 2024, 3522, 1998, 4164, 2098, 4073, 2646, 4975, 19595, 8893, 7504, 14192, 2075, 5461, 1012, 1996, 3145, 4119, 1999, 8893, 7504, 14192, 2075, 2005, 1037, 19595, 6075, 1011, 13228, 3149, 2003, 12697, 1037, 2691, 11698, 7504, 14192, 2121, 2008, 2003, 4207, 2408, 2035, 4942, 10010, 16252, 2015, 2096, 1996, 3617, 1006, 2918, 12733, 1007, 7504, 14192, 2121, 15871, 2342, 2000, 2022, 3563, 2000, 1037, 4942, 10010, 16252, 1012, 2023, 4489, 1999, 8893, 7504, 14192, 2075, 2640, 1997, 6075, 1011, 13228, 6833, 2013, 4257, 1011, 14059, 2553, 2003, 1996, 3078, 14354, 2005, 6195, 8893, 7504, 14192, 2075, 2005, 28721, 6075, 2407, 3674, 19612, 1006, 1997, 22117, 1007, 25502, 1012, 1996, 15502, 7504, 14192, 2075, 9207, 1999, 1037, 6075, 1011, 13228, 3149, 9041, 2006, 1996, 6075, 1010, 1045, 1012, 1041, 1012, 1010, 1037, 4942, 10010, 16252, 1999, 1997, 22117, 1010, 2021, 1996, 11698, 7504, 14192, 2121, 1999, 2151, 1997, 1996, 4867, 1011, 2316, 8893, 5090, 3685, 8137, 2007, 6075, 1012, 2947, 1010, 1037, 2691, 11698, 7504, 14192, 2121, 2442, 2022, 2881, 1999, 9584, 1997, 4254, 2000, 2035, 4942, 10010, 16252, 2015, 1010, 8558, 2437, 1996, 8893, 3653, 3597, 4667, 2062, 3697, 2084, 1996, 4867, 1011, 2316, 2553, 1012, 2426, 3188, 2573, 1010, 1031, 1030, 2898, 12733, 26058, 4355, 2487, 1025, 1030, 2898, 12733, 26058, 4355, 2475, 1033, 5136, 3149, 24155, 2005, 2898, 12733, 3461, 1011, 4400, 5294, 2771, 5302, 3001, 1012, 1996, 8893, 7504, 14192, 2075, 2640, 2001, 10847, 1999, 1031, 1030, 2632, 15256, 17389, 2497, 11387, 16048, 19699, 2063, 4226, 9407, 11246, 22471, 3512, 1025, 1030, 2061, 13492, 26282, 2546, 22117, 1025, 1030, 2898, 12733, 2232, 2497, 24415, 5833, 7076, 7959, 2098, 5963, 1025, 1030, 2898, 12733, 19968, 15058, 2094, 1033, 2073, 1997, 22117, 1011, 2241, 6075, 1011, 13228, 5090, 2024, 2881, 1012, 1999, 3327, 1010, 1031, 1030, 2632, 15256, 17389, 2497, 11387, 16048, 19699, 2063, 4226, 9407, 11246, 22471, 3512, 1033, 17146, 1037, 13250, 1011, 12940, 28721, 3989, 2241, 3921, 2005, 8893, 7504, 14192, 2075, 1006, 28177, 1011, 1044, 2497, 1007, 2007, 1996, 11213, 1997, 3819, 22174, 1998, 28177, 1011, 1044, 2497, 27034, 1996, 3653, 16044, 2869, 2013, 1037, 10713, 3642, 8654, 2029, 2024, 4663, 2013, 1996, 7107, 17191, 3149, 2951, 1012, 2478, 1996, 2168, 11213, 2006, 22174, 1010, 1031, 1030, 2061, 13492, 26282, 2546, 22117, 1033, 3818, 1037, 4403, 14676, 3921, 2005, 8893, 3653, 16044, 2099, 2640, 1012, 1999, 1031, 1030, 15503, 11387, 16048, 16693, 2884, 1033, 1010, 1037, 10562, 11698, 7504, 14192, 2121, 2003, 2881, 2241, 2006, 1996, 2117, 1011, 2344, 13589, 3149, 2522, 10755, 28335, 8185, 1997, 1037, 2898, 12733, 3149, 1012, 1999, 1031, 1030, 9327, 11387, 16048, 8261, 1033, 1010, 1996, 14925, 6673, 2102, 1011, 2402, 1011, 14719, 5874, 8185, 20167, 2003, 4846, 2000, 2424, 1996, 2898, 12733, 7504, 14192, 2075, 21520, 2008, 2031, 1996, 6263, 25826, 3292, 2013, 1996, 15502, 7300, 1012, 1999, 1031, 1030, 3389, 11387, 16932, 18900, 17682, 1033, 1010, 1996, 2898, 12733, 7504, 14192, 2121, 2640, 2003, 3459, 2004, 1037, 3945, 2005, 1037, 2691, 3978, 8185, 2005, 1996, 24807, 10732, 2015, 18212, 2011, 2035, 4942, 10010, 16252, 2015, 1521, 3149, 21520, 1998, 1996, 3020, 2344, 13048, 3643, 22511, 1006, 7570, 2015, 16872, 1007, 4118, 2003, 4162, 1012, 1999, 1031, 1030, 8802, 11387, 15136, 10536, 23736, 2094, 1033, 1010, 13438, 4989, 2003, 2036, 3107, 2000, 2898, 12733, 8893, 7504, 14192, 2075, 1012, 2009, 20397, 1996, 2004, 24335, 13876, 20214, 28721, 3012, 1997, 9140, 9602, 19019, 1998, 17146, 2048, 16108, 1011, 2592, 1011, 2241, 7504, 14192, 2075, 11683, 2000, 9483, 1996, 11213, 1997, 2440, 22174, 2012, 1996, 11659, 2107, 2008, 3716, 1997, 2069, 12113, 1997, 6712, 2003, 3223, 1012, 3053, 2035, 1997, 1996, 17289, 4725, 6118, 11160, 2006, 3819, 22174, 3716, 1012, 2023, 2003, 2200, 17727, 22648, 14656, 2445, 1996, 3811, 8790, 3267, 1997, 3461, 1011, 4400, 3149, 1031, 1030, 2522, 5886, 10127, 7292, 2890, 2546, 1033, 1012, 2000, 9483, 2023, 18642, 1998, 6855, 15873, 2836, 2114, 1996, 29238, 8496, 1999, 1996, 4358, 3149, 8185, 1010, 2057, 11628, 1037, 2784, 4083, 1006, 21469, 1007, 3921, 1012, 1996, 21469, 2003, 5214, 1997, 26944, 2075, 3375, 6550, 1999, 2951, 1013, 7755, 1998, 1010, 2947, 1010, 2064, 6162, 2488, 2836, 1012, 2023, 2038, 2042, 7645, 1999, 2195, 3144, 5097, 1997, 21469, 1999, 9949, 4806, 3471, 2107, 2004, 3149, 24155, 1031, 1030, 2771, 5302, 19422, 26058, 4355, 9581, 3508, 1025, 1030, 2784, 2278, 10695, 1035, 3149, 4355, 9581, 3508, 1033, 1010, 11698, 7504, 4989, 1031, 1030, 2771, 5302, 19422, 10536, 23736, 2094, 1025, 1030, 23148, 11387, 16147, 12274, 7096, 2072, 1033, 1010, 1998, 2036, 8893, 7504, 14192, 2075, 1031, 1030, 2771, 5302, 19422, 10536, 23736, 2094, 1025, 1030, 2771, 5302, 19422, 26058, 5302, 9247, 28302, 14192, 2075, 12172, 8654, 1025, 1030, 2771, 5302, 26095, 9397, 2890, 16044, 26371, 23773, 1025, 1030, 3449, 9001, 2140, 1035, 4012, 19968, 1025, 1030, 3449, 17706, 16211, 16778, 5422, 2278, 10695, 11387, 16147 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6160, 2000, 2256, 4037, 999, 2004, 2057, 2031, 1996, 3754, 2000, 2862, 2058, 2028, 2454, 5167, 2006, 2256, 4037, 1006, 2256, 4989, 3431, 2035, 1997, 1996, 2051, 1007, 1010, 2009, 2003, 2025, 22945, 2005, 1037, 2194, 2256, 2946, 2000, 2501, 1998, 18245, 1996, 13271, 2006, 2296, 8875, 2006, 2256, 4037, 1012, 2174, 1010, 2065, 2017, 2024, 2019, 2137, 2007, 1037, 11980, 2057, 2024, 2182, 2000, 2393, 2017, 1012, 3531, 2655, 2256, 11980, 2578, 3042, 2240, 2012, 6205, 2683, 1011, 6640, 2549, 1011, 6021, 2683, 2629, 2076, 3180, 2449, 2847, 1998, 2028, 1997, 2256, 2785, 1998, 5379, 3167, 4497, 7347, 2097, 2393, 2017, 22149, 2083, 2256, 4037, 1010, 2393, 6204, 3935, 17193, 1010, 2393, 2017, 5454, 1996, 8875, 2017, 2024, 2559, 2005, 2007, 1996, 15480, 2017, 2024, 6224, 1010, 3191, 2017, 1996, 15480, 1997, 2151, 8875, 1998, 23363, 2007, 2017, 2055, 1996, 3688, 3209, 1012, 2045, 2003, 2053, 3715, 2005, 1996, 2393, 1997, 2023, 3167, 4497, 4842, 2005, 2151, 2137, 2007, 1037, 11980, 1012, 2633, 1010, 2115, 3167, 4497, 4842, 2097, 4863, 2256, 9394, 3343, 1998, 3408, 1997, 2326, 1010, 1998, 2393, 2017, 2173, 2019, 2344, 2065, 2017, 2061, 4792, 1012, 22160, 2546, 16237, 4425, 2522, 1999, 15842, 1010, 13316, 2003, 2019, 9362, 11033, 1997, 22160, 2546, 3688, 1012, 2137, 13749, 2368, 18518, 1998, 2647, 26286, 9650, 2024, 1996, 23354, 2015, 1997, 22160, 2546, 1005, 1055, 2640, 8426, 2000, 3443, 9525, 1010, 6276, 1011, 3341, 23228, 2015, 1006, 6904, 18796, 3215, 1007, 1998, 27902, 16611, 1012, 3569, 2011, 2058, 3770, 2086, 1997, 27902, 1998, 8051, 5814, 3325, 1010, 22160, 2546, 1005, 1055, 9542, 3829, 1998, 7198, 14927, 2421, 1037, 2846, 1997, 3824, 1010, 17459, 1998, 3151, 3688, 1012, 2061, 2065, 2017, 2024, 2559, 2005, 22160, 2546, 3688, 1999, 15842, 1010, 9296, 1010, 12385, 12691, 1010, 4267, 1010, 4970, 2940, 1010, 20533, 1010, 13450, 1010, 9079, 6076, 1010, 6384, 3077, 1010, 4267, 1998, 6857, 4057, 1010, 2030, 2065, 2017, 2031, 2151, 3980, 2055, 22160, 2546, 3688, 1010, 3531, 2514, 2489, 2000, 2655, 2149, 2012, 6205, 2683, 1011, 6640, 2549, 1011, 6021, 2683, 2629, 2030, 3432, 2644, 2011, 16237, 4425, 2522, 2012, 2151, 2051, 1998, 2057, 2052, 2022, 5580, 2000, 2393, 2017, 1012, 1996, 2400, 1011, 3045, 2572, 20624, 2015, 6457, 2291, 9005, 1037, 5621, 11813, 6457, 2075, 3325, 1012, 13685, 2007, 2116, 2152, 1011, 6627, 2838, 1010, 1996, 2572, 20624, 2015, 6457, 2291, 4107, 1037, 16684, 17201, 3466, 2478, 2419, 10381, 21716, 14573, 6906, 7685, 7497, 1012, 1996, 2419, 7497, 2003, 10959, 2306, 1996, 6457, 3614, 2000, 5587, 1037, 2047, 9812, 2000, 1996, 8902, 2819, 1010, 4283, 2000, 14958, 7497, 1011, 2145, 1037, 15839, 2109, 4145, 1999, 5723, 2640, 1012, 28319, 1011, 3168, 2003, 2019, 9525, 1010, 3811, 10660, 6457, 3074, 2005, 1996, 2087, 9694, 16958, 1012, 2300, 1010, 2422, 1998, 2614, 23339, 1999, 19452, 5703, 1010, 3499, 2005, 1037, 6748, 3168, 1997, 25860, 1012, 2007, 2536, 5047, 7047, 1998, 3365, 6457, 6177, 1010, 28319, 1011, 3168, 2064, 8116, 1037, 3558, 1998, 6832, 3325, 1012, 5059, 7780, 2013, 1037, 3151, 2300, 10216, 1010, 1043, 1009, 2640, 2996, 8590, 2019, 25963, 4031, 2046, 2019, 11552, 1998, 2715, 4874, 2005, 10126, 2224, 1012, 1999, 2169, 2944, 1010, 20222, 14567, 2049, 4310, 7208, 2000, 2119, 1996, 2627, 1998, 1996, 2556, 1012, 8945, 10820, 2080, 4107, 15514, 3504, 1998, 2104, 9153, 3064, 6782, 1010, 2019, 18678, 3921, 2000, 2640, 21570, 1996, 3791, 1997, 2296, 5310, 1012, 2007, 29202, 3169, 1998, 3947, 3238, 2806, 1010, 8945, 10820, 2080, 9023, 2000, 10390, 2040, 2024, 2119, 26261, 4215, 24333, 2055, 8434, 1998, 2215, 2000, 3443, 1037, 17950, 6742, 2686, 1012, 3151, 6010, 3824, 2007, 1996, 12138, 13267, 3074, 1012, 2881, 2011, 22160, 2546, 1005, 1055, 1043, 1009, 2640, 2996, 1010, 1996, 3074, 1005, 1055, 2806, 2003, 17459, 1998, 3811, 4310, 1010, 4352, 2009, 2000, 4906, 2046, 2119, 3151, 1998, 3824, 10906, 1012, 23293, 6652, 1998, 3487, 2937, 12465, 12411, 5332, 14680, 2007, 2715, 6481, 1998, 6786, 1010, 2169, 15083, 10637, 1037, 20783, 6018, 3737, 1012, 9976, 5836, 1996, 3819, 3601, 2005, 2216, 2040, 3945, 2005, 1037, 3151, 6652, 2514, 1999, 2037, 5723, 1012, 3251, 1999, 1996, 6086, 6457, 2544, 2030, 1999, 1996, 3151, 6457, 4974, 1010, 2023, 3074, 2003, 2467, 11552, 1998, 8200, 1012, 2800, 2007, 2892, 16024, 1010, 17767, 16024, 1010, 2030, 3384, 16024, 1010, 1996, 2878, 3074, 2038, 2042, 2764, 1999, 2195, 9062, 1998, 2146, 1011, 9879, 12321, 1012, 6595, 2995, 2000, 2049, 17283, 1010, 1996, 24750, 3074, 2003, 3605, 2478, 8331, 3210, 2008, 5041, 2368, 2012, 1996, 2918, 1998, 6823, 2099, 2046, 1037, 19415, 3300, 1012, 2007, 1037, 9844, 3347, 6904, 18796, 2102, 1010, 2023, 3940, 9005, 1037, 8060, 5257, 1998, 9909, 1037, 4840, 7339, 2000, 1996, 3829, 2686, 1012, 1037, 19415, 2433, 2007, 16762, 27745, 1010, 27047, 19319, 2015, 12878, 4654, 24539, 1037, 27768, 5574, 1012, 2306, 2049, 4556, 2640, 1010, 27047, 4107, 1037, 9844, 2217, 12509, 2000, 3499, 2300, 2000, 2022, 2109, 1999, 2367, 3971, 2008, 4848, 1996, 5310, 1012, 1037, 4535, 1011, 4427, 21776, 1010, 4241, 2595, 4917, 4832, 10667, 25201, 1998, 19415, 1012, 2007, 1037, 2022, 15985, 2098, 3300, 1998, 27885, 5809, 2063, 2918, 1010, 4241, 2595, 4917, 12237, 2995, 2000, 2993, 2096, 17903, 1996, 3829, 2007, 1037, 6625, 1010, 10017, 2572, 15599, 3401, 1012, 1996, 2217, 12509, 4107, 2130, 2062, 16991, 1999, 1996, 2540, 1997, 1996, 2188, 1010, 1996, 3829, 1012, 6549, 4751, 11506, 2007, 4550, 3210, 2000, 2433, 1996, 2986, 20715, 3074, 1012, 1037, 3819, 12586, 1997, 4519, 1998, 27745, 1010, 2023, 2440, 7621, 4107, 2019, 19401, 9140, 1997, 9804, 2013, 6904, 18796, 3215, 2000, 6457, 3787, 1012, 2004, 2017, 18855, 2091, 1996, 6337, 1997, 1996, 25749, 3074, 1010, 2023, 3824, 2640, 5041, 6132, 1999, 2049, 2433, 1012, 4415, 2049, 4338, 2003, 3214, 2000, 3972, 3170, 3686, 1037, 20783, 1998, 4550, 2806, 1012, 1996, 9530, 21163, 1997, 1996, 16024, 2003, 1037, 7444, 5783, 2008, 7861, 5092, 18389, 2023, 5664, 21776, 1012, 1996, 2640, 1997, 1996, 3824, 3074, 2001, 5173, 2013, 1996, 20724, 2015, 1997, 4438, 18580, 1010, 11865, 7741, 2019, 3919, 12465, 2007, 4751, 16839, 9080, 12863, 1997, 1996, 2035, 1011, 2137, 18407, 1012, 17158, 3550, 2011, 22160, 2546, 1005, 1055, 1043, 1009, 2640, 2996, 1010, 1996, 6904, 18796, 2102, 1005, 1055, 19144, 5047, 1010, 21195, 1037, 2482, 9602, 5217, 1010, 4107, 1037, 4310, 20551, 2964, 1998, 15581, 8010, 2000, 3824, 1998, 4087, 10058, 1012, 2169, 3538, 2003, 19275, 2007, 1037, 3579, 2006, 3330, 1998, 13749, 2368, 18518, 1010, 4525, 1999, 1037, 10124, 2923, 1998, 2130, 5512, 1012, 3143, 2007, 1037, 2440, 2240, 1997, 9844, 6457, 6177, 1998, 16611, 1010, 27523, 13663, 2064, 13883, 1996, 8360, 1998, 2640, 3791, 1997, 2115, 2279, 2622, 1012, 2007, 8200, 1010, 5859, 16024, 1010, 1996, 15579, 3829, 6904, 18796, 2102, 8834, 1037, 4310, 1010, 2715, 2806, 2190, 10897, 2005, 3824, 5617, 1012, 2005, 2119, 8434, 1998, 4550, 1011, 2039, 1010, 29483, 16462, 1996, 2217, 12509, 2005, 2130, 2062, 15380, 2306, 1996, 3829, 1012, 4519, 2711, 7810, 1012, 2008, 1005, 1055, 1996, 2190, 2126, 2000, 6235, 1996, 10294, 3074, 1012, 1996, 7132, 7774, 1997, 1996, 6457, 4974, 1998, 1996, 11754, 6669, 1011, 2805, 16024, 2064, 2202, 2006, 1037, 6428, 2298, 2043, 3491, 1999, 1996, 2751, 5127, 2094, 3926, 1012, 1996, 10294, 3074, 4282, 2008, 2045, 2003, 2053, 2342, 2000, 11245, 2000, 2022, 2657, 1012, 9194, 2000, 15401, 1010, 1996, 21185, 13152, 2015, 1997, 1996, 12909, 3074, 4287, 2058, 2046, 1996, 1996, 10867, 28696, 4588, 6457, 2291, 1012, 1037, 2813, 1011, 5614, 2918, 2007, 2019, 8964, 10101, 4292, 1010, 1996, 12909, 6457, 2089, 2022, 2109, 2296, 2154, 2021, 2097, 2196, 2514, 9410, 1012, 1996, 1049, 1011, 2186, 1996, 10867, 28696, 4588, 11336, 11082, 2017, 3443, 1010, 7661, 4697, 1998, 10938, 2115, 6457, 3325, 1012, 6183, 1996, 7372, 1997, 2640, 1998, 3098, 2039, 2047, 12020, 1999, 6457, 15380, 1010, 1996, 1049, 1011, 2186, 10124, 6553, 5053, 3310, 2000, 2166, 1999, 1037, 2047, 1998, 3167, 3550, 2126, 1012, 1049, 1012, 1041, 1012, 2423, 7861, 5092, 18389, 1996, 2190, 2008, 10124, 2964, 2038, 2000, 3749, 1012, 2004, 2028, 1997, 1996, 2087, 22979, 6407, 2006, 1996, 3006, 1010, 3167, 3989, 1997, 2169, 5723, 2003, 1037, 3722, 3105, 1012, 15262, 24577, 1010, 2800, 1999, 2176, 12321, 1010, 1049, 1012, 1041, 1012, 2423, 2003, 6669, 10897, 2000, 2087, 7198, 10058, 1012, 2196, 12014, 2006, 2115, 6567, 1012, 4427, 2011, 1996, 2103, 21343, 1010, 1996, 7128, 3074, 18058, 1037, 29445, 2640, 11211, 2007, 11813, 15380, 1012, 15594, 3210, 1998, 3722, 3596, 14899, 2362, 2005, 1037, 21185, 5574, 1011, 5026, 1037, 8478, 2047, 2166, 2000, 1037, 3824, 2030, 17459, 3829, 2686, 1012, 3151, 1999, 3267, 1010, 2043, 3491, 1999, 12853, 18546, 1996, 6457, 12342, 2015, 2083, 1037, 2062, 3824, 2422, 1012, 1996, 3819, 13711, 2000, 1037, 4438, 7198, 2686, 1010, 16660, 29315, 8847, 2000, 1037, 2051, 2043, 2166, 2333, 2012, 1037, 12430, 1010, 2062, 9530, 18532, 24759, 8082, 6393, 1012, 6742, 1998, 2358, 8516, 4509, 1010, 7436, 2003, 6669, 10897, 2000, 10058, 2007, 1037, 3824, 5510, 1010, 3228, 1996, 3829, 1037, 2047, 2035, 5397, 1012, 2049, 9792, 1998, 5843, 12509, 4974, 1998, 26404, 5460, 3499, 1037, 3722, 1998, 4621, 2224, 2096, 1996, 4139, 1011, 2041, 12509, 1998, 5047, 2031, 1037, 8903, 6218, 2005, 6082, 8304, 1012, 1037, 3722, 17856, 17905, 1999, 1996, 3300, 18205, 4301, 1997, 1996, 2627, 2096, 3151, 20724, 9909, 1037, 13528, 2514, 2000, 1996, 21877, 10286, 2080, 3074, 1012, 5026, 2055, 2019, 2250, 1997, 27768, 2791, 1010, 21877, 10286, 2080, 5836, 1996, 3819, 13711, 2000, 2019, 2287, 3238, 2686, 1012, 1996, 4403, 3074, 1005, 1055, 4550, 1998, 3722, 4338, 3957, 7050, 2000, 1996, 3819, 2586, 1997, 18753, 3012, 1998, 11718, 1012, 1037, 3824, 3074, 2007, 11754, 3210, 1010, 2009, 2003, 10897, 2000, 2296, 2828, 1997, 4592, 2622, 1012, 2009, 2003, 1037, 27768, 4325, 1010, 1037, 2177, 1997, 3787, 2029, 16142, 6669, 1999, 2651, 1005, 1055, 2412, 1011, 5278, 2554, 1012, 2823, 17839, 2003, 11703, 7416, 6455, 1012, 24209, 13592, 2071, 2025, 8339, 2023, 4145, 2151, 2488, 1012, 12853, 1998, 11552, 1010, 2009, 5836, 2019, 6549, 5783, 2007, 1037, 4225, 3824, 2640, 1012, 2675, 1998, 14291, 1011, 5044, 1010, 2004, 2525, 2623, 2011, 2049, 2171, 1010, 24209, 13592, 9530, 24396, 3997, 1998, 9211, 2000, 1996, 7752, 1998, 1996, 5723, 2004, 1037, 2878, 1012, 1520, 1005, 2422, 2791, 1998, 3997, 1005, 1005, 2024, 1996, 6481, 2008, 4427, 4850, 18319, 21766, 20715, 2640, 2043, 2027, 2580, 2023, 3074, 1012, 2049, 10124, 2664, 18753, 2640, 2003, 4225, 2011, 4550, 1010, 3722, 3210, 2008, 2765, 1999, 1037, 2844, 5107, 4254, 1012, 1996, 2186, 4107, 1037, 2898, 2846, 1997, 7047, 2000, 13225, 2119, 6742, 1998, 12465, 2389, 14714, 1012, 2023, 3824, 6457, 4832, 2004, 1996, 2364, 10191, 1999, 1996, 5723, 1998, 23199, 2015, 2007, 1996, 18433, 1997, 2049, 4338, 1012, 1996, 10124, 2640, 3774, 1997, 1037, 14965, 2389, 5512, 1997, 14291, 2015, 1010, 28667, 23395, 2015, 1998, 2157, 12113, 1012, 4661, 1996, 3151, 12853, 18546, 1998, 3886, 3630, 2595, 29656, 12321, 1010, 1996, 2544, 1999, 4717, 2063, 2304, 9909, 1037, 5509, 1998, 6937, 2298, 2000, 2169, 8875, 1997, 1996, 5943, 3074, 1012, 4550, 3210, 1998, 5744, 9972, 6709, 2023, 2200, 4310, 3074, 1012, 2881, 2011, 1043, 1009, 2640, 2996, 1010, 3252, 18058, 1010, 2007, 2049, 2157, 12113, 1010, 2019, 2801, 1997, 6018, 15401, 1012, 2004, 14965, 2389, 2004, 4623, 1010, 2023, 6457, 2003, 1996, 5760, 3367, 3670, 1997, 3330, 28850, 17330, 2004, 17839, 1012, 2715, 1998, 15514, 1010, 16985, 3654, 2003, 5151, 2007, 5744, 1998, 3621, 18309, 16024, 1012, 1996, 6512, 3594, 1037, 5238, 6260, 15929, 1012, 2035, 3787, 1997, 2023, 3074, 2024, 12882, 1011, 2640, 3688, 1010, 2007, 1037, 6020, 2504, 1999, 3408, 1997, 5814, 4781, 1012, 2369, 1037, 3019, 6337, 1010, 3722, 1998, 2489, 2013, 9987, 1010, 2004, 6827, 2004, 1996, 5783, 2013, 2029, 2009, 3138, 2049, 2171, 1010, 14403, 4107, 2715, 6276, 1011, 3341, 7300, 2008, 2024, 12231, 2135, 2614, 1998, 2298, 2830, 2000, 10660, 5082, 1012, 1996, 18797, 1010, 5744, 1998, 4408, 4338, 1010, 28667, 29313, 2015, 1037, 19613, 7224, 1997, 9396, 1999, 1996, 5723, 1010, 2066, 1037, 4990, 2046, 3267, 1010, 2073, 1996, 4834, 1997, 1996, 2300, 1998, 1996, 17160, 3596, 1010, 5425, 2017, 1998, 11320, 3363, 2017, 5251, 1012, 2019, 2396, 1011, 21933, 3543, 3084, 1996, 2327, 10936, 3074, 2004, 4310, 2004, 2049, 13713, 5044, 16024, 1012, 1996, 6457, 4974, 2838, 2019, 24219, 2002, 18684, 20028, 4338, 1012, 2053, 21707, 6987, 1010, 2053, 11664, 5750, 1024, 1996, 2327, 10936, 3074, 2003, 3819, 1999, 2049, 2715, 1998, 27768, 12321 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2559, 3805, 1024, 2019, 4357, 2007, 2745, 1037, 1012, 9388, 20897, 2050, 2006, 2254, 1015, 1010, 2745, 1037, 1012, 9388, 20897, 2050, 2165, 2436, 2004, 2343, 1998, 5766, 1997, 1996, 8040, 29443, 4523, 2470, 2820, 1012, 2182, 1010, 2002, 8847, 2007, 27857, 21058, 1997, 2739, 1004, 5328, 2055, 7832, 2164, 2010, 4281, 1010, 18402, 1010, 1998, 4432, 2005, 1996, 2925, 1012, 2054, 2419, 2017, 2000, 1996, 8040, 29443, 4523, 2470, 2820, 1029, 3174, 2086, 3283, 1010, 8040, 29443, 4523, 3253, 2033, 1037, 2597, 1012, 1045, 2001, 2012, 1996, 2118, 1997, 4174, 2012, 1996, 2051, 1012, 1045, 2245, 2146, 1998, 2524, 2055, 2009, 1010, 1998, 2787, 1045, 2145, 5632, 1996, 2440, 8674, 1997, 1037, 8552, 2118, 2007, 2116, 5190, 1997, 8324, 2015, 1012, 2074, 2058, 2184, 2086, 3283, 1010, 1045, 2333, 2000, 15384, 8256, 1012, 2012, 8256, 1010, 1045, 2366, 2004, 3242, 1997, 1996, 6370, 2533, 2005, 2274, 2086, 1998, 2179, 1045, 5632, 2877, 1037, 3375, 1998, 5533, 7578, 2177, 1997, 2111, 1012, 1037, 2261, 2335, 2058, 1996, 2086, 1010, 2957, 3393, 18703, 1031, 2280, 2343, 1033, 2052, 2360, 1010, 1523, 2298, 1010, 2065, 2017, 2024, 3201, 2000, 2191, 1037, 2693, 1529, 1524, 1045, 4716, 8040, 29443, 4523, 1037, 2193, 1997, 2335, 1010, 1998, 1045, 1521, 2310, 2467, 12749, 1996, 2173, 1012, 2061, 2043, 2023, 4495, 2234, 2247, 1010, 1045, 2245, 2009, 2001, 1037, 2146, 2915, 2021, 1045, 4162, 1012, 2054, 4654, 17847, 2015, 2017, 2055, 1996, 3105, 2004, 2343, 1029, 1045, 1521, 1049, 7568, 2055, 1996, 4022, 1997, 4083, 2129, 7366, 2573, 1998, 11243, 2008, 3716, 2000, 2966, 3471, 1517, 1998, 2008, 1521, 1055, 2428, 2108, 7568, 2055, 1996, 3260, 1997, 1996, 8040, 29443, 4523, 2470, 2820, 1012, 2500, 2012, 8040, 29443, 4523, 2024, 7568, 2055, 2008, 1010, 2205, 1010, 1998, 2008, 1521, 1055, 2307, 1012, 2017, 1521, 2310, 2042, 2182, 2144, 2251, 1012, 2054, 2024, 2070, 1997, 2115, 2034, 19221, 1997, 1996, 2820, 1029, 1996, 2087, 11434, 2518, 1045, 4342, 2003, 2008, 1010, 1999, 2236, 1010, 1996, 4513, 1998, 3095, 2031, 2019, 6387, 13347, 2000, 2023, 2173, 1012, 1045, 2939, 2046, 10272, 2386, 1996, 2060, 2154, 1998, 1996, 3036, 3457, 2012, 1996, 4624, 1010, 6647, 12170, 20850, 4402, 1010, 1998, 1045, 4930, 2039, 1037, 4512, 1010, 1998, 2009, 2001, 3154, 2002, 14977, 1037, 2843, 1012, 2043, 1996, 4513, 2707, 2000, 2831, 2055, 2054, 2027, 2031, 2042, 2583, 2000, 7523, 2182, 1010, 2009, 1521, 1055, 3154, 2027, 2031, 2019, 14449, 1012, 2008, 2038, 2042, 6748, 1998, 2062, 6387, 2084, 1045, 3517, 1012, 2008, 2003, 2183, 2000, 2393, 2149, 1999, 1996, 2146, 2448, 1012, 2053, 2173, 2003, 3819, 1012, 8040, 29443, 4523, 2038, 2049, 7860, 1010, 2752, 2005, 7620, 1012, 2021, 2065, 2017, 2514, 6118, 2055, 1996, 2173, 2073, 2017, 2147, 1010, 2017, 2024, 5627, 2000, 2393, 1998, 2022, 2112, 1997, 1996, 5576, 1012, 2054, 2024, 1996, 5221, 7860, 2017, 2156, 1029, 2045, 2024, 3361, 15399, 1012, 8040, 29443, 4523, 2003, 1037, 3730, 1011, 2769, 5145, 1012, 2028, 3160, 1045, 2071, 3198, 1999, 2709, 2003, 1010, 1523, 2339, 2079, 4513, 2272, 2000, 8040, 29443, 4523, 1029, 1524, 2027, 2071, 2994, 1999, 1037, 2118, 1998, 1010, 2130, 2007, 2053, 2470, 2490, 1010, 8145, 3157, 2706, 1997, 10300, 2005, 4252, 1012, 2021, 2005, 2008, 1010, 2037, 2420, 2052, 2022, 3714, 2039, 2007, 2035, 7957, 1997, 2118, 10198, 1012, 1045, 2106, 2216, 2005, 2116, 2086, 1012, 2070, 1997, 2216, 2024, 22249, 1010, 2021, 2823, 2027, 2202, 2017, 2185, 2013, 2470, 2043, 2017, 2052, 2738, 4133, 1999, 1037, 6845, 3331, 2000, 2493, 2055, 1037, 3327, 2765, 1012, 2012, 8040, 29443, 4523, 1010, 2017, 2064, 2272, 1999, 2012, 1996, 2927, 1997, 1996, 2154, 1998, 2065, 8307, 4858, 2242, 9223, 2030, 1037, 2502, 7551, 2573, 1010, 2017, 2071, 5247, 2035, 2154, 3241, 2055, 2009, 1010, 3331, 2055, 2009, 1010, 3015, 2055, 2009, 1529, 2008, 2196, 6433, 1999, 1037, 2118, 4044, 1012, 4513, 2272, 2182, 2138, 2027, 2064, 2079, 16655, 12273, 29440, 2098, 2470, 1012, 2005, 2008, 1010, 2045, 1521, 1055, 1996, 3891, 1997, 6274, 2769, 2000, 4636, 1996, 2470, 2017, 2215, 2000, 2079, 1012, 4513, 2036, 2272, 1998, 2994, 2138, 1997, 1996, 6502, 2182, 1517, 1996, 2200, 2190, 1999, 3941, 1012, 2061, 2057, 2342, 2000, 9699, 4219, 2000, 2562, 2008, 6502, 2012, 1996, 3284, 2504, 1012, 2057, 2342, 2000, 9699, 4219, 2000, 13024, 1996, 2279, 4245, 1997, 2047, 4513, 1012, 2057, 2342, 2000, 2031, 4219, 2000, 2562, 2256, 4513, 2040, 2097, 2131, 4107, 2013, 2060, 3182, 1012, 2096, 2045, 2024, 2367, 3314, 1999, 3516, 1010, 1999, 2474, 8183, 4571, 1996, 3361, 15399, 2024, 3278, 1012, 2057, 2031, 2018, 2146, 1011, 2051, 6550, 2007, 1523, 2502, 6887, 27292, 2050, 1524, 2008, 2024, 2025, 2183, 2000, 2022, 5567, 1999, 1996, 2783, 4044, 1012, 3516, 2003, 2145, 1999, 1996, 3930, 4403, 1010, 2145, 2007, 2769, 2013, 1996, 2110, 1997, 3516, 1010, 2061, 2045, 2003, 4064, 2686, 2138, 2057, 2024, 2145, 14357, 6958, 14766, 1012, 2057, 1521, 2128, 2006, 2650, 2000, 3113, 1996, 3516, 6847, 27373, 1012, 2035, 1997, 2023, 26077, 2015, 2091, 2000, 1996, 2755, 2008, 1996, 5221, 3277, 5307, 2149, 2003, 2129, 2000, 2693, 2830, 1999, 1037, 3663, 2073, 1996, 2976, 2231, 2097, 2025, 2022, 1996, 4256, 2009, 2038, 2042, 1999, 1996, 2627, 1012, 2008, 2097, 2404, 2130, 2062, 3778, 2006, 2149, 2000, 5333, 4722, 5029, 1012, 2057, 1521, 2128, 2559, 2012, 1037, 5257, 1997, 29291, 1998, 1037, 2709, 2006, 2256, 5211, 1999, 7789, 3200, 1031, 12997, 1033, 1012, 12997, 2003, 2183, 2000, 13276, 2039, 1012, 2025, 2383, 1037, 2034, 1011, 2916, 3820, 2004, 2057, 2031, 2018, 1999, 1996, 2627, 2097, 2191, 2149, 2298, 8736, 2046, 1996, 2925, 2005, 3361, 5770, 2013, 2256, 12997, 1010, 2021, 2057, 2097, 2219, 2035, 1997, 2054, 2057, 7523, 2182, 1998, 2008, 2323, 2022, 1037, 3622, 5770, 2000, 2149, 1012, 2071, 2017, 2831, 1037, 2210, 2062, 2055, 29291, 1029, 2339, 2323, 2111, 2507, 2182, 6431, 6974, 1029, 2111, 2507, 2138, 2045, 2003, 2242, 2055, 2054, 2057, 2024, 2725, 2008, 9326, 1037, 13924, 1999, 2068, 1012, 2169, 1997, 2149, 2064, 23114, 2125, 3008, 1010, 9504, 1010, 5916, 2015, 1010, 27328, 1010, 12334, 2040, 4265, 2013, 2070, 4295, 1012, 2009, 1521, 1055, 2074, 13418, 1012, 2043, 4295, 9326, 1010, 2057, 2411, 2066, 2000, 2079, 2242, 2055, 2009, 1012, 2009, 1521, 1055, 2028, 1997, 1996, 2691, 5919, 1997, 2797, 3228, 2182, 1012, 17843, 2963, 2055, 2054, 2057, 1521, 2128, 2725, 1998, 2215, 2000, 2490, 2009, 1012, 1997, 2607, 1010, 2057, 2031, 2000, 2425, 2068, 2054, 2057, 1521, 2128, 2725, 1010, 1998, 1045, 1521, 1049, 5938, 2070, 1997, 2026, 2051, 2725, 2008, 1012, 2823, 2054, 9326, 1037, 13924, 2003, 2019, 3265, 2027, 3113, 1010, 2360, 1037, 4513, 2266, 2551, 2006, 1037, 3327, 4295, 1012, 2043, 2027, 2191, 1037, 6691, 1010, 2027, 2031, 1996, 4495, 2000, 2156, 2008, 2711, 2022, 3144, 1010, 2551, 2006, 2242, 2027, 2903, 1999, 2030, 1037, 4295, 2027, 2215, 2000, 2156, 8342, 2041, 1012, 2061, 2009, 1521, 1055, 2411, 6171, 3167, 1012, 2008, 1521, 1055, 2339, 29291, 2003, 2035, 2055, 6550, 1517, 5962, 2000, 2054, 4022, 17843, 2424, 5875, 1998, 2059, 4760, 2068, 2057, 2031, 1996, 4022, 2000, 2191, 1037, 2350, 5456, 2008, 2027, 2064, 2022, 1037, 2112, 1997, 1012, 3475, 1521, 1056, 3937, 2470, 5399, 1997, 1037, 3313, 1011, 13011, 4690, 1517, 2017, 1521, 2128, 2086, 2185, 2013, 2966, 2135, 4162, 2470, 1010, 2348, 1996, 8050, 5456, 2089, 4821, 2031, 1037, 3469, 4254, 1029, 1045, 2941, 2123, 1521, 1056, 5993, 2007, 2008, 1012, 2292, 1521, 1055, 2224, 1996, 3522, 2742, 1997, 5076, 5163, 1521, 1055, 11937, 7011, 4328, 10521, 1031, 2085, 4844, 1999, 2885, 2005, 1996, 3949, 1997, 6904, 4328, 6632, 2140, 6864, 27710, 26572, 2638, 10976, 20166, 1033, 1012, 2012, 1996, 2540, 1997, 2009, 1010, 1045, 1521, 1040, 2360, 5076, 2763, 2038, 2048, 25289, 1012, 2028, 2003, 2000, 2272, 2039, 2007, 1037, 4319, 2008, 7126, 7438, 4295, 1012, 2002, 1521, 1055, 2074, 2589, 2008, 1012, 2021, 1996, 2060, 6896, 2003, 2005, 1996, 2671, 2993, 1012, 2061, 5076, 1521, 1055, 4439, 2486, 2001, 4824, 2129, 8171, 10671, 1010, 1998, 2043, 2027, 28616, 10371, 2054, 6433, 1517, 2200, 3937, 1010, 8050, 2147, 1010, 2021, 2036, 4072, 2000, 2191, 1037, 4319, 1012, 3841, 2135, 9153, 29656, 2003, 1996, 2069, 3949, 2005, 11320, 12207, 1010, 1037, 2200, 8552, 4295, 1012, 2957, 3393, 18703, 1521, 1055, 22931, 2024, 1996, 2974, 2008, 4319, 2001, 2241, 2006, 1012, 2045, 2001, 14910, 7895, 29656, 2077, 2008, 1012, 14910, 7895, 29656, 2097, 2574, 2022, 1996, 2922, 4855, 4319, 1999, 1996, 2088, 1012, 2000, 2033, 1010, 8040, 29443, 4523, 5836, 1996, 2200, 2190, 1999, 8050, 2470, 11211, 2007, 2559, 15436, 2005, 1996, 5449, 2389, 3538, 1010, 2029, 3138, 8050, 5456, 1998, 4332, 2009, 2046, 5850, 1012, 2043, 1045, 2001, 2012, 4174, 1010, 1999, 1996, 2966, 2082, 1521, 1055, 6897, 6370, 2533, 1010, 1996, 9349, 7066, 2052, 2360, 1010, 1523, 2017, 1521, 2128, 2061, 2521, 2185, 2013, 1031, 1996, 9349, 1033, 1012, 1524, 2009, 2596, 2062, 2066, 2008, 2059, 1010, 2138, 2017, 2081, 1037, 8050, 5456, 1010, 2017, 2405, 2009, 1010, 1998, 2008, 2001, 2062, 2030, 2625, 1996, 2203, 1997, 2009, 1012, 2021, 2012, 8040, 29443, 4523, 1010, 2009, 1521, 1055, 2025, 2074, 2055, 3937, 5456, 1010, 2021, 2036, 2054, 2064, 2017, 2064, 2079, 2007, 2009, 1012, 2008, 1521, 1055, 2367, 1012, 1045, 2425, 17843, 2054, 2256, 8050, 15636, 2064, 2079, 1012, 1045, 2425, 2068, 2057, 2024, 2055, 5456, 1517, 2008, 1521, 1055, 2054, 2057, 2079, 1517, 2021, 2057, 2123, 1521, 1056, 2292, 2009, 2717, 2045, 1010, 1998, 2057, 1521, 2310, 2288, 4973, 2000, 2265, 2009, 1012, 2182, 1010, 3937, 2470, 1998, 4022, 5097, 2175, 2192, 1011, 1999, 1011, 2192, 1012, 2115, 2219, 2147, 2038, 2958, 2094, 8050, 5456, 1998, 2966, 4646, 1012, 2057, 2318, 1037, 2194, 1012, 2026, 2269, 2056, 1045, 2633, 2442, 2031, 2589, 2242, 2590, 999, 2057, 2985, 2086, 2667, 2000, 3305, 1996, 9487, 4531, 2008, 1037, 13922, 2107, 2004, 9152, 12412, 15772, 1010, 2023, 11704, 13922, 1010, 2003, 21575, 2668, 3778, 1998, 2003, 2920, 1999, 4083, 1010, 1999, 3638, 1012, 2673, 1999, 5549, 8156, 1025, 1037, 3221, 1997, 4511, 2003, 2204, 1010, 2184, 2003, 2763, 2919, 1012, 2009, 1521, 1055, 1996, 2168, 2007, 1037, 13922, 2066, 9152, 12412, 15772, 1012, 7366, 2038, 4342, 2129, 2000, 5047, 2009, 1012, 2009, 1521, 1055, 5186, 11704, 1010, 2664, 2057, 1521, 2128, 2437, 2009, 1998, 2478, 2009, 1999, 2070, 2590, 19389, 6194, 1012, 2009, 2074, 4332, 2041, 2057, 2123, 1521, 1056, 2191, 2200, 2172, 1997, 2009, 1012, 2058, 1996, 2086, 1010, 2057, 2356, 3980, 2055, 2129, 7366, 16024, 2107, 1037, 11704, 13922, 2000, 4287, 2041, 2122, 2590, 19389, 6194, 1012, 2057, 2059, 2318, 2000, 3198, 2129, 7366, 4136, 1996, 4489, 2090, 9152, 12412, 15772, 1010, 6351, 18847, 19491, 1010, 1998, 7722, 1012, 7366, 2038, 2000, 2298, 2012, 2035, 2093, 1998, 2425, 1996, 4489, 2013, 1037, 5072, 7339, 1010, 1998, 2009, 1521, 1055, 2025, 2061, 3733, 1012, 1999, 23218, 2008, 2041, 1010, 2057, 3651, 2008, 2057, 2071, 2224, 2256, 8050, 4824, 2000, 8116, 9152, 12412, 15772, 2030, 6351, 18847, 19491, 2030, 7722, 2000, 3327, 14095, 1010, 1998, 2045, 2024, 2204, 1010, 6742, 4436, 2005, 5782, 2000, 2079, 2035, 2093, 1012, 2061, 2057, 2626, 2070, 13979, 1010, 1998, 2045, 1521, 1055, 1037, 2210, 2194, 1031, 18168, 27678, 2595, 1033, 2008, 1521, 1055, 4082, 2157, 2085, 1999, 2624, 3799, 1012, 11504, 1010, 2009, 2097, 2022, 3144, 1012, 2129, 2106, 2017, 2131, 4699, 1999, 2671, 1999, 1996, 2034, 2173, 1029, 1045, 2031, 1037, 2385, 1011, 2095, 2214, 1012, 1045, 3427, 2032, 2043, 2002, 2001, 1037, 3336, 1012, 2296, 4845, 2003, 1037, 7155, 1012, 2027, 2024, 2035, 2667, 2000, 3275, 2041, 1996, 2088, 1517, 3251, 2027, 2024, 4688, 2006, 1996, 2723, 1998, 1059, 3270, 23177, 2012, 2242, 2030, 2667, 2000, 3275, 2041, 2073, 1996, 3608, 2003, 2183, 2000, 2175, 2043, 2009, 9372, 2408, 1996, 2723, 1012, 1045, 2179, 2009, 5875, 2000, 3422, 2032, 1012, 1045, 2245, 2055, 2870, 1998, 2013, 2026, 5700, 5758, 1010, 1045, 2467, 2359, 2000, 2113, 2129, 2477, 2147, 1012, 2021, 1996, 4937, 20766, 6774, 2617, 2001, 2255, 1018, 1010, 3890, 1010, 2043, 1045, 2001, 2416, 2086, 2214, 1998, 1996, 15269, 3390, 11867, 4904, 8238, 1012, 1045, 2001, 2416, 1010, 2061, 1045, 2001, 2205, 2402, 2000, 2022, 4452, 1012, 2023, 2001, 1999, 29530, 2047, 2259, 1012, 2009, 2001, 3492, 3147, 2004, 1045, 3342, 2009, 1010, 2019, 2255, 2305, 1010, 1998, 1045, 2404, 2006, 1037, 3082, 6598, 1998, 2253, 2041, 1998, 2768, 2006, 1996, 2392, 10168, 1997, 1996, 2210, 2160, 2057, 2973, 1999, 1998 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2238, 2656, 1010, 2263, 3425, 8040, 22786, 15187, 2041, 10768, 7811, 3282, 2916, 1010, 2021, 2006, 2054, 3978, 3599, 1029, 2182, 2024, 4520, 1997, 16614, 2013, 1996, 3484, 5448, 1999, 25038, 2008, 1045, 2031, 1037, 2524, 2051, 5815, 2039, 1024, 2057, 2707, 3568, 2007, 1037, 2844, 3653, 17421, 16790, 2008, 1996, 2117, 7450, 2157, 2003, 17747, 14258, 1998, 7460, 2000, 2035, 4841, 1012, 1006, 7540, 6728, 1012, 2012, 2184, 1010, 7902, 2794, 1012, 1007, 2009, 2001, 24250, 1996, 4824, 1999, 1996, 2695, 1011, 2942, 2162, 3519, 2008, 1996, 2117, 7450, 5123, 2019, 3265, 2157, 2000, 2224, 2608, 2005, 2969, 1011, 3639, 1012, 1006, 7540, 6728, 1012, 2012, 4008, 1010, 7902, 2794, 1012, 1007, 2004, 1996, 20563, 9285, 3041, 1999, 2023, 5448, 10580, 1010, 1996, 16112, 2157, 1997, 2969, 1011, 3639, 2038, 2042, 2430, 2000, 1996, 2117, 7450, 2157, 1012, 1996, 1031, 5887, 1033, 28497, 7221, 8310, 2000, 1037, 13574, 1997, 2019, 2972, 2465, 1997, 1523, 2608, 1524, 2008, 2003, 24783, 4217, 2011, 2137, 2554, 2005, 2008, 26410, 3800, 1012, 1996, 13574, 8908, 1010, 9308, 1010, 2000, 1996, 2188, 1010, 2073, 1996, 2342, 2005, 3639, 1997, 2969, 1010, 2155, 1010, 1998, 3200, 2003, 2087, 11325, 1012, 2104, 2151, 1997, 1996, 4781, 1997, 17423, 2008, 2057, 2031, 4162, 2000, 4372, 17897, 9250, 6543, 2916, 1010, 21029, 2013, 1996, 2188, 1523, 1996, 2087, 6871, 23646, 1999, 1996, 3842, 2000, 1520, 2562, 1521, 1998, 2224, 2005, 3860, 1997, 2028, 1521, 1055, 2188, 1998, 2155, 1010, 1524, 4700, 2620, 1042, 1012, 7605, 1010, 2012, 4278, 1010, 2052, 8246, 6543, 20327, 1012, 1006, 7540, 6728, 1012, 2012, 5179, 1011, 5401, 1010, 7902, 2794, 1012, 1007, 1037, 12368, 2391, 2055, 1996, 4277, 2008, 3425, 7987, 20211, 17248, 1024, 2035, 1997, 2068, 14248, 1996, 11889, 1006, 2030, 10578, 1007, 1997, 4409, 2007, 1037, 2235, 2986, 1998, 2005, 21156, 5397, 1997, 1996, 5195, 1006, 2030, 1999, 1037, 2261, 3572, 1037, 2200, 4766, 2994, 1999, 1996, 2334, 7173, 1007, 1010, 2025, 2007, 3278, 4735, 12408, 1012, 1012, 1012, 1012, 1031, 1059, 1033, 1041, 2079, 2025, 2228, 2008, 1037, 2375, 16625, 1037, 1019, 1011, 11895, 13112, 2986, 1998, 2005, 21156, 5397, 1997, 1996, 3282, 2052, 2031, 8729, 1037, 2711, 1999, 1996, 4889, 3690, 2013, 2478, 1037, 3282, 2000, 4047, 2370, 2030, 2010, 2155, 2013, 4808, 1010, 2030, 2008, 2065, 2002, 2106, 2061, 1996, 2375, 2052, 2022, 16348, 2114, 2032, 1012, 1996, 2212, 2375, 1010, 2011, 5688, 1010, 2521, 2013, 16625, 1037, 3576, 2986, 1010, 17016, 4480, 2007, 1037, 2095, 1999, 3827, 1006, 2274, 2086, 2005, 1037, 2117, 11371, 1007, 2005, 2130, 11381, 1037, 3282, 1999, 1996, 2034, 2173, 1012, 1006, 7540, 6728, 1012, 2012, 6079, 1011, 5786, 1010, 7902, 2794, 1012, 1007, 7680, 6562, 2039, 1010, 2009, 2052, 4025, 2008, 1996, 3484, 4324, 2008, 1010, 27081, 2000, 1996, 2117, 7450, 1010, 1000, 2035, 4841, 1000, 2031, 2019, 1000, 3265, 2157, 2000, 2224, 2608, 2005, 2969, 1011, 3639, 1012, 1000, 1998, 1010, 1996, 2117, 7450, 2052, 2022, 2087, 18636, 3973, 9099, 17603, 29417, 2043, 2023, 2157, 2003, 8949, 7775, 1999, 1996, 1000, 2188, 1010, 2073, 1996, 2342, 2005, 3639, 1997, 2969, 1010, 2155, 1010, 1998, 3200, 2003, 2087, 11325, 1000, 2083, 1996, 5081, 1997, 2086, 1999, 3827, 9350, 10222, 2084, 2074, 1037, 3576, 2986, 1012, 2004, 3180, 8141, 2113, 1010, 1045, 2228, 2035, 2122, 23617, 2015, 5587, 2039, 2000, 2437, 6543, 2135, 21068, 1996, 5081, 1997, 5729, 11746, 2006, 10768, 7811, 2015, 1999, 6664, 1997, 13780, 1012, 2044, 2035, 1010, 10768, 7811, 2015, 2024, 4841, 2007, 1037, 2342, 2000, 4047, 3209, 1998, 2037, 2945, 2083, 4363, 4409, 1999, 2037, 2188, 1012, 1998, 2664, 1010, 2035, 10768, 7811, 2015, 1006, 2130, 2512, 1011, 6355, 3924, 2066, 4572, 19533, 1998, 9246, 5954, 1007, 2227, 1996, 5081, 1997, 2184, 2086, 1999, 2976, 3827, 2005, 2074, 18840, 1037, 23646, 1012, 6600, 1010, 1996, 3484, 5448, 7782, 2135, 1998, 13852, 2135, 19514, 2008, 1000, 2498, 1999, 2256, 5448, 2323, 2022, 2579, 2000, 3459, 4797, 2006, 2146, 24911, 13574, 2015, 2006, 1996, 6664, 1997, 13780, 2011, 10768, 7811, 2015, 1998, 1996, 10597, 5665, 1012, 1000, 1006, 7540, 6728, 1012, 2012, 5139, 1012, 1007, 2428, 1029, 2129, 2064, 2008, 1006, 4895, 29427, 7810, 1998, 4895, 6342, 9397, 15613, 1007, 4487, 25572, 2022, 19942, 2007, 2035, 2008, 2038, 2042, 2056, 2077, 1029, 2000, 2010, 4923, 1010, 3425, 8799, 7919, 19514, 1999, 2023, 6123, 2008, 10768, 7811, 2015, 2024, 2025, 4937, 27203, 2135, 12421, 2013, 28428, 2034, 1998, 2959, 7450, 2916, 1998, 2947, 1996, 16686, 21165, 2100, 1000, 4107, 2053, 2126, 2000, 25546, 4697, 2049, 19326, 4013, 3630, 17457, 8163, 1012, 1000, 2051, 1998, 15382, 2097, 2425, 2065, 9583, 2030, 4487, 25572, 2203, 2039, 21949, 1996, 4646, 1997, 1996, 2117, 7450, 1999, 2925, 3572, 1012, 7928, 8788, 1010, 2144, 2051, 10047, 4168, 24610, 2389, 1010, 12290, 2031, 2439, 3056, 2916, 1012, 2009, 1005, 1055, 2008, 3722, 1012, 1996, 2157, 2000, 3789, 2003, 9062, 1010, 1998, 2009, 2064, 2022, 2579, 2185, 1012, 6866, 2011, 1024, 2976, 2923, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 2656, 1024, 5641, 2572, 2061, 2976, 2923, 1010, 2003, 2009, 2115, 2597, 2008, 1037, 2110, 2064, 2619, 2040, 27791, 2566, 9103, 2854, 2013, 12560, 2010, 2030, 2014, 4676, 1029, 2057, 1005, 2310, 2035, 3191, 1996, 13012, 2618, 2391, 2008, 12290, 2089, 2439, 3056, 2916, 1012, 1996, 3160, 4150, 1010, 2059, 1010, 3251, 2027, 2089, 12098, 16313, 19848, 6588, 4558, 2916, 2008, 2031, 2053, 4434, 2007, 2054, 2027, 1005, 2310, 2589, 1012, 6866, 2011, 1024, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 4029, 1024, 2538, 2572, 2292, 2033, 3046, 2153, 1024, 2061, 2976, 2923, 1010, 2003, 2009, 2115, 2597, 2008, 1037, 2110, 2064, 7221, 2619, 2040, 27791, 2566, 9103, 2854, 2013, 12560, 2010, 2030, 2014, 4676, 1029, 2057, 1005, 2310, 2035, 3191, 1996, 13012, 2618, 2391, 2008, 12290, 2089, 4558, 3056, 2916, 1012, 1996, 3160, 4150, 3251, 2027, 2089, 12098, 16313, 19848, 6588, 4558, 2916, 2008, 2031, 2053, 4434, 2007, 2054, 2027, 1005, 2310, 2589, 1012, 6866, 2011, 1024, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 4229, 1024, 6185, 2572, 10768, 7811, 2015, 2036, 9279, 2037, 2916, 2000, 2022, 2489, 2013, 2383, 3629, 4284, 2098, 2588, 2068, 1999, 3521, 7292, 2302, 2037, 9619, 1010, 1998, 1999, 12498, 1010, 3272, 2004, 3024, 2011, 2375, 1010, 2104, 1996, 2353, 7450, 1025, 2037, 2916, 2000, 1996, 2349, 2832, 1997, 2375, 1010, 1998, 4071, 2013, 14770, 2969, 1011, 4297, 20026, 12758, 1010, 2104, 1996, 3587, 7450, 1025, 2037, 2916, 2000, 2031, 1996, 5375, 1997, 9517, 1010, 2000, 14323, 1996, 9390, 2114, 2068, 1010, 1998, 2000, 2031, 2037, 6580, 1999, 1037, 4735, 2553, 4340, 2011, 1037, 6467, 1010, 2104, 1996, 4369, 7450, 1025, 2037, 2157, 2000, 1037, 3979, 2011, 6467, 1999, 2976, 2457, 1999, 2019, 2895, 2012, 2691, 2375, 1010, 2073, 1996, 3815, 1999, 6704, 23651, 1002, 2322, 1010, 2104, 1996, 5066, 7450, 1025, 1998, 2037, 2916, 2000, 2022, 2489, 2013, 11664, 21892, 1010, 2013, 10311, 1998, 5866, 29115, 1010, 1998, 2013, 2383, 2000, 2695, 11664, 15358, 1010, 2104, 1996, 5964, 7450, 1012, 1996, 15276, 7450, 25822, 2163, 2013, 11113, 14615, 4726, 1996, 14310, 1998, 10047, 23041, 6447, 1997, 4480, 1997, 1996, 2142, 2163, 1012, 25038, 2515, 2025, 4025, 1999, 2151, 2126, 2000, 2735, 2588, 9068, 1010, 1998, 2947, 2515, 2025, 2191, 13574, 2825, 2065, 2028, 2003, 2019, 7344, 1012, 3568, 1010, 2054, 2003, 2045, 2055, 1996, 2117, 7450, 1010, 2030, 2055, 2049, 2157, 2000, 10295, 4255, 2028, 2453, 16286, 2224, 1999, 2969, 1011, 3639, 1006, 2029, 3849, 2000, 2022, 1996, 3277, 1996, 2457, 2052, 2066, 2149, 2000, 3579, 2006, 1999, 25038, 1007, 1010, 2008, 23329, 2015, 10768, 7811, 2015, 2013, 1996, 3860, 1997, 2023, 9347, 1997, 1996, 3021, 1997, 2916, 1029, 6866, 2011, 1024, 6754, 3557, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 3429, 1024, 5354, 2572, 2045, 2024, 3056, 2916, 2008, 3685, 2022, 2579, 2185, 1012, 1996, 1000, 16112, 2157, 1997, 2969, 1011, 3639, 1000, 1999, 2028, 1005, 1055, 2188, 2089, 2022, 2028, 1997, 2068, 1012, 2045, 2024, 2048, 3584, 3314, 1013, 2967, 1999, 2023, 5981, 1012, 2034, 1010, 2045, 2024, 6355, 10768, 7811, 2015, 1998, 2512, 1011, 6355, 24648, 1006, 1998, 2011, 2512, 1011, 6355, 1010, 1045, 2812, 5621, 2512, 1011, 6355, 2066, 2566, 9103, 2854, 1010, 25297, 6202, 1010, 4171, 11371, 1010, 4483, 13302, 1010, 14925, 2102, 1012, 1007, 2117, 1010, 2045, 2003, 1000, 2503, 1996, 2188, 1000, 6431, 1000, 2648, 1996, 2188, 1000, 1012, 2028, 2071, 3861, 1037, 8370, 2007, 2048, 8902, 12942, 2015, 1998, 2048, 10281, 1010, 1998, 1999, 2169, 3482, 10775, 1996, 16406, 1997, 2635, 2185, 1996, 2157, 1012, 1999, 2026, 5448, 1010, 2512, 1011, 6355, 10768, 7811, 2015, 1010, 2012, 1037, 6263, 1010, 2442, 9279, 2037, 16112, 2157, 2000, 2969, 3639, 1999, 1996, 2188, 1012, 2041, 17417, 3207, 1997, 1996, 2188, 2003, 2025, 2004, 3056, 1010, 1998, 2023, 2003, 2073, 1996, 1000, 3115, 1997, 17423, 1000, 2003, 2590, 1012, 6355, 10768, 7811, 2015, 2323, 2036, 5441, 2037, 16112, 2157, 2000, 2969, 3639, 1999, 1996, 2188, 1012, 2174, 1010, 10047, 2080, 1010, 2027, 2064, 6065, 2009, 2648, 1997, 1996, 2188, 1010, 2073, 1996, 2157, 2003, 2025, 1000, 2087, 16222, 10421, 1012, 1000, 6866, 2011, 1024, 2139, 3501, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 4700, 1024, 5840, 2572, 2027, 2106, 2025, 2224, 2653, 1000, 2005, 2742, 1000, 2030, 1000, 2107, 2004, 1000, 10768, 7811, 2015, 2030, 10597, 5665, 1012, 1996, 3484, 1999, 8040, 4140, 2271, 2109, 3154, 2653, 2006, 3183, 2089, 2022, 7775, 1012, 21360, 6528, 4645, 3849, 2000, 2022, 1999, 15333, 9331, 8551, 2100, 1010, 2004, 2092, 2004, 1996, 2662, 1000, 9200, 3282, 1000, 7221, 2015, 1012, 28800, 1997, 13202, 5918, 2005, 13131, 1013, 18840, 1037, 23646, 2024, 2036, 2041, 1996, 2341, 1012, 6866, 2011, 1024, 3505, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 2753, 1024, 2676, 2572, 1045, 4687, 2065, 2057, 2024, 8660, 2000, 15306, 1012, 2106, 8040, 22786, 1006, 1999, 2054, 3849, 2000, 3815, 2000, 4487, 25572, 1007, 18921, 20464, 9232, 1996, 6061, 2008, 2070, 23646, 9259, 2006, 10768, 7811, 2015, 2024, 20454, 1006, 3391, 2445, 1996, 17975, 2006, 2969, 1011, 3639, 1007, 1029, 3383, 2002, 2069, 2965, 2027, 2024, 2025, 2025, 9352, 29205, 1012, 1012, 1012, 2045, 2089, 2022, 2070, 3389, 4576, 2000, 5478, 1996, 7349, 2015, 2000, 19274, 1037, 1000, 9608, 6922, 1000, 2000, 10768, 7811, 23646, 7221, 2015, 1012, 1006, 2005, 6013, 1010, 4526, 1037, 9608, 4646, 2832, 2005, 2512, 1011, 6355, 19591, 2000, 12452, 1996, 2157, 1010, 5128, 2051, 6537, 2006, 1996, 7221, 1010, 2030, 9034, 1996, 2231, 2000, 6912, 9608, 1998, 2512, 1011, 15275, 19258, 1999, 10561, 3251, 1037, 3056, 7979, 10768, 7811, 2323, 2022, 3039, 2000, 10295, 1037, 23646, 1007, 1012, 2107, 9608, 9259, 1010, 10047, 6806, 1010, 2052, 2022, 2062, 9608, 2084, 2116, 9259, 2872, 2006, 7979, 3348, 19591, 1012, 1045, 2052, 2025, 18921, 20464, 9232, 1996, 6061, 1997, 2619, 7979, 1997, 1037, 3576, 2512, 1011, 6355, 24648, 5109, 3283, 5147, 10368, 1996, 7221, 1012, 1006, 3383, 2002, 2071, 2022, 2019, 4728, 11139, 5794, 4667, 6926, 1010, 2031, 1037, 2155, 1997, 2176, 1010, 1998, 2444, 1999, 1037, 4795, 5101, 2205, 1007, 1012, 6866, 2011, 1024, 7150, 1064, 12022, 2656, 1010, 2263, 2260, 1024, 4002, 1024, 4464, 7610, 2241, 2006, 2019, 3988, 3752, 1997, 1996, 3484, 5448, 1010, 1996, 2613, 1000, 25038, 4119, 1000, 3658, 1999, 10368, 1037, 3715, 2104, 2324, 15529, 6227, 2549, 1006, 1039, 1007, 1006, 1015, 1007, 1006, 1037, 1007, 1006, 1045, 1007, 1012, 2339, 2323, 2619, 1006, 2040, 2003, 2025, 4728, 1037, 10890, 2711, 1007, 2920, 1999, 1037, 4319, 9714, 2227, 1037, 3584, 1019, 2095, 10915, 6263, 2005, 28428, 2010, 8050, 2157, 2000, 2969, 3639, 1029, 6866, 2011, 1024, 2019, 2239, 1012, 2375, 7805, 1064, 12022, 2656, 1010, 2263, 2260, 1024, 2324, 1024, 2871, 7610, 1996, 2110, 2003, 4709, 2000, 6728, 3170, 2008, 2619, 2040, 27791, 1037, 24648, 2003, 2062, 3497, 2000, 2224, 1996, 5195, 2005, 6206, 5682, 2084, 2005, 1006, 26410, 1007, 2969, 1011, 3639, 5682, 1012, 6866, 2011, 1024, 3889, 1064, 12022, 2656, 1010, 2263, 2260, 1024, 2539, 1024, 2403, 7610, 3505, 1011, 2106, 2017, 2941, 3191, 1996, 2457, 1005, 1055, 5448, 1029, 8040, 22786, 4919, 2163, 2008, 6867, 2024, 3039, 2000, 5478, 1037, 6105, 2005, 1996, 5309, 2030, 6664, 1997, 1037, 3282, 2004, 2146, 2004, 2027, 2024, 2025, 2108, 6380, 2005, 1000, 15275, 1998, 6178, 7277, 6313, 1000, 4436, 1012, 1998, 2008, 2001, 2025, 4487, 25572, 1010, 2021, 2612, 2009, 2001, 2112, 1997, 1996, 3173, 1006, 2008, 5887, 2052, 2022, 3223, 2000, 3946, 2720, 1012, 25038, 1037, 6105 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 1996, 24774, 1011, 6381, 1011, 11721, 3436, 6028, 2064, 2022, 4162, 2000, 1996, 3945, 2005, 3117, 3558, 13352, 2012, 2659, 7715, 2138, 1997, 2049, 2898, 2491, 20470, 15148, 1997, 1996, 3715, 6839, 4304, 1012, 24774, 1011, 6381, 1011, 4796, 2094, 2492, 1011, 3466, 9099, 20483, 2869, 2024, 2411, 13072, 2588, 11520, 1010, 2174, 1010, 2138, 1997, 1996, 2312, 4489, 2090, 1996, 9829, 4935, 21374, 1997, 7708, 24774, 26820, 1998, 5024, 4539, 4475, 1012, 1999, 2023, 3259, 2057, 3073, 1037, 6742, 6028, 2005, 4292, 2039, 24774, 1011, 6381, 1011, 4796, 2094, 2492, 1011, 3466, 9099, 20483, 2869, 2005, 2659, 1011, 4860, 11702, 1012, 2009, 4473, 6540, 11702, 1998, 13416, 1996, 4816, 1999, 23393, 23924, 20175, 2100, 2011, 8161, 1996, 18330, 10178, 7013, 1999, 7708, 24774, 6381, 1012, 1005, 3166, 1024, 1011, 8038, 2863, 16918, 27006, 4430, 5178, 1011, 10930, 16867, 21871, 8067, 1011, 7632, 13238, 14228, 2202, 3148, 1011, 10930, 6182, 22204, 27006, 6761, 1011, 13843, 16867, 10556, 3351, 4648, 1011, 26882, 10556, 11872, 2850, 24751, 1024, 1011, 1005, 3968, 21593, 3388, 6279, 28065, 1012, 12170, 2497, 1005, 2516, 1024, 1005, 24774, 1011, 6381, 1011, 11721, 3436, 16437, 2005, 6540, 11702, 1998, 4359, 4816, 1999, 23393, 23924, 20175, 2100, 2012, 2659, 7715, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 4646, 1997, 1996, 24774, 1011, 6381, 1011, 11721, 3436, 6028, 2000, 2659, 1011, 4860, 5584, 2038, 6296, 6196, 3086, 2138, 2009, 2064, 2491, 1996, 3715, 6839, 4304, 2058, 2019, 5186, 2898, 2846, 1012, 1031, 1030, 20377, 16576, 1033, 2023, 6028, 3594, 2019, 24774, 6381, 1006, 7554, 5474, 1999, 1996, 6381, 4403, 2012, 2282, 4860, 1007, 2004, 1996, 4796, 3280, 2571, 22601, 1999, 2492, 1011, 3466, 9099, 20483, 2869, 1999, 2029, 1037, 4539, 3430, 4490, 2004, 1037, 3149, 1997, 3715, 11363, 1012, 1999, 2023, 3751, 3313, 6741, 9099, 20483, 2099, 1006, 3968, 7096, 1007, 1010, 1996, 2312, 6178, 6305, 25451, 3401, 1997, 1996, 3751, 3313, 6741, 2012, 1996, 3302, 1997, 1996, 4539, 3430, 4473, 1996, 3149, 2000, 2031, 1037, 2312, 6693, 1997, 3715, 11363, 2006, 1996, 2344, 1997, 1002, 2184, 1034, 1063, 2410, 1065, 1011, 2184, 1034, 1063, 2403, 1065, 1002, 4642, 1002, 1034, 1063, 1011, 1016, 1065, 1002, 1012, 2130, 2043, 1996, 3968, 7096, 2003, 12981, 2000, 2917, 1996, 12809, 2391, 1997, 1996, 24774, 6381, 1010, 1996, 3751, 3313, 6741, 1998, 1996, 4525, 3715, 6839, 4304, 2024, 6560, 1012, 3568, 1010, 2028, 2064, 5468, 1996, 2659, 1011, 4860, 4816, 5144, 1997, 1996, 7099, 2007, 1037, 3715, 6839, 4304, 4758, 1999, 1037, 2898, 2846, 1012, 3751, 1011, 2492, 1011, 10572, 3565, 8663, 8566, 6593, 7730, 2038, 2042, 4663, 1999, 2536, 4475, 2011, 2478, 24774, 1011, 6381, 11721, 3436, 1012, 1031, 1030, 6300, 10790, 1025, 1030, 8945, 2140, 14526, 1025, 1030, 1057, 2368, 14526, 1025, 1030, 18798, 14526, 1025, 1030, 12931, 12521, 1025, 1030, 6300, 12521, 1025, 1030, 8183, 16068, 1025, 1030, 11895, 16068, 1025, 1030, 18952, 16068, 1025, 1030, 11320, 16068, 1025, 1030, 5622, 16048, 1025, 1030, 2522, 2015, 16048, 1025, 1030, 16729, 15136, 1033, 999, 1031, 1006, 1037, 1007, 8040, 28433, 4588, 1997, 1037, 6323, 3968, 7096, 2007, 2053, 3252, 2005, 8161, 1996, 18330, 10178, 1999, 1996, 24774, 6381, 1012, 12475, 1010, 3120, 1010, 1998, 4796, 28688, 2015, 2031, 2042, 24212, 2006, 1996, 3302, 1997, 1037, 2309, 6121, 6323, 1012, 2069, 1996, 3149, 1997, 1996, 3968, 7096, 2006, 1996, 6323, 3302, 2003, 9732, 1011, 12527, 1010, 2029, 8456, 1996, 20299, 1997, 8198, 1012, 1996, 2717, 1997, 1996, 3302, 2003, 7722, 1011, 12527, 1012, 1996, 7722, 18287, 29103, 27152, 2015, 1996, 3149, 2013, 1996, 4796, 1012, 1037, 4530, 1997, 24774, 6381, 2003, 4162, 2000, 3104, 2119, 1996, 3149, 1998, 4796, 28688, 1012, 1006, 1038, 1007, 4860, 18642, 1997, 1996, 7123, 5012, 1997, 2048, 6323, 3968, 21593, 2012, 1996, 4796, 10004, 1997, 1002, 1011, 1015, 1002, 1058, 1012, 1996, 7099, 17350, 2001, 2275, 1996, 2168, 2004, 3491, 1999, 1006, 1037, 1007, 1998, 7594, 2007, 1037, 2048, 1011, 2391, 9563, 1012, 1996, 24774, 6381, 2006, 1996, 7099, 22441, 2001, 3139, 2007, 2019, 4895, 23901, 2235, 3538, 1997, 3221, 1012, 1996, 7099, 22441, 2001, 7594, 2007, 1037, 2176, 1011, 2391, 9563, 1012, 1996, 5012, 1997, 17350, 3402, 3445, 1006, 1996, 2783, 10548, 2000, 1996, 5005, 2504, 1007, 2012, 6421, 1047, 1010, 2029, 2001, 3303, 2011, 1996, 19583, 1997, 24774, 6381, 1012, 1996, 3120, 1998, 12475, 28688, 2015, 2006, 1996, 9732, 1011, 12527, 6323, 3302, 2020, 2036, 6822, 20956, 2125, 1012, 2714, 6215, 1997, 1996, 5080, 3252, 2036, 4158, 2005, 22441, 2012, 13029, 1047, 1012, 1006, 1039, 1007, 1996, 2312, 9829, 4935, 19064, 1997, 7708, 24774, 6381, 4102, 2000, 2008, 1997, 6323, 5260, 2000, 18330, 10178, 1006, 1998, 4525, 17433, 1007, 2012, 1996, 8278, 1012, 1006, 1040, 1010, 1041, 1007, 9380, 24635, 4871, 1997, 1037, 4530, 7485, 1997, 24774, 6381, 1006, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1007, 2006, 1037, 9732, 1011, 12527, 6323, 3302, 2012, 3263, 1047, 1006, 1040, 1007, 1998, 1022, 1047, 1006, 1041, 1007, 1012, 1996, 21963, 1997, 1996, 7708, 24774, 6381, 2001, 5159, 1010, 10712, 2138, 1996, 9732, 1011, 12527, 3302, 1997, 6323, 2003, 3811, 1523, 2512, 1011, 6293, 1524, 1012, 1996, 4530, 7485, 2946, 2012, 2169, 4860, 1998, 2012, 3998, 1047, 2003, 8212, 2011, 18198, 3210, 1012, 1033, 1006, 20965, 2487, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1021, 16344, 5657, 27487, 1000, 1065, 2174, 1010, 2045, 2003, 1037, 6742, 3291, 2005, 2107, 2659, 1011, 4860, 11702, 2006, 3968, 21593, 1024, 7708, 24774, 26820, 2411, 19583, 2012, 2659, 7715, 1012, 2023, 19653, 2015, 2070, 29172, 3896, 2006, 11702, 1010, 2107, 2004, 1037, 5573, 5376, 1999, 1996, 5012, 1011, 4860, 7774, 1006, 20965, 1012, 1015, 1007, 1012, 1037, 2312, 4816, 1999, 23393, 23924, 20175, 2100, 4298, 2349, 2000, 1996, 2334, 11009, 1997, 7708, 24774, 6381, 2013, 1996, 7099, 2038, 2036, 2042, 2988, 2005, 1059, 2015, 1002, 1035, 1016, 1002, 1998, 9587, 2015, 1002, 1035, 1016, 1002, 3968, 21593, 1012, 1031, 1030, 8183, 16068, 1025, 1030, 2522, 2015, 16048, 1033, 2122, 3471, 2024, 10712, 2349, 2000, 1996, 18330, 10178, 3303, 2011, 1996, 2312, 4489, 1999, 1996, 9829, 4935, 19064, 2090, 1996, 7708, 24774, 6381, 1998, 4539, 7099, 2030, 2049, 16305, 1012, 1999, 2023, 3259, 2057, 8970, 2019, 6388, 6028, 2008, 16081, 2229, 1996, 18330, 10178, 1998, 5260, 2000, 6540, 11702, 2006, 3968, 21593, 2012, 2659, 7715, 1012, 2256, 16437, 2015, 2005, 6323, 1998, 13773, 3968, 21593, 1031, 1030, 8038, 2213, 17134, 1025, 1030, 8038, 2213, 16932, 1025, 1030, 8038, 2213, 16048, 1025, 1030, 21871, 16576, 1025, 1030, 21871, 16576, 2475, 1033, 2024, 3491, 2004, 4973, 1012, 2023, 6028, 2097, 3499, 6540, 1998, 8114, 2659, 1011, 4860, 7885, 2007, 3968, 21593, 1998, 2913, 1997, 2152, 1011, 3737, 8168, 2007, 4359, 4816, 1999, 23393, 23924, 20175, 2100, 1012, 3463, 1998, 6594, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1037, 3145, 3444, 1997, 2256, 16437, 2003, 1037, 4675, 5127, 2872, 2682, 1996, 7099, 1013, 16305, 3302, 1006, 20965, 1012, 1016, 1007, 1012, 24774, 6381, 2003, 12889, 2090, 1996, 4675, 5127, 1998, 7099, 1013, 16305, 3302, 1012, 1037, 2714, 16437, 2038, 2042, 2109, 1999, 3025, 7885, 1012, 1031, 1030, 8945, 2140, 14526, 1025, 1030, 12931, 12521, 1033, 2057, 16599, 2182, 2008, 2019, 11706, 12403, 6129, 2090, 1996, 7099, 1013, 16305, 3302, 1998, 1996, 4675, 5127, 2064, 5547, 1996, 18330, 10178, 2008, 3544, 2043, 1996, 5080, 2003, 12981, 1012, 2256, 2801, 2003, 2000, 19079, 2005, 1996, 11520, 1011, 10572, 22802, 4270, 1997, 7708, 24774, 6381, 1999, 1037, 6228, 5450, 2011, 2478, 1996, 22802, 4270, 1997, 1996, 4675, 5127, 2490, 1012, 2065, 1996, 22802, 4270, 1997, 1996, 2490, 2247, 1996, 1062, 8123, 2003, 3469, 2084, 2008, 1997, 1996, 24774, 6381, 1010, 1996, 24774, 6381, 2003, 16620, 2247, 1996, 1062, 8123, 1998, 24545, 2247, 1996, 1060, 2100, 4946, 1012, 2065, 1996, 22802, 4270, 1997, 24774, 6381, 2247, 1996, 1060, 2100, 4946, 2349, 2000, 11520, 17542, 2015, 2023, 4935, 1010, 2045, 2323, 2022, 2053, 18330, 10178, 2247, 1996, 1060, 2100, 4946, 1012, 1996, 4675, 5127, 2064, 2022, 2109, 2004, 1037, 4796, 28688, 2065, 2049, 3302, 2003, 29103, 6204, 3512, 1998, 1037, 5372, 27930, 2003, 2081, 1012, 999, 1031, 1006, 1037, 1010, 1038, 1007, 8040, 28433, 4588, 1997, 1037, 6323, 3968, 7096, 2007, 1037, 4675, 5127, 1012, 1006, 1039, 1007, 9380, 3746, 1997, 1037, 6323, 3968, 7096, 2275, 2006, 1037, 7099, 9111, 2007, 1037, 4675, 5127, 1012, 1996, 7099, 9111, 2003, 3491, 2182, 2006, 1037, 9111, 3233, 1010, 2029, 2003, 3718, 2043, 1996, 7099, 9111, 2003, 10203, 2007, 27427, 5007, 1006, 20965, 1012, 1017, 1007, 1012, 1996, 9646, 1997, 1996, 6323, 7099, 2024, 1016, 1012, 1020, 3461, 1002, 1032, 2335, 1002, 1016, 1012, 1020, 3461, 1002, 1032, 2335, 1002, 1014, 1012, 1017, 3461, 1012, 1033, 1006, 20965, 2475, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1021, 16344, 5657, 27487, 1000, 1065, 999, 1031, 8040, 28433, 4588, 1997, 1996, 7099, 9111, 3320, 2005, 23038, 1999, 1037, 15913, 3482, 1012, 1037, 2000, 1011, 1019, 20346, 2003, 2853, 6850, 2000, 1996, 2364, 2112, 1997, 1996, 7099, 9111, 2005, 5992, 5438, 2705, 22494, 5603, 1012, 1033, 1006, 20965, 2509, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1018, 1012, 1020, 16344, 5657, 27487, 1000, 1065, 999, 1031, 4860, 18642, 1997, 1996, 7123, 5012, 1997, 2184, 2367, 6323, 3968, 21593, 1012, 1996, 5012, 2001, 7594, 2007, 1037, 2176, 1011, 2391, 9563, 1012, 2013, 2327, 2000, 3953, 2012, 1996, 7290, 4860, 1010, 1996, 8168, 2024, 8597, 2004, 29491, 1011, 2184, 1012, 1996, 3302, 10296, 1010, 24774, 6381, 1010, 1998, 4796, 10004, 2024, 2004, 4076, 1012, 29491, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 1056, 10343, 2072, 1010, 1002, 1011, 1015, 1012, 1022, 1058, 1002, 1025, 1038, 2475, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 1022, 1058, 1002, 1025, 1038, 2509, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1025, 1002, 1011, 1015, 1012, 1022, 1002, 1058, 1010, 1038, 2549, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 1056, 10343, 2072, 1010, 1002, 1011, 1015, 1012, 4749, 1002, 1058, 1025, 1038, 2629, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 4008, 1002, 1058, 1025, 1038, 2575, 1024, 1006, 2531, 1007, 1010, 1056, 8737, 2050, 1011, 1056, 10343, 2072, 1009, 1044, 24475, 5332, 1010, 1002, 1011, 1016, 1012, 5388, 1002, 1058, 1025, 1038, 2581, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 5986, 1002, 1058, 1025, 1038, 2620, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1016, 1012, 1018, 1002, 1058, 1025, 1038, 2683, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1016, 1012, 1016, 1002, 1058, 1025, 29491, 2692, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 1022, 1002, 1058, 1012, 8945, 4948, 1011, 2079, 5669, 6323, 2001, 2109, 2004, 3120, 1010, 12475, 1010, 1998, 4796, 28688, 2015, 2005, 1038, 2575, 1012, 1996, 6323, 3302, 1997, 29491, 2692, 2003, 9593, 3973, 4257, 1012, 1031, 1030, 8038, 2213, 16932, 1033, 1996, 10543, 7594, 2096, 1996, 7099, 2001, 12981, 2091, 1998, 17336, 2039, 2024, 2119, 3491, 2005, 1038, 2475, 1998, 29491, 2692, 1012, 1006, 3897, 4317, 3210, 2024, 2005, 12959, 2039, 1012, 1007, 1996, 5012, 8386, 2005, 2367, 8168, 2750, 2714, 4796, 10004, 2015, 2003, 7108, 2000, 2367, 8310, 1997, 5338, 14997, 2953, 20179, 2015, 2006, 1996, 6323, 3302, 1012, 1031, 1030, 8038, 2213, 17134, 1033, 1033, 1006, 20965, 2549, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1020, 1012, 1019, 16344, 5657, 27487, 1000, 1065, 2292, 2149, 11628, 1996, 11706, 12403, 6129, 2090, 1996, 7099, 1013, 16305, 3302, 1998, 1996, 4675, 5127, 1012, 2057, 7868, 2008, 1996, 4675, 5127, 1998, 2049, 2490, 2024, 4317, 1998, 11841, 2438, 2008, 2027, 2024, 2025, 13366, 2953, 7583, 2011, 6327, 2486, 1012, 2057, 2036, 7868, 2008, 1996, 9829, 4935, 19064, 1997, 1996, 7099, 1006, 2030, 16305, 1007, 2003, 2235, 1998, 2064, 2022, 15486, 1012, 2023, 2003, 1996, 2553, 2043, 6323, 2030, 13773, 2003, 2109, 2004, 1037, 16305, 2030, 1037, 7099, 1010, 2138, 2012, 7715, 2917, 26953, 1047, 1996, 9829 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1063, 1000, 11091, 1000, 1024, 1000, 1030, 1999, 21572, 3401, 17819, 2015, 1063, 6309, 2545, 11387, 11387, 1010, 1032, 1050, 2516, 1027, 1063, 9854, 5512, 2389, 2236, 3989, 1024, 1037, 7721, 4118, 2006, 1032, 1050, 12689, 2951, 1065, 1010, 1032, 1050, 3166, 1027, 1063, 3817, 6309, 2545, 1998, 7150, 21147, 8040, 2232, 1032, 1000, 1063, 1037, 1065, 1054, 3669, 1998, 7150, 9539, 1998, 1032, 1050, 1044, 8516, 3489, 20934, 20257, 1998, 3817, 6519, 14544, 1998, 14262, 5856, 2072, 10556, 14235, 8428, 1998, 1032, 1050, 24794, 3566, 16179, 1998, 19522, 2721, 19432, 12952, 22576, 1998, 23739, 2480, 2358, 10354, 23309, 2243, 1998, 1032, 1050, 14841, 12821, 14841, 8747, 1998, 22141, 17608, 7724, 1998, 19523, 7418, 1998, 7871, 3158, 23727, 1998, 1032, 1050, 14439, 8945, 2271, 12647, 1065, 1010, 1032, 1050, 2338, 3775, 9286, 1027, 1063, 24582, 20974, 1065, 1010, 1032, 1050, 2095, 1027, 1063, 12609, 1065, 1010, 1032, 1050, 24471, 2140, 1027, 1063, 16770, 1024, 1013, 1013, 12098, 9048, 2615, 1012, 8917, 1013, 14689, 1013, 4878, 1012, 5641, 2581, 17134, 1012, 11135, 1065, 1010, 1032, 1050, 1065, 1000, 1010, 1000, 6412, 1000, 1024, 1000, 1996, 12935, 4160, 2951, 13462, 1006, 1998, 2009, 1005, 1055, 19584, 1007, 2005, 9854, 5512, 2389, 2236, 3989, 1012, 1032, 1050, 1032, 24978, 4402, 16770, 1024, 1013, 1013, 12098, 9048, 2615, 1012, 8917, 1013, 14689, 1013, 4878, 1012, 5641, 2581, 17134, 1012, 11135, 2005, 4281, 1012, 1032, 1050, 1032, 6583, 3602, 2055, 1996, 27354, 2275, 1024, 2144, 2009, 2038, 1996, 2168, 4353, 2004, 1996, 3231, 1032, 24978, 3388, 1998, 2057, 2024, 4699, 1999, 9854, 1996, 5512, 2389, 2236, 3989, 1997, 1037, 1032, 1050, 1008, 2944, 1008, 2007, 4847, 2000, 2019, 1008, 4242, 1008, 3231, 4353, 2057, 6592, 2008, 2151, 1032, 23961, 19496, 3070, 2323, 2022, 2589, 2006, 1037, 16745, 1997, 1996, 3345, 2275, 2069, 1006, 2156, 2930, 1019, 1012, 1015, 1997, 1996, 1032, 27937, 24065, 2099, 1007, 1012, 1032, 1050, 1032, 11265, 18684, 23344, 8192, 1024, 1032, 1050, 1032, 1050, 1036, 1036, 1036, 1032, 1050, 2850, 2696, 1027, 1056, 2546, 5104, 1012, 7170, 1006, 1005, 12935, 4160, 1013, 11338, 2094, 2487, 1005, 1007, 1032, 1050, 1036, 1036, 1036, 1000, 1010, 1000, 22956, 4697, 1000, 1024, 1000, 25491, 28154, 21057, 2575, 2487, 1000, 1010, 1000, 3295, 1000, 1024, 1063, 1000, 24471, 4877, 1000, 1024, 1031, 1000, 16770, 1024, 1013, 1013, 21025, 2705, 12083, 1012, 4012, 1013, 8224, 1011, 2470, 1013, 8224, 1011, 2470, 1013, 3392, 1013, 3040, 1013, 12935, 4160, 1000, 1033, 1065, 1010, 1000, 2171, 1000, 1024, 1000, 12935, 4160, 1000, 1010, 1000, 8040, 28433, 1000, 1024, 1063, 1000, 3444, 1000, 1024, 1031, 1063, 1000, 5884, 1000, 1024, 1000, 23032, 1000, 1010, 1000, 2171, 1000, 1024, 1000, 23032, 1000, 1010, 1000, 3739, 1000, 1024, 1063, 1000, 8117, 3597, 16671, 1000, 1024, 1000, 1015, 1000, 1010, 1000, 8117, 27843, 7542, 1000, 1024, 1015, 1012, 1014, 1065, 1010, 1000, 4338, 1000, 1024, 1063, 1000, 11737, 1000, 1024, 1031, 1063, 1000, 2946, 1000, 1024, 1000, 1015, 1000, 1065, 1033, 1065, 1010, 1000, 2828, 1000, 1024, 1000, 27507, 1000, 1065, 1010, 1063, 1000, 5884, 1000, 1024, 1000, 3160, 1000, 1010, 1000, 2171, 1000, 1024, 1000, 3160, 1000, 1010, 1000, 3739, 1000, 1024, 1063, 1000, 8117, 3597, 16671, 1000, 1024, 1000, 1015, 1000, 1010, 1000, 8117, 27843, 7542, 1000, 1024, 1015, 1012, 1014, 1065, 1010, 1000, 4338, 1000, 1024, 1063, 1000, 11737, 1000, 1024, 1031, 1063, 1000, 2946, 1000, 1024, 1000, 1015, 1000, 1065, 1033, 1065, 1010, 1000, 2828, 1000, 1024, 1000, 27507, 1000, 1065, 1033, 1010, 1000, 5164, 9527, 8113, 1000, 1024, 1031, 1063, 1000, 2171, 1000, 1024, 1000, 23032, 1000, 1010, 1000, 3643, 1000, 1024, 1031, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 1037, 24978, 1024, 2111, 1012, 2711, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 9427, 2099, 1035, 5859, 1012, 9427, 1035, 2640, 1035, 2005, 1035, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 1037, 24978, 1024, 2111, 1012, 2711, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 29061, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 29061, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 29061, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 29061, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 3237, 1035, 2550, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 28280, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 1049, 2692, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 3237, 1035, 2550, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 8297, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 4175, 1006, 1008, 1007, 2073, 1063, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 9427, 2099, 1035, 5859, 1012, 9427, 1035, 2640, 1035, 2005, 1035, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 4175, 1006, 1008, 1007, 2073, 1063, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 4175, 1006, 1008, 1007, 2073, 1063, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1012, 1032, 13221, 2692 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2848, 11374, 1521, 1055, 1520, 5943, 22213, 1521, 3259, 1998, 2049, 3378, 6594, 11689, 2038, 7013, 2019, 8216, 3815, 1997, 3037, 2006, 9191, 2638, 16526, 17960, 3686, 1006, 24125, 7928, 2000, 3058, 1007, 1012, 2848, 1998, 1045, 2031, 6551, 12315, 1996, 12247, 1006, 2348, 2025, 2467, 3530, 2007, 1996, 16218, 2015, 999, 1007, 1010, 1998, 2023, 2038, 2419, 2848, 2000, 7374, 1024, 1006, 1037, 1007, 2019, 7172, 2544, 1997, 1520, 5943, 2613, 7616, 1521, 1006, 8816, 1996, 7172, 1058, 2475, 11135, 2182, 1007, 1998, 1006, 1038, 1007, 1037, 3433, 3259, 1006, 8816, 11135, 2182, 1007, 1012, 2917, 1045, 21376, 1996, 3433, 1010, 1998, 2036, 2421, 2848, 1521, 1055, 11080, 2098, 4106, 1997, 1996, 4094, 1013, 3465, 1997, 1996, 6451, 6726, 6502, 1006, 11135, 2182, 1007, 1012, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1516, 7831, 1997, 3007, 3465, 1997, 4517, 1998, 5943, 2373, 2011, 2848, 11374, 1006, 2848, 2003, 1037, 3394, 21334, 1998, 3992, 2007, 2871, 2086, 3325, 2006, 1037, 2898, 2846, 1997, 2943, 3934, 2802, 1996, 2088, 1010, 2164, 6605, 2943, 1054, 1004, 1040, 1998, 4346, 3343, 6040, 2005, 2231, 1998, 4559, 1012, 2010, 3325, 2950, 1024, 5317, 1010, 3514, 1010, 3806, 1010, 18479, 1010, 20248, 23367, 1010, 4517, 2373, 4264, 1010, 4517, 5949, 13148, 1010, 1998, 1037, 2898, 2846, 1997, 2943, 2203, 2224, 2968, 3934, 1007, 4955, 2023, 3259, 22963, 1996, 3007, 3465, 1997, 2093, 6451, 4245, 6786, 2241, 2006, 1037, 3722, 4106, 1012, 1996, 7831, 2003, 2006, 1996, 3978, 2008, 1996, 6786, 2064, 4425, 1996, 2120, 6451, 3006, 1006, 11265, 2213, 1007, 5157, 2302, 10725, 4762, 2067, 2039, 1012, 1996, 11265, 2213, 5157, 1999, 3467, 2289, 2001, 1024, 2322, 1043, 2860, 2918, 7170, 2373, 1025, 3943, 1043, 2860, 4672, 2373, 1006, 2012, 1020, 1024, 2382, 7610, 1007, 1025, 1998, 2423, 1043, 2860, 2779, 2373, 1012, 5174, 1043, 2860, 2232, 2943, 2566, 2154, 1006, 10332, 1043, 2860, 2232, 2090, 1017, 7610, 1998, 1023, 2572, 1007, 1996, 2093, 6786, 4102, 2024, 1024, 1015, 1012, 4517, 2373, 1025, 1016, 1012, 5943, 6302, 1011, 26089, 2594, 2007, 2943, 5527, 1025, 1998, 1017, 1012, 5943, 9829, 2007, 2943, 5527, 1006, 5943, 9829, 6786, 2008, 2064, 3113, 2023, 5157, 2079, 2025, 4839, 2664, 1012, 5943, 9829, 2003, 2145, 1999, 1996, 2220, 5711, 1997, 2458, 1998, 10467, 1012, 2006, 1996, 2974, 2166, 5402, 5943, 9829, 2003, 2077, 1523, 9524, 3341, 1524, 1516, 6523, 1024, 8299, 1024, 1013, 1013, 4372, 1012, 16948, 1012, 8917, 1013, 15536, 3211, 1013, 2974, 1035, 2166, 23490, 1007, 1012, 2023, 3259, 2003, 2019, 5331, 1997, 1996, 3259, 1523, 5943, 2373, 22213, 1524, 1012, 2008, 3259, 3640, 2592, 2008, 2003, 6827, 2005, 4824, 2023, 3259, 1012, 1996, 10035, 2024, 1520, 3608, 1011, 2380, 1521, 1998, 3832, 2000, 3073, 1037, 5464, 1997, 1996, 6786, 2738, 2084, 6635, 5366, 1012, 1996, 10035, 2323, 2022, 2641, 2004, 1009, 1013, 1011, 2753, 1003, 1012, 4517, 2373, 2423, 1043, 2860, 1030, 1002, 1018, 4551, 1013, 1043, 2860, 1027, 1002, 2531, 4551, 1006, 1996, 3876, 1011, 2091, 1011, 3465, 1997, 4517, 2089, 2022, 2423, 1003, 2000, 2753, 1003, 1997, 2023, 3275, 2065, 2057, 3362, 10465, 2008, 2057, 2342, 2000, 3013, 11768, 2013, 6451, 2000, 2379, 5717, 2004, 2855, 2004, 10975, 28804, 3085, 1012, 1007, 1022, 1043, 2860, 16486, 18479, 5527, 1030, 1002, 1016, 1012, 1019, 4551, 1013, 1043, 2860, 1027, 1002, 2322, 4551, 2561, 3007, 3465, 1027, 1002, 6036, 4551, 2660, 2525, 2038, 2055, 1016, 1043, 2860, 1997, 16486, 1011, 18479, 5527, 2061, 2057, 2052, 2342, 2019, 3176, 1020, 1043, 2860, 2000, 3113, 2023, 9095, 1012, 2065, 7182, 16486, 18479, 5527, 4573, 2024, 2025, 2800, 2057, 2064, 2224, 2019, 3176, 1022, 2290, 2860, 1997, 4517, 2030, 5072, 5527, 1006, 1041, 1012, 1043, 1012, 13365, 21396, 8458, 3126, 10274, 1007, 1012, 1996, 3176, 1022, 1043, 2860, 1997, 4517, 2052, 3623, 1996, 3465, 2011, 1002, 2260, 4551, 2000, 1002, 14078, 4551, 1006, 1996, 3465, 1997, 4469, 1022, 1043, 2860, 4517, 2625, 1996, 3465, 1997, 1022, 1043, 2860, 1997, 16486, 18479, 5527, 1025, 1045, 1012, 1041, 1012, 1002, 3590, 4551, 1516, 1002, 2322, 4551, 1007, 1012, 3007, 3465, 1997, 26189, 2291, 2007, 2382, 2420, 1997, 16486, 1011, 18479, 5527, 1027, 1002, 1016, 1010, 5385, 4551, 1012, 1006, 1999, 4507, 1010, 2057, 2079, 2025, 2031, 4573, 2800, 2005, 2130, 1015, 2154, 1997, 16486, 18479, 5527, 1012, 1007, 3007, 3465, 1997, 26189, 2291, 2007, 1019, 2420, 1997, 13365, 21396, 8458, 3126, 6046, 5527, 1027, 1002, 1018, 1010, 5174, 4551, 1012, 5943, 9829, 1996, 2291, 2442, 2022, 2583, 2000, 4425, 1996, 2373, 2000, 3113, 5157, 2012, 2035, 2335, 1010, 2130, 2076, 2146, 6993, 1997, 2058, 10526, 3785, 1012, 2057, 2442, 2640, 2005, 1996, 5409, 3785, 1012, 2057, 1521, 2222, 5136, 2048, 5409, 2553, 16820, 1024, 1015, 1012, 2035, 2373, 3703, 2024, 2104, 6112, 2012, 1996, 2168, 2051, 2005, 1017, 2420, 1012, 1016, 1012, 2012, 2035, 2335, 2090, 1023, 2572, 1998, 1017, 7610, 2012, 2560, 2028, 2373, 2276, 1010, 4873, 1010, 2038, 3622, 9325, 1010, 2021, 2035, 2060, 2373, 3703, 2024, 2104, 6112, 1012, 17568, 1024, 1996, 2779, 3977, 5387, 2005, 2035, 1996, 2373, 3703, 2043, 2104, 6112, 2005, 1017, 2420, 2003, 1015, 1012, 5179, 1003, 1006, 2000, 2022, 8335, 2007, 1996, 26189, 4106, 1999, 1523, 5943, 2373, 22213, 1524, 1025, 6523, 2000, 3275, 1021, 1998, 1996, 2795, 2006, 3931, 2184, 1007, 1012, 1996, 3977, 5387, 1999, 3054, 10105, 3334, 1010, 2043, 2025, 2104, 6112, 1010, 2003, 2321, 1003, 1006, 6523, 3275, 1021, 1999, 1523, 5943, 2373, 22213, 1524, 1007, 1012, 2021, 1996, 8044, 2693, 1010, 2061, 2035, 1996, 2373, 3703, 2342, 2023, 11717, 3977, 1012, 2000, 20446, 5562, 1996, 9723, 2008, 2012, 2560, 2028, 2373, 2276, 2003, 1999, 1996, 3103, 2057, 2342, 2116, 2373, 3703, 3659, 2058, 1037, 2312, 9183, 2181, 1012, 2065, 2057, 2031, 2360, 2322, 2373, 3703, 3659, 2408, 2148, 2264, 2148, 2660, 1010, 3848, 1010, 11524, 1998, 2670, 5322, 1010, 2057, 2052, 2342, 1017, 1010, 3998, 1043, 2860, 1516, 10262, 2069, 1996, 2373, 2276, 1999, 1996, 3103, 2003, 11717, 1012, 2065, 2057, 2215, 2417, 18426, 9407, 2005, 1996, 2373, 2276, 1999, 1996, 3103, 1010, 2057, 1521, 1040, 2342, 2000, 3313, 1996, 1017, 1010, 3998, 1043, 2860, 2000, 1020, 1010, 5174, 1043, 2860, 1012, 1997, 2607, 1996, 2373, 3703, 2104, 6112, 2097, 2036, 9002, 1012, 2292, 1521, 1055, 2360, 2027, 2024, 11717, 2012, 1015, 1012, 5179, 1003, 3977, 5387, 1012, 2302, 2183, 2083, 1996, 16268, 2057, 2064, 2156, 1996, 3977, 3223, 2097, 2022, 2090, 1996, 1015, 1010, 5174, 1043, 2860, 10174, 2005, 11967, 1015, 1998, 1996, 1017, 1010, 3998, 1043, 2860, 10174, 2182, 1012, 2174, 1010, 2009, 2003, 1037, 4659, 2235, 7312, 1006, 12935, 1017, 1003, 1013, 3438, 1003, 1027, 1019, 1003, 7312, 1007, 1010, 2061, 1045, 2031, 6439, 2009, 1999, 2023, 3722, 4106, 1012, 2061, 1010, 11967, 1016, 5942, 10332, 1010, 2199, 12464, 2232, 5527, 1998, 1017, 1010, 3998, 1043, 2860, 11717, 3977, 1012, 2009, 2036, 5942, 1037, 2200, 2172, 3618, 6726, 3977, 1010, 2021, 2057, 1521, 2222, 8568, 2008, 2005, 2085, 1012, 2023, 2052, 2022, 1996, 3465, 2065, 1996, 3103, 2001, 2467, 9716, 14224, 2006, 2035, 1996, 5943, 2373, 3703, 1012, 2023, 2003, 2055, 2274, 2335, 1996, 3465, 1997, 4517, 1012, 2174, 1010, 2008, 2003, 2025, 2035, 1012, 2023, 2291, 2089, 2031, 2019, 3171, 2166, 5987, 11656, 1997, 3383, 2382, 2086, 1012, 2061, 2009, 2097, 2342, 2000, 2022, 2999, 2012, 2560, 2320, 2076, 1996, 2166, 1997, 1037, 4517, 3269, 1012, 2061, 1996, 5366, 2323, 2022, 11515, 2000, 2031, 1037, 4189, 7831, 2007, 1037, 4517, 3269, 1012, 1999, 2344, 2000, 10197, 1996, 5366, 2005, 11967, 1015, 1998, 11967, 1016, 2057, 2342, 5366, 2005, 2373, 1998, 2005, 2943, 5527, 2004, 3584, 5167, 1012, 1996, 7953, 2951, 1998, 1996, 16268, 2024, 3491, 1999, 1996, 22524, 1012, 1996, 5366, 2005, 1996, 2048, 16820, 1006, 2156, 22524, 2005, 1996, 16268, 1007, 2024, 1024, 12654, 1997, 3465, 10035, 2005, 1996, 7047, 2641, 1996, 7091, 3090, 1999, 1996, 1523, 5943, 2373, 22213, 1524, 3259, 2003, 4484, 1012, 1996, 3007, 3465, 1997, 5943, 2373, 2052, 2022, 2322, 2335, 2062, 2084, 4517, 2373, 2000, 3073, 1996, 11265, 2213, 5157, 1012, 5943, 26189, 2003, 1996, 2560, 3465, 1997, 1996, 5943, 7047, 1012, 1996, 2172, 3618, 5211, 1999, 5943, 26189, 2084, 1999, 5943, 9829, 2088, 2898, 2522, 18933, 12821, 8520, 2023, 7091, 1012, 2070, 3964, 2006, 6112, 3104, 1037, 4248, 13594, 1997, 1996, 4879, 1997, 23879, 6779, 5871, 4871, 3936, 1996, 2206, 1024, 2023, 4957, 3640, 2938, 20806, 2618, 5328, 1012, 1037, 7077, 2083, 1996, 22878, 4871, 2005, 2169, 2154, 1997, 2238, 1010, 2251, 1998, 2257, 2268, 1010, 3065, 2008, 2172, 1997, 2148, 2264, 2148, 2660, 1010, 3848, 1010, 11524, 1998, 2670, 5322, 2020, 6112, 3139, 2006, 2238, 1015, 1010, 1016, 1010, 2538, 1998, 2423, 2000, 2654, 1012, 2251, 1017, 2000, 1020, 1010, 2184, 1010, 2340, 1010, 2403, 1012, 2385, 1010, 2570, 2000, 2861, 2036, 2018, 6923, 6112, 3104, 1006, 14935, 2001, 1996, 5409, 1007, 1010, 2004, 2106, 2257, 1018, 1010, 1023, 1010, 2184, 1010, 2538, 1010, 2570, 1012, 1012, 2023, 2001, 2025, 1037, 1037, 20001, 2817, 1012, 3602, 2008, 1010, 2348, 2023, 2795, 2950, 16268, 2005, 1996, 3465, 1997, 1037, 2291, 2007, 1017, 1998, 1019, 2420, 1997, 7142, 3169, 2012, 2440, 2373, 1010, 1996, 2974, 2515, 2025, 4839, 1010, 1998, 2783, 3350, 2003, 2008, 2009, 2003, 17727, 22648, 22723, 3468, 1012, 1996, 3275, 2003, 2109, 1999, 2023, 7831, 1010, 2021, 2003, 3811, 21931, 1012, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1516, 3690, 4892, 2000, 20441, 2015, 3636, 3156, 2243, 2615, 6726, 2240, 1012, 2169, 1997, 1996, 3313, 4984, 3156, 2243, 2615, 3210, 2013, 3690, 4892, 2000, 20441, 2015, 3636, 2064, 4287, 19652, 2692, 2213, 2860, 1012, 1996, 3156, 2243, 2615, 3210, 2024, 3313, 4984, 1010, 1017, 4403, 1010, 17718, 4589, 1010, 1045, 1012, 1041, 1012, 1016, 13782, 2335, 1017, 12335, 2335, 1018, 23396, 2566, 14012, 1010, 1045, 1012, 1041, 1012, 2484, 14666, 2566, 3578, 1012, 4589, 2003, 9353, 21338, 1010, 14794, 7589, 3886, 11013, 1010, 2007, 5139, 14119, 1997, 1017, 1012, 2423, 7382, 22939, 14794, 4193, 1021, 14119, 1997, 1017, 1012, 2423, 7382, 22939, 3886, 1012, 5560, 1015, 1013, 1017, 1997, 1996, 3465, 1997, 1037, 2240, 2003, 1999, 1996, 14666, 1010, 1015, 1013, 1017, 1999, 1996, 3886, 7626, 1998, 1015, 1013, 1017, 1999, 1996, 7496, 8163, 3223, 2000, 2448, 1996, 2240, 1012, 3007, 3465, 1997, 6726, 2005, 13918, 2943, 2206, 2003, 1037, 1520, 3608, 2380, 1521, 17208, 1997, 1996, 3465, 1997, 1037, 8260, 6726, 2291, 2000, 2490, 3612, 1998, 5943, 8623, 3659, 2408, 1996, 9983, 1998, 11717, 2035, 2256, 6451, 1012, 1996, 2801, 1997, 5500, 13918, 2943, 16937, 2003, 2008, 2012, 2560, 2028, 2555, 2097, 2022, 2583, 2000, 3113, 1996, 2561, 2779, 5157, 1006, 2423, 1043, 2860, 1007, 2012, 2151, 2051, 1012, 11243, 1996, 6958, 2008, 1520, 1996, 3612, 2003, 2467, 11221, 4873, 1521, 1998, 1520, 1996, 3103, 2097, 2467, 2022, 9716, 4873, 1999, 1996, 2154, 2051, 1521, 1010, 2045, 2097, 2022, 2335, 2043, 2035, 1996, 2373, 2052, 2022, 8127, 2011, 2074, 2028, 2555, 1516, 2292, 1521, 1055, 2655, 2009, 1996, 1520, 4873, 2555, 1521, 1012, 1996, 11967, 2000, 2022, 3465, 2098, 2003, 2004, 4076, 1024, 3612, 2373, 3703, 2024, 2284, 9197, 2247, 1996, 2670, 6167, 1997, 2660, 2013, 9300, 2000, 4940, 1012, 5943, 9829, 2373, 3703, 1010, 2169, 2007, 2037, 2219, 2006, 1011, 2609, 2943, 5527, 1010, 2024, 5500, 2802, 2256, 28858, 1010, 3262, 1999, 1996, 2264, 1011, 2225, 2316, 2408, 1996, 2690, 1997, 1996, 9983, 1012, 2035, 2373, 1006, 2423, 2290, 2860, 1007, 2442, 2022, 2583, 2000, 2022, 3024, 2011, 2151, 2555, 1012, 2057, 1521, 2222, 2918, 1996, 5366, 2006, 2311, 1037, 8260, 6726, 2291, 2013, 9300, 2000, 3994, 1010, 2007, 2274, 2167, 1011, 2148, 6726, 3210, 11383, 2013, 1996, 5943, 9829, 4655, 2012, 2105, 15250, 2603, 5445, 1012, 1996, 9300, 2000, 3994, 8260, 2240, 2003, 1018, 1010, 2199, 2463, 1998, 1996, 2274, 2167, 1011, 2148, 3210, 2779, 6694, 2463, 2169, 1012, 5587, 1015, 1010, 2199, 2463, 2000, 16062, 2000, 7364, 1010, 4940, 1010, 7717, 1012, 2561, 2240, 3091, 2003, 2184, 1010, 2199, 22287, 1012, 2035, 3210, 2442, 4287, 2423, 2290, 2860, 1012, 2169, 1997, 1996, 3313, 4984, 3156, 2243, 2615, 3210, 2013, 3690, 4892, 2373, 2276, 2000, 20441, 2015, 3636, 2064, 19818, 1017, 1010, 5539, 2213, 2860, 2061, 2292, 1521, 1055, 2360, 2057, 2052, 2342, 1022, 5903, 3210, 2005, 2423, 2290, 2860, 4606, 2028, 4469, 2004, 5057, 8622, 1012, 2066, 2023, 1024, 2066, 18570, 1012, 1012 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5530, 8756, 2005, 2251, 3083, 1010, 2230, 2859, 1521, 1055, 13131, 10489, 1521, 5950, 1006, 7610, 2072, 1007, 3062, 2000, 4720, 1012, 1015, 1999, 2238, 2013, 5187, 1012, 1023, 1999, 2089, 1010, 4311, 1996, 4035, 1010, 2021, 1996, 4481, 4081, 1996, 1031, 5814, 1033, 4753, 2001, 2145, 9186, 2738, 2084, 21012, 1012, 1996, 3189, 12332, 1996, 1516, 5816, 1516, 4030, 7698, 2000, 2231, 4073, 2000, 4658, 1996, 3200, 3006, 1998, 2000, 13730, 2924, 18435, 1012, 1996, 2430, 2231, 7278, 2006, 3469, 2091, 1011, 10504, 2006, 2047, 5014, 1998, 2081, 2009, 6211, 2005, 9387, 2000, 4965, 2195, 5014, 1012, 1996, 4035, 2036, 16614, 14009, 2004, 3038, 2008, 1996, 6904, 21928, 2075, 3795, 7233, 2001, 12473, 2859, 1521, 1055, 6434, 1012, 8418, 25311, 6692, 4541, 2220, 1999, 2238, 2008, 1996, 7610, 2072, 2003, 2028, 1997, 1996, 2877, 3171, 20390, 1012, 3432, 2404, 1010, 2043, 1996, 2193, 2003, 2682, 2753, 1010, 1996, 4610, 2003, 1999, 1037, 2110, 1997, 4935, 1012, 1999, 1996, 4500, 2553, 1010, 1996, 2193, 2758, 2008, 1996, 4610, 2003, 21012, 1006, 100, 100, 100, 100, 1989, 100, 100, 100, 100, 1981, 100, 2753, 1003, 1989, 100, 100, 100, 100, 1888, 100, 100, 100, 100, 100, 100, 1749, 1989, 100, 100, 1865, 100, 100, 100, 100, 100, 100, 100, 100, 100, 1981, 1989, 100, 100, 1865, 100, 100, 100, 100, 100, 100, 100, 100, 1007, 1012, 1996, 5814, 3068, 1521, 1055, 2238, 1521, 1055, 7610, 2072, 2001, 2091, 2000, 5187, 1012, 1023, 2566, 9358, 2013, 2258, 1521, 1055, 4583, 1012, 1021, 2566, 9358, 1010, 7009, 8418, 25311, 6692, 1010, 1998, 2043, 2559, 2012, 1996, 3265, 29299, 1010, 13599, 2089, 1998, 2258, 1010, 2702, 1008, 1007, 29299, 2018, 3333, 1516, 3391, 1999, 3408, 1997, 2047, 4449, 2013, 6304, 1006, 1862, 100, 100, 100, 100, 1010, 2013, 5354, 1012, 1017, 2000, 5139, 1012, 1022, 1007, 1011, 1010, 1998, 1996, 2069, 6453, 2426, 1037, 2561, 1997, 5408, 29299, 2001, 1996, 2736, 1011, 3688, 12235, 3111, 5950, 1010, 2029, 2018, 2941, 13763, 1010, 7009, 8418, 25311, 6692, 1010, 1998, 24647, 2015, 2049, 8141, 2011, 27394, 26236, 9818, 2859, 1521, 1055, 1006, 100, 100, 1746, 1799, 1007, 2708, 11708, 24209, 4291, 8428, 1006, 100, 100, 100, 1007, 2004, 3038, 2008, 1996, 5814, 3068, 1521, 1055, 7610, 2072, 5393, 1996, 12353, 1997, 1996, 1031, 2231, 1521, 1055, 1033, 17151, 3334, 3012, 5761, 2029, 24251, 2094, 1996, 3891, 1997, 2058, 20192, 3436, 1012, 4661, 1010, 1999, 2178, 3720, 1010, 2036, 1997, 2220, 2238, 1010, 8418, 25311, 6692, 2626, 2008, 2087, 1997, 1996, 3522, 4530, 1999, 1996, 7610, 2072, 5950, 2001, 12348, 1006, 100, 100, 100, 1007, 1012, 2043, 10426, 2005, 12348, 8092, 1010, 2045, 2001, 2053, 5793, 14047, 11071, 1012, 1996, 4610, 2052, 5441, 1037, 2738, 3435, 3930, 3446, 1010, 1998, 2065, 2045, 2001, 1037, 7263, 4530, 1999, 3930, 3616, 1010, 1998, 1037, 1031, 20172, 1033, 2844, 2028, 1999, 7610, 2072, 1010, 2023, 2001, 2069, 4760, 2008, 10964, 14200, 3778, 2001, 24070, 1006, 100, 100, 100, 100, 100, 100, 100, 100, 1749, 100, 1989, 100, 100, 100, 100, 100, 1744, 1865, 100, 1989, 100, 100, 100, 100, 100, 100, 100, 100, 100, 1766, 100, 100, 100, 100, 100, 1989, 100, 100, 100, 1893, 1839, 100, 100, 100, 1873, 1743, 100, 1989, 100, 100, 1746, 1989, 1862, 100, 100, 100, 100, 100, 100, 1810, 100, 1743, 100, 1989, 100, 1865, 100, 100, 100, 100, 100, 100, 1778, 100, 100, 1873, 100, 100, 100, 1007, 1012, 2028, 2739, 4034, 1010, 2048, 13846, 2021, 5399, 27894, 7696, 1024, 2061, 1010, 2129, 4621, 2024, 1996, 2231, 1521, 1055, 5761, 2000, 2562, 3171, 3930, 12949, 4658, 1029, 14200, 1010, 2130, 2065, 2025, 10964, 2151, 2062, 1010, 13011, 3020, 1999, 2089, 1010, 17003, 1996, 2880, 4539, 1997, 1017, 3867, 2005, 1996, 2095, 1010, 13463, 2070, 3988, 5751, 2008, 1996, 2088, 1521, 1055, 2350, 4975, 4610, 1521, 1055, 5211, 2038, 9784, 1010, 1996, 2111, 1521, 1055, 2924, 1997, 2859, 1006, 1052, 5092, 2278, 1007, 8509, 2009, 2023, 2126, 1024, 2859, 1521, 1055, 4610, 2003, 2200, 3497, 2000, 5441, 6706, 1998, 5915, 3930, 1999, 2230, 1010, 2007, 2062, 3893, 5876, 2084, 2197, 2095, 12992, 2075, 1996, 4610, 1010, 2021, 1996, 3842, 1521, 1055, 4610, 2145, 5344, 1037, 3375, 4968, 1998, 2248, 3663, 1012, 2065, 1996, 2822, 2231, 1521, 1055, 10908, 2024, 2004, 13727, 2004, 2037, 26632, 23035, 5906, 1010, 2027, 2064, 1521, 1056, 4298, 2022, 3236, 2006, 1996, 3308, 3329, 1012, 1996, 10507, 2361, 3513, 2859, 2006, 2116, 2367, 3798, 1010, 1998, 1996, 28353, 6072, 1521, 5906, 3815, 2119, 2000, 2635, 2070, 6040, 2013, 22171, 1998, 2000, 2635, 2200, 2367, 10605, 5328, 1516, 2013, 2028, 2430, 1998, 2116, 2334, 15251, 1516, 2006, 2054, 2052, 2022, 16166, 3289, 1999, 3408, 1997, 3930, 3616, 1998, 2037, 5512, 1516, 1998, 2006, 2054, 2785, 1997, 3463, 2323, 2022, 3517, 2013, 1996, 5906, 4162, 4414, 1012, 2021, 2096, 2053, 3463, 2089, 2272, 14153, 2104, 2122, 3785, 1010, 2027, 2064, 2022, 2738, 6151, 2229, 7895, 3468, 1516, 2119, 2005, 1996, 2430, 1998, 1996, 4992, 6867, 1012, 2096, 1996, 2430, 2231, 1521, 1055, 5166, 3504, 7199, 12042, 1010, 3272, 2005, 1996, 2627, 2095, 2030, 2048, 1010, 1996, 4992, 6867, 1521, 16156, 2024, 1037, 3294, 2367, 2466, 1012, 1996, 2822, 19220, 3454, 2020, 2787, 1999, 7211, 1010, 2012, 2560, 24207, 1012, 2021, 1996, 7375, 2001, 15835, 1037, 4992, 6771, 1010, 2007, 1996, 6941, 1010, 2030, 2062, 4919, 1996, 4992, 1011, 2231, 1011, 3079, 5211, 3316, 1010, 11717, 1996, 4834, 1997, 2769, 1516, 1998, 4297, 3126, 4892, 1996, 7978, 2270, 7016, 1012, 1999, 2233, 1010, 7855, 2118, 1521, 1055, 5125, 11895, 2232, 2409, 8845, 1999, 7211, 2008, 2004, 1997, 2281, 2263, 1010, 2070, 1022, 1010, 2199, 2334, 5211, 3316, 2165, 10940, 1997, 2012, 2560, 2340, 23458, 1516, 2698, 2335, 1996, 2561, 12594, 1997, 2334, 6867, 1012, 1996, 2430, 2231, 2001, 5307, 1037, 3601, 2090, 2855, 15089, 9259, 2006, 1996, 4834, 1997, 2769, 1010, 2030, 2292, 2919, 10940, 1998, 14200, 3659, 1012, 1523, 2859, 1521, 1055, 4105, 2089, 9544, 2000, 2292, 14200, 4125, 1010, 1998, 2000, 3613, 2000, 2191, 1996, 5085, 18496, 2769, 1012, 2027, 2089, 2025, 2130, 4299, 2000, 3499, 1037, 7965, 21963, 1010, 2077, 12515, 1996, 2279, 4245, 1997, 2283, 4177, 1012, 1524, 2065, 1996, 3097, 8269, 7211, 2038, 14830, 2076, 1996, 2627, 5109, 2024, 2000, 2377, 1037, 2535, 1999, 28667, 9331, 18400, 6026, 2859, 1521, 1055, 5085, 1010, 2045, 2003, 5121, 2053, 2330, 2831, 2055, 2009, 2664, 1012, 1998, 5875, 2135, 1010, 2283, 1998, 2110, 3472, 15876, 9743, 28555, 1006, 100, 100, 100, 1007, 1010, 2076, 1996, 1043, 11387, 6465, 1999, 4361, 2197, 2733, 1010, 2790, 2000, 3693, 10805, 16216, 8939, 3678, 1010, 5623, 10945, 1010, 1998, 2060, 2149, 22171, 1998, 8801, 1999, 14328, 1037, 17145, 1516, 2065, 2151, 1516, 6164, 2013, 1996, 19220, 3454, 3390, 2144, 1996, 2927, 1997, 1996, 3795, 3361, 5325, 1999, 2263, 1024, 1523, 2057, 2442, 2552, 1999, 1037, 17145, 1998, 6413, 2126, 7175, 1996, 10984, 1010, 6393, 1998, 8015, 1997, 2019, 6164, 2013, 1996, 3171, 19220, 14555, 1998, 24939, 1996, 11071, 1997, 7233, 1997, 1996, 2088, 4610, 1524, 1010, 1996, 9536, 3103, 16614, 15876, 1012, 1996, 3171, 6792, 7705, 3820, 2772, 2011, 6629, 1998, 2859, 1999, 24008, 19784, 7483, 2003, 1037, 3809, 5081, 1010, 5264, 1521, 1055, 7211, 1011, 6729, 19496, 3064, 2851, 2739, 1006, 100, 1792, 100, 100, 1007, 16614, 2148, 4759, 2865, 1998, 8519, 1012, 1996, 4420, 2248, 3119, 2523, 1006, 8934, 2050, 1007, 2207, 2019, 1523, 2044, 1011, 14925, 7011, 3433, 2565, 1524, 2006, 2238, 2756, 1010, 7302, 2041, 2008, 23234, 25006, 2006, 2062, 2084, 3156, 16539, 3688, 1010, 2426, 2068, 10394, 1010, 9004, 3217, 15869, 2015, 1010, 1998, 12945, 8622, 3033, 2007, 1037, 3643, 1997, 2055, 4376, 4551, 2149, 6363, 1010, 2020, 1037, 2502, 6271, 2000, 2148, 4759, 9167, 2545, 1012, 4593, 1999, 6792, 2007, 1996, 4420, 2820, 2005, 2248, 3171, 3343, 1006, 11382, 13699, 1007, 1010, 1996, 3433, 2565, 4858, 2008, 2426, 1996, 3174, 2327, 3688, 15612, 2000, 2859, 2011, 16539, 1998, 2148, 4759, 3316, 1010, 6381, 6121, 8834, 1010, 9004, 3217, 15869, 2015, 1010, 20681, 2015, 1010, 1998, 2436, 3941, 1010, 2045, 2024, 7426, 5167, 2426, 2068, 2029, 4635, 2152, 2119, 1999, 6629, 1521, 1055, 1998, 2148, 4420, 1521, 1055, 14338, 2000, 2859, 1012, 1996, 9544, 24271, 3949, 1997, 16539, 3688, 2052, 3202, 23021, 2148, 4759, 6975, 2791, 1010, 2142, 2851, 2739, 16614, 8934, 2050, 1012, 2264, 4021, 3679, 1006, 2023, 2171, 4593, 5218, 2000, 11947, 2050, 6335, 5092, 1010, 1037, 2148, 4759, 3259, 2029, 2036, 3216, 2019, 2394, 1010, 1037, 2887, 1998, 1037, 2822, 2653, 3179, 1007, 1010, 2003, 9339, 2011, 2142, 2851, 2739, 2004, 15591, 2008, 1010, 5307, 6629, 2635, 2185, 1996, 2822, 3006, 1010, 2148, 4420, 2323, 3696, 1037, 2489, 1011, 3119, 3820, 2007, 2859, 1012, 2036, 1010, 2004, 4262, 2007, 6629, 2018, 2042, 6802, 2144, 2148, 4420, 1521, 1055, 5069, 1997, 8041, 4262, 2007, 2859, 1999, 2826, 1010, 2148, 4420, 2323, 1010, 2011, 9229, 4262, 2007, 6629, 1010, 6148, 1037, 2691, 3921, 2007, 6629, 2000, 4607, 1996, 2822, 3006, 1012, 6629, 2739, 7009, 2008, 2009, 2323, 2272, 2004, 2053, 4474, 2008, 1996, 2406, 2087, 19209, 2011, 3431, 1999, 2892, 1011, 11195, 4262, 2003, 2900, 1010, 2029, 2003, 5667, 4986, 2008, 2151, 11664, 1523, 1520, 6729, 2000, 2028, 2217, 1524, 2011, 6629, 2646, 1996, 26141, 2097, 17010, 1996, 5703, 1997, 2373, 1999, 2264, 4021, 1999, 7211, 1521, 1055, 5684, 1012, 1031, 1529, 1033, 1999, 3327, 1010, 2887, 18288, 2024, 4986, 2008, 1996, 23163, 1997, 1996, 3025, 3447, 1997, 1996, 6629, 1516, 9358, 7277, 3537, 6555, 2283, 1521, 1055, 4013, 1011, 2900, 1998, 3424, 1011, 26141, 11032, 2646, 1996, 5854, 2463, 2102, 2231, 1521, 1055, 9886, 1997, 1037, 1523, 4013, 1011, 2859, 1998, 3424, 1011, 2900, 1524, 11032, 2071, 2031, 3809, 13494, 2005, 2900, 1521, 1055, 27737, 5426, 1999, 1996, 6629, 11195, 1998, 2089, 5587, 3635, 2000, 1996, 1523, 2859, 5387, 1524, 1999, 5522, 1521, 1055, 3343, 1516, 2437, 4953, 6629, 1012, 2130, 2065, 8802, 2323, 2022, 28616, 28940, 27428, 2182, 1010, 2023, 4861, 5121, 11138, 7211, 1521, 1055, 2597, 1012, 1998, 2009, 2089, 8339, 1037, 20868, 2890, 14028, 7028, 9874, 1997, 6629, 3048, 2046, 2859, 1521, 1055, 8753, 1012, 2021, 2023, 3475, 1521, 1056, 2069, 2039, 2000, 2859, 1012, 2061, 2521, 1010, 2900, 1521, 1055, 1010, 2637, 1521, 1055, 1010, 1998, 2763, 3071, 1521, 1055, 2364, 5142, 3849, 2000, 2031, 2042, 2025, 2000, 4487, 13102, 19738, 3366, 7211, 1012, 14925, 7011, 2323, 2022, 3191, 2004, 1037, 4742, 2008, 5599, 6629, 2091, 2052, 2272, 2012, 1037, 3976, 1010, 2074, 2004, 2092, 1012, 3061, 2011, 2070, 7191, 6481, 2097, 2022, 17047, 1012, 2021, 1999, 1996, 2203, 1010, 1996, 5366, 1997, 8210, 6728, 6442, 19496, 6491, 2052, 2022, 2172, 3618, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2055, 2382, 2244, 2268, 3002, 11120, 1010, 2040, 1005, 1055, 3986, 2057, 8439, 2651, 1010, 2003, 3383, 2190, 2124, 2005, 2010, 5449, 1997, 1996, 6331, 2046, 3763, 1006, 1996, 24728, 27887, 2618, 1007, 1998, 2005, 2010, 6334, 2240, 1010, 1000, 18173, 1997, 1996, 22481, 2003, 18173, 1997, 4828, 1012, 1000, 11120, 2001, 1037, 12807, 3661, 3213, 1010, 2440, 1997, 2116, 2307, 20062, 1998, 21864, 4523, 1012, 2182, 2024, 2074, 1037, 2261, 1045, 2031, 3479, 2005, 2017, 1024, 1000, 2158, 1005, 1055, 3267, 2003, 2107, 2008, 3606, 16958, 8618, 1998, 8242, 3580, 2015, 2024, 19593, 2098, 1000, 1006, 3661, 28712, 1007, 1012, 1000, 5262, 2009, 2003, 4795, 2000, 3413, 6251, 2006, 2178, 1005, 1055, 7947, 1010, 1998, 2000, 3713, 4763, 1997, 1996, 10051, 2003, 1037, 2518, 2025, 8217, 2000, 2022, 28512, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 1045, 2411, 15152, 2094, 2006, 1996, 22481, 2000, 1996, 2190, 1997, 2026, 3754, 1024, 2817, 2716, 2055, 24666, 1010, 24666, 6860, 1010, 6860, 7023, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 1012, 1012, 1012, 2111, 2024, 2062, 3201, 2000, 19337, 3512, 1037, 6925, 2029, 1010, 2295, 6270, 1010, 2027, 2963, 2007, 5165, 1010, 1998, 9075, 2500, 2000, 1999, 15338, 2009, 2065, 2027, 2031, 2025, 2589, 2061, 2525, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 2256, 5448, 1997, 2017, 2003, 2066, 2115, 5448, 1997, 2149, 1010, 1998, 2169, 1999, 2735, 2477, 1996, 2060, 9577, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 2292, 2068, 2113, 2149, 1031, 11646, 1033, 2004, 7216, 2545, 1999, 2037, 14038, 2015, 2738, 2084, 2004, 6368, 1999, 2037, 2420, 1997, 14165, 1000, 1006, 3661, 5622, 2072, 1007, 1012, 1000, 2689, 2115, 2293, 1997, 13016, 2015, 1998, 15565, 1998, 6953, 14464, 2000, 1037, 4792, 2005, 5896, 11137, 3716, 1000, 1006, 3661, 22135, 1007, 1012, 1000, 1996, 2227, 2003, 1996, 5259, 1997, 1996, 2568, 1010, 1998, 2159, 2302, 4092, 18766, 1996, 7800, 1997, 1996, 2540, 1000, 1006, 3661, 22135, 1007, 1012, 1000, 1045, 9655, 2000, 2963, 2010, 6925, 1010, 1998, 2011, 4223, 5228, 2521, 2062, 2084, 1045, 2071, 2007, 2616, 1000, 1006, 3661, 1039, 2595, 5737, 2072, 1007, 1012, 1000, 3510, 2003, 1037, 21298, 2005, 1996, 2911, 13088, 11012, 2098, 1010, 1037, 19519, 2008, 2089, 2012, 2560, 9526, 1037, 2919, 2927, 1000, 1006, 3661, 1039, 2595, 5737, 2072, 1007, 1012, 1000, 2498, 2003, 19366, 2084, 1996, 3017, 1010, 2005, 2000, 2032, 2003, 5763, 1996, 2983, 1997, 6014, 1024, 2498, 2003, 2062, 2000, 4014, 1011, 6247, 1010, 2005, 2296, 2154, 2002, 3632, 1999, 5473, 1997, 2010, 2166, 1012, 2498, 2003, 6428, 2084, 2002, 2003, 1010, 2005, 2002, 10911, 2015, 2058, 1996, 6548, 1024, 2498, 2003, 15863, 1010, 2005, 2002, 2003, 11438, 2011, 1996, 5771, 1000, 1006, 3661, 1039, 20348, 2615, 1007, 1012, 1000, 2065, 1996, 10310, 1997, 2023, 2088, 13595, 2107, 20398, 2000, 7180, 2012, 21888, 1998, 4458, 26768, 1010, 1998, 2044, 6224, 2068, 1999, 1996, 12930, 1997, 16796, 2562, 2068, 2012, 1996, 3891, 1997, 2037, 3268, 1010, 2054, 2323, 2025, 4828, 1005, 1055, 6432, 2079, 2040, 15187, 2035, 2002, 2038, 2000, 4965, 1996, 7247, 1997, 2307, 3976, 1010, 1998, 2007, 2010, 2878, 9415, 23311, 1037, 2492, 2008, 2002, 2089, 2424, 2045, 2378, 1037, 8813, 2029, 4445, 12383, 2064, 10667, 2039, 4496, 27307, 4287, 2185, 1000, 1006, 3661, 1039, 20348, 2615, 1007, 1029, 2045, 2003, 1037, 3327, 6019, 2005, 2029, 1045, 2572, 2559, 1012, 2065, 1045, 2424, 2009, 1010, 1045, 2097, 2695, 2065, 2005, 2017, 2101, 3892, 1012, 2654, 2244, 2268, 2074, 1037, 2261, 5312, 3283, 2028, 1997, 2026, 2280, 2493, 1998, 4715, 2867, 26610, 2033, 1999, 1037, 3602, 2002, 6866, 2006, 9130, 1997, 2019, 3720, 2002, 2626, 2005, 1996, 3076, 3780, 1010, 1996, 28628, 11286, 1012, 2002, 2626, 1024, 1045, 2001, 5825, 2067, 2000, 2026, 2817, 2534, 1010, 2044, 2183, 2000, 2404, 2070, 19453, 2185, 1010, 2043, 1045, 2787, 1045, 1521, 1040, 2156, 2065, 10424, 1012, 8108, 2078, 2001, 2105, 2000, 2074, 6865, 2041, 1998, 2831, 2007, 2032, 1012, 1037, 2261, 4084, 2101, 1045, 3030, 1010, 9301, 2008, 10424, 1012, 8108, 2078, 2001, 2908, 1012, 2053, 2062, 6721, 7592, 2015, 1999, 1996, 6797, 1010, 2053, 2062, 7433, 2252, 2399, 1010, 2053, 2062, 4715, 3218, 2007, 2032, 2004, 3353, 2873, 999, 2009, 2453, 2025, 2031, 3047, 2000, 2017, 2664, 1010, 2021, 2017, 1521, 2222, 2763, 1523, 5382, 1524, 2008, 13008, 1040, 2038, 2187, 8811, 2574, 1010, 2066, 2043, 2017, 2156, 2619, 5948, 1037, 2064, 1997, 2852, 1012, 11565, 1010, 2175, 2000, 4521, 2012, 6901, 3748, 4777, 1010, 2030, 2043, 2017, 2175, 2000, 2277, 1012, 2053, 2028, 2359, 2000, 2507, 2032, 2039, 1010, 2021, 2002, 2018, 2000, 2175, 1012, 2130, 2295, 2002, 1521, 1055, 2908, 1010, 1996, 2051, 2002, 2985, 2007, 2149, 2001, 1996, 4602, 999, 2002, 2001, 1037, 2307, 5011, 1010, 1998, 2019, 2130, 2488, 2767, 1012, 2065, 2017, 1521, 2128, 2412, 3110, 1996, 1523, 13008, 1040, 5132, 1524, 1010, 2045, 1521, 1055, 2467, 3793, 2075, 1010, 3042, 4455, 1010, 9130, 1010, 1998, 6819, 18246, 2003, 2069, 1016, 2847, 2185, 2065, 2017, 2031, 2051, 2000, 3942, 1012, 2057, 2113, 2002, 1521, 2222, 2079, 2092, 1999, 6819, 18246, 1010, 1998, 11504, 2002, 1521, 2222, 2272, 2067, 2000, 3942, 1041, 15379, 5603, 3286, 2200, 2411, 999, 2562, 2032, 1999, 2115, 12583, 1998, 4604, 2032, 1037, 3793, 2000, 2360, 2204, 6735, 999, 1045, 2123, 1005, 1056, 2113, 2054, 2000, 2360, 1012, 1045, 2079, 3335, 2216, 4268, 1012, 1045, 6814, 2008, 1005, 1055, 1037, 2959, 5592, 1996, 2935, 2741, 2026, 2126, 2651, 1012, 2216, 12369, 3993, 10104, 2015, 2031, 2019, 6581, 2695, 2006, 2028, 1997, 2026, 5440, 21560, 1024, 7327, 6494, 11880, 2401, 1012, 2009, 1005, 1055, 2028, 1997, 1996, 4436, 1045, 2145, 13583, 2185, 2005, 4715, 2399, 1010, 2004, 1045, 3246, 2000, 2079, 2153, 4826, 1010, 1998, 2672, 2130, 2006, 9432, 1010, 2205, 1012, 2065, 2017, 4033, 1005, 1056, 3191, 9395, 10958, 28989, 1005, 1055, 2338, 2158, 2012, 2377, 1024, 2030, 2106, 2017, 2412, 3218, 7327, 6494, 11880, 2401, 1010, 2085, 1005, 1055, 1037, 2204, 2051, 2000, 2079, 2061, 1012, 2023, 3944, 1045, 2018, 1996, 5165, 1997, 9530, 22776, 2153, 1996, 2280, 3583, 5446, 2473, 1012, 2044, 17942, 2037, 2506, 2326, 1011, 1998, 4909, 27352, 10960, 1011, 1045, 2097, 2022, 3407, 2000, 2128, 29098, 25785, 2169, 1997, 1996, 2372, 1006, 1999, 1996, 2851, 1007, 1012, 1045, 5254, 2023, 2138, 1996, 2935, 2038, 2741, 2048, 2307, 9604, 2026, 2126, 2651, 1012, 1996, 2034, 2234, 1999, 1996, 2851, 1997, 2019, 11255, 2013, 1996, 2436, 1997, 1996, 3040, 1997, 1996, 19246, 12035, 1997, 1996, 4259, 21179, 13355, 1012, 1999, 2009, 2001, 2026, 7281, 2000, 2393, 2007, 1996, 4353, 1997, 4151, 15661, 2076, 1996, 3742, 1997, 9330, 3989, 1997, 10190, 12587, 1997, 9587, 29027, 4886, 1012, 4326, 2004, 2009, 2089, 4025, 1010, 1996, 3116, 1997, 1996, 5446, 2473, 2003, 1996, 2117, 1997, 2122, 2048, 2307, 9604, 1012, 2009, 2003, 1037, 2177, 1997, 2111, 3005, 9866, 1998, 8606, 1045, 2097, 6148, 12192, 1998, 2027, 2031, 1011, 1999, 2069, 3116, 1011, 7645, 1996, 12353, 1012, 2027, 2024, 9461, 2000, 2393, 1998, 2031, 3253, 2054, 2003, 1011, 1999, 2026, 8689, 1011, 2200, 2204, 9517, 1012, 1998, 2085, 1045, 2097, 2485, 1996, 2154, 2007, 2353, 2204, 5592, 1024, 1037, 4605, 1997, 4840, 7222, 23804, 1012, 2043, 1045, 2001, 1999, 1041, 15379, 5603, 3286, 2028, 1997, 1996, 24037, 2435, 2033, 1037, 4151, 4003, 2008, 1045, 3728, 26733, 1012, 2009, 4136, 1996, 4766, 2466, 1997, 1996, 7947, 1997, 2643, 4079, 3158, 9353, 5484, 2368, 1010, 1051, 1012, 1042, 1012, 1049, 1012, 1010, 2040, 3133, 1996, 19420, 2344, 1999, 8915, 16161, 17699, 1998, 2351, 1999, 1041, 15379, 5603, 3286, 1024, 1996, 5066, 2775, 1999, 1037, 2155, 1997, 4376, 2336, 1010, 5623, 3158, 9353, 5484, 2368, 2001, 2141, 2012, 15462, 1010, 8506, 1010, 2006, 2337, 2459, 1010, 4271, 1012, 2130, 2004, 1037, 2879, 2002, 2768, 2041, 2011, 3114, 1997, 2010, 4382, 1997, 7083, 1998, 2010, 2293, 1997, 2256, 2935, 1999, 1996, 10190, 28958, 1012, 2044, 7678, 1996, 3694, 2082, 1010, 2002, 2359, 2000, 2175, 2000, 1996, 19420, 13485, 8705, 2012, 6116, 9566, 1010, 4307, 1025, 2021, 2002, 2018, 2107, 1037, 2524, 2051, 2007, 2010, 2913, 2008, 2002, 2001, 2409, 2000, 3926, 2152, 2082, 2034, 1012, 1999, 2244, 1010, 4266, 1010, 2002, 2001, 4914, 2000, 1996, 13485, 8705, 1998, 2587, 1996, 2959, 1011, 2095, 2493, 1012, 2021, 2011, 4234, 2002, 3651, 2008, 2002, 2106, 2025, 2031, 7182, 5848, 2000, 7323, 1996, 3223, 2913, 2005, 1996, 17911, 1010, 1998, 2002, 4162, 2005, 9634, 2004, 1037, 19420, 3913, 2567, 1012, 2646, 1996, 2203, 1997, 2254, 1010, 4347, 1010, 2002, 2001, 2741, 2000, 2358, 1012, 3312, 9208, 8705, 1010, 8915, 16161, 17699, 1010, 4307, 1010, 1998, 2001, 11241, 2004, 1037, 2353, 2344, 2567, 2055, 1037, 3204, 2101, 1010, 4909, 1996, 2171, 1997, 2567, 4079, 1012, 2010, 10792, 2318, 2000, 8572, 2032, 2055, 1037, 2095, 2044, 2002, 3369, 2012, 8915, 16161, 17699, 1010, 1998, 2002, 2211, 2000, 3328, 2007, 1037, 7263, 14401, 1012, 2574, 5728, 1010, 1996, 15291, 2150, 2205, 9145, 1998, 2002, 2071, 20071, 3328, 1012, 2002, 2001, 2579, 2000, 2358, 1012, 4938, 2902, 1999, 3518, 1041, 15379, 5603, 3286, 1998, 2363, 13441, 2005, 1037, 3204, 1010, 2021, 2010, 10792, 3478, 2000, 6869, 1012, 2002, 2513, 2000, 1996, 8705, 2006, 13675, 4904, 8376, 1010, 1998, 2001, 7936, 2000, 2191, 2010, 9518, 2004, 1037, 2353, 2344, 2567, 2006, 2233, 1018, 1010, 4260, 1012, 1996, 2279, 2154, 2002, 2187, 2005, 2358, 1012, 3434, 2000, 23363, 1037, 8325, 1012, 2044, 2093, 3134, 2002, 2234, 2067, 1010, 2010, 10792, 1999, 1037, 3459, 1012, 1996, 14392, 2001, 15877, 1997, 1996, 5923, 1012, 2574, 2010, 2236, 2740, 2211, 2000, 8246, 1012, 2006, 1996, 2197, 2154, 1997, 2258, 2002, 2253, 2000, 1996, 2902, 1999, 1041, 15379, 5603, 3286, 1012, 2045, 1996, 7435, 2179, 2008, 2002, 2018, 25624, 4691, 8381, 1998, 2435, 2032, 2069, 1037, 2460, 2051, 2000, 2444, 1012, 2567, 4079, 1005, 1055, 4650, 2855, 3473, 4788, 1010, 1998, 2002, 2001, 2019, 25785, 2098, 2006, 1996, 4369, 2154, 2044, 2010, 5508, 2012, 1996, 2902, 1012, 1996, 2279, 2261, 2420, 2010, 3997, 3478, 5901, 1012, 2055, 2702, 1051, 1005, 5119, 2006, 1996, 2305, 1997, 2089, 2184, 1010, 2096, 1996, 2905, 2006, 2305, 4611, 2001, 2007, 2032, 1010, 2010, 7036, 3969, 14462, 2049, 2126, 2000, 6014, 1012, 2295, 2002, 2001, 2069, 1037, 2353, 2344, 2567, 2005, 2210, 2062, 2084, 1037, 2095, 1010, 2567, 4079, 2038, 4227, 1037, 3618, 5891, 2004, 1037, 3002, 1998, 6970, 9623, 21748, 1999, 6014, 2084, 2151, 2060, 10181, 2266, 1997, 1996, 19420, 2874, 1997, 1996, 6730, 2540, 1012, 2076, 2010, 7355, 1998, 6114, 2053, 2028, 2657, 2019, 17380, 2773, 4019, 2010, 2970, 1025, 1998, 2002, 2196, 7024, 14488, 1012, 2010, 11559, 2868, 2196, 5078, 2125, 1012, 2010, 2307, 2791, 5031, 1999, 2725, 1996, 2210, 2477, 2092, 1011, 2725, 2068, 2007, 9313, 1998, 2467, 18350, 19732, 1010, 22625, 1010, 5952, 1010, 11752, 1010, 1998, 11345, 3723, 1012, 1000, 2108, 2081, 3819, 1999, 1037, 2460, 2686, 1010, 2002, 16829, 1037, 2146, 2051, 1000, 1006, 9866, 1018, 1010, 2410, 1007, 1012, 2004, 2009, 2001, 2567, 4079, 1005, 1055, 12208, 2000, 2393, 2500, 1999, 2166, 1010, 2061, 2002, 2038, 2506, 2000, 2393, 2500, 1999, 1037, 9487, 5450, 2036, 2044, 2010, 2331, 1012, 7601, 17897, 16670, 21191, 2031, 2042, 2988, 1998, 7108, 2000, 2010, 6970, 9623, 10992, 1012, 13939, 2438, 2567, 4079, 2003, 8550, 1037, 3652, 5891, 2004, 1037, 11743, 1005, 20138, 1998, 1037, 2393, 2121, 1999, 3361, 8190, 1012, 21191, 2024, 2988, 2036, 2013, 5305, 5381, 2040, 2031, 4227, 2740, 2030, 2035, 6777, 18963, 2013, 5665, 2740, 2083, 1037, 13292, 8189, 2081, 1999, 2010, 3932, 1012, 2065, 2017, 2031, 1037, 2569, 7083, 5227, 1010, 2339, 2025, 3198, 2567, 4079, 2005, 1996, 2393, 1997, 2010, 12583, 1029, 1045, 2097, 3198, 2010, 5375, 2023, 2851, 2005, 1037, 3076, 4986, 2055, 2635, 2010, 4676, 3231, 2651, 1012, 2045, 2003, 1037, 13292, 8189, 4851, 2567, 4079, 1005, 1055, 6970, 9623, 10992, 1024, 1051, 2935, 1010, 1999, 2122, 2420, 16726, 9293, 2024, 9012, 2075, 2005, 5165, 1998, 16475, 16777, 2011, 22040, 1010, 1998, 10214, 2000, 17738, 17457, 3209, 2000, 2202, 2039, 2115, 2892, 1998, 3582, 2017, 1010, 2017, 2031, 2992, 1999, 2256, 12930, 2567, 4079, 1010, 2040, 2076, 2010, 2460, 2166, 2921, 2010, 2159, 2006, 2115, 6896, 1998, 1010, 14120, 2000, 2115, 2655, 1010, 2435, 2370, 2000, 2017, 1012, 5028, 2007, 2023, 9987, 1997, 5952, 1998, 4382, 1997, 14916, 24101, 1999, 1037, 2088, 1997, 13749, 8609, 18679, 1010, 2017, 2031, 14866, 19225, 1010, 1051, 2935, 1010, 4593, 2004, 1037, 3696 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1001, 1001, 1001, 1001, 1001, 1001, 12654, 3482, 1011, 4279, 2024, 2411, 9996, 2920, 1999, 1996, 4041, 1998, 7375, 1997, 19388, 1010, 2664, 2037, 8426, 2003, 8050, 2000, 2491, 8293, 2015, 1999, 2035, 1996, 12335, 1012, 1011, 3060, 3032, 2024, 14120, 2000, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 2007, 5761, 2107, 2004, 9259, 1997, 2929, 1997, 2111, 1010, 2188, 21551, 2015, 1998, 2163, 1997, 5057, 2107, 2004, 2561, 2030, 7704, 5843, 7698, 2015, 1012, 1011, 2021, 8332, 7860, 1998, 24728, 19666, 6906, 14680, 1997, 2740, 3001, 1998, 1996, 2092, 1011, 2108, 1997, 2111, 4119, 1996, 9920, 1998, 12646, 2007, 2023, 7427, 1997, 5761, 1012, 1011, 8220, 20215, 2013, 14120, 2000, 1041, 24290, 8293, 2015, 1999, 3088, 1006, 2297, 1011, 1011, 2355, 1998, 2760, 1011, 1011, 12609, 1007, 2064, 12919, 2451, 8147, 2000, 11598, 1996, 2451, 6095, 1997, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 3433, 1012, 1011, 2057, 2556, 2184, 8220, 20215, 2013, 14120, 2000, 1041, 24290, 2008, 3060, 3032, 2323, 2855, 15581, 1999, 2037, 3433, 2000, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 1010, 8419, 1024, 1036, 1036, 1036, 1063, 1027, 16129, 1065, 1026, 999, 1011, 1011, 1011, 1011, 1028, 1036, 1036, 1036, 1011, 9125, 2591, 6529, 2220, 1999, 1996, 3433, 1025, 1011, 11240, 24411, 2063, 2155, 4177, 2005, 9867, 1010, 2553, 10788, 1010, 3967, 8720, 1998, 3582, 1011, 2039, 1998, 24209, 20486, 10196, 1025, 1011, 7438, 10402, 2007, 13372, 1998, 1996, 26452, 2027, 10107, 1025, 1011, 10639, 5911, 3463, 13364, 1025, 1011, 2729, 2005, 1996, 8949, 5665, 1010, 2096, 8498, 2155, 7264, 1025, 1011, 4652, 26453, 7315, 3370, 1997, 2111, 1998, 1996, 2945, 1997, 2216, 2040, 8980, 1025, 1011, 13024, 2334, 3095, 1999, 1996, 3433, 1998, 9125, 2334, 2111, 2000, 3857, 3433, 5090, 1025, 1011, 11240, 24411, 2063, 1998, 9125, 13070, 4279, 1999, 1996, 3433, 2000, 9462, 24116, 1025, 1011, 9125, 5568, 1011, 6147, 4177, 1999, 1996, 7547, 1998, 7375, 1997, 3433, 5761, 1025, 1011, 11240, 24411, 2063, 2865, 2867, 1010, 2164, 2591, 2865, 6125, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 12654, 3482, 1011, 2740, 5889, 1010, 2451, 4177, 1998, 4279, 2442, 2522, 1011, 9570, 7047, 2005, 2522, 17258, 1011, 2539, 3433, 2008, 2024, 11701, 1010, 1998, 22945, 1010, 1998, 6469, 8426, 1997, 5360, 4279, 1012, 1011, 2023, 3921, 4455, 2005, 2019, 13661, 20680, 5670, 2013, 1037, 9197, 20906, 3921, 2000, 8293, 3433, 2000, 2028, 2008, 5703, 2015, 20906, 1998, 2591, 2671, 8107, 1012, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2076, 2270, 2740, 26360, 1010, 2107, 2004, 1996, 2783, 2522, 17258, 1011, 2539, 2270, 2740, 5057, 1997, 2248, 5142, 1010, 4279, 2024, 2411, 9996, 2920, 1999, 1996, 4041, 1998, 7375, 1997, 19388, 1010, 2664, 2037, 8426, 2003, 8050, 2000, 2491, 8293, 2015, 1012, 3060, 3032, 2024, 14120, 2000, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 2007, 25986, 2270, 2740, 5761, 2107, 2004, 2163, 1997, 5057, 1998, 2593, 2561, 2030, 7704, 5843, 7698, 2015, 1012, 2035, 1996, 3032, 3745, 2714, 8332, 7860, 1998, 24728, 19666, 6906, 14680, 1010, 2164, 1998, 2025, 3132, 2000, 5410, 2740, 3001, 1010, 2019, 11900, 4610, 1010, 2007, 2062, 2084, 2431, 1996, 2313, 1005, 2437, 2079, 1005, 2030, 1005, 2893, 2011, 2154, 2011, 2154, 1005, 1998, 2542, 2013, 2192, 2000, 2677, 1012, 2122, 24728, 19666, 6906, 14680, 4119, 1996, 9920, 1998, 12646, 1997, 1996, 7427, 1997, 25986, 2740, 5761, 1012, 1996, 8332, 11251, 1997, 2740, 3001, 1999, 3088, 2965, 2008, 2261, 11321, 5665, 5022, 2097, 2031, 3229, 2000, 2966, 2729, 1999, 11806, 2729, 3197, 1998, 1996, 2785, 1997, 2966, 2974, 2800, 1999, 2122, 4128, 1012, 10723, 3659, 1997, 8985, 2003, 6827, 1012, 2004, 1037, 2765, 1010, 4359, 2591, 10266, 1998, 3445, 3558, 4487, 12693, 6129, 2024, 1037, 2430, 2112, 1997, 2116, 2270, 2740, 9942, 1998, 2023, 5942, 2522, 1011, 15696, 1997, 7300, 2008, 2024, 11701, 1998, 22945, 1010, 1998, 2008, 6469, 8426, 1997, 5360, 4279, 1012, 8220, 20215, 2013, 1041, 24290, 8293, 3433, 1999, 2225, 3088, 1998, 2087, 3728, 1999, 1996, 3537, 3072, 1997, 9030, 2031, 7645, 2008, 1996, 2522, 1011, 2810, 1997, 17522, 29415, 7300, 2038, 6469, 2098, 8426, 1997, 5360, 4279, 1998, 2038, 4594, 1999, 20226, 2451, 8147, 1998, 6095, 1997, 1996, 3433, 1012, 2451, 8147, 1998, 2522, 1011, 2810, 2024, 2048, 21053, 21951, 1024, 1996, 2034, 2108, 1996, 2203, 1997, 1037, 2832, 1010, 1998, 1996, 2117, 2108, 1996, 4118, 2030, 4084, 2000, 6162, 1037, 9059, 3125, 1012, 6322, 1997, 2451, 8147, 1998, 2522, 1011, 2810, 2076, 1041, 24290, 3433, 2031, 3491, 2008, 2043, 4279, 2020, 2920, 1999, 3291, 4106, 1998, 2522, 1011, 2810, 1997, 7300, 1010, 2027, 2165, 6095, 1997, 1996, 3433, 19388, 1998, 5462, 2000, 4073, 2000, 13730, 1996, 16311, 1012, 2057, 7680, 7849, 5562, 2182, 1010, 2104, 2184, 3144, 8220, 20215, 2013, 1041, 24290, 1010, 10960, 2008, 2064, 12919, 2451, 8147, 1999, 1996, 2954, 2114, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 1010, 1998, 4919, 2007, 4847, 2000, 12646, 2007, 2110, 1997, 5057, 5761, 1010, 2164, 7704, 2030, 2561, 5843, 7698, 2015, 1012, 10800, 1015, 1024, 9125, 2591, 6529, 2220, 1999, 1996, 3433, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2076, 5057, 3433, 1010, 2591, 2671, 8519, 3288, 3563, 11532, 1999, 20302, 7274, 2075, 1996, 10949, 1997, 5889, 1998, 4279, 5117, 1999, 1996, 3433, 1999, 2037, 2591, 1010, 3451, 1010, 3439, 1010, 2576, 1998, 3171, 18046, 1012, 1031, 1030, 1054, 2487, 1033, 1999, 2023, 2126, 1010, 2591, 6529, 2064, 3857, 7346, 2030, 10956, 7982, 1999, 10368, 8146, 1012, 2582, 1010, 2591, 6529, 2064, 10956, 1996, 2522, 1011, 2810, 1997, 20547, 1998, 4958, 5178, 4328, 10091, 2135, 6413, 7300, 1998, 2417, 12879, 3170, 19388, 2005, 3445, 2451, 6095, 1012, 1999, 2023, 2126, 1010, 3433, 5761, 2064, 4070, 2062, 3929, 2005, 1996, 2529, 3325, 1010, 1998, 5547, 4022, 2005, 4895, 18447, 21945, 3176, 6114, 2000, 4279, 1010, 2070, 1997, 2029, 2089, 2022, 4078, 2696, 27965, 2098, 2011, 3571, 1997, 4295, 1010, 2331, 1998, 4736, 9740, 1012, 2045, 2003, 2411, 1037, 28616, 8663, 24422, 2055, 1996, 24004, 6914, 20175, 2100, 1997, 4279, 1012, 2451, 8147, 4627, 2013, 1996, 18458, 2008, 2451, 2967, 2024, 21770, 10624, 6914, 14769, 1998, 2008, 1996, 8906, 1997, 10740, 1998, 17522, 29415, 15251, 2442, 4070, 2005, 11701, 7300, 2000, 2022, 2764, 1012, 16311, 2015, 2411, 2128, 10830, 7520, 2214, 20234, 2015, 1998, 9755, 2306, 1998, 2090, 4279, 1012, 2122, 9755, 2064, 19762, 7461, 1996, 3112, 1997, 2270, 2740, 19388, 1998, 10654, 4842, 2037, 6095, 2011, 4279, 1012, 2000, 2424, 20271, 11701, 7300, 1010, 6869, 2545, 2442, 4070, 2005, 1996, 4310, 1998, 9426, 15251, 1997, 5360, 4279, 1998, 2022, 2330, 2000, 4531, 14477, 28228, 19879, 3064, 1998, 1010, 2012, 2335, 1010, 9223, 7300, 1012, 10800, 1016, 1024, 11240, 24411, 2063, 2155, 4177, 2005, 9867, 1010, 2220, 2553, 10788, 1010, 3967, 8720, 1998, 3582, 1011, 2039, 1010, 1998, 24209, 20486, 10196, 1063, 1001, 1055, 2509, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2220, 2553, 10788, 1010, 3967, 16907, 1010, 2004, 2092, 2004, 3967, 24209, 20486, 10196, 5478, 1996, 8426, 1997, 2945, 1998, 2451, 4177, 1025, 2122, 19388, 2064, 3209, 2022, 1005, 6355, 1998, 4078, 2696, 14454, 6026, 1005, 1998, 14563, 1997, 2610, 2160, 6545, 1012, 5994, 1996, 2132, 1997, 1996, 2155, 1010, 2005, 2742, 1010, 2040, 2003, 1996, 10802, 1998, 3625, 2005, 8650, 1996, 2155, 1010, 21312, 1037, 3737, 6970, 4135, 12690, 2953, 2040, 2038, 1996, 2373, 2000, 11240, 24411, 2063, 2155, 2372, 1012, 2076, 1041, 24290, 1010, 2130, 1999, 8146, 1997, 6034, 21662, 2000, 3582, 1011, 2039, 10402, 1010, 2009, 2001, 6179, 2000, 11240, 24411, 2063, 1037, 2155, 3003, 2000, 2202, 2006, 2023, 4708, 2007, 2010, 2155, 1012, 2011, 2478, 2010, 4611, 2000, 4047, 1010, 2002, 2001, 2583, 2000, 3582, 1011, 2039, 2010, 2155, 1032, 1005, 1055, 10402, 7919, 1998, 2007, 1996, 3404, 1997, 1996, 9867, 2780, 1012, 10800, 1017, 1024, 7438, 3967, 5381, 2007, 13372, 1998, 1996, 26452, 2027, 10107, 1063, 1001, 1055, 2549, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 10402, 2442, 2022, 5845, 2007, 13372, 1998, 2025, 2004, 1005, 9530, 15464, 19185, 5739, 1005, 1012, 7539, 1997, 2037, 2173, 1999, 1996, 2591, 12571, 1010, 2037, 2689, 1997, 3570, 2349, 2000, 10928, 1997, 4295, 8509, 2037, 3570, 2030, 2173, 1999, 1996, 2155, 1998, 1013, 2030, 2451, 2012, 3891, 1012, 2009, 2003, 2590, 2000, 2275, 2039, 1037, 7337, 2000, 10956, 4807, 2090, 1996, 10402, 1999, 24209, 20486, 10196, 1998, 2037, 2155, 1010, 2004, 2092, 2004, 3229, 2000, 3737, 18224, 6499, 13247, 2729, 3024, 2011, 8519, 2040, 3713, 2037, 2653, 1012, 24209, 20486, 10196, 4128, 2323, 2022, 8242, 1010, 18834, 11733, 3064, 1998, 2007, 2377, 2752, 2000, 4070, 2005, 2235, 2336, 1010, 2065, 2825, 1012, 9308, 1010, 2009, 2003, 2590, 2000, 5676, 2008, 12278, 2005, 2111, 1999, 24209, 20486, 10196, 2024, 2488, 2084, 2216, 3024, 2011, 2037, 2945, 1010, 2947, 2035, 6777, 15370, 1996, 19686, 3325, 1997, 24209, 20486, 10196, 1012, 3325, 2013, 3025, 16311, 2015, 11637, 2129, 7052, 2000, 2122, 2015, 5919, 2003, 4187, 2000, 4652, 12976, 1998, 5326, 9920, 1997, 24209, 20486, 10196, 1012, 2065, 4219, 9146, 1010, 2009, 2003, 4748, 11365, 3085, 2000, 3073, 2070, 3176, 1005, 18452, 1005, 2107, 2004, 8974, 1010, 7967, 2015, 1010, 16324, 1998, 22163, 2005, 1996, 2336, 1997, 2216, 1999, 24209, 20486, 10196, 10800, 1018, 1024, 10639, 5911, 3463, 13364, 2000, 1996, 5776, 1063, 1001, 1055, 2629, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 11616, 1997, 2522, 17258, 1011, 2539, 1010, 2066, 2008, 1997, 1041, 24290, 1010, 5942, 13964, 2011, 1037, 6897, 3231, 1011, 1011, 1011, 19387, 1011, 7473, 2099, 1006, 1037, 4118, 1997, 8382, 7366, 1007, 1011, 1011, 1011, 2029, 3138, 2012, 2560, 1018, 2847, 2000, 3143, 1012, 2794, 2000, 2023, 2003, 1996, 2051, 2734, 2000, 19818, 1996, 3463, 2000, 8519, 1010, 1996, 4614, 1998, 2633, 2000, 1996, 5776, 1012, 2004, 1037, 2765, 1010, 5022, 2089, 2069, 2113, 1996, 2765, 1997, 1996, 3231, 2044, 2484, 2847, 1999, 3923, 2752, 1998, 2823, 2936, 1999, 3541, 2752, 1012, 2005, 1996, 5776, 1998, 2155, 2023, 3403, 2558, 2003, 3561, 2007, 12503, 1010, 4786, 20461, 1998, 10089, 1012, 2009, 2003, 6118, 6749, 2000, 5323, 1037, 5915, 2832, 2005, 20888, 1996, 3463, 2000, 7435, 1999, 1996, 2492, 2000, 15804, 1996, 10089, 1997, 1996, 5022, 1998, 2037, 2945, 1998, 2000, 17820, 1996, 9474, 2270, 2740, 4506, 2200, 2855, 1012, 10800, 1019, 1024, 2729, 2005, 1996, 8949, 5665, 1998, 5441, 2155, 7264, 1063, 1001, 1055, 2575, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1000, 2077, 1045, 2175, 2151, 2582, 1010, 2292, 2033, 2110, 7861, 21890, 25084, 2008, 1045, 2572, 2025, 2041, 2000, 4487, 4757, 6692, 3207, 3087, 2013, 4147, 1037, 7997, 10412, 1012, 2348, 1045, 2572, 2055, 2000, 4671, 2026, 10617, 2008, 1996, 8866, 2055, 22674, 2411, 2024, 28616, 18447, 2121, 28139, 3064, 1010, 1045, 2903, 2008, 22674, 9530, 7512, 2070, 5793, 3808, 6666, 1998, 2008, 2045, 1521, 1055, 1037, 3056, 9866, 2000, 4147, 2028, 1012, 1000, 2023, 2515, 2025, 2614, 2066, 2619, 4129, 2017, 2025, 2000, 4929, 1037, 10412, 1010, 2105, 2237, 2030, 4728, 1012, 14686, 12455, 2040, 2123, 1005, 1056, 2113, 2488, 2089, 3191, 2010, 5448, 1006, 1037, 2280, 12170, 5666, 20464, 2075, 3559, 2130, 1007, 1998, 3653, 23545, 2008, 1037, 10412, 2003, 14203, 2138, 1997, 1037, 2261, 7275, 1010, 4895, 21572, 8159, 2913, 1012, 2027, 2453, 1012, 1012, 1012, 2065, 2027, 2031, 3532, 3752, 26683, 4813, 2030, 2069, 3191, 1996, 2516, 1012, 14686, 19597, 1045, 2179, 2010, 6685, 3701, 2108, 2008, 1024, 10165, 3808, 2003, 2428, 2648, 1996, 2491, 1997, 21912, 1998, 2138, 6853, 2024, 1996, 7117, 3426, 1010, 2045, 1005, 1055, 2053, 3114, 2000, 4929, 1037, 10412, 1012, 2008, 2001, 2025, 2026, 2202, 9497, 2012, 2035, 1012, 2002, 6936, 2129, 2590, 2009, 2003, 2005, 21912, 2000, 2022, 5204, 1997, 2037, 11301, 2138, 2037, 2219, 3808, 2003, 2200, 2172, 2306, 2037, 2491, 1025, 3952, 1999, 1996, 2433, 1997, 9992, 13436, 2083, 7073, 1998, 16476, 1012, 1045, 2245, 1996, 2364, 6685, 2001, 2008, 1996, 2800, 2951, 2515, 2025, 3073, 1996, 15764, 6998, 2008, 2070, 2111, 2228, 2009, 2515, 1998, 2008, 1996, 7778, 3891, 1997, 2025, 4147, 1037, 10412, 2404, 2046, 7339, 2007, 1996, 10831, 2057, 2227, 10126, 2003, 2025, 2004, 17082, 2004, 2070, 2111, 2228, 1012, 14686, 2010, 1005, 6747, 1005, 2024, 29350, 7275, 1012, 1045, 1005, 1049, 7135, 12455, 2052, 2202, 2309, 10017, 1005, 2913, 1005, 2004, 2151, 2785, 1997, 6947, 1010, 3391, 2007, 5717, 6187, 10383, 3508, 2511, 1012, 1045, 2812, 2028, 3124, 5559, 1037, 7997, 2007, 2053, 10412, 1010, 10412, 1010, 1998, 1037, 24405, 2003, 1037, 4758, 7551, 1029, 999, 1029, 3530, 1012, 1045, 2123, 1005, 1056, 2404, 1037, 2843, 1997, 3635, 2046, 1996, 2070, 1997, 1996, 2913, 6563, 1012, 14863, 2106, 1037, 2307, 3105, 1997, 20253, 2070, 1997, 2122, 2913, 1998, 1045, 4299, 1996, 3166, 2018, 2908, 2046, 2070, 1997, 2008, 6987, 1012, 2021, 1999, 1996, 3166, 1005, 1055, 3639, 1010, 2002, 2196, 3591, 2122, 2913, 2004, 1000, 6947, 1000, 1997, 2505, 1012, 14686, 1045, 2123, 1005, 1056, 2066, 1996, 3720, 2138, 2049, 2667, 2000, 9530, 10258, 3686, 4487, 27694, 3686, 16852, 1013, 7860, 2035, 1996, 2096, 3653, 17421, 2075, 6187, 10383, 3508, 1012, 2748, 1010, 6502, 2411, 3791, 7620, 1012, 2061, 2515, 4062, 2495, 1010, 5248, 1010, 1998, 7073, 1012, 4445, 1997, 2216, 3314, 16519, 2008, 2028, 2323, 2030, 5807, 1005, 1056, 4929, 1037, 10412, 1012, 6854, 1010, 1037, 2402, 8068, 2453, 2202, 2185, 1996, 2391, 1006, 3832, 2030, 2025, 1007, 2008, 1037, 10412, 2003, 11809, 1012, 1012, 1012, 2030, 2130, 4788, 2005, 2017, 1012, 2008, 1005, 1055, 1037, 4121, 4487, 18116, 7903, 2063, 1012, 7539, 1997, 6853, 1010, 18419, 1010, 27208, 2015, 1998, 11385, 5258, 2006, 2035, 4925, 2012, 6721, 2335, 1012, 2025, 2469, 2339, 2008, 1005, 4324, 2053, 2300, 1005, 1012, 1045, 1005, 1049, 2469, 2017, 2071, 2298, 2039, 2054, 1996, 6747, 1997, 2122, 27247, 2024, 1012, 1998, 1045, 2052, 11897, 2099, 2027, 2024, 2025, 2019, 17003, 2135, 4678, 14404, 1012, 2153, 1010, 9217, 4062, 4254, 1010, 1037, 10412, 2064, 7461, 2129, 2172, 4053, 2003, 4015, 2000, 2115, 7412, 2323, 2017, 5823, 2004, 1037, 2765, 1997, 2025, 2437, 3967, 2007, 1037, 4062, 1012, 2339, 2052, 2017, 5454, 2000, 2025, 4929, 2028, 1029, 2138, 1037, 4062, 2097, 2085, 2718, 2017, 1029, 1029, 2009, 4324, 2053, 2300, 2138, 2017, 2165, 2019, 6685, 2241, 2006, 6747, 1998, 25416, 12926, 2009, 2007, 1000, 20096, 4148, 1000, 1012, 7539, 1997, 3251, 1996, 2951, 2017, 1005, 2128, 2437, 17568, 2055, 2182, 6526, 1998, 7539, 1997, 3251, 2030, 2025, 2009, 2758, 2054, 2017, 2052, 11897, 2099, 2009, 2000, 2360, 1010, 1000, 20096, 4148, 1000, 2003, 2025, 14044, 1012, 6854, 1010, 2009, 2003, 2129, 2256, 14332, 2191, 6567, 2043, 2009, 3310, 2000, 2477, 2066, 3808, 1012, 1000, 2077, 1045, 2175, 2151, 2582, 1010, 2292, 2033, 2110, 7861, 21890, 25084, 2008, 1045, 2572, 2025, 2041, 2000, 4487, 4757, 6692, 3207, 3087, 2013, 4147, 1037, 7997, 10412, 1012, 2348, 1045, 2572, 2055, 2000, 4671, 2026, 10617, 2008, 1996, 8866, 2055, 22674, 2411, 2024, 28616, 18447, 2121, 28139, 3064, 1010, 1045, 2903, 2008, 22674, 9530, 7512, 2070, 5793, 3808, 6666, 1998, 2008, 2045, 1521, 1055, 1037, 3056, 9866, 2000, 4147, 2028, 1012, 1000, 2023, 2515, 2025, 2614, 2066, 2619, 4129, 2017, 2025, 2000, 4929, 1037, 10412, 1010, 2105, 2237, 2030, 4728, 1012, 14686, 12455, 2040, 2123, 1005, 1056, 2113, 2488, 2089, 3191, 2010, 5448, 1006, 1037, 2280, 12170, 5666, 20464, 2075, 3559, 2130, 1007, 1998, 3653, 23545, 2008, 1037, 10412, 2003, 14203, 2138, 1997, 1037, 2261, 7275, 1010, 4895, 21572, 8159, 2913, 1012, 2027, 2453, 1012, 1012, 1012, 2065, 2027, 2031, 3532, 3752, 26683, 4813, 2030, 2069, 3191, 1996, 2516, 1012, 14686, 19597, 1045, 2179, 2010, 6685, 3701, 2108, 2008, 1024, 10165, 3808, 2003, 2428, 2648, 1996, 2491, 1997, 21912, 1998, 2138, 6853, 2024, 1996, 7117, 3426, 1010, 2045, 1005, 1055, 2053, 3114, 2000, 4929, 1037, 10412, 1012, 2008, 2001, 2025, 2026, 2202, 9497, 2012, 2035, 1012, 2002, 6936, 2129, 2590, 2009, 2003, 2005, 21912, 2000, 2022, 5204, 1997, 2037, 11301, 2138, 2037, 2219, 3808, 2003, 2200, 2172, 2306, 2037, 2491, 1025, 3952, 1999, 1996, 2433, 1997, 9992, 13436, 2083, 7073, 1998, 16476, 1012, 1045, 2245, 1996, 2364, 6685, 2001, 2008, 1996, 2800, 2951, 2515, 2025, 3073, 1996, 15764, 6998, 2008, 2070, 2111, 2228, 2009, 2515, 1998, 2008, 1996, 7778, 3891, 1997, 2025, 4147, 1037, 10412, 2404, 2046, 7339, 2007, 1996, 10831, 2057, 2227, 10126, 2003, 2025, 2004, 17082, 2004, 2070, 2111, 2228, 1012, 14686, 2010, 1005, 6747, 1005, 2024, 29350, 7275, 1012, 1045, 1005, 1049, 7135, 12455, 2052, 2202, 2309, 10017, 1005, 2913, 1005, 2004, 2151, 2785, 1997, 6947, 1010, 3391, 2007, 5717, 6187, 10383, 3508, 2511, 1012, 1045, 2812, 2028, 3124, 5559, 1037, 7997, 2007, 2053, 10412, 1010, 10412, 1010, 1998, 1037, 24405, 2003, 1037, 4758, 7551, 1029, 999, 1029, 3530, 1012, 1045, 2123, 1005, 1056, 2404, 1037, 2843, 1997, 3635, 2046, 1996, 2070, 1997, 1996, 2913, 6563, 1012, 14863, 2106, 1037, 2307, 3105, 1997, 20253, 2070, 1997, 2122, 2913, 1998, 1045, 4299, 1996, 3166, 2018, 2908, 2046, 2070, 1997, 2008, 6987, 1012, 2021, 1999, 1996, 3166, 1005, 1055, 3639, 1010, 2002, 2196, 3591, 2122, 2913, 2004, 1000, 6947, 1000, 1997, 2505, 1012, 14686, 1045, 2123, 1005, 1056, 2066, 1996, 3720, 2138, 2049, 2667, 2000, 9530, 10258, 3686, 4487, 27694, 3686, 16852, 1013, 7860, 2035, 1996, 2096, 3653, 17421, 2075, 6187, 10383, 3508, 1012, 2748, 1010, 6502, 2411, 3791, 7620, 1012, 2061, 2515, 4062, 2495, 1010, 5248, 1010, 1998, 7073, 1012, 4445, 1997, 2216, 3314, 16519, 2008, 2028, 2323, 2030, 5807, 1005, 1056, 4929, 1037, 10412, 1012, 6854, 1010, 1037, 2402, 8068, 2453, 2202, 2185, 1996, 2391, 1006, 3832, 2030, 2025, 1007, 2008, 1037, 10412, 2003, 11809, 1012, 1012, 1012, 2030, 2130, 4788, 2005, 2017, 1012, 2008, 1005, 1055, 1037, 4121, 4487, 18116, 7903, 2063, 1012, 7539, 1997, 6853, 1010, 18419, 1010, 27208, 2015, 1998, 11385, 5258, 2006, 2035, 4925, 2012, 6721, 2335, 1012, 2025, 2469, 2339, 2008, 1005, 4324, 2053, 2300, 1005, 1012, 1045, 1005, 1049, 2469, 2017, 2071, 2298, 2039, 2054, 1996, 6747, 1997, 2122, 27247, 2024, 1012, 1998, 1045, 2052, 11897, 2099, 2027, 2024, 2025, 2019, 17003, 2135, 4678, 14404, 1012, 2153, 1010, 9217, 4062, 4254, 1010, 1037, 10412, 2064, 7461, 2129, 2172, 4053, 2003, 4015, 2000, 2115, 7412, 2323, 2017, 5823, 2004, 1037, 2765, 1997, 2025, 2437, 3967, 2007, 1037, 4062, 1012, 2339, 2052, 2017, 5454, 2000, 2025, 4929, 2028, 1029, 2138, 1037, 4062, 2097, 2085, 2718, 2017, 1029, 1029, 2009, 4324, 2053, 2300, 2138, 2017, 2165, 2019, 6685, 2241, 2006, 6747, 1998, 25416, 12926, 2009, 2007, 1000, 20096, 4148, 1000, 1012, 7539, 1997, 3251, 1996, 2951, 2017, 1005, 2128, 2437, 17568, 2055, 2182, 6526, 1998, 7539, 1997, 3251, 2030, 2025, 2009, 2758, 2054, 2017, 2052, 11897, 2099, 2009, 2000, 2360, 1010, 1000, 20096, 4148, 1000, 2003, 2025, 14044, 1012, 6854, 1010, 2009, 2003, 2129, 2256, 14332, 2191, 6567, 2043, 2009, 3310, 2000, 2477, 2066, 3808, 1012, 2061, 1996, 3720, 2001, 2241, 2006, 6747, 1998, 2664, 2017, 6449, 1996, 6747, 2020, 21068, 1012, 2029, 2003, 2009, 1029, 2054, 2003, 2115, 5448, 1029, 2024, 21912, 13726, 2302, 22674, 2030, 2007, 1029, 2339, 1029, 2092, 2517, 3720, 1010, 2021, 4365, 2383, 1037, 2155, 1998, 4268, 1998, 2725, 2019, 7551, 2066, 2023, 2000, 6011, 1037, 2391, 1029, 4056, 2021, 2785, 1997, 12264, 1012, 14686, 2096, 1045, 2109, 2000, 10973, 2009, 2012, 3429, 2661, 2566, 3178, 1010, 2085, 1045, 1521, 1049, 2521, 2062, 17145, 1517, 2505, 2058, 2382, 5683, 1037, 2978, 18740, 2100, 1012, 1037, 7997, 10412, 2064, 11703, 7416, 3726, 8195, 2046, 3241, 2027, 2031, 1037, 11965, 1997, 1999, 19722, 19666, 6906, 8553, 2008, 3475, 1521, 1056, 2941, 2045, 1010, 1998, 2012, 2560, 2028, 2817, 2038, 4484, 2129, 8195, 2689, 2037, 5248, 2043, 1996, 6045, 3310, 2125, 1012, 1045, 2196, 2245, 1997, 2870, 2004, 1037, 2502, 1011, 3891, 2635, 14199, 2021, 2302, 1037, 10412, 1045, 5047, 3056, 8146, 11543, 1012, 1045, 1005, 2310, 2196, 5281, 2183, 3429, 2006, 1037, 7997, 1010, 1998, 2382, 1011, 2302, 1037, 10412, 10768, 3600, 1045, 2052, 2031, 1037, 2524, 2051, 5782, 2000, 2175, 2682, 2322, 5601, 999, 2007, 12362, 2000, 3808, 2913, 1010, 2129, 2116, 13436, 2073, 1996, 14199, 11214, 2370, 1010, 6497, 2015, 2370, 2125, 1998, 12271, 2185, 2191, 1996, 1000, 2913, 1000, 4760, 10412, 2224, 2987, 1005, 1056, 9530, 7512, 5770, 2028, 2126, 2030, 1996, 2060, 1029, 2129, 2116, 3180, 21912, 2182, 2007, 12077, 2485, 4455, 2031, 2042, 11925, 1998, 4194, 1999, 2070, 14592, 3334, 1005, 1055, 3160, 20589, 1029, 1996, 3213, 2003, 18345, 2006, 2010, 3167, 2019, 8586, 23681, 2015, 2182, 1998, 2664, 2045, 2024, 19662, 6392, 5190, 1997, 3167, 2019, 8586, 23681, 2015, 2073, 1996, 7945, 2001, 5525, 2488, 2125, 2007, 1996, 10412, 1012, 1045, 1005, 1049, 2025, 2469, 1996, 10412, 2003, 1996, 5025, 3114, 2057, 2031, 10231, 7685, 7997, 6502, 1010, 2659, 4847, 2005, 21912, 1010, 1998, 2659, 9670, 6577, 1010, 1998, 4788, 3808, 13105, 1012, 2030, 2008, 2893, 9436, 1997, 10412, 4277, 1998, 3226, 2097, 7461, 2151, 1997, 2122, 2477, 1012, 1999, 1996, 3655, 2002, 9704, 9670, 2003, 1037, 3019, 1998, 3671, 2112, 1997, 1996, 3226, 1010, 6168, 2182, 1999, 2116, 3033, 1997, 1996, 2149, 1010, 6853, 2024, 6086, 2000, 21912, 1999, 15703, 1998, 9596, 3971, 1012, 2065, 2137, 3655, 2787, 2000, 3623, 2313, 4304, 1998, 2191, 2147, 1037, 4536, 3085, 3292, 2013, 2188, 1998, 4171, 2098, 1996, 4485, 2041, 1997, 3765, 1010, 2017, 2453, 2203, 2039, 2007, 1037, 2204, 28899, 3226, 1012, 2096, 2019, 8586, 23681, 2015, 2024, 2025, 1996, 2168, 2004, 2951, 1010, 2182, 2003, 2026, 2019, 8586, 23681, 1998, 1996, 8220, 1045, 4342, 1012, 1045, 2001, 9670, 5116, 2083, 1037, 2350, 6840, 2006, 1037, 2665, 2422, 1012, 4062, 20228, 15568, 2006, 2083, 6840, 1998, 1056, 1011, 5944, 2033, 2012, 2753, 1009, 2463, 1013, 17850, 1012, 2026, 2132, 15132, 2229, 2083, 1996, 19521, 1010, 1045, 17523, 2125, 1998, 2455, 2382, 1009, 2519, 2185, 1012, 3809, 19686, 4167, 4544, 1012, 2416, 3134, 1999, 2902, 1012, 2028, 3204, 3638, 3279, 1012, 2018, 2000, 2128, 19738, 6826, 2129, 2000, 2491, 2028, 4190, 1012, 7233, 2488, 2084, 3087, 10173, 2021, 2070, 3896, 3961, 1012, 4147, 1037, 10412, 2001, 1996, 2069, 3114, 1045, 2001, 2025, 2730, 2030, 9015, 1037, 2512, 1011, 8980, 3085, 4544, 1012, 8220, 1024, 1996, 3423, 2291, 3138, 2046, 4070, 10412, 2224, 2043, 12515, 6346, 1998, 5427, 9430, 1012, 2130, 2065, 1996, 4062, 2001, 2531, 1003, 2012, 6346, 2005, 1996, 12365, 1010, 2017, 2089, 2022, 6576, 3625, 2005, 2115, 6441, 2065, 2017, 2020, 2025, 2035, 2635, 6413, 29361, 1006, 1045, 1012, 1041, 1012, 4147, 3167, 9474, 3941, 1007, 1012, 2023, 2003, 3391, 2590, 2073, 10412, 2224, 2003, 10915, 1012, 1996, 6685, 1997, 22674, 5443, 5402, 6502, 2003, 22369, 2004, 2027, 2024, 2025, 1996, 2168, 3921, 2000, 3891, 2968, 1012, 2066, 3808, 1999, 1996, 2810, 3068, 2030, 2658, 5013, 2998, 1010, 22674, 1006, 3167, 9474, 3941, 1007, 2024, 1996, 2197, 2240, 1997, 3639, 2065, 2035, 2060, 3891, 10210, 13340 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 19184, 1006, 1017, 1007, 7163, 16012, 1006, 1015, 1007, 18591, 1006, 1015, 1007, 3119, 2928, 1006, 1017, 1007, 2411, 3248, 3494, 2040, 18547, 8562, 2013, 9596, 8146, 2411, 3248, 3494, 2040, 2024, 18333, 2030, 2031, 1037, 3768, 1997, 2969, 7073, 1012, 13012, 9035, 1006, 2382, 1007, 3230, 1998, 3852, 2013, 11064, 2239, 2118, 1999, 24926, 1010, 4058, 1006, 3118, 1007, 1012, 2038, 2048, 2336, 1024, 12877, 4776, 2729, 3363, 1006, 1038, 1012, 2089, 2541, 1007, 1998, 2198, 2729, 3363, 1006, 1038, 1012, 2238, 2432, 1007, 1012, 2496, 2000, 3883, 1013, 3213, 7912, 2729, 3363, 1010, 3183, 2002, 2777, 2096, 2119, 2020, 3213, 1013, 9567, 2007, 1996, 15607, 2117, 2103, 4038, 16017, 1999, 3190, 1010, 4307, 1012, 2043, 2002, 3230, 1996, 6765, 2005, 5503, 2035, 22911, 11039, 8004, 1006, 2494, 1007, 1010, 2002, 2234, 2000, 1996, 11326, 2007, 1996, 8605, 2008, 2010, 5019, 2020, 2187, 2006, 1996, 6276, 1011, 2282, 2723, 1012, 2174, 1010, 2010, 5019, 2020, 1999, 1996, 2143, 1010, 1998, 2002, 2001, 27726, 4527, 1012, 2010, 15112, 5615, 1010, 8471, 2482, 9232, 6894, 1010, 2001, 2019, 3059, 12495, 18980, 1010, 2013, 22466, 1010, 3304, 1010, 1998, 2010, 15112, 7133, 1010, 5032, 1043, 1012, 1041, 9354, 1010, 2001, 1997, 2446, 11377, 1012, 3889, 1005, 1055, 11062, 14472, 1062, 8004, 25574, 15259, 1998, 10360, 3848, 2000, 10483, 4801, 2020, 1997, 3907, 4761, 1012, 3889, 1005, 1055, 2269, 2001, 2141, 2104, 1996, 11988, 1000, 2482, 9232, 6894, 1000, 1010, 2029, 2002, 2904, 2000, 1000, 2729, 3363, 1000, 2077, 3889, 2001, 2141, 1012, 2001, 2320, 1037, 6398, 2005, 1996, 3679, 2265, 1006, 2727, 1007, 1012, 3640, 1996, 2376, 1997, 5639, 2006, 1000, 1996, 20080, 2135, 5637, 6829, 1000, 13941, 2006, 5095, 2305, 2444, 1006, 3339, 1007, 1012, 2761, 2359, 2000, 2022, 1037, 5160, 1010, 2021, 2002, 2584, 1037, 3160, 2006, 2019, 4646, 2433, 2008, 2056, 1010, 1000, 2339, 2079, 2017, 2215, 2000, 2022, 1037, 5160, 1029, 1000, 1012, 2002, 2071, 2025, 2228, 1997, 2505, 1012, 2038, 1996, 4678, 7835, 1997, 2108, 1999, 2048, 5691, 2008, 2441, 2006, 1996, 2168, 2154, 1999, 1996, 2142, 2163, 1011, 4315, 8133, 2386, 1006, 2432, 1007, 1998, 5436, 2480, 18337, 2310, 12190, 2666, 19279, 1006, 2432, 1007, 1006, 2251, 1023, 1010, 2432, 1007, 1012, 2001, 2006, 2093, 3478, 13130, 2015, 2077, 2002, 5652, 2006, 6788, 1005, 1055, 2544, 1997, 1996, 13130, 8695, 20934, 3217, 1006, 2384, 1007, 1012, 2499, 1996, 11585, 5670, 1999, 1037, 3573, 2484, 1999, 22130, 1010, 4404, 1010, 1998, 3138, 2116, 1997, 2010, 3494, 2013, 2023, 3325, 1012, 3473, 2039, 1999, 8446, 1010, 4404, 1012, 3559, 1011, 1999, 1011, 2708, 1997, 2010, 2152, 2082, 3780, 1010, 8446, 2148, 1005, 1055, 1000, 1996, 7006, 1005, 1055, 11950, 1000, 1012, 3230, 13654, 2082, 1999, 16557, 1010, 4404, 1012, 1996, 3496, 1999, 11810, 27843, 2226, 1006, 2871, 1007, 1010, 10856, 18337, 1010, 2107, 2102, 1012, 1012, 1012, 1006, 2384, 1007, 1010, 2073, 5557, 2038, 2010, 3108, 2606, 3718, 1010, 3223, 2274, 8629, 2275, 2039, 2005, 1996, 2915, 1012, 2009, 2001, 2729, 3363, 1005, 1055, 2613, 3108, 2606, 2029, 2001, 9157, 2041, 1999, 1996, 3496, 1012, 2729, 3363, 2409, 2472, 20128, 9706, 10610, 2860, 2074, 2077, 5008, 1996, 3496, 1024, 1000, 2009, 2038, 2000, 2022, 2613, 1012, 2009, 2180, 1005, 1056, 2022, 2004, 6057, 2065, 2009, 1005, 1055, 24195, 2039, 2030, 2065, 2009, 1005, 1055, 2569, 3466, 1012, 2017, 2031, 2000, 2156, 2008, 2023, 2003, 2428, 6230, 1012, 1000, 1996, 3496, 2018, 2000, 2022, 2589, 1999, 2028, 2915, 1012, 2001, 1037, 2266, 1997, 20934, 14536, 4402, 1005, 1055, 6534, 2100, 8900, 2194, 1010, 11064, 2239, 2118, 1005, 1055, 17727, 12298, 1011, 4038, 2177, 1998, 1996, 4587, 9234, 17727, 12298, 2177, 1999, 1996, 2406, 1012, 2003, 2028, 1997, 10630, 2111, 4778, 2000, 3693, 1996, 2914, 1997, 4367, 3861, 2840, 1998, 4163, 1006, 23713, 3022, 1007, 1999, 2289, 1012, 2002, 1998, 3958, 12385, 3240, 2020, 2119, 3256, 3873, 3125, 3111, 1999, 2037, 5593, 1012, 2499, 2005, 1037, 4766, 2558, 2012, 1037, 2695, 2436, 1999, 4404, 2073, 2002, 5359, 5653, 2478, 2010, 2219, 2482, 2144, 1996, 2695, 2436, 2106, 2025, 2031, 5653, 6839, 4683, 1012, 2043, 2002, 5295, 2013, 1996, 2597, 2000, 2693, 2000, 3190, 1010, 2005, 2706, 9707, 2002, 2506, 2000, 2424, 6151, 20806, 25896, 5653, 2104, 2010, 2482, 4272, 1012, 2002, 2001, 4222, 2005, 1037, 2857, 3312, 7625, 2400, 2005, 3364, 1999, 1037, 17480, 2005, 1000, 3606, 1010, 3425, 1010, 2030, 1996, 2137, 2126, 1000, 1010, 2012, 1996, 2117, 2103, 3004, 1999, 3190, 1010, 4307, 1012, 2002, 2001, 4222, 2005, 1037, 2807, 3312, 7625, 2400, 2005, 3364, 1999, 1037, 17480, 2005, 1000, 2024, 2017, 2085, 2030, 2031, 2017, 2412, 2042, 11463, 8261, 1029, 1000, 1010, 2012, 1996, 2117, 2103, 3004, 1999, 3190, 1010, 4307, 1012, 8617, 1998, 5748, 1996, 9409, 3790, 4564, 2236, 3573, 1999, 9409, 3790, 1010, 4404, 1010, 2073, 2002, 2038, 1037, 2621, 2188, 1012, 2363, 1037, 2732, 2006, 1996, 5365, 3328, 1997, 4476, 2012, 25535, 2620, 5365, 8459, 1999, 5365, 1010, 2662, 2006, 2254, 1020, 1010, 2355, 1012, 2034, 2600, 4164, 2002, 2412, 3230, 2956, 6892, 8093, 2080, 10722, 3363, 3889, 2729, 3363, 7604, 1996, 2168, 14686, 2011, 8181, 5367, 1999, 2048, 3152, 1012, 1999, 4596, 2005, 8040, 14227, 12722, 2015, 1000, 2256, 3032, 2024, 2025, 6716, 1010, 2027, 2024, 2814, 1000, 2013, 5367, 1005, 1055, 1000, 2057, 2024, 2025, 6716, 1010, 2021, 2814, 1010, 1000, 1998, 1999, 27149, 1000, 1012, 1012, 1012, 1998, 5574, 2000, 2256, 2488, 7048, 1000, 2029, 2002, 12332, 2000, 5367, 2664, 28616, 28940, 12184, 2015, 2013, 5367, 1005, 1055, 1000, 2011, 1996, 2488, 7048, 1997, 2256, 3267, 1012, 1000, 1012, 3167, 16614, 1006, 2321, 1007, 1045, 2031, 2053, 2801, 2073, 2026, 17203, 3267, 3310, 2013, 1012, 2065, 1045, 2245, 2055, 2009, 2205, 2146, 1010, 2009, 2052, 2139, 20110, 2033, 1012, 1045, 2228, 1037, 2839, 1999, 1037, 4038, 2323, 2025, 2113, 2027, 1005, 2128, 1999, 1037, 4038, 1012, 1045, 2123, 1005, 1056, 2228, 1997, 2870, 2004, 6057, 1011, 1045, 2123, 1005, 1056, 6039, 2039, 1037, 2282, 2007, 2026, 8562, 1012, 1012, 1012, 1045, 2052, 8246, 28616, 6906, 6321, 2004, 1037, 3233, 1011, 2039, 9971, 1012, 2017, 2064, 1005, 1056, 4025, 2000, 2031, 2151, 4066, 1997, 23586, 1012, 2030, 9467, 1012, 2030, 7619, 5469, 2012, 2115, 2219, 3558, 3739, 1012, 1045, 2113, 1045, 1005, 1049, 2025, 1037, 2450, 1005, 1055, 5913, 2158, 1025, 1045, 2123, 1005, 1056, 2031, 2000, 27329, 2023, 3746, 1997, 3287, 5053, 1010, 2061, 2008, 1005, 1055, 2785, 1997, 1037, 4335, 1999, 1037, 2126, 1012, 2043, 2027, 5411, 2033, 2055, 2040, 1045, 2052, 2215, 3015, 2131, 6047, 1006, 2263, 1007, 1010, 1045, 4081, 1038, 1012, 1046, 1012, 1996, 4178, 2008, 2002, 1005, 1055, 2517, 3328, 1996, 2240, 2090, 20531, 6057, 1998, 3621, 5805, 1012, 2021, 2027, 2467, 2991, 2006, 1996, 2217, 1997, 2108, 6057, 1012, 1045, 2036, 4081, 2032, 2138, 1045, 2228, 2002, 1005, 1055, 2183, 2000, 2022, 2619, 1045, 1005, 2222, 2022, 2551, 2005, 13834, 1010, 1998, 1045, 2215, 2000, 2131, 2006, 2010, 2204, 2217, 2085, 1011, 2006, 2010, 8695, 20934, 3217, 1006, 2384, 1007, 2522, 1011, 2732, 1998, 2522, 1011, 3213, 1038, 1012, 1046, 1012, 19580, 1031, 2006, 2166, 2144, 11810, 27843, 2226, 1006, 2871, 1007, 1010, 10856, 18337, 1010, 2107, 2102, 1012, 1012, 1012, 1006, 2384, 1007, 2081, 2010, 1037, 3185, 2732, 1012, 1033, 1045, 2031, 1037, 3109, 2226, 3567, 2843, 2062, 2769, 2084, 1045, 2109, 2000, 999, 2008, 1005, 1055, 1996, 2069, 2566, 3401, 11444, 3468, 4489, 1012, 1045, 2097, 5791, 2022, 2583, 2000, 4604, 2026, 4268, 2000, 2267, 2085, 1010, 2029, 2001, 1037, 3160, 2077, 1012, 1006, 2289, 1007, 1031, 2006, 2652, 10691, 6047, 1999, 1996, 9046, 2131, 6047, 1006, 2263, 1007, 1033, 1045, 2572, 4066, 1997, 25640, 2009, 2004, 1037, 21699, 1000, 15803, 4767, 1000, 1012, 1031, 7727, 2000, 3280, 15803, 8909, 4765, 6590, 2102, 1006, 2526, 1007, 1033, 1006, 2289, 1007, 1031, 2006, 2108, 1037, 2269, 1033, 1045, 1005, 1049, 2525, 3773, 2026, 2684, 1005, 1055, 26881, 3168, 1997, 8562, 1998, 2016, 1005, 1055, 2416, 999, 1045, 4149, 2122, 6007, 1010, 1998, 1045, 1005, 1049, 3241, 1045, 1005, 1049, 1037, 4658, 3611, 1010, 1045, 1005, 1049, 2183, 2000, 2265, 2014, 2026, 2047, 2431, 1011, 9573, 6007, 1012, 2061, 1045, 2056, 1010, 1000, 2054, 2079, 2017, 2228, 1997, 2122, 1029, 1000, 1998, 2016, 1005, 1055, 2066, 1010, 1000, 25391, 2053, 1010, 2025, 16663, 2068, 1012, 1000, 1006, 2289, 1007, 1006, 2384, 1010, 2006, 1037, 3653, 1011, 3772, 3105, 1007, 1045, 2499, 1996, 2353, 5670, 2012, 1037, 15106, 3573, 2005, 1037, 2261, 2706, 1012, 2012, 2176, 1999, 1996, 2851, 2087, 2111, 2024, 2559, 2005, 15001, 1010, 22555, 2030, 2028, 1997, 2216, 14880, 15985, 2098, 1010, 4854, 1011, 2559, 2980, 6077, 2013, 1996, 13618, 18651, 1012, 2028, 2305, 1010, 2295, 1010, 1037, 2450, 2234, 1999, 2076, 1996, 16776, 2847, 1012, 2016, 2246, 1037, 2978, 25348, 2004, 2016, 3825, 2012, 1996, 4675, 1012, 2016, 5864, 2005, 1037, 2617, 1010, 2246, 2039, 2012, 2033, 1998, 2356, 1010, 1000, 2079, 2017, 2228, 1045, 1005, 1049, 3492, 1029, 1000, 2004, 2009, 2357, 2041, 1010, 2016, 2018, 2074, 2939, 1999, 2006, 2014, 6898, 2007, 2178, 2450, 1012, 2057, 8979, 2000, 2031, 1037, 12401, 4512, 2055, 1037, 2711, 1005, 1055, 2969, 1011, 4276, 1010, 22625, 1010, 3404, 1998, 6550, 1012, 1998, 2059, 1045, 5845, 2014, 2000, 1037, 22889, 20668, 2100, 2630, 7708, 4392, 1012, 1006, 2384, 1010, 2006, 2761, 5782, 2000, 2022, 1037, 5160, 1007, 2108, 1037, 5160, 2074, 5015, 2204, 2000, 2033, 1012, 2785, 1997, 2066, 2129, 2108, 1037, 3460, 2030, 2108, 2019, 28625, 21281, 19570, 2923, 2030, 1037, 12702, 26282, 10727, 4165, 2204, 1012, 2021, 2009, 2165, 1037, 3143, 2735, 2043, 1045, 2001, 8110, 2041, 2026, 2375, 1011, 2082, 4646, 1012, 1045, 2481, 1005, 1056, 3437, 1996, 9491, 3160, 1010, 2029, 2001, 1010, 2339, 2079, 2017, 2215, 2000, 2022, 2019, 4905, 1029, 1045, 2018, 7078, 2053, 2801, 1012, 7910, 1010, 2000, 2191, 1037, 2843, 1997, 2769, 1998, 9790, 2111, 1029, 2000, 2022, 6283, 2241, 9578, 2006, 2026, 3105, 2516, 1029, 1045, 2481, 1005, 1056, 2272, 2039, 2007, 2028, 2204, 3114, 1012, 2008, 3092, 2026, 2375, 2476, 2738, 2855, 1012, 1006, 2384, 1010, 2006, 4488, 13856, 5704, 2005, 1996, 2678, 2399, 1010, 19104, 5439, 1998, 19104, 7454, 1007, 2040, 2876, 1005, 1056, 2215, 2000, 2131, 3825, 2005, 5938, 1037, 3232, 1997, 2847, 1999, 1037, 2614, 9065, 1029, 1045, 2253, 1999, 3241, 1010, 3398, 1010, 2489, 2769, 999, 2021, 2009, 2001, 2061, 2172, 6211, 2084, 1045, 2245, 2009, 1005, 1040, 2022, 1012, 2045, 2024, 5190, 1997, 2825, 16820, 1999, 1037, 2678, 2208, 1010, 1998, 2017, 2031, 2000, 2079, 3210, 2005, 2035, 1997, 2068, 1012, 2009, 2001, 3492, 10095, 3070, 1012, 2059, 2153, 1010, 2009, 1005, 1055, 2025, 2066, 1045, 2001, 24494, 4691, 2091, 3628, 2030, 2505, 1012, 2008, 4165, 3492, 1059, 10606, 2100, 1010, 2987, 1005, 1056, 2009, 1029, 1000, 1045, 2018, 2000, 2360, 2061, 2116, 2616, 1012, 2009, 2001, 5292, 11057, 4232, 999, 11333, 11057, 4430, 999, 1000, 1031, 2006, 2010, 2839, 2013, 1996, 3679, 2265, 1006, 2727, 1007, 1033, 1999, 2026, 2568, 1010, 2002, 2001, 1037, 3124, 2040, 2018, 2589, 2120, 2739, 7316, 2021, 2018, 5357, 2013, 4519, 5064, 1998, 2001, 2085, 7049, 2000, 2023, 6659, 5830, 2739, 2265, 1998, 2001, 2200, 8618, 2055, 2009, 1998, 2245, 2002, 2001, 2488, 1010, 2021, 2002, 2347, 1005, 1056, 1012, 1031, 2006, 3251, 2002, 8615, 2108, 2828, 10526, 1999, 4038, 4395, 1033, 1045, 1005, 2310, 2589, 2502, 3293, 5691, 1998, 2210, 2981, 5691, 1010, 1998, 1045, 1005, 2310, 2209, 12181, 2015, 1998, 26094, 4013, 19966, 5784, 1010, 1998, 1045, 2514, 2066, 1045, 1005, 2310, 2042, 2428, 5341, 2000, 2377, 2035, 1996, 2367, 4127, 1997, 3494, 1012, 2061, 1010, 2053, 1010, 1045, 2123, 1005, 1056, 4737, 2055, 2008, 1012, 2065, 1045, 2079, 2131, 16516, 11484, 2094, 1010, 2009, 1005, 1055, 2498, 1045, 2064, 2428, 2491, 1012, 1031, 2006, 2010, 4474, 2012, 4994, 2061, 2172, 7239, 1999, 4419, 11266, 7474, 1006, 2297, 1007, 1033, 1996, 2126, 8076, 1031, 4679, 1033, 5577, 1996, 8562, 2003, 2008, 2009, 1005, 1055, 6057, 2127, 2009, 1005, 1055, 2025, 4902, 1010, 1998, 2065, 2023, 2466, 2134, 1005, 1056, 2031, 1996, 9560, 2008, 2009, 2515, 1010, 2009, 2071, 2074, 2022, 2019, 18691, 1010, 9951, 2466, 1012, 2021, 1996, 2755, 2009, 4515, 2039, 2073, 2009, 2515, 1010, 1998, 2008, 2045, 1005, 1055, 2023, 14412, 2140, 2008, 17991, 2058, 1996, 2972, 7984, 1010, 3431, 2673, 1012, 2021, 2070, 1997, 2009, 2061, 18691, 2017, 2064, 1005, 1056, 2393, 2021, 4756, 2138, 2009 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5179, 2683, 1052, 1012, 14134, 5401, 2629, 1006, 3355, 1007, 25745, 2030, 1012, 5354, 2629, 4789, 13452, 2386, 1998, 23203, 8623, 1010, 4297, 1012, 1010, 1037, 3840, 1010, 25094, 1010, 1058, 1012, 10958, 10270, 9413, 8653, 2239, 1010, 10439, 24178, 1012, 4259, 2457, 1997, 5392, 1010, 2533, 1015, 1012, 5275, 1998, 7864, 2251, 1021, 1010, 3355, 1012, 2787, 2244, 2676, 1010, 3355, 1012, 1008, 5401, 2575, 2728, 1046, 1012, 5253, 1010, 23689, 4213, 14228, 2063, 1010, 5275, 1996, 3426, 2005, 10439, 24178, 1012, 10958, 10270, 1044, 1012, 9413, 8653, 2239, 1010, 23689, 4213, 14228, 2063, 1010, 6406, 28760, 1999, 4013, 2566, 1012, 9659, 1054, 1012, 4139, 2368, 1010, 6734, 1010, 5275, 1996, 3426, 1998, 6406, 1996, 4766, 2005, 25094, 1012, 2077, 7939, 11012, 2063, 1010, 1039, 1012, 1046, 1012, 1010, 1998, 28925, 2319, 1010, 1031, 1008, 1033, 4416, 1998, 15307, 1010, 29017, 1012, 4416, 1010, 3425, 1012, 2023, 2001, 2019, 2895, 2005, 6691, 1012, 23953, 1005, 12087, 2035, 24746, 2015, 2008, 23953, 2018, 3825, 1037, 1002, 4008, 1010, 2199, 14987, 12232, 10776, 2011, 23953, 1998, 13474, 1998, 2008, 13474, 2001, 27885, 14715, 3064, 2000, 1000, 2191, 6691, 1997, 2028, 1011, 2353, 1997, 2056, 7016, 1008, 1008, 1008, 2030, 1996, 7680, 1997, 1002, 2385, 1010, 3156, 1012, 1000, 1031, 1015, 1033, 13474, 1005, 1055, 3437, 2443, 1010, 1999, 2804, 2000, 1037, 2236, 14920, 1998, 2093, 27352, 13345, 1010, 1037, 4675, 25154, 2005, 1002, 2753, 1010, 2199, 1999, 12394, 23294, 1010, 2426, 2060, 2477, 1010, 2008, 23953, 1000, 2113, 2440, 2092, 2008, 2023, 13474, 2001, 2025, 2000, 2022, 3625, 2005, 2151, 2112, 1000, 1997, 1996, 1002, 4008, 1010, 2199, 14987, 1998, 2020, 1000, 7161, 2000, 2224, 2023, 15382, 2004, 1037, 2433, 1997, 24873, 11890, 3258, 1000, 2000, 1000, 3426, 13474, 2000, 2022, 4039, 2000, 7323, 2010, 2916, 1998, 2128, 7583, 3111, 1999, 8650, 2010, 3200, 2916, 1008, 1008, 1008, 1012, 1000, 1996, 2553, 2001, 2699, 2077, 1037, 6467, 1010, 2029, 2513, 1037, 14392, 1999, 5684, 1997, 23953, 1012, 1031, 1016, 1033, 13474, 9023, 2013, 1996, 4525, 8689, 1012, 13474, 1005, 1055, 4054, 8775, 1997, 7561, 2003, 2008, 1996, 3979, 2457, 9413, 5596, 1999, 7989, 2000, 3946, 13474, 1005, 1055, 4367, 2005, 11094, 14482, 2241, 2588, 6884, 23337, 2011, 23953, 1005, 4905, 1999, 4851, 2019, 24156, 1998, 3653, 9103, 14808, 4818, 3160, 2076, 2010, 2892, 1011, 7749, 1997, 1996, 13474, 1012, 1999, 2344, 2000, 7919, 5630, 2023, 18974, 2009, 2003, 4072, 2000, 5136, 1996, 6123, 1999, 2029, 2008, 3160, 2001, 2356, 1012, 1008, 5401, 2581, 2009, 3544, 2008, 1996, 7680, 1997, 1002, 2385, 1010, 3156, 6303, 2011, 20579, 2004, 1037, 1000, 6691, 1000, 2013, 13474, 10375, 2013, 2048, 20877, 14643, 10253, 3964, 5052, 10940, 2000, 1037, 5386, 2090, 13474, 1010, 2019, 4905, 1010, 1998, 20579, 13452, 2386, 1012, 2008, 5386, 4593, 12232, 2058, 1002, 1015, 1010, 2199, 1010, 2199, 1999, 13930, 1998, 2001, 1996, 3395, 1997, 1037, 4848, 6406, 2011, 20579, 13452, 2386, 2114, 13474, 2005, 12275, 1998, 2019, 9529, 1012, 13474, 14914, 2006, 3622, 7749, 1010, 1999, 2490, 1997, 2010, 4675, 25154, 2005, 12394, 1010, 2008, 2002, 2018, 2409, 20579, 13452, 2386, 2008, 2002, 2001, 18875, 2007, 2028, 8512, 6904, 3600, 16230, 2000, 1000, 2272, 2039, 2007, 1002, 8574, 1010, 2199, 1000, 2000, 3477, 2006, 1996, 5386, 27427, 15878, 3064, 2791, 1025, 2008, 2012, 2008, 2051, 23112, 1997, 1996, 5386, 2020, 8701, 18921, 20464, 2891, 5397, 1998, 2008, 2065, 2002, 2018, 2042, 2583, 2000, 6855, 1996, 1002, 8574, 1010, 2199, 2002, 2052, 2031, 2042, 2583, 2000, 1000, 6366, 1000, 1996, 5081, 1997, 18921, 20464, 2891, 5397, 1998, 2059, 1000, 9878, 1037, 7017, 6095, 1000, 1999, 1996, 5386, 1012, 13474, 2059, 14914, 2008, 1000, 1031, 1038, 1033, 1061, 15242, 2023, 2895, 1008, 1008, 1008, 2054, 2720, 1012, 13452, 2386, 2106, 2001, 2000, 13387, 2041, 2026, 4495, 2000, 2424, 2019, 14316, 2040, 2052, 2272, 2039, 2007, 1002, 7558, 1010, 2199, 1000, 1998, 2008, 2023, 1000, 2449, 4495, 1000, 2001, 1000, 1997, 3643, 1000, 2000, 2032, 1000, 1999, 9987, 1000, 1997, 1002, 5018, 1010, 2199, 1012, 1999, 1996, 2892, 1011, 7749, 1997, 13474, 2006, 2010, 4366, 2008, 1000, 15242, 2023, 9870, 3303, 2017, 2000, 2022, 4039, 2000, 5851, 1002, 8574, 1010, 2199, 2013, 2720, 1012, 6904, 3600, 16230, 1010, 1000, 23953, 1005, 4905, 2356, 1996, 2206, 3160, 1024, 1000, 2085, 1010, 1999, 3606, 1998, 2755, 1010, 2909, 1010, 2003, 2009, 2025, 2995, 2008, 2115, 2219, 7396, 1010, 3680, 1012, 3459, 2953, 1010, 12923, 2017, 1999, 2023, 2200, 10816, 1999, 2023, 2197, 2095, 2005, 9861, 1010, 13366, 2527, 24539, 2014, 1010, 1998, 2292, 2033, 3926, 2026, 3160, 1010, 2909, 1010, 2065, 2017, 3499, 2033, 1010, 1998, 7119, 1002, 2382, 1010, 2199, 1999, 26136, 13043, 12394, 1998, 1002, 1023, 1010, 2199, 1999, 2236, 12394, 2114, 2017, 2005, 13366, 2527, 24539, 2014, 1029, 1000, 13474, 15959, 2000, 2008, 3160, 1998, 2333, 2005, 1037, 11094, 14482, 1012, 2008, 22224, 1998, 4367, 2020, 2059, 5275, 1999, 8477, 1012, 23953, 1005, 4905, 27481, 2098, 2008, 2000, 17727, 5243, 2818, 13474, 1005, 1055, 4366, 2008, 1996, 15242, 1997, 2023, 2895, 1000, 8342, 2041, 2010, 4495, 2000, 2424, 2019, 14316, 2005, 1002, 8574, 1010, 2199, 1008, 1008, 1008, 2057, 2052, 2265, 2008, 2023, 2003, 2025, 1996, 2613, 3606, 1025, 2008, 2045, 2052, 2022, 2060, 20543, 2008, 2071, 7461, 2008, 3754, 1025, 1000, 2008, 1000, 2720, 1012, 13452, 2386, 2347, 1005, 1056, 1996, 2069, 2711, 2007, 20543, 2114, 2032, 1010, 1000, 1998, 2008, 1000, 1031, 1045, 1033, 1042, 1045, 2064, 1005, 1056, 3288, 2008, 1999, 1010, 2027, 1031, 1996, 6467, 1033, 2024, 2183, 2000, 2228, 2008, 2009, 2001, 2069, 13452, 2386, 2008, 8729, 2017, 2013, 2893, 1037, 5414, 1012, 1000, 1999, 3433, 1010, 13474, 9413, 8653, 2239, 27481, 2098, 2008, 1024, 1000, 2002, 1005, 1055, 3335, 16238, 1996, 8866, 1012, 1997, 2607, 1010, 1996, 3459, 5668, 2020, 2196, 2026, 7846, 1012, 2008, 9870, 2052, 2202, 1037, 2204, 3066, 1997, 7526, 1998, 2003, 4498, 24172, 2000, 2023, 1012, 2002, 19737, 2009, 9975, 2000, 18024, 1996, 6467, 2114, 2033, 1010, 2000, 3288, 2039, 1037, 6270, 3277, 1998, 2000, 9772, 2033, 1996, 2157, 2000, 1037, 4189, 3979, 1012, 2002, 9969, 3335, 16238, 1996, 8866, 1010, 3038, 4694, 1005, 1056, 3459, 5668, 2026, 7846, 1010, 1998, 2002, 4282, 2488, 2084, 2008, 2030, 2323, 2113, 2488, 2084, 2008, 1012, 1000, 1006, 7902, 2794, 1007, 1012, 1998, 2008, 1024, 1000, 2002, 1005, 1055, 2183, 2000, 2486, 2033, 1010, 2115, 3932, 1010, 2000, 2175, 2046, 3294, 1996, 3459, 2953, 2518, 1998, 2045, 1005, 1055, 2053, 2126, 1045, 2064, 2562, 2013, 2183, 2046, 2009, 2302, 2582, 3653, 9103, 14808, 2075, 2870, 1012, 1000, 1996, 3979, 2457, 2059, 5451, 1024, 1000, 2008, 1005, 1055, 1037, 3043, 1997, 3601, 2005, 2017, 1012, 1045, 2572, 16039, 1996, 4367, 1012, 1000, 23953, 1005, 4905, 2084, 2056, 1024, 1000, 2035, 2157, 1012, 1045, 2097, 2681, 2009, 2059, 1012, 1000, 2588, 24501, 24237, 3508, 1997, 1996, 2892, 1011, 7749, 2077, 1996, 6467, 1010, 23953, 1005, 4905, 2106, 2025, 9377, 1996, 3160, 15959, 2000, 1010, 2021, 8979, 2000, 3198, 3980, 2006, 2060, 5609, 1012, 2588, 6503, 1997, 1996, 2892, 1011, 7749, 13474, 9413, 8653, 2239, 2106, 2025, 1000, 2175, 2046, 1000, 1996, 1000, 3459, 2953, 2518, 1010, 1000, 2021, 3253, 2053, 2128, 1011, 3622, 10896, 1998, 2059, 1000, 8614, 1012, 1000, 2002, 2106, 2025, 2655, 2720, 1012, 6904, 3600, 16230, 2004, 1037, 7409, 1012, 1999, 2010, 28760, 2006, 2023, 5574, 13474, 9413, 8653, 2239, 5571, 2008, 1024, 1000, 1008, 1008, 1008, 23953, 1005, 9517, 2354, 2010, 4861, 2001, 9413, 20793, 3560, 2004, 3090, 1010, 1998, 9505, 1996, 3160, 9578, 2005, 2049, 3811, 22369, 1998, 3653, 9103, 14808, 4818, 3466, 1012, 1000, 1998, 2008, 1024, 1000, 2002, 15734, 26392, 1996, 6467, 1008, 1008, 1008, 1012, 1000, 2947, 1010, 2429, 2000, 13474, 1010, 1000, 1008, 1008, 1008, 10439, 24178, 1005, 1055, 2034, 8775, 1997, 7561, 5936, 2048, 3937, 1998, 4876, 3141, 3980, 1024, 1008, 5401, 2620, 1000, 1006, 1015, 1007, 3251, 2019, 4905, 2089, 2007, 17727, 19496, 3723, 3198, 6592, 3512, 1998, 3811, 3653, 9103, 14808, 4818, 3980, 1010, 2124, 2011, 2032, 2000, 2022, 9413, 20793, 3560, 2004, 2773, 2098, 1012, 1000, 1006, 1016, 1007, 3251, 2019, 4905, 2089, 11628, 1037, 7409, 2004, 2000, 5609, 5373, 7882, 1010, 2021, 2124, 2011, 1996, 12843, 7409, 1031, 4905, 1029, 1033, 2000, 2022, 1999, 2755, 22537, 1012, 1000, 2004, 3090, 1999, 10439, 24178, 1005, 1055, 4766, 1010, 9517, 2005, 10439, 14774, 2063, 2001, 3929, 5204, 1997, 1996, 3459, 2953, 2553, 1025, 2008, 1996, 3459, 5668, 2020, 2025, 7846, 1997, 10439, 24178, 1010, 1998, 2008, 7233, 2001, 10155, 2006, 1996, 3399, 1997, 4945, 2000, 26056, 1010, 2025, 3161, 9861, 1012, 9517, 2001, 2036, 3929, 5204, 2008, 2720, 1012, 6904, 3600, 16230, 1010, 10439, 24178, 1005, 1055, 3078, 3246, 2005, 6274, 1002, 8574, 1010, 2199, 1012, 4002, 1010, 2001, 3929, 5204, 1997, 1996, 3459, 2953, 15382, 1998, 2001, 24720, 8558, 1012, 1000, 1008, 1008, 1008, 2010, 2219, 7526, 1997, 2010, 3800, 1999, 4851, 1996, 3160, 2001, 2000, 6592, 2060, 5320, 2005, 10439, 24178, 1005, 1055, 13720, 2000, 17781, 1002, 8574, 1010, 2199, 1012, 4002, 1006, 19817, 11176, 1007, 1012, 1996, 3800, 2003, 21360, 20782, 2006, 1996, 3302, 1010, 2021, 1999, 3193, 1997, 9517, 1005, 1055, 3716, 1997, 2049, 5025, 20868, 16570, 13331, 9407, 1010, 2004, 4941, 2000, 2019, 10061, 3663, 2073, 9517, 2038, 1037, 9608, 6772, 1999, 1037, 3160, 1005, 1055, 2128, 20414, 11656, 1010, 1996, 3160, 2182, 10865, 1997, 2001, 2356, 2302, 19777, 2030, 8016, 1010, 2001, 2124, 2000, 2022, 20316, 2007, 1996, 3404, 1031, 3606, 1029, 1033, 1010, 1998, 2001, 2881, 2135, 22369, 1012, 1000, 1031, 1017, 1033, 1006, 7902, 2794, 1007, 2947, 1010, 13474, 3544, 2000, 9530, 22119, 2008, 1996, 3160, 2356, 2011, 23953, 1005, 4905, 2052, 2025, 2031, 3223, 1037, 11094, 14482, 2065, 2002, 2018, 1037, 1000, 9608, 6772, 1000, 1999, 1996, 1000, 2128, 20414, 11656, 1997, 1996, 3160, 1010, 1000, 2021, 27481, 2015, 2008, 1999, 2023, 2553, 1996, 3160, 2001, 2025, 2069, 24156, 1010, 2021, 3223, 1037, 11094, 14482, 2138, 2009, 2001, 1000, 2124, 1000, 2000, 2022, 1000, 20316, 2007, 1996, 3606, 1000, 1998, 2001, 1000, 2881, 2135, 22369, 1012, 1000, 2122, 2024, 2844, 5571, 2000, 2022, 22915, 2011, 2028, 4905, 2114, 2178, 1010, 4983, 3569, 2011, 1996, 2501, 1012, 1996, 7669, 1010, 2174, 1010, 2003, 2008, 13474, 1005, 1055, 5571, 1006, 2029, 2024, 6380, 2011, 23953, 1005, 4905, 1007, 2024, 2025, 3569, 2011, 1996, 2501, 1999, 2023, 2553, 1012, 2009, 2089, 2022, 2008, 1996, 3459, 5668, 2020, 2025, 7846, 1997, 13474, 9413, 8653, 2239, 1010, 2021, 2498, 1999, 1996, 2501, 6753, 2010, 3715, 2008, 23953, 1005, 4905, 2354, 2008, 2755, 1012, 4445, 2003, 2045, 2505, 1999, 1996, 2501, 2000, 2490, 1996, 3715, 2008, 23953, 1005, 4905, 2354, 2008, 1996, 3459, 2953, 2553, 2001, 2025, 2005, 1000, 3161, 9861, 1010, 1000, 2021, 2005, 1037, 1000, 4945, 2000, 23613, 26056, 1012, 1000, 2006, 1996, 10043, 1010, 2023, 2457, 2089, 2202, 8268, 5060, 1997, 2049, 3522, 3247, 1999, 3459, 2953, 1058, 1012, 9413, 8653, 2239, 1010, 25578, 2030, 1012, 16471, 1010, 15017, 1011, 5187, 1010, 21267, 1052, 1012, 14134, 25491, 1006, 3355, 1007, 1012, 2009, 3544, 2013, 2008, 3247, 2008, 1996, 12087, 1999, 2008, 2553, 6884, 1000, 13474, 1031, 9413, 8653, 2239, 1033, 3421, 1031, 2000, 3459, 2953, 1033, 2008, 1996, 4027, 2015, 2071, 16636, 2204, 2516, 2021, 2008, 2023, 2001, 6270, 1998, 13474, 2354, 2009, 2001, 6270, 1010, 1000, 2004, 2092, 2004, 2019, 2035, 29107, 3508, 2008, 1000, 13474, 2018, 1037, 4611, 2000, 26056, 1996, 2440, 6698, 1997, 1996, 27427, 15878, 3064, 2791, 1000, 1998, 2008, 1037, 6467, 14392, 2114, 13474, 9413, 8653, 2239, 2005, 2236, 1998, 26136, 13043, 12394, 2561, 2989, 1002, 4229, 1010, 3156, 2001, 19768, 2011, 2023, 2457, 1012, 1999, 2110, 1058, 1012, 7151, 11106, 3286, 1010, 6365, 2030, 1012, 4720, 2549, 1010, 19609, 1052, 1012, 1019, 1006, 4529, 1007, 1010, 2023, 2457, 2641, 1037, 2714, 3291, 1012, 1999, 2008, 2553, 13474, 2170, 2839, 9390, 2040, 14914, 2008, 2010, 5891, 2004, 1037, 7191, 1010, 2375, 1011, 11113, 28173, 3070, 2158, 2001, 2204, 1012, 2006, 2892, 1011, 7749, 1996, 12388, 29163, 4905, 1010, 2058, 13474, 1005, 1055, 22224, 1010, 2001, 7936, 2000, 3198, 2169, 7409, 1999, 9415, 2065, 2002, 2018, 2412, 2657, 2008, 1996, 13474, 2018, 2579, 1000, 24156, 18271, 1000, 2714, 2000, 2008, 2649, 1999, 1996, 24265, 2007, 2178, 2210, 2611, 1010, 2315, 1999, 1996, 3160, 1012, 2169, 7409, 4660, 1999, 1996, 4997, 1012, 2006, 5574, 13474, 27481, 2098, 2008, 2023, 2001, 7561, 2138, 1996, 12388 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2045, 2024, 3243, 1037, 2843, 1997, 9262, 25212, 8241, 24977, 2041, 2045, 1012, 2045, 2024, 1037, 9129, 1997, 2092, 2124, 3924, 2066, 1046, 15853, 2015, 1010, 3221, 7529, 1998, 21269, 2063, 1010, 1998, 2070, 2625, 2124, 3924, 2066, 24604, 1998, 7044, 1010, 1998, 1037, 3232, 1997, 14485, 3924, 2066, 15333, 2271, 1998, 4773, 4140, 2595, 1012, 2028, 2518, 2000, 2562, 1999, 2568, 2003, 2008, 2035, 2216, 24977, 2024, 2025, 2035, 3294, 4310, 1012, 2045, 2024, 1037, 6474, 2030, 2061, 9262, 25212, 24977, 1010, 2021, 2045, 2024, 2087, 5791, 2025, 1037, 6474, 1997, 1046, 22747, 24977, 1006, 1999, 2755, 2045, 2024, 2069, 2048, 1025, 9587, 16084, 2527, 1998, 2026, 12172, 2015, 1007, 1012, 9262, 25212, 24977, 1999, 2070, 2126, 2024, 2025, 4498, 4406, 11603, 20611, 1025, 2027, 7427, 2362, 1037, 2312, 3815, 1997, 4493, 4007, 1010, 2029, 2003, 22805, 2362, 3081, 4007, 2764, 2011, 1996, 4487, 3367, 3217, 21431, 1998, 2073, 2070, 4007, 2003, 3495, 2764, 2011, 2008, 21431, 1010, 2021, 2059, 2036, 2109, 2011, 2060, 17088, 1012, 1999, 9262, 25212, 2005, 2742, 1046, 15853, 2015, 11791, 1996, 3729, 2072, 7375, 2057, 6392, 1998, 3594, 2008, 1999, 2049, 9262, 25212, 14903, 1010, 2021, 2060, 17088, 2066, 14721, 2036, 2224, 2023, 1012, 1996, 2060, 2126, 2105, 1010, 14721, 11791, 9587, 16084, 2527, 1010, 1996, 17289, 1046, 22747, 7375, 1010, 1998, 3594, 2023, 1999, 2049, 14903, 1012, 1046, 15853, 2015, 2006, 2049, 2735, 2059, 3594, 9587, 16084, 2527, 2612, 1997, 4975, 2049, 2219, 1046, 22747, 7375, 1012, 1999, 2023, 2695, 2057, 1005, 2222, 2202, 1037, 6748, 2298, 2012, 2029, 1997, 2122, 1000, 6177, 1000, 1996, 2536, 9262, 25212, 14903, 2024, 2478, 1012, 2028, 3120, 2008, 1005, 1055, 4276, 2559, 2012, 2000, 10667, 2039, 2023, 2592, 2003, 1996, 14721, 9262, 25212, 10618, 3931, 1012, 2096, 2023, 2515, 7201, 2070, 24977, 2005, 2169, 8241, 1010, 2009, 1005, 1055, 6854, 3811, 12052, 1998, 4297, 11631, 7869, 3372, 1012, 2070, 14903, 2097, 2862, 2037, 1046, 22747, 7375, 1010, 2096, 2070, 2500, 2123, 1005, 1056, 2079, 2023, 2021, 2079, 2862, 2037, 16545, 2050, 7375, 1012, 2009, 3957, 2028, 1037, 2707, 1010, 2021, 2009, 1005, 1055, 1037, 2200, 12958, 2862, 1998, 1037, 2862, 2008, 1005, 1055, 2947, 2367, 2005, 2169, 8241, 1012, 2178, 2126, 2003, 2000, 8816, 2169, 8241, 1998, 2074, 2298, 2012, 1996, 1013, 5622, 2497, 2030, 1013, 14184, 14176, 1998, 2298, 2012, 1996, 15723, 6764, 2108, 2556, 1012, 2023, 2573, 2000, 2070, 3014, 1010, 2021, 2070, 14903, 14916, 14074, 25067, 1997, 2092, 2124, 3934, 1012, 1041, 1012, 1043, 1012, 9587, 16084, 2527, 4150, 1000, 3221, 7529, 1011, 1046, 22747, 1000, 1999, 4773, 27179, 1012, 4773, 23874, 2515, 2242, 2714, 1012, 16948, 1010, 21431, 4031, 5530, 1998, 4087, 18216, 2823, 2079, 5254, 2070, 1997, 1996, 7375, 8860, 1010, 2021, 2153, 2009, 1005, 1055, 2069, 1037, 2261, 24977, 2008, 2024, 3855, 2065, 2027, 2024, 3855, 2012, 2035, 1012, 1037, 2502, 6453, 2000, 2023, 2003, 1037, 2695, 2008, 1045, 5064, 4771, 2043, 2725, 2026, 3988, 2470, 2013, 28217, 20512, 2055, 3748, 14151, 1022, 1006, 1996, 3497, 2918, 1997, 1037, 2925, 1046, 15853, 2015, 19413, 2361, 1021, 1007, 2029, 2200, 4415, 7201, 1998, 7604, 3053, 2035, 6922, 24977, 2109, 2011, 2008, 8241, 1012, 1037, 2197, 7001, 2003, 2000, 5690, 2005, 2195, 2092, 2124, 19706, 1998, 1013, 2030, 10061, 4280, 1999, 2169, 28699, 1998, 2059, 4638, 2011, 2029, 2465, 2122, 2024, 7528, 1999, 2169, 8241, 1012, 2023, 2003, 7199, 3733, 2005, 28699, 2015, 2066, 1046, 22747, 1010, 1041, 1012, 1043, 1012, 5344, 8663, 18209, 2003, 4415, 7528, 2011, 1996, 7375, 1012, 2174, 2005, 1046, 2696, 1998, 29175, 2050, 2023, 2003, 5399, 2062, 3697, 2004, 2009, 3397, 3262, 19706, 2008, 2024, 2000, 2022, 7528, 2011, 5310, 3642, 1012, 2005, 4431, 1010, 1045, 2109, 1996, 2206, 4127, 2005, 2023, 2197, 7001, 4118, 1024, 14262, 2615, 7485, 1011, 16770, 2121, 2615, 7485, 2890, 15500, 1046, 22747, 1011, 5344, 8663, 18209, 3729, 2072, 1011, 14068, 24805, 4590, 16545, 2050, 1011, 9178, 24805, 4590, 1038, 2615, 1011, 9262, 2595, 1012, 27354, 1012, 9563, 1010, 16381, 18442, 21572, 17258, 2121, 1041, 3501, 2497, 1011, 5219, 8663, 18209, 13118, 1011, 12667, 1011, 6123, 6072, 4747, 6299, 1010, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 4646, 29175, 2050, 1011, 2147, 24805, 4590, 1010, 4434, 24805, 4590, 1010, 3266, 8663, 2638, 7542, 1046, 5244, 1011, 7688, 3449, 1011, 3449, 8663, 18209, 1010, 3643, 10288, 20110, 3258, 1046, 2696, 1011, 12598, 24805, 4590, 14855, 13102, 2594, 1011, 8241, 4887, 2705, 8663, 8873, 2290, 5653, 1011, 2771, 4168, 12274, 7096, 11514, 8445, 4773, 6499, 19869, 2102, 1011, 8241, 8545, 5910, 7432, 3388, 8663, 18249, 2121, 1010, 4372, 16044, 2099, 24154, 1011, 3266, 22842, 8566, 3709, 10288, 8586, 16161, 22573, 2099, 7903, 2063, 14108, 1011, 3105, 8663, 18209, 2302, 2582, 4748, 2080, 1010, 2182, 1005, 1055, 1996, 8185, 1997, 9262, 25212, 7375, 6177, 2109, 2011, 2184, 9262, 25212, 14903, 1024, 1006, 2004, 3334, 20573, 2369, 6922, 2171, 2965, 21431, 1999, 2445, 5930, 3594, 7375, 2013, 2060, 21431, 1010, 4606, 2369, 2171, 2965, 1996, 7375, 2109, 2000, 2022, 2013, 1996, 21431, 1999, 2008, 5930, 1010, 2021, 1996, 21431, 6955, 1996, 7375, 2000, 2070, 6327, 3029, 1007, 2559, 2012, 1996, 8185, 2057, 2064, 2156, 2045, 2024, 3701, 1017, 2502, 4243, 4526, 3584, 1998, 2128, 1011, 24013, 9262, 25212, 6177, 1025, 2417, 6045, 1010, 14721, 1998, 15895, 1012, 15895, 2003, 2672, 1037, 2569, 2553, 2295, 1010, 2004, 2009, 1005, 1055, 2019, 3029, 9936, 6197, 1997, 3934, 1998, 2025, 1037, 21431, 2007, 1037, 2309, 6143, 3125, 1012, 2279, 2000, 2122, 2502, 4243, 2045, 2024, 2048, 3760, 3924, 5155, 1037, 2261, 6177, 1012, 1997, 2216, 27593, 2475, 2038, 1037, 3584, 1998, 2128, 1011, 24013, 7375, 1997, 1041, 3501, 2497, 1010, 1046, 5244, 1998, 1046, 2696, 1010, 2096, 24604, 2038, 2049, 2219, 7375, 1997, 3729, 2072, 1012, 1999, 1996, 2553, 1997, 24604, 2009, 3504, 2066, 2009, 1005, 1055, 2069, 4100, 2128, 1011, 24013, 2295, 1012, 1996, 7375, 2038, 2049, 2219, 2171, 1006, 27467, 1007, 2021, 2045, 1005, 1055, 3475, 1005, 1056, 2428, 1037, 3584, 20785, 2030, 2622, 3931, 2800, 2005, 2009, 1010, 4496, 2024, 2045, 2428, 2151, 8128, 2006, 2129, 2000, 2224, 27467, 2006, 1041, 1012, 1043, 1012, 3419, 11266, 2030, 22962, 2100, 1006, 2066, 2057, 6392, 2038, 1007, 1012, 4237, 2013, 2478, 1006, 2092, 2124, 1007, 2330, 3120, 24977, 1997, 6177, 2035, 14903, 1006, 2119, 2330, 1998, 2701, 3120, 1007, 2018, 1037, 3232, 1997, 13294, 1998, 1013, 2030, 4722, 24977, 1012, 1997, 2122, 1010, 14855, 13102, 2594, 2001, 2087, 4703, 7528, 2011, 2171, 3238, 4722, 3642, 1010, 8419, 1018, 2041, 1997, 1019, 2335, 1010, 2348, 1996, 2028, 7375, 2008, 2001, 2315, 1006, 28972, 8758, 1007, 3475, 1005, 1056, 2428, 1037, 3622, 14855, 13102, 2594, 7375, 2021, 2003, 2062, 1037, 3036, 3141, 2622, 2008, 2950, 1996, 14855, 13102, 2594, 7375, 4280, 1012, 1046, 2696, 1998, 1041, 3501, 2497, 2628, 4876, 2007, 1022, 4414, 1021, 2041, 1997, 2184, 24977, 2108, 2171, 3238, 1998, 4722, 1012, 9487, 2003, 2008, 2035, 2701, 3120, 14903, 7718, 2018, 1037, 2171, 3238, 4722, 7375, 1997, 14262, 2615, 7485, 1012, 2012, 1996, 2060, 2203, 1997, 1996, 8674, 1999, 1996, 14903, 2008, 1045, 2246, 2012, 2045, 2020, 2053, 2171, 3238, 4722, 1998, 2053, 2701, 3120, 24977, 1997, 1046, 22747, 1010, 16545, 2050, 1010, 14068, 27354, 1010, 13118, 1011, 12667, 1010, 9262, 21397, 1998, 1046, 14479, 2818, 1012, 2009, 1005, 1055, 2524, 2000, 2360, 2054, 3599, 9297, 1996, 4325, 1997, 2171, 3238, 4722, 6177, 1012, 2028, 7526, 2089, 2022, 2008, 1046, 2475, 4402, 2318, 2041, 2383, 14262, 2615, 7485, 1998, 1041, 3501, 2497, 2004, 1996, 4722, 3192, 1997, 2673, 1010, 3574, 1037, 8241, 2134, 1005, 1056, 2074, 2421, 1041, 3501, 2497, 1010, 2021, 2062, 2030, 2625, 2001, 1041, 3501, 2497, 1012, 1999, 2008, 2088, 2009, 2876, 1005, 1056, 2191, 2172, 3168, 2000, 2421, 1037, 2128, 1011, 24013, 1041, 3501, 2497, 7375, 1012, 2007, 1996, 4125, 1997, 2330, 3120, 9262, 25212, 6177, 2009, 2081, 2062, 3168, 2000, 2074, 2128, 8557, 2122, 1010, 2061, 2035, 10947, 28699, 2015, 1006, 1046, 22747, 1010, 16545, 2050, 1010, 4385, 1007, 2024, 9544, 3085, 2128, 1011, 2109, 2013, 2330, 3120, 1012, 2028, 6453, 2000, 2023, 2003, 2174, 15333, 2271, 1010, 2029, 2750, 2108, 1999, 1037, 9241, 2000, 2022, 1996, 2034, 7378, 9262, 25212, 1021, 7375, 2145, 2371, 1996, 2342, 2000, 3443, 2037, 2219, 24977, 1997, 1996, 4435, 2047, 4773, 6499, 19869, 2102, 1998, 24154, 28699, 2015, 1012, 2009, 2097, 2022, 5875, 2000, 2156, 2054, 1996, 2279, 10416, 1997, 9262, 25212, 1021, 24977, 2097, 2079, 2007, 4847, 2000, 2122, 2048, 28699, 2015, 1012, 2019, 5875, 8089, 2003, 2008, 4773, 23874, 1010, 2029, 2011, 2070, 2111, 2089, 2022, 2464, 2004, 1996, 13082, 2775, 1997, 1996, 2701, 3120, 1998, 3293, 2004, 1010, 2941, 3594, 4659, 2116, 2330, 3120, 6177, 1010, 1998, 1997, 2216, 3053, 2035, 1997, 2068, 2024, 2013, 15895, 1006, 2029, 2089, 2036, 2488, 4863, 2339, 9980, 6485, 1996, 2458, 1997, 16216, 4948, 16339, 2005, 2070, 2051, 1007, 1012, 9262, 21397, 2005, 2070, 3114, 2003, 1996, 6453, 2182, 1012, 16216, 4948, 16339, 2038, 2049, 2219, 7375, 1997, 2009, 1010, 2021, 4773, 23874, 3594, 1996, 3103, 1013, 14721, 15544, 2544, 1012, 2178, 5875, 8089, 2003, 2008, 14903, 2123, 1005, 1056, 4025, 2000, 18154, 4666, 6177, 1010, 2021, 2593, 2224, 1996, 15544, 6177, 2005, 2673, 1010, 2030, 2224, 1996, 15895, 3924, 2005, 2673, 1012, 2045, 1005, 1055, 2053, 8241, 2008, 3594, 2360, 1046, 5244, 2013, 1046, 15853, 2015, 1010, 1046, 22747, 2013, 14721, 1998, 16545, 2050, 2013, 15895, 1012, 2019, 6453, 2000, 1996, 3627, 2003, 2043, 14903, 3499, 4522, 6177, 2000, 2022, 26928, 1010, 2030, 2130, 2911, 2007, 3674, 24977, 1997, 1996, 2168, 28699, 2066, 10680, 2515, 1012, 2057, 2079, 2031, 2000, 5382, 2008, 1037, 9262, 25212, 4646, 8241, 2003, 3243, 1037, 2978, 2062, 2084, 2074, 1996, 2275, 1997, 28699, 6177, 1012, 2005, 2028, 2045, 1005, 1055, 2467, 1996, 8346, 3642, 2008, 1005, 1055, 8241, 3563, 1010, 2021, 2045, 2024, 2036, 2477, 2066, 1996, 7375, 1997, 12679, 2005, 2536, 2477, 1010, 1996, 1006, 10047, 1007, 6061, 2000, 2079, 8246, 1011, 2058, 2005, 2951, 6499, 3126, 9623, 1010, 1006, 3383, 6854, 1007, 1037, 2193, 1997, 3036, 14184, 2005, 25510, 9331, 1010, 7809, 1010, 17710, 20473, 2891, 4385, 1010, 1998, 2896, 2504, 8241, 15380, 2066, 19160, 16293, 2015, 1006, 9808, 5856, 2030, 4728, 1007, 2008, 8790, 3973, 1006, 1041, 1012, 1043, 1012, 1046, 15853, 2015, 1007, 2030, 10763, 3973, 1006, 1041, 1012, 1043, 1012, 7044, 1007, 7170, 7375, 6177, 1012, 15333, 2271, 2005, 6013, 2089, 2298, 2066, 3221, 7529, 2004, 2009, 3594, 1037, 4189, 3815, 1997, 1996, 2168, 6177, 1010, 2021, 1999, 5025, 3012, 2009, 1005, 1055, 1037, 3294, 2367, 8241, 2012, 2116, 3798, 1012, 2633, 1010, 3602, 2008, 2025, 2035, 14903, 2020, 10847, 1998, 2025, 2035, 6177, 1012, 5546, 1996, 1017, 2887, 14903, 26785, 4773, 4140, 2595, 1010, 20933, 10422, 6970, 9153, 3351, 1998, 2718, 21046, 2522, 6491, 3170, 2595, 2271, 2020, 2025, 10847, 1010, 1996, 3114, 2108, 2027, 2024, 2025, 3599, 20610, 2000, 6855, 1012, 2012, 1996, 6922, 2504, 2477, 2066, 13118, 1011, 1054, 15042, 1010, 13118, 1011, 1059, 2015, 1010, 7842, 13006, 1010, 1046, 16089, 4385, 2024, 2025, 1999, 1996, 8185, 1012, 2027, 2020, 3701, 16647, 2000, 5399, 5547, 1996, 2470, 2051, 1012, 1045, 2079, 3246, 2000, 2424, 2070, 2062, 2051, 2012, 1037, 2101, 2754, 1998, 5587, 1996, 3588, 9262, 25212, 14903, 1998, 2070, 2062, 6177, 1012, 12098, 8405, 14841, 24703, 2015, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 25554, 2003, 4276, 2009, 1012, 1037, 3232, 3134, 3283, 1010, 1045, 2001, 4778, 2000, 3104, 1037, 25554, 2208, 1010, 1996, 2899, 17477, 2015, 6431, 1996, 6117, 3103, 1012, 2070, 2111, 1055, 13542, 6850, 1012, 2070, 2356, 2339, 1012, 2070, 2134, 1521, 1056, 2729, 1012, 1998, 2008, 1521, 1055, 2986, 1012, 2023, 2695, 3475, 1521, 1056, 2000, 8054, 3087, 2008, 1996, 25554, 2003, 2307, 2030, 2008, 2009, 1521, 1055, 2130, 2488, 2084, 2027, 2228, 1012, 5810, 1998, 3722, 1010, 1996, 25554, 2003, 4276, 2009, 1012, 4276, 1996, 3947, 2000, 2191, 2469, 2009, 2573, 1012, 4276, 1996, 2490, 1998, 4942, 5332, 4305, 9276, 1997, 1996, 6452, 1529, 2348, 1010, 1996, 2783, 2504, 1997, 1996, 6452, 1521, 1055, 5375, 2003, 5399, 8075, 1012, 25554, 2343, 10972, 10848, 11563, 2001, 3728, 10263, 2011, 7280, 1521, 1055, 19745, 22545, 2006, 13229, 8202, 3240, 1012, 4012, 1012, 2043, 2356, 2065, 1996, 2223, 4152, 3361, 2490, 2013, 1996, 6452, 1010, 10848, 11563, 5362, 2056, 1010, 1523, 2057, 2024, 2019, 9178, 2008, 3216, 9731, 1010, 2021, 2007, 1529, 1045, 2052, 2360, 2057, 2031, 2490, 2013, 1996, 6452, 1010, 2021, 2045, 1521, 1055, 2467, 2042, 2122, 11256, 2008, 2027, 1521, 2128, 3015, 2502, 14148, 2005, 2149, 1529, 1524, 22545, 7153, 1998, 17727, 20186, 2094, 10848, 11563, 2000, 3154, 1996, 2501, 2006, 2065, 1996, 25554, 4832, 2006, 2049, 2219, 2519, 13732, 1012, 2030, 4181, 2121, 5838, 1010, 1523, 2012, 1996, 2223, 2504, 1010, 2057, 2079, 1012, 2748, 1012, 1524, 1037, 2978, 13727, 1010, 2021, 5121, 24936, 1997, 5082, 2013, 10848, 11563, 1012, 2058, 1996, 2223, 1521, 1055, 4598, 1010, 2416, 2780, 2031, 6999, 1024, 1996, 6734, 2543, 1006, 2456, 1011, 6185, 1007, 1010, 5631, 14017, 1006, 2456, 1011, 6185, 1007, 1010, 6044, 24779, 2015, 1006, 2722, 1011, 6021, 1007, 1010, 5904, 12072, 1006, 2722, 1011, 5757, 1007, 1010, 11932, 19799, 1006, 2722, 1011, 5641, 1007, 1010, 1998, 5395, 27138, 1006, 2722, 1011, 5511, 1007, 1012, 1996, 27138, 2180, 1996, 2034, 2176, 3219, 1999, 2223, 2381, 1012, 1996, 5626, 5213, 1010, 4791, 1997, 2093, 3219, 1999, 1996, 2627, 2698, 3692, 1010, 2087, 3728, 1999, 2263, 1010, 7448, 2000, 16631, 2005, 1996, 2783, 2161, 1012, 10848, 11563, 5838, 2000, 4390, 4363, 2780, 10028, 16503, 2011, 13599, 1996, 25554, 2000, 1996, 11785, 1997, 2060, 8121, 1999, 2037, 3360, 1010, 4919, 8951, 1996, 5088, 1998, 1996, 6452, 1012, 4415, 1010, 2174, 1010, 2019, 18108, 2000, 4589, 2015, 3663, 1012, 1999, 2023, 2154, 1997, 2047, 2865, 1998, 2152, 2974, 3006, 2470, 1010, 1996, 3754, 2000, 19136, 6089, 1998, 9231, 8400, 4539, 9501, 2003, 24821, 2367, 2013, 2667, 2000, 4982, 1037, 2998, 2223, 2058, 2753, 2086, 3283, 1012, 2755, 2003, 1010, 1037, 3652, 4378, 2038, 2042, 2524, 2000, 2272, 2011, 2005, 1996, 25554, 1010, 10358, 2011, 1996, 2223, 1521, 1055, 5270, 2381, 1012, 1999, 2049, 15276, 2095, 1010, 1996, 2223, 2003, 2402, 1010, 2021, 2009, 1521, 1055, 2025, 2008, 2402, 1012, 2429, 2000, 25554, 5270, 2636, 2006, 2308, 19022, 19895, 3388, 7384, 2239, 4179, 1012, 4012, 1010, 1999, 1996, 2223, 1521, 1055, 2034, 2698, 3692, 1010, 1996, 2223, 1011, 2898, 5270, 2779, 2001, 1023, 1010, 21267, 1012, 1999, 1996, 2197, 2416, 2086, 1010, 1996, 2223, 1011, 2898, 2779, 2038, 2042, 1021, 1010, 25897, 1012, 1996, 2988, 2779, 2208, 5270, 2005, 1996, 2034, 2176, 3134, 1997, 1996, 2230, 2161, 2003, 1021, 1010, 20003, 1012, 2008, 1521, 1055, 2025, 3599, 3930, 1012, 1523, 2057, 1521, 2128, 3666, 1031, 5270, 3616, 1033, 2200, 5362, 1010, 1524, 2056, 15062, 3779, 1010, 2899, 17477, 2015, 2343, 1004, 6605, 4256, 1010, 2043, 1045, 3764, 2007, 2014, 2044, 6945, 6506, 6190, 1521, 23889, 2811, 3034, 2004, 3484, 3954, 1997, 1996, 2899, 16657, 1012, 1523, 1045, 2228, 1996, 2223, 2038, 4961, 1999, 2116, 3971, 2004, 2521, 2004, 2256, 5470, 2918, 1010, 2021, 2057, 1521, 2128, 2145, 8084, 1037, 2210, 2978, 2007, 12026, 2015, 1012, 1524, 3779, 1010, 2040, 2036, 4240, 1037, 3580, 1011, 3242, 1997, 15447, 2998, 1004, 4024, 1010, 1996, 6095, 2177, 2008, 7711, 1996, 16657, 1010, 17477, 2015, 1010, 2899, 15433, 1998, 1996, 2310, 21885, 2239, 2415, 1010, 2036, 4197, 2062, 2646, 23382, 5876, 2004, 2019, 3747, 2006, 5270, 1012, 1523, 1045, 2145, 2123, 1521, 1056, 2228, 2554, 2004, 1037, 2878, 2038, 2428, 14218, 1996, 2931, 8258, 2004, 2027, 2323, 1010, 1524, 2016, 2056, 1999, 3408, 1997, 3289, 2000, 3623, 1996, 25554, 1521, 1055, 5470, 2918, 1012, 1523, 1998, 2061, 2009, 1521, 1055, 2242, 2057, 1521, 2128, 7887, 2551, 2006, 1998, 2057, 1521, 2128, 8084, 2007, 1010, 1998, 2667, 2000, 2428, 2131, 1996, 4471, 2041, 2045, 1997, 1996, 5197, 1997, 2308, 1998, 2998, 1012, 2320, 2554, 2064, 2707, 3773, 2049, 20828, 1010, 1045, 2228, 2009, 1521, 1055, 2183, 2000, 4982, 1012, 1524, 3451, 5876, 2036, 2272, 2046, 2377, 1012, 2005, 1996, 2087, 2112, 1010, 2658, 2308, 3455, 2867, 2131, 3825, 2062, 6931, 2084, 2027, 2079, 1999, 2637, 1012, 2947, 1010, 2308, 1521, 1055, 4013, 3455, 2003, 2062, 14218, 1999, 2060, 3032, 1012, 1996, 25554, 1521, 1055, 2621, 7292, 6134, 2515, 3499, 2116, 2867, 2000, 5589, 1999, 7037, 8121, 1010, 2021, 2008, 3310, 2007, 1996, 18502, 1997, 3445, 4544, 3891, 1998, 7820, 10922, 1012, 2021, 2065, 1996, 25554, 2018, 1037, 3467, 6134, 1010, 2027, 3432, 2481, 1521, 1056, 5566, 1010, 2007, 3097, 2308, 1521, 1055, 8121, 2030, 2007, 1996, 6452, 1012, 6452, 5849, 2585, 8665, 11310, 2008, 2010, 2223, 1521, 1055, 5608, 2052, 13643, 4558, 1002, 4278, 2454, 2023, 2161, 1012, 2009, 1521, 1055, 1996, 4610, 1010, 5236, 1006, 1998, 1037, 17324, 2050, 2008, 4473, 6452, 5608, 2000, 2202, 1523, 5236, 15345, 1010, 1524, 2004, 6945, 6506, 6190, 2052, 2360, 1007, 1012, 6452, 2586, 2132, 5006, 4477, 3728, 2170, 1996, 1002, 4278, 2454, 3275, 1010, 1523, 28352, 17791, 1012, 1524, 9690, 1010, 1996, 2740, 1997, 1996, 25554, 2003, 5121, 5360, 2011, 1996, 3452, 2740, 1997, 2658, 3455, 1999, 1996, 2142, 2163, 1010, 2242, 2029, 2097, 5335, 1999, 1037, 2488, 4610, 1012, 15062, 3779, 2056, 3933, 12026, 2015, 2064, 2022, 1996, 4489, 1012, 1523, 2057, 2024, 5791, 2559, 2046, 2009, 1010, 1524, 2043, 2356, 2065, 1996, 17477, 2015, 2020, 6195, 1996, 5724, 1012, 1523, 2008, 9388, 4226, 2063, 12026, 2428, 2515, 2191, 1996, 4489, 2090, 2256, 2108, 1999, 1996, 2417, 1998, 2108, 1999, 1996, 2304, 1012, 2061, 2057, 2031, 2042, 7887, 3331, 2007, 2350, 11578, 2000, 2156, 2065, 2057, 2064, 2131, 1037, 9388, 4226, 2063, 3066, 1012, 1524, 3779, 2036, 5927, 6945, 6506, 6190, 1521, 3484, 6095, 1997, 1996, 16657, 2004, 1037, 4606, 4919, 2005, 1996, 17477, 2015, 6329, 1012, 1523, 1996, 5053, 2055, 2054, 2057, 1521, 2128, 2725, 2182, 2003, 2057, 1521, 2128, 2183, 2000, 2022, 2583, 2000, 17704, 12586, 1996, 16657, 1998, 1996, 17477, 2015, 2067, 2362, 1010, 2004, 2521, 2004, 12026, 4341, 1010, 2004, 2521, 2004, 2130, 2108, 2583, 2000, 5271, 14555, 1012, 1524, 2416, 1997, 1996, 2260, 2783, 25554, 2780, 2031, 7264, 2007, 6452, 6095, 2967, 1012, 2145, 1529, 7543, 3904, 1997, 2023, 5609, 2000, 2017, 1012, 2009, 2035, 3310, 2091, 2000, 1996, 4031, 1010, 2157, 1029, 2065, 2017, 1521, 2128, 1037, 5470, 1997, 2273, 1521, 1055, 3455, 1010, 2009, 1521, 1055, 2763, 2025, 1037, 2048, 1011, 2126, 2395, 2646, 5470, 9527, 1997, 2308, 1521, 1055, 3455, 1012, 2168, 4368, 1010, 2367, 2399, 1529, 1996, 2364, 5860, 2890, 9739, 5666, 2746, 1999, 5188, 2964, 1012, 2273, 1521, 1055, 3455, 2003, 2062, 5188, 3973, 14036, 1999, 5688, 2000, 2236, 2529, 5188, 9859, 1012, 2023, 2064, 1521, 1056, 2022, 5275, 1012, 2025, 2000, 2360, 2308, 1521, 1055, 3455, 3475, 1521, 1056, 5188, 3973, 2004, 24826, 15683, 1999, 2049, 2219, 2126, 1010, 2074, 2200, 2235, 1999, 7831, 2000, 1037, 4770, 1997, 1996, 2088, 1521, 1055, 4602, 7576, 1012, 2021, 5188, 2964, 2003, 2025, 1037, 2391, 2008, 2323, 2022, 4208, 2588, 2004, 1037, 3737, 1997, 1996, 25554, 2208, 4312, 1012, 1999, 2755, 1010, 2009, 1521, 1055, 5399, 15818, 2000, 5136, 1996, 22617, 1997, 1996, 25554, 9578, 2241, 2006, 1996, 2801, 2008, 6452, 1011, 15977, 5188, 2964, 27594, 2015, 2017, 2013, 3666, 1996, 2308, 1521, 1055, 2208, 1012, 2065, 1996, 2208, 1997, 3455, 2003, 2035, 2055, 24654, 6834, 1998, 5188, 8658, 2015, 1010, 2059, 2017, 4995, 1521, 1056, 10439, 2890, 7405, 3436, 2030, 2893, 1996, 16371, 6651, 1997, 1996, 4368, 1010, 2172, 2625, 2339, 2111, 5566, 1999, 1996, 2034, 2173, 1012, 2061, 1996, 25554, 2003, 2025, 2005, 2017, 1012, 2009, 2987, 1521, 1056, 3043, 1012, 1996, 25554, 3640, 2019, 4522, 13307, 2005, 2216, 13459, 2055, 3455, 1999, 3971, 2008, 2342, 2078, 1521, 1056, 3043, 2000, 3071, 1012, 1996, 25554, 2003, 2005, 2619, 1529, 2005, 2402, 3057, 2000, 8754, 21466, 1037, 2293, 2005, 1996, 2208, 2007, 1996, 24600, 3125, 1997, 2652, 2012, 1996, 3284, 2658, 2504, 1999, 1996, 2142, 2163, 1529, 2005, 4712, 1997, 1996, 4368, 2006, 1037, 4969, 2504, 2000, 2119, 2273, 1998, 2308, 1010, 1998, 2025, 2074, 2408, 8578, 1010, 3837, 1010, 11822, 1998, 18240, 1012, 2083, 2035, 1996, 11785, 1010, 6256, 1998, 3652, 20398, 1010, 1996, 25554, 2003, 4276, 1996, 3947, 1998, 4276, 1996, 3739, 1012, 2005, 1996, 3618, 2204, 1997, 1996, 2208, 1997, 3455, 1010, 1996, 25554, 2003, 4276, 2009, 1012, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 2044, 1996, 2208, 1045, 3230, 1010, 1045, 3764, 2000, 1037, 3232, 25554, 2867, 1010, 22767, 11608, 1998, 26194, 20667, 1997, 1996, 2899, 17477, 2015, 1998, 9092, 2317, 1997, 1996, 6117, 3103, 1010, 2055, 1996, 2535, 2037, 2223, 3248, 1999, 1996, 20986, 5605, 1997, 1996, 2208, 1997, 3455, 1010, 2926, 2005, 3057, 1012, 1996, 3114, 1996, 25554, 2003, 7989, 2038, 2498, 2000, 2079, 2007, 1996, 4610, 1998, 2498, 2000, 2079, 2007, 1037, 2668, 7393, 2102, 2005, 5188, 2964, 1012, 1045, 5959, 3666, 3455, 2006, 2035, 3798, 1010, 2013, 1996, 6452, 2091, 2000, 10517, 8121, 2005, 2152, 2082, 2545, 1012, 1996, 3437, 2003, 3722, 2428, 1529, 1996, 4031, 2404, 2041, 2011, 1996, 25554, 2003, 1037, 6659, 4031, 1529, 1012, 3722, 2004, 2008, 1012, 2004, 1037, 3455, 16405, 15061, 1010, 1045, 2031, 2699, 2195, 2335, 2000, 3422, 1996, 25554, 1529, 2069, 2000, 2022, 17733, 2012, 1996, 6659, 3455, 2108, 2209, 1012, 2153, 1010, 2009, 2003, 2025, 1996, 3768, 1997, 9475, 25367, 24654, 5705, 1010, 2021, 1037, 4945, 2000, 2377, 2307, 3455, 2012, 1996, 8050, 2504, 1012, 2065, 1996, 4031, 3475, 1521, 1056, 2307, 1010, 11501, 2063, 2097, 4965, 1529, 1012, 2053, 3043, 2129, 2092, 2017, 3006, 1996, 4031, 1012, 4172, 2025, 2008, 2023, 6685, 2003, 2081, 2182, 4919, 1010, 2021, 2009, 2003, 5399, 2691, 2005, 2111, 2000, 7475, 2008, 5803, 2867, 1013, 2780, 8327, 2488, 8050, 2015, 2084, 6452, 2867, 1010, 2030, 2008, 25554, 2545, 2079, 1996, 2168, 1012, 2174, 1010, 2625, 5188, 2515, 2025, 5020, 2062, 24670, 2614, 1012, 1996, 6452, 2003, 2025, 2069, 3455, 2012, 2049, 2087, 5188, 1010, 2021, 2062, 14780, 1010, 2009, 2003, 2036, 3455, 2012, 2049, 2087, 24670, 2614, 1012, 2004, 2017, 2360, 1010, 1996, 18111, 1996, 6452, 2038, 2003, 1516, 2017, 2064, 3422, 2308, 5566, 1012, 2021, 2005, 2087, 1010, 2870, 2443, 1010, 2027, 2052, 9544, 2000, 3422, 1996, 2190, 5566, 1012, 1998, 2008, 2965, 1996, 6452, 1012, 6754, 2024, 1996, 5270, 4481, 2445, 1523, 3825, 5270, 1524, 2030, 2069, 5270, 1029, 1996, 25554, 3957, 2185, 1037, 2843, 1997, 9735, 1012, 14833, 20554, 2100, 15239, 1045, 1521, 2310, 2042, 6575, 1998, 3752, 4790, 2107, 2004, 2023, 1998, 2009, 1521, 1055, 2467, 2273, 2040, 4025, 2000, 5223, 25554, 1012, 1045, 1521, 2310, 2467, 2245, 6452, 2003, 2019, 13059, 4440, 1010, 1996, 2200, 3114, 2339, 2779, 2273, 2293, 2009, 1012, 2138, 2009, 1521, 1055, 2035, 2027, 1521, 2310, 2288, 1012, 1045, 3473, 2039, 1999, 1037, 2155, 2040, 7459, 3455, 1010, 1045, 2001, 2196, 1996, 2028, 2000, 5376, 2039, 1998, 2091, 2043, 1037, 12043, 24654, 5705, 1012, 2061, 2054, 1029, 1045, 7714, 2228, 2009, 1521, 1055, 17203, 1012, 2182, 3310, 25554, 1998, 1045, 2293, 2009, 2062, 2084, 2505, 1012, 2065, 2009, 3844, 2015, 2091, 1010, 1045, 2097, 2468, 1996, 10469, 2296, 2273, 2052, 2293, 2000, 6616, 2021, 2064, 1521, 1056, 1012, 6485, 6971, 6485, 6971, 2055, 13843, 3606, 2055, 2009, 1012, 5658, 1010, 2899, 16657, 9927, 1010, 10978, 2995, 6806, 7361, 2897, 1011, 1011, 2206, 1996, 1040, 1012, 1039, 1012, 4013, 3455, 6329, 2144, 1996, 17233, 1998, 5266, 2068, 1999, 9927, 2433, 2144, 2289, 1011, 1011, 5448, 1010, 4106, 1010, 20868, 2890, 28943, 5897, 1010, 4620, 1010, 2678, 1010, 7636, 1010, 7760, 18471, 2015, 1010, 2739, 1010, 2678, 1010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 3963, 19841, 2475, 1008, 1048, 1008, 1008, 1016, 1009, 1048, 1008, 1049, 1011, 1017, 1008, 1048, 1009, 1017, 1008, 1049, 1011, 1015, 23277, 2102, 1049, 1029, 12904, 16086, 1008, 1048, 1008, 1008, 1016, 1009, 1048, 1009, 1017, 2424, 1996, 2353, 13819, 1997, 19015, 2475, 1008, 1049, 1008, 1008, 1017, 1008, 1058, 1008, 1008, 1017, 1009, 1049, 1008, 1008, 1017, 1008, 1058, 1011, 1018, 1008, 1049, 1008, 1008, 1016, 1008, 1058, 1008, 1008, 1017, 1011, 1016, 1008, 1049, 1008, 1008, 1016, 1008, 1058, 1008, 1008, 1016, 1011, 9176, 1008, 1049, 1008, 1058, 1008, 1008, 1016, 1011, 1058, 1008, 1008, 1017, 23277, 2102, 1058, 1012, 14506, 16703, 1008, 1049, 1008, 1008, 1017, 1011, 2484, 1008, 1049, 1008, 1008, 1016, 1011, 1020, 21032, 19342, 2629, 1008, 1042, 1008, 1008, 1017, 1008, 1054, 1008, 1008, 1017, 1009, 1016, 1008, 1042, 1008, 1054, 1008, 1008, 1017, 1009, 17262, 2487, 1008, 1054, 1008, 1008, 1017, 23277, 2102, 1042, 1012, 11518, 26187, 1008, 1042, 1008, 1008, 1016, 1008, 1054, 1008, 1008, 1017, 1009, 1016, 1008, 1054, 1008, 1008, 1017, 2424, 1996, 2353, 13819, 1997, 1016, 1008, 1052, 1008, 1008, 1020, 1009, 27954, 1008, 1052, 1008, 1008, 1019, 1009, 2403, 1008, 1052, 1008, 1008, 1018, 1009, 1052, 1008, 1008, 1016, 1009, 4090, 2581, 1008, 1052, 1009, 1016, 23277, 2102, 1052, 1012, 11212, 1008, 1052, 1008, 1008, 1017, 1009, 2355, 2692, 1008, 1052, 1008, 1008, 1016, 1009, 27954, 1008, 1052, 2054, 2003, 1996, 2117, 13819, 1997, 17403, 2549, 1008, 1044, 1008, 1008, 1019, 1009, 1018, 1008, 1044, 1008, 1008, 1018, 1011, 2340, 1008, 1044, 1008, 1008, 1016, 1011, 6282, 2575, 19841, 2509, 1008, 1044, 23277, 2102, 1044, 1029, 26257, 17914, 1008, 1044, 1008, 1008, 1017, 1009, 4466, 1008, 1044, 1008, 1008, 1016, 1011, 2570, 2424, 1996, 2353, 13819, 1997, 1011, 25186, 23833, 1008, 1043, 1008, 1008, 1017, 1011, 24426, 22025, 1008, 1043, 1008, 1008, 1016, 23277, 2102, 1043, 1012, 1011, 27878, 16068, 2575, 2054, 2003, 1996, 2034, 13819, 1997, 1011, 18540, 16086, 1008, 1048, 1008, 1062, 1011, 19540, 2575, 1008, 1048, 1011, 1062, 23277, 2102, 1062, 1029, 1011, 18540, 16086, 1008, 1048, 1011, 1015, 2424, 1996, 2353, 13819, 1997, 1011, 4700, 16068, 2581, 1008, 1044, 1008, 1008, 1019, 1009, 8574, 1008, 1044, 1008, 1008, 1016, 1009, 1018, 1008, 1044, 1011, 1020, 23277, 2102, 1044, 1012, 1011, 26267, 2683, 20958, 2692, 1008, 1044, 1008, 1008, 1016, 2054, 2003, 1996, 2353, 13819, 1997, 1011, 1016, 1008, 1059, 1008, 1008, 1019, 1011, 2321, 1008, 1059, 1008, 1008, 1018, 1009, 16798, 2509, 1008, 1059, 1008, 1008, 1017, 1011, 5179, 2683, 2581, 2575, 1008, 1059, 1008, 1008, 1016, 1009, 1017, 1029, 1011, 6036, 1008, 1059, 1008, 1008, 1016, 1011, 9475, 1008, 1059, 1009, 12606, 22025, 2054, 2003, 1996, 2353, 13819, 1997, 1017, 1008, 1040, 1008, 1008, 1017, 1008, 1050, 1008, 1008, 1016, 1009, 2484, 1008, 1040, 1008, 1008, 1017, 1008, 1050, 1011, 20003, 1008, 1040, 1008, 1008, 1017, 1011, 2570, 1008, 1040, 1008, 1008, 1016, 1008, 1050, 1008, 1008, 1016, 1009, 2410, 1008, 1040, 1008, 1050, 1008, 1008, 1016, 1009, 1050, 1008, 1008, 1016, 1009, 1016, 23277, 2102, 1040, 1029, 2324, 1008, 1050, 1008, 1008, 1016, 1009, 14748, 1008, 1050, 1011, 12963, 2620, 2054, 2003, 1996, 2117, 13819, 1997, 6390, 1008, 1040, 1008, 1008, 1017, 1009, 1018, 1008, 1040, 1008, 1008, 1016, 1008, 1055, 1011, 5179, 1008, 1040, 1008, 1008, 1016, 1011, 1017, 1008, 1040, 1008, 1055, 1009, 1019, 1008, 1040, 1011, 1016, 1008, 1055, 1009, 19594, 23277, 2102, 1040, 1029, 4413, 2575, 1008, 1040, 1009, 1022, 1008, 1055, 1011, 11176, 2054, 2003, 1996, 2117, 13819, 1997, 6306, 24087, 1008, 1040, 1008, 1008, 1017, 1009, 23628, 2581, 2475, 1008, 1040, 1009, 1017, 1029, 12104, 2581, 2683, 14142, 1008, 1040, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 25162, 21486, 1008, 1056, 1008, 1008, 1018, 1009, 1018, 1008, 1056, 1008, 1008, 1017, 1011, 4185, 2581, 21486, 1008, 1056, 1011, 1016, 23277, 2102, 1056, 1029, 1011, 26499, 28311, 2475, 1008, 1056, 1008, 1008, 1016, 1009, 2484, 1008, 1056, 2424, 1996, 2034, 13819, 1997, 1011, 23477, 1008, 1054, 1008, 1008, 1016, 1008, 1058, 1011, 1021, 1008, 1054, 1008, 1058, 1008, 1008, 1016, 1011, 4029, 22932, 1008, 1058, 1008, 1008, 1016, 1009, 1058, 23277, 2102, 1054, 1012, 1011, 25256, 2620, 1008, 1054, 1008, 1058, 1011, 1021, 1008, 1058, 1008, 1008, 1016, 2054, 2003, 1996, 2353, 13819, 1997, 4720, 1008, 1049, 1008, 1008, 1019, 1008, 1051, 1009, 4413, 1008, 1049, 1008, 1008, 1019, 1011, 2340, 1008, 1049, 1008, 1008, 1017, 1009, 1049, 1008, 1008, 1016, 1008, 1051, 1009, 1016, 1008, 1049, 1008, 1051, 1009, 1018, 1008, 1049, 1009, 5989, 1008, 1051, 23277, 2102, 1049, 1029, 21036, 2692, 1008, 1049, 1008, 1008, 1016, 1008, 1051, 1009, 22898, 2692, 1008, 1049, 1008, 1008, 1016, 1011, 5764, 2424, 1996, 2353, 13819, 1997, 1011, 6079, 2683, 19481, 2487, 1008, 1050, 1008, 1008, 1017, 1009, 16621, 2683, 1008, 1050, 1008, 1008, 1016, 1009, 23768, 1008, 1050, 1009, 1016, 23277, 2102, 1050, 1012, 1011, 4261, 16048, 10790, 2575, 2054, 2003, 1996, 2034, 13819, 1997, 1011, 1050, 1008, 1008, 1018, 1011, 1050, 1008, 1008, 1017, 1011, 13285, 2692, 2683, 1008, 1050, 1011, 4464, 2620, 20842, 1029, 1011, 1018, 1008, 1050, 1008, 1008, 1017, 1011, 1017, 1008, 1050, 1008, 1008, 1016, 1011, 13285, 2692, 2683, 2054, 2003, 1996, 13819, 1997, 1011, 3938, 12740, 22022, 1008, 1040, 1008, 1061, 1011, 27908, 2683, 27531, 1008, 1040, 23277, 2102, 1061, 1029, 1011, 3938, 12740, 22022, 1008, 1040, 2054, 2003, 1996, 2034, 13819, 1997, 10977, 19317, 2683, 1008, 1038, 1008, 1008, 1018, 1009, 21757, 2692, 22275, 23277, 2102, 1038, 1029, 5824, 26976, 2683, 16048, 1008, 1038, 1008, 1008, 1017, 2424, 1996, 2117, 13819, 1997, 5139, 1008, 1055, 1008, 1008, 1016, 1009, 7886, 14142, 1008, 1055, 1011, 1015, 23277, 2102, 1055, 1012, 10715, 2054, 2003, 1996, 13819, 1997, 5018, 23352, 1008, 1057, 1008, 1008, 1017, 1011, 23980, 2692, 2581, 2620, 2620, 1029, 3429, 19317, 2629, 1008, 1057, 1008, 1008, 1016, 2424, 1996, 2117, 13819, 1997, 1020, 1008, 1039, 1008, 1008, 1017, 1008, 1040, 1008, 1008, 1017, 1008, 1047, 1009, 1039, 1008, 1008, 1017, 1008, 1040, 1008, 1047, 1009, 1020, 1008, 1039, 1008, 1008, 1016, 1008, 1040, 1008, 1047, 1011, 28288, 1008, 1039, 1008, 1040, 1008, 1008, 1017, 1009, 1039, 1008, 1040, 1008, 1008, 1016, 1008, 1047, 1009, 24568, 1008, 1039, 1008, 1040, 1008, 1047, 23277, 2102, 1040, 1012, 4029, 1008, 1039, 1008, 1008, 1017, 1008, 1040, 1008, 1047, 1011, 5585, 27009, 1008, 1039, 1008, 1040, 1009, 1016, 1008, 1039, 1008, 1047, 2054, 2003, 1996, 13819, 1997, 1011, 24232, 2549, 1008, 1042, 1008, 1008, 1016, 1008, 1044, 1008, 1008, 1017, 1009, 3938, 1008, 1042, 1008, 1008, 1016, 1008, 1046, 1011, 5824, 1008, 1042, 1008, 1044, 1008, 1008, 1017, 1011, 1016, 1008, 1044, 1008, 1008, 1017, 1008, 1046, 1009, 1017, 1008, 1044, 1008, 1008, 1016, 1008, 1046, 1011, 6070, 1008, 1046, 23277, 2102, 1046, 1029, 3938, 1008, 1042, 1008, 1008, 1016, 1011, 1016, 1008, 1044, 1008, 1008, 1017, 1009, 1017, 1008, 1044, 1008, 1008, 1016, 1011, 6070, 2424, 1996, 2353, 13819, 1997, 29562, 2683, 2683, 28756, 1008, 1037, 1008, 1008, 1017, 1009, 6109, 1008, 1037, 1008, 1008, 1016, 1009, 1017, 1008, 1037, 1011, 7886, 1012, 2268, 2683, 2581, 2683, 2575, 2424, 1996, 2117, 13819, 1997, 4229, 26224, 2683, 1008, 1047, 1008, 1008, 1017, 1009, 1016, 1008, 1047, 1008, 1008, 1016, 1011, 4720, 22907, 1008, 1047, 1011, 1015, 23277, 2102, 1047, 1012, 11816, 2683, 2683, 2549, 1008, 1047, 1009, 1018, 2424, 1996, 2353, 13819, 1997, 1011, 4868, 23499, 1008, 1055, 1008, 1008, 1019, 1011, 4413, 1008, 1055, 1008, 1008, 1017, 1011, 13739, 12521, 1008, 1055, 1008, 1008, 1016, 23277, 2102, 1055, 1012, 1011, 24232, 22022, 2692, 1008, 1055, 1008, 1008, 1016, 1011, 22898, 2424, 1996, 2353, 13819, 1997, 1016, 1008, 1044, 1008, 1008, 1018, 1009, 8698, 1008, 1044, 1008, 1008, 1017, 1011, 27200, 23352, 2629, 1008, 1044, 1008, 1008, 1016, 23277, 2102, 1044, 1012, 4466, 1008, 1044, 1009, 12875, 2692, 2054, 2003, 1996, 13819, 1997, 2570, 1008, 1050, 1008, 1008, 1016, 1011, 6445, 2620, 1008, 1050, 1011, 4749, 2620, 21926, 1029, 4008, 1008, 1050, 1011, 6445, 2620, 2054, 2003, 1996, 2034, 13819, 1997, 19627, 1008, 1046, 1008, 1053, 1008, 1057, 1008, 1062, 1009, 1046, 1008, 1057, 1008, 1008, 1016, 1009, 25534, 2620, 1008, 1046, 1008, 1057, 1008, 1062, 1009, 15471, 1008, 1053, 1008, 1057, 1008, 1008, 1016, 1008, 1062, 1009, 1016, 1008, 1057, 1008, 1062, 23277, 2102, 1053, 1029, 19627, 1008, 1046, 1008, 1057, 1008, 1062, 1009, 15471, 1008, 1057, 1008, 1008, 1016, 1008, 1062, 2424, 1996, 2353, 13819, 1997, 1016, 1008, 1060, 1008, 1008, 1019, 1011, 10550, 22025, 2487, 1008, 1060, 1008, 1008, 1017, 1011, 18171, 1008, 1060, 1008, 1008, 1016, 1011, 22018, 1008, 1060, 23277, 2102, 1060, 1012, 6036, 1008, 1060, 1008, 1008, 1016, 1011, 4185, 20958, 20842, 2424, 1996, 2117, 13819, 1997, 1011, 17295, 2683, 2620, 1008, 1055, 1008, 1008, 1017, 1009, 20304, 2692, 1008, 1055, 1012, 1011, 24841, 27814, 2620, 1008, 1055, 2054, 2003, 1996, 2353, 13819, 1997, 1020, 1008, 1045, 1008, 1008, 1018, 1008, 1054, 1011, 11899, 24096, 1008, 1045, 1008, 1008, 1017, 1009, 27173, 2683, 1008, 1045, 1008, 1008, 1016, 1009, 1022, 1008, 1045, 1008, 1054, 23277, 2102, 1045, 1029, 14748, 1008, 1045, 1008, 1054, 1011, 6146, 17914, 2575, 2424, 1996, 2117, 13819, 1997, 1011, 1042, 1008, 1045, 1008, 1008, 1016, 1008, 1062, 1008, 1008, 1017, 1009, 1018, 1008, 1042, 1008, 1045, 1008, 1008, 1016, 1011, 4008, 1008, 1042, 1008, 1045, 1008, 1062, 1008, 1008, 1016, 1009, 1017, 1008, 1042, 1008, 1045, 1008, 1062, 1009, 1042, 1008, 1062, 1008, 1008, 1017, 1011, 4805, 2575, 1008, 1045, 1008, 1008, 1016, 1009, 1016, 1008, 1045, 1008, 1062, 1008, 1008, 1017, 1009, 1017, 1008, 1062, 1008, 1008, 1017, 23277, 2102, 1045, 1012, 1011, 1016, 1008, 1042, 1008, 1062, 1008, 1008, 1017, 1009, 1022, 1008, 1042, 1011, 6109, 2475, 21032, 1011, 14010, 12521, 2692, 1008, 1048, 1008, 1008, 1017, 1011, 1048, 1008, 1008, 1016, 1011, 5139, 21472, 2692, 2581, 2007, 4847, 2000, 1048, 1012, 1011, 4261, 2620, 21619, 2692, 1008, 1048, 1008, 1008, 1016, 1011, 1016, 1008, 1048, 21032, 1016, 1008, 1043, 1008, 1008, 1016, 1009, 18512, 17788, 1008, 1043, 1009, 23532, 2581, 2475, 23277, 2102, 1043, 1012, 1018, 1008, 1043, 1009, 18512, 17788, 21032, 1011, 11212, 1008, 1049, 1008, 1008, 1016, 1011, 4464, 1008, 1049, 1009, 4466, 19961, 2475, 23277, 2102, 1049, 1012, 1011, 17295, 1008, 1049, 1011, 4464, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 1016, 1008, 1045, 1008, 1008, 1019, 1008, 1056, 1008, 1059, 1011, 21777, 2581, 1008, 1045, 1008, 1008, 1016, 1008, 1056, 1008, 1059, 1011, 1045, 1008, 1008, 1016, 1008, 1056, 1009, 1045, 1008, 1056, 1008, 1059, 1011, 1016, 1008, 1045, 1008, 1056, 1011, 6282, 1008, 1045, 1011, 1017, 1008, 1056, 23277, 2102, 1045, 1029, 1011, 2871, 1008, 1045, 1008, 1008, 1017, 1008, 1056, 1008, 1059, 1011, 5401, 16932, 1008, 1056, 1008, 1059, 1011, 1016, 1008, 1056, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 18582, 1008, 1042, 1008, 1008, 1017, 1008, 1051, 1011, 2871, 1008, 1042, 1008, 1008, 1017, 1011, 1016, 1008, 1042, 1008, 1008, 1016, 1008, 1051, 1011, 1017, 1008, 1042, 1008, 1051, 1011, 1042, 1009, 2410, 1008, 1051, 1011, 2385, 23277, 2102, 1042, 1029, 1011, 7886, 2549, 1008, 1042, 1008, 1051, 1011, 11212, 1008, 1042, 1011, 1018, 1008, 1051, 21032, 1011, 5989, 1008, 1038, 1008, 1040, 1008, 1044, 1008, 1008, 1016, 1009, 15028, 2475, 1008, 1038, 1008, 1040, 1009, 14078, 2487, 1008, 1038, 1008, 1044, 1009, 17317, 1008, 1038, 1009, 1016, 1008, 1040, 1008, 1044, 1008, 1008, 1017, 2007, 4847, 2000, 1044, 1012, 1011, 19955, 1008, 1038, 1008, 1040, 1008, 1044, 1009, 14078, 2487, 1008, 1038, 1009, 1020, 1008, 1040, 1008, 1044, 1008, 1008, 1016, 2054, 2003, 1996, 2117, 13819, 1997, 4724, 23777, 2683, 1008, 1052, 1008, 1008, 1017, 1009, 1019, 1008, 1052, 1008, 1008, 1016, 1009, 5139, 1008, 1052, 1011, 5141, 2620, 1029, 13539, 2575, 22022, 1008, 1052, 1009, 2184, 2424, 1996, 2353, 13819, 1997, 1011, 28818, 1008, 1043, 1008, 1008, 1020, 1009, 1020, 1008, 1043, 1008, 1008, 1017, 1011, 26953, 23352, 1008, 1043, 1008, 1008, 1016, 1012, 1011, 4131, 11387, 1008, 1043, 1008, 1008, 1017, 1009, 4029, 2424, 1996, 2353, 13819, 1997, 15017, 23499, 2581, 1008, 1047, 1008, 1008, 1018, 1008, 1062, 1008, 1008, 1016, 1011, 1016, 1008, 1047, 1008, 1008, 1018, 1011, 2184, 1008, 1047, 1008, 1008, 1016, 1008, 1062, 1009, 1016, 1008, 1047, 1008, 1008, 1016, 1011, 6365, 1008, 1062, 1008, 1008, 1016, 1011, 1062, 23277, 2102, 1047, 1012, 19342, 23352, 22407, 1008, 1047, 1008, 1062, 1008, 1008, 1016 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1061, 1027, 1011, 1019, 1008, 1048, 1011, 2324, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1048, 1998, 4464, 2575, 1029, 1020, 6814, 2184, 1008, 1052, 1011, 10545, 2629, 1027, 1011, 2321, 1008, 1052, 1011, 2184, 1008, 1052, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1052, 1998, 21211, 2683, 1012, 6191, 6814, 1011, 2656, 1008, 1048, 1011, 1021, 1008, 1048, 1009, 5585, 2575, 1027, 1011, 8746, 27009, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 4293, 17788, 1998, 1048, 1029, 12862, 6814, 1011, 1016, 1008, 1039, 1011, 26637, 1027, 1011, 1060, 1010, 22115, 1008, 1060, 1011, 4229, 26224, 1027, 22777, 1008, 1060, 1009, 1019, 1008, 1039, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1060, 1998, 2403, 1012, 2403, 2292, 1044, 1006, 1046, 1007, 1027, 1021, 1008, 1046, 1008, 1008, 1016, 1009, 8698, 1008, 1046, 1011, 3963, 2475, 1008, 1046, 1011, 1018, 1008, 1046, 1008, 1008, 1016, 1009, 3486, 2683, 1008, 1046, 1012, 2292, 1051, 2022, 1044, 1006, 1011, 1020, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1020, 1998, 1051, 1029, 1020, 2292, 1058, 1006, 1045, 1007, 1027, 1020, 1012, 2292, 1047, 1006, 1060, 1007, 1027, 1060, 1009, 1019, 1012, 2292, 1056, 1006, 1059, 1007, 1027, 1018, 1008, 1047, 1006, 1059, 1007, 1011, 1017, 1008, 1058, 1006, 1059, 1007, 1012, 2292, 1040, 2022, 1056, 1006, 1016, 1007, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1040, 1998, 7558, 1012, 2184, 6814, 1011, 1016, 1008, 1040, 1027, 1011, 1019, 1008, 1040, 1009, 14378, 1012, 2292, 1056, 1027, 14748, 23352, 2509, 1009, 1011, 16065, 2683, 21619, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1040, 1998, 1056, 1012, 4724, 2292, 1057, 1027, 10630, 2692, 2549, 1009, 1011, 5824, 16932, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1057, 1998, 7287, 1029, 7287, 6814, 1011, 27200, 2581, 1027, 2423, 1008, 1051, 1011, 21005, 20958, 1012, 6814, 1014, 1027, 1011, 3486, 1008, 1058, 1009, 1051, 1009, 19446, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 1058, 1998, 5018, 1012, 2382, 2292, 1053, 1006, 1062, 1007, 1027, 1062, 1011, 2260, 1012, 2292, 1047, 2022, 1053, 1006, 2321, 1007, 1012, 6814, 1011, 1016, 1011, 6535, 1027, 1011, 1047, 1008, 1049, 1012, 2292, 1060, 1027, 1011, 8746, 2581, 1009, 11118, 2487, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1049, 1998, 1060, 1029, 2676, 2292, 1037, 2022, 1017, 1013, 1006, 1006, 1011, 2340, 1007, 1013, 1006, 4185, 16147, 22907, 1013, 1006, 1011, 4464, 1007, 1007, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 6163, 1998, 1037, 1029, 6163, 2292, 1055, 2022, 1006, 1011, 6391, 16703, 2620, 1007, 1013, 1006, 1011, 6146, 2475, 1007, 1011, 1006, 1016, 1009, 1006, 1011, 1015, 1007, 1013, 1006, 1006, 1011, 1017, 1007, 1013, 1006, 1011, 2184, 1007, 1007, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 24841, 1998, 1055, 1029, 2385, 2292, 1062, 1006, 1059, 1007, 1027, 1016, 1008, 1059, 1011, 1015, 1012, 6814, 1040, 1027, 1011, 1014, 1009, 1015, 1012, 2292, 1061, 2022, 1062, 1006, 1040, 1007, 1012, 2292, 1060, 2022, 1006, 1011, 29567, 2692, 1007, 1013, 1006, 1011, 2753, 1007, 1011, 1061, 1013, 1006, 1011, 1019, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1020, 1998, 1060, 1029, 1020, 2292, 1043, 2022, 1011, 2385, 1009, 29140, 1013, 8746, 1011, 17943, 1013, 1006, 1011, 2654, 1007, 1012, 6814, 1048, 1027, 1019, 1008, 1049, 1009, 1017, 1010, 1019, 1008, 1048, 1011, 1019, 1011, 2184, 1027, 1011, 1016, 1008, 1049, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1043, 1998, 1048, 1029, 1017, 2292, 1053, 1006, 1044, 1007, 1027, 1011, 1044, 1009, 1015, 1012, 2292, 1057, 1006, 1062, 1007, 1027, 3590, 1008, 1062, 1011, 4029, 1012, 2292, 1048, 1027, 1011, 2871, 1009, 4601, 1012, 2292, 1055, 1006, 1060, 1007, 1027, 1048, 1008, 1057, 1006, 1060, 1007, 1009, 1017, 1008, 1053, 1006, 1060, 1007, 1012, 2292, 1050, 2022, 1055, 1006, 1019, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 2403, 1998, 1050, 1029, 2403, 2292, 1042, 1006, 1038, 1007, 1027, 1016, 1008, 1038, 1008, 1008, 1017, 1009, 5179, 1008, 1038, 1008, 1008, 1016, 1009, 4749, 1008, 1038, 1009, 4464, 1012, 2292, 1043, 2022, 1042, 1006, 1011, 2676, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1020, 1998, 1043, 1029, 1020, 6814, 1014, 1027, 2340, 1008, 1039, 1011, 2459, 1011, 4229, 1012, 6814, 1011, 2260, 1008, 1061, 1009, 5354, 2629, 1027, 1039, 1008, 1061, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1061, 1998, 1021, 1012, 1021, 2292, 1057, 2022, 2654, 1013, 1006, 1011, 2260, 1007, 1008, 1017, 1013, 1006, 1011, 1015, 1007, 1012, 2292, 1053, 2022, 1057, 1009, 1006, 1011, 1015, 1011, 1006, 1011, 1017, 1009, 1015, 1007, 1007, 1013, 1015, 1012, 2292, 1060, 2022, 1006, 1011, 1018, 1007, 1013, 1006, 1006, 1011, 1021, 1007, 1013, 1006, 28469, 2575, 1013, 1053, 1007, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1060, 1998, 2656, 1029, 2656, 2292, 1062, 1027, 4261, 1009, 1011, 3486, 1012, 6814, 1011, 1019, 1008, 1051, 1011, 2676, 1027, 1011, 1062, 1012, 2292, 1053, 2022, 1006, 1051, 1011, 1011, 1018, 1007, 1013, 1006, 1006, 1011, 1015, 1007, 1013, 3486, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1019, 1998, 1053, 1029, 1019, 6814, 1011, 1020, 1027, 1054, 1010, 1017, 1008, 1042, 1009, 1016, 1008, 1054, 1027, 16202, 1011, 5585, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 15170, 2581, 2620, 1998, 1042, 1012, 4805, 2292, 1062, 1006, 1048, 1007, 1027, 1021, 1008, 1048, 1008, 1008, 1017, 1011, 1016, 1008, 1048, 1008, 1008, 1016, 1009, 1017, 1008, 1048, 1009, 1015, 1012, 2292, 1046, 2022, 1062, 1006, 1018, 1007, 1012, 2292, 1052, 1006, 1037, 1007, 1027, 14748, 2692, 1008, 1037, 1011, 19540, 2581, 1012, 2292, 1059, 2022, 1052, 1006, 1017, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1046, 1998, 1059, 1029, 2410, 6814, 12567, 1027, 1020, 1008, 1055, 1009, 8746, 1012, 2292, 1054, 2022, 1006, 1011, 1022, 1009, 1020, 1007, 1013, 1006, 1006, 1011, 1019, 1007, 1013, 1006, 3429, 1013, 1055, 1007, 1007, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 12567, 1998, 1054, 1012, 1023, 2292, 1056, 1006, 1062, 1007, 1027, 1011, 1062, 1008, 1008, 1017, 1009, 2324, 1008, 1062, 1008, 1008, 1016, 1009, 4601, 1008, 1062, 1009, 1021, 1012, 6814, 1014, 1008, 1042, 1027, 1011, 1018, 1008, 1042, 1011, 2484, 1012, 2292, 1052, 2022, 1011, 1017, 1009, 1015, 1011, 14078, 1013, 1042, 1012, 2292, 1037, 2022, 1056, 1006, 1052, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1037, 1998, 6191, 1029, 1023, 2292, 1056, 1006, 1062, 1007, 1027, 1011, 6640, 2620, 1008, 1062, 1008, 1008, 1017, 1009, 1016, 1008, 1062, 1008, 1008, 1016, 1009, 1020, 1008, 1062, 1011, 2184, 1012, 2292, 1061, 2022, 1056, 1006, 1011, 1016, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1061, 1998, 2382, 1029, 2382, 6814, 2184, 1008, 1050, 1011, 2385, 1008, 1050, 1009, 4029, 1027, 1014, 1012, 6814, 1042, 1011, 1017, 1008, 1052, 1011, 3515, 1027, 1014, 1010, 1011, 1050, 1008, 1042, 1009, 1023, 1008, 1042, 1027, 1052, 1009, 14168, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1042, 1998, 2423, 1029, 2423, 2292, 1056, 1006, 1037, 1007, 1027, 1020, 1008, 1037, 1011, 4464, 1012, 2292, 1058, 2022, 1056, 1006, 1020, 1007, 1012, 2292, 1048, 1006, 1044, 1007, 1027, 1011, 1021, 1008, 1044, 1011, 2340, 1012, 2292, 1038, 2022, 1048, 1006, 1058, 1007, 1012, 6814, 1038, 1008, 1045, 1009, 1018, 1027, 2484, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1045, 1998, 2656, 1012, 1016, 2292, 1053, 1027, 1011, 22060, 22394, 1009, 22060, 28154, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 1053, 1998, 8746, 16576, 1012, 2410, 2292, 1040, 2022, 1006, 1011, 18914, 2575, 1007, 1013, 1006, 1011, 14506, 2692, 1007, 1008, 1006, 1011, 17317, 1007, 1013, 1006, 1011, 1023, 1007, 1012, 2292, 1049, 1006, 1061, 1007, 1027, 1011, 1016, 1008, 1061, 1008, 1008, 1017, 1011, 1022, 1008, 1061, 1011, 1018, 1012, 6814, 1018, 1008, 1042, 1011, 1017, 1027, 1011, 2603, 1012, 2292, 1060, 2022, 1049, 1006, 1042, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 1060, 1998, 1040, 1029, 2656, 2292, 1060, 2022, 1006, 1006, 1011, 2410, 1007, 1013, 6275, 1007, 1013, 1006, 1015, 1013, 1006, 1011, 2382, 1007, 1007, 1012, 6814, 1060, 1008, 1051, 1027, 1018, 1008, 1049, 1009, 1049, 1011, 5585, 2692, 1010, 1018, 1008, 1049, 1011, 1019, 1008, 1051, 1011, 6535, 2475, 1027, 1014, 1012, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 2324, 1998, 1049, 1029, 2324, 2292, 1048, 1006, 1052, 1007, 1027, 2861, 1008, 1052, 1008, 1008, 1016, 1011, 16065, 1008, 1052, 1009, 5179, 2629, 1012, 2292, 1060, 2022, 1048, 1006, 1019, 1007, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1060, 1998, 18171, 1012, 8732, 6814, 1014, 1027, 1019, 1008, 1062, 1009, 1016, 1008, 1050, 1011, 4029, 2575, 1010, 1011, 1021, 1011, 6079, 1027, 1011, 1062, 1011, 1017, 1008, 1050, 1012, 2292, 1056, 1027, 1062, 1009, 20311, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 2340, 1998, 1056, 1012, 2340, 6814, 1019, 1008, 1059, 1011, 15028, 1027, 1011, 1019, 1008, 1046, 1011, 2410, 1010, 1011, 1018, 1008, 1059, 1011, 6273, 1027, 1011, 1017, 1008, 1046, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 1046, 1998, 4413, 2575, 1012, 1020, 2292, 1057, 1006, 1062, 1007, 1027, 1011, 1062, 1008, 1008, 1017, 1011, 5824, 1008, 1062, 1008, 1008, 1016, 1009, 21035, 1008, 1062, 1009, 6584, 1012, 2292, 1058, 2022, 1057, 1006, 1011, 4293, 1007, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 4720, 2549, 1998, 1058, 1012, 1018, 2292, 1056, 1006, 1048, 1007, 2022, 1996, 2117, 13819, 1997, 2603, 1008, 1048, 1009, 1014, 1009, 1021, 1013, 1016, 1008, 1048, 1008, 1008, 1017, 1009, 1016, 1008, 1048, 1008, 1008, 1016, 1012, 2292, 1059, 2022, 1056, 1006, 1015, 1007, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 2184, 1998, 1059, 1012, 1019, 6814, 1014, 1027, 1011, 5585, 1008, 1052, 1009, 8746, 1008, 1052, 1011, 19492, 1012, 6814, 1011, 1020, 1008, 1039, 1011, 1052, 1008, 1039, 1027, 1011, 8746, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 19883, 1998, 1039, 1012, 1017, 6814, 1011, 4029, 1008, 1059, 1009, 1019, 1027, 1011, 2871, 1008, 1059, 1009, 20500, 1012, 2292, 1050, 2022, 1006, 1006, 1011, 23785, 1007, 1013, 1006, 1011, 1019, 1007, 1007, 1013, 1006, 1023, 1013, 5764, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1050, 1998, 1059, 1029, 4805, 6814, 6163, 1027, 1054, 1011, 1016, 1008, 1050, 1010, 1014, 1027, 1011, 1017, 1008, 1054, 1009, 1050, 1009, 15017, 2581, 1011, 11502, 2575, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1054, 1998, 6205, 2509, 1029, 2340, 2292, 1047, 1027, 4261, 1011, 2656, 1012, 6814, 1011, 2538, 1008, 1060, 1027, 1011, 4464, 21619, 1011, 6421, 2575, 2475, 1012, 2292, 1053, 1027, 1011, 10332, 1009, 1060, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1047, 1998, 1053, 1012, 2340, 2292, 1062, 1027, 12606, 16932, 1011, 9402, 28756, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 13913, 1998, 1062, 1012, 3943, 2292, 1058, 1006, 1039, 1007, 1027, 1011, 2340, 1008, 1039, 1011, 4724, 1012, 2292, 1051, 1006, 1040, 1007, 1027, 1011, 1040, 1008, 1008, 1017, 1011, 1020, 1008, 1040, 1008, 1008, 1016, 1009, 4583, 1008, 1040, 1011, 1022, 1012, 2292, 1056, 2022, 1051, 1006, 1019, 1007, 1012, 2292, 1048, 2022, 1058, 1006, 1056, 1007, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 10715, 1998, 1048, 1012, 1023, 6814, 1011, 1018, 1008, 1059, 1009, 1038, 1011, 24673, 1027, 1014, 1010, 1014, 1027, 1018, 1008, 1059, 1011, 1017, 1008, 1038, 1009, 1038, 1009, 4464, 2549, 1012, 2292, 1053, 1027, 1011, 2340, 1011, 1059, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1053, 1998, 12457, 2549, 1029, 6070, 2292, 1043, 2022, 1006, 1014, 1011, 1015, 1011, 1011, 1015, 1007, 1009, 3486, 1012, 2292, 1061, 1006, 1062, 1007, 1027, 1017, 1008, 1062, 1008, 1008, 1017, 1009, 4805, 1008, 1062, 1008, 1008, 1016, 1011, 3486, 1008, 1062, 1011, 2410, 1012, 2292, 1037, 2022, 1061, 1006, 1011, 2385, 1007, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1037, 1998, 1043, 1012, 3486, 6814, 1011, 2385, 1027, 1018, 1008, 1061, 1009, 1019, 1008, 1040, 1010, 1011, 1061, 1011, 1040, 1027, 1017, 1008, 1040, 1009, 2321, 1012, 2292, 1058, 2022, 1006, 1061, 1013, 1017, 1007, 1013, 1006, 1011, 1019, 1008, 1016, 1013, 1006, 1011, 12567, 2692, 1007, 1007, 1012, 2292, 1053, 1027, 1058, 1009, 1011, 2676 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 7000, 2000, 1996, 15895, 4007, 3192, 1006, 2004, 2546, 1007, 2104, 2028, 1008, 2030, 2062, 12130, 6105, 10540, 1012, 2156, 1996, 5060, 5371, 1008, 5500, 2007, 2023, 2147, 2005, 3176, 2592, 1008, 4953, 9385, 6095, 1012, 1996, 2004, 2546, 15943, 2023, 5371, 1008, 2000, 2017, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1008, 1000, 6105, 1000, 1007, 1025, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 1008, 2007, 1996, 6105, 1012, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 1008, 1008, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 1008, 1008, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 1008, 4007, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1008, 1000, 2004, 2003, 1000, 3978, 1010, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 1008, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 2156, 1996, 6105, 2005, 1996, 1008, 3563, 2653, 8677, 6656, 2015, 1998, 12546, 1008, 2104, 1996, 6105, 1012, 1008, 1013, 7427, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1025, 12324, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 10061, 4135, 21940, 2361, 1012, 3940, 1025, 12324, 9262, 1012, 11374, 1012, 25416, 1012, 5410, 2890, 25523, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 1008, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 16483, 1012, 4654, 8586, 16161, 2099, 1025, 12324, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 8875, 1025, 1013, 1008, 1008, 1037, 2569, 4180, 7375, 2008, 2064, 2022, 2979, 2000, 10061, 4135, 21940, 2361, 1008, 1998, 3640, 4725, 2005, 8819, 1997, 12107, 1998, 13971, 12107, 1012, 1008, 1026, 3653, 1028, 1008, 1063, 1030, 4957, 6013, 8663, 6528, 2102, 1065, 24582, 1027, 2047, 1063, 1030, 4957, 6013, 8663, 6528, 2102, 1001, 6013, 8663, 6528, 2102, 1006, 1007, 6013, 8663, 6528, 2102, 1006, 1007, 1065, 1025, 1008, 1063, 1030, 4957, 2298, 6279, 1065, 2298, 6279, 1027, 2047, 1063, 1030, 4957, 10061, 4135, 21940, 2361, 1001, 10061, 4135, 21940, 2361, 1006, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 10061, 4135, 21940, 2361, 1012, 4180, 1007, 10061, 4135, 21940, 2361, 1006, 24582, 1007, 1065, 1025, 1008, 1008, 24582, 1012, 1063, 1030, 4957, 1001, 5587, 1006, 9262, 1012, 11374, 1012, 4874, 1007, 5587, 1006, 2047, 4874, 1006, 1007, 1007, 1065, 1025, 1008, 24582, 1012, 1063, 1030, 4957, 1001, 5587, 1006, 9262, 1012, 11374, 1012, 4874, 1007, 5587, 1006, 2047, 9812, 1006, 1012, 1012, 1012, 1007, 1007, 1065, 1025, 1008, 1008, 1063, 1030, 4957, 9262, 1012, 22091, 2102, 1012, 9812, 9812, 1065, 1996, 22172, 1027, 2298, 6279, 1012, 2298, 6279, 1006, 1063, 1030, 4957, 9262, 1012, 22091, 2102, 1012, 9812, 9812, 1065, 1012, 2465, 1007, 1025, 1008, 1026, 1013, 3653, 1028, 1008, 1008, 1030, 3166, 15723, 23085, 10722, 2721, 2818, 1008, 1008, 1030, 2144, 1015, 1012, 2423, 1008, 1013, 2270, 2345, 2465, 6013, 8663, 6528, 2102, 8908, 10061, 4135, 21940, 2361, 1012, 4180, 1063, 1013, 1008, 1008, 1008, 3443, 1037, 2047, 1010, 4064, 4180, 1012, 1008, 1013, 2270, 6013, 8663, 6528, 2102, 1006, 1007, 1063, 1065, 1013, 1008, 1008, 9005, 1037, 4180, 3378, 2007, 2019, 4654, 8586, 16161, 2099, 2000, 5047, 18365, 1008, 1997, 3431, 1012, 1008, 1030, 11498, 2213, 2025, 8757, 2378, 1996, 4654, 8586, 16161, 2099, 2000, 2025, 8757, 3431, 1999, 1008, 1030, 2144, 1021, 1012, 2385, 1008, 1013, 2270, 6013, 8663, 6528, 2102, 1006, 4654, 8586, 16161, 2099, 2025, 8757, 2378, 1007, 1063, 3565, 1006, 2025, 8757, 2378, 1007, 1025, 1065, 1013, 1008, 1008, 9909, 2019, 6013, 2000, 1996, 2298, 6279, 1012, 2065, 1026, 3642, 1028, 16021, 2102, 1026, 1013, 3642, 1028, 2525, 6526, 1008, 1999, 1996, 2298, 6279, 1006, 9945, 2003, 4340, 2011, 4874, 1005, 1055, 1063, 1030, 4957, 4874, 1001, 19635, 1006, 9262, 1012, 11374, 1012, 4874, 1007, 1065, 1008, 4118, 1007, 2059, 1996, 2047, 6013, 20736, 1996, 2214, 2028, 1008, 1999, 1996, 2298, 6279, 2021, 19373, 26828, 2015, 2024, 1026, 1045, 1028, 2025, 1026, 1013, 1045, 1028, 5359, 1999, 1008, 2107, 2553, 1012, 1008, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1013, 2270, 2345, 11675, 5587, 1006, 4874, 16021, 2102, 1007, 1063, 5587, 4502, 4313, 1006, 2047, 3722, 4221, 2213, 1026, 4874, 1028, 1006, 16021, 2102, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 9909, 1037, 22840, 6013, 2046, 1996, 2298, 6279, 1012, 1996, 1026, 3642, 1028, 16021, 2102, 1026, 1013, 3642, 1028, 1008, 6685, 2003, 2074, 1037, 3145, 1010, 2025, 1996, 5025, 3643, 2000, 3711, 1999, 1996, 2298, 6279, 1012, 1008, 1996, 3643, 2097, 2022, 2580, 2006, 5157, 1010, 2101, 2043, 2009, 2003, 2428, 2734, 1008, 2011, 4214, 1026, 3642, 1028, 10463, 2953, 1026, 1013, 3642, 1028, 4725, 1012, 1008, 1026, 1052, 1028, 1008, 2023, 4118, 2003, 6179, 2000, 8536, 4325, 1997, 3082, 3635, 5200, 1012, 1008, 2612, 2074, 4236, 12038, 3145, 1998, 1037, 10463, 2953, 1012, 1008, 1026, 1052, 1028, 1008, 2000, 6366, 5068, 4874, 2013, 2298, 6279, 2224, 1063, 1030, 4957, 1001, 6366, 1006, 9262, 1012, 11374, 1012, 4874, 1010, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 6013, 8663, 6528, 2102, 1012, 10463, 2953, 1007, 1065, 1008, 2007, 1996, 2168, 9918, 1012, 1008, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1030, 11498, 2213, 9530, 2615, 10463, 2953, 2029, 2695, 26029, 2075, 2019, 7107, 18963, 1010, 1008, 2065, 1026, 3642, 1028, 9530, 2615, 1027, 1027, 19701, 1026, 1013, 3642, 1028, 2059, 1996, 6013, 2003, 5068, 3495, 1012, 1008, 1013, 2270, 2345, 1026, 1056, 1010, 1054, 1028, 11675, 5587, 1006, 1056, 16021, 2102, 1010, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 9530, 2615, 1007, 1063, 5587, 4502, 4313, 1006, 2047, 16401, 4221, 2213, 1026, 1056, 1010, 1054, 1028, 1006, 16021, 2102, 1010, 9530, 2615, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 6366, 6013, 1012, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1013, 2270, 2345, 11675, 6366, 1006, 4874, 16021, 2102, 1007, 1063, 6366, 4502, 4313, 1006, 2047, 3722, 4221, 2213, 1026, 4874, 1028, 1006, 16021, 2102, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 6366, 6013, 2794, 2007, 1037, 10463, 2953, 1012, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1030, 11498, 2213, 9530, 2615, 10463, 2953, 1010, 2065, 1026, 3642, 1028, 9530, 2615, 1027, 1027, 19701, 1026, 1013, 3642, 1028, 2009, 2003, 2168, 2066, 1008, 6366, 1006, 4874, 1007, 1008, 1013, 2270, 2345, 1026, 1056, 1010, 1054, 1028, 11675, 6366, 1006, 1056, 16021, 2102, 1010, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 9530, 2615, 1007, 1063, 6366, 4502, 4313, 1006, 2047, 16401, 4221, 2213, 1026, 1056, 1010, 1054, 1028, 1006, 16021, 2102, 1010, 9530, 2615, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 3431, 2035, 7689, 1999, 1996, 2298, 6279, 2000, 2047, 5300, 1012, 19884, 3074, 1997, 1008, 12107, 2000, 3074, 1997, 7689, 1012, 1008, 1030, 11498, 2213, 8902, 1996, 3074, 1997, 1006, 8875, 1007, 5200, 1008, 1030, 11498, 2213, 9530, 2615, 1996, 10463, 2953, 2000, 2224, 2030, 19701, 1008, 1013, 2270, 2345, 1026, 1056, 1010, 1054, 1028, 11675, 2275, 1006, 3074, 1026, 1056, 1028, 8902, 1010, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 9530, 2615, 1007, 1063, 9140, 9863, 1026, 3940, 1026, 1029, 1028, 1028, 1048, 1027, 2047, 9140, 9863, 1026, 3940, 1026, 1029, 1028, 1028, 1006, 8902, 1012, 2946, 1006, 1007, 1007, 1025, 2009, 6906, 4263, 1026, 1056, 1028, 2009, 1027, 8902, 1012, 2009, 6906, 4263, 1006, 1007, 1025, 2065, 1006, 9530, 2615, 1027, 1027, 19701, 1007, 1063, 2096, 1006, 2009, 1012, 8440, 10288, 2102, 1006, 1007, 1007, 1063, 1048, 1012, 5587, 1006, 2047, 3722, 4221, 2213, 1026, 1056, 1028, 1006, 2009, 1012, 2279, 1006, 1007, 1007, 1007, 1025, 1065, 1065, 2842, 1063, 2096, 1006, 2009, 1012, 8440, 10288, 2102, 1006, 1007, 1007, 1063, 1048, 1012, 5587, 1006, 2047, 16401, 4221, 2213, 1026, 1056, 1010, 1054, 1028, 1006, 2009, 1012, 2279, 1006, 1007, 1010, 9530, 2615, 1007, 1007, 1025, 1065, 1065, 2275, 4502, 18894, 1006, 1048, 1007, 1025, 1065, 1013, 1008, 1008, 10463, 2953, 2695, 29513, 2015, 2019, 7107, 18963, 1997, 2019, 4874, 1012, 1008, 1030, 2144, 1015, 1012, 2423, 1008, 1013, 2270, 10763, 8278, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 1063, 1013, 1008, 1008, 10463, 27885, 3501, 2000, 2060, 4874, 1012, 2045, 2003, 2053, 2342, 2000, 10408, 1008, 17053, 7337, 1012, 2009, 2003, 3024, 2011, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 7076, 26897, 1006, 1007, 1065, 4118, 2993, 1012, 2174, 1996, 1008, 4118, 2064, 2022, 2170, 2062, 2084, 2320, 2138, 6013, 2003, 2218, 1008, 2074, 2011, 5410, 4431, 1012, 1008, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 4874, 4991, 2013, 2023, 4874, 1008, 1013, 2270, 1054, 10463, 1006, 1056, 27885, 3501, 1007, 1025, 1013, 1008, 1008, 2709, 2828, 1997, 4991, 4874, 1012, 7801, 3081, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 13874, 1006, 1007, 1065, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 2465, 2008, 2097, 2022, 2550, 2013, 2023, 4874, 1006, 2465, 2030, 1008, 3565, 26266, 1997, 10463, 1006, 27885, 3501, 1007, 1007, 1008, 1013, 2270, 2465, 1026, 1029, 8908, 1054, 1028, 2828, 1006, 1056, 27885, 3501, 1007, 1025, 1013, 1008, 1008, 24134, 2015, 1996, 8909, 1997, 1996, 4504, 4874, 1012, 7801, 3081, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 3593, 1006, 1007, 1065, 1012, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 8909, 2005, 1996, 4874, 1008, 1013, 2270, 5164, 8909, 1006, 1056, 27885, 3501, 1007, 1025, 1013, 1008, 1008, 1996, 2529, 2556, 3085, 2171, 2005, 1996, 4874, 1012, 7801, 3081, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 10521, 13068, 18442, 1006, 1007, 1065, 1012, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 2171, 5052, 1996, 4874, 2005, 1996, 5310, 1008, 1013, 2270, 5164, 4653, 18442, 1006, 1056, 27885, 3501, 1007, 1025, 1065, 1013, 1008, 1008, 6013, 1997, 2028, 8875, 5052, 2019, 4874, 1012, 1008, 1013, 2345, 10763, 2465, 3722, 4221, 2213, 1026, 1056, 1028, 8908, 3940, 1026, 1056, 1028, 1063, 2797, 1056, 27885, 3501, 1025, 1013, 1008, 1008, 3443, 2019, 8875, 1012, 1008, 1030, 27885, 3501, 4874, 2000, 4236, 1008, 1013, 2270, 3722, 4221, 2213, 1006, 1056, 27885, 3501, 1007, 1063, 2065, 1006, 27885, 3501, 1027, 1027, 19701, 1007, 1063, 5466, 2047, 19701, 8400, 7869, 2595, 24422, 1006, 1007, 1025, 1065, 2023, 1012, 27885, 3501, 1027, 27885, 3501, 1025, 1065, 1013, 1008, 1008, 5852, 3251, 2023, 8875, 2064, 3965, 4874, 1008, 1997, 2465, 1039, 1012, 1008, 1013, 2270, 22017, 20898, 6013, 11253, 1006, 2465, 1026, 1029, 1028, 1039, 1007, 1063, 2709, 1039, 1012, 2003, 7076, 26897, 1006, 27885, 3501, 1007, 1025, 1065, 1013, 1008, 1008, 2131, 6013, 1997, 5068, 4874, 1012, 2065, 10463, 2953, 2003, 9675, 2059, 1008, 4118, 6013, 4135, 21940, 2361, 1012, 10463, 2953, 1012, 10463, 2953, 2003, 2109, 1998, 5410, 4431, 1008, 2000, 4991, 4874, 2003, 5552, 1012, 1008, 1030, 2709, 1996, 6013, 1997, 1996, 4874, 1012, 1008, 1013, 2270, 1056, 2131, 7076, 26897, 1006, 1007, 1063, 2709, 27885, 3501, 1025, 1065, 1030, 2058, 15637, 2270, 22017, 20898, 19635, 1006, 4874, 1051, 1007, 1063, 2065, 1006, 1051, 6013, 11253, 3722, 4221, 2213, 1007, 1063, 2709, 27885, 3501, 1012, 19635, 1006, 1006, 1006, 3722, 4221, 2213, 1007, 1051, 1007, 1012, 27885, 3501, 1007, 1025, 1065, 2842, 1063, 2709, 6270, 1025, 1065, 1065, 1030, 2058, 15637, 2270, 20014, 23325, 16044, 1006, 1007, 1063, 2709, 27885, 3501, 1012, 23325, 16044, 1006, 1007, 1025, 1065, 1013, 1008, 1008, 2019, 4767, 1997, 1996, 8875, 1012, 1008, 1030, 2709, 5164, 5052, 1996, 8875, 1010, 2008, 2064, 2022, 2109, 2005, 1008, 29486, 6651, 5682, 2000, 12453, 1996, 2168, 8875, 2279, 2051, 1008, 1013, 2270, 5164, 2131, 3593, 1006, 1007, 1063, 2709, 1000, 6335, 1031, 1000, 1009, 27885, 3501, 1012, 2000, 3367, 4892, 1006, 1007, 1025, 1013, 1013, 2053, 2072, 15136, 2078, 1065, 1013, 1008, 1008, 2131, 3334, 2005, 4653, 2171, 1997, 1996, 8875, 1012, 1008, 1013, 2270, 5164, 2131, 10521, 13068, 18442, 1006, 1007, 1063, 2709, 27885, 3501, 1012, 2000, 3367, 4892, 1006, 1007, 1025, 1065, 1013, 1008, 1008, 4118, 2008, 2064, 3231, 3251, 2019, 6013, 1997, 1037, 2465, 2038, 2042, 2580, 1008, 2011, 2023, 8875, 1012, 1008, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 6013, 1008, 1030, 2709, 2065, 1996, 8875, 2038, 2525, 3443, 2019, 6013, 1998, 2009, 2003, 1996, 2168, 1008, 2004, 27885, 3501, 1012, 1008, 1013, 1030, 2058, 15637, 5123, 22017, 20898, 8543, 11253, 1006, 4874, 27885, 3501, 1007, 1063, 2709, 27885, 3501, 1027, 1027, 19701, 1029, 19701 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5606, 1997, 8711, 2031, 2513, 2000, 2444, 1999, 3595, 7958, 1999, 1996, 23116, 2555, 1999, 1996, 3246, 1997, 8932, 2000, 1996, 2866, 1010, 1996, 2981, 2064, 7487, 1010, 2074, 3134, 2044, 1996, 12451, 1997, 1996, 1005, 8894, 1005, 17137, 3723, 4665, 1012, 2045, 2024, 2012, 2560, 2416, 11900, 7617, 1999, 3541, 3033, 1997, 1996, 13926, 1011, 14674, 1011, 2139, 1011, 23116, 2555, 1010, 2169, 3847, 7644, 1997, 8711, 1998, 16836, 1010, 2007, 3616, 3652, 11328, 1999, 3522, 3134, 1012, 2009, 3310, 2048, 2706, 2044, 1996, 8503, 1997, 1996, 8894, 1010, 2029, 2001, 3832, 2000, 3288, 2019, 2203, 2000, 1996, 13141, 3663, 1999, 23116, 2011, 9846, 1996, 3409, 1998, 4487, 17668, 7741, 2049, 3901, 2000, 7684, 8941, 1006, 12966, 2015, 1007, 2408, 2605, 1517, 2019, 3169, 1996, 4614, 16586, 2004, 1037, 1523, 3112, 1524, 1012, 23116, 1005, 8894, 1005, 16388, 1024, 5952, 5795, 2066, 3619, 13141, 3949, 2000, 6394, 14522, 2174, 1010, 7644, 1997, 8711, 1998, 16836, 2040, 2020, 2579, 2006, 7793, 2000, 12966, 8941, 2031, 2085, 2318, 2437, 1996, 4990, 2067, 2000, 1996, 2167, 1997, 2605, 1012, 2116, 1997, 2068, 2024, 2336, 3005, 11386, 4447, 2020, 5837, 2011, 1996, 2188, 2436, 3041, 2023, 3204, 1010, 1998, 2031, 2787, 2000, 2191, 2037, 2219, 2126, 2000, 1996, 2866, 2044, 13417, 3532, 2542, 3785, 1999, 1996, 2413, 8941, 1012, 2028, 2061, 1011, 2170, 1523, 3595, 1524, 3409, 3658, 2006, 1996, 3341, 1997, 1037, 2235, 2413, 2352, 2170, 4496, 22787, 1011, 15489, 2229, 1010, 2105, 2382, 3717, 2013, 1996, 3417, 1997, 23116, 1012, 2105, 7558, 8711, 2747, 2444, 1999, 1996, 3409, 1010, 2029, 2038, 5839, 2144, 2263, 1010, 2021, 1996, 3616, 2031, 2042, 5901, 3652, 1999, 3522, 3134, 1010, 2004, 8711, 1517, 3391, 18464, 1517, 2031, 5625, 2975, 1996, 7684, 8941, 1012, 1037, 3409, 1999, 4496, 22787, 1011, 15489, 2229, 2038, 2468, 2188, 2000, 2062, 2084, 6036, 8711, 1006, 9790, 11811, 1007, 19290, 12304, 1010, 6951, 2005, 1037, 2235, 2413, 5952, 2170, 25170, 1040, 1521, 9413, 21621, 2029, 6067, 4681, 2012, 1996, 4496, 22787, 1011, 15489, 2229, 3409, 1010, 2409, 1996, 2981, 1024, 1523, 2045, 2024, 2062, 1998, 2062, 2111, 2746, 2067, 1012, 2023, 2733, 2045, 2038, 2042, 2195, 6474, 2111, 7180, 1012, 1045, 6814, 2009, 2097, 4982, 2062, 1999, 1996, 2746, 2706, 1012, 1523, 2007, 1996, 2866, 2231, 5494, 2091, 2049, 15210, 1997, 2104, 4270, 8711, 2000, 1996, 2866, 1010, 2045, 2031, 2042, 1037, 2843, 1997, 18464, 2746, 2067, 1012, 1000, 2045, 2024, 2111, 2040, 2024, 4415, 2104, 4270, 1998, 4415, 2031, 2155, 1999, 1996, 2866, 1010, 2021, 2027, 2031, 2042, 2409, 2008, 2085, 2009, 1521, 1055, 2701, 1012, 2085, 2027, 1005, 2128, 2746, 2067, 2000, 3046, 2191, 2037, 2219, 2126, 1012, 1523, 6001, 2024, 2036, 2746, 2067, 2013, 8941, 1999, 7046, 3616, 1012, 2070, 2359, 2000, 2994, 1999, 2605, 1010, 2021, 2027, 2031, 2042, 3403, 2005, 2048, 2706, 1998, 2027, 4033, 1521, 1056, 2130, 2042, 2445, 1996, 4495, 2000, 6611, 2005, 11386, 1012, 2027, 1005, 2310, 2445, 2039, 1012, 1524, 2720, 12304, 2056, 1996, 3409, 2001, 2028, 1997, 2416, 20384, 2105, 1996, 13926, 1011, 14674, 1011, 2139, 1011, 23116, 2555, 1012, 9790, 11811, 1010, 1037, 13141, 8175, 1998, 2934, 2012, 22389, 1005, 1055, 2118, 1010, 3603, 1996, 5023, 3409, 3041, 2023, 3204, 1012, 7851, 2009, 2004, 1037, 1523, 7163, 1011, 8894, 1524, 1010, 2016, 2056, 1996, 3785, 2020, 1523, 18704, 1524, 1998, 2008, 3901, 1997, 1996, 11900, 4093, 2596, 2000, 2022, 4452, 2000, 5138, 4681, 2005, 3571, 1997, 5059, 3086, 2000, 3209, 1012, 2934, 11811, 2056, 1024, 1523, 2009, 1521, 1055, 1037, 2210, 4979, 1997, 5249, 2039, 1037, 2200, 4867, 1010, 2309, 1011, 2650, 4644, 1012, 2017, 2156, 2009, 2083, 1996, 3628, 1998, 2009, 1005, 1055, 2066, 1037, 7163, 1011, 8894, 1012, 1000, 1996, 17177, 2024, 2404, 2362, 2007, 2536, 9017, 1997, 3536, 1998, 16985, 4502, 18639, 1517, 3649, 2027, 2064, 6723, 1012, 2045, 2003, 2053, 2490, 2045, 1012, 2027, 1521, 2310, 4055, 3209, 2039, 2061, 2045, 1521, 1055, 1037, 2273, 1521, 1055, 2930, 1998, 1037, 2308, 1998, 2336, 1521, 1055, 2930, 1012, 1523, 1996, 4614, 2097, 2424, 2008, 2062, 1998, 2062, 1997, 2122, 3595, 7958, 2097, 3769, 2039, 2138, 2122, 2111, 2024, 2893, 6233, 10206, 1012, 1000, 2116, 2031, 2081, 1996, 2146, 4990, 2013, 1996, 8941, 2067, 2000, 1996, 23116, 2181, 2029, 2003, 5220, 2000, 2068, 1010, 2066, 1037, 2188, 1516, 2030, 2004, 2379, 2000, 1037, 2188, 2004, 2027, 2064, 2191, 2009, 1012, 1524, 2016, 2056, 1996, 3409, 2003, 2055, 2048, 3717, 2013, 1037, 3913, 1011, 2011, 2006, 1996, 3307, 2008, 5260, 2039, 2000, 1996, 3417, 1997, 23116, 1010, 2073, 8840, 12244, 6853, 2411, 2191, 2037, 2197, 2644, 2077, 5153, 1010, 9280, 2437, 2009, 1037, 1523, 4026, 5484, 1005, 1055, 9097, 1524, 1012, 1523, 1996, 4864, 1997, 1996, 2047, 3409, 2064, 3328, 2408, 1037, 3232, 1997, 4249, 1998, 2045, 2003, 1037, 3913, 1011, 2011, 2073, 9322, 2380, 11585, 1516, 1996, 2197, 2644, 2077, 2027, 2175, 2083, 1996, 3417, 1010, 1524, 2016, 2056, 1012, 1523, 2009, 1521, 1055, 2073, 1996, 9144, 2024, 2589, 1010, 2092, 2185, 2013, 1996, 3417, 1012, 2009, 1521, 1055, 1037, 4026, 5484, 1521, 1055, 9097, 1012, 3071, 2105, 2023, 2047, 3409, 2003, 8211, 2000, 2068, 1012, 1524, 7890, 13006, 4819, 4967, 1010, 1037, 2321, 1011, 2095, 1011, 2214, 13141, 2013, 4501, 2040, 2038, 2042, 2542, 1999, 2028, 1997, 1996, 8941, 4351, 2005, 2336, 1006, 12966, 9856, 1007, 1999, 2019, 14545, 11393, 1010, 1037, 2237, 2006, 1996, 2413, 1011, 5364, 3675, 1010, 2247, 2007, 2539, 2060, 2775, 8711, 1010, 2056, 2002, 1998, 2010, 2814, 2020, 4041, 2000, 2681, 1996, 2803, 1998, 2709, 2000, 23116, 1012, 1996, 10563, 2001, 3728, 6727, 2008, 2002, 1998, 2087, 1997, 2010, 2814, 2018, 2042, 5837, 2011, 1996, 2188, 2436, 1010, 1998, 2056, 2027, 2085, 2018, 1523, 2053, 2060, 5724, 1524, 2021, 2000, 2709, 2000, 23116, 1999, 1996, 3246, 1997, 1523, 2178, 8894, 1524, 1012, 2002, 2794, 2008, 2027, 2020, 1523, 2542, 2066, 20325, 2015, 1524, 1999, 1996, 2803, 1010, 1998, 3024, 1996, 2981, 2007, 8333, 1997, 2037, 9746, 1011, 2066, 5777, 2181, 1010, 1998, 7008, 1997, 1037, 7954, 1997, 7852, 1998, 10930, 5603, 19585, 1012, 1523, 2027, 5763, 2149, 2027, 2052, 2202, 2149, 2000, 1996, 2866, 2021, 2056, 2057, 2018, 2000, 2022, 5776, 1012, 2012, 2023, 2803, 2027, 7438, 2149, 2066, 20325, 2015, 1010, 1000, 7890, 13006, 4819, 2056, 1012, 1000, 2057, 2024, 2542, 1999, 1037, 4713, 1998, 2057, 2024, 5983, 13735, 7852, 1012, 2057, 2031, 4741, 1999, 2122, 11123, 2302, 5983, 7919, 1998, 2085, 2027, 2024, 3038, 2057, 2064, 1005, 1056, 2175, 1012, 2009, 2965, 2057, 2442, 2175, 2067, 2000, 23116, 1012, 2402, 8711, 1999, 1037, 12966, 1999, 4776, 9335, 3366, 5983, 10930, 5603, 19585, 1998, 7852, 2027, 2020, 3140, 2000, 4965, 2138, 2027, 2360, 1996, 2833, 8127, 2001, 14710, 1006, 7890, 13006, 4819, 4967, 1007, 1006, 7890, 18878, 2319, 4967, 1007, 1523, 2065, 2027, 4694, 1521, 1056, 2183, 2000, 2202, 2149, 2027, 2323, 2031, 2409, 2149, 4415, 1012, 2057, 2187, 1996, 8894, 2006, 1996, 4650, 2008, 2057, 2052, 2175, 2000, 1996, 2866, 1012, 2057, 3970, 2122, 3785, 2074, 2000, 2175, 2000, 1996, 2866, 1010, 1998, 2085, 2027, 2024, 3038, 2057, 2031, 2000, 2507, 2039, 1012, 1523, 1045, 3246, 2017, 2097, 2156, 2178, 8894, 2574, 1012, 1524, 1996, 13926, 1011, 14674, 1011, 2139, 1011, 23116, 7498, 5837, 4311, 2008, 2045, 2024, 2416, 11900, 7617, 1999, 1996, 2555, 1010, 1998, 6380, 2045, 2018, 2042, 2019, 3623, 1999, 3616, 1997, 8711, 1012, 23116, 1998, 29467, 7958, 2265, 2035, 2385, 1015, 1013, 2385, 23116, 1998, 29467, 7958, 23116, 1998, 29467, 7958, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 6533, 1997, 2019, 12632, 2158, 4147, 1037, 3151, 2566, 4819, 10722, 28483, 2078, 1999, 1996, 23116, 8894, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 2048, 8991, 7662, 7834, 3457, 1996, 2364, 4211, 2000, 1996, 29467, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 2028, 15553, 8956, 2158, 1521, 1055, 14764, 2000, 2370, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2048, 2402, 3337, 1999, 1996, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2019, 7726, 9012, 11854, 4832, 2648, 1996, 2069, 3588, 7713, 1999, 1996, 2148, 2217, 1997, 1996, 23116, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 1037, 2277, 1999, 1996, 2148, 23116, 3409, 1010, 2006, 1997, 1996, 1996, 2069, 5090, 2025, 7002, 1999, 1996, 2148, 2217, 1997, 1996, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 1037, 2158, 4152, 1037, 2606, 3013, 1999, 1996, 23116, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2305, 4212, 2006, 1996, 23116, 8894, 1012, 8769, 6402, 1999, 1996, 3292, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1996, 16143, 3024, 2004, 4522, 11366, 2005, 1996, 2111, 1999, 1996, 7958, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 2402, 2879, 1999, 1996, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 2158, 4952, 2015, 2000, 2189, 2503, 2028, 1997, 1996, 7829, 16143, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 1996, 9643, 2542, 3785, 1999, 1996, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2019, 12632, 2158, 1999, 1996, 23116, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 2028, 1997, 1996, 7726, 9012, 26049, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 2155, 1999, 2037, 4799, 7713, 1999, 1996, 2047, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 1037, 15974, 2056, 1024, 1523, 1996, 16836, 1999, 1996, 2235, 7958, 1997, 1996, 2533, 1997, 1996, 14674, 1011, 2139, 1011, 23116, 1006, 2093, 1999, 2561, 1007, 2024, 5570, 2680, 1998, 2057, 2031, 2025, 5159, 2019, 3623, 1012, 1523, 2144, 1996, 4487, 11512, 15073, 1997, 1996, 8894, 1010, 2053, 2047, 3409, 2038, 2042, 2511, 1999, 23116, 1012, 2110, 2578, 3961, 6819, 20142, 4630, 1024, 1996, 4684, 2522, 22197, 4244, 2470, 4250, 1010, 2029, 2001, 13487, 2007, 4337, 2075, 20673, 25555, 1010, 2001, 13949, 1999, 2244, 2355, 1998, 2610, 14214, 2024, 2145, 2108, 11240, 21758, 2651, 1012, 1523, 9690, 1010, 2057, 11949, 2008, 16836, 3613, 2000, 2022, 2556, 1012, 2105, 3263, 16836, 2169, 2733, 2024, 3603, 1999, 3082, 5350, 4683, 2076, 2892, 1011, 3149, 7711, 1012, 1523, 2043, 16836, 2024, 2179, 5023, 1999, 3082, 5350, 4683, 2076, 2892, 1011, 3149, 14148, 1010, 1996, 2110, 1521, 1055, 3433, 2003, 3813, 1012, 2065, 2009, 2003, 4484, 2008, 16836, 2024, 17800, 1999, 2120, 3700, 1010, 2027, 2024, 2872, 1999, 12345, 1012, 1000, 1037, 2146, 1011, 2051, 6951, 2005, 13141, 5952, 23116, 20731, 14657, 1010, 2040, 2134, 1005, 1056, 2215, 2000, 2022, 2315, 1010, 10173, 2008, 8711, 2052, 3613, 2000, 2709, 1999, 3652, 3616, 1012, 1523, 16836, 2109, 2000, 2994, 2503, 1996, 2237, 1010, 2021, 2085, 2007, 1996, 2610, 14148, 7249, 2043, 2027, 7180, 1999, 23116, 2027, 2855, 2175, 2046, 6318, 1010, 1000, 2002, 2056, 1012, 1000, 2037, 2933, 2453, 2022, 2000, 2994, 2185, 2013, 1996, 2610, 1011, 4758, 2752, 2005, 2085, 1012, 2027, 2097, 2562, 4251, 1998, 2994, 1999, 5023, 3182, 2005, 1037, 2261, 2706, 1998, 2059, 2044, 1996, 3663, 2097, 2689, 2153, 1010, 2138, 2045, 2097, 2022, 2062, 1998, 2062, 2111, 2746, 1012, 1996, 1520, 3595, 3409, 1521, 2003, 4350, 1999, 1996, 10833, 1010, 2521, 2041, 2013, 1996, 4600, 2610, 2094, 23116, 2237, 1006, 9790, 11811, 1007, 1523, 1996, 2110, 1031, 1996, 2231, 1033, 3555, 1996, 12451, 2001, 1037, 3112, 1010, 2021, 1996, 2111, 1997, 23116, 2113, 2008, 1996, 2111, 2097, 2562, 2746, 1012, 1000, 2127, 2045, 2003, 1037, 3252, 2000, 6160, 2111, 1998, 2507, 2068, 1037, 2157, 2000, 2994, 1010, 2027, 2097, 11494, 3182, 2182, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 20176, 2006, 1045, 1011, 6365, 5825, 2875, 2358, 6112, 1010, 3391, 2006, 11559, 5958, 24738, 1010, 2064, 2022, 1999, 27942, 15370, 1012, 2009, 1521, 1055, 3305, 3085, 2008, 1037, 2843, 1997, 2111, 2024, 4214, 2005, 1520, 2242, 2000, 2022, 2589, 1012, 1521, 1012, 1996, 4248, 4668, 1997, 8801, 1998, 2500, 2003, 1037, 2655, 2000, 21255, 1996, 2518, 1517, 1002, 2382, 2454, 2005, 2178, 4644, 1012, 5121, 2008, 2003, 1996, 5576, 1010, 2027, 2228, 1012, 2045, 2024, 1037, 2261, 5936, 2007, 2023, 3921, 1012, 2034, 1010, 2057, 1521, 2310, 2196, 2664, 2328, 2256, 2126, 2041, 1997, 20176, 1012, 2057, 5587, 18799, 1998, 1010, 2306, 1037, 2460, 2051, 1010, 1006, 2411, 2074, 2176, 2086, 2429, 2000, 2070, 2913, 1007, 1996, 3291, 2003, 2074, 2004, 2919, 2004, 2077, 1012, 2117, 1010, 17973, 2028, 2930, 1997, 2346, 2411, 2074, 13956, 1996, 3291, 2091, 1996, 2346, 1517, 6719, 1012, 2057, 2453, 2574, 2022, 4994, 4455, 2005, 17973, 2582, 2247, 6365, 1010, 9186, 2321, 2083, 2358, 6112, 1010, 1998, 2062, 1012, 2353, 1010, 2023, 2003, 2178, 2261, 2454, 6363, 2057, 2071, 2224, 6974, 1010, 2066, 7149, 2007, 1996, 2035, 2154, 2296, 2154, 20176, 1998, 20871, 1999, 1996, 5519, 3655, 2008, 4254, 2062, 3633, 1998, 5661, 2296, 2154, 1012, 2045, 1521, 1055, 2036, 1037, 3160, 1997, 3808, 1006, 9374, 1010, 2007, 1996, 2168, 2193, 1997, 3679, 4683, 1010, 2029, 2003, 13726, 1998, 5514, 1024, 1037, 1018, 1011, 4644, 3307, 1999, 2885, 2030, 1037, 1020, 1011, 4644, 3307, 1999, 1996, 1057, 1012, 1055, 1012, 1029, 1007, 1012, 2045, 1521, 1055, 1037, 2825, 5576, 2008, 2180, 1521, 1056, 3465, 1002, 2382, 2454, 1010, 2064, 3073, 4335, 3202, 2612, 1997, 2274, 2000, 2698, 2086, 2013, 2085, 1010, 2180, 1521, 1056, 5478, 1037, 2095, 2030, 2048, 1997, 2810, 14978, 2015, 1010, 1998, 2097, 3623, 3808, 2612, 1997, 9885, 2009, 1012, 11588, 9389, 2182, 1521, 1055, 2054, 6433, 2006, 1037, 5171, 5958, 5027, 2006, 1045, 1011, 6365, 1012, 2619, 9297, 12430, 2084, 2500, 1999, 1996, 2187, 4644, 1998, 1037, 2261, 3765, 8632, 2039, 2369, 2032, 3403, 2000, 2131, 2011, 1012, 2023, 12702, 9389, 1997, 3765, 2003, 2170, 1037, 13799, 2011, 4026, 6145, 1012, 13799, 2015, 2066, 2023, 2024, 1999, 12879, 8873, 23402, 3372, 2224, 1997, 1996, 18799, 1998, 2037, 7371, 8966, 3267, 1998, 4372, 29181, 2075, 1997, 6853, 2064, 2022, 3243, 4795, 1012, 2320, 1996, 4644, 3796, 2121, 2012, 1996, 2132, 1997, 1996, 13799, 5829, 2000, 1996, 2157, 1010, 2030, 3071, 2369, 2515, 2000, 2131, 2105, 2032, 1010, 1996, 13799, 5829, 2830, 1998, 7807, 2039, 1012, 2005, 2122, 6853, 2009, 2003, 1037, 2978, 25198, 1010, 2021, 2788, 3463, 1999, 2069, 1037, 3576, 4030, 7698, 1012, 2174, 1010, 2045, 1521, 1055, 2178, 13799, 7732, 2039, 2369, 2178, 4644, 3796, 2121, 1037, 2261, 2781, 2369, 2023, 2028, 1998, 2178, 2369, 2008, 1012, 2058, 1996, 2607, 1997, 2055, 2322, 2781, 1010, 1999, 1996, 2220, 5027, 1010, 1996, 16680, 2090, 2122, 13799, 2015, 2131, 22546, 1998, 22546, 2127, 2028, 13799, 3310, 2039, 2006, 1996, 4373, 1997, 1996, 13799, 1999, 2392, 1997, 2009, 1998, 1059, 3511, 5302, 1010, 2017, 2031, 1996, 16508, 1997, 1996, 2154, 1521, 1055, 11588, 4026, 9389, 1012, 1998, 2009, 2035, 2318, 2007, 1996, 2187, 4644, 3796, 2121, 2040, 1521, 1055, 2085, 11361, 2382, 2781, 3805, 1997, 1996, 9389, 2027, 3271, 2000, 2707, 1012, 2065, 2017, 2024, 1037, 8785, 2030, 5584, 13128, 2711, 1010, 2023, 5248, 2038, 2042, 14440, 2011, 10210, 1998, 2500, 2007, 13433, 24077, 4353, 1998, 8331, 10949, 1012, 2005, 2216, 6047, 2438, 2000, 2996, 27191, 4468, 2107, 2477, 1010, 2292, 1521, 1055, 3422, 1037, 2678, 1024, 2085, 1010, 7868, 2296, 2482, 2006, 1045, 1011, 6365, 2003, 3048, 2012, 1037, 5377, 3770, 5601, 1006, 2748, 1010, 2009, 1521, 1055, 2825, 1999, 1037, 3819, 2088, 1010, 3383, 2107, 2004, 2065, 2296, 2482, 2018, 1037, 7217, 2241, 8790, 8592, 2491, 2000, 2562, 2017, 3599, 2702, 2519, 2369, 1996, 2482, 1999, 2392, 1997, 2017, 1007, 1012, 2028, 2482, 13627, 2005, 2074, 1037, 2200, 4766, 2617, 1010, 2029, 5320, 1996, 2482, 2369, 2000, 13428, 1010, 1998, 2061, 5743, 1012, 2169, 2482, 13627, 2074, 1037, 2210, 2062, 2084, 1996, 2028, 1999, 2392, 1998, 2061, 2055, 1996, 3770, 2705, 2482, 13627, 2000, 1037, 2644, 1998, 2574, 2045, 2024, 2753, 3765, 3030, 1998, 21601, 2039, 2369, 2193, 3770, 1012, 2023, 9389, 1997, 3030, 3765, 2097, 4982, 1998, 2693, 11043, 2083, 4026, 1010, 2823, 2005, 2661, 1012, 2619, 10851, 1996, 2187, 2030, 2690, 4644, 2038, 1996, 2168, 3466, 1012, 2028, 3992, 5577, 1996, 4525, 9389, 2004, 1037, 5213, 16535, 3048, 11043, 2013, 1996, 4644, 3796, 2121, 1012, 2057, 2089, 2025, 2022, 2583, 2000, 4652, 2023, 3294, 1999, 2428, 3082, 4026, 1010, 2021, 2057, 2064, 3497, 5547, 2009, 8046, 6022, 1012, 4644, 9009, 4644, 9009, 2003, 2478, 1996, 10914, 1997, 1037, 18799, 1999, 1996, 2087, 8114, 1998, 3647, 5450, 2004, 2825, 1998, 2003, 2788, 7680, 7583, 2039, 2004, 2562, 2157, 3272, 2000, 3413, 1012, 1037, 4121, 4022, 5770, 1997, 1037, 2176, 1011, 4644, 3307, 1010, 2107, 2004, 1045, 1011, 6365, 1010, 3475, 1521, 1056, 2074, 2000, 3313, 1996, 3977, 1997, 1037, 2048, 1011, 4644, 3541, 18799, 2011, 2383, 2048, 10914, 1999, 1996, 2168, 3257, 2612, 1997, 2074, 2028, 1010, 2021, 2000, 4800, 22086, 1996, 3977, 2172, 2062, 1012, 4352, 5514, 6853, 2000, 2855, 2693, 2105, 2500, 1998, 2059, 2131, 2067, 1999, 2000, 1996, 4834, 1997, 4026, 4473, 2122, 6853, 2000, 16462, 18799, 3977, 2008, 2003, 4728, 15171, 1012, 2612, 1997, 2008, 4062, 2108, 1999, 2392, 1997, 2017, 1010, 2027, 2024, 2085, 2092, 2091, 1996, 2346, 1998, 2025, 4254, 2075, 2017, 1012, 2017, 2031, 2062, 2686, 2000, 1996, 2482, 1999, 2392, 1997, 2017, 1998, 2024, 2062, 6625, 1012, 2027, 2024, 8110, 2019, 15171, 6578, 1012, 1998, 2023, 8440, 1521, 1056, 3465, 3087, 2505, 1012, 2256, 3768, 1997, 4644, 9009, 11027, 2015, 2023, 5770, 1012, 2612, 1997, 2893, 3383, 1037, 2093, 10371, 3623, 1999, 3977, 2011, 2311, 1037, 2176, 1011, 4644, 3307, 1999, 2173, 1997, 1037, 2048, 1011, 4644, 3541, 2346, 1010, 2057, 2069, 2131, 2055, 1037, 2048, 10371, 3623, 1012, 4644, 10851, 3084, 2256, 10292, 2062, 4795, 1998, 2625, 8114, 2005, 3071, 1012, 2065, 2008, 2034, 2711, 2018, 2025, 8534, 1996, 4644, 1010, 1996, 2111, 2369, 2032, 2052, 2031, 8979, 2006, 2039, 1996, 2346, 1010, 2975, 1996, 10914, 2800, 2005, 2216, 2369, 2068, 2000, 2224, 1012, 2168, 2005, 1996, 2117, 2711, 10851, 1996, 4644, 1010, 1998, 2169, 2044, 2068, 1012, 4644, 10851, 2025, 2069, 9005, 9389, 2015, 1010, 2021, 4013, 10052, 2015, 2068, 2004, 2092, 2043, 2619, 2012, 1996, 2132, 1997, 1996, 9389, 4247, 2000, 3796, 1996, 2187, 4644, 2612, 1997, 3048, 2157, 1998, 4352, 2216, 2369, 2000, 2693, 2830, 1998, 2131, 2041, 1997, 1996, 2126, 1997, 2216, 2369, 2068, 1012, 2065, 2017, 1521, 2128, 3564, 1999, 2023, 4026, 2012, 1996, 2067, 1997, 1996, 9389, 1010, 2009, 1521, 1055, 2524, 2000, 2903, 2008, 2242, 2061, 3722, 2004, 4644, 9009, 2064, 2147, 1012, 5136, 1010, 2295, 1010, 2008, 2087, 1997, 1996, 3765, 2105, 2017, 2876, 1521, 1056, 2022, 2182, 2085, 2065, 1996, 3765, 1999, 2392, 1997, 2068, 2020, 2582, 2091, 1996, 2346, 2612, 1997, 10851, 2068, 1010, 1998, 2006, 1998, 2006, 2039, 2000, 1996, 2187, 4644, 3796, 2545, 2012, 1996, 2200, 2392, 1012, 1999, 2392, 1997, 2023, 9389, 1010, 2074, 1037, 2261, 2661, 3805, 1997, 2017, 1010, 2024, 2661, 1998, 2661, 1997, 1045, 1011, 6365, 2007, 2172, 9442, 4026, 1517, 1037, 2843, 1997, 9987, 3977, 1012, 2021, 1037, 2261, 2111, 2024, 10723, 2500, 2013, 2478, 2023, 9987, 3977, 1012, 1999, 2885, 1010, 2073, 4644, 9009, 2003, 9410, 1010, 2017, 2123, 1521, 1056, 2156, 1996, 15360, 1010, 5725, 16961, 1010, 1998, 2346, 7385, 2000, 1996, 6698, 2057, 2031, 2182, 1999, 1996, 1057, 1012, 1055, 1012, 2037, 10292, 2024, 2062, 8114, 1010, 2111, 3298, 5514, 1998, 2012, 2062, 8335, 10898, 1010, 1998, 2664, 2027, 2031, 8491, 20871, 1998, 2116, 8491, 19119, 1012, 2037, 2375, 7285, 4282, 1996, 5197, 1997, 4363, 1996, 10914, 2330, 2005, 4026, 4834, 1998, 2024, 2172, 19059, 2000, 7281, 2619, 2005, 10851, 1037, 4644, 1006, 2187, 2030, 2690, 1007, 2084, 21485, 1012, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2070, 2530, 2163, 2031, 16348, 4644, 9009, 2005, 2086, 1998, 3728, 3146, 2211, 2725, 2061, 1998, 2047, 3933, 3728, 2211, 11907, 7285, 1998, 3445, 21892, 2005, 10851, 1996, 2187, 4644, 1012, 5135, 2525, 2038, 1037, 2375, 1006, 18582, 1012, 2324, 1006, 2184, 1007, 1007, 9034, 12430, 4683, 1010, 7539, 1997, 2037, 3177, 2030, 1996, 3177, 5787, 1010, 2000, 2693, 2157, 1010, 2057, 2074, 2342, 2000, 4088, 27455, 2009, 1012, 2116, 2111, 2228, 2008, 2023, 12033, 2069, 2000, 4683, 3048, 12430, 2084, 1996, 3177, 5787, 1010, 2021, 2008, 2003, 2025, 1996, 2553, 1998, 2089, 2022, 1996, 13675, 5602, 1997, 1996, 3291, 1012, 3383, 2062, 2590, 1010, 2111, 2342, 2000, 3305, 2339, 2057, 2031, 2008, 2375, 1998, 2339, 2009, 1521, 1055, 2108, 16348, 1012, 2027, 2342, 2000, 3305, 2008, 10851, 1996, 2187, 4644, 3475, 1521, 1056, 2074, 2114, 1996, 2375, 1010, 2021, 2008, 2037, 10851, 1996, 4644, 3084, 2256, 18799, 2015, 6022, 2062, 4795, 2005, 3071, 1998, 17044, 14540, 2100, 5320, 1037, 4026, 9389, 1012, 2178, 2126, 2000, 2228, 1997, 2009, 2003, 2023, 1517, 2568, 1996, 6578, 1516, 2065, 1996, 2482, 2369, 2017, 2003, 3553, 2084, 1996, 2482, 1999, 2392, 1997, 2017, 1010, 2017, 3497, 2342, 2000, 2693, 2157, 1998, 2292, 2500, 16462, 1996, 2686, 1999, 1996, 6578, 1999, 2392, 1997, 2017, 1012, 5725, 16961, 2003, 4795, 1012, 4372, 29181, 2075, 2060, 6853, 2003, 4795, 1012, 15360, 1999, 1998, 2041, 1997, 4026, 2003, 4795, 1012, 20316, 10898, 1999, 1996, 2168, 4644, 2003, 4795, 1012, 4458, 2006, 1996, 2157, 2003, 4795, 1012, 1998, 2057, 6464, 8627, 2035, 1997, 2023, 2011, 2025, 27455, 4644, 9009, 1517, 2562, 2157, 3272, 2000, 3413, 1012, 2057, 3497, 2031, 2438, 2346, 3302, 1010, 2057, 2074, 2342, 2000, 2224, 2009, 2062, 9689, 1998, 18228, 1012, 2057, 2031, 2498, 2000, 4558, 1998, 9280, 2172, 2000, 5114, 2011, 27455, 2070, 4644, 14571, 1012, 2065, 4026, 4247, 2000, 2022, 1037, 3278, 3291, 1010, 2059, 2057, 2064, 5136, 5938, 8817, 2005, 4469, 10914, 1012, 1996, 2279, 2051, 2017, 1521, 2128, 5881, 1999, 1037, 1523, 11588, 1524, 4026, 9389, 1010, 10210, 2015, 2744, 2005, 2216, 9389, 2015, 2008, 2017, 2131, 2000, 1996, 2392, 1997, 2069, 2000, 2424, 2498, 2045, 2000, 2031, 5525, 3303, 2009, 1010, 5136, 2023, 1025, 2017, 2024, 3497, 1999, 2023, 9389, 4283, 2000, 1037, 4644, 3796, 2121, 2030, 2048, 1012, 2065, 2111, 2274, 1010, 2702, 1010, 2030, 4228, 2781, 3283, 2910, 1521, 1056, 8534, 1996, 2187, 4644, 1010, 1996, 2111, 1999, 2392, 1997, 2017, 2052, 2022, 2582, 2091, 1996, 2346, 2157, 2085, 2612, 1997, 3564, 1999, 2392, 1997, 2017, 1012, 3745, 2023, 1024, 10373, 9130, 10474, 2417, 23194, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 1012, 2492, 1997, 1996, 11028, 1996, 2556, 11028, 14623, 2000, 1037, 4118, 2005, 5814, 1037, 20681, 5080, 1010, 2029, 1996, 4118, 2003, 5214, 1997, 8114, 3742, 2537, 1997, 2152, 1011, 2836, 20681, 5733, 2011, 1010, 2588, 9922, 1997, 1037, 20681, 5080, 1010, 15349, 18162, 2838, 1006, 1041, 1012, 1043, 1012, 1010, 2217, 24423, 1007, 2580, 2362, 2007, 1037, 9507, 5418, 2011, 4317, 7406, 1996, 9507, 5418, 1010, 2000, 5547, 1996, 10859, 1999, 12697, 6302, 9335, 5705, 1998, 2000, 3623, 5995, 1997, 3579, 1012, 1016, 1012, 6412, 1997, 1996, 3141, 2396, 2004, 1996, 14743, 4304, 1997, 6377, 13782, 2038, 3445, 1999, 3522, 2086, 1010, 2061, 2205, 2038, 1996, 9095, 2005, 20681, 5080, 5814, 3941, 2000, 6162, 3760, 3444, 2946, 1517, 7060, 2008, 5383, 3210, 3005, 9381, 2003, 7820, 2084, 1996, 19934, 1997, 7524, 2422, 4846, 1999, 1996, 5814, 2832, 1012, 2247, 2007, 2023, 9874, 1010, 4989, 1997, 15806, 2008, 2064, 3965, 2986, 1010, 2152, 1011, 5813, 7060, 2038, 2042, 4146, 1010, 1998, 4403, 5670, 15806, 2107, 2004, 2431, 5524, 15806, 2024, 6233, 2109, 1999, 1996, 5507, 25852, 26228, 2974, 1012, 1996, 2431, 5524, 15806, 2024, 5056, 3560, 1999, 9229, 5813, 1010, 2021, 3086, 3791, 2000, 2022, 3825, 2000, 1996, 2755, 2008, 2027, 2089, 3443, 2217, 24423, 1006, 4942, 1011, 11373, 1007, 2105, 1037, 3078, 3444, 1012, 2000, 4468, 2023, 1010, 1037, 2965, 1997, 10723, 1996, 4245, 1997, 2217, 24423, 2038, 7511, 2135, 2042, 3024, 2006, 1996, 7308, 1012, 2019, 2742, 1997, 1996, 18921, 26966, 2965, 3024, 2006, 1996, 7308, 2950, 2005, 6013, 1037, 4118, 2011, 2029, 1996, 4245, 1997, 2217, 24423, 2003, 8729, 2011, 19018, 13675, 7060, 2006, 2752, 2073, 2217, 24423, 2024, 3497, 2000, 3711, 1012, 2096, 2023, 4118, 2064, 5147, 4652, 1996, 4245, 1997, 2217, 24423, 1010, 2009, 7336, 1996, 2224, 1997, 1037, 13012, 1011, 4309, 7308, 1997, 2093, 9014, 11427, 2000, 1996, 3739, 1997, 1996, 13675, 7060, 5412, 2058, 1996, 7308, 1010, 6885, 1037, 10859, 2006, 1996, 7308, 9922, 1998, 21262, 10569, 1997, 15806, 1012, 1999, 3433, 2000, 1996, 5157, 2005, 26954, 7060, 1010, 4942, 1011, 5813, 6509, 2838, 1006, 5034, 10354, 1007, 1010, 2029, 2024, 2025, 3214, 2000, 6140, 1010, 2024, 2085, 6233, 2872, 2058, 1996, 2128, 4588, 2571, 1999, 2344, 3952, 2000, 3623, 5995, 1997, 3579, 1012, 2023, 5034, 10354, 2974, 1010, 2174, 1010, 2003, 2028, 16726, 6509, 2838, 2323, 2025, 2022, 6267, 2006, 1996, 3302, 1997, 1996, 9507, 1998, 6516, 1996, 6509, 2838, 2024, 5412, 1999, 1996, 2128, 4588, 2571, 1999, 2107, 2946, 2008, 2027, 2079, 2025, 6140, 1012, 2005, 2023, 3114, 1010, 2045, 2003, 1037, 22718, 2000, 1037, 2582, 7620, 1997, 5995, 1997, 3579, 2011, 3432, 19018, 4659, 2312, 5034, 10354, 2015, 1010, 14879, 1996, 2224, 1997, 3469, 5034, 10354, 2015, 1012, 4973, 1997, 5418, 9621, 2015, 2005, 20681, 5733, 2024, 2216, 4820, 2119, 23563, 7060, 1997, 1037, 3327, 3526, 9621, 2004, 5939, 8197, 10451, 2011, 3638, 5733, 1998, 1037, 3528, 1997, 18154, 5412, 7060, 2004, 5939, 8197, 10451, 2011, 7961, 1048, 6190, 1012, 1999, 2116, 3572, 1996, 3638, 3526, 9621, 2003, 2881, 2478, 1996, 5300, 2008, 2024, 2087, 4187, 1999, 1996, 2640, 3513, 1997, 1996, 7978, 4245, 1012, 2028, 1997, 1996, 5507, 25852, 26228, 1011, 3378, 5813, 22415, 6786, 2005, 14570, 2075, 1996, 18921, 26966, 2003, 1996, 4118, 2008, 3594, 1037, 4403, 5670, 7308, 1010, 2029, 2003, 3701, 2109, 2005, 1996, 4195, 1997, 4187, 9014, 1012, 1999, 2023, 7634, 1010, 15806, 2005, 1037, 3384, 6970, 8663, 2638, 7542, 6741, 1006, 8198, 1013, 19874, 1007, 2024, 2216, 2007, 2625, 2838, 1006, 16556, 1007, 1012, 2182, 1010, 20965, 1012, 2184, 3065, 1037, 8040, 28433, 4588, 3193, 1997, 1037, 7312, 13996, 7524, 5080, 1010, 1998, 20965, 2015, 1012, 2340, 2050, 2000, 2340, 2278, 2265, 5433, 1997, 2236, 6302, 9335, 5705, 1997, 2536, 4127, 2008, 2024, 2109, 2588, 9922, 1997, 1037, 20681, 5080, 1012, 1996, 7312, 13996, 7524, 5080, 3491, 1999, 20965, 1012, 2184, 2950, 2019, 21203, 2422, 3120, 7886, 1010, 2019, 21203, 9380, 2291, 9645, 2005, 14669, 2422, 2013, 1996, 21203, 2422, 3120, 7886, 2000, 1037, 2128, 4588, 2571, 9800, 1006, 6302, 9335, 2243, 1007, 2872, 2006, 1037, 2128, 4588, 2571, 2754, 9402, 1010, 1998, 1037, 13996, 9380, 2291, 1010, 2029, 2003, 1037, 7312, 13996, 10014, 8746, 1012, 1996, 21203, 9380, 2291, 9645, 2950, 2019, 29413, 5259, 7287, 1010, 1037, 4875, 3239, 10014, 11118, 1010, 1998, 2019, 18892, 22939, 8458, 29181, 2213, 11176, 1012, 2422, 2013, 1996, 21203, 2422, 3120, 7886, 2003, 8546, 2000, 1996, 2128, 4588, 2571, 9800, 2083, 1996, 21203, 9380, 2291, 9645, 1010, 1998, 1996, 5418, 2006, 1996, 2128, 4588, 2571, 9800, 2003, 11310, 3031, 1996, 9507, 6741, 2006, 1037, 11333, 7512, 2083, 1996, 7312, 13996, 10014, 8746, 1012, 3602, 2008, 1999, 7524, 5733, 2478, 4654, 6895, 5017, 23965, 2004, 1037, 2422, 3120, 1010, 1996, 29413, 5259, 7287, 2003, 2025, 3024, 1010, 1998, 1996, 21203, 2422, 3120, 7886, 4240, 2004, 1037, 9138, 7504, 3120, 1012, 1037, 7308, 9402, 3491, 1999, 20965, 1012, 2340, 2050, 2003, 1037, 18546, 7308, 2008, 2003, 2036, 3615, 2000, 2004, 1037, 12441, 7308, 1010, 1999, 2029, 1037, 3384, 7308, 2075, 2143, 13092, 2107, 2004, 13675, 7060, 2003, 2719, 2058, 1037, 24209, 20591, 4318, 5127, 12606, 1012, 2478, 1037, 7312, 13996, 7524, 5080, 2066, 2008, 3491, 1999, 20965, 1012, 2184, 1010, 1037, 5418, 2003, 11310, 3031, 1037, 11333, 7512, 10114, 2011, 2965, 1997, 2422, 4458, 2083, 13675, 1011, 2489, 2752, 1997, 1996, 7308, 6036, 1012, 1037, 7308, 7558, 3491, 1999, 20965, 1012, 2340, 2497, 2003, 1037, 2431, 5524, 4403, 5670, 7308, 2383, 4100, 1011, 13338, 12392, 4857, 2143, 7060, 14078, 2081, 3952, 1997, 9587, 5332, 2030, 1996, 2066, 3024, 2058, 1037, 24209, 20591, 4318, 5127, 14677, 1012, 1037, 7308, 8574, 3491, 1999, 20965, 1012, 2340, 2278, 2003, 1037, 23310, 6132, 2239, 4403, 5670, 7308, 2008, 2003, 7235, 2000, 1996, 18546, 7308, 1006, 7308, 6036, 1007, 3491, 1999, 20965, 1012, 2340, 2050, 3272, 2008, 1037, 14185, 15471, 2003, 2719, 2008, 7137, 8380, 3014, 4403, 5670, 1999, 3327, 2422, 4458, 2083, 1996, 24209, 20591, 4318, 5127, 12606, 1012, 20965, 1012, 2260, 3065, 1037, 2422, 8015, 4353, 4663, 2043, 1996, 11333, 7512, 2003, 6086, 2478, 1996, 18546, 7308, 1006, 7308, 6036, 1007, 3491, 1999, 20965, 1012, 2340, 2050, 1010, 1998, 20965, 1012, 2410, 3065, 1037, 2422, 8015, 4353, 4663, 2043, 1996, 11333, 7512, 2003, 6086, 2478, 1996, 2431, 5524, 4403, 5670, 7308, 1006, 7308, 7558, 1007, 3491, 1999, 20965, 1012, 2340, 2497, 1012, 1037, 7831, 2090, 1996, 2422, 8015, 20611, 1997, 20965, 2015, 1012, 2260, 1998, 2410, 7657, 1996, 5966, 1999, 2422, 8015, 2090, 2367, 15806, 1012, 7727, 4919, 2000, 20965, 1012, 2410, 1010, 4659, 2235, 3893, 11373, 2024, 2464, 2012, 2593, 2217, 1997, 1996, 2364, 3893, 4672, 2005, 1996, 3444, 14506, 1025, 2122, 2235, 11373, 2024, 1996, 6827, 3426, 1997, 2217, 24423, 2008, 2024, 3563, 2000, 2431, 5524, 4403, 5670, 15806, 1012, 2019, 2742, 1997, 2129, 2217, 24423, 2024, 2580, 1999, 1996, 9507, 5418, 2097, 2022, 2649, 2917, 1012, 20965, 1012, 2403, 2050, 2003, 1037, 2327, 3193, 1997, 1037, 7308, 5418, 5018, 2109, 2588, 2537, 1037, 7744, 3614, 2008, 2003, 2109, 2005, 10723, 1996, 4443, 1997, 14098, 2046, 20229, 4810, 1048, 5332, 11772, 2013, 1996, 2648, 1012, 1996, 7744, 3614, 2003, 2036, 3615, 2000, 2004, 1037, 14098, 5012, 3614, 1012, 20965, 1012, 2403, 2497, 2003, 2019, 3746, 3193, 1997, 1037, 9507, 5418, 2719, 2478, 1996, 7308, 5418, 5018, 1012, 2009, 2003, 10358, 2008, 2045, 2024, 2217, 24423, 1055, 7013, 1999, 2752, 2060, 2084, 1996, 9059, 5418, 5018, 1997, 20965, 1012, 2403, 2497, 1010, 2029, 2024, 2025, 2556, 1999, 1996, 7308, 5418, 5018, 1997, 20965, 1012, 2403, 2050, 1012, 1996, 3739, 1997, 2217, 24423, 1055, 1999, 1996, 9507, 2588, 7524, 1997, 1996, 11333, 7512, 3463, 1999, 9507, 5418, 7859, 1010, 8021, 1997, 1996, 2217, 24423, 1055, 2044, 4385, 12053, 1010, 4385, 1012, 1010, 2877, 2000, 3532, 5080, 3737, 1012, 2947, 1010, 2045, 2038, 2042, 1037, 2342, 2000, 4685, 1037, 9507, 7524, 2832, 2096, 9992, 1996, 4325, 1997, 2107, 2217, 24423, 1012, 3602, 2008, 2130, 2043, 1996, 3078, 3444, 2038, 1996, 2168, 4338, 2004, 1996, 7744, 3614, 1010, 2714, 2217, 21833, 1011, 3141, 3471, 5258, 1012, 2947, 2009, 2038, 2042, 3223, 2000, 3477, 3086, 2043, 7161, 2000, 6162, 2240, 9148, 11927, 7898, 1997, 2055, 2062, 2084, 2093, 2335, 2004, 2312, 2004, 1996, 10124, 2240, 9148, 11927, 7898, 1997, 1996, 7978, 4245, 1010, 5834, 2006, 1996, 4292, 1997, 7308, 13827, 2012, 1996, 3115, 7524, 13004, 1010, 2295, 1012, 20965, 1012, 2321, 2050, 3065, 2019, 2742, 1997, 1037, 7308, 9621, 2005, 4920, 5418, 1010, 2029, 2003, 3024, 2007, 5034, 10354, 2015, 2008, 2031, 2468, 4703, 2109, 1012, 2004, 3491, 1999, 20965, 1012, 2321, 2050, 1010, 6509, 2838, 17365, 2024, 5412, 2105, 1037, 3078, 3444, 8148, 1999, 2107, 1037, 2126, 2008, 2027, 6509, 7524, 2083, 1996, 3078, 3444, 8148, 1012, 2009, 2038, 2042, 3491, 2008, 2023, 7308, 9621, 2064, 3623, 5995, 1997, 3579, 1006, 2079, 2546, 1007, 1012, 1996, 2946, 1998, 2597, 1997, 1996, 5034, 10354, 2015, 2024, 4340, 1999, 2422, 1997, 1996, 3785, 1997, 1996, 9507, 7524, 2832, 1025, 2174, 1010, 2009, 2003, 3227, 2590, 2000, 5676, 2008, 5034, 10354, 2015, 2196, 6140, 1012, 11914, 1010, 2348, 2079, 2546, 2003, 3053, 14267, 2000, 1996, 2946, 1997, 1037, 5034, 10354, 1010, 5034, 10354, 2015, 2342, 2000, 2022, 2109, 1999, 2107, 1037, 2126, 2008, 2027, 2196, 6140, 2006, 1996, 9507, 1010, 1998, 3568, 1010, 2045, 2003, 2019, 3356, 5787, 2007, 4847, 2000, 2037, 3850, 3468, 2946, 1012, 2065, 1996, 2946, 1997, 5034, 10354, 23651, 2023, 3356, 5787, 1010, 2009, 3463, 1999, 1996, 4195, 1997, 18162, 2838, 17867, 1010, 2029, 2024, 5173, 2013, 1996, 6509, 7060, 17365, 1010, 2012, 4460, 2060, 2084, 1996, 3078, 3444, 8148, 1010, 2004, 3491, 1999, 20965, 1012, 2321, 2497, 1012, 2000, 9462, 2023, 3291, 1996, 2206, 4118, 2038, 2042, 3818, 1010, 2005, 2742, 1010, 2029, 8681, 1996, 4084, 1997, 8021, 1037, 6302, 9335, 2243, 5418, 3031, 1037, 7760, 6132, 13043, 24604, 2143, 1010, 11717, 2019, 5648, 1999, 1996, 7760, 6132, 13043, 24604, 2143, 1010, 5716, 1037, 2892, 13767, 3085, 3430, 1011, 4820, 24604, 2143, 2058, 1996, 7760, 6132, 13043, 24604, 2143, 1010, 1998, 3395, 2075, 2119, 1997, 1996, 24604, 3152, 2000, 3684, 3949, 2000, 3499, 1996, 2892, 13767, 3085, 3430, 2000, 13595, 2892, 13767, 2075, 2000, 2433, 1037, 4668, 6741, 2012, 2037, 8278, 1010, 13557, 6267, 18162, 2838, 2024, 5892, 2013, 1996, 6267, 2838, 1006, 2156, 2887, 7353, 4646, 4201, 1011, 2330, 2053, 1012, 2541, 1011, 4002, 22203, 2683, 2581, 1007, 1012, 2023, 4118, 2003, 1010, 2174, 1010, 3132, 2000, 5072, 2135, 26986, 9507, 2015, 1999, 3408, 1997, 12711, 9507, 2015, 1010, 1998, 2947, 1996, 2846, 1997, 4989, 1997, 2800, 1997, 9507, 4475, 2003, 4867, 1012, 1999, 2804, 1010, 2892, 13767, 2075, 9597, 1999, 1996, 2892, 13767, 3085, 3430, 1011, 4820, 24604, 2143, 2024, 3697, 2000, 2491, 1012, 2947, 1010, 2007, 2023, 4118, 1010, 18162, 2838, 1997, 9671, 10826, 3685, 9352, 2022, 3718, 5147, 2981, 1997, 1996, 4127, 1997, 9507, 4475, 1012, 2009, 2003, 2019, 4874, 1997, 1996, 2556, 11028, 2000, 3073, 1037, 4118, 2005, 5814, 1037, 20681, 5080, 1010, 2029, 1996, 4118, 2003, 5214, 1997, 8114, 3742, 2537, 1997, 2152, 1011, 2836, 20681, 5733, 2011, 1010, 2588, 9922, 1997, 1037, 20681, 5080, 1010, 15349, 18162, 2838, 1006, 1041, 1012, 1043, 1012, 1010, 2217, 24423, 1007, 2580, 2362, 2007, 1037, 9507, 5418, 2011, 4317, 7406, 1996, 9507, 5418, 1010, 2000, 8558, 5547, 1996, 10859, 1999, 12697, 6302, 9335, 5705, 1998, 2000, 3623, 5995, 1997, 3579, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2410, 1050, 1012, 1046, 1012, 6535, 1006, 4052, 1007, 5818, 1037, 1012, 14134, 4583, 8788, 2389, 23506, 1010, 20579, 1011, 10439, 24178, 1010, 1058, 1012, 8227, 4674, 9395, 2078, 23506, 1010, 13474, 1011, 6869, 4765, 1012, 1996, 4259, 2457, 1997, 2047, 3933, 1012, 5275, 2233, 1023, 1010, 4052, 1012, 4373, 9077, 2094, 2258, 2322, 1010, 4052, 1012, 2787, 2238, 2570, 1010, 4052, 1012, 1008, 6445, 2720, 1012, 11527, 1041, 1012, 14548, 8684, 5275, 1996, 3426, 2005, 10439, 24178, 1006, 6752, 2869, 1012, 11320, 2213, 1010, 4189, 8751, 1004, 6469, 1010, 16214, 1007, 1012, 2720, 1012, 2198, 1042, 1012, 4575, 5275, 1996, 3426, 2005, 6869, 4765, 1006, 6752, 2869, 1012, 4575, 1004, 18906, 2891, 1010, 16214, 1007, 1012, 1996, 5448, 1997, 1996, 2457, 2001, 5359, 2011, 2002, 5886, 1010, 1046, 1012, 1996, 5574, 2003, 2013, 1037, 8689, 28913, 1996, 12087, 1012, 1008, 6640, 1996, 24665, 12462, 3549, 1997, 1996, 12254, 3426, 1997, 2895, 2003, 28616, 2890, 28994, 19304, 1010, 9861, 1010, 11703, 20175, 1998, 19819, 3672, 9382, 9051, 2011, 13474, 13557, 20579, 2001, 10572, 2000, 2191, 1037, 1000, 3510, 4093, 1000, 2006, 13474, 2029, 2443, 1037, 16636, 6651, 1010, 2044, 3510, 1010, 17447, 2075, 1999, 20579, 1998, 13474, 2019, 3776, 2011, 1996, 15700, 1999, 20579, 1005, 1055, 13160, 2160, 1999, 1996, 5538, 1997, 7987, 9257, 2571, 1010, 2047, 3933, 1010, 1998, 2036, 2512, 9247, 16402, 2100, 1997, 1996, 15046, 1012, 3648, 17602, 2179, 2008, 20579, 2018, 2025, 8760, 1996, 2006, 2271, 1997, 6947, 1997, 9861, 1012, 2002, 2001, 1997, 1996, 5448, 2008, 20579, 1005, 1055, 1000, 10896, 3061, 2894, 1010, 2777, 2007, 13474, 1005, 1055, 14920, 2015, 1010, 2515, 2025, 8984, 1996, 3154, 1998, 13359, 6947, 2015, 6827, 2000, 4372, 3775, 9286, 2032, 2000, 1996, 4335, 2002, 11014, 1012, 1000, 2057, 7378, 13474, 1005, 1055, 5574, 2006, 2256, 2219, 4367, 1012, 1996, 5286, 1997, 5574, 4119, 1996, 9556, 2081, 1999, 1996, 6020, 2457, 2004, 2025, 1999, 10388, 2007, 1996, 3350, 1010, 2119, 2004, 2000, 9861, 1998, 6959, 1025, 1998, 7561, 2003, 2036, 4137, 2588, 1996, 7667, 1997, 1037, 9517, 7408, 2114, 20579, 1012, 2023, 2003, 1996, 2553, 2081, 2011, 1996, 12087, 1024, 1999, 2281, 4085, 1010, 2044, 1037, 4766, 18363, 2096, 2006, 10885, 1999, 13525, 1010, 20579, 1010, 1037, 7794, 2121, 6163, 2086, 1997, 2287, 1010, 3818, 3510, 2000, 13474, 1010, 1037, 7794, 4720, 2086, 2214, 1010, 2021, 2016, 17183, 3126, 5596, 1000, 2006, 1996, 2598, 2008, 2107, 3510, 2052, 2765, 1999, 2307, 3361, 3279, 1998, 3891, 2000, 2014, 1010, 1000, 5052, 2000, 20579, 2008, 2016, 2001, 1000, 1996, 3841, 12879, 24108, 2854, 2005, 2166, 2030, 2127, 2128, 7849, 4360, 3351, 1997, 1996, 3318, 1997, 1037, 3056, 3404, 4636, 2511, 2011, 1996, 2197, 2097, 1998, 9025, 1997, 2028, 6127, 12551, 9395, 2078, 1997, 5087, 1010, 2563, 1010, 1000, 1996, 10181, 2269, 1997, 2014, 10181, 3129, 1010, 3815, 2075, 1999, 1996, 5658, 2000, 1015, 1010, 3156, 7038, 10933, 2566, 28907, 1010, 1998, 2008, 2011, 1996, 3408, 1998, 3785, 1997, 1996, 3404, 1000, 2014, 3318, 2052, 13236, 4498, 1998, 20868, 2890, 6767, 3540, 6321, 2065, 2016, 2323, 2128, 7849, 2854, 1010, 1000, 1998, 1000, 2016, 2018, 2053, 3200, 1010, 2030, 3318, 4998, 2013, 1996, 3318, 2013, 2056, 3404, 1010, 1000, 1998, 1000, 2005, 2216, 4436, 2016, 2071, 2025, 8984, 2000, 2128, 7849, 2854, 2302, 1037, 6937, 3510, 4093, 1010, 11706, 2000, 5851, 2014, 2925, 3361, 3036, 1999, 22470, 1997, 2056, 2166, 5754, 18518, 1012, 1000, 20579, 1010, 18345, 2588, 1996, 3606, 1997, 1996, 15066, 1010, 1000, 5763, 13474, 2008, 2065, 2016, 2052, 5138, 2010, 3749, 1997, 3510, 2002, 2052, 1010, 1999, 2804, 2000, 4637, 2014, 2004, 2010, 2564, 1010, 5851, 2014, 3361, 2925, 2000, 1996, 6698, 1997, 2010, 2965, 1999, 1996, 1008, 6391, 2724, 2008, 2002, 2323, 3653, 3207, 21456, 3366, 2014, 2011, 14391, 2000, 2014, 2010, 2972, 3776, 1010, 2107, 15210, 2000, 2202, 3466, 2588, 2010, 2331, 1998, 2000, 2022, 2081, 1999, 9584, 1997, 1998, 7704, 24964, 14905, 28393, 3672, 2005, 2014, 3279, 1997, 3318, 1000, 2104, 1996, 3404, 1012, 13474, 3970, 20579, 1005, 1055, 6378, 1997, 3510, 1000, 3395, 2000, 2056, 3818, 9347, 2005, 2014, 2925, 3361, 3036, 1999, 1996, 2724, 2008, 20579, 2323, 3653, 3207, 21456, 3366, 2014, 1012, 1000, 1996, 3510, 2001, 19487, 3550, 2285, 1017, 1010, 4085, 1010, 2012, 26584, 1010, 2047, 3933, 1012, 3202, 2206, 1996, 3510, 1010, 1998, 1999, 17975, 2588, 1996, 3606, 1997, 1996, 1000, 15066, 1010, 1000, 1998, 2000, 3466, 20598, 1996, 1000, 3510, 4093, 1010, 1000, 20579, 6472, 1000, 8195, 2000, 5323, 13474, 2004, 3841, 12879, 24108, 2854, 1997, 20579, 1005, 1055, 2166, 5427, 6043, 1010, 1037, 2197, 2097, 1998, 9025, 1998, 1006, 2005, 1996, 3800, 1997, 7163, 4328, 6774, 12839, 7773, 1007, 1037, 15046, 1997, 16636, 6651, 1000, 2005, 1996, 4915, 1999, 4848, 1000, 3832, 2043, 5359, 2000, 10463, 20579, 1005, 1055, 3776, 1000, 1999, 1996, 4915, 1000, 2046, 2019, 3776, 2011, 1996, 15700, 1999, 20579, 1998, 13474, 1012, 1000, 1999, 2344, 2008, 1000, 1996, 12598, 2453, 2022, 2949, 2011, 1996, 6959, 1997, 2035, 1997, 1996, 5693, 2012, 2028, 2051, 1010, 2107, 2051, 2000, 2022, 5412, 2044, 2035, 1997, 2068, 2323, 2022, 6472, 1010, 20579, 2069, 6472, 2056, 15046, 1997, 16636, 6651, 2006, 2285, 1017, 1010, 4085, 1998, 3303, 2009, 2000, 2022, 2680, 1999, 1996, 7805, 1005, 1055, 2436, 1997, 20433, 2221, 2006, 2285, 2403, 1010, 4085, 1012, 1000, 2044, 3405, 1010, 1996, 2221, 7805, 2513, 1996, 15046, 1000, 2000, 20579, 1005, 1055, 4905, 2004, 2856, 1000, 1025, 1998, 1996, 1000, 15046, 2001, 2196, 5359, 2000, 13474, 1010, 4496, 2106, 20579, 2412, 13566, 2000, 2191, 1037, 2556, 6959, 1997, 2009, 1010, 4496, 2020, 2151, 1997, 1996, 2060, 5693, 5359, 1012, 1000, 1000, 2006, 2030, 2055, 2285, 2321, 1010, 4085, 1010, 20579, 2150, 10027, 1997, 1996, 3606, 20938, 1000, 1997, 13474, 1005, 1055, 15066, 1000, 2138, 2016, 4188, 2000, 4604, 2000, 2563, 2005, 1037, 6100, 1000, 1997, 1996, 9395, 2078, 2097, 1010, 1000, 2004, 2016, 2018, 3530, 2000, 2079, 1000, 1025, 1998, 2002, 1000, 2045, 6279, 2239, 3303, 2019, 4812, 2000, 2022, 2081, 2029, 21362, 1000, 2008, 1996, 10181, 9395, 2078, 1000, 2018, 2025, 2580, 2151, 3404, 18971, 1999, 5684, 1997, 13474, 1010, 2011, 2010, 2097, 2030, 4728, 1010, 1000, 1998, 13474, 2018, 2025, 2042, 1999, 24306, 1997, 2019, 3318, 1999, 2151, 3815, 2013, 1996, 9395, 2078, 2155, 4745, 2000, 1996, 2331, 1997, 6127, 2006, 2255, 2340, 1010, 3912, 1010, 1998, 1000, 2018, 2025, 2042, 2019, 5754, 14663, 4630, 2104, 2151, 3404, 18971, 1012, 1000, 1008, 5594, 2009, 2003, 13642, 20529, 2008, 2018, 20579, 2124, 1997, 1996, 6904, 4877, 3012, 1997, 1996, 1000, 15066, 1010, 1000, 2002, 1000, 2052, 2025, 2031, 3530, 2000, 2191, 2056, 4093, 1012, 1000, 20579, 11014, 8689, 1024, 1006, 1037, 1007, 11675, 2075, 1996, 3820, 2000, 2191, 1996, 3510, 4093, 1010, 1998, 1006, 1038, 1007, 10037, 2075, 1996, 16636, 6651, 2000, 2022, 11675, 2030, 1010, 1999, 1996, 4522, 1010, 1996, 24501, 22987, 10992, 1997, 1996, 15046, 1998, 1037, 28667, 2239, 12417, 6651, 2000, 20579, 1012, 1996, 3904, 9048, 16173, 3401, 1997, 1996, 13647, 3404, 4636, 2030, 1000, 2166, 5754, 18518, 1000, 2003, 15848, 1025, 1996, 2437, 1997, 1996, 6630, 2003, 6380, 1012, 5262, 1010, 13474, 19514, 1999, 2014, 3437, 2000, 1996, 12087, 2008, 2016, 1000, 4188, 2195, 10340, 1997, 3510, 2011, 1996, 20579, 1010, 2302, 8263, 1010, 1998, 2633, 3970, 19325, 1010, 2069, 2006, 4650, 2008, 2014, 2345, 3437, 1000, 2022, 13366, 28849, 2094, 2127, 1000, 4495, 1000, 2001, 2018, 1996, 1000, 2488, 2000, 2113, 2169, 2060, 1010, 1000, 1998, 2009, 2071, 2022, 4340, 3251, 2030, 2025, 20579, 1005, 1055, 2336, 2052, 1000, 4874, 1000, 1998, 1000, 12346, 1037, 17666, 21621, 2000, 1037, 3407, 3510, 1000, 1025, 1998, 2008, 1996, 7781, 1997, 1996, 15046, 1000, 2001, 11850, 1037, 10758, 2552, 2006, 20579, 1005, 1055, 2112, 1010, 2981, 1997, 2151, 3820, 1010, 8426, 2030, 3025, 6512, 1010, 2029, 15046, 2016, 2196, 2387, 1010, 1998, 1997, 2029, 2016, 2354, 2498, 1010, 3272, 2075, 2008, 2009, 2001, 6472, 1998, 2680, 2004, 20579, 2409, 2014, 1010, 2138, 1010, 2004, 2010, 2564, 2002, 2371, 2016, 2001, 4709, 2000, 2009, 2004, 1037, 5592, 1010, 1000, 1998, 2016, 1000, 2038, 2053, 2592, 1000, 27818, 1996, 2097, 1010, 2021, 2016, 23439, 2008, 2049, 1000, 7781, 1008, 1008, 1008, 2001, 1996, 2765, 1997, 2151, 7565, 1010, 8426, 1010, 4872, 2030, 3820, 3188, 2000, 1996, 3510, 1012, 1000, 1998, 13474, 1005, 1055, 10896, 15802, 2015, 2007, 1996, 3437, 1012, 2045, 2018, 2042, 2053, 6594, 3649, 2077, 1996, 3510, 1000, 2055, 2151, 3361, 6512, 2030, 2769, 2030, 2505, 2842, 1999, 4434, 2007, 17945, 3510, 1012, 1000, 3859, 2044, 2037, 3116, 1999, 13525, 1010, 2016, 3530, 2000, 1996, 3510, 1010, 1000, 2021, 2006, 2028, 4650, 2008, 1000, 2016, 1000, 2323, 3113, 2010, 2336, 2034, 1998, 2027, 2052, 5993, 2000, 1996, 3510, 1012, 1000, 2016, 2034, 1000, 2657, 1000, 1997, 1996, 15046, 1999, 3160, 2006, 2285, 2656, 1010, 4085, 1010, 1998, 2009, 2001, 1996, 20579, 2040, 3764, 1997, 2009, 1012, 2002, 2056, 1024, 1000, 1045, 2031, 2464, 1037, 2767, 2040, 2003, 2200, 29321, 1998, 1045, 2215, 2017, 2000, 2031, 2008, 3200, 1998, 1045, 2089, 2507, 2008, 3200, 2000, 2017, 2006, 2119, 3415, 1998, 2036, 1037, 2097, 1012, 1000, 2045, 2018, 2042, 2053, 3188, 6594, 1997, 1037, 2097, 1012, 1008, 6564, 20579, 28049, 2008, 2065, 1010, 1000, 2004, 2112, 1997, 1996, 3749, 1997, 3510, 1998, 4895, 22254, 18796, 2094, 2011, 2151, 27105, 28616, 2890, 28994, 19304, 2011, 1996, 13474, 1010, 1996, 6378, 2018, 2443, 1996, 4872, 2000, 2191, 1996, 15046, 1010, 1000, 1996, 15046, 2052, 2022, 10462, 1999, 19722, 19666, 6906, 3468, 1025, 1996, 1000, 22663, 9584, 2005, 1996, 15046, 2052, 2022, 1996, 13474, 1005, 1055, 2836, 1997, 2014, 4872, 2000, 5914, 1012, 1000, 2021, 2009, 2003, 7278, 2008, 2107, 2003, 2025, 1996, 3663, 3936, 2011, 1996, 16418, 2015, 1998, 1996, 6947, 2015, 1010, 2005, 2104, 13474, 1005, 1055, 2544, 1997, 1996, 12598, 1037, 4872, 1997, 1037, 3200, 4093, 2003, 1000, 5451, 2041, 2004, 1037, 9584, 2030, 19653, 3672, 2005, 1996, 3510, 1010, 1000, 1998, 1996, 16636, 6651, 2001, 1037, 5760, 5592, 1010, 10572, 2011, 2293, 1998, 12242, 2894, 1010, 1998, 1000, 2025, 1996, 3510, 1010, 2005, 1996, 3510, 2018, 2525, 2579, 2173, 1010, 1000, 2096, 1996, 3192, 1997, 20579, 1005, 1055, 12254, 3426, 1997, 2895, 2003, 1037, 4872, 1000, 24172, 2000, 2010, 3749, 1997, 3510, 1000, 10572, 2011, 13474, 1005, 1055, 1000, 28616, 2890, 28994, 19304, 2008, 2014, 2128, 7849, 4360, 3351, 2052, 2765, 1999, 1996, 3279, 1997, 2019, 2394, 5754, 18518, 1010, 1000, 2000, 1000, 2191, 2204, 1996, 3279, 2011, 2437, 1037, 3200, 9347, 2005, 2014, 1000, 1025, 1998, 2008, 1000, 2006, 1996, 3350, 1997, 2593, 2217, 2009, 2003, 3154, 2008, 2053, 16306, 3085, 14405, 2063, 1011, 16371, 13876, 4818, 3820, 2030, 3200, 4093, 2001, 2081, 2090, 1000, 1996, 4243, 1012, 2045, 2001, 2053, 2695, 1011, 16371, 13876, 4818, 3206, 1010, 2009, 2003, 15848, 1010, 1000, 2144, 1996, 3510, 1010, 2108, 2627, 1010, 2071, 2025, 12346, 1037, 9398, 9584, 1012, 1000, 2021, 2009, 2003, 2056, 2008, 2045, 2001, 1037, 2695, 1011, 16371, 13876, 4818, 4093, 2006, 1996, 2564, 1010, 1998, 2009, 5609, 2025, 3251, 2009, 2022, 8357, 1037, 1000, 5592, 1999, 29362, 1997, 2019, 3041, 4872, 1010, 2295, 16655, 2078, 14821, 3085, 1010, 2030, 1037, 2556, 13445, 15142, 2000, 2151, 14405, 26005, 16454, 4872, 1010, 1000, 2005, 1999, 2593, 2724, 1000, 2151, 9861, 29290, 1996, 5592, 6819, 10711, 4570, 2009, 1012, 1000, 2009, 2003, 9720, 2008, 1996, 3350, 4107, 2053, 2490, 2005, 1996, 7091, 2008, 1000, 1996, 3510, 2001, 1996, 19653, 3672, 1010, 1045, 1012, 1041, 1012, 1010, 1996, 9584, 2005, 1996, 15046, 1000, 1025, 1998, 1996, 4187, 3277, 2003, 3090, 2000, 2022, 1000, 3251, 1996, 15046, 1006, 2081, 1999, 29362, 1997, 2019, 3041, 4872, 1010, 2004, 1996, 20579, 4447, 1010, 2030, 2004, 1037, 2101, 5592, 1010, 2004, 1996, 13474, 4447, 1010, 1007, 2001, 2030, 2001, 2025, 10572, 2011, 1996, 13474, 1005, 1055, 28616, 2890, 28994, 19304, 1012, 1000, 1996, 13384, 2003, 2008, 20579, 1005, 1055, 4872, 2000, 3073, 2005, 2010, 2564, 1000, 2003, 10462, 5664, 2013, 1998, 2981, 1997, 1996, 8147, 2000, 5914, 1010, 1000, 1998, 2001, 2881, 1000, 2000, 6366, 2019, 17727, 2098, 14428, 3372, 2000, 1996, 2437, 1997, 1996, 3206, 2000, 1008, 6584, 5914, 1010, 1000, 1998, 1996, 1000, 7082, 9584, 1997, 1996, 3510, 2001, 1010, 15848, 2135, 1010, 1996, 8203, 3820, 1997, 1996, 4243, 2000, 16617, 1998, 4685, 1996, 5704, 1998, 14422, 5043, 2000, 1996, 3510, 1010, 6168, 1996, 4872, 2000, 2191, 9347, 2005 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 5530, 5095, 1010, 2254, 2459, 1010, 2325, 3645, 1021, 3590, 9017, 2065, 2017, 1005, 2128, 3236, 1999, 1037, 3663, 2073, 2017, 2031, 2288, 2439, 2115, 3645, 1021, 3590, 9017, 2275, 2039, 9785, 2030, 3714, 2009, 2011, 4926, 1010, 2017, 1005, 2222, 2022, 2583, 2000, 2012, 2035, 2335, 8816, 1037, 24473, 1997, 2115, 3645, 1021, 11163, 5371, 2013, 7513, 2993, 1012, 2116, 3633, 2024, 2788, 2025, 5204, 1997, 2023, 1998, 2087, 1997, 1996, 2051, 2027, 5373, 2203, 1997, 8816, 2075, 11304, 2094, 4809, 1997, 7513, 3645, 1021, 2013, 3365, 4573, 2006, 1011, 2240, 1012, 2224, 2151, 1997, 1996, 4725, 2029, 3544, 2000, 2022, 16325, 2005, 2017, 1012, 2004, 2005, 1996, 10697, 2009, 3849, 2000, 2022, 2019, 3277, 2247, 2007, 2115, 2524, 9785, 1012, 1037, 3435, 8224, 3945, 2097, 2191, 2009, 6082, 2000, 7523, 2041, 1037, 5576, 2005, 1996, 10697, 1012, 1045, 2031, 1037, 2047, 4624, 2327, 7473, 2008, 2038, 3645, 1021, 8442, 2176, 2978, 1012, 2004, 1037, 2765, 1997, 2026, 4007, 2565, 2006, 2026, 2897, 1045, 2052, 2066, 3590, 2978, 1012, 1045, 22817, 3645, 1021, 3590, 2978, 1060, 20842, 2394, 1010, 6402, 2009, 2000, 1037, 4966, 1010, 1998, 2699, 2000, 16500, 2009, 1012, 2009, 2097, 2025, 2292, 2033, 2175, 2067, 2000, 1037, 3590, 16313, 1012, 2515, 3087, 2113, 2054, 1045, 2064, 2079, 2000, 2131, 2153, 2000, 1037, 3590, 2978, 2291, 1029, 2151, 2393, 2453, 2022, 6551, 12315, 999, 2024, 2122, 11163, 2015, 1997, 2663, 1022, 2030, 2663, 1021, 1029, 1045, 3305, 2008, 2663, 1021, 2003, 1996, 9675, 2404, 1999, 2544, 2021, 1045, 2001, 3432, 8025, 2065, 2028, 2003, 2583, 2000, 3443, 1037, 3188, 2275, 2039, 3729, 2013, 4745, 2544, 2006, 2663, 1012, 1045, 2134, 1005, 1056, 2228, 2008, 2001, 4022, 1998, 2071, 2022, 2204, 2951, 2000, 2113, 1012, 7592, 1045, 2572, 2478, 2023, 2000, 2404, 1999, 2006, 1037, 12191, 3274, 2008, 2038, 26726, 1012, 1045, 22817, 1996, 5371, 2006, 2008, 12191, 2044, 2029, 2580, 1037, 9573, 3085, 5956, 3298, 1012, 1045, 1005, 1049, 3403, 2005, 2035, 1997, 2009, 2000, 7170, 3031, 1996, 5956, 2085, 2026, 3160, 2003, 2079, 1045, 3432, 13354, 2009, 1999, 2000, 1996, 12191, 2004, 2003, 2007, 26726, 2006, 2009, 2030, 2079, 1045, 2031, 2000, 2079, 13387, 2009, 2041, 2034, 1029, 1029, 3531, 2393, 2033, 1045, 1005, 2310, 2042, 22308, 2007, 2023, 3698, 2005, 1016, 2431, 2420, 2085, 1010, 2008, 2015, 2339, 1045, 2787, 2000, 2404, 3645, 1021, 2006, 2009, 1012, 2053, 1010, 2017, 2342, 2025, 13387, 2242, 1012, 2004, 2855, 2004, 2115, 9573, 3085, 18833, 5956, 3298, 2003, 3201, 1010, 2017, 2089, 7532, 1996, 18833, 5956, 3298, 2007, 2017, 7473, 1998, 2059, 23818, 2009, 1012, 2043, 2115, 12191, 23818, 2015, 1010, 2175, 2000, 1996, 16012, 2015, 1998, 2275, 1996, 18833, 5956, 3298, 2007, 2034, 9573, 23359, 1010, 3828, 1996, 10906, 1998, 23818, 1012, 2043, 2115, 3274, 6879, 2039, 2320, 2062, 2017, 2089, 2022, 9469, 2000, 2811, 1037, 3145, 2000, 2707, 1996, 3645, 1021, 8272, 1012, 7592, 2293, 16963, 2102, 1010, 2069, 1037, 3435, 3160, 1012, 1045, 22817, 2663, 1021, 4013, 8442, 2176, 1998, 5296, 1996, 19565, 2000, 9785, 1012, 2699, 23658, 2009, 2006, 2093, 3294, 2367, 7473, 1005, 1055, 1010, 2035, 1017, 12191, 1005, 1055, 6879, 18228, 1010, 2021, 2035, 2093, 11896, 3054, 2275, 2039, 1012, 2699, 1016, 2367, 2047, 4966, 1005, 1055, 1010, 2699, 3015, 2012, 1016, 2595, 10898, 14925, 2102, 1010, 2025, 2551, 1012, 2021, 1010, 2043, 1045, 2275, 2039, 1037, 1058, 2213, 3698, 2013, 1996, 19565, 2009, 2428, 2573, 27503, 1012, 2054, 2089, 9495, 2009, 2025, 2000, 2147, 2006, 4966, 1029, 2009, 17991, 5372, 1996, 2173, 2009, 4627, 2000, 9377, 1996, 3645, 16437, 2592, 1012, 2296, 2518, 2685, 2000, 1037, 28829, 4966, 2021, 1045, 1005, 2310, 11060, 1017, 6135, 2367, 4809, 2013, 2048, 6681, 1006, 2245, 2009, 2071, 2022, 2026, 4966, 3166, 1012, 1007, 1045, 2572, 22475, 2098, 1012, 4931, 12043, 1010, 4283, 2005, 1996, 7514, 1012, 2699, 1996, 18833, 6028, 1010, 2021, 2026, 7473, 3432, 17991, 2044, 1996, 2695, 2607, 1997, 1010, 5372, 3041, 2084, 2009, 1005, 1055, 4011, 2000, 9573, 1012, 1045, 1005, 2310, 2949, 2070, 27571, 18483, 1010, 2021, 2009, 3849, 2066, 1045, 1005, 1049, 1996, 2069, 2028, 2383, 2122, 7957, 1997, 2685, 1012, 2045, 29278, 1045, 1005, 2310, 2000, 1999, 7512, 2008, 1996, 3277, 2003, 4873, 2006, 2026, 2227, 2102, 1012, 1045, 2097, 9543, 5484, 1037, 2978, 2007, 2122, 7008, 1010, 1998, 3189, 2067, 2043, 1045, 7523, 1996, 3291, 1012, 1045, 1005, 2310, 2179, 2019, 14469, 2663, 1021, 9785, 2306, 1996, 12507, 1010, 2021, 2023, 2003, 17067, 2033, 2339, 1045, 2064, 2102, 2131, 2009, 2000, 2147, 1012, 8827, 4283, 2005, 2039, 18570, 2122, 1012, 2293, 16963, 2102, 1010, 9388, 2615, 2003, 2995, 1010, 2009, 3475, 1005, 1056, 2055, 2008, 2003, 2880, 4180, 3430, 2030, 2025, 1010, 9108, 2629, 2030, 23325, 2030, 2296, 2060, 14148, 2819, 4473, 2017, 2000, 9398, 3686, 2008, 2017, 3432, 22817, 1996, 5371, 2007, 2041, 7510, 2049, 11109, 1010, 2061, 2044, 2017, 8816, 1996, 5371, 2017, 3432, 3231, 1996, 9108, 2629, 2012, 3617, 2314, 8241, 5443, 1996, 9108, 2629, 1997, 1996, 5371, 1999, 2115, 3274, 1010, 2065, 2027, 2123, 1005, 1056, 4025, 2000, 2022, 1996, 2168, 2059, 2242, 2253, 25622, 2007, 9805, 2099, 8816, 1010, 1998, 2004, 1045, 2525, 2056, 1010, 2009, 2987, 2102, 2031, 2505, 2000, 2079, 2007, 3617, 2314, 2108, 2880, 7513, 16222, 25377, 13231, 1529, 1012, 7592, 1010, 2074, 2202, 1037, 2298, 2012, 1996, 2880, 7513, 21415, 1010, 2017, 1005, 2222, 7523, 1996, 29420, 2015, 2058, 2045, 5378, 2122, 23760, 13767, 2015, 2000, 3071, 1012, 2122, 4249, 2024, 3294, 5123, 1998, 2005, 2216, 2040, 2079, 1037, 8224, 3945, 2017, 2064, 2156, 2122, 6971, 2006, 2116, 2062, 22353, 11744, 1012, 2025, 1037, 2843, 1010, 2122, 11163, 2592, 2024, 2074, 2055, 1996, 2168, 3924, 2021, 2027, 2024, 2041, 2045, 23389, 2367, 6833, 1012, 2096, 5796, 2094, 2078, 2003, 2005, 16472, 1010, 3617, 24352, 14084, 2003, 2005, 1996, 5955, 4497, 7347, 1012, 2017, 2089, 2202, 1037, 2298, 2012, 1996, 7513, 21415, 1010, 2087, 29420, 2015, 2058, 2045, 3073, 3645, 1021, 23760, 13767, 2015, 4354, 2006, 3617, 24352, 1012, 2017, 2453, 2022, 5372, 1010, 2021, 1045, 2318, 2023, 11689, 2000, 3745, 2122, 3645, 1021, 23760, 13767, 2015, 1012, 1045, 2134, 1005, 1056, 2018, 2151, 2245, 1997, 2023, 2404, 2039, 5278, 2046, 2205, 3115, 1012, 1999, 2151, 2553, 2115, 12247, 2097, 2941, 6509, 3243, 1037, 2843, 1997, 2256, 7193, 1010, 4283, 6775, 1012, 1045, 2097, 5587, 2115, 23760, 13767, 2000, 1996, 2695, 1012, 2035, 2122, 3645, 1021, 11163, 1005, 1055, 2272, 2007, 2035, 1996, 11867, 2487, 14409, 1012, 1045, 2064, 2102, 2360, 2129, 2172, 3025, 2024, 2122, 1010, 2144, 7513, 2052, 2025, 3073, 2008, 18558, 1012, 2717, 8916, 2017, 1005, 2222, 2031, 2000, 8816, 2200, 2261, 14409, 2044, 2017, 2404, 1999, 3645, 1021, 2013, 2122, 11163, 1005, 1055, 1012, 2009, 3544, 7513, 2038, 8944, 2122, 3645, 1021, 11163, 2636, 2850, 2696, 1012, 1999, 1996, 5564, 2157, 2182, 2003, 2025, 2151, 13964, 2013, 7513, 2055, 2023, 1012, 2009, 2071, 2130, 2022, 1037, 5741, 3291, 1012, 1999, 2553, 7513, 3640, 7172, 3645, 1021, 11163, 4871, 1010, 1045, 1005, 2222, 5587, 2068, 2157, 2182, 1012, 2009, 3227, 9041, 2588, 2115, 4773, 4434, 1012, 2017, 3711, 2000, 2031, 1037, 6706, 4274, 4434, 1010, 2174, 2005, 3633, 2040, 4033, 1005, 1056, 2288, 2204, 4773, 4434, 1010, 1037, 8816, 3208, 2052, 2022, 1037, 2488, 3601, 1010, 2144, 2009, 2097, 2064, 2393, 2017, 13236, 1998, 13746, 1996, 8816, 15933, 1012, 7592, 1012, 1045, 2572, 8816, 2075, 2009, 2157, 2085, 1012, 1045, 2097, 16500, 2009, 2006, 1996, 2047, 3274, 1045, 2572, 9343, 4826, 1012, 3160, 2003, 1010, 2064, 1045, 8816, 2009, 2085, 2059, 3828, 2006, 1037, 5956, 3298, 2059, 2275, 2039, 2006, 1996, 4435, 2047, 12191, 1029, 2065, 2748, 1010, 2129, 1029, 4283, 999, 4067, 2017, 2005, 14739, 1998, 4346, 1996, 2951, 1012, 1045, 22817, 2054, 1045, 3373, 2001, 2026, 6413, 2944, 1998, 2044, 2275, 2039, 1010, 1045, 2131, 5881, 1999, 1037, 9573, 11066, 7561, 7077, 1012, 1037, 2193, 1997, 1996, 10697, 2360, 2045, 2024, 15584, 10697, 1012, 2070, 2024, 3038, 2045, 2024, 4394, 22752, 3787, 1012, 1045, 2572, 16911, 1996, 3645, 4185, 2978, 2188, 12882, 1999, 2394, 1998, 7161, 2000, 2404, 1999, 2023, 2006, 1037, 19102, 1050, 16068, 2692, 4606, 4979, 2338, 2008, 2018, 1037, 3645, 1021, 11753, 9998, 2174, 2038, 2144, 8007, 1012, 7592, 22765, 1010, 1045, 2180, 2102, 16755, 2017, 5128, 1999, 1037, 8442, 2176, 2978, 9808, 1999, 2115, 4979, 2338, 1012, 1045, 7039, 2041, 1996, 28699, 2015, 1998, 2009, 3849, 2008, 1996, 1015, 18259, 1997, 8223, 2006, 2115, 14960, 2089, 10654, 4842, 2049, 8122, 1012, 2007, 2026, 11532, 1010, 1045, 2064, 2391, 2041, 1996, 3291, 2000, 2022, 3141, 2362, 2007, 2115, 2524, 9785, 1012, 2017, 2442, 2132, 2058, 2000, 1996, 7513, 7923, 1998, 2424, 2041, 2065, 3087, 2842, 2038, 1996, 2168, 12482, 5178, 2004, 6737, 1012, 12191, 2053, 16429, 2182, 1012, 2061, 1010, 2044, 1045, 8816, 1996, 2544, 1045, 2018, 2006, 2026, 6522, 12191, 3274, 1010, 2059, 5128, 2009, 2006, 1037, 9573, 3085, 18833, 5956, 3298, 1010, 1045, 11276, 2000, 2022, 5214, 2000, 16500, 2009, 2006, 2026, 6097, 2478, 9573, 26468, 1029, 2047, 2000, 6097, 1998, 2001, 7135, 2000, 6148, 2041, 2045, 3475, 1005, 1056, 2151, 2173, 2000, 2404, 1999, 1037, 3729, 2006, 2023, 2518, 1012, 2017, 2031, 2000, 2022, 16911, 6097, 8654, 2250, 1010, 5372, 1029, 19957, 2006, 15038, 2015, 2017, 1005, 2222, 2022, 2583, 2000, 9578, 2275, 2039, 3645, 16911, 1037, 9573, 3085, 18833, 3298, 1012, 1999, 2553, 2017, 2525, 2580, 2028, 1010, 2175, 2000, 12944, 3945, 1998, 2828, 9573, 3409, 3353, 1524, 1010, 1998, 2017, 2064, 5454, 2169, 8816, 1996, 2087, 3522, 3645, 2393, 4007, 2013, 6207, 1524, 1998, 2275, 2039, 3645, 1021, 2030, 2101, 2944, 1524, 1012, 2017, 1005, 2222, 2022, 2583, 2000, 2059, 13571, 2115, 3298, 1998, 19274, 2115, 18833, 3298, 1010, 1998, 2036, 2017, 1005, 2128, 2204, 2000, 2175, 1012, 1045, 22817, 1998, 5361, 1996, 11163, 2044, 1006, 6289, 6633, 1007, 1037, 2388, 6277, 6110, 1006, 5335, 9587, 1011, 8945, 1013, 9090, 2291, 1007, 1025, 2174, 1045, 2215, 2000, 4236, 2026, 7513, 9537, 2013, 2026, 3025, 2388, 6277, 7473, 1998, 2059, 2275, 2039, 2026, 7209, 12200, 3642, 2101, 1012, 2021, 4445, 3642, 11082, 2033, 4236, 1012, 1045, 2018, 2018, 2000, 4965, 7209, 5335, 2000, 2131, 3645, 1999, 2394, 2004, 1996, 2887, 3645, 1021, 12191, 2106, 2025, 2031, 2019, 2394, 2653, 6061, 1007, 1012, 2044, 1045, 2175, 2000, 4236, 2012, 7513, 2009, 4136, 2033, 1045, 2064, 1005, 1056, 2079, 2008, 1998, 2101, 3640, 2033, 1037, 11712, 2000, 2655, 1012, 2174, 2027, 2089, 2025, 4236, 2026, 10218, 9537, 2119, 1006, 2138, 2027, 2031, 2042, 2109, 2006, 2026, 6289, 6633, 3041, 2388, 6277, 1007, 1010, 2027, 2788, 3855, 2027, 1005, 1040, 2404, 2033, 3081, 2000, 2070, 4087, 6509, 1998, 1996, 3042, 2253, 22185, 2012, 2037, 2203, 1012, 2017, 2323, 2022, 5214, 2000, 2224, 2115, 7642, 3145, 2000, 20544, 3645, 2004, 2146, 2004, 2017, 2453, 2022, 16911, 2009, 2006, 1037, 2309, 3274, 2012, 1037, 2051, 1012, 2144, 1045, 1005, 1049, 2025, 19957, 5204, 1997, 2023, 4009, 5963, 1010, 1037, 3618, 2173, 2000, 2424, 1037, 5576, 2000, 2115, 4009, 5963, 2064, 2022, 1996, 7513, 21415, 1012, 1045, 22817, 1998, 5361, 1996, 11163, 2044, 1006, 6289, 6633, 1007, 1037, 2388, 6277, 6110, 1006, 5335, 9587, 1011, 8945, 1013, 9090, 2291, 1007, 1025, 2021, 1045, 2342, 2000, 4236, 2026, 7513, 9537, 2013, 2026, 3041, 2388, 6277, 7473, 1998, 2059, 16500, 2026, 7209, 5335, 3642, 2101, 1012, 2174, 4445, 3642, 11082, 2033, 4236, 1012, 1045, 2018, 2018, 2000, 4965, 7209, 12200, 2000, 2131, 3645, 1999, 2394, 2138, 1996, 2887, 3645, 1021, 7473, 2106, 2025, 2031, 2019, 2394, 2653, 6061, 1007, 1012, 2000, 2131, 1996, 4031, 3145, 2017, 2071, 5309, 2009, 2013, 7513, 1010, 2045, 3475, 1005, 1056, 1037, 2489, 4031, 3145, 1012, 2065, 2017, 2031, 1037, 25963, 2663, 2581, 3274, 2461, 2008, 2017, 3432, 2123, 2102, 2224, 2017, 1005, 2222, 2022, 2583, 2000, 29453, 2224, 2049, 4031, 3145, 1010, 2295, 2017, 2089, 2215, 2000, 26709, 6593, 21466, 1996, 3645, 1021, 2006, 2008, 12191, 1010, 3432, 2000, 5676, 2009, 2573, 1012, 2053, 1010, 2017, 2342, 2025, 13387, 2505, 1012, 2004, 2574, 2004, 2115, 9573, 3085, 18833, 5956, 3298, 2003, 4810, 1010, 2017, 1005, 2222, 2022, 2583, 2000, 7532, 1996, 18833, 5956, 3298, 2007, 2017, 12191, 2044, 2029, 23818, 2009, 1012, 2043, 2115, 3274, 23818, 2015, 1010, 2175, 2000, 1996, 16012, 2015, 1998, 2275, 1996, 18833, 5956, 3298, 2007, 2034, 9573, 23359, 1010, 3828, 1996, 10906, 1998, 23818, 1012, 2043, 2115, 7473, 6879, 2039, 2153 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6458, 1005, 1055, 2533, 1024, 4357, 2007, 21142, 1005, 1055, 6972, 11262, 2280, 1057, 1012, 1055, 1012, 5832, 2990, 5708, 2018, 2053, 2801, 2074, 2129, 2172, 2010, 2166, 2052, 5091, 2689, 2043, 1010, 2274, 2086, 3283, 1010, 2002, 1998, 2010, 9454, 2684, 11199, 9845, 2588, 1996, 2210, 2237, 1997, 21142, 1012, 2023, 2980, 8270, 1997, 3935, 4045, 2470, 1998, 2458, 2150, 2010, 1998, 11199, 1521, 1055, 2047, 2188, 1010, 2007, 5708, 2108, 18026, 2004, 1996, 2237, 1521, 1055, 2047, 6458, 1012, 2002, 2038, 2144, 2018, 2000, 3066, 2007, 11576, 4785, 3431, 1010, 3901, 27491, 22863, 19966, 2075, 1010, 13276, 16594, 3909, 13507, 1998, 2035, 5450, 1997, 2060, 9280, 23546, 28616, 3270, 4523, 2025, 2467, 2021, 2788, 4198, 2000, 2028, 1997, 1996, 11067, 2229, 2012, 1996, 2334, 2228, 1011, 4951, 3795, 10949, 1012, 2012, 1996, 2707, 1997, 21142, 1521, 1055, 2959, 2161, 1010, 5708, 1010, 2852, 1012, 10786, 6511, 1010, 2852, 1012, 2888, 14845, 1010, 2852, 1012, 5203, 23054, 1010, 1998, 4112, 8183, 11320, 6873, 2020, 2741, 2067, 1999, 2051, 2114, 2037, 2097, 2000, 4006, 1998, 1996, 4889, 1997, 21142, 1012, 2027, 3266, 2000, 2191, 2009, 2067, 2000, 1996, 2556, 2154, 1010, 2021, 2000, 2019, 6585, 17060, 2073, 2477, 2024, 2025, 2035, 3243, 1996, 2168, 1012, 1999, 2990, 1521, 1055, 2553, 1010, 2174, 1010, 2002, 2003, 2145, 6458, 1010, 1998, 1999, 1996, 2161, 1018, 1012, 1019, 16181, 1523, 6336, 7245, 1010, 1524, 2256, 5394, 2003, 4320, 2007, 2664, 2178, 24026, 3663, 2043, 23054, 1998, 6944, 12729, 9554, 4888, 3209, 2046, 3011, 8753, 27120, 2019, 2214, 2686, 18269, 2007, 1037, 3132, 4425, 1997, 7722, 1012, 1523, 2008, 2003, 1037, 2307, 2792, 1010, 1524, 2758, 21142, 1521, 1055, 2877, 2158, 6972, 11262, 1010, 2040, 3248, 6458, 5708, 1012, 1523, 1996, 2190, 2518, 2055, 2009, 2003, 23054, 1031, 6606, 3897, 7106, 1033, 1998, 6944, 1031, 21889, 3043, 1033, 1012, 2009, 2001, 4658, 2000, 2156, 2048, 2107, 10904, 5889, 7523, 2037, 1031, 2006, 18182, 1033, 6370, 2007, 2169, 2060, 1010, 1998, 2005, 1996, 2034, 2051, 2216, 2040, 2024, 3666, 2024, 2183, 2000, 2228, 1010, 1520, 10166, 1010, 2216, 4364, 2024, 27547, 2362, 1005, 1012, 1045, 2293, 2000, 2156, 2008, 2130, 2007, 1037, 2694, 2265, 2004, 2214, 2004, 14635, 1010, 2008, 2057, 1521, 2128, 2145, 2583, 2000, 2424, 1037, 2047, 12125, 2066, 2008, 1012, 1523, 1045, 2031, 1037, 2193, 1997, 5019, 1999, 1005, 6336, 7245, 1005, 2004, 2092, 2004, 1996, 2279, 2792, 1010, 1005, 16851, 1010, 1005, 2007, 10556, 6212, 3044, 1031, 4112, 5557, 1011, 2928, 2462, 1033, 1010, 2040, 2003, 2061, 4569, 2000, 2031, 2105, 1998, 2022, 2006, 1011, 2275, 2007, 1012, 2002, 1521, 1055, 2019, 6429, 2804, 2000, 1996, 2265, 1012, 10556, 6212, 3248, 1037, 8957, 1998, 1045, 4066, 1997, 17523, 2125, 1997, 2032, 1012, 1045, 2031, 2000, 6449, 2008, 2005, 2033, 2009, 5683, 3492, 3947, 3238, 2005, 1996, 2087, 2112, 1012, 10556, 6212, 2003, 1996, 2028, 2040, 2038, 2000, 2079, 1996, 1520, 3082, 8783, 1012, 1521, 2090, 1996, 2048, 1997, 2149, 2002, 1521, 1055, 2288, 1996, 6211, 3105, 2138, 2002, 1521, 1055, 2288, 2000, 10580, 2008, 2010, 2839, 2003, 1037, 8957, 2012, 2296, 2735, 2007, 2010, 17002, 2080, 1998, 2303, 15323, 1012, 1523, 2256, 6443, 2031, 2589, 2019, 9788, 3105, 2007, 1996, 5889, 2008, 2027, 1521, 2310, 2716, 27120, 1012, 2023, 2161, 2017, 1521, 2128, 2183, 2000, 2156, 1037, 2307, 3066, 2062, 1997, 10556, 6212, 2247, 2007, 27579, 2154, 1031, 2852, 1012, 9079, 20481, 2368, 1033, 1010, 19863, 10500, 2239, 1031, 2852, 1012, 7527, 11968, 18774, 1033, 1998, 4913, 17106, 1010, 2035, 1997, 3183, 2024, 4010, 1010, 4569, 3633, 2007, 2204, 2943, 1012, 1524, 1999, 1996, 3098, 27071, 1997, 1523, 6336, 7245, 1010, 1524, 2990, 5708, 2003, 5102, 1999, 1037, 10722, 19068, 2080, 1998, 4810, 2005, 1037, 5030, 1012, 2071, 2009, 2022, 2008, 1996, 6458, 1521, 1055, 2146, 1011, 21934, 27851, 7472, 2007, 2852, 1012, 10786, 6511, 1006, 16183, 3669, 9482, 1011, 1059, 16584, 3790, 1007, 2038, 2633, 2272, 2000, 1996, 26077, 1998, 1996, 2048, 2024, 2055, 2000, 5495, 1996, 12226, 1029, 2092, 1010, 2025, 3599, 1012, 2009, 4332, 2041, 2008, 1996, 5103, 2003, 1010, 1999, 2755, 1010, 2005, 4112, 5557, 1998, 2990, 1521, 1055, 6047, 4580, 1055, 1012, 1037, 1012, 1054, 1012, 1037, 1012, 1044, 1012, 2009, 3849, 5708, 1998, 10786, 2024, 2000, 3613, 5306, 1010, 2012, 2560, 2005, 2085, 1010, 1998, 2008, 2003, 2074, 2986, 2007, 11262, 1012, 1523, 2008, 1521, 1055, 2178, 7814, 1997, 1996, 2186, 2008, 1045, 1521, 1049, 2087, 7098, 1997, 1011, 1996, 2755, 2008, 1996, 4898, 2024, 3015, 1037, 1520, 3671, 1521, 3276, 2090, 2990, 1998, 10786, 1010, 1524, 3964, 1996, 3364, 1012, 1523, 2009, 22901, 3254, 1012, 2045, 2024, 3471, 1010, 2613, 3924, 1010, 1998, 27427, 8586, 19969, 2004, 2092, 1012, 2009, 1521, 1055, 2025, 1037, 8867, 6925, 7472, 2073, 2027, 2119, 2113, 2157, 2013, 1996, 2707, 2008, 2027, 1521, 2128, 2183, 2000, 2131, 2496, 1998, 2673, 2003, 18237, 2100, 10326, 2320, 2027, 2079, 1012, 1523, 10786, 2038, 2042, 5296, 1037, 3232, 1997, 2335, 1010, 4606, 2016, 2038, 2048, 2336, 1010, 2096, 2990, 2003, 9196, 1998, 2038, 1037, 2684, 1997, 2010, 2219, 1012, 1045, 2074, 2228, 2256, 4898, 3613, 2000, 2079, 1037, 2986, 3105, 1997, 5026, 2008, 4066, 1997, 4507, 2046, 1996, 8115, 2008, 2057, 1521, 2128, 6360, 2311, 2007, 2122, 2048, 3494, 1012, 2057, 2562, 3048, 2830, 2007, 2008, 2023, 2161, 1010, 2021, 2007, 2070, 14046, 1012, 1524, 1999, 1996, 17289, 1523, 16851, 1010, 1524, 2852, 1012, 9079, 20481, 2368, 8480, 1999, 21142, 2000, 2393, 12341, 4974, 2019, 2590, 2622, 4137, 2011, 1996, 1057, 1012, 1055, 1012, 2231, 2000, 3795, 10949, 1012, 2025, 10889, 1010, 2016, 7036, 2135, 2515, 2242, 2008, 27099, 1037, 3663, 2073, 1037, 2193, 1997, 21142, 1521, 1055, 3901, 2735, 2114, 2028, 2178, 1012, 2023, 2792, 1010, 2247, 2007, 2035, 1997, 2161, 1018, 1012, 1019, 1010, 2001, 6361, 1999, 2230, 1010, 1998, 2108, 2061, 2146, 3283, 1010, 1996, 4751, 1997, 2009, 2024, 3305, 8231, 1998, 3322, 18001, 2000, 11262, 1012, 1523, 2008, 2001, 1999, 2066, 4927, 2043, 1045, 2106, 2008, 2792, 1010, 1524, 2002, 13198, 1012, 1523, 3524, 1037, 3371, 1025, 1045, 3342, 1996, 2878, 5436, 2085, 1012, 2023, 2792, 2018, 2000, 2079, 2007, 1996, 18414, 3489, 8758, 1998, 2009, 2001, 2856, 2011, 1031, 21142, 3597, 1011, 3237, 3135, 1033, 4717, 12296, 1012, 2057, 2018, 1037, 3608, 7467, 2008, 2028, 1012, 4717, 2003, 2467, 4569, 2000, 5607, 2007, 2138, 2002, 2573, 3435, 1010, 4282, 2054, 2002, 4122, 1998, 2009, 1521, 1055, 2035, 2200, 6851, 1012, 1523, 2009, 2001, 1037, 8479, 3116, 27579, 2154, 2005, 1996, 2034, 2051, 1010, 1998, 2016, 1521, 1055, 2468, 2112, 1997, 1996, 2155, 2012, 2023, 2391, 1012, 2057, 2293, 2014, 2000, 2331, 1012, 1045, 5632, 3666, 2014, 2552, 2007, 1998, 2079, 2014, 17727, 12298, 9355, 2007, 6606, 3897, 7106, 1012, 2009, 1521, 1055, 3154, 2008, 9079, 1998, 23054, 2024, 2183, 2000, 2022, 2814, 1998, 2009, 2582, 5771, 2229, 2041, 2119, 2216, 3494, 1012, 1524, 2242, 6433, 2000, 10786, 1999, 1523, 16851, 1524, 2008, 2097, 5213, 2025, 2069, 7193, 2021, 2036, 2776, 5708, 1998, 1996, 2717, 1997, 21142, 1012, 1996, 6458, 4152, 2019, 10710, 2989, 2008, 2016, 2453, 2022, 6318, 2242, 1010, 12167, 4895, 2243, 19779, 15787, 1010, 1999, 1996, 2279, 2792, 1010, 1523, 12185, 1012, 1524, 1999, 2054, 2126, 2515, 2008, 4254, 1996, 3276, 2090, 1996, 2048, 1029, 1523, 2035, 1045, 2064, 2360, 2003, 2008, 2009, 14670, 2009, 6551, 1010, 1524, 18381, 2015, 11262, 1012, 1523, 2009, 1521, 1055, 2242, 2008, 16473, 2007, 10786, 1998, 2008, 2026, 2839, 3138, 3602, 1997, 1998, 3525, 11596, 1012, 1524, 2348, 2990, 1521, 1055, 2684, 11199, 1006, 5207, 7632, 15551, 1007, 2003, 2185, 2012, 2267, 1010, 10786, 2018, 1996, 4495, 2000, 2468, 2488, 19056, 2007, 2014, 2096, 2016, 2973, 2007, 2014, 3611, 1999, 21142, 1012, 2076, 2008, 2051, 1010, 5708, 2036, 2288, 2000, 2113, 10786, 1521, 1055, 2402, 2365, 4901, 1012, 2008, 3276, 2038, 4961, 1999, 9223, 3971, 1999, 1996, 6585, 17060, 1012, 11262, 2038, 2498, 2021, 2204, 2477, 2000, 2360, 2055, 8672, 4027, 1010, 1996, 2402, 3364, 2040, 3248, 4901, 1012, 1523, 2054, 2019, 11757, 10904, 4845, 1010, 1524, 27128, 1996, 3364, 1012, 1523, 8672, 2003, 1037, 10392, 8033, 1998, 7255, 2007, 1031, 1996, 2754, 2537, 1997, 1033, 1996, 7006, 2332, 2005, 1045, 2123, 1521, 1056, 2113, 2129, 2116, 2086, 1012, 2002, 1521, 1055, 2288, 1037, 6919, 4823, 2376, 1010, 2205, 1012, 8672, 2038, 1996, 26849, 1010, 2087, 2330, 2227, 2004, 2092, 2004, 1996, 2190, 6180, 1998, 2002, 1521, 1055, 2061, 3733, 2000, 2147, 2007, 1012, 2006, 2327, 1997, 2035, 2008, 1010, 8672, 2003, 13366, 7869, 19909, 2135, 2785, 2004, 2092, 2004, 26438, 1998, 2002, 1521, 1055, 2428, 2046, 1996, 2147, 1012, 2065, 1045, 2018, 1037, 4845, 1010, 2002, 1521, 1055, 2673, 2008, 1045, 1521, 1040, 2215, 2026, 4845, 2000, 2022, 1012, 1524, 1996, 3364, 2036, 6661, 2070, 3898, 1011, 2051, 1999, 2161, 1018, 1012, 1019, 2007, 1996, 2210, 3336, 1006, 2030, 10834, 1007, 2008, 2377, 10786, 1521, 1055, 2210, 2611, 1012, 11262, 3849, 3243, 2012, 7496, 2076, 2216, 5019, 1012, 1523, 1045, 2001, 2320, 1999, 1037, 3276, 2007, 1037, 2450, 2040, 2018, 1037, 2775, 1998, 1045, 2018, 1037, 2843, 1997, 4268, 2105, 2033, 2043, 1045, 2001, 3920, 1010, 2061, 2009, 1031, 8304, 1037, 3336, 1033, 3310, 2200, 8100, 2000, 2033, 1998, 1045, 2113, 2054, 2000, 2079, 1010, 1524, 2002, 2758, 1012, 1523, 2009, 1521, 1055, 1037, 4119, 1010, 2295, 1010, 2551, 2007, 1037, 3336, 2138, 2027, 2123, 1521, 1056, 3305, 1998, 2017, 2064, 1521, 1056, 5987, 2068, 2000, 1012, 2017, 2064, 1521, 1056, 3198, 2068, 2000, 2079, 2505, 2008, 2027, 2123, 1521, 1056, 2215, 2000, 2079, 1010, 4496, 2323, 2017, 1010, 1998, 2043, 2027, 2215, 2000, 2681, 1010, 1996, 2915, 2003, 2589, 1012, 2057, 1521, 2128, 3243, 19590, 2138, 1996, 10834, 2040, 2272, 2000, 2147, 2006, 2256, 2265, 2024, 8403, 1998, 2035, 2008, 1010, 2021, 2027, 1521, 2128, 1996, 3748, 11522, 1999, 2115, 2154, 2138, 2017, 2074, 2123, 1521, 1056, 2113, 2129, 2477, 2024, 2183, 2000, 2735, 2041, 1012, 1524, 2074, 3188, 2000, 3225, 2147, 2006, 2161, 1018, 1012, 1019, 1010, 1996, 21142, 3459, 1998, 3626, 6361, 1996, 2265, 1521, 1055, 2230, 4234, 1011, 11773, 2792, 1523, 1051, 2210, 2237, 1010, 1524, 2029, 4836, 2006, 25353, 12031, 2197, 2285, 1012, 1999, 2009, 1010, 1996, 1523, 4203, 6779, 1524, 2974, 2764, 2011, 2852, 1012, 3958, 6415, 27378, 1006, 4717, 10424, 7974, 2121, 1007, 2003, 17214, 4842, 2098, 2007, 1010, 8701, 2000, 22802, 1996, 2972, 2237, 2041, 1997, 4598, 1012, 1523, 3071, 2428, 5632, 2725, 2008, 2028, 1010, 1524, 17722, 11262, 1012, 1523, 1045, 2228, 1996, 4898, 2106, 2673, 2008, 2017, 2071, 2031, 2356, 2068, 2000, 2079, 2007, 2019, 2792, 2066, 2008, 1012, 2027, 6573, 2009, 2041, 1997, 3608, 14432, 1012, 2009, 2001, 2514, 1011, 2204, 1010, 2009, 2018, 1037, 4569, 4234, 6508, 1011, 21209, 2000, 2009, 1010, 1998, 1045, 2001, 2061, 7622, 2007, 2009, 1012, 2009, 1521, 1055, 5791, 2028, 1997, 2026, 20672, 2008, 2057, 2915, 2197, 2095, 1012, 1523, 2004, 2005, 2161, 1018, 1012, 1019, 1010, 1045, 2525, 3855, 2057, 2106, 2019, 2792, 2007, 4913, 17106, 1031, 1996, 4268, 1999, 1996, 2534, 1033, 1010, 1998, 4717, 10424, 7974, 2121, 2234, 2067, 2005, 2008, 2028, 1010, 2205, 1012, 1045, 2018, 1037, 3608, 2551, 2007, 2068, 1010, 1998, 4913, 2038, 2941, 2468, 1037, 2204, 2767, 1012, 2008, 2466, 2003, 2178, 12944, 2005, 2033, 1012, 7825, 13218, 1031, 2882, 6583, 12349, 27838, 2243, 1999, 2732, 10313, 1024, 2784, 2686, 3157, 1033, 2036, 2106, 2048, 4178, 1999, 2161, 1018, 1012, 1019, 2008, 2017, 1521, 2128, 2183, 2000, 2156, 1012, 2002, 3248, 1037, 3276, 8930, 2040, 3310, 2000, 21142, 2000, 17908, 2054, 1521, 1055, 2183, 2006, 2105, 2237, 1999, 2344, 2000, 2156, 2065, 2673, 2003, 2006, 1996, 2039, 1011, 1998, 1011, 2039, 1010, 2029, 2003, 2428, 6057, 1012, 18202, 13218, 2003, 2074, 6429, 1010, 1998, 2057, 4669, 2032, 2061, 2172, 2008, 2002, 1521, 1055, 2746, 2067, 2005, 2161, 2274, 1012, 1524, 2537, 2006, 2161, 1018, 1012, 1019, 1997, 21142, 13088, 29098, 2098, 1999, 2255, 2230, 1998, 2130, 2077, 2009, 2211, 10499, 2023, 3204, 2006, 25353, 12031, 1010, 1996, 8629, 2211, 5291, 2153, 2023, 2627, 2258, 2006, 1996, 3587, 2161, 1012, 2043, 2009, 3310, 2000, 11262, 1521, 1055, 2839, 1010, 7193, 2064, 2298, 2830, 2000, 3773, 2990, 5708, 2468, 2062, 6625, 2007, 2010, 21142, 11301, 2004, 2092, 2004, 2007, 2216, 2105, 2032, 1010, 2926, 10786, 1012, 1523, 1045, 2228, 2009, 2003, 2112, 1997, 1996, 2936, 14967, 2005, 2026, 2839, 1010, 1524, 18437, 2015 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1015, 1012, 4087, 2492, 1997, 1996, 11028, 1996, 2556, 11028, 14623, 2000, 1037, 4118, 2005, 8073, 4252, 1037, 4431, 2597, 2029, 2003, 1996, 2597, 1997, 1037, 5860, 1011, 2066, 4874, 1999, 1037, 4431, 2522, 1011, 2030, 18979, 2618, 2291, 2164, 1996, 2597, 1997, 1996, 8304, 5080, 2029, 2003, 3223, 2000, 2022, 3344, 2041, 2012, 12318, 1996, 5860, 1011, 2066, 4874, 2107, 2004, 1037, 20681, 11333, 7512, 1998, 1037, 5080, 21739, 1025, 14623, 2000, 2019, 6882, 19120, 4118, 2478, 1996, 4118, 1997, 12515, 1037, 2415, 2597, 1999, 1996, 4252, 1998, 1037, 5080, 21739, 1025, 14623, 2000, 1037, 4755, 4118, 2005, 8073, 6149, 2075, 1037, 4755, 2799, 16911, 1996, 19120, 1998, 1037, 5080, 21739, 1010, 1998, 2582, 1010, 14623, 2000, 2036, 2019, 6882, 20681, 5814, 3941, 16911, 2216, 5733, 1012, 1016, 1012, 3141, 2396, 2004, 3491, 1999, 20965, 1012, 1015, 1998, 20965, 1012, 1016, 1010, 1999, 2236, 1010, 1037, 20681, 5814, 3941, 1015, 7883, 11333, 24396, 2011, 1037, 4755, 8957, 1018, 2013, 13903, 2015, 1020, 1999, 2029, 20681, 11333, 24396, 1998, 1996, 2066, 2024, 8250, 2006, 15475, 2000, 7170, 5843, 8477, 1022, 2029, 2024, 1996, 4755, 8831, 1997, 2536, 7957, 1997, 3949, 8477, 1021, 1010, 2030, 2013, 1996, 7170, 5843, 8477, 1022, 2000, 1996, 3949, 8477, 1021, 1010, 2030, 2038, 1037, 4755, 5080, 1016, 1012, 2004, 3491, 1999, 20965, 1012, 1017, 1010, 1996, 4755, 8957, 1018, 2003, 6055, 2007, 1037, 4755, 2849, 2260, 2029, 2038, 1037, 3173, 4664, 2403, 2029, 19363, 2030, 8081, 2229, 11333, 24396, 1998, 1996, 2066, 1998, 2064, 2693, 2011, 5331, 1998, 21963, 1010, 9963, 1998, 16354, 1998, 6934, 1010, 1998, 1996, 15323, 1997, 7972, 19589, 1997, 1996, 4755, 8957, 1018, 2024, 4758, 2011, 1037, 2491, 4664, 2340, 1012, 1996, 2491, 4664, 2340, 24443, 25709, 2015, 1996, 7709, 1998, 2799, 1997, 4755, 1998, 1996, 2522, 1011, 2030, 18979, 2618, 2592, 1997, 4755, 4460, 1999, 1996, 4431, 2522, 1011, 2030, 18979, 2618, 2291, 4820, 1996, 2597, 2389, 2522, 1011, 2030, 18979, 2618, 1997, 1996, 4755, 8957, 1018, 1998, 18365, 2229, 4367, 2389, 4449, 2000, 1996, 7972, 19589, 1997, 1996, 4755, 8957, 1018, 2241, 2006, 2009, 1012, 8558, 1010, 1996, 4755, 8957, 1018, 2064, 8073, 4287, 1037, 5860, 1011, 2066, 4874, 2107, 2004, 1037, 11333, 7512, 2410, 2000, 1037, 4964, 4755, 2597, 1998, 1996, 2491, 4664, 2340, 2003, 3223, 2000, 6807, 1996, 2597, 2389, 2522, 1011, 2030, 18979, 4570, 1997, 1996, 18921, 1011, 3855, 2482, 6313, 5693, 1998, 11333, 24396, 1999, 1996, 2682, 1011, 3855, 4431, 2522, 1011, 2030, 18979, 2618, 2291, 4414, 1010, 2000, 2079, 2061, 1012, 20965, 1012, 2656, 3065, 1037, 4664, 1997, 1996, 4834, 3673, 1997, 1996, 4252, 3357, 2005, 12515, 1996, 2434, 2522, 1011, 2030, 18979, 2618, 2012, 1996, 2707, 1011, 2039, 1997, 1996, 20681, 5814, 3941, 1015, 1999, 1037, 7511, 4755, 5080, 1016, 2029, 2003, 3491, 1999, 20965, 1012, 2423, 1012, 1996, 1523, 4252, 1524, 2182, 2378, 2003, 1037, 2147, 2005, 12515, 1996, 4431, 2597, 2005, 12771, 1037, 11333, 7512, 2410, 2030, 1996, 2066, 2090, 1996, 4755, 8957, 1018, 1998, 1996, 13903, 2015, 1020, 1998, 1996, 7170, 5843, 8477, 1022, 1010, 2090, 1037, 19120, 5080, 2184, 2030, 1996, 2066, 2029, 2003, 10329, 3024, 1010, 2065, 4072, 1012, 2005, 2742, 1010, 2043, 1996, 4252, 2003, 3344, 2041, 2007, 4847, 2000, 1037, 3357, 1997, 4755, 1996, 5860, 1011, 2066, 4874, 2107, 2004, 1037, 11333, 7512, 2410, 2029, 2003, 8250, 1999, 1996, 13903, 2015, 1020, 2000, 1996, 7170, 5843, 4574, 1022, 1010, 15847, 1010, 1996, 5741, 2597, 2389, 2592, 1006, 3988, 3643, 1007, 1997, 1996, 4755, 8957, 1018, 2006, 2640, 2003, 7953, 3064, 1999, 1996, 2491, 4664, 2340, 2012, 1996, 3357, 1055, 2487, 1010, 2059, 1996, 12823, 4664, 2403, 1997, 1996, 4755, 8957, 1018, 2003, 2333, 2210, 2011, 2210, 1999, 1037, 6410, 3169, 2000, 1996, 6959, 2597, 2007, 1996, 13903, 1020, 2241, 2006, 1996, 2640, 5059, 2011, 1996, 3357, 1055, 2475, 1012, 2174, 1010, 1996, 5860, 1011, 2066, 4874, 3464, 2000, 2022, 5614, 2012, 1996, 3671, 2597, 1997, 15475, 1999, 1996, 13903, 2015, 1020, 1998, 3464, 1999, 1037, 4650, 1999, 2029, 2009, 2003, 2025, 4964, 2006, 1996, 12823, 4664, 2403, 1012, 2059, 1010, 2004, 3491, 1999, 20965, 1012, 1017, 1010, 1037, 5009, 10147, 2290, 2322, 2003, 5361, 2006, 1996, 3173, 4664, 2403, 2012, 1996, 3357, 1055, 2509, 1998, 2009, 2003, 17453, 4484, 3251, 1996, 15986, 2597, 1997, 1996, 5860, 1011, 2066, 4874, 2003, 6669, 18616, 2007, 1996, 3173, 2597, 2006, 2640, 5059, 2030, 2025, 1012, 2043, 2009, 2003, 14386, 4383, 1010, 1996, 4755, 8957, 2003, 2333, 2011, 9963, 1010, 5331, 1998, 21963, 1010, 1998, 16354, 1998, 6934, 1999, 6410, 3169, 2012, 1996, 3357, 1055, 2549, 1010, 1996, 2597, 1997, 1996, 3173, 4664, 2403, 2003, 13371, 2000, 1037, 5372, 2597, 1010, 1998, 24288, 1010, 1996, 2597, 2389, 2592, 4663, 1999, 1996, 3357, 1055, 2549, 2003, 11860, 2000, 1996, 2491, 4664, 2340, 2012, 1996, 3357, 1055, 2629, 2000, 20687, 1996, 3988, 2597, 2389, 2592, 1012, 2043, 2045, 2003, 2053, 24353, 1999, 1996, 13964, 2012, 1996, 3357, 1055, 2509, 1010, 1996, 5860, 1011, 2066, 4874, 6025, 2003, 3344, 2000, 1996, 6959, 2597, 2007, 1996, 7170, 5843, 8477, 1022, 2012, 1996, 3357, 1055, 2575, 1010, 1998, 2059, 2009, 2003, 17453, 4484, 2012, 1996, 3357, 1055, 2581, 3251, 1996, 4755, 2597, 1997, 1996, 5860, 1011, 2066, 4874, 2003, 2074, 2004, 1996, 2640, 5059, 2030, 2025, 1012, 2043, 2045, 2003, 24353, 1999, 2019, 5025, 4755, 2597, 1010, 1996, 2147, 5651, 2000, 1996, 3357, 1055, 2549, 1998, 10951, 2000, 1996, 3357, 1055, 2629, 1012, 2043, 2045, 2003, 2053, 24353, 1010, 1037, 2186, 1997, 1996, 4252, 2024, 12527, 1012, 6920, 1010, 1996, 4252, 2147, 1997, 1996, 4431, 2597, 2003, 3344, 2041, 2028, 2011, 2028, 1999, 10388, 2007, 1996, 8853, 2013, 1996, 3357, 1055, 2487, 2000, 1996, 3357, 1055, 2581, 2090, 1996, 19120, 5080, 2184, 1998, 1996, 7972, 7170, 5843, 8477, 1022, 2007, 4847, 2000, 1996, 4755, 8957, 1018, 1998, 2090, 1996, 7972, 7170, 5843, 8477, 1022, 1998, 2060, 8831, 2107, 2004, 3949, 8477, 1021, 2007, 4847, 2000, 1996, 11641, 8957, 2861, 1012, 2582, 1010, 1996, 19120, 1997, 1996, 5860, 1011, 2066, 4874, 1999, 7511, 5814, 4084, 2003, 3344, 2041, 2012, 2169, 2051, 2478, 1996, 19120, 5080, 1006, 16350, 3698, 1007, 2184, 2004, 3491, 1999, 20965, 1012, 2423, 1012, 1999, 1996, 4755, 5080, 1016, 2004, 3491, 1999, 20965, 1012, 2423, 1010, 2044, 1996, 11333, 7512, 2410, 2003, 5359, 2320, 2000, 1996, 5860, 25254, 19120, 5080, 2184, 2029, 2003, 3584, 2013, 1996, 4755, 8957, 1018, 1999, 2344, 2000, 4652, 2008, 1996, 25206, 1997, 1996, 11333, 7512, 2410, 2076, 4755, 2003, 28976, 2007, 1996, 13903, 2015, 1020, 1998, 1996, 11418, 2015, 1997, 7972, 15824, 2015, 1998, 11730, 1010, 1996, 4755, 8957, 1018, 8267, 1996, 11333, 7512, 2410, 2153, 1998, 2788, 7883, 2009, 2000, 2019, 4874, 2597, 1012, 2045, 2003, 3818, 1999, 16545, 1011, 1038, 1011, 1021, 1011, 25745, 22275, 1037, 4118, 2011, 2029, 1999, 2344, 2000, 5335, 15836, 2011, 1996, 2682, 1011, 3855, 6959, 3357, 1010, 1996, 4755, 2849, 1997, 1996, 4755, 8957, 2003, 2333, 2096, 3173, 1037, 11333, 7512, 1998, 5235, 1037, 4796, 2828, 19120, 5080, 2029, 2038, 11320, 11233, 11020, 10127, 8810, 1023, 2050, 1998, 2422, 4909, 8810, 1023, 2497, 4414, 1998, 1999, 2029, 2093, 13907, 1023, 2029, 11487, 1037, 11333, 7512, 2410, 2007, 2422, 19251, 2229, 1023, 2278, 2020, 3024, 2000, 18422, 1996, 2415, 2597, 1997, 1996, 11333, 7512, 1012, 1999, 1996, 4118, 1010, 1996, 4431, 3173, 2597, 1997, 1037, 11333, 7512, 2003, 3653, 17960, 3981, 11272, 4036, 1010, 1996, 2799, 1997, 1996, 3173, 4664, 2403, 2003, 13371, 2013, 1996, 6653, 11712, 2090, 1996, 4252, 2597, 1998, 1996, 2415, 2597, 1997, 1037, 11333, 7512, 2029, 2001, 11156, 2011, 1996, 18921, 1011, 3855, 4796, 2828, 19120, 5080, 1010, 1998, 1996, 11333, 7512, 2003, 3344, 2000, 2019, 7863, 2173, 2302, 24324, 2007, 2060, 6602, 1012, 8558, 1010, 1037, 2051, 3223, 2005, 1996, 6959, 1998, 7684, 2005, 1996, 19120, 5080, 2184, 2003, 12641, 1998, 1996, 2682, 1011, 3855, 4118, 5201, 2000, 1996, 7620, 1997, 15836, 1012, 3471, 2000, 2022, 13332, 2011, 1996, 11028, 2174, 1010, 2004, 3491, 1999, 1996, 4834, 3673, 1997, 20965, 1012, 2656, 1010, 1037, 7511, 4252, 2147, 2029, 2001, 3130, 2649, 2003, 2019, 2035, 6410, 2291, 2011, 2029, 3979, 1998, 7561, 2024, 5567, 2478, 1996, 5009, 10147, 2290, 2322, 2090, 2035, 5693, 2007, 2029, 1996, 4755, 8957, 1018, 17654, 2015, 1010, 2096, 10843, 17453, 19195, 1996, 2597, 1012, 2947, 1010, 2023, 3025, 4118, 3223, 3278, 6410, 8290, 1012, 2144, 2023, 5942, 27222, 6410, 2147, 2011, 1037, 10571, 16661, 1010, 1037, 2051, 1997, 2028, 2440, 2154, 2030, 2062, 2001, 4072, 2005, 2069, 1996, 4755, 5080, 3491, 1999, 20965, 1012, 2423, 1012, 2582, 1010, 2004, 3855, 2682, 1010, 1037, 4796, 2828, 19120, 5080, 2029, 2003, 2649, 1999, 16545, 1011, 1038, 1011, 1021, 1011, 17528, 2683, 22275, 1998, 3491, 1999, 20965, 1012, 2676, 2003, 3818, 2004, 1996, 19120, 1997, 1996, 5860, 1011, 2066, 4874, 1999, 2537, 1010, 2021, 2144, 2019, 3988, 4252, 3594, 2036, 1996, 18921, 1011, 3855, 7511, 4118, 2182, 4017, 1010, 4390, 3223, 2005, 1996, 2707, 1011, 2039, 1997, 3941, 2003, 2025, 2904, 2012, 2035, 1012, 7297, 1010, 2144, 2009, 2003, 1037, 5080, 4458, 1037, 4796, 1010, 2045, 2003, 1037, 3291, 2008, 2028, 5080, 2442, 2022, 2275, 2011, 2296, 15824, 1997, 7972, 7170, 5843, 8477, 1998, 7972, 3949, 8477, 1010, 1998, 2045, 2038, 2042, 1037, 3291, 2008, 2144, 1996, 5080, 2003, 1037, 3469, 5080, 2084, 1996, 6705, 1997, 1037, 5860, 1011, 2066, 11156, 4874, 2107, 2004, 1037, 11333, 7512, 1010, 5211, 3465, 2003, 11792, 1012, 2582, 1010, 2144, 2045, 2003, 2053, 19120, 3357, 2077, 19274, 2075, 1037, 5860, 1011, 2066, 4874, 2046, 1996, 18921, 1011, 3855, 4796, 2828, 19120, 5080, 1010, 2009, 2038, 2042, 3223, 2008, 1996, 6410, 19120, 2029, 2003, 13460, 8462, 2004, 2649, 2682, 2003, 3653, 17960, 3981, 11272, 3344, 2041, 2061, 2008, 1996, 5860, 1011, 2066, 4874, 2003, 2025, 17745, 2007, 1996, 5080, 1012, 2043, 2009, 2003, 17745, 2007, 1996, 5080, 2011, 2151, 3382, 1010, 2045, 2020, 3471, 2008, 6497, 2015, 2024, 7013, 2302, 8246, 1998, 2009, 6433, 2000, 4053, 1996, 5860, 1011, 2066, 11156, 4874, 1012, 2582, 1010, 1999, 1996, 2682, 1011, 3855, 19120, 5080, 2029, 2003, 2649, 1999, 16545, 1011, 1038, 1011, 1021, 1011, 17528, 2683, 22275, 1010, 1996, 13325, 4118, 1997, 1037, 18624, 2075, 4664, 2003, 14965, 3973, 7203, 1010, 2021, 1037, 4118, 1997, 8045, 2135, 13325, 2003, 2025, 2179, 2664, 1012, 11914, 1010, 2144, 1037, 4118, 1997, 20177, 1037, 5860, 2415, 2011, 1996, 6263, 1999, 6767, 7630, 3508, 2029, 2003, 2019, 20167, 4118, 2003, 4233, 1010, 2012, 2560, 1017, 1997, 13907, 1023, 2029, 2024, 10788, 2965, 2024, 3223, 1998, 2012, 2560, 1021, 2685, 1999, 2561, 1997, 2012, 2560, 1020, 2685, 2006, 1996, 15965, 11418, 1997, 1037, 5860, 1998, 2028, 2391, 1997, 1996, 2415, 1997, 1996, 5860, 3173, 4664, 2442, 2022, 7594, 1012, 2582, 1010, 2144, 1037, 2391, 2029, 6526, 2006, 1996, 15965, 11418, 1997, 1037, 18624, 2098, 4664, 1998, 2515, 2025, 4839, 2006, 1037, 25022, 11890, 2819, 25523, 2003, 4838, 1999, 1996, 1020, 2685, 2006, 1996, 15965, 11418, 2302, 8246, 1010, 2019, 8321, 2597, 2003, 2025, 9975, 10174, 1998, 11718, 2001, 2919, 1012, 2582, 1010, 2045, 2003, 3818, 1037, 17208, 8522, 1997, 12515, 1996, 12177, 1997, 1037, 5860, 2013, 1018, 2685, 2006, 1996, 15965, 11418, 2029, 2515, 2025, 2421, 1996, 18624, 2098, 4664, 2241, 2006, 2124, 1052, 22123, 3270, 20255, 11219, 9872, 1010, 2021, 2144, 1996, 2391, 2006, 1996, 18624, 2098, 4664, 3685, 2022, 12421, 1010, 1996, 8321, 12177, 1997, 1037, 5860, 2071, 2025, 2022, 2428, 4340, 1012, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 2011, 6384, 2509, 1012, 1017, 2934, 5271, 2050, 1010, 5262, 1010, 2003, 2000, 1037, 2440, 1011, 2051, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 1012, 2002, 2515, 2137, 18853, 2000, 1996, 25665, 4598, 1025, 2000, 2049, 2797, 3324, 1997, 9542, 1025, 1998, 2000, 1996, 2619, 1997, 2893, 2000, 1996, 4769, 1010, 16979, 2129, 10906, 1005, 2310, 2179, 2013, 1039, 9057, 2923, 2573, 2000, 1996, 3255, 1012, 2002, 2003, 2008, 1996, 15269, 2572, 2625, 2116, 2000, 5981, 5024, 4520, 2084, 9099, 23865, 2015, 12287, 3344, 1025, 2021, 2008, 2023, 19184, 2003, 2182, 2926, 2013, 2137, 2505, 2004, 2013, 3259, 1012, 2334, 2433, 2064, 3965, 2013, 1996, 2060, 1012, 2642, 3534, 2737, 9587, 20464, 11514, 2015, 8470, 14584, 2622, 3193, 21009, 2584, 1037, 4799, 8782, 1999, 2559, 5869, 5278, 3400, 10334, 1010, 1996, 16635, 3193, 1010, 10449, 16648, 1010, 3983, 20631, 1010, 2047, 11424, 6593, 11796, 3508, 5919, 1010, 2512, 1011, 5377, 26381, 1010, 1998, 2062, 1012, 2045, 2024, 3823, 1997, 3479, 8128, 1997, 1004, 23713, 2108, 1996, 19294, 19229, 1997, 9752, 2004, 3391, 1012, 2502, 6887, 27292, 2050, 6433, 2178, 10161, 2007, 2210, 4301, 2000, 1996, 16547, 1012, 1014, 1025, 2074, 10262, 1996, 19399, 2030, 4857, 4471, 27675, 1006, 2030, 2061, 11920, 2068, 1999, 11519, 1010, 2489, 16324, 1007, 1012, 1996, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5325, 2175, 11263, 2078, 4168, 2017, 1005, 2222, 5587, 2566, 3291, 2005, 2115, 7072, 2592, 1012, 1996, 7186, 1997, 12468, 2115, 2396, 2354, 2005, 2012, 2560, 1017, 2335, 1010, 2030, 2005, 2059, 2049, 2152, 4730, 2065, 2009, 7208, 7820, 2084, 1017, 6281, 1012, 1996, 16733, 1997, 3314, 2115, 3931, 15807, 2005, 2012, 2560, 2184, 3067, 15155, 1010, 2030, 2005, 3811, 2049, 2524, 2490, 2065, 2009, 2222, 7820, 2084, 2184, 8141, 1012, 1996, 3112, 1997, 2111, 2115, 2558, 2018, 2005, 2012, 2560, 2321, 6078, 1010, 2030, 2005, 5147, 2049, 4895, 1011, 2137, 3559, 2065, 2009, 2417, 7442, 16649, 7820, 2084, 2321, 5784, 1012, 3175, 5709, 17465, 23833, 2683, 16068, 2575, 1006, 3193, 2033, 7507, 15312, 2594, 11643, 1007, 1012, 1996, 3747, 1997, 29429, 1998, 5955, 22327, 2102, 1024, 2111, 1999, 6991, 1998, 5461, 1012, 3175, 5709, 17465, 22025, 28756, 2620, 2509, 1006, 22488, 1007, 1012, 1996, 12930, 1997, 2198, 7980, 1006, 2189, 1999, 1996, 9086, 2301, 1007, 1012, 2023, 10964, 9578, 2172, 3025, 2138, 1996, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 1999, 2157, 3473, 1996, 2783, 2004, 3354, 5606, 1012, 2045, 16844, 3550, 13485, 5167, 2008, 2363, 1999, 2023, 5746, 2008, 2001, 2446, 1012, 2339, 2003, 3477, 1999, 19960, 16518, 1998, 15827, 3374, 1029, 2129, 2064, 2027, 2709, 1996, 6105, 2894, 2302, 2338, 1999, 2139, 21572, 13113, 1029, 3175, 5709, 17465, 12740, 26224, 2683, 2487, 1006, 3193, 2033, 7507, 15312, 2594, 1007, 1012, 20022, 6392, 2072, 1996, 2176, 3692, 1998, 2060, 10405, 2015, 6728, 1012, 1022, 1006, 4729, 2189, 14812, 2015, 2186, 1007, 1010, 2703, 15160, 1012, 3175, 5709, 17465, 12740, 2575, 2683, 22907, 1006, 9867, 1007, 1012, 13177, 1024, 2514, 23564, 21436, 10258, 12184, 1006, 4729, 3850, 14812, 2015, 1007, 1010, 2848, 24905, 9363, 18552, 1012, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 1998, 21321, 1999, 14683, 2301, 2158, 26302, 2462, 1012, 3175, 5709, 17465, 22407, 16086, 22022, 1006, 2817, 1007, 1012, 12654, 1998, 2051, 1999, 14683, 1011, 2301, 2158, 26302, 5285, 1016, 1012, 3175, 5709, 17465, 21926, 27814, 2581, 2487, 1006, 4274, 1007, 1012, 3175, 5709, 17465, 21926, 2692, 26224, 2581, 1006, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 1007, 1012, 1056, 1024, 10861, 5134, 5868, 2006, 26561, 2015, 1006, 4729, 2913, 1999, 2189, 1007, 5285, 1016, 1012, 3175, 5709, 17465, 21486, 19841, 2692, 2475, 1006, 5450, 1007, 1012, 2111, 1998, 2808, 1997, 1996, 2394, 8028, 1012, 3175, 5709, 17465, 19317, 17914, 2575, 2683, 1006, 20990, 1007, 1012, 2703, 10380, 2854, 1998, 2189, 1024, 2568, 1997, 5461, 1997, 5512, 1999, 10380, 2854, 1005, 1055, 8278, 1012, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2000, 3696, 1996, 11626, 1012, 1996, 4923, 11138, 21268, 2042, 1012, 2023, 1005, 1055, 1037, 2715, 2082, 2005, 2035, 3653, 1011, 25882, 3171, 2493, 1012, 2065, 1996, 15269, 2424, 2295, 2060, 2000, 3443, 17855, 5024, 22889, 5243, 4371, 1999, 11972, 2023, 5525, 2003, 2068, 2012, 1037, 2446, 2373, 1012, 2016, 2020, 2047, 2259, 2103, 9897, 25249, 2015, 11265, 2000, 4553, 2007, 1996, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 2012, 3061, 2600, 1012, 2016, 5754, 17287, 3064, 2019, 3439, 10651, 1998, 18047, 2000, 1996, 3180, 2053, 25666, 2015, 16392, 3844, 2009, 2091, 1998, 7415, 2015, 2549, 29427, 6610, 1012, 13326, 29182, 3051, 1010, 1037, 3229, 1997, 2643, 1998, 2026, 1055, 5230, 2741, 5105, 2013, 2023, 2600, 6256, 1999, 1037, 2069, 6412, 20990, 1012, 1037, 23943, 1010, 2157, 2007, 2010, 2808, 1010, 2338, 1010, 2619, 1010, 2256, 2564, 1010, 1998, 8900, 1010, 10326, 2111, 1012, 2381, 12941, 1998, 2197, 2326, 1012, 1996, 21980, 1997, 2026, 10898, 1010, 3889, 6473, 1010, 5319, 2917, 2007, 2010, 4471, 9533, 1998, 2037, 1016, 11143, 1010, 2038, 2124, 4914, 2007, 2381, 2029, 2003, 2926, 11566, 2000, 26425, 1012, 4693, 2064, 2695, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 2005, 2009, 1012, 3931, 8704, 1996, 10476, 2102, 2974, 2008, 14730, 1010, 1998, 2009, 5320, 16487, 1012, 2027, 2815, 2000, 2326, 2009, 2157, 2104, 1996, 5448, 1012, 1996, 18168, 2040, 2020, 2033, 2055, 1996, 2381, 2056, 2025, 3107, 2055, 2009, 1010, 1998, 2211, 2125, 2007, 1996, 2530, 2466, 2058, 2009, 1010, 2000, 2010, 3044, 1011, 23201, 1011, 11867, 6826, 2290, 19422, 1011, 1054, 16523, 2015, 1010, 2021, 2025, 7679, 19817, 5575, 4502, 15841, 2070, 12163, 1997, 2693, 1998, 2003, 2036, 2284, 2011, 25850, 25060, 1012, 2000, 12200, 2049, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 2426, 2068, 3632, 2039, 2035, 2042, 1012, 1014, 1025, 1998, 1037, 2411, 2062, 2466, 2084, 2037, 3080, 2556, 1011, 2154, 17178, 2015, 1998, 4395, 1012, 2023, 4627, 2339, 1045, 2572, 1996, 2824, 2360, 4129, 2006, 1996, 3151, 3325, 1025, 1996, 13818, 2001, 1996, 4699, 2930, 2043, 2027, 2001, 4781, 2012, 2049, 15398, 4297, 25377, 12870, 5897, 1998, 3062, 21346, 2951, 1997, 5470, 9527, 1010, 3091, 1998, 11480, 3244, 1011, 2000, 1011, 3244, 1012, 2044, 1996, 3255, 1998, 3668, 7786, 1997, 4827, 4325, 2228, 2121, 1010, 2027, 2172, 2031, 2741, 1998, 2794, 2588, 1012, 2182, 1997, 2256, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 20062, 2006, 2129, 1010, 2065, 2012, 2035, 1010, 5682, 1998, 2781, 1997, 20868, 2024, 3209, 2000, 4503, 6040, 8927, 2004, 2027, 2024, 2023, 3531, 19960, 16518, 2189, 1012, 2017, 2064, 2969, 1011, 6709, 2256, 10341, 3038, 2256, 4440, 2951, 24923, 1012, 1996, 7303, 2373, 6140, 2003, 29245, 3993, 5491, 1024, 1005, 4353, 1025, 1005, 1012, 2115, 2155, 2003, 2920, 1037, 2060, 2030, 6259, 9698, 1012, 2065, 2017, 2024, 3193, 2033, 7507, 15312, 2594, 2051, 14492, 1010, 2023, 6256, 2003, 1037, 2449, 1012, 1018, 2578, 2734, 2023, 2919, 1012, 3378, 5309, 15222, 2015, 2301, 2003, 1037, 2442, 2424, 1010, 2065, 2017, 5382, 2000, 5630, 2019, 3919, 11562, 2012, 9808, 1060, 1012, 1045, 2031, 16883, 2098, 22042, 2009, 2024, 2682, 2005, 2702, 4262, 1010, 1998, 1045, 2904, 1037, 4722, 2592, 2013, 5378, 2023, 4730, 1012, 2409, 10968, 8749, 1998, 6097, 9808, 2595, 4638, 4125, 14600, 2092, 6931, 2007, 1996, 13445, 1997, 2293, 1998, 2088, 1997, 3967, 1998, 2186, 1012, 3193, 16602, 3554, 1998, 3331, 4436, 2800, 2004, 2372, 1010, 8438, 1998, 13361, 4784, 1010, 2047, 15523, 1998, 3226, 8840, 15472, 11149, 1010, 23560, 1998, 6043, 2005, 2174, 2055, 2151, 2168, 12653, 2017, 2024, 2000, 19242, 1012, 19294, 1997, 1996, 2493, 4225, 2145, 2490, 4968, 4383, 2006, 2023, 11897, 1012, 1996, 2053, 6559, 2015, 2491, 2005, 24471, 2140, 2029, 9120, 3160, 8041, 2006, 1996, 2773, 2005, 3188, 1010, 2065, 2017, 2031, 2151, 3232, 2029, 2017, 2031, 8849, 2115, 2838, 1010, 10086, 2149, 19242, 1012, 2065, 2017, 2031, 2328, 1996, 7233, 6649, 1010, 3443, 2175, 2009, 2005, 2111, 1012, 4684, 1997, 2029, 2003, 2529, 2000, 1042, 10054, 2102, 3876, 2011, 1037, 3201, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 1998, 3418, 2128, 2076, 1996, 3554, 5627, 25198, 3618, 8241, 2029, 2097, 4839, 2127, 16798, 2475, 2247, 2007, 2088, 2162, 2093, 2007, 3607, 1998, 17727, 15094, 17296, 2859, 1012, 2160, 1997, 4505, 2145, 2001, 1037, 2061, 5627, 4224, 2058, 7795, 1998, 1996, 4001, 2097, 2157, 3437, 2009, 1998, 2343, 13857, 16543, 8112, 2156, 2009, 1012, 2023, 5499, 7829, 2011, 3519, 2097, 4487, 25572, 2618, 2088, 2162, 2093, 2011, 2061, 1997, 2048, 5167, 1024, 1006, 1015, 1007, 17609, 1037, 7500, 2007, 3607, 1998, 2637, 1999, 1037, 2034, 3690, 2344, 2073, 3607, 2003, 3972, 13936, 2005, 1037, 2978, 20077, 3229, 8771, 2007, 19452, 2530, 3616, 2056, 2007, 2068, 2030, 1006, 1016, 1007, 5587, 1999, 2301, 2090, 3607, 1998, 4977, 1012, 2144, 4977, 2003, 1037, 6189, 1997, 10079, 1010, 1996, 2142, 2163, 2247, 2007, 1996, 2177, 1998, 2755, 1997, 10079, 2097, 2963, 2000, 2191, 2000, 1996, 12896, 3430, 1012, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 1997, 13611, 2082, 1012, 2648, 2163, 2558, 1007, 1005, 1012, 1996, 2523, 1997, 7879, 16570, 4383, 2554, 5089, 1006, 2384, 1007, 1012, 4420, 2083, 1996, 6097, 2015, 1025, 7570, 28228, 14561, 2028, 1024, 3537, 1012, 2426, 2530, 2808, 1045, 2215, 2026, 3193, 2007, 2014, 2001, 2770, 2000, 12764, 2014, 1006, 2004, 4321, 2097, 3046, 2007, 4491, 2043, 2027, 10580, 1999, 2529, 25206, 2007, 8775, 2648, 2037, 7859, 1007, 1998, 2016, 2001, 2000, 19242, 1012, 1045, 2056, 4520, 4013, 4305, 11411, 27191, 2004, 2009, 14021, 26763, 2070, 1997, 2026, 2556, 1011, 2154, 17522, 1011, 3451, 2171, 1012, 4410, 3238, 2804, 1999, 2035, 2493, 2003, 1050, 1005, 1056, 2747, 2013, 1996, 8244, 1997, 1996, 2510, 1011, 2966, 11903, 1012, 2166, 1999, 4526, 2046, 1996, 3160, 1997, 8680, 20089, 1006, 8680, 5397, 7088, 6491, 1007, 1012, 2009, 6563, 1996, 3816, 5227, 1999, 1996, 3418, 2088, 2077, 2381, 1006, 2029, 3653, 6895, 23270, 4383, 1999, 10660, 20990, 1010, 2444, 2000, 2022, 2008, 1007, 1012, 2934, 5271, 2050, 1010, 2842, 1010, 5218, 2000, 1037, 13420, 1011, 2241, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 1012, 2002, 2003, 3060, 4790, 2000, 1996, 9686, 29112, 2592, 1025, 2000, 2049, 2887, 2951, 1997, 2607, 1025, 1998, 2000, 1996, 2505, 1997, 2128, 12614, 2000, 1996, 2547, 1010, 2893, 2129, 9849, 2514, 2405, 2013, 1039, 9057, 2923, 4283, 2000, 1996, 6014, 1012, 2002, 3464, 2008, 1996, 15269, 2024, 2625, 20248, 18155, 26116, 2000, 2468, 3171, 2086, 2084, 1005, 1055, 7216, 2098, 2241, 1025, 2021, 2008, 2023, 2155, 3640, 2004, 5262, 2013, 27427, 2483, 11837, 19150, 20151, 2791, 2004, 2013, 3168, 1012, 1996, 12009, 2038, 3728, 23575, 1012, 2115, 5792, 2020, 1037, 3325, 2008, 2023, 26419, 2071, 2085, 19242, 1012, 3531, 7461, 2115, 2785, 2571, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 1012, 3531, 2156, 2008, 2017, 1005, 2310, 1996, 9293, 1997, 7064, 1012, 2017, 2064, 2061, 4817, 2115, 13864, 2196, 1998, 2101, 3930, 1998, 8980, 2068, 2196, 1999, 1005, 2026, 4011, 7705, 2015, 1005, 1012, 3531, 3828, 1037, 2597, 1010, 2434, 1997, 2871, 9736, 1012, 2065, 1996, 15269, 2024, 5362, 2779, 2000, 3193, 2310, 6827, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 1999, 4646, 2023, 2320, 3138, 2068, 2012, 1037, 3834, 3836, 1012, 1996, 3191, 18245, 1010, 2074, 1010, 2003, 2008, 1996, 15269, 2572, 16021, 29150, 2135, 2034, 2000, 4604, 4722, 24209, 11475, 23096, 2015, 1999, 2338, 1011, 2023, 1010, 2680, 1010, 4766, 2038, 7172, 2011, 11946, 2055, 13125, 14944, 4480, 2011, 9990, 2157, 4871, 2408, 2068, 1012, 2934, 5271, 2050, 1010, 2200, 1010, 2003, 2000, 1037, 2166, 1011, 2946, 3204, 1012, 2002, 14730, 2402, 3596, 2000, 1996, 2168, 3400, 1025, 2000, 2049, 5024, 16324, 1997, 2671, 1025, 1998, 2000, 1996, 4676, 1997, 14622, 2000, 1996, 4824, 1010, 2375, 1011, 27818, 2129, 16324, 9015, 4968, 4383, 2013, 1039, 9057, 2923, 15295, 2000, 1996, 20394, 1012, 2115, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 4730, 2097, 2369, 4839, 11013, 1012, 5266, 2358, 11657, 24063, 2015, 1010, 5784, 1010, 15183, 1998, 2062, 1010, 2330, 1011, 3092, 8875, 1998, 15768, 2903, 24114, 3697, 1012, 2043, 2009, 2003, 2000, 3945, 1010, 2055, 1010, 2200, 1997, 2068, 3713, 5625, 1999, 3484, 1012, 22940, 1998, 6351, 1010, 1996, 3430, 6002, 1010, 2031, 16058, 27129, 1010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 20704, 2099, 4730, 2007, 12098, 8566, 5740, 2517, 2011, 5125, 3158, 3769, 11880, 2368, 1996, 12098, 8566, 5740, 28991, 1996, 28991, 2003, 1037, 2200, 3722, 2604, 1010, 7687, 2074, 2019, 20704, 2099, 11338, 2226, 2007, 2019, 3027, 4305, 9090, 2005, 20888, 2058, 18833, 1012, 2006, 1996, 2327, 2187, 1997, 1996, 8040, 28433, 4588, 2003, 1996, 9231, 5833, 1997, 1996, 2604, 1010, 1998, 1999, 1996, 2803, 2003, 1996, 9231, 5833, 1997, 1996, 20704, 2099, 9090, 1006, 2019, 27218, 29107, 16703, 2620, 2030, 27218, 29107, 16703, 2620, 2361, 1007, 1012, 2017, 2064, 3582, 1996, 16300, 2000, 2536, 6177, 1010, 1998, 1013, 2030, 3495, 2000, 1996, 16300, 1997, 1996, 2604, 2993, 1012, 2005, 2742, 1010, 1996, 1040, 2692, 1013, 19067, 1998, 1040, 2487, 1013, 1054, 2595, 16300, 2006, 1996, 2604, 2024, 4198, 2000, 1996, 22851, 2692, 1998, 22851, 2487, 16300, 1997, 1996, 20704, 2099, 1010, 2029, 2024, 1996, 25423, 5339, 19067, 1998, 1054, 2595, 16300, 1012, 1996, 8040, 28433, 4588, 2003, 16801, 2012, 2034, 2021, 4152, 16325, 2320, 2017, 2156, 2008, 2296, 3830, 2003, 4310, 1010, 1998, 5973, 1037, 3830, 3544, 3674, 2335, 2965, 2027, 2024, 4198, 2012, 2216, 2685, 2306, 1996, 2604, 1012, 2061, 1010, 1999, 1996, 2553, 1997, 1996, 1040, 2692, 1998, 1040, 2487, 16300, 1010, 2027, 2024, 4198, 2000, 1996, 20704, 2099, 3495, 2077, 1996, 1015, 2243, 9507, 5668, 1054, 2361, 2487, 2497, 1998, 1054, 2361, 2487, 2278, 1010, 2029, 2024, 1999, 2735, 4198, 2000, 1996, 19067, 2094, 1998, 1054, 2595, 2094, 16300, 1997, 1996, 3027, 21926, 2475, 12190, 1006, 3081, 1996, 1054, 2595, 1998, 19067, 10873, 1010, 4414, 1007, 1012, 1996, 3027, 21926, 2475, 12190, 9090, 2003, 1037, 18833, 6658, 2000, 25423, 5339, 10463, 2121, 2008, 8539, 2000, 1996, 7163, 1011, 18833, 19400, 1006, 18251, 18833, 1011, 7163, 1011, 1038, 1003, 1039, 1007, 1012, 1996, 2006, 1011, 2604, 10004, 21618, 25423, 2581, 2620, 2213, 2692, 2629, 13385, 1021, 1516, 2423, 1058, 2004, 7953, 3081, 19354, 1010, 1998, 27852, 1037, 12222, 1019, 1058, 2039, 2000, 3156, 5003, 1012, 14084, 1010, 18833, 2064, 2373, 1996, 2604, 3495, 1012, 1996, 6177, 2947, 2224, 1037, 1019, 1058, 7961, 2504, 2000, 10639, 12441, 7755, 1012, 1037, 12441, 4742, 2003, 1037, 2433, 1997, 25502, 1006, 1996, 4145, 1997, 17181, 2951, 2306, 1037, 4742, 1010, 1999, 2023, 2553, 5992, 1007, 2478, 10004, 2504, 2000, 5646, 1037, 2152, 3643, 2030, 1037, 2659, 3643, 1012, 1996, 1520, 1520, 7961, 2504, 1521, 1521, 16463, 1996, 5025, 10004, 2015, 2109, 1010, 1999, 2256, 2553, 1019, 1058, 2005, 2152, 1998, 1014, 1058, 2005, 2659, 1012, 3251, 2152, 2003, 2641, 1037, 11177, 1015, 1006, 3161, 1011, 2152, 1007, 2030, 1037, 11177, 1014, 1006, 3161, 1011, 2659, 1007, 2003, 7790, 2006, 1996, 9231, 9563, 1012, 2043, 1037, 9231, 2003, 26928, 2000, 2022, 3161, 1011, 2659, 1010, 2009, 2003, 2788, 18251, 2007, 1037, 3347, 2058, 2009, 1006, 2004, 1999, 25141, 1007, 2030, 10439, 21945, 2007, 1037, 1001, 1010, 2021, 2060, 12472, 2024, 2036, 2109, 1012, 2054, 2017, 2064, 2425, 2013, 1996, 8040, 28433, 4588, 2003, 2008, 1996, 25423, 5339, 16300, 1997, 1996, 20704, 2099, 2024, 3495, 4198, 2000, 1996, 16300, 1997, 1996, 2604, 1010, 2021, 2036, 4198, 2000, 1996, 3027, 21926, 2475, 2099, 1012, 2017, 2064, 2036, 2425, 2008, 1996, 3027, 21926, 2475, 2099, 2003, 2069, 4198, 2000, 1996, 20704, 2099, 2478, 2122, 1016, 16300, 1010, 3458, 1037, 2261, 2373, 1998, 25141, 16300, 1012, 2061, 2065, 1996, 3274, 1006, 3081, 18833, 1007, 2003, 2069, 2583, 2000, 10639, 2007, 1996, 3027, 21926, 2475, 2099, 1010, 2059, 4415, 2115, 2069, 4118, 1997, 20888, 2007, 1996, 20704, 2099, 2003, 3081, 1996, 25423, 5339, 1012, 2057, 2097, 2298, 2012, 2129, 2000, 2224, 1996, 25423, 5339, 1999, 1037, 2101, 2930, 1012, 2478, 1996, 27004, 6994, 24925, 2078, 2057, 2064, 2224, 1043, 9468, 1998, 27004, 8026, 21823, 4877, 2000, 2565, 1996, 20704, 2099, 1012, 2005, 2087, 3001, 1010, 2017, 2097, 2342, 2000, 16500, 1037, 3584, 6013, 1997, 1043, 9468, 1998, 8026, 21823, 4877, 2328, 2000, 4539, 20704, 2099, 1012, 1996, 6994, 24925, 2078, 14184, 2024, 24959, 2478, 1996, 17576, 20704, 2099, 1011, 1025, 2035, 1996, 2168, 9245, 1998, 2838, 2024, 2800, 1012, 2044, 2892, 1011, 21953, 1037, 2565, 2005, 20704, 2099, 1010, 1996, 4525, 12441, 3791, 2000, 2022, 2517, 2000, 1996, 5956, 1998, 1013, 2030, 25212, 21572, 2213, 2478, 1037, 1520, 1520, 20273, 1521, 1521, 1012, 1996, 20273, 5942, 1037, 3558, 4434, 2000, 1996, 20704, 2099, 1010, 1998, 3594, 2019, 9896, 9675, 1999, 1996, 2951, 4095, 15558, 1006, 3127, 2654, 1007, 2000, 4339, 1996, 2979, 2565, 2000, 1996, 9090, 1012, 1996, 5156, 6994, 2005, 6970, 7011, 6129, 2007, 1996, 20273, 2003, 20704, 4103, 12672, 1012, 2057, 2097, 2022, 2478, 1037, 20273, 2170, 12098, 8566, 5740, 1010, 2029, 2003, 2428, 2074, 1996, 12098, 8566, 5740, 9573, 11066, 2121, 3653, 1011, 8209, 1999, 1996, 20704, 2099, 1521, 1055, 3638, 1012, 1996, 9573, 11066, 2121, 9631, 1996, 12441, 3081, 1996, 25423, 5339, 1998, 7009, 2000, 1996, 4646, 3638, 2686, 1012, 1996, 4957, 2121, 7137, 17163, 1011, 4289, 3064, 8026, 12086, 2011, 12398, 1010, 2021, 2023, 20273, 2987, 1521, 1056, 5138, 2216, 1012, 2612, 1010, 2057, 2224, 13420, 2002, 2595, 4289, 8026, 12086, 1024, 20704, 2099, 1011, 1043, 9468, 1011, 3461, 10841, 1027, 27218, 29107, 16703, 2620, 2361, 1011, 1059, 2140, 1010, 1011, 1011, 1997, 2953, 18900, 1027, 1045, 5369, 2595, 1011, 1051, 2565, 1012, 2002, 2595, 2565, 1012, 1039, 2059, 2057, 2425, 20704, 4103, 12672, 2000, 2039, 11066, 1996, 12441, 1024, 20704, 4103, 12672, 1011, 1052, 27218, 29107, 16703, 2620, 2361, 1011, 1039, 12098, 8566, 5740, 1011, 1052, 1013, 16475, 1013, 23746, 10513, 19022, 2692, 1011, 1038, 5401, 16086, 2692, 1011, 1040, 1011, 1057, 5956, 1024, 1059, 1024, 2565, 1012, 2002, 2595, 1024, 1045, 2129, 2079, 2057, 2113, 1996, 8670, 6784, 3446, 2323, 2022, 5401, 16086, 2692, 1029, 2092, 1010, 20704, 4103, 12672, 2003, 20888, 3495, 2007, 1996, 9573, 11066, 2121, 1010, 2061, 2035, 2057, 2031, 2000, 2079, 2003, 2298, 2012, 1996, 9573, 11066, 2121, 3642, 1012, 1996, 12702, 8663, 13181, 10820, 2061, 2521, 2023, 2987, 1521, 1056, 2298, 2205, 3097, 1012, 1996, 5966, 2265, 2039, 2043, 2057, 3046, 2000, 2941, 4339, 1037, 2565, 2005, 1996, 20704, 2099, 1012, 2019, 11338, 2226, 2515, 2025, 2031, 1996, 2168, 2838, 2004, 1037, 12702, 21572, 9623, 21748, 1012, 2045, 2003, 2053, 16293, 1013, 5310, 5549, 7835, 1010, 2061, 1996, 5156, 10061, 2098, 4972, 2000, 3229, 4082, 2291, 2578, 2079, 2025, 4839, 1010, 2004, 2045, 2003, 2053, 4082, 2291, 2000, 3713, 1997, 1012, 2045, 2003, 2069, 2028, 2832, 1010, 3972, 3170, 4383, 2011, 1996, 2364, 1006, 1007, 3853, 1010, 2004, 2832, 3653, 6633, 16790, 5942, 1037, 4800, 10230, 6834, 4082, 2291, 1006, 3227, 19601, 2011, 7484, 3638, 1010, 2029, 11338, 2271, 2079, 2025, 2031, 1007, 1012, 2004, 2107, 1010, 2115, 2565, 2442, 2079, 2035, 8051, 3988, 3989, 12045, 1012, 14599, 1010, 11338, 2271, 2024, 3722, 2438, 2008, 2023, 2003, 1037, 9608, 4708, 1012, 2057, 2064, 2224, 20704, 2099, 1011, 5622, 9818, 2000, 3073, 3937, 26632, 2015, 1998, 4972, 1012, 1996, 2622, 4740, 2000, 23150, 1996, 1039, 3115, 3075, 1010, 2007, 1996, 22718, 2008, 2045, 2003, 2053, 4082, 2291, 2005, 8051, 24504, 1012, 1996, 20346, 5371, 1026, 20704, 2099, 1013, 22834, 1012, 1044, 1028, 6067, 26632, 2015, 2005, 1996, 18687, 1997, 2087, 2800, 11772, 1010, 1998, 1026, 20704, 2099, 1013, 17938, 1012, 1044, 1028, 6067, 26632, 2015, 2005, 17938, 19019, 1998, 3988, 3989, 23964, 1012, 2182, 2003, 1996, 20704, 2099, 9231, 5833, 2013, 1996, 2951, 4095, 15558, 1010, 2029, 2017, 2064, 2892, 1011, 4431, 2007, 1996, 12098, 8566, 5740, 8040, 28433, 4588, 1024, 1996, 9090, 2003, 26928, 2004, 2383, 1017, 1520, 1520, 8831, 1521, 1521, 1024, 3417, 1038, 1006, 7978, 2000, 1052, 24700, 16300, 1007, 1010, 3417, 1039, 1006, 7473, 2078, 1007, 1010, 1998, 3417, 1040, 1006, 22851, 2078, 1007, 1012, 1996, 2801, 2003, 2008, 2169, 3417, 2038, 1022, 16300, 1006, 3272, 3417, 1039, 1010, 3191, 9231, 13271, 1999, 2930, 1015, 1012, 1015, 1007, 2005, 5903, 4807, 1997, 27507, 2043, 26928, 2005, 3180, 3617, 1045, 1013, 1051, 1006, 1996, 12398, 1007, 1012, 2306, 2169, 3417, 1010, 2169, 9231, 2036, 2038, 14084, 9530, 8873, 27390, 3085, 4972, 1010, 2029, 17254, 2000, 1996, 6687, 15689, 3550, 10873, 1012, 2061, 1996, 25423, 5339, 16300, 1010, 1054, 2595, 2094, 1998, 19067, 2094, 1010, 2024, 4522, 4972, 1997, 1996, 3417, 1040, 16300, 1014, 1998, 1015, 1012, 2060, 4522, 4972, 2421, 5119, 20407, 1006, 1060, 9080, 2078, 1010, 25309, 2015, 1013, 24094, 1998, 1052, 2860, 2213, 1055, 1006, 1051, 2278, 26807, 1007, 1010, 6327, 17938, 2015, 1006, 7473, 18447, 2078, 1007, 1010, 7642, 16744, 2066, 11867, 2072, 1006, 8040, 2243, 1010, 28616, 2080, 1010, 9587, 5332, 1010, 7020, 1007, 1998, 1045, 2475, 2278, 1010, 4748, 2278, 1055, 1006, 4748, 2278, 2078, 1007, 1010, 1998, 2062, 1012, 2043, 1996, 11338, 2226, 4269, 2565, 7781, 1010, 2053, 4522, 9231, 4972, 2024, 3988, 3550, 1012, 1996, 2069, 6453, 2003, 7473, 2575, 1010, 2029, 2003, 16984, 2007, 1037, 19976, 2978, 2000, 9530, 8873, 27390, 2063, 25141, 15380, 1012, 2035, 2060, 3417, 16300, 2024, 2275, 2004, 13012, 1011, 3090, 20407, 1006, 2152, 1011, 17727, 29605, 1010, 1045, 1012, 1041, 1012, 2180, 1521, 1056, 3120, 2030, 7752, 2783, 1007, 1010, 1998, 17938, 2015, 2024, 9776, 1012, 1996, 2565, 2442, 2059, 9530, 8873, 27390, 2063, 2129, 2169, 9231, 2323, 2022, 2109, 1012, 1037, 3722, 2565, 2071, 2022, 2000, 2275, 3417, 1038, 2004, 2019, 6434, 1010, 1998, 4297, 28578, 4765, 1996, 3643, 7953, 2006, 3417, 1040, 1024, 1001, 2421, 1026, 20704, 2099, 1013, 22834, 1012, 1044, 1028, 20014, 2364, 1006, 11675, 1007, 1063, 20315, 15185, 1027, 1014, 2595, 4246, 1025, 2096, 1006, 1015, 1007, 3417, 2497, 1027, 1015, 1009, 9231, 2094, 1025, 2709, 1014, 1025, 1065, 1996, 20315, 2099, 2595, 18687, 5646, 3251, 2169, 9231, 1997, 1996, 7978, 3417, 2003, 2019, 6434, 2030, 2019, 7953, 1012, 4292, 1996, 4236, 2000, 1014, 2595, 4246, 9530, 8873, 27390, 2229, 2035, 3417, 1038, 16300, 2004, 27852, 1012, 2000, 20648, 2069, 3056, 16300, 1010, 2057, 2224, 1996, 26632, 1035, 1038, 2615, 1010, 2029, 2003, 5662, 2000, 1006, 1015, 1026, 1026, 1052, 2595, 2078, 1007, 1024, 20315, 15185, 1064, 1027, 1035, 1038, 2615, 1006, 1052, 2497, 2692, 1007, 1025, 1013, 1013, 2000, 2275, 1052, 2497, 2692, 2004, 2019, 6434, 20315, 15185, 1004, 1027, 1066, 1035, 1038, 2615, 1006, 1052, 2497, 2692, 1007, 1025, 1013, 1013, 2000, 2275, 1052, 2497, 2692, 2004, 2019, 7953, 1996, 3417, 2595, 18687, 2024, 4339, 3085, 1045, 1013, 1051, 3638, 11596, 2000, 2000, 24679, 27852, 2006, 1996, 7972, 3417, 1012, 1996, 9231, 2595, 18687, 2024, 3191, 3085, 11596, 2005, 11847, 20407, 1012, 20704, 2099, 1011, 5622, 9818, 17382, 1996, 3563, 11596, 2306, 2122, 26632, 15182, 2005, 2169, 9090, 2011, 2164, 9090, 1011, 3563, 20346, 6764, 1999, 1996, 1026, 20704, 2099, 1013, 22834, 1012, 1044, 1028, 20346, 1010, 7237, 2011, 1996, 1011, 3461, 10841, 21624, 5210, 1012, 2057, 2224, 2019, 10709, 7077, 2061, 2008, 2057, 2024, 10843, 16227, 1996, 7953, 2012, 3417, 1040, 1012, 14084, 1010, 2057, 2071, 2275, 3417, 2497, 2320, 1010, 1998, 2059, 2404, 1996, 11338, 2226, 2000, 3637, 2000, 25635, 1996, 3643, 4340, 2012, 2565, 2707, 1012, 1996, 25423, 5339, 1037, 25423, 5339, 2003, 1037, 3722, 5080, 2005, 7642, 4807, 1012, 7642, 2965, 2951, 2003, 2741, 1999, 5537, 2058, 1996, 2168, 7318, 1010, 2004, 4941, 2000, 2383, 1010, 2360, 1010, 1022, 14666, 19818, 1037, 24880, 2035, 2012, 2320, 1006, 2170, 5903, 4807, 1007, 1012, 2043, 2048, 25423, 21217, 2024, 4198, 2005, 4807, 1010, 1996, 19818, 9231, 19067, 1997, 2028, 2003, 17502, 2000, 1996, 4374, 9231, 1054, 2595, 1997, 1996, 2060, 1010, 1998, 3580, 18601, 1012, 2119, 1996, 20704, 2099, 1998, 1996, 3027, 21926, 2475, 2099, 2024, 2440, 1011, 4241, 19386, 1010, 3574, 2027, 2064, 19818, 1998, 4374, 7453, 1010, 2302, 2383, 2000, 2202, 4332, 1006, 2431, 1011, 4241, 19386, 1007, 1012, 2006, 1996, 3677, 1006, 3274, 1007, 2217, 1010, 1996, 3027, 21926, 2475, 2099, 4062, 14451, 2015, 1996, 4807, 2004, 1037, 23746, 2100, 8278, 1010, 2029, 4490, 2066, 1037, 8667, 2000, 1996, 3027, 21926, 2475, 2099, 1012, 2061, 2065, 2017, 4339, 1037, 2839, 2000, 1996, 23746, 2100, 1006, 3227, 2097, 2022, 1013, 16475, 1013, 23746, 10513, 19022, 2692, 1007, 1010, 1037, 2951, 4853, 4820, 2008, 2839, 2097, 3769, 2041, 2012, 1996, 19067, 2094, 9231, 1997, 1996, 3027, 21926, 2475, 2099, 1010, 2029, 2003, 2059, 4198, 2000, 1996, 1054, 2595, 2094, 9231, 1997, 1996, 20704, 2099, 1012, 18868, 1010, 2065, 2017, 2565, 1996, 20704, 2099, 2000, 19818, 1037, 2839, 1010, 2009, 2097, 4604, 1037, 2951, 4853, 2013, 2049, 19067 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1021, 5408, 2003, 2085, 5604, 2878, 28115, 7975, 1999, 2070, 5324, 1010, 6183, 2046, 3151, 13025, 5324, 3700, 1012, 11333, 4213, 11333, 4213, 1521, 1055, 2003, 4855, 7708, 6178, 14289, 14693, 3630, 1010, 2119, 9587, 7507, 1998, 19443, 14894, 2098, 2247, 2007, 16876, 1011, 15212, 1010, 24792, 5744, 3111, 6183, 1999, 2000, 4825, 1998, 4157, 18111, 3700, 1012, 24547, 28637, 3619, 2003, 2085, 4855, 4840, 5909, 1010, 6763, 1998, 5604, 2184, 2047, 4840, 4810, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 2833, 5167, 2023, 2991, 1012, 1045, 2071, 2175, 2006, 1998, 2006, 1010, 2017, 2131, 1996, 3861, 1012, 10390, 2024, 8790, 2025, 10763, 1010, 2076, 2122, 9662, 3171, 2335, 1996, 7325, 2003, 2025, 3228, 2039, 2006, 14894, 1010, 14902, 1010, 2833, 4031, 16227, 1012, 2054, 2027, 2024, 2725, 2003, 13648, 4495, 2306, 3151, 20859, 1997, 4353, 2007, 2047, 2833, 14793, 1010, 2047, 2833, 4031, 11073, 1010, 2047, 2833, 4664, 2075, 1998, 6975, 20874, 2035, 4352, 1996, 7325, 2000, 5454, 2096, 21934, 28250, 2075, 2037, 3268, 1012, 2053, 4753, 1997, 1996, 7027, 2833, 3068, 2064, 2717, 2006, 2054, 2027, 2031, 2589, 1012, 8027, 4435, 3860, 2964, 9887, 3432, 2024, 25963, 1998, 2097, 2025, 2147, 2023, 2051, 2105, 1012, 2009, 2025, 2055, 27788, 26703, 2115, 4435, 1012, 2009, 2003, 3432, 20607, 2115, 4435, 2007, 1996, 7325, 1012, 3112, 2515, 2681, 15774, 1998, 2206, 1996, 7325, 2003, 9789, 2193, 2028, 1012, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 10552, 2306, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 6928, 1010, 2257, 2382, 1010, 2230, 1037, 5695, 9667, 2320, 2056, 1024, 1523, 2166, 2064, 2022, 5319, 2011, 2559, 8848, 1010, 2021, 2442, 2022, 2973, 2011, 2559, 2830, 1012, 1524, 2009, 1521, 1055, 3154, 2008, 2193, 24514, 2075, 6115, 2040, 2320, 2052, 4965, 1013, 15697, 1999, 1037, 4677, 4825, 2005, 2048, 2030, 2093, 2086, 1010, 4636, 3176, 2047, 5324, 2059, 5271, 2052, 2128, 9331, 2312, 5651, 1012, 2013, 1996, 2397, 3963, 1521, 1055, 3770, 1521, 1055, 1998, 2092, 2046, 1996, 2901, 1521, 1055, 2009, 2790, 1037, 3793, 2338, 5675, 2005, 3112, 1012, 3316, 1996, 2007, 1996, 6335, 2243, 1997, 1024, 9348, 2968, 1010, 28477, 3007, 1010, 2521, 8095, 2239, 3007, 2968, 11775, 1012, 9464, 22625, 9583, 1010, 2803, 5826, 2968, 11775, 1998, 3103, 3007, 1045, 2071, 2175, 2006, 1998, 2006, 1012, 2018, 3112, 1010, 2070, 1037, 2261, 1045, 2453, 5587, 2145, 2079, 1012, 8209, 2007, 15038, 1521, 1055, 2013, 7563, 2028, 2816, 1010, 9387, 2020, 14834, 2039, 2000, 2593, 3693, 2030, 2707, 2037, 2219, 4825, 17834, 4636, 1012, 24514, 2075, 1996, 3616, 1998, 4208, 2006, 6515, 8122, 2009, 2246, 2004, 2065, 2008, 5675, 2052, 2147, 5091, 1012, 2028, 3291, 1996, 8013, 2333, 1012, 2043, 1996, 4610, 2357, 4825, 3316, 4208, 2006, 3616, 2069, 1998, 6515, 8122, 3030, 3652, 1010, 8328, 3197, 1010, 2439, 2566, 1011, 3573, 4341, 1012, 1996, 3643, 1997, 1996, 2434, 5211, 1999, 2755, 1999, 2116, 3572, 2211, 2000, 22802, 1012, 2738, 2084, 18497, 1996, 4677, 2005, 1037, 5618, 1010, 2116, 17834, 5029, 2179, 2009, 2001, 3223, 2000, 1999, 20614, 3176, 5356, 999, 2054, 2001, 5409, 2027, 2071, 2025, 5271, 2070, 1997, 1996, 8859, 1012, 2008, 2001, 2025, 2112, 1997, 1996, 2933, 999, 9090, 4140, 2571, 4916, 18651, 1010, 23968, 2015, 10733, 1998, 2274, 3124, 1521, 1055, 15890, 2015, 1010, 2169, 2007, 1037, 3579, 2006, 1996, 8013, 1998, 2007, 7782, 4105, 10131, 2098, 1996, 9874, 1012, 2027, 2441, 2047, 3197, 1010, 3473, 2119, 1996, 2327, 1998, 3953, 2240, 1012, 2065, 3112, 3727, 15774, 5821, 1010, 19120, 2007, 1037, 3579, 2006, 1996, 7325, 2096, 20607, 2115, 4435, 2074, 2453, 2022, 3145, 2000, 2925, 3112, 1012, 2440, 2326, 1010, 10017, 1998, 4248, 10017, 7884, 2064, 13265, 3112, 12332, 1997, 1996, 1019, 1052, 1521, 1055, 1997, 2833, 5821, 1012, 17834, 5029, 2453, 2215, 2000, 16462, 9440, 2121, 7903, 2063, 7300, 1998, 2049, 1019, 1052, 1521, 1055, 1997, 24665, 10085, 23169, 2102, 4840, 4810, 2833, 5821, 1025, 4031, 1010, 14793, 1010, 11073, 1010, 3417, 8010, 1998, 3976, 2007, 1037, 7325, 3579, 2007, 2115, 2279, 4084, 1012, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 10552, 2306, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 10552, 2306, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 3740, 2021, 2025, 3517, 5797, 9530, 27108, 2015, 1010, 2708, 2592, 2961, 2005, 5759, 2241, 10733, 12570, 7065, 12260, 2094, 2008, 2049, 2095, 2214, 18059, 10439, 2038, 1523, 7013, 2039, 2000, 1021, 2454, 1999, 4341, 1524, 1012, 9530, 27108, 2015, 2506, 1523, 1045, 2831, 2000, 3026, 1011, 2504, 7027, 2111, 1010, 1998, 1045, 1521, 1049, 7135, 2043, 1045, 2963, 2068, 2360, 2027, 2228, 2009, 1521, 1055, 1037, 6904, 2094, 2008, 1521, 1055, 2183, 2000, 3413, 1010, 1524, 9530, 27108, 2015, 2056, 1997, 26381, 5097, 1012, 1523, 2009, 1521, 1055, 2053, 2936, 2183, 2000, 2022, 1037, 4658, 2518, 2000, 2031, 1037, 4684, 10439, 1012, 2009, 1521, 1055, 2183, 2000, 2022, 1037, 8013, 17626, 1012, 1524, 2045, 2031, 2042, 2055, 1016, 2454, 22956, 1997, 10733, 12570, 1521, 1055, 18059, 10439, 1012, 2006, 2257, 5351, 2230, 2256, 9927, 1024, 2064, 2017, 4175, 1996, 29500, 2006, 2799, 5764, 6936, 2047, 20859, 1997, 4353, 1012, 1045, 2031, 20988, 4455, 2144, 2013, 1039, 1011, 2504, 4825, 1998, 15106, 5324, 8390, 4851, 2065, 2037, 8013, 2038, 2333, 1012, 10166, 1010, 1045, 2106, 2025, 2342, 2000, 3437, 1012, 1996, 3980, 2003, 2073, 2038, 2045, 4435, 2333, 1999, 1996, 2627, 2093, 2086, 1012, 2116, 3432, 2024, 24114, 6599, 3279, 2006, 2256, 3171, 2335, 1012, 27589, 28556, 999, 7564, 1997, 9639, 2024, 3652, 1025, 3745, 1997, 4308, 1012, 2748, 1010, 3745, 1997, 4308, 2003, 2108, 2417, 2923, 3089, 8569, 3064, 1012, 1996, 4791, 2421, 4677, 7884, 1010, 15106, 5324, 1010, 13025, 5324, 1998, 4319, 5324, 2007, 7902, 2006, 1996, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 24665, 10085, 23169, 2102, 18111, 1012, 2065, 2115, 4435, 2003, 2025, 3652, 2009, 2003, 5996, 1012, 4684, 10439, 1521, 1055, 2024, 2074, 2028, 19717, 1997, 1037, 3144, 5656, 1999, 2833, 7027, 2075, 2651, 1012, 3465, 3597, 2038, 2049, 2126, 1010, 1996, 11240, 3496, 2635, 2173, 2012, 2049, 16679, 3560, 5324, 2097, 2574, 2022, 2006, 1996, 2693, 1011, 1011, 2000, 1996, 21698, 6670, 7258, 2124, 2004, 1000, 8133, 1000, 4460, 1010, 2029, 2031, 2146, 2042, 1996, 14585, 1997, 2502, 1011, 3482, 16629, 1998, 2533, 5324, 2003, 6224, 5269, 2306, 25943, 1012, 2073, 2024, 2115, 6304, 1029, 24665, 10085, 23169, 2102, 2565, 20794, 2800, 1025, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 2833, 3068, 22283, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 5958, 1010, 2257, 2676, 1010, 2230, 3164, 3144, 2064, 2022, 2179, 1999, 4840, 4810, 2833, 4855, 2012, 15106, 5324, 1012, 11333, 4213, 2038, 2623, 2008, 2027, 2024, 5738, 1996, 3516, 3006, 2220, 1999, 2249, 1012, 2096, 7123, 2480, 4247, 2006, 2009, 1521, 1055, 4935, 3298, 2148, 1998, 2264, 1012, 2119, 1997, 2122, 8859, 3613, 2000, 25220, 1998, 3298, 5096, 16911, 8013, 4208, 7954, 6686, 4840, 4810, 1998, 12109, 2833, 1012, 9036, 1521, 1055, 2236, 5324, 1010, 4297, 4518, 4247, 2000, 4125, 2006, 15336, 12143, 1010, 2021, 1996, 4518, 3976, 2003, 3020, 2084, 1996, 3749, 2011, 4862, 3672, 3370, 6411, 2063, 1011, 16985, 2094, 4297, 1012, 1996, 3114, 3090, 2034, 2005, 1996, 2202, 2058, 3749, 2001, 1996, 5151, 3105, 2008, 9036, 1521, 1055, 2001, 2725, 4439, 2327, 2240, 4341, 2007, 4840, 4810, 2833, 21862, 1996, 24665, 10085, 23169, 2102, 18111, 1012, 1996, 2136, 2012, 9036, 1521, 1055, 2003, 2725, 1037, 2200, 2204, 3105, 999, 9036, 1521, 1055, 2003, 2311, 2327, 2240, 4341, 1998, 3953, 2240, 11372, 2096, 4852, 8013, 9721, 2007, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 4840, 4810, 2833, 1012, 1021, 5408, 1996, 2922, 15106, 3573, 4677, 2003, 2130, 2062, 8052, 1012, 2027, 2020, 1523, 2426, 1996, 4069, 9639, 2956, 2006, 4297, 1012, 2932, 1005, 1055, 2959, 3296, 4297, 1012, 13509, 1010, 2019, 7262, 5464, 1997, 1996, 3842, 1005, 1055, 7915, 1011, 3652, 2797, 3316, 1524, 1012, 2027, 2024, 1996, 2922, 15106, 3573, 2194, 1998, 3205, 2004, 2028, 1997, 1996, 7915, 3652, 1025, 2008, 2003, 5186, 3697, 2000, 14570, 999, 2054, 2024, 1996, 6853, 2005, 1021, 5408, 1029, 24665, 10085, 23169, 2102, 4840, 4810, 2833, 1998, 5024, 8335, 4105, 1012, 7884, 1010, 13025, 5324, 1998, 4319, 5324, 2035, 2442, 7065, 17417, 2102, 4435, 19120, 21923, 2007, 2023, 2047, 6387, 3298, 1998, 3579, 2006, 3745, 1997, 4308, 2013, 1996, 15106, 3573, 4753, 1012, 16911, 1996, 1019, 1052, 1521, 1055, 1997, 24665, 10085, 23169, 2102, 4840, 4810, 2833, 5821, 1025, 4031, 1010, 14793, 1010, 11073, 1010, 3417, 8010, 1998, 3976, 2007, 1037, 7325, 3579, 1010, 10390, 1998, 3316, 2064, 2119, 2663, 1012, 24665, 10085, 23169, 2102, 2565, 20794, 2800, 1025, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 9432, 1010, 2257, 2656, 1010, 2230, 7567, 1999, 1037, 5402, 1997, 7396, 14422, 1998, 8027, 12046, 1521, 1055, 27937, 2094, 1521, 1055, 12220, 19838, 5620, 3166, 1997, 1523, 1037, 2298, 2046, 1996, 2925, 1997, 9440, 2121, 7903, 2063, 1524, 7657, 2008, 1523, 7879, 2000, 1057, 1012, 1055, 1012, 7884, 2024, 19939, 2098, 2000, 4982, 2625, 2084, 2028, 3867, 1037, 2095, 2058, 1996, 2279, 5476, 1012, 2008, 2003, 12430, 2084, 1996, 1015, 1012, 1015, 3867, 1997, 3930, 11310, 1999, 1996, 1057, 1012, 1055, 1012, 2313, 1012, 7328, 2008, 2007, 2019, 12520, 2313, 5873, 7884, 2625, 4703, 9005, 2019, 4895, 21678, 2989, 3193, 2005, 1996, 3930, 1998, 5618, 8010, 1997, 2116, 1037, 4825, 8859, 2429, 2000, 19838, 5620, 1998, 27937, 2094, 1012, 2174, 1024, 1996, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 4840, 4810, 24665, 10085, 23169, 2102, 2833, 18111, 2003, 20607, 2046, 1996, 2373, 4753, 1997, 7027, 9440, 2121, 7903, 2063, 1012, 1996, 24665, 10085, 23169, 2102, 18111, 4208, 2006, 7954, 6642, 2008, 13711, 3674, 15982, 11105, 1012, 2008, 2038, 2023, 2095, 2894, 6296, 3316, 1996, 7777, 1997, 24547, 28637, 3619, 1010, 1021, 5408, 1010, 1998, 2003, 2128, 24454, 28660, 3731, 3006, 1012, 1996, 24665, 10085, 23169, 2102, 18111, 2003, 11539, 1997, 3262, 7884, 1010, 2059, 13025, 5324, 1010, 1039, 1011, 5324, 1010, 2085, 4319, 5324, 1012, 10390, 2024, 8790, 2025, 10763, 1010, 2047, 12046, 2015, 1997, 7325, 2833, 7060, 3305, 1998, 7919, 16157, 4495, 2651, 1998, 4826, 1012, 1996, 24665, 10085, 23169, 2102, 18111, 2003, 3561, 2007, 7884, 1010, 13025, 5324, 1010, 15106, 5324, 1010, 4319, 5324, 2169, 16911, 2047, 12046, 1521, 1055, 2000, 4503, 7325, 4208, 4495, 2005, 4826, 1010, 2169, 2311, 8013, 6075, 1010, 9721, 1998, 2327, 2240, 4341, 1012, 2123, 1521, 1056, 2292, 2115, 4435, 2131, 7567, 1999, 1996, 2627, 999, 2123, 1521, 1056, 2131, 7567, 2046, 12560, 4435, 3860, 2964, 2096, 2115, 7325, 2003, 3048, 1012, 2651, 2169, 4245, 2003, 4208, 2006, 2833 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2028, 1997, 1996, 5221, 20828, 1997, 16108, 2003, 2049, 1521, 3596, 3075, 2005, 8304, 3596, 7961, 1012, 2130, 2295, 16108, 2038, 2070, 2328, 1011, 1999, 2433, 9398, 18926, 2004, 3223, 1010, 2009, 2823, 2003, 4072, 2000, 3443, 2115, 2219, 2433, 9398, 18926, 1012, 23561, 5533, 1998, 22643, 3596, 1999, 16108, 1010, 2045, 2024, 2048, 2433, 14184, 1024, 23561, 5533, 1998, 22643, 1012, 1996, 23561, 1011, 5533, 4473, 2017, 2000, 20648, 1996, 2433, 7961, 1999, 1996, 23561, 1998, 22643, 4473, 2017, 2000, 4339, 2115, 2433, 2004, 4127, 23235, 3642, 1999, 1996, 23561, 1012, 2023, 2965, 2008, 4526, 7661, 9398, 18926, 2005, 23561, 5533, 3596, 2003, 6069, 2022, 3621, 2367, 2013, 22643, 3596, 1012, 1996, 4489, 2003, 10468, 2008, 2017, 2024, 6069, 10236, 1996, 22643, 7661, 9398, 8844, 1999, 1037, 16449, 2000, 2191, 2009, 2147, 2007, 23561, 5533, 3596, 1012, 2065, 2017, 2024, 2478, 23561, 5533, 3596, 1045, 16755, 16861, 2115, 7661, 9398, 18926, 1999, 1037, 2126, 2008, 2027, 2024, 2036, 11892, 2007, 22643, 3596, 1010, 2323, 2017, 2215, 2000, 2224, 2008, 1012, 4526, 1037, 7661, 9398, 8844, 2005, 22643, 3596, 4526, 1037, 7661, 9398, 8844, 2005, 22643, 3596, 2003, 2941, 2062, 3722, 2084, 2005, 1037, 23561, 5533, 2433, 1012, 2017, 2069, 2342, 2000, 10408, 9398, 8844, 2546, 2078, 1010, 2029, 3138, 1037, 2433, 2491, 1998, 5651, 2019, 7561, 4874, 1012, 1037, 3058, 9398, 8844, 2064, 2022, 2580, 2004, 1024, 19528, 1011, 3058, 1012, 9398, 8844, 1012, 16449, 1012, 24529, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 2182, 2057, 2024, 9398, 5844, 2065, 1996, 7953, 2064, 2022, 4991, 2000, 1037, 3058, 1998, 2065, 2025, 1010, 2057, 2709, 2019, 7561, 4874, 2007, 1523, 19528, 13701, 1524, 2275, 1009, 1996, 19528, 3643, 1010, 2023, 2043, 2064, 2022, 2109, 2000, 4653, 2019, 7561, 4471, 2000, 1996, 5310, 1012, 2023, 9398, 8844, 2003, 13322, 2039, 2000, 1037, 22643, 2433, 2066, 2023, 1024, 28681, 2080, 1012, 6922, 1012, 24529, 2023, 1012, 2433, 1027, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2177, 1006, 1063, 2516, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 6412, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 2349, 13701, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1010, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1007, 1010, 1065, 1007, 1025, 1015, 1016, 1017, 1018, 1019, 2023, 1012, 2433, 1027, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2177, 1006, 1063, 2516, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 6412, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 2349, 13701, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1010, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1007, 1010, 1065, 1007, 1025, 4526, 1037, 7661, 9398, 8844, 2005, 23561, 5533, 3596, 2004, 2056, 2077, 1010, 2043, 4526, 1037, 7661, 9398, 8844, 2005, 1037, 23561, 5533, 2433, 1010, 2017, 2323, 2031, 2580, 1996, 9398, 8844, 1042, 2078, 2034, 1010, 2029, 2003, 2109, 19802, 22139, 2135, 2065, 2009, 2001, 1999, 1037, 22643, 2433, 1024, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 1030, 16449, 1006, 1063, 27000, 1024, 1005, 1031, 10439, 2378, 10175, 3593, 13701, 1033, 1005, 1010, 11670, 1024, 1031, 1063, 3073, 1024, 12835, 1035, 9398, 18926, 1010, 2224, 10288, 2923, 2075, 1024, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 1010, 4800, 1024, 2995, 1065, 1033, 1065, 1007, 9167, 2465, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 22164, 9398, 8844, 1063, 1013, 1013, 24529, 4115, 2102, 1024, 4487, 19150, 1011, 2279, 1011, 2240, 1024, 2053, 1011, 7953, 1011, 14916, 14074, 1030, 7953, 1006, 1005, 10439, 2378, 10175, 3593, 13701, 1005, 1007, 2270, 19528, 13701, 1024, 5164, 1025, 2270, 9398, 3686, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1063, 2709, 2023, 1012, 19528, 13701, 1029, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1006, 2491, 1007, 1024, 19701, 1025, 1065, 1065, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 2184, 2340, 2260, 2410, 2403, 2321, 2385, 2459, 2324, 2539, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 1030, 16449, 1006, 1063, 27000, 1024, 1005, 1031, 10439, 2378, 10175, 3593, 13701, 1033, 1005, 1010, 11670, 1024, 1031, 1063, 3073, 1024, 12835, 1035, 9398, 18926, 1010, 2224, 10288, 2923, 2075, 1024, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 1010, 4800, 1024, 2995, 1065, 1033, 1065, 1007, 9167, 2465, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 22164, 9398, 8844, 1063, 1013, 1013, 24529, 4115, 2102, 1024, 4487, 19150, 1011, 2279, 1011, 2240, 1024, 2053, 1011, 7953, 1011, 14916, 14074, 1030, 7953, 1006, 1005, 10439, 2378, 10175, 3593, 13701, 1005, 1007, 2270, 19528, 13701, 1024, 5164, 1025, 2270, 9398, 3686, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1063, 2709, 2023, 1012, 19528, 13701, 1029, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1006, 2491, 1007, 1024, 19701, 1025, 1065, 1065, 2005, 2478, 1037, 9398, 8844, 1999, 1037, 23561, 1011, 5533, 2433, 2057, 8103, 2009, 1999, 2007, 1037, 16449, 1012, 5060, 2008, 2057, 14187, 2000, 2019, 17961, 2007, 1031, 1033, 1999, 1996, 27000, 1012, 1996, 2126, 2057, 8103, 2009, 2046, 16108, 23561, 5533, 3596, 2011, 5815, 1996, 16449, 2000, 16108, 1521, 1055, 12835, 1035, 9398, 18926, 2478, 1996, 4800, 5724, 1012, 12835, 1035, 9398, 18926, 2003, 1037, 10802, 16108, 2003, 2478, 2006, 2296, 2433, 2689, 2000, 7077, 2083, 1996, 9398, 18926, 1999, 1996, 2433, 1998, 10651, 1996, 2433, 1521, 1055, 16406, 1012, 1037, 9398, 8844, 16449, 22164, 9398, 8844, 2013, 1030, 16108, 1013, 3596, 2029, 5383, 1037, 9398, 3686, 2655, 5963, 2029, 2003, 2170, 2011, 16108, 3596, 11336, 2043, 2009, 2009, 22139, 2015, 2006, 2035, 16449, 2015, 13322, 2046, 12835, 1035, 9398, 18926, 1012, 7953, 2000, 1037, 9398, 8844, 2064, 2022, 2589, 2007, 2019, 7953, 9398, 8844, 2008, 3503, 1996, 27000, 2015, 2171, 1012, 1037, 13576, 7577, 2005, 4526, 1037, 12379, 7661, 9398, 8844, 10303, 1010, 2438, 1997, 1996, 8727, 5821, 1529, 1045, 2031, 2179, 2009, 2071, 2468, 6945, 6313, 2005, 2725, 2035, 1996, 2682, 2832, 2005, 2428, 3722, 27354, 7961, 1010, 2061, 2005, 2008, 3114, 1010, 1045, 2234, 2039, 2007, 1037, 7661, 9398, 8844, 16449, 2008, 16157, 2015, 22017, 20898, 11423, 1012, 2005, 3375, 27354, 7961, 1045, 2052, 2066, 2000, 4372, 17695, 23722, 3686, 27354, 7961, 1010, 2066, 1999, 1996, 2682, 2742, 1010, 2021, 2065, 2009, 2003, 2428, 3722, 22017, 20898, 11423, 1045, 9544, 2121, 2000, 2224, 1996, 12379, 7661, 9398, 8844, 1010, 2004, 2009, 13169, 2017, 2013, 2725, 1996, 2682, 4084, 2005, 2296, 9398, 8844, 1012, 1996, 12379, 7661, 9398, 8844, 3504, 2066, 2023, 1024, 9167, 2465, 7661, 10175, 8524, 4263, 1063, 9570, 2953, 1006, 2270, 3670, 1024, 1006, 1007, 1027, 1028, 22017, 20898, 1010, 2270, 9398, 8844, 18442, 1024, 5164, 1007, 1063, 1065, 1065, 9167, 3853, 7661, 10175, 8524, 4263, 2546, 2078, 21450, 1006, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 3853, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1063, 9530, 3367, 7561, 16429, 3501, 1027, 1063, 1065, 1025, 7561, 16429, 3501, 1031, 7661, 10175, 8524, 4263, 1012, 9398, 8844, 18442, 1033, 1027, 2995, 1025, 2709, 7661, 10175, 8524, 4263, 1012, 3670, 1006, 1007, 1029, 19701, 1024, 7561, 16429, 3501, 1025, 1065, 1025, 1065, 1030, 16449, 1006, 1063, 27000, 1024, 1005, 1031, 10439, 7874, 20389, 10175, 8524, 4263, 1033, 1005, 1010, 11670, 1024, 1031, 1063, 3073, 1024, 12835, 1035, 9398, 18926, 1010, 2224, 10288, 2923, 2075, 1024, 7661, 10175, 8524, 4263, 4305, 2890, 15277, 1010, 4800, 1024, 2995, 1065, 1033, 1065, 1007, 9167, 2465, 7661, 10175, 8524, 4263, 4305, 2890, 15277, 22164, 9398, 8844, 1063, 2797, 1035, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1025, 2270, 2131, 10439, 7874, 20389, 10175, 8524, 4263, 1006, 1007, 1024, 7661, 10175, 8524, 4263, 1063, 2709, 2023, 1012, 1035, 7661, 10175, 8524, 4263, 1025, 1065, 1030, 7953, 1006, 1007, 2270, 2275, 10439, 7874, 20389, 10175, 8524, 4263, 1006, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1007, 1063, 2023, 1012, 1035, 7661, 10175, 8524, 4263, 1027, 7661, 10175, 8524, 4263, 1025, 2065, 1006, 2023, 1012, 1035, 2006, 22305, 2063, 1007, 1063, 2023, 1012, 1035, 2006, 22305, 2063, 1006, 1007, 1025, 1065, 1065, 2797, 1035, 2006, 22305, 2063, 1024, 1006, 1007, 1027, 1028, 11675, 1025, 9570, 2953, 1006, 1007, 1063, 1065, 2270, 9398, 3686, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1063, 2709, 7661, 10175, 8524, 4263, 2546, 2078, 21450, 1006, 2023, 1012, 10439, 7874, 20389, 10175, 8524, 4263, 1007, 1006, 2491, 1007, 1025, 1065, 16770, 1024, 1013, 1013, 3017, 2135, 3207, 5804, 1012, 4012, 1013, 1059, 2361, 1011, 4748, 10020, 1013, 2695, 1012, 25718, 1029, 2695, 1027, 19492, 1004, 2895, 1027, 10086, 1001, 2270, 4236, 2239, 10175, 8524, 4263, 22305, 2063, 1029, 1006, 1042, 2078, 1024, 1006, 1007, 1027, 1028, 11675, 1007, 1024, 11675, 1063, 2023, 1012, 1035, 2006, 22305, 2063, 1027, 1042, 2078, 1025, 1065, 1065, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 2184, 2340, 2260, 2410, 2403, 2321, 2385, 2459, 2324, 2539, 2322, 2538, 2570, 2603, 2484, 2423, 2656, 2676, 2654, 2756, 2382, 2861, 3590, 3943, 4090, 3486, 4029, 4261, 4229, 4464, 2871, 4601, 4413, 4724, 9167, 2465, 7661, 10175, 8524, 4263, 1063, 9570, 2953, 1006, 2270, 3670, 1024, 1006, 1007, 1027, 1028, 22017, 20898, 1010, 2270, 9398, 8844, 18442, 1024, 5164, 1007, 1063, 1065, 1065, 9167, 3853, 7661, 10175, 8524, 4263, 2546, 2078, 21450, 1006, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 3853, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1063, 9530, 3367, 7561, 16429, 3501, 1027, 1063, 1065, 1025, 7561, 16429, 3501, 1031, 7661, 10175, 8524, 4263, 1012, 9398, 8844, 18442, 1033, 1027, 2995, 1025, 2709, 7661, 10175, 8524, 4263, 1012, 3670, 1006, 1007, 1029 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 3166, 1024, 1011, 1005, 10556, 9759, 2080, 1031, 11041, 2050, 1033, 1063, 1065, 1031, 1034, 1015, 1033, 1005, 2516, 1024, 1005, 10768, 18752, 2863, 10177, 4588, 1998, 2146, 2558, 3424, 7512, 21716, 25440, 4588, 12335, 1999, 2152, 6714, 2002, 28992, 4059, 8859, 2007, 1002, 1040, 1002, 1011, 25502, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2426, 2536, 12564, 2598, 2163, 1999, 8559, 16853, 2964, 1010, 1996, 11085, 7847, 2063, 2110, 1999, 1996, 16109, 6714, 3424, 7512, 21716, 25440, 4588, 2002, 28992, 4059, 4677, 1031, 1030, 1042, 2094, 1033, 2038, 2042, 2087, 8077, 3273, 2119, 6388, 2135, 1998, 22634, 1012, 2023, 2110, 2003, 7356, 2011, 1996, 5023, 3424, 7512, 21716, 25440, 4588, 5164, 2344, 5642, 2011, 1996, 1002, 1062, 1035, 1016, 1032, 2335, 1062, 1035, 1016, 1002, 14991, 12554, 1999, 8741, 1997, 1996, 3739, 1997, 1996, 2943, 6578, 1998, 27258, 13121, 1997, 1996, 6714, 1011, 6714, 16902, 3853, 1012, 1996, 3733, 4946, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 1002, 1040, 1006, 1028, 1014, 1007, 1002, 20735, 1996, 11085, 7847, 2063, 2598, 2110, 2877, 2000, 1996, 2312, 1011, 1002, 1040, 1002, 2110, 2007, 10713, 2943, 6578, 1998, 27258, 13121, 1997, 1996, 6714, 1011, 6714, 16902, 3853, 1031, 1008, 2302, 3563, 2344, 1008, 1033, 1063, 1065, 1012, 2006, 1996, 10043, 1010, 1996, 3733, 8123, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 1006, 1002, 1040, 1026, 1014, 1002, 1007, 9297, 1996, 11085, 7847, 2063, 2110, 2046, 1996, 7663, 2140, 2110, 1012, 1031, 1030, 9108, 1025, 1030, 1044, 2102, 1025, 1030, 8802, 1033, 2006, 1996, 2060, 2192, 1010, 1996, 2598, 2110, 1997, 1996, 5976, 6714, 2002, 28992, 4059, 4677, 2003, 1996, 3419, 7856, 3654, 1011, 11320, 13027, 2121, 6381, 2110, 1012, 2349, 2000, 2049, 4187, 3267, 1010, 1996, 2598, 2110, 2003, 5533, 2000, 1996, 7663, 2140, 3641, 2110, 2005, 10709, 5332, 9067, 4997, 1002, 1040, 1002, 2096, 1996, 11320, 13027, 2121, 6381, 2110, 2003, 6540, 2114, 3893, 1002, 1040, 1002, 1031, 1030, 1044, 22578, 1033, 1012, 1999, 2023, 6123, 1010, 2009, 2003, 2019, 5875, 3277, 2000, 8556, 2129, 1996, 2598, 2163, 1997, 1996, 8559, 6714, 8859, 2024, 6310, 2065, 1996, 3733, 1011, 8123, 1998, 3733, 1011, 4946, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 24873, 9048, 3367, 1999, 1037, 2309, 4677, 1012, 1999, 1996, 3025, 2147, 1031, 1030, 12456, 2094, 1033, 1010, 1996, 2556, 3166, 1998, 8802, 10847, 1996, 1002, 1055, 1027, 1015, 1002, 4677, 2007, 15122, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 1998, 2179, 2008, 1996, 2558, 11515, 7663, 2140, 4403, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 3252, 2003, 3651, 2005, 2844, 11477, 9323, 22261, 1010, 2348, 1996, 11085, 7847, 2063, 4403, 2003, 6540, 2005, 5410, 11477, 9323, 1012, 1996, 3558, 4761, 1997, 2023, 2828, 1997, 7663, 2140, 2344, 2003, 10009, 2004, 1037, 1521, 22866, 1521, 1997, 1996, 5164, 2344, 1012, 1999, 1996, 2556, 2147, 1010, 2057, 2582, 8849, 2023, 3291, 2005, 1996, 3572, 1002, 1055, 1028, 1015, 1002, 1012, 2057, 2424, 2025, 2069, 1996, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 2598, 2110, 2021, 2036, 1996, 10768, 18752, 2863, 10177, 4588, 2598, 2163, 2007, 24110, 23355, 1998, 4895, 16211, 16778, 5422, 17630, 16853, 3989, 2005, 7783, 3997, 1997, 1002, 1040, 1002, 1011, 11477, 9323, 1012, 2122, 24110, 3775, 4143, 3064, 5300, 1997, 16853, 3989, 2036, 13225, 1996, 9808, 4048, 13069, 1011, 8038, 24805, 2912, 1011, 21358, 21031, 3600, 4650, 1031, 1030, 1051, 3148, 1033, 2092, 1011, 2124, 2005, 1996, 16853, 3989, 9814, 1999, 1996, 8060, 2492, 1012, 2023, 3259, 2003, 4114, 2004, 4076, 1012, 1999, 1996, 2279, 2930, 1010, 1996, 2944, 5226, 2937, 2003, 3591, 1998, 1996, 2048, 2825, 12411, 16843, 2015, 2029, 5260, 2000, 2367, 2598, 2163, 2024, 4541, 1012, 1999, 1073, 1017, 1010, 1996, 15973, 3463, 2005, 1996, 17630, 16853, 3989, 1998, 1996, 2334, 6714, 6337, 2024, 3591, 2000, 7487, 1996, 3558, 3267, 1997, 2169, 2110, 1012, 1996, 2197, 2930, 2003, 7422, 2000, 12654, 1998, 6594, 1012, 2944, 5226, 2937, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2057, 8556, 1996, 2598, 2110, 1997, 1996, 2002, 28992, 4059, 8859, 2007, 15122, 2309, 2609, 2019, 19565, 13181, 7685, 3005, 5226, 2937, 2003, 2445, 2011, 1010, 1002, 1002, 1032, 4088, 1063, 13115, 1065, 1032, 3830, 1063, 10654, 2692, 1065, 1063, 1032, 10250, 1044, 1065, 1004, 1027, 1004, 1032, 7680, 1035, 1063, 1048, 1027, 1015, 1065, 1034, 1063, 1050, 1065, 1046, 1032, 1058, 1063, 1055, 1065, 1035, 1063, 1048, 1065, 1032, 1058, 1063, 1055, 1065, 1035, 1063, 1048, 1009, 1015, 1065, 1009, 1032, 7160, 1040, 1032, 7680, 1035, 1063, 1048, 1027, 1015, 1065, 1034, 1063, 1050, 1013, 1016, 1065, 1055, 1035, 1063, 1016, 2140, 1011, 1015, 1065, 1034, 1063, 1062, 2475, 1065, 1032, 2512, 29440, 1032, 1032, 1004, 1011, 1004, 1032, 7160, 1040, 1032, 7680, 1035, 1063, 1048, 1027, 1015, 1065, 1034, 1063, 1050, 1013, 1016, 1065, 1055, 1035, 1063, 1016, 2140, 1065, 1034, 1063, 1062, 2475, 1065, 1010, 1032, 1032, 1006, 1046, 1028, 1014, 1010, 1032, 7160, 1040, 1028, 1014, 1007, 1012, 1032, 2203, 1063, 13115, 1065, 1002, 1002, 2073, 1002, 1032, 1058, 1063, 1055, 1035, 1063, 1045, 1065, 1065, 1002, 2003, 1996, 6714, 1011, 1002, 1055, 1002, 6872, 2006, 1996, 1002, 1045, 1002, 1011, 16215, 2609, 1012, 1999, 25416, 1012, 1010, 2009, 2003, 2179, 2008, 1996, 2558, 11515, 7663, 2140, 4403, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 3252, 2003, 3651, 2005, 2312, 2438, 1002, 1032, 7160, 1040, 1002, 2005, 1002, 1055, 1027, 1015, 1002, 1010, 2348, 1996, 11085, 7847, 2063, 4403, 2003, 6540, 2005, 2235, 1002, 1032, 7160, 1040, 1002, 1012, 1996, 7337, 2000, 27790, 2023, 2558, 11515, 7663, 2140, 4403, 2064, 2022, 5319, 2247, 1996, 2206, 12411, 16843, 1006, 12411, 16843, 1045, 1007, 1012, 1999, 1996, 6438, 1997, 1996, 1002, 1040, 1002, 1011, 3408, 1010, 1996, 1002, 1055, 1027, 1015, 1002, 2598, 2110, 2038, 1037, 5023, 5164, 2344, 2029, 12748, 2008, 1996, 23371, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 2024, 5412, 3424, 7512, 21716, 25440, 25084, 2065, 1996, 4573, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 2024, 16791, 1012, 1031, 1030, 9108, 1025, 1030, 1044, 2102, 1033, 1996, 2597, 1997, 1996, 4573, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1998, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 6118, 19857, 6593, 20598, 8559, 27846, 1998, 2023, 3424, 7512, 21716, 25440, 4588, 2344, 3464, 5023, 2138, 2009, 2003, 5263, 2000, 11949, 1996, 16902, 2090, 2069, 1996, 4573, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 6388, 2135, 1012, 1999, 1996, 3739, 1997, 2844, 1002, 1032, 7160, 1040, 1002, 1011, 3408, 1010, 2069, 1996, 2163, 8335, 2007, 1996, 27142, 2275, 2011, 2122, 1002, 1032, 7160, 1040, 1002, 1011, 3408, 5788, 2426, 2035, 2163, 2007, 5023, 2344, 1012, 2005, 1002, 1032, 7160, 1040, 1028, 1028, 1046, 1002, 1010, 1996, 5976, 1011, 16215, 2609, 2442, 2022, 1999, 1996, 2110, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1998, 1996, 2130, 1011, 16215, 4573, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1012, 2000, 2022, 11892, 2007, 1996, 5164, 2344, 1010, 23371, 2442, 2022, 5412, 2004, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1012, 2947, 1996, 2844, 1002, 1032, 7160, 1040, 1002, 1011, 2744, 2064, 7276, 1996, 6714, 2163, 2426, 2216, 2007, 5023, 2344, 2000, 5382, 1996, 13216, 2558, 11515, 7663, 2140, 2344, 1012, 2006, 1996, 2060, 2192, 1010, 2178, 12411, 16843, 1006, 12411, 16843, 2462, 1007, 2003, 2825, 2013, 4556, 2391, 1997, 3193, 1010, 2348, 2023, 2003, 2025, 3651, 1999, 1996, 1002, 1055, 1027, 1015, 1002, 2553, 1012, 2292, 2149, 5136, 1996, 4556, 5787, 2073, 2169, 6714, 2064, 2022, 5240, 2004, 1037, 4556, 3131, 9207, 1012, 1999, 1996, 2598, 2110, 1010, 1996, 23371, 2006, 1996, 3733, 8123, 4573, 2024, 3929, 11508, 3550, 2247, 1002, 1062, 1002, 1011, 3257, 2021, 2216, 2006, 1996, 3733, 1011, 4946, 4573, 2024, 9939, 2011, 2019, 6466, 1002, 1032, 23963, 1027, 1032, 2522, 2015, 1034, 1063, 1011, 1015, 1065, 1006, 1046, 1013, 1032, 7160, 1040, 1007, 1002, 2013, 1996, 1002, 1011, 1062, 1002, 1011, 3257, 2004, 3491, 1999, 20965, 1012, 1032, 1031, 23465, 2378, 1032, 1033, 1012, 3568, 2023, 12411, 16843, 5260, 2000, 1996, 2512, 26895, 3170, 2906, 10768, 18752, 2863, 10177, 4588, 2598, 2110, 2007, 1996, 11867, 12162, 7231, 18674, 16853, 3989, 1002, 1049, 1027, 1049, 1035, 1063, 1032, 28549, 1055, 1065, 1006, 1015, 1011, 1006, 1046, 1013, 1032, 7160, 1040, 1007, 1007, 1013, 1016, 1002, 2004, 27347, 1999, 20965, 1012, 1032, 1031, 18856, 3022, 2863, 2290, 1032, 1033, 1012, 999, 1031, 1996, 4556, 6714, 9563, 1999, 1996, 10768, 18752, 2863, 10177, 4588, 2110, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 23465, 2378, 1000, 1065, 1033, 1006, 20965, 2487, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 2382, 7382, 1000, 1065, 999, 1031, 1996, 17630, 16853, 3989, 1999, 1996, 4556, 5787, 1012, 2182, 1998, 1999, 1996, 2206, 4481, 2943, 4094, 2003, 2275, 2004, 1002, 1046, 1027, 1015, 1002, 1012, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 18856, 3022, 2863, 2290, 1000, 1065, 1033, 1006, 20965, 2475, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 3963, 7382, 1000, 1065, 1999, 2054, 4076, 1010, 2057, 2265, 2008, 2593, 1997, 2122, 2048, 12411, 16843, 2015, 2064, 2022, 3651, 1999, 1002, 1055, 1028, 1015, 1002, 8859, 5834, 2006, 1996, 5300, 1997, 1002, 1032, 7160, 1040, 1002, 1998, 1002, 1055, 1002, 2241, 2006, 1996, 15973, 6635, 19754, 10993, 3508, 1006, 12311, 1007, 1998, 4304, 8185, 17738, 17830, 22731, 2177, 1006, 1040, 2213, 10623, 1007, 17208, 1012, 15973, 3463, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 17630, 16853, 3989, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2000, 6709, 1996, 10768, 18752, 2863, 10177, 4588, 6939, 3517, 1999, 12411, 16843, 2462, 1010, 1996, 2598, 2110, 17630, 16853, 3989, 2003, 10174, 2011, 12311, 2007, 15861, 6192, 4650, 1998, 2011, 1040, 2213, 10623, 2007, 2330, 6192, 4650, 2005, 2536, 5300, 1997, 1002, 1055, 1002, 1998, 1002, 1032, 7160, 1040, 1002, 1012, 1996, 4555, 4677, 3091, 2005, 1996, 12311, 2003, 1002, 1050, 1027, 2260, 1002, 2005, 1002, 1055, 1027, 1017, 1013, 1016, 1002, 1010, 1002, 1055, 1027, 1016, 1002, 1998, 1002, 1055, 1027, 1019, 1013, 1016, 1002, 1010, 2096, 2009, 2003, 1002, 1050, 1027, 1022, 1002, 2005, 1002, 1055, 1027, 1017, 1002, 1012, 2005, 1996, 1040, 2213, 10623, 17208, 2007, 2330, 6192, 4650, 1010, 6413, 2203, 23371, 2024, 2794, 2000, 5547, 1996, 6192, 3896, 1012, 999, 1031, 1996, 17630, 16853, 3989, 2005, 1006, 1037, 1007, 1002, 1055, 1027, 1016, 1002, 2007, 1002, 1050, 1027, 2260, 1002, 1006, 12311, 1007, 1998, 1002, 1050, 1027, 4185, 1002, 1006, 1040, 2213, 10623, 1007, 1010, 1998, 1006, 1038, 1007, 1002, 1055, 1027, 1017, 1002, 2007, 1002, 1050, 1027, 1022, 1002, 1006, 12311, 1007, 1998, 1002, 1050, 1027, 3590, 1002, 1006, 1040, 2213, 10623, 1007, 27347, 2114, 1002, 1032, 7160, 1040, 1002, 1012, 1996, 20384, 3210, 2024, 1996, 4556, 17630, 16853, 3989, 1012, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 17454, 8159, 1000, 1065, 1033, 1006, 20965, 2509, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 3963, 7382, 1000, 1065, 999, 1031, 1996, 17630, 16853, 3989, 2005, 1006, 1037, 1007, 1002, 1055, 1027, 1017, 1013, 1016, 1002, 2007, 1002, 1050, 1027, 2260, 1002, 1006, 12311, 1007, 1998, 1002, 1050, 1027, 4185, 1002, 1006, 1040, 2213, 10623, 1007, 1998, 1006, 1038, 1007, 1002, 1055, 1027, 1019, 1013, 1016, 1002, 2007, 1002, 1050 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 6486, 2620, 1042, 1012, 14134, 24406, 5297, 1004, 1051, 1005, 18820, 1010, 4297, 1012, 1010, 1037, 3840, 1010, 20579, 1011, 10439, 24178, 1010, 2892, 1011, 10439, 14774, 2063, 1010, 1998, 7849, 23943, 4859, 19844, 2194, 1010, 1037, 3840, 1010, 26623, 24759, 22325, 13355, 1010, 13474, 2006, 4675, 25154, 2015, 1010, 2892, 1011, 10439, 14774, 2063, 1010, 1998, 10760, 7855, 8203, 2166, 5427, 2194, 1010, 9353, 2953, 17822, 3370, 1010, 26623, 20579, 1010, 13474, 2006, 3597, 16671, 2121, 25154, 2015, 1998, 2353, 1011, 2283, 24759, 22325, 13355, 1011, 10439, 24178, 1010, 2892, 1011, 10439, 14774, 2063, 1010, 1058, 1012, 12712, 12006, 2075, 1010, 4297, 1012, 1010, 1037, 3840, 1998, 2726, 1049, 1012, 12712, 1010, 16362, 1011, 10439, 14774, 2229, 1010, 2892, 1011, 10439, 24178, 2015, 1012, 16839, 1012, 6070, 1011, 5539, 2683, 1010, 6070, 1011, 20637, 2620, 1998, 6070, 1011, 20637, 2683, 1012, 2142, 2163, 2457, 1997, 9023, 1010, 5066, 4984, 1012, 5275, 13292, 1012, 1017, 1010, 2960, 1012, 2787, 13114, 1012, 2410, 1010, 2901, 1012, 2004, 13266, 13114, 1012, 2321, 1010, 2901, 1012, 2128, 26560, 2075, 6380, 2233, 2321, 1010, 2901, 1012, 2077, 17838, 1010, 2708, 3648, 1010, 13109, 4887, 2213, 1998, 22827, 2638, 1010, 4984, 6794, 1012, 13109, 4887, 2213, 1010, 4984, 3648, 1012, 1015, 2023, 8906, 2553, 5936, 1037, 3206, 2090, 5297, 1004, 1051, 1005, 18820, 1006, 1037, 1004, 1051, 1007, 1998, 12712, 12006, 2075, 1006, 12712, 1007, 2005, 1996, 12451, 1997, 1037, 2311, 3079, 2011, 7855, 8203, 2166, 5427, 1006, 13221, 2140, 1007, 1012, 2044, 1037, 2416, 2733, 3979, 1010, 1996, 6467, 3843, 1037, 2569, 14392, 4531, 2008, 1037, 1004, 1051, 2018, 3308, 7699, 12527, 1996, 3206, 1998, 2008, 13221, 2140, 2018, 17153, 20771, 2135, 28976, 2007, 1996, 3206, 1012, 1996, 2212, 2457, 4379, 13221, 2140, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2006, 1996, 17153, 2102, 4366, 1012, 1996, 4054, 3277, 1999, 2023, 2553, 7336, 1996, 5372, 5468, 2005, 3206, 12394, 2104, 5273, 2375, 1012, 1999, 2804, 1010, 1996, 4243, 5574, 1996, 2212, 2457, 6567, 4953, 17153, 20771, 11099, 2007, 3206, 1010, 15201, 9714, 1010, 26136, 13043, 12394, 1010, 7909, 1997, 5366, 1010, 4905, 1005, 1055, 9883, 1010, 1998, 3653, 9103, 2094, 21693, 4765, 3037, 2005, 2119, 3206, 12394, 1998, 7584, 12394, 1012, 2005, 1996, 4436, 3090, 2917, 1010, 2057, 21358, 27972, 3272, 2007, 4847, 2000, 1996, 3653, 9103, 2094, 21693, 4765, 3037, 2006, 1996, 3206, 12394, 1012, 8866, 1998, 8931, 2917, 1016, 13221, 2140, 5086, 1037, 1004, 1051, 1010, 1037, 12590, 3079, 7506, 1997, 13221, 2140, 1010, 2000, 2552, 2004, 2049, 2236, 13666, 2005, 1996, 10525, 1997, 13221, 2140, 1005, 1055, 5116, 9184, 2436, 1012, 2004, 2112, 1997, 1996, 10525, 1010, 1037, 1004, 1051, 14017, 28775, 3064, 20723, 2005, 1996, 12451, 1997, 2112, 1997, 1996, 2436, 1010, 3228, 7562, 1997, 1996, 2311, 1998, 4352, 4022, 7226, 13375, 2000, 11628, 1996, 2311, 1005, 1055, 2630, 1011, 11204, 1012, 12712, 7864, 1037, 7226, 1997, 1002, 5354, 2629, 1010, 2199, 1010, 3621, 2917, 2049, 11436, 3465, 1997, 12451, 2006, 1996, 3978, 2008, 2009, 2071, 3104, 2049, 5366, 2083, 5096, 1997, 1996, 18340, 1012, 12712, 1005, 1055, 7226, 2001, 6022, 2917, 2060, 20723, 1010, 2061, 1037, 1004, 1051, 1998, 12712, 3133, 2046, 1037, 12451, 3206, 1012, 1015, 1017, 1996, 3206, 2170, 2005, 12451, 2147, 2000, 4088, 1999, 2089, 1997, 3245, 1998, 2000, 3926, 1999, 2244, 3245, 1012, 13221, 2140, 2106, 2025, 1010, 2174, 1010, 12436, 16280, 1996, 2311, 2127, 3054, 1011, 2000, 1011, 2397, 2257, 1998, 2440, 4094, 12451, 2106, 2025, 4088, 2127, 2257, 2676, 1010, 3245, 1010, 2012, 2029, 2051, 12712, 7864, 1037, 2176, 3204, 6503, 6134, 1012, 1018, 2471, 3202, 2588, 20561, 1997, 1996, 12451, 1010, 12712, 2211, 2000, 8087, 14477, 16778, 6895, 17585, 2094, 3785, 2029, 3303, 14350, 1012, 2122, 3785, 2443, 1037, 11632, 2008, 2001, 3833, 1997, 3886, 1010, 5509, 1998, 6967, 1010, 1998, 3082, 8332, 13110, 2881, 2000, 2490, 2809, 3176, 3441, 1012, 10821, 4953, 11664, 6497, 1010, 5005, 1010, 1998, 22755, 3303, 1037, 1004, 1051, 2000, 16021, 18300, 12712, 2000, 12666, 8853, 2000, 5547, 2122, 3785, 2029, 9784, 1996, 12451, 2832, 2582, 1012, 1019, 1996, 14350, 3724, 1996, 6503, 3058, 2582, 1998, 2582, 2067, 1010, 2127, 12712, 2633, 7864, 1037, 6134, 2008, 2170, 2005, 6503, 1999, 2251, 3150, 1012, 2776, 1010, 4557, 11262, 1010, 2343, 1997, 13221, 2140, 1010, 5228, 2010, 5142, 2058, 1996, 14350, 2000, 1037, 1004, 1051, 1010, 1998, 2006, 2089, 1023, 1010, 3150, 1010, 1037, 1004, 1051, 12527, 1996, 3206, 1012, 1020, 1037, 1004, 1051, 13364, 12923, 12712, 1998, 2110, 2469, 3723, 1006, 12712, 1005, 1055, 19882, 2194, 1007, 2005, 12510, 1997, 3206, 1012, 2009, 2036, 2315, 1010, 1999, 2010, 3265, 3977, 1010, 2726, 12712, 1010, 2343, 1997, 12712, 12006, 2075, 1010, 2004, 1037, 13474, 1012, 12712, 4675, 25154, 2098, 2005, 12510, 1997, 3206, 1012, 2037, 7593, 6401, 2105, 2029, 2283, 2001, 3625, 2005, 1996, 14350, 1998, 2040, 2323, 4562, 1996, 3176, 5366, 1997, 12451, 3303, 2011, 1996, 14350, 1998, 1996, 4745, 3431, 1999, 7709, 1012, 1996, 3206, 2001, 1037, 4964, 1011, 3976, 3206, 1998, 2170, 2005, 5337, 2517, 2689, 4449, 2005, 2151, 2689, 1999, 3976, 1012, 2130, 2061, 1010, 12712, 4447, 2008, 2009, 2003, 4709, 2000, 7909, 2005, 4469, 5366, 2138, 1996, 4243, 16301, 1996, 3206, 8910, 4214, 2005, 2517, 2689, 4449, 1012, 1021, 13221, 2140, 21116, 2004, 1997, 2157, 1999, 1996, 2895, 2138, 2009, 2001, 9280, 20090, 2004, 2019, 27427, 6633, 3490, 4263, 1997, 1037, 1004, 1051, 1012, 12712, 4675, 25154, 2098, 2114, 13221, 2140, 2005, 17153, 20771, 11099, 2007, 2449, 3206, 6550, 1010, 1998, 1006, 2247, 2007, 2726, 12712, 1007, 2691, 2375, 1998, 15201, 9714, 2000, 4053, 5891, 1010, 3119, 1998, 2449, 1012, 1022, 1996, 2212, 3648, 7219, 1996, 2691, 2375, 9714, 4447, 2006, 1037, 4367, 2005, 7704, 12654, 8689, 1012, 2206, 1037, 2416, 2733, 3979, 1010, 1996, 6467, 2513, 1037, 2569, 14392, 4531, 2008, 1037, 1004, 1051, 2018, 25769, 1996, 3206, 2011, 23552, 2009, 2302, 19777, 1012, 2027, 3018, 4012, 11837, 16846, 10253, 12394, 1997, 1002, 5594, 2475, 1010, 2199, 1012, 2027, 2582, 2179, 2008, 1037, 1004, 1051, 2018, 3308, 7699, 6025, 18340, 7495, 2000, 12712, 1999, 1996, 3815, 1997, 1002, 5786, 1010, 6535, 2620, 1012, 1999, 2804, 1010, 1996, 6467, 2179, 2008, 13221, 2140, 2018, 3308, 7699, 28976, 2007, 1996, 27948, 3276, 2090, 12712, 1998, 1037, 1004, 1051, 1010, 2007, 12394, 1997, 1002, 1015, 1010, 4278, 1010, 2199, 1012, 1023, 1996, 2212, 3648, 4379, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2006, 1996, 17153, 20771, 11099, 4366, 1010, 4531, 2008, 13221, 2140, 2001, 21598, 2000, 15115, 2007, 1996, 3206, 1998, 3568, 1996, 4366, 3478, 2004, 1037, 3043, 1997, 2375, 1012, 2002, 2036, 6380, 15323, 2011, 12712, 2005, 3653, 9103, 2094, 21693, 4765, 3037, 1998, 2005, 2110, 2469, 3723, 1005, 1055, 4905, 1005, 1055, 9883, 1012, 4106, 1015, 1012, 8824, 5609, 2184, 2077, 6195, 1996, 5372, 5468, 1997, 12394, 1010, 2057, 27764, 1997, 12712, 1005, 1055, 4675, 25154, 2015, 1012, 3272, 2005, 1996, 4366, 2005, 3653, 9103, 2094, 21693, 4765, 3037, 2006, 1996, 3206, 12394, 1010, 3904, 1997, 2122, 4447, 2038, 7857, 1998, 2057, 21358, 27972, 1996, 2212, 2457, 1012, 2340, 12712, 1005, 1055, 2034, 4366, 2003, 2008, 1996, 3648, 2323, 2025, 2031, 4379, 1037, 2856, 14392, 2000, 1996, 23953, 2021, 2323, 2031, 7864, 2049, 9714, 4366, 2000, 1996, 6467, 1012, 2057, 3319, 2023, 3247, 2139, 24576, 1012, 5271, 2063, 1058, 1012, 21025, 10322, 1010, 6356, 2487, 1042, 1012, 14134, 6486, 2575, 1006, 5504, 25022, 2099, 1012, 3118, 1007, 1012, 2260, 3322, 1010, 2057, 3602, 2008, 2212, 5434, 1010, 1999, 2236, 1010, 2323, 2022, 11542, 2000, 6366, 2019, 3277, 2013, 1996, 6467, 1012, 6600, 1010, 2073, 2045, 2003, 2025, 6937, 3350, 2000, 2490, 1996, 14392, 1010, 1037, 2856, 14392, 2030, 1010, 14084, 1010, 1037, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2003, 6413, 1012, 2156, 8909, 1012, 2012, 7706, 1025, 22209, 1058, 1012, 2221, 1997, 23624, 18790, 10085, 1010, 6584, 2475, 1042, 1012, 14134, 14378, 2475, 1010, 14378, 2629, 1006, 5504, 25022, 2099, 1012, 2960, 1007, 1025, 10184, 1058, 1012, 2670, 2737, 1010, 13710, 1057, 1012, 1055, 1012, 4700, 2575, 1010, 4185, 1055, 1012, 14931, 1012, 20666, 1010, 6070, 1048, 1012, 3968, 1012, 23688, 1006, 3826, 1007, 1012, 1000, 2035, 1996, 3350, 1010, 2579, 2004, 1037, 2878, 1010, 2442, 2022, 7021, 1999, 1996, 2422, 2087, 11119, 2000, 1996, 2512, 1011, 3048, 2283, 1012, 2023, 3350, 2442, 3073, 1037, 7182, 3978, 2013, 2029, 1996, 6467, 2071, 2031, 16286, 2584, 1037, 14392, 2302, 12143, 2030, 5059, 29205, 28937, 2015, 2029, 4736, 2007, 1996, 6151, 2483, 29462, 8866, 1012, 1000, 5271, 2063, 1010, 6356, 2487, 1042, 1012, 14134, 2012, 7706, 1012, 1037, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2003, 6413, 2069, 2065, 2023, 2003, 2025, 1996, 2553, 1012, 2410, 12712, 1005, 1055, 9714, 4366, 2003, 2241, 2006, 1037, 2942, 3426, 1997, 2895, 4315, 14966, 2013, 1037, 4735, 9714, 11671, 1012, 15536, 2015, 1012, 28093, 1012, 10819, 1012, 15170, 1012, 5890, 1025, 10958, 20041, 1058, 1012, 29454, 2140, 1010, 6356, 15536, 2015, 1012, 14134, 23688, 1010, 22376, 1050, 1012, 1059, 1012, 14134, 2753, 2581, 1010, 4868, 2487, 1006, 3299, 1007, 1012, 2000, 5323, 2023, 4366, 1010, 12712, 2734, 2000, 6011, 2008, 13221, 2140, 9530, 13102, 27559, 2030, 6051, 1999, 4164, 2007, 2012, 2560, 2028, 2060, 3265, 2030, 9178, 2000, 2097, 7699, 1999, 25243, 12712, 1006, 2030, 2726, 12712, 1007, 1999, 2037, 5891, 2015, 2030, 5661, 1998, 2008, 4544, 4504, 1012, 8909, 1012, 2403, 12712, 1005, 1055, 6947, 16803, 4498, 2006, 25022, 11890, 18163, 5794, 20925, 3350, 2029, 2003, 7182, 2000, 6011, 1037, 4366, 1997, 9714, 1010, 21395, 1058, 1012, 17752, 2884, 1010, 18225, 15536, 2015, 1012, 5354, 1010, 12862, 1050, 1012, 1059, 1012, 6275, 2620, 1010, 6275, 2683, 1011, 3938, 1006, 4444, 1007, 1010, 2021, 2009, 2003, 9352, 15863, 2084, 3622, 3350, 1012, 1999, 5273, 1010, 2065, 25022, 11890, 18163, 5794, 20925, 3350, 6753, 5020, 28937, 2015, 1997, 26410, 2895, 1998, 22300, 2895, 1010, 2059, 1996, 4366, 1997, 9714, 2003, 2025, 10003, 1012, 2156, 8040, 26036, 2102, 1058, 1012, 17971, 1010, 24568, 15536, 2015, 1012, 19492, 1010, 18561, 1010, 2538, 1050, 1012, 1059, 1012, 14134, 24368, 1006, 3918, 1007, 1012, 2057, 2903, 2008, 2012, 2190, 2023, 2003, 1996, 2553, 2182, 1012, 2321, 12712, 1005, 1055, 4366, 16803, 2006, 7687, 2028, 3538, 1997, 3350, 1024, 1996, 18287, 1997, 12712, 2013, 2048, 2981, 12451, 8311, 1006, 1996, 1037, 1004, 1051, 3206, 1010, 1998, 1037, 3206, 2007, 9184, 1007, 2012, 2055, 1996, 2168, 2051, 1012, 12712, 4447, 2008, 2023, 5866, 25652, 10943, 2015, 2019, 28937, 1997, 4164, 2098, 2895, 1012, 2023, 3350, 2894, 1010, 2174, 1010, 2003, 2025, 7182, 2000, 2265, 2008, 1996, 9530, 13102, 7895, 6591, 6051, 2007, 1996, 3563, 1010, 24391, 3800, 1997, 22736, 1996, 20579, 1012, 2156, 10958, 20041, 1010, 6356, 15536, 2015, 1012, 14134, 2012, 22376, 1010, 22376, 1050, 1012, 1059, 1012, 14134, 2753, 2581, 1012, 1996, 12451, 3206, 2007, 9184, 2001, 2369, 6134, 1998, 1996, 3350, 3065, 2008, 9184, 2018, 2981, 4436, 2005, 23552, 2049, 3206, 2007, 12712, 1012, 1998, 2130, 2065, 9184, 6051, 24391, 2135, 1010, 2053, 3350, 2001, 3253, 2000, 2490, 1037, 4531, 1997, 3287, 6767, 22717, 2011, 13221, 2140, 1012, 2057, 2424, 1010, 1999, 3820, 2007, 1996, 2212, 2457, 1010, 2008, 1996, 3350, 1997, 1037, 9714, 11896, 2004, 1037, 3043, 1997, 2375, 1012, 1016, 2385, 12712, 1005, 1055, 2279, 4366, 2003, 2008, 1996, 2212, 3648, 9413, 5596, 1999, 15080, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2006, 1996, 4366, 2008, 13221, 2140, 17153, 20771, 2135, 28976, 2007, 1996, 12451, 3206, 2090, 1037, 1004, 1051, 1998, 12712, 1012, 5273, 14600, 1037, 3426, 1997, 2895, 2114, 2028, 2040, 1010, 2302, 14293, 2000, 2079, 2061, 1010, 19653, 2015, 1037, 2353, 2711, 2025, 2000, 4685, 1037, 3206, 2007, 2178, 1012, 7386, 2319, 1058, 1012, 13488, 10969, 1010, 12567, 15536, 2015, 1012, 14134, 4008, 2620, 1010, 29386, 1050, 1012, 1059, 1012, 14134, 5187, 2575, 1006, 14931, 1012, 10439, 1012, 3118, 1007, 1012, 1996, 5273, 5434, 2031, 4233, 1996, 2717, 3686, 3672, 1006, 2117, 1007, 1997, 17153, 3215, 2006, 17153, 20771, 11099, 2007, 8311, 1012, 4682, 4783, 1058, 1012, 2103, 5446, 2194, 1010, 5818, 15536, 2015, 1012, 14134, 2184, 1010, 2321, 1011, 2385, 1010, 21679, 1050, 1012, 1059, 1012, 14134, 2385, 1006, 14931, 1012, 10439, 1012, 3150, 1007, 1025, 2717, 3686, 3672, 1006, 2117, 1007, 1997, 17153, 3215, 10819, 2015, 1012, 6146, 2575, 1010, 6146, 2581, 1006, 3245, 1007, 1012, 2930, 6146, 2683, 1997, 1996, 2717, 3686, 3672, 15841, 1996, 3663, 2073, 1996, 3364, 2038, 1037, 3361 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2035, 11888, 11290, 7870, 3251, 1997, 11704, 1010, 7403, 1010, 8285, 5714, 23041, 2063, 2030, 16514, 4761, 13595, 5171, 2010, 3406, 9966, 3431, 2008, 4821, 2599, 2000, 10882, 12618, 6190, 1013, 25022, 12171, 25229, 1010, 1998, 1996, 9987, 19806, 1997, 8185, 1012, 11290, 25022, 12171, 25229, 2064, 5901, 21933, 8737, 6132, 3686, 1998, 2038, 1037, 2152, 13356, 3446, 1012, 5022, 2007, 25022, 12171, 25229, 9015, 2013, 1037, 16922, 2002, 24952, 2278, 3977, 2000, 18804, 14956, 4697, 1998, 24203, 2229, 4697, 8171, 1010, 25117, 2015, 1998, 20752, 1012, 1999, 2804, 1010, 14967, 1997, 10882, 12618, 6190, 1998, 19723, 24454, 5844, 7293, 16308, 3426, 2019, 3445, 21449, 13809, 3540, 10175, 5012, 2007, 9445, 23760, 29048, 1998, 2019, 3445, 2002, 24952, 2278, 2310, 18674, 3778, 17978, 1006, 1044, 2615, 26952, 1007, 1997, 1032, 1028, 2184, 3461, 1044, 2290, 1012, 9445, 23760, 29048, 2633, 5260, 2000, 2004, 17847, 2015, 1010, 1998, 21449, 24172, 2015, 2097, 4503, 2107, 2004, 9686, 7361, 3270, 3351, 2389, 13075, 23522, 1012, 2087, 5022, 6114, 2013, 25022, 12171, 25229, 2776, 3280, 2013, 12763, 2107, 2004, 17630, 17341, 2566, 9956, 3490, 7315, 1010, 13075, 6610, 2389, 9524, 1010, 11290, 4945, 2030, 2002, 4502, 3406, 16882, 2482, 21081, 2863, 1006, 16731, 2278, 1007, 1012, 2926, 29258, 11290, 25022, 12171, 25229, 2302, 6612, 5751, 2107, 2004, 6804, 11265, 5737, 1010, 4372, 3401, 21890, 4135, 20166, 1010, 25891, 21608, 1010, 2030, 2004, 17847, 2015, 2003, 3697, 2000, 22939, 26745, 3366, 1012, 2107, 5022, 4050, 2079, 2025, 2265, 3563, 8030, 1012, 2023, 2003, 2036, 2028, 2590, 3114, 2339, 2053, 9398, 1998, 10539, 20272, 2951, 2024, 2800, 2005, 25022, 12171, 25229, 2005, 2116, 3032, 1010, 2348, 25022, 12171, 25229, 2003, 1037, 2350, 13356, 3426, 1999, 2764, 3032, 2012, 1996, 2287, 1997, 2871, 1011, 1011, 3438, 2086, 1012, 2116, 5461, 2031, 2042, 10641, 1999, 1996, 2197, 5109, 2000, 3499, 2019, 2220, 1998, 10539, 11616, 1997, 25022, 12171, 25229, 1006, 2156, 1031, 3275, 1015, 1033, 1006, 1001, 20069, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2122, 2421, 2119, 17503, 2021, 2036, 2512, 2378, 12044, 3512, 8107, 1012, 11290, 16012, 18075, 2003, 2145, 2641, 1996, 2751, 3115, 2005, 20077, 2002, 24952, 2278, 25022, 12171, 25229, 1012, 2174, 1010, 2009, 2003, 2019, 17503, 7709, 1010, 2007, 4678, 2021, 9280, 2166, 1011, 8701, 12763, 1012, 1031, 1030, 29491, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 1999, 2804, 1010, 1996, 10640, 1997, 11290, 16012, 18075, 1999, 20077, 10882, 12618, 6190, 2003, 3132, 11427, 2000, 16227, 7561, 1006, 4285, 2039, 2000, 2382, 1003, 1007, 1998, 6970, 16429, 8043, 6299, 28436, 1012, 1031, 1030, 1038, 2475, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 1011, 1011, 1031, 1030, 1038, 2575, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 2060, 17503, 8853, 2107, 2004, 5001, 10464, 9363, 7685, 1998, 2203, 2891, 3597, 7685, 2024, 2025, 2200, 7591, 1012, 10655, 1010, 7511, 12126, 5461, 2107, 2004, 27312, 1010, 8060, 17011, 12126, 1006, 27011, 1007, 1998, 3274, 3419, 9888, 1006, 14931, 1007, 2024, 2512, 2378, 12044, 3512, 2021, 7619, 5751, 1997, 25022, 12171, 25229, 2107, 2004, 24172, 2015, 2030, 7293, 7934, 7814, 1997, 1996, 11290, 3302, 2024, 3223, 1010, 14259, 2122, 4725, 2738, 16021, 6132, 13043, 1012, 2116, 4073, 2031, 2042, 11241, 2000, 6709, 20194, 16387, 2008, 3499, 1996, 11616, 1997, 25022, 12171, 25229, 2013, 1037, 3722, 2668, 3231, 1012, 1031, 1030, 1038, 2581, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 6854, 1010, 2348, 16387, 2107, 2004, 20194, 8902, 20679, 2078, 2030, 1044, 21095, 21017, 8339, 11268, 12322, 22991, 2594, 4023, 1010, 2027, 2079, 2025, 2522, 14343, 13806, 2007, 1996, 7619, 3815, 1997, 8185, 14140, 1999, 1996, 11290, 1012, 11290, 25022, 12171, 25229, 2566, 7367, 5320, 1037, 5171, 27427, 18924, 1997, 1996, 11290, 2008, 2003, 2823, 4415, 14412, 4502, 3468, 1012, 1999, 2755, 1010, 14412, 24952, 2239, 1997, 1996, 11290, 2038, 2042, 2109, 2011, 11572, 2005, 4693, 2004, 1996, 2069, 9398, 19475, 3231, 2000, 22939, 26745, 3366, 25022, 12171, 25229, 1012, 2947, 1010, 2009, 2038, 2042, 1037, 3160, 1997, 2051, 2000, 4503, 12138, 3558, 4725, 2000, 5621, 24110, 27351, 11290, 10551, 2791, 1006, 1048, 2015, 1007, 1012, 1996, 2034, 2107, 3921, 2038, 2042, 5147, 3107, 2011, 5472, 6657, 1998, 11190, 2953, 11451, 1999, 2494, 1012, 1031, 1030, 1038, 2620, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 5564, 1010, 2116, 2913, 2006, 11888, 11290, 7870, 2031, 10003, 2008, 10903, 1997, 1048, 2015, 2003, 1037, 5915, 1998, 6581, 11326, 3231, 2005, 11290, 25022, 12171, 25229, 1012, 4522, 8107, 2024, 2747, 10641, 2593, 2241, 2006, 6637, 27312, 2030, 27011, 4725, 1010, 1998, 1996, 2925, 2097, 2265, 2029, 6028, 2097, 3653, 3567, 4014, 1999, 2029, 6612, 4292, 1012, 2006, 1996, 2060, 2192, 1010, 1048, 2015, 2038, 2042, 3107, 2000, 1996, 2492, 1997, 2002, 4502, 23479, 2004, 1037, 3117, 7863, 3558, 16381, 2008, 2064, 2022, 2628, 2039, 2004, 4102, 2000, 1010, 2005, 2742, 1010, 4860, 1012, 2066, 2303, 4860, 1010, 2057, 2031, 20215, 1999, 1037, 2738, 2460, 2051, 2008, 1048, 2015, 2003, 2025, 2069, 4340, 2011, 1996, 3014, 1997, 10882, 12618, 6190, 2021, 2036, 2060, 6612, 10906, 2107, 2004, 21733, 1010, 16480, 4244, 10230, 2483, 1998, 11290, 20176, 2015, 1012, 2023, 3319, 1010, 3568, 1010, 2003, 2881, 2000, 4780, 10651, 1996, 8068, 2006, 1996, 2556, 3716, 1997, 1048, 2015, 1012, 2044, 2019, 19184, 2055, 4087, 5919, 1998, 4522, 4725, 1010, 3937, 3785, 2024, 6936, 2008, 3747, 1048, 2015, 1012, 13792, 2024, 3591, 2006, 2129, 2000, 2224, 1048, 2015, 5300, 1999, 6612, 6078, 1010, 2000, 5136, 6770, 28067, 1012, 1999, 2804, 1010, 1996, 3117, 3778, 1011, 1011, 10551, 2791, 1011, 1011, 10882, 12618, 6190, 5537, 10744, 2003, 3107, 1998, 4780, 6936, 2008, 2071, 23216, 1996, 11806, 3945, 2000, 6709, 1996, 8382, 10595, 10318, 11290, 10882, 12618, 6190, 1012, 2633, 1010, 2330, 1048, 2015, 1011, 3141, 3980, 2024, 4225, 2008, 2323, 2022, 8280, 2011, 2925, 6612, 1998, 3937, 2470, 2913, 1012, 4130, 7361, 10536, 20763, 6483, 1997, 11290, 10551, 2791, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 11290, 10551, 2791, 1011, 1011, 6210, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2183, 2083, 1996, 3399, 1997, 21274, 3012, 2003, 2521, 3458, 1996, 9531, 1997, 2023, 3319, 1012, 2174, 2070, 3937, 21951, 2024, 6179, 2000, 2488, 3305, 2054, 10551, 2791, 2965, 1012, 2013, 1037, 3558, 1998, 6228, 2391, 1997, 3193, 1010, 10551, 2791, 2064, 2022, 4225, 2004, 1996, 16913, 11627, 1997, 21274, 3012, 2030, 2402, 1005, 1055, 16913, 11627, 1006, 1041, 1007, 1012, 8103, 2063, 1005, 1055, 2375, 1997, 21274, 3012, 2003, 2019, 20167, 2008, 2163, 2008, 1996, 5331, 1997, 1037, 3430, 2003, 3495, 14267, 2000, 1996, 4162, 6911, 1010, 1173, 1027, 1041, 29275, 1010, 2073, 1173, 2003, 1996, 6911, 4162, 2000, 1996, 3430, 1010, 1998, 1115, 2003, 1996, 10178, 10572, 1999, 1996, 3430, 1012, 10551, 2791, 1006, 1041, 1007, 2003, 5228, 1999, 11382, 4135, 19707, 9289, 2015, 1006, 1047, 4502, 1007, 1998, 5836, 1996, 5012, 1997, 3430, 2000, 29130, 1012, 2096, 10551, 4475, 1010, 2107, 2004, 5509, 1010, 8327, 2659, 10178, 2130, 2012, 2152, 6911, 1010, 3730, 4475, 2107, 2004, 6897, 3730, 14095, 8327, 2312, 10178, 2130, 2012, 2659, 6911, 1012, 1048, 2015, 1010, 2066, 2151, 2060, 3730, 8153, 10551, 2791, 1010, 9041, 2006, 2116, 5876, 1012, 1996, 2034, 1998, 2364, 5387, 2003, 1996, 4469, 16882, 8185, 1997, 1996, 5812, 1012, 1996, 4469, 16882, 8185, 2003, 1037, 13366, 2953, 24088, 3252, 2008, 15210, 1996, 6327, 2749, 2083, 1996, 11290, 1012, 2009, 2064, 2022, 4102, 2000, 1996, 3192, 1997, 1037, 2311, 1012, 1037, 2117, 5387, 2003, 1996, 14679, 2008, 2024, 4162, 2006, 1996, 5812, 1012, 1996, 2062, 3778, 2008, 2003, 4162, 2000, 1996, 11290, 2012, 2049, 7372, 1010, 1996, 10551, 2121, 2009, 4152, 1012, 1037, 2353, 5387, 2003, 1996, 4722, 3778, 2503, 1996, 5812, 1011, 1011, 2065, 2668, 1010, 2030, 2178, 6381, 2003, 2746, 1999, 1998, 2041, 1010, 2059, 10551, 2791, 2097, 12530, 2006, 1996, 5012, 2008, 1996, 5812, 12033, 2000, 1996, 4834, 1012, 1037, 2959, 1998, 2590, 5387, 2003, 1996, 25292, 27199, 3896, 2029, 3747, 1996, 2051, 5377, 2058, 2029, 10551, 2791, 2003, 7718, 1012, 2023, 3466, 2003, 5799, 2000, 6075, 1010, 29464, 1010, 10551, 2791, 9041, 2006, 6075, 1012, 2096, 11290, 2003, 3730, 2012, 2200, 2659, 6075, 1006, 2006, 1996, 2344, 1997, 2195, 2014, 5753, 1007, 2029, 14788, 2000, 6410, 14412, 24952, 2239, 2051, 1011, 5377, 1010, 2009, 12102, 2000, 2022, 2172, 6211, 2012, 2152, 13139, 1006, 2058, 2195, 15295, 1997, 11382, 24729, 8743, 2480, 1007, 1012, 10903, 1997, 11290, 10551, 2791, 2478, 25354, 3449, 14083, 9888, 1006, 10882, 12618, 29378, 29656, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 10882, 12618, 29378, 29656, 1006, 1042, 2015, 1007, 1006, 9052, 5054, 2015, 1010, 3000, 1010, 2605, 1007, 5080, 2003, 1996, 2034, 3449, 14083, 9888, 6028, 2764, 2000, 20155, 2135, 1998, 2512, 2378, 12044, 14547, 14358, 3730, 6897, 8153, 10551, 2791, 1008, 1999, 24269, 1008, 1012, 11290, 2001, 1037, 3019, 2034, 5812, 2000, 2817, 2349, 2000, 2049, 2946, 1998, 2738, 24004, 6914, 3560, 14902, 1012, 1031, 1030, 1038, 2620, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 1999, 6958, 1010, 18330, 5975, 2024, 7013, 2083, 1996, 11290, 1998, 1048, 2015, 2003, 2139, 28901, 2013, 2037, 10146, 1012, 1042, 2015, 3594, 1996, 6028, 2170, 25354, 3449, 14083, 9888, 1006, 8915, 1007, 2030, 17880, 1011, 4758, 25354, 3449, 14083, 9888, 1006, 18315, 2618, 30108, 1007, 1012, 2009, 2003, 2241, 2006, 1996, 4758, 4245, 1997, 1037, 25354, 18330, 4400, 2478, 1037, 14262, 6767, 1011, 4758, 17880, 1997, 2124, 6075, 1998, 22261, 1012, 1048, 2015, 2003, 24806, 2013, 1996, 10146, 1997, 2122, 6228, 5975, 2478, 1996, 2206, 8522, 1024, 1041, 1027, 1017, 1171, 1058, 1055, 1016, 2073, 1041, 2003, 1996, 2402, 1005, 1055, 16913, 11627, 2030, 10551, 2791, 1010, 1171, 2003, 1996, 4304, 1010, 1998, 1058, 1008, 1066, 1055, 1066, 1008, 1996, 18330, 10146, 1012, 1996, 18330, 10146, 7594, 2011, 18315, 2618, 30108, 2003, 1037, 2177, 10146, 2105, 2753, 22100, 1012, 6263, 1998, 4555, 10551, 2791, 5300, 2008, 2064, 2022, 7594, 2011, 1042, 2015, 2024, 1015, 1012, 1019, 1047, 4502, 1998, 4293, 1012, 1014, 1047, 4502, 4414, 1012, 10892, 1010, 1042, 2015, 3774, 1999, 1037, 4056, 7654, 4132, 2008, 2950, 1037, 2309, 3149, 27312, 11698, 2392, 2203, 2000, 12495, 2102, 1998, 4374, 27312, 7755, 1010, 1998, 1037, 14262, 6767, 1011, 4758, 6819, 10024, 4263, 2005, 1996, 18330, 4400, 4245, 1012, 1996, 15113, 2993, 3397, 1037, 12138, 6819, 10024, 4263, 2006, 1996, 8123, 1997, 2029, 1037, 2309, 5783, 27312, 9099, 8566, 17119, 2003, 5614, 1012, 2004, 3491, 1999, 1031, 3275, 1016, 1033, 1006, 1001, 1042, 2475, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1010, 1996, 17880, 3774, 1997, 1037, 8254, 26658, 3593, 2558, 2007, 1037, 2415, 6075, 1997, 2753, 22100, 1012, 2049, 22261, 9041, 2006, 1996, 15113, 2944, 1024, 1016, 3461, 4672, 1011, 2000, 1011, 4672, 1006, 4903, 1007, 2007, 1996, 3115, 15113, 1006, 2944, 1049, 1007, 1010, 1015, 3461, 4903, 2007, 1996, 23614, 15113, 1006, 2944, 1055, 1007, 1010, 1998, 1017, 3461, 4903, 2007, 1996, 15578, 3366, 5022, 4056, 15113, 1006, 2944, 28712, 1007, 1012, 1996, 18330, 4400, 20594, 2003, 17785, 2478, 11087, 24333, 27312, 19530, 1012, 1999, 1996, 3115, 7749, 8853, 1010, 1048, 2015, 11702, 2478, 1042, 2015, 2024, 2864, 2006, 1996, 2157, 21833, 1997, 1996, 11290, 1999, 6970, 13186, 9080, 2597, 1006, 2156, 1031, 3275, 1017, 1033, 1006, 1001, 1042, 2509, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2023, 16263, 3622, 13379, 1997, 1996, 11290, 2008, 2052, 2776, 7461, 1048, 2015, 5300, 1012, 1996, 5776, 2003, 4688, 2006, 2010, 2067 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1996, 6547, 1997, 1999, 18515, 18518, 2011, 15963, 1037, 1012, 7570, 24038, 2006, 2238, 2184, 1010, 2889, 1010, 1037, 3104, 2466, 2596, 1999, 2051, 2932, 2006, 1996, 8476, 1997, 4763, 1012, 1996, 3166, 1010, 9993, 19084, 1010, 2106, 2025, 7475, 2005, 1037, 3327, 9459, 1998, 2106, 2025, 3362, 2151, 15306, 1012, 2054, 2002, 2106, 1010, 2174, 1010, 2001, 1999, 1037, 3168, 2062, 2590, 1012, 2002, 2211, 2011, 5517, 2093, 14848, 2015, 1024, 2643, 2003, 2035, 1011, 3928, 1012, 2643, 2003, 2035, 1011, 2204, 1012, 6659, 2477, 4148, 1012, 8951, 2195, 4216, 1010, 19084, 2056, 2008, 2017, 2064, 2674, 2151, 2048, 1997, 2122, 14848, 2015, 1010, 2021, 2025, 2035, 2093, 1012, 2017, 2064, 13520, 2008, 2045, 2003, 2019, 2035, 1011, 3928, 2643, 2040, 4473, 6659, 2477, 2000, 4148, 1010, 2021, 2023, 2643, 2071, 2025, 2022, 2035, 1011, 2204, 1012, 2006, 1996, 2060, 2192, 1010, 2045, 2453, 2022, 2019, 2035, 1011, 2204, 2643, 2040, 11082, 6659, 2477, 4148, 2138, 2002, 2515, 2025, 2031, 1996, 2373, 2000, 2644, 2068, 1025, 2947, 2002, 2003, 2025, 2035, 1011, 3928, 1012, 2023, 4106, 2453, 4089, 2031, 2042, 3090, 2011, 1037, 1043, 28199, 1997, 1996, 2034, 2093, 2030, 2176, 4693, 1997, 1996, 3017, 3690, 1010, 2030, 2005, 2008, 3043, 2011, 1037, 3824, 1043, 28199, 1010, 2107, 2004, 1996, 2556, 3213, 1012, 2025, 2008, 1043, 28199, 2015, 2020, 1996, 2069, 3924, 2040, 3858, 2023, 20640, 18847, 10760, 6553, 3653, 14808, 24996, 1012, 1996, 4259, 5781, 11320, 22311, 2854, 1997, 3234, 8006, 1010, 2358, 1012, 2726, 1037, 12519, 3022, 1010, 4914, 1999, 2010, 7680, 2863, 14833, 21197, 19001, 2008, 1996, 4598, 1997, 4763, 2003, 1996, 2190, 6685, 2114, 1996, 4598, 1997, 2643, 1012, 2065, 1996, 4145, 1997, 1996, 18847, 10760, 6553, 2643, 2003, 2000, 2022, 3970, 1010, 2059, 1996, 3277, 1997, 4763, 2038, 2053, 14874, 7526, 1012, 18868, 1010, 2065, 4763, 6526, 1010, 2059, 1996, 18847, 10760, 6553, 2643, 2004, 3591, 2011, 1996, 7731, 3412, 7443, 3685, 4839, 1012, 2043, 3401, 15699, 2232, 4763, 1029, 2802, 2381, 1010, 3412, 7443, 2031, 14729, 2005, 1996, 4598, 1997, 4763, 1999, 1037, 2193, 1997, 3971, 1012, 1999, 3539, 10175, 2335, 1010, 1996, 6151, 13355, 7869, 16778, 4383, 3267, 1997, 2529, 8298, 3039, 2111, 2000, 2360, 2008, 2119, 2204, 1998, 2919, 2272, 2013, 1996, 7746, 1012, 2947, 19261, 23610, 2015, 2052, 2025, 2031, 2179, 2009, 3697, 2000, 2360, 2008, 2204, 1998, 4763, 2024, 4716, 2588, 2529, 9552, 2011, 1996, 2307, 4382, 1012, 1999, 1996, 2062, 12138, 6123, 1997, 7680, 10624, 1011, 26990, 7443, 1010, 2009, 2001, 3373, 2008, 1996, 5932, 11770, 3209, 2011, 4526, 6659, 2477, 11576, 4509, 9552, 1010, 4763, 7942, 1010, 1998, 9202, 3785, 2005, 2529, 2166, 1012, 2000, 12666, 1037, 18224, 24158, 29469, 9289, 11581, 2063, 1010, 2028, 2453, 2360, 2008, 2043, 2111, 2106, 2025, 2664, 10295, 1037, 24374, 8298, 1006, 2029, 2057, 2089, 1041, 16211, 2618, 2007, 1996, 9715, 13059, 1007, 1010, 2009, 2001, 4659, 3733, 2005, 2068, 2000, 4372, 17084, 2643, 2030, 1996, 5932, 2004, 2108, 2066, 3209, 1010, 2061, 2008, 1996, 16507, 1997, 2204, 1998, 4763, 2001, 2112, 1997, 2037, 3267, 1012, 2062, 3935, 6259, 7443, 2031, 7900, 2070, 1997, 2023, 7729, 1025, 2947, 1999, 17529, 3644, 8006, 2057, 2424, 1996, 9366, 2008, 2643, 2112, 20060, 1997, 2119, 2204, 1998, 4763, 20074, 1006, 2664, 5831, 20026, 1007, 1012, 2007, 1996, 3930, 1997, 8298, 1010, 1996, 2568, 4269, 2000, 21032, 2090, 1996, 3841, 12879, 6610, 3372, 1998, 1996, 3287, 8873, 2278, 3903, 1997, 2108, 1012, 1996, 6980, 10572, 2011, 2667, 2000, 2907, 1037, 2643, 4145, 2008, 15908, 2015, 2204, 1998, 4763, 4150, 24257, 1010, 2061, 2008, 2009, 4150, 4072, 2005, 1996, 2568, 2000, 3584, 1996, 2048, 1012, 1996, 9366, 1997, 7490, 7037, 2964, 2947, 18653, 1012, 1996, 2087, 4069, 2742, 2003, 2008, 1997, 1062, 14604, 14083, 6862, 2964, 1012, 2182, 1996, 2995, 1998, 2204, 2643, 1010, 6289, 4648, 25286, 1006, 2823, 2170, 2030, 2863, 26494, 1007, 1010, 14882, 1037, 7746, 17379, 2124, 2004, 17076, 2527, 2364, 10513, 1006, 6289, 20026, 2319, 1007, 1012, 1996, 2048, 2024, 5117, 1999, 1037, 14638, 14448, 5998, 2005, 22006, 1012, 2348, 6289, 4648, 25286, 2003, 4259, 1998, 2010, 7209, 3377, 2003, 8916, 1010, 2004, 2146, 2004, 4325, 18094, 2015, 17076, 2527, 2364, 10513, 2097, 3613, 2000, 2954, 2032, 1998, 3288, 6114, 2046, 1996, 2088, 1012, 1037, 12138, 2021, 2200, 17727, 18617, 2389, 3193, 1997, 4763, 1998, 2049, 7321, 2064, 2022, 2179, 1999, 1996, 2307, 11822, 2008, 7940, 1999, 2634, 1012, 2087, 1997, 2122, 19515, 2008, 4763, 2003, 2112, 1997, 1996, 16655, 20554, 18743, 6675, 2110, 1997, 4598, 1010, 1998, 2008, 1996, 3426, 1997, 4763, 2003, 18173, 1006, 18568, 3148, 1007, 1012, 2065, 2028, 18759, 2015, 2000, 1037, 8590, 2030, 4372, 7138, 6675, 8298, 1998, 2947, 9466, 2682, 2035, 7037, 6447, 1010, 2028, 2003, 19553, 2013, 19902, 1998, 2013, 2035, 2060, 3785, 1999, 2029, 4763, 3248, 1037, 2535, 1012, 3251, 2107, 7931, 21268, 5260, 2000, 1996, 8292, 11488, 3508, 1997, 27523, 12789, 2618, 4598, 2003, 2025, 2467, 3154, 1010, 2021, 2009, 2003, 3154, 2008, 2166, 2004, 2028, 2038, 2124, 2009, 13236, 2015, 1010, 1998, 2007, 2009, 4763, 13236, 2015, 2036, 1012, 1996, 2959, 4696, 2003, 2008, 1997, 4556, 18847, 10760, 2964, 2004, 2179, 1999, 7731, 13725, 1998, 7988, 1012, 2004, 2070, 1997, 1996, 2060, 7443, 2004, 26775, 20755, 1996, 4598, 1997, 4763, 2000, 2643, 1010, 1037, 16007, 16206, 4675, 1011, 2643, 1010, 2030, 2529, 18173, 1010, 2023, 2597, 2004, 26775, 20755, 2015, 1996, 4761, 1997, 4763, 2000, 2529, 8254, 1012, 1996, 4325, 10661, 1997, 1996, 7731, 12582, 2080, 1011, 3017, 4535, 1010, 2007, 2049, 2466, 1997, 1996, 3871, 1997, 10267, 1998, 1997, 1996, 8025, 2824, 2008, 2024, 2056, 2000, 2031, 9099, 21649, 2045, 1010, 3596, 1996, 3192, 2005, 2023, 3193, 1012, 2023, 6772, 4324, 2008, 1996, 9099, 17603, 28231, 2015, 5462, 2011, 1996, 2034, 2529, 3940, 2716, 2055, 1037, 1000, 2991, 1000, 1997, 4325, 1010, 4525, 1999, 1996, 2556, 2110, 1997, 1996, 2088, 1012, 1996, 8254, 1997, 1996, 2434, 3940, 2979, 2011, 12839, 2000, 2035, 2372, 1997, 1996, 2529, 2679, 1010, 2040, 2024, 2141, 13593, 1010, 21358, 29301, 2098, 2011, 1996, 3635, 1997, 2023, 1000, 2434, 8254, 1012, 1000, 2107, 4763, 2015, 2004, 2057, 2424, 1999, 2023, 2088, 1010, 2164, 3019, 18665, 1010, 11629, 2015, 1010, 1998, 1996, 18101, 2791, 1997, 1996, 2833, 4677, 1010, 2024, 2035, 5064, 2112, 1997, 1996, 2617, 3560, 8465, 1997, 1996, 2991, 1012, 2004, 2070, 5784, 1010, 5546, 15263, 3931, 4877, 1010, 2031, 4197, 2041, 1010, 2122, 10661, 12898, 3351, 5244, 21268, 6912, 1037, 13769, 3747, 2006, 1996, 8578, 2631, 2006, 2068, 1012, 2130, 1999, 1037, 10644, 3550, 2287, 2066, 2256, 2219, 1010, 1996, 3928, 5192, 1997, 2107, 9029, 4247, 2000, 3459, 1037, 14412, 2140, 2006, 2256, 9273, 1012, 2028, 2089, 4687, 2129, 11543, 2256, 2381, 2052, 2031, 8979, 2018, 1996, 8056, 1997, 1996, 2991, 2025, 2042, 2556, 2000, 6728, 20110, 1996, 9293, 1997, 2273, 1998, 2308, 1999, 2256, 3226, 999, 1996, 1043, 28199, 3193, 2035, 6259, 7443, 13399, 2008, 1996, 2088, 2003, 29238, 1025, 2027, 11234, 2069, 1999, 2129, 2027, 2903, 2023, 3047, 1998, 1999, 2054, 2003, 2000, 2022, 2589, 2055, 2009, 1012, 1043, 28199, 2015, 2031, 2467, 2018, 2037, 2219, 5328, 1997, 2122, 5609, 1012, 2027, 2907, 2008, 1996, 2088, 2003, 25077, 2025, 2138, 1997, 2529, 8254, 1010, 2021, 2138, 2009, 2001, 2580, 1999, 1037, 25077, 5450, 1012, 11388, 1006, 5240, 2011, 2116, 5784, 2004, 1996, 1043, 28199, 2964, 1997, 4021, 1007, 4269, 2007, 1996, 5038, 2008, 29520, 2166, 2003, 3561, 2007, 6114, 1012, 1043, 28199, 2015, 1010, 2119, 3418, 1998, 2715, 1010, 5993, 1012, 6114, 2003, 5262, 1996, 25953, 4818, 24491, 1997, 4763, 1999, 1996, 2088, 1012, 2348, 4286, 1010, 2007, 2037, 3375, 16127, 1998, 6825, 1010, 2024, 3395, 2000, 21741, 2015, 1997, 1037, 13048, 2135, 15514, 3267, 1010, 1996, 3571, 1010, 3255, 1010, 1998, 14624, 1997, 2035, 2060, 7329, 2003, 10358, 2004, 2092, 1012, 2000, 9131, 2358, 1012, 2703, 1005, 1055, 12369, 1010, 2035, 4325, 27778, 1998, 19817, 12462, 12146, 1999, 3255, 1012, 2664, 1043, 28199, 2015, 2031, 2025, 2042, 13050, 2000, 17961, 2107, 28616, 13028, 26639, 2000, 1996, 8254, 1997, 1996, 2034, 2529, 3940, 1012, 2027, 24557, 2008, 2009, 3084, 2172, 2062, 3168, 2000, 2360, 2008, 1996, 2088, 2038, 2025, 5357, 2021, 2001, 2081, 1999, 1037, 13718, 29238, 5450, 2000, 4088, 2007, 1012, 2000, 2404, 2009, 1999, 3621, 2062, 10061, 3408, 1010, 4763, 2003, 2112, 1997, 1996, 8313, 1997, 1996, 2088, 2057, 2444, 1999, 1025, 2009, 2003, 2112, 1998, 20463, 1997, 1996, 25953, 4818, 4507, 1997, 29520, 2166, 1012, 2065, 5262, 2045, 2003, 1037, 8543, 1997, 2023, 4507, 1010, 2059, 2009, 2003, 8916, 2135, 2023, 8543, 2040, 2003, 3625, 2005, 1996, 4763, 1999, 2009, 1012, 2144, 1010, 2005, 1996, 18847, 10760, 6553, 11822, 1010, 2023, 8543, 2003, 2643, 1010, 1996, 1043, 28199, 2597, 3544, 1038, 8523, 8458, 6633, 3560, 2000, 7511, 20373, 1010, 1998, 2003, 2411, 7021, 2007, 20006, 2130, 2011, 2216, 2040, 5136, 3209, 4895, 8671, 2666, 14028, 1012, 1996, 1043, 28199, 2597, 2089, 2342, 2000, 2022, 2641, 1999, 1996, 2422, 1997, 1996, 3439, 6147, 1997, 1996, 4535, 1012, 2429, 2000, 2087, 3824, 5784, 1010, 1043, 28199, 2964, 7940, 1999, 1996, 3644, 3412, 8185, 1006, 2763, 1999, 2049, 21770, 10624, 3527, 2595, 24491, 2015, 1007, 1998, 2059, 2234, 2000, 9698, 2993, 2007, 1996, 3644, 28354, 2008, 2150, 7988, 1012, 2947, 1996, 1043, 28199, 2015, 2020, 12892, 2007, 1996, 3746, 1997, 1996, 18847, 10760, 6553, 2643, 1999, 1996, 2214, 9025, 1998, 2049, 17241, 1999, 1996, 2047, 9025, 1012, 2027, 4320, 1037, 2643, 2040, 2001, 2411, 6178, 7277, 6313, 1010, 14532, 3993, 1010, 2310, 15465, 3993, 1010, 1998, 4895, 29427, 1012, 2009, 2001, 3733, 2005, 2068, 2000, 16519, 2008, 2023, 25077, 2643, 2453, 2031, 2580, 1037, 2088, 1999, 2010, 2219, 25077, 3746, 1012, 1996, 4602, 1997, 2035, 3980, 1996, 1043, 28199, 2015, 2356, 2001, 2023, 1024, 2003, 2023, 25077, 8543, 5621, 1996, 7209, 1010, 2995, 1010, 1998, 2204, 2643, 1029, 2030, 2003, 2002, 1037, 8276, 12764, 1010, 2040, 2003, 2593, 21591, 1997, 1037, 3618, 2373, 3458, 2370, 2030, 2003, 1037, 9715, 17727, 14122, 2953, 1010, 12098, 3217, 16961, 2000, 2370, 1996, 2597, 1997, 1996, 5415, 12764, 1029, 1996, 1043, 28199, 2015, 4660, 2122, 3980, 2011, 3038, 2023, 8543, 2003, 5525, 2025, 1996, 2995, 1010, 7209, 2643, 1010, 2021, 2738, 1037, 27668, 12514, 2891, 1006, 1000, 26286, 1000, 1007, 1010, 2019, 7783, 1010, 3905, 12764, 1012, 2023, 27668, 12514, 2063, 3183, 2027, 1041, 16211, 3064, 2007, 1996, 12764, 1997, 1996, 2214, 9025, 2001, 1996, 4761, 8844, 1997, 4763, 1998, 29238, 3258, 1999, 1996, 2088, 1012, 2947, 1996, 6835, 1038, 8523, 8458, 26662, 1997, 2012, 18886, 8569, 3436, 1996, 2088, 1005, 1055, 4763, 2000, 1996, 8543, 2003, 3936, 2004, 14802, 1999, 1996, 1043, 28199, 2015, 1005, 13111, 2007, 1996, 18847, 10760, 6553, 2643, 1012, 2785, 5596, 5750, 1010, 2107, 2004, 2014, 11368, 28775, 6491, 1010, 2106, 2025, 2227, 2023, 3653, 14808, 24996, 1024, 2108, 14318, 2015, 1010, 1996, 2014, 11368, 28775, 12837, 2106, 2025, 22490, 1996, 2601, 1010, 2572, 5638, 24879, 3275, 1997, 1996, 2214, 9025, 2643, 1010, 2061, 2027, 2020, 2583, 2000, 11092, 1037, 2625, 8401, 2597, 1012, 1006, 18527, 1010, 2651, 2116, 2111, 7166, 2000, 5684, 2014, 11368, 28775, 6491, 2058, 1043, 28199, 2964, 2005, 2023, 2200, 3114, 1012, 1007, 2116, 2031, 2699, 2000, 26399, 5038, 1997, 2023, 25077, 4325, 1998, 2049, 25077, 8543, 1010, 2021, 3904, 1997, 2037, 9918, 2031, 7622, 1043, 28199, 2015, 1012, 1996, 3418, 13176, 1010, 2926, 1996, 18858, 26942, 2015, 1010, 9449, 2111, 2000, 2298, 2000, 1996, 9396, 1997, 1996, 5304, 1010, 2061, 2008, 2011, 2310, 3678, 5844, 2049, 9026, 3126, 2027, 2453, 5293, 2037, 2219, 21358, 29301, 8496, 2004, 2092, 2004, 1996, 7601, 17897, 16670, 27707, 5134, 1997, 6623, 2166, 1012, 1000, 2298, 2012, 2023, 3376, 2088, 1024, 1005, 2027, 2056, 1025, 1000, 2156, 2049, 21688, 2135, 23589, 2126, 1997, 12285, 1998, 2566, 22327, 24133, 2993, 1010, 2129, 2064, 2028, 2655, 2242, 2061, 3376, 1998, 25546, 6313, 2019, 4763, 2518, 1029, 1000, 2000, 2029, 1043, 28199, 2015, 2031, 2467, 4660, 2008, 2144, 1996, 21407, 1010, 2005, 10626, 10087, 4757, 1010, 1998, 7344, 3370, 1997, 4598, 2024, 2036, 6151, 19825, 3468, 1010, 1996, 9396, 1998, 2344, 1997, 1996, 5304, 2024, 2012, 2190, 2069, 7704, 1012, 2216, 5105, 2011, 2789, 21244, 2031, 2012, 2335, 2716, 2039, 1996, 4252, 1997, 19902, 13557, 2028, 1005, 1055, 28616, 26095, 5104, 9699, 28616, 13028, 9816, 2101, 1999, 2166, 2030, 2130, 1999, 2178, 2166, 2004, 9990, 1996, 29238, 3258, 1997, 1996, 19676, 2088 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1055, 1996, 1038, 1005, 16215, 2744, 1997, 1011, 25371, 2683, 2575, 2487, 1010, 1011, 5139, 2581, 2683, 23833, 1010, 1011, 6445, 15136, 2683, 2629, 1010, 1011, 11518, 27814, 2575, 2620, 1029, 1011, 1016, 1008, 1038, 1008, 1008, 1016, 1011, 25371, 2683, 28154, 1008, 1038, 2054, 2003, 1996, 1044, 1005, 16215, 2744, 1997, 1011, 4720, 2620, 17134, 1010, 1011, 4720, 2620, 16068, 1010, 1011, 4720, 2620, 16576, 1029, 1011, 1016, 1008, 1044, 1011, 4720, 2620, 14526, 2054, 2003, 1996, 1062, 1005, 16215, 2744, 1997, 12457, 1010, 27234, 1010, 6163, 2475, 1010, 10630, 2620, 1010, 16890, 1029, 6353, 1008, 1062, 1008, 1008, 1016, 1009, 1017, 1008, 1062, 1009, 4413, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 1011, 1021, 1010, 1011, 2385, 1010, 1011, 4601, 1010, 1011, 6070, 1010, 1011, 17867, 1010, 1011, 24231, 1010, 1011, 29403, 1029, 1011, 1039, 1008, 1008, 1017, 1011, 1016, 1008, 1039, 1008, 1008, 1016, 1009, 1018, 1008, 1039, 1011, 1022, 2054, 2003, 1996, 1046, 1005, 16215, 2744, 1997, 1011, 22898, 1010, 1011, 5824, 2509, 1010, 1011, 13285, 2575, 1010, 1011, 16785, 2487, 1010, 1011, 19936, 2620, 1010, 1011, 21950, 2581, 1010, 1011, 17196, 2620, 1029, 1011, 1046, 1008, 1008, 1016, 1011, 4805, 2620, 1008, 1046, 1009, 20335, 2054, 2003, 1996, 1052, 1005, 16215, 2744, 1997, 1011, 19652, 2509, 1010, 1011, 4724, 22394, 1010, 1011, 6079, 22394, 1010, 1011, 6564, 22275, 1010, 1011, 12963, 2683, 2509, 1029, 1011, 9475, 1008, 1052, 1008, 1008, 1016, 1011, 27054, 2509, 2054, 2003, 1996, 1059, 1005, 16215, 2744, 1997, 1011, 3486, 2620, 1010, 1011, 15471, 2509, 1010, 1011, 27003, 2475, 1010, 1011, 5179, 2581, 2487, 1010, 1011, 6070, 20842, 1010, 1011, 11899, 22394, 1010, 1011, 24440, 2620, 1010, 1011, 22777, 22610, 1029, 1011, 1059, 1008, 1008, 1017, 1011, 28474, 1008, 1059, 1008, 1008, 1016, 1009, 1019, 1008, 1059, 1011, 2340, 2054, 2003, 1996, 1045, 1005, 16215, 2744, 1997, 6227, 2683, 1010, 6205, 2475, 1010, 6564, 2581, 1010, 6275, 2475, 1010, 4185, 2629, 1010, 4008, 2549, 1010, 16785, 1029, 1011, 1016, 1008, 1045, 1008, 1008, 1017, 1011, 1016, 1008, 1045, 1008, 1008, 1016, 1009, 1017, 1008, 1045, 1009, 29359, 2054, 2003, 1996, 1055, 1005, 16215, 2744, 1997, 1011, 28941, 23352, 1010, 1011, 6282, 24087, 2487, 1010, 1011, 13092, 16703, 2581, 1010, 1011, 17867, 10790, 2509, 1010, 1011, 18540, 2620, 2581, 2683, 1029, 1011, 28941, 2581, 2575, 1008, 1055, 1009, 1015, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 1011, 1016, 1010, 1011, 2753, 1010, 1011, 12457, 1010, 1011, 19955, 1010, 1011, 17222, 1010, 1011, 28048, 1029, 1011, 1022, 1008, 1061, 1008, 1008, 1016, 1011, 2484, 1008, 1061, 1009, 2382, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 12457, 2692, 2575, 1010, 22777, 26224, 1010, 29386, 2683, 2549, 1010, 17267, 23632, 1010, 5401, 28154, 2692, 1029, 1047, 1008, 1008, 1016, 1009, 10630, 12740, 1008, 1047, 1011, 11502, 2054, 2003, 1996, 1038, 1005, 16215, 2744, 1997, 1011, 6079, 2549, 1010, 1011, 13092, 2487, 1010, 1011, 11517, 1029, 1011, 3438, 2581, 1008, 1038, 1011, 1021, 2054, 2003, 1996, 1037, 1005, 16215, 2744, 1997, 1011, 6486, 1010, 1011, 19984, 1010, 1011, 24426, 1010, 1011, 4720, 2581, 1010, 1011, 6275, 2487, 1010, 1011, 7287, 2683, 1010, 1011, 15017, 2509, 1010, 1011, 18540, 2629, 1029, 1011, 1016, 1008, 1037, 1008, 1008, 1017, 1011, 1021, 1008, 1037, 1008, 1008, 1016, 1011, 6353, 1008, 1037, 1011, 2340, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 6445, 2629, 1010, 29029, 1010, 23688, 2629, 1010, 22904, 2692, 1010, 4229, 2581, 2581, 1010, 3429, 19841, 1010, 4720, 21926, 1010, 5388, 14142, 1029, 1011, 1048, 1008, 1008, 1017, 1011, 1016, 1008, 1048, 1008, 1008, 1016, 1009, 3770, 2575, 1008, 1048, 1009, 2570, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 1011, 4466, 27814, 2487, 1010, 1011, 5989, 16048, 2581, 1010, 1011, 13741, 23352, 2629, 1010, 1011, 3826, 19961, 1029, 1011, 1047, 1008, 1008, 1016, 1011, 4466, 27814, 2509, 1008, 1047, 1009, 1017, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 6275, 2549, 1010, 6353, 2487, 1010, 6079, 2475, 1010, 5139, 2487, 1010, 4700, 2475, 1029, 1011, 1047, 1008, 1008, 1017, 1009, 2410, 1008, 1047, 1008, 1008, 1016, 1011, 8732, 1008, 1047, 1009, 6486, 2581, 2054, 2003, 1996, 1045, 1005, 16215, 2744, 1997, 1011, 4868, 2620, 1010, 1011, 5139, 2629, 1010, 1011, 23609, 1010, 1011, 3770, 2509, 1010, 1011, 11518, 2549, 1029, 1011, 1019, 1008, 1045, 1008, 1008, 1017, 1009, 1045, 1008, 1008, 1016, 1009, 1019, 1008, 1045, 1011, 4868, 2683, 2054, 2003, 1996, 1046, 1005, 16215, 2744, 1997, 3486, 2683, 1010, 4700, 2509, 1010, 6255, 2683, 1010, 14989, 2509, 1010, 17825, 2487, 1029, 2385, 1008, 1046, 1008, 1008, 1017, 1009, 1016, 1008, 1046, 1009, 28358, 2054, 2003, 1996, 1051, 1005, 16215, 2744, 1997, 1011, 17403, 2575, 1010, 1011, 8698, 2487, 1010, 1011, 5139, 23833, 1010, 1011, 6421, 22203, 1010, 1011, 6227, 2581, 2575, 1010, 1011, 11176, 24096, 1029, 1011, 4849, 1008, 1051, 1009, 4090, 2683, 2054, 2003, 1996, 1056, 1005, 16215, 2744, 1997, 6445, 12740, 2629, 1010, 6445, 12740, 2487, 1010, 6445, 23499, 2581, 1010, 6445, 23499, 2509, 1029, 1011, 1018, 1008, 1056, 1009, 6445, 12740, 2683, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 1011, 3938, 19317, 1010, 1011, 3938, 16932, 1010, 1011, 7706, 2475, 1010, 1011, 6486, 20842, 1029, 1016, 1008, 1047, 1008, 1008, 1016, 1009, 1016, 1008, 1047, 1011, 3938, 23833, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 11118, 1010, 7287, 1010, 3943, 1010, 1011, 6036, 1010, 1011, 4090, 2683, 1010, 1011, 3515, 2549, 1029, 1011, 4229, 1008, 1061, 1008, 1008, 1016, 1009, 12104, 1008, 1061, 1009, 4029, 2054, 2003, 1996, 1038, 1005, 16215, 2744, 1997, 11118, 1010, 4293, 1010, 2676, 1010, 1011, 3943, 1010, 1011, 8746, 1010, 1011, 20500, 1010, 1011, 21777, 1029, 1011, 1020, 1008, 1038, 1008, 1008, 1016, 1011, 2324, 1008, 1038, 1009, 11502, 2054, 2003, 1996, 1059, 1005, 16215, 2744, 1997, 25745, 18139, 22610, 1010, 25745, 18139, 21472, 1010, 25745, 18139, 19961, 1029, 1011, 1059, 1009, 25745, 18139, 18139, 2054, 2003, 1996, 1050, 1005, 16215, 2744, 1997, 1011, 17613, 1010, 1011, 18225, 1010, 1011, 16087, 1010, 1011, 8746, 1010, 1011, 3438, 1029, 1018, 1008, 1050, 1008, 1008, 1016, 1009, 1023, 1008, 1050, 1011, 16327, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 4464, 2549, 1010, 4261, 2581, 1010, 3486, 2620, 1010, 28489, 1010, 26257, 1029, 1011, 1047, 1008, 1008, 1016, 1011, 2403, 1008, 1047, 1009, 2871, 2683, 2054, 2003, 1996, 1058, 1005, 16215, 2744, 1997, 24921, 2683, 2509, 1010, 5401, 12740, 2683, 1010, 6564, 12521, 2629, 1029, 23090, 16048, 1008, 1058, 1011, 2603, 2054, 2003, 1996, 1056, 1005, 16215, 2744, 1997, 22582, 2683, 1010, 2753, 21619, 1010, 4293, 22203, 1010, 2531, 21084, 1010, 8732, 23352, 1010, 5018, 2620, 2549, 1010, 21667, 2487, 1029, 1011, 1056, 1008, 1008, 1016, 1009, 22898, 2692, 1008, 1056, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 19015, 2575, 2487, 1010, 19015, 2581, 2620, 1010, 19015, 2683, 2629, 1010, 20802, 12521, 1010, 20802, 24594, 1010, 20802, 21472, 1029, 2459, 1008, 1039, 1009, 19015, 22932, 2054, 2003, 1996, 1057, 1005, 16215, 2744, 1997, 22997, 2581, 1010, 5786, 2575, 2509, 1010, 6109, 2620, 2581, 1010, 8732, 2692, 2683, 1029, 1011, 1057, 1008, 1008, 1016, 1009, 21036, 2683, 1008, 1057, 1009, 1023, 2054, 2003, 1996, 1040, 1005, 16215, 2744, 1997, 1011, 25717, 2692, 1010, 1011, 25586, 2581, 1010, 1011, 26871, 2475, 1010, 1011, 27502, 2629, 1010, 1011, 26257, 2575, 1029, 1011, 2539, 1008, 1040, 1008, 1008, 1016, 1011, 25491, 2487, 2054, 2003, 1996, 1060, 1005, 16215, 2744, 1997, 1011, 2756, 1010, 1011, 17267, 1010, 1011, 17832, 2581, 1010, 1011, 4229, 2683, 2575, 1010, 1011, 6146, 22394, 1029, 1011, 6079, 1008, 1060, 1008, 1008, 1017, 1011, 1016, 1008, 1060, 1008, 1008, 1016, 1009, 1016, 1008, 1060, 1009, 3590, 2054, 2003, 1996, 1040, 1005, 16215, 2744, 1997, 1011, 19235, 1010, 1011, 6356, 2549, 1010, 1011, 26621, 1010, 1011, 28489, 2692, 1010, 1011, 25186, 2581, 1010, 1011, 5345, 26976, 1010, 1011, 13741, 23499, 1010, 1011, 12875, 2581, 2620, 1029, 1011, 4261, 1008, 1040, 1008, 1008, 1017, 1011, 1040, 1008, 1008, 1016, 1011, 25103, 1008, 1040, 1009, 5818, 2054, 2003, 1996, 1051, 1005, 16215, 2744, 1997, 12904, 19961, 2475, 1010, 20666, 21057, 2509, 1010, 4090, 2683, 19481, 2549, 1010, 4805, 27814, 2692, 2629, 1010, 5388, 19317, 26976, 1029, 12904, 19961, 2487, 1008, 1051, 1009, 1015, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 12963, 23777, 1010, 10630, 2620, 2509, 1010, 12104, 21926, 1029, 1011, 13539, 1008, 1048, 1009, 12606, 2692, 2509, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 1011, 23593, 17465, 1010, 1011, 23593, 2692, 2581, 1010, 1011, 17825, 2683, 2509, 1010, 1011, 17825, 2581, 2683, 1029, 2403, 1008, 1039, 1011, 23593, 19481, 2054, 2003, 1996, 1043, 1005, 16215, 2744, 1997, 1011, 23980, 2692, 1010, 1011, 23609, 2475, 1010, 1011, 6365, 15136, 1010, 1011, 8732, 2692, 2620, 1010, 1011, 14168, 2581, 2475, 1010, 1011, 6863, 2692, 1029, 2410, 1008, 1043, 1008, 1008, 1016, 1011, 27003, 2487, 1008, 1043, 1009, 1022, 2054, 2003, 1996, 1058, 1005, 16215, 2744, 1997, 6421, 2549, 1010, 26271, 1010, 1011, 24709, 1010, 1011, 12904, 2629, 1010, 1011, 11816, 2575, 1010, 1011, 16444, 2487, 1010, 1011, 5187, 12376, 1029, 1011, 13029, 1008, 1058, 1008, 1008, 1016, 1009, 1016, 1008, 1058, 1009, 5594, 2683, 2054, 2003, 1996, 1058, 1005, 16215, 2744, 1997, 14010, 16932, 1010, 13029, 16576, 1010, 11899, 11387, 1010, 14378, 21926, 1010, 7558, 23833, 1029, 9800, 1008, 1058, 1009, 8732, 14526, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 6275, 2475, 1010, 20666, 2475, 1010, 17267, 2620, 1010, 6146, 12740, 1010, 12457, 15136, 1029, 4261, 2509, 1008, 1039, 1008, 1008, 1016, 1009, 29403, 1008, 1039, 1011, 2260, 2054, 2003, 1996, 1051, 1005, 16215, 2744, 1997, 1011, 6070, 17134, 2692, 1010, 1011, 20827, 28154, 1010, 1011, 21611, 23499, 2692, 1010, 1011, 28906, 25746, 2509, 1010, 1011, 17422, 26187, 2620, 1010, 1011, 4720, 2620, 2581, 2683, 2629, 1010, 1011, 6079, 2575, 2683, 22022, 1029, 1011, 1051, 1008, 1008, 1016, 1011, 6070, 12521, 2575, 1008, 1051, 1011, 1017, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 25926, 2692, 2549, 1010, 25926, 16048, 1010, 25926, 22022, 1010, 25926, 27814, 1029, 1017, 1008, 1061, 1008, 1008, 1016, 1009, 1017, 1008, 1061, 1009, 27240, 2683, 2620, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 14677, 2575, 1010, 21950, 2549, 1010, 4464, 23833, 1010, 4720, 19317, 1010, 3515, 12521, 1010, 6255, 2683, 2575, 1029, 1011, 1017, 1008, 1048, 1008, 1008, 1016, 1009, 14677, 2581, 1008, 1048, 1009, 1016, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 4090, 28756, 1010, 16621, 17465, 1010, 22997, 21472, 1010, 4583, 2581, 23632, 1010, 6584, 10790, 2575, 1010, 8732, 22932, 2487, 1029, 4090, 27531, 1008, 1039, 1008, 1008, 1016, 1011, 2539, 2054, 2003, 1996, 1042, 1005, 16215, 2744, 1997, 1011, 2753, 2581, 2509, 1010, 1011, 5187, 26224, 1010, 1011, 5179, 17788, 1029, 1011, 25113, 1008, 1042, 1011, 4700, 2683, 2581, 2054, 2003, 1996, 1059, 1005, 16215, 2744, 1997, 1011, 14010, 16147, 1010, 1011, 6036, 2581, 2581, 1010, 1011, 11118, 26187, 1010, 1011, 5818, 2581, 2581, 1010, 1011, 26667, 2581, 1010, 1011, 6079, 26224, 1010, 1011, 4029, 2683, 2581, 1029, 1059, 1008, 1008, 1017, 1009, 20311, 1008, 1059, 1008, 1008, 1016, 1011, 1016, 1008, 1059, 1011, 13029, 2683, 2581, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 1011, 24673, 1010, 1011, 29302, 1010, 1011, 5354, 2629, 1010, 1011, 6353, 2629, 1010, 1011, 6535, 2629, 1029, 1011, 2531, 1008, 1047, 1011, 21679, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 10715, 1010, 4464, 2475, 1010, 6163, 2575, 1029, 26871, 1008, 1048, 1011, 18561, 2054, 2003, 1996, 1060, 1005, 16215, 2744, 1997, 4976, 2683, 1010, 4229, 17465, 2581, 1010, 5401, 16703, 2629, 1029, 4976, 2620, 1008, 1060, 1009, 1015, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 13274, 1010, 3172, 1010, 19540, 2620, 1010, 4293, 17788, 1010, 12904, 22022, 1010, 29016, 2629, 1010, 14993, 22407, 1029, 4008, 2575, 1008, 1061, 1008, 1008, 1016, 1009, 5345, 1008, 1061, 1009, 1023, 2054, 2003, 1996, 1049, 1005, 16215, 2744, 1997, 1011, 5139, 2683, 18139, 2575, 1010, 1011, 5139, 2683, 18139, 2509, 1010, 1011, 5139, 2683, 18139, 2692, 1010, 1011, 5139, 2683, 22610, 2581, 1010, 1011, 5139, 2683, 22610, 2549, 1029, 1017, 1008, 1049, 1011, 5139, 2683, 18139, 2683, 2054, 2003, 1996, 1042, 1005, 16215, 2744, 1997, 15028, 17465, 1010, 25113, 19841, 1010, 24690, 16147, 1010, 4583, 21619, 2620, 1029, 15028, 26224, 1008, 1042, 1011, 2654, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 10550, 19841, 1010, 10715, 2692, 2683, 1010, 10715, 2581, 2575, 1010, 11518, 2620, 2509, 1010, 11118 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 2002, 10415, 16429, 18908, 2121, 1052, 8516, 10050, 1008, 2003, 3625, 2005, 2087, 6829, 4181, 2389, 1998, 27233, 4588, 17359, 17119, 1998, 2036, 3248, 2019, 2590, 2535, 1999, 3806, 12412, 16298, 24755, 11890, 5740, 2863, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2012, 27949, 2487, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 7987, 24336, 2099, 2487, 1033, 1012, 1996, 7337, 1997, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 26835, 2594, 3466, 2003, 10599, 1010, 2021, 2009, 2003, 3373, 2000, 2022, 3141, 2000, 3375, 3677, 17341, 10266, 13330, 2011, 6819, 6820, 22717, 9165, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 26445, 13331, 2487, 1033, 1010, 1998, 2009, 2003, 2825, 2008, 2122, 3896, 2024, 9412, 2011, 1996, 17503, 2791, 1997, 1996, 24024, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 4100, 3630, 22122, 2487, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 26785, 5428, 2487, 1033, 1012, 2633, 1010, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 2001, 3728, 5159, 2306, 3806, 12412, 14163, 13186, 2050, 6178, 9386, 5134, 1010, 2073, 2009, 3544, 2000, 5323, 2485, 2523, 2007, 9413, 22123, 8093, 28788, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 26785, 5428, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2004, 8458, 4747, 2213, 2487, 1033, 1012, 3568, 1010, 2009, 2003, 2590, 2000, 4503, 3563, 1998, 7591, 8382, 4725, 4352, 1996, 10788, 1998, 8720, 1997, 2023, 12702, 21759, 7088, 6491, 1999, 6897, 9908, 1012, 3226, 1997, 1996, 24024, 2003, 2641, 1996, 2751, 3115, 1010, 2021, 1996, 4118, 2003, 2025, 7591, 1998, 2003, 3563, 2069, 2065, 3176, 5604, 2003, 2864, 2006, 1996, 27152, 2015, 1012, 1996, 4118, 1997, 3601, 7336, 17782, 11022, 4677, 4668, 1006, 7473, 2099, 1007, 23713, 3669, 10803, 1997, 3563, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 9165, 1012, 2174, 1010, 2478, 2023, 3921, 2089, 2022, 18636, 2349, 2000, 1996, 4866, 26572, 19539, 1997, 2116, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 9165, 1998, 1996, 6438, 1997, 3327, 9165, 1999, 2070, 18859, 1032, 1031, 1041, 1012, 1043, 1012, 6187, 3654, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 11503, 2953, 2989, 9331, 2239, 3401, 2487, 1033, 1032, 1033, 1012, 2426, 1996, 9165, 2008, 2031, 2042, 7718, 1010, 1008, 24471, 5243, 1008, 1998, 1008, 24471, 8586, 1008, 1006, 2036, 2315, 1008, 1043, 13728, 2213, 1008, 1007, 3711, 7591, 1010, 2021, 2027, 3768, 3563, 3012, 1012, 3568, 1010, 1996, 16483, 10788, 1997, 3674, 1010, 1008, 1044, 1012, 1052, 8516, 10050, 1011, 1008, 3563, 1010, 9165, 1998, 1996, 2224, 1997, 2367, 4520, 1997, 3539, 2869, 2038, 2042, 2641, 2000, 2022, 4072, 2000, 6162, 3563, 1998, 7591, 11616, 1997, 1996, 8985, 1012, 2178, 3921, 2000, 1996, 3160, 2038, 2042, 2000, 2224, 1008, 1044, 1012, 1052, 8516, 10050, 2385, 2015, 25269, 2532, 1008, 1012, 2023, 19395, 27642, 4962, 2003, 3327, 1999, 2008, 2009, 2003, 2556, 1999, 2035, 10327, 2096, 1010, 2012, 1996, 2168, 2051, 1010, 2009, 8681, 16371, 14321, 26601, 10071, 2008, 2024, 3563, 2000, 1037, 2445, 17341, 3562, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 12849, 23373, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 3044, 2487, 1033, 1012, 5537, 4106, 1997, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 4962, 2038, 2419, 2000, 2256, 2783, 4824, 1997, 4013, 6673, 7677, 4588, 6887, 8516, 23924, 2100, 1998, 1008, 1044, 1012, 1052, 8516, 10050, 2385, 2015, 25269, 2532, 1008, 4962, 5537, 4106, 14477, 14905, 8004, 28078, 24374, 1996, 1008, 2002, 10415, 16429, 18908, 2121, 1008, 3562, 2013, 1996, 4876, 3141, 1008, 3409, 8516, 16429, 18908, 2121, 1008, 3562, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2175, 8024, 2666, 21355, 2487, 1033, 2947, 4352, 4325, 1997, 1996, 1008, 2002, 10415, 16429, 18908, 2121, 1008, 3562, 1012, 2633, 1010, 1008, 1044, 1012, 1052, 8516, 10050, 2385, 2015, 25269, 2532, 1008, 4962, 5537, 2038, 2042, 2109, 2004, 1037, 6994, 2000, 21032, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 2013, 2060, 1008, 2002, 10415, 16429, 18908, 2121, 1008, 11867, 1012, 2926, 2005, 27152, 2015, 2013, 4111, 4216, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 7570, 2487, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 4419, 2487, 1033, 1012, 2182, 1010, 2057, 5537, 2094, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 9165, 1997, 2048, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 2007, 29295, 2367, 6064, 27556, 2008, 2018, 2042, 3226, 2094, 2013, 2048, 5022, 2542, 1999, 2367, 17846, 1998, 2007, 2367, 2203, 2891, 26461, 11616, 1012, 2011, 9844, 2122, 10071, 2007, 2169, 2060, 1998, 2007, 2216, 2800, 1999, 1996, 2120, 2415, 2005, 20353, 2592, 1006, 13316, 5638, 1007, 16371, 14321, 26601, 7809, 1010, 2057, 2034, 4453, 1037, 4310, 16371, 14321, 26601, 5884, 2008, 2003, 24004, 21197, 3560, 1999, 2087, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 1012, 2057, 2059, 4225, 1010, 2306, 2023, 5884, 1010, 1037, 5537, 2008, 2003, 24004, 21197, 3560, 2426, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 2021, 2025, 2426, 2060, 17341, 2427, 1998, 2109, 2023, 5884, 2000, 2640, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 1011, 3563, 3539, 2869, 1998, 15113, 2015, 2000, 2022, 2109, 1999, 1037, 2613, 1011, 2051, 20155, 19387, 1011, 7473, 2099, 1006, 11937, 4160, 2386, 1007, 4632, 4710, 1998, 2019, 1008, 1999, 26179, 1008, 8893, 3989, 1006, 2003, 2232, 1007, 4118, 1012, 2122, 4725, 2064, 4919, 11487, 2625, 2084, 2184, 4809, 1997, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 1999, 3806, 12412, 16012, 4523, 3111, 1998, 2036, 3499, 24110, 3775, 10803, 1997, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 4304, 1999, 16012, 4523, 3111, 2013, 4176, 1998, 5022, 2007, 3806, 18886, 7315, 1010, 3806, 12412, 3653, 9336, 17119, 3560, 22520, 1998, 4456, 1012, 4725, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 1008, 12962, 6226, 1008, 1008, 2000, 4287, 2913, 1999, 4286, 2001, 4663, 2013, 12148, 3319, 2604, 1997, 1996, 8019, 4896, 1998, 2517, 9619, 3596, 2001, 4663, 2013, 2169, 13180, 1012, 1999, 2804, 1010, 2913, 2864, 1999, 4176, 2020, 4844, 2011, 1996, 12148, 4111, 2729, 1998, 2224, 2837, 1012, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 1063, 1001, 1055, 2475, 2050, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3806, 12412, 14405, 7941, 16012, 4523, 3111, 2020, 22629, 1999, 1006, 1015, 1007, 2019, 9408, 5776, 2007, 3806, 12412, 16298, 24755, 11890, 5740, 2863, 1998, 1006, 1016, 1007, 1037, 1057, 1012, 1055, 1012, 23368, 5776, 2007, 4417, 3806, 18886, 7315, 2021, 2053, 17359, 17119, 1012, 16012, 4523, 3111, 2020, 3226, 2094, 2478, 1008, 3409, 8516, 16429, 18908, 2121, 1008, 16480, 26289, 23355, 2668, 12943, 2906, 7766, 20585, 2007, 12241, 11031, 7361, 20026, 1010, 3158, 9006, 2100, 15459, 1010, 23713, 12326, 22420, 2378, 1038, 1998, 26572, 8029, 20303, 1038, 1006, 2128, 10199, 1010, 18798, 10288, 2050, 1007, 2012, 4261, 7737, 2278, 1999, 2019, 7224, 1997, 3938, 1003, 1050, 1066, 1016, 1066, 1010, 1019, 1003, 1051, 1066, 1016, 1066, 1010, 1998, 1019, 1003, 2522, 1066, 1016, 1066, 1006, 12702, 27867, 16429, 2594, 3785, 1007, 1012, 17341, 27152, 2015, 8335, 2007, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 1999, 4338, 1010, 5701, 19476, 1010, 4372, 9096, 12644, 4023, 1010, 1998, 13250, 1011, 4997, 3570, 3473, 2306, 1021, 1011, 1011, 2184, 2420, 1012, 2309, 5701, 27152, 2015, 2020, 4942, 14561, 2094, 2006, 8351, 2668, 12943, 2906, 7766, 20585, 2007, 3046, 20746, 25176, 12943, 2906, 1006, 2128, 10199, 1010, 18798, 10288, 2050, 1010, 29535, 1007, 1010, 4484, 2005, 4372, 9096, 12644, 4023, 1998, 13250, 21101, 1998, 5067, 1999, 17344, 17698, 28413, 1006, 13683, 1025, 14989, 3461, 6583, 20464, 1010, 1016, 1012, 1021, 3461, 21117, 2140, 1010, 2184, 3461, 17344, 17698, 1007, 2005, 4745, 8991, 22026, 6064, 14676, 1998, 4106, 1012, 6064, 14676, 1063, 1001, 1055, 2475, 2497, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 6064, 2001, 15901, 2013, 2169, 27152, 5067, 1999, 13683, 2011, 18816, 11057, 8737, 6064, 7163, 8934, 1998, 13995, 1996, 8168, 2004, 2649, 1999, 1996, 19274, 1006, 18816, 4270, 2078, 4297, 1012, 1010, 8422, 1007, 1012, 6721, 23713, 3669, 10803, 1997, 26572, 18078, 6064, 1006, 9680, 2094, 1007, 1063, 1001, 1055, 2475, 2278, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 6064, 4344, 16550, 2075, 2478, 1996, 9680, 2094, 6028, 2001, 2109, 2000, 12826, 1996, 27152, 2015, 1012, 1037, 2275, 1997, 1019, 2367, 2184, 1011, 21442, 3539, 2869, 1006, 13412, 2581, 1024, 1019, 1531, 1011, 9779, 3654, 18195, 9468, 13512, 1011, 1017, 1531, 1025, 8732, 2549, 1024, 1019, 1531, 1011, 10507, 18195, 8490, 16665, 2050, 1011, 1017, 1531, 1025, 11899, 2487, 1024, 1019, 1531, 1011, 9779, 2278, 18195, 18195, 11057, 2278, 1011, 1017, 1531, 1025, 13138, 2620, 1019, 1531, 1011, 1043, 2278, 20697, 9468, 16665, 1011, 1017, 1531, 1025, 14378, 2692, 1024, 1019, 1531, 1011, 14181, 23033, 2102, 18195, 3654, 1011, 1017, 1531, 1007, 2020, 2109, 2004, 2405, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 17712, 7361, 7054, 3215, 2487, 1033, 1012, 1008, 2385, 2015, 25269, 2532, 1008, 4962, 23713, 3669, 10803, 1998, 24558, 1063, 1001, 1055, 2475, 2094, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2561, 6064, 2001, 15901, 2013, 2169, 5776, 1032, 1005, 1055, 27152, 1998, 7473, 2099, 1011, 26986, 2478, 2405, 3539, 2869, 1006, 2156, 26215, 1031, 4725, 1055, 2487, 1033, 1006, 1001, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1012, 1055, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 14925, 2243, 4135, 4246, 2487, 1033, 1012, 1996, 3937, 2334, 12139, 3945, 6994, 1006, 16371, 14321, 26601, 8479, 1007, 1010, 2120, 2415, 2005, 20353, 2592, 1006, 13316, 5638, 1007, 1010, 9152, 2232, 1010, 1006, 1026, 8299, 1024, 1013, 1013, 7479, 1012, 13316, 5638, 1012, 17953, 2213, 1012, 9152, 2232, 1012, 18079, 1013, 8479, 1013, 8479, 1012, 1039, 5856, 1028, 1007, 3444, 2005, 12139, 2090, 2048, 16371, 14321, 26601, 10071, 1006, 1038, 2140, 2475, 3366, 4160, 1007, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 11937, 5809, 7103, 2487, 1033, 2001, 2109, 2000, 25705, 1996, 20567, 5537, 2094, 9214, 1997, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 4962, 1012, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 10071, 1997, 18859, 2149, 2226, 10790, 2487, 1998, 2149, 2226, 10790, 2475, 2020, 21933, 5732, 1998, 5068, 1999, 1996, 8991, 9299, 16371, 14321, 26601, 7809, 2004, 7327, 27009, 23632, 2683, 2683, 1998, 7327, 27009, 20958, 8889, 1010, 4414, 1012, 2010, 23479, 1998, 1008, 1999, 26179, 1008, 8893, 3989, 1063, 1001, 1055, 2475, 2063, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3806, 12412, 16012, 4523, 3111, 2020, 4964, 1999, 1018, 1003, 11498, 14192, 19058, 11106, 18124, 2306, 2382, 3823, 1997, 21534, 1010, 2139, 10536, 7265, 3064, 1999, 22886, 2306, 2048, 2420, 1010, 1998, 11157, 1999, 11498, 15379, 1012, 4895, 9153, 21280, 5433, 2020, 2059, 9702, 2007, 19610, 10610, 18037, 4115, 1998, 1041, 20049, 2078, 2030, 2429, 2000, 8991, 2696, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 8991, 2696, 2487, 1033, 2030, 13995, 2005, 2003, 2232, 2004, 2649, 1999, 1996, 12448, 12086, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 4100, 3630, 22122, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2004, 8458, 4747, 2213, 2475, 1033, 1012, 7711, 1997, 4118, 1063, 1001, 1055, 2475, 2546, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2491, 2005, 2512, 13102, 8586, 18513, 8031 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1053, 1024, 15990, 18724, 5371, 1029, 1045, 1005, 1049, 2667, 2000, 2224, 1039, 3642, 2007, 2330, 2278, 2615, 1999, 2227, 10788, 1998, 10320, 1010, 2021, 1045, 3685, 3857, 1996, 3120, 1012, 1045, 2572, 2667, 2000, 4012, 22090, 2026, 2622, 1998, 1045, 2572, 2383, 1037, 2843, 1997, 3471, 2007, 1037, 2240, 1999, 1996, 15990, 18724, 5371, 1012, 1996, 7561, 4471, 3065, 2008, 2009, 2003, 3228, 10697, 1999, 1996, 15990, 18724, 5371, 1012, 3531, 2393, 2033, 9611, 2023, 3291, 1029, 3642, 1013, 1013, 2421, 20346, 6764, 1001, 2421, 1000, 2358, 2850, 2546, 2595, 1012, 1044, 1000, 1001, 2421, 1000, 26226, 1012, 1044, 1000, 1001, 2421, 1000, 2152, 25698, 1012, 1044, 1000, 1001, 2421, 1026, 2358, 20617, 1012, 1044, 1028, 1001, 2421, 1026, 2358, 19422, 12322, 1012, 1044, 1028, 1001, 2421, 1026, 5164, 1012, 1044, 1028, 1001, 2421, 1026, 20865, 1012, 1044, 1028, 1001, 2421, 1026, 8785, 1012, 1044, 1028, 1001, 2421, 1026, 14257, 1012, 1044, 1028, 1001, 2421, 1026, 6537, 1012, 1044, 1028, 1001, 2421, 1026, 2051, 1012, 1044, 1028, 1001, 2421, 1026, 14931, 18863, 1012, 1044, 1028, 1001, 2421, 1026, 16380, 25379, 1028, 1001, 2421, 1026, 1042, 21422, 1028, 1001, 2421, 1026, 9207, 1028, 2478, 3415, 15327, 2358, 2094, 1025, 1001, 2065, 3207, 2546, 1035, 1041, 2594, 1001, 9375, 2663, 16703, 1001, 2203, 10128, 20014, 4175, 12172, 2015, 1027, 1014, 1025, 20014, 16371, 2213, 12172, 2015, 1027, 1014, 1025, 20014, 1047, 1027, 1014, 1025, 20014, 2862, 1027, 1014, 1025, 25869, 5371, 9863, 1031, 24406, 1033, 1031, 24406, 1033, 1025, 20014, 2051, 3597, 16671, 1027, 1014, 1025, 10763, 26226, 4168, 5244, 4263, 4270, 1008, 5527, 1027, 1014, 1025, 10763, 26226, 3270, 2906, 26266, 18095, 15671, 21869, 1008, 16690, 1027, 1014, 1025, 11675, 11487, 1035, 1998, 1035, 4009, 1006, 12997, 17960, 4270, 1008, 3746, 1007, 1025, 11675, 4339, 22254, 2497, 1006, 1007, 1025, 20014, 2179, 1035, 2227, 1006, 12997, 17960, 4270, 1008, 10047, 2290, 1010, 26226, 8400, 13866, 2487, 1010, 26226, 8400, 13866, 2475, 1007, 1025, 20014, 7170, 1035, 16962, 1006, 25869, 1008, 5371, 18442, 1007, 1025, 9530, 3367, 25869, 1008, 16690, 1035, 2171, 1027, 1000, 1039, 1024, 1032, 1032, 2565, 6764, 1032, 1032, 2330, 2278, 2615, 1032, 1032, 2330, 2278, 2615, 2475, 1012, 1015, 1032, 1032, 2951, 1032, 1032, 5292, 2906, 15671, 21869, 2015, 1032, 1032, 5292, 2906, 15671, 21869, 1035, 19124, 12172, 1035, 12456, 1035, 3392, 1012, 20950, 1000, 1025, 1013, 1013, 4088, 2047, 3642, 1001, 9375, 4339, 17258, 8780, 25869, 1008, 6434, 17258, 8780, 1027, 1000, 1039, 1024, 1032, 1032, 2227, 1035, 10320, 2487, 1035, 12808, 1012, 20704, 2072, 1000, 1025, 1013, 1013, 20014, 2227, 3597, 16671, 1027, 1014, 1025, 20014, 13433, 19022, 16093, 7512, 1027, 2531, 1025, 20014, 29486, 24979, 3370, 1027, 2184, 1025, 1013, 1013, 5344, 2064, 4530, 2041, 2005, 2184, 11048, 20014, 2335, 15464, 2361, 1027, 1014, 1025, 14257, 2168, 12172, 10521, 4779, 28362, 22231, 6392, 1027, 2382, 1025, 1013, 1013, 22138, 3292, 26226, 8400, 2227, 26994, 2015, 1031, 2531, 1033, 1025, 20014, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 2531, 1033, 1025, 14257, 3292, 1006, 26226, 8400, 1037, 1010, 26226, 8400, 1038, 1007, 1063, 14257, 4487, 3367, 1027, 5490, 5339, 1006, 14257, 1006, 1006, 1037, 1012, 1060, 1011, 1038, 1012, 1060, 1007, 1008, 1006, 1037, 1012, 1060, 1011, 1038, 1012, 1060, 1007, 1009, 1006, 1037, 1012, 1061, 1011, 1038, 1012, 1061, 1007, 1008, 1006, 1037, 1012, 1061, 1011, 1038, 1012, 1061, 1007, 1007, 1007, 1025, 2709, 4487, 3367, 1025, 1065, 11675, 4654, 20781, 26994, 2015, 1006, 1007, 1063, 2005, 1006, 20014, 1045, 1027, 1014, 1025, 1045, 1026, 13433, 19022, 16093, 7512, 1025, 1045, 1009, 1009, 1007, 1063, 2065, 1006, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 1045, 1033, 1026, 1027, 1006, 2335, 15464, 2361, 1011, 29486, 24979, 3370, 1007, 1007, 1013, 1013, 2065, 1037, 12808, 13433, 2015, 2003, 3080, 2084, 2093, 11048, 1063, 2227, 26994, 2015, 1031, 1045, 1033, 1027, 26226, 8400, 1006, 25897, 1010, 25897, 1007, 1025, 1065, 1065, 1065, 11675, 10651, 3597, 16671, 2121, 1006, 26226, 8400, 2415, 1007, 1063, 22017, 2140, 2047, 12172, 1027, 2995, 1025, 2005, 1006, 20014, 1045, 1027, 1014, 1025, 1045, 1026, 13433, 19022, 16093, 7512, 1025, 1045, 1009, 1009, 1007, 1063, 2065, 1006, 3292, 1006, 2415, 1010, 2227, 26994, 2015, 1031, 1045, 1033, 1007, 1026, 2168, 12172, 10521, 4779, 28362, 22231, 6392, 1007, 1063, 2227, 26994, 2015, 1031, 1045, 1033, 1027, 2415, 1025, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 1045, 1033, 1027, 2335, 15464, 2361, 1025, 2047, 12172, 1027, 6270, 1025, 3338, 1025, 1065, 1065, 2065, 1006, 2047, 12172, 1007, 1063, 1013, 1013, 5245, 2041, 4587, 27080, 2005, 1006, 20014, 1045, 1027, 1015, 1025, 1045, 1026, 13433, 19022, 16093, 7512, 1025, 1045, 1009, 1009, 1007, 1063, 2227, 26994, 2015, 1031, 1045, 1033, 1027, 2227, 26994, 2015, 1031, 1045, 1011, 1015, 1033, 1025, 1065, 1013, 1013, 2404, 2047, 12808, 2597, 2006, 2327, 1997, 9991, 2227, 26994, 2015, 1031, 1014, 1033, 1027, 2415, 1025, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 1014, 1033, 1027, 2335, 15464, 2361, 1025, 4175, 12172, 2015, 1009, 1009, 1025, 1065, 1065, 11675, 4009, 3597, 16671, 2121, 1006, 12997, 17960, 4270, 1008, 3746, 1007, 1063, 1013, 1013, 3443, 15489, 25869, 17698, 1031, 1019, 1033, 1025, 26226, 14876, 3372, 15489, 1025, 26226, 5498, 24475, 12162, 1006, 1004, 15489, 1010, 26226, 1035, 15489, 1035, 5106, 14844, 1035, 3722, 2595, 1010, 1012, 1019, 1010, 1012, 1019, 1010, 1014, 1010, 1015, 1007, 1025, 26226, 18780, 18209, 1006, 3746, 1010, 1000, 5344, 1024, 1000, 1010, 26226, 8400, 1006, 2322, 1010, 2322, 1007, 1010, 1004, 15489, 1010, 26226, 1035, 1054, 18259, 1006, 1014, 1010, 20637, 1010, 1014, 1007, 1007, 1025, 26226, 18780, 18209, 1006, 3746, 1010, 23333, 2050, 1006, 4175, 12172, 2015, 1010, 17698, 1010, 2184, 1007, 1010, 26226, 8400, 1006, 3770, 1010, 2322, 1007, 1010, 1004, 15489, 1010, 26226, 1035, 1054, 18259, 1006, 1014, 1010, 20637, 1010, 1014, 1007, 1007, 1025, 1065, 1001, 2065, 3207, 2546, 4339, 17258, 8780, 26226, 17258, 8780, 15994, 1008, 2678, 15994, 1027, 26226, 16748, 3686, 17258, 8780, 15994, 1006, 6434, 17258, 8780, 1010, 1011, 1015, 1010, 2382, 1010, 26226, 5332, 4371, 1006, 11212, 1010, 8380, 1007, 1007, 1025, 1001, 2203, 10128, 1013, 1013, 2203, 2047, 3642, 20014, 2364, 1006, 20014, 12098, 18195, 1010, 25869, 1008, 1008, 12098, 2290, 2615, 1007, 1063, 26226, 17695, 11244, 1008, 5425, 1027, 1014, 1025, 12997, 17960, 4270, 1008, 4853, 1010, 1008, 4853, 1035, 6100, 1027, 1014, 1025, 20014, 23569, 7770, 1027, 2358, 20927, 2078, 1006, 1000, 1011, 1011, 16690, 1027, 1000, 1007, 1025, 9530, 3367, 25869, 1008, 7953, 1035, 2171, 1025, 2065, 1006, 12098, 18195, 1028, 1015, 1004, 1004, 2358, 6826, 27487, 2361, 1006, 12098, 2290, 2615, 1031, 1015, 1033, 1010, 1000, 1011, 1011, 16690, 1027, 1000, 1010, 23569, 7770, 1007, 1027, 1027, 1014, 1007, 1063, 16690, 1035, 2171, 1027, 12098, 2290, 2615, 1031, 1015, 1033, 1009, 23569, 7770, 1025, 7953, 1035, 2171, 1027, 12098, 18195, 1028, 1016, 1029, 12098, 2290, 2615, 1031, 1016, 1033, 1024, 1014, 1025, 1065, 2842, 1063, 16690, 1035, 2171, 1027, 1000, 1039, 1024, 1032, 1032, 2565, 6764, 1032, 1032, 2330, 2278, 2615, 1032, 1032, 2330, 2278, 2615, 2475, 1012, 1015, 1032, 1032, 2951, 1032, 1032, 5292, 2906, 15671, 21869, 2015, 1032, 1032, 5292, 2906, 15671, 21869, 1035, 19124, 12172, 1035, 12456, 1035, 3392, 1012, 20950, 1000, 1025, 7953, 1035, 2171, 1027, 12098, 18195, 1028, 1015, 1029, 12098, 2290, 2615, 1031, 1015, 1033, 1024, 1014, 1025, 1065, 16690, 1027, 1006, 26226, 3270, 2906, 26266, 18095, 15671, 21869, 1008, 1007, 26226, 11066, 1006, 16690, 1035, 2171, 1010, 1014, 1010, 1014, 1010, 1014, 1007, 1025, 2065, 1006, 999, 16690, 1007, 1063, 1042, 16550, 2546, 1006, 2358, 4063, 2099, 1010, 1000, 7561, 1024, 2071, 2025, 7170, 2465, 18095, 16690, 1032, 1050, 1000, 1007, 1025, 1042, 16550, 2546, 1006, 2358, 4063, 2099, 1010, 1000, 8192, 1024, 4320, 12870, 6593, 1011, 1011, 16690, 1027, 1032, 1000, 1026, 16690, 1035, 4130, 1028, 1032, 1000, 1031, 5371, 18442, 1064, 4950, 1035, 5950, 1033, 1032, 1050, 1000, 1007, 1025, 2709, 1011, 1015, 1025, 1065, 5527, 1027, 26226, 16748, 3686, 4168, 5244, 4263, 4270, 1006, 1014, 1007, 1025, 1013, 1013, 2065, 1006, 999, 7953, 1035, 2171, 1064, 1064, 1006, 2003, 4305, 23806, 1006, 7953, 1035, 2171, 1031, 1014, 1033, 1007, 1004, 1004, 7953, 1035, 2171, 1031, 1015, 1033, 1027, 1027, 1005, 1032, 1014, 1005, 1007, 1007, 1013, 1013, 5425, 1027, 26226, 17695, 11244, 19699, 5358, 28727, 1006, 999, 7953, 1035, 2171, 1029, 1014, 1024, 7953, 1035, 2171, 1031, 1014, 1033, 1011, 1005, 1014, 1005, 1007, 1025, 1013, 1013, 2842, 5425, 1027, 26226, 17695, 11244, 19699, 9626, 5737, 1006, 1000, 1039, 1024, 1032, 1032, 2227, 1035, 10320, 2487, 1012, 20704, 2072, 1000, 1007, 1025, 26226, 18442, 2094, 11101, 5004, 1006, 1000, 2765, 1000, 1010, 1015, 1007, 1025, 2065, 1006, 5425, 1007, 1063, 2005, 1006, 1025, 1025, 1007, 1063, 2065, 1006, 999, 26226, 17643, 29292, 6444, 2063, 1006, 5425, 1007, 1007, 3338, 1025, 4853, 1027, 26226, 13465, 7373, 3726, 15643, 1006, 5425, 1007, 1025, 2065, 1006, 999, 4853, 1007, 3338, 1025, 2065, 1006, 999, 4853, 1035, 6100, 1007, 4853, 1035, 6100, 1027, 26226, 16748, 3686, 9581, 3351, 1006, 26226, 5332, 4371, 1006, 4853, 1011, 1028, 9381, 1010, 4853, 1011, 1028, 4578, 1007, 1010, 12997, 2140, 1035, 5995, 1035, 1022, 2226, 1010, 4853, 1011, 1028, 13316, 4819, 11877, 2015, 1007, 1025, 2065, 1006, 4853, 1011, 1028, 4761, 1027, 1027, 12997, 2140, 1035, 4761, 1035, 1056, 2140, 1007, 26226, 3597, 7685, 1006, 4853, 1010, 4853, 1035, 6100, 1010, 1014, 1007, 1025, 2842, 26226, 10258, 11514, 1006, 4853, 1010, 4853, 1035, 6100, 1010, 1014, 1007, 1025, 11487, 1035, 1998, 1035, 4009, 1006, 4853, 1035, 6100, 1007, 1025, 2065, 1006, 26226, 21547, 2102, 14839, 1006, 2382, 1007, 1028, 1027, 1014, 1007, 3338, 1025, 1065, 26226, 16570, 19500, 9581, 3351, 1006, 1004, 4853, 1035, 6100, 1007, 1025, 26226, 16570, 19500, 17695, 11244, 1006, 1004, 5425, 1007, 1025, 1065, 2842, 1063, 2065, 1006, 999, 7953, 1035, 2171, 1064, 1064, 1006, 2003, 4305, 23806, 1006, 7953, 1035, 2171, 1031, 1014, 1033, 1007, 1004, 1004, 7953, 1035, 2171, 1031, 1015, 1033, 1027, 1027, 1005, 1032, 1014, 1005, 1007, 1007, 26226, 18442, 2094, 11101, 5004, 1006, 1000, 2765, 1000, 1010, 1015, 1007, 1025, 9530, 3367, 25869, 1008, 5371, 18442, 1027, 7953, 1035, 2171, 1029, 7953, 1035, 2171, 1024, 1006, 25869, 1008, 1007, 1000, 14229, 1012, 16545, 2290, 1000, 1025, 12997, 17960, 4270, 1008, 3746, 1027, 26226, 11066, 9581, 3351, 1006, 5371, 18442, 1010, 1015, 1007, 1025, 2065, 1006, 3746, 1007, 1063, 11487, 1035, 1998, 1035, 4009, 1006, 3746, 1007, 1025, 26226, 21547, 2102, 14839, 1006, 1014, 1007, 1025, 26226, 16570, 19500, 9581, 3351, 1006, 1004, 3746, 1007, 1025, 1065, 2842, 1063, 1013, 1008, 7868, 2009, 2003, 1037, 3793, 5371, 4820, 1996, 2862, 1997, 1996, 3746, 5371, 18442, 2015, 2000, 2022, 13995, 1011, 2028, 2566, 2240, 1008, 1013, 5371, 1008, 1042, 1027, 1042, 26915, 1006, 5371, 18442, 1010, 1000, 19387, 1000, 1007, 1025, 2065, 1006, 1042, 1007, 1063, 25869, 20934, 2546, 1031, 6694, 1009, 1015, 1033, 1025, 2096, 1006, 1042, 18150, 2015, 1006, 20934, 2546, 1010, 6694, 1010, 1042, 1007, 1007, 1063, 20014, 18798, 1027, 1006, 20014, 1007, 2358, 20927, 2078, 1006, 20934, 2546, 1007, 1025, 2096, 1006, 18798, 1028, 1014, 1004, 1004, 26354, 15327, 1006, 20934, 2546, 1031, 18798, 1011, 1015, 1033, 1007, 1007, 18798, 1011, 1011, 1025, 20934, 2546, 1031, 18798, 1033, 1027, 1005, 1032, 1014, 1005, 1025, 3746, 1027, 26226, 11066, 9581, 3351, 1006, 20934, 2546, 1010, 1015, 1007, 1025, 2065, 1006, 3746, 1007, 1063, 11487, 1035, 1998, 1035, 4009, 1006, 3746, 1007, 1025, 26226, 21547, 2102, 14839, 1006, 1014, 1007, 1025, 26226, 16570, 19500, 9581, 3351, 1006, 1004, 3746, 1007, 1025, 1065, 1065, 4429, 10483, 2063, 1006, 1042, 1007, 1025, 1065, 1065, 1065, 26226, 6155, 13181, 2100, 11101, 5004, 1006, 1000, 2765, 1000, 1007, 1025, 1001, 2065, 3207, 2546, 4339, 17258, 8780, 26226, 16570, 19500, 17258, 8780, 15994, 1006, 1004, 2678, 15994, 1007, 1025, 1001, 2203, 10128, 2709, 1014, 1025, 1065, 11675, 11487, 1035, 1998, 1035, 4009, 1006, 12997, 17960, 4270, 1008, 10047, 2290, 1007, 1063, 10763, 26226, 15782, 8017, 6087, 1031, 1033, 1027, 1063, 1063, 1063, 1014, 1010, 1014, 1010, 20637, 1065, 1065, 1010, 1063, 1063, 1014, 1010, 11899, 1010, 20637, 1065, 1065, 1010, 1063, 1063, 1014, 1010, 20637, 1010, 20637, 1065, 1065, 1010, 1063, 1063, 1014, 1010, 20637, 1010, 1014, 1065, 1065, 1010, 1063, 1063, 20637, 1010, 11899, 1010, 1014, 1065, 1065, 1010, 1063, 1063, 20637, 1010, 20637, 1010, 1014, 1065, 1065, 1010, 1063, 1063, 20637, 1010, 1014, 1010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 10514, 18098, 7113, 20746, 13502, 1996, 10514, 18098, 7113, 20746, 13502, 1006, 2365, 1007, 2003, 1037, 13502, 1997, 23848, 3630, 16882, 11265, 10976, 3366, 16748, 7062, 4442, 1999, 1996, 1044, 22571, 14573, 7911, 7606, 1997, 1996, 26524, 4167, 1012, 1996, 13502, 2003, 4350, 2012, 1996, 2918, 1997, 1996, 4167, 1010, 5516, 2000, 1996, 22816, 9610, 3022, 2213, 1012, 1999, 4286, 1010, 1996, 2365, 3397, 2055, 1017, 1010, 2199, 15698, 1012, 3853, 1996, 3526, 4230, 3965, 1996, 25117, 18714, 12436, 28793, 8303, 2378, 1010, 2029, 2003, 2036, 2124, 2004, 3424, 1011, 4487, 5397, 4588, 18714, 1006, 4748, 2232, 1007, 1012, 2023, 5072, 11981, 7930, 3081, 1996, 2668, 21422, 2000, 2049, 4539, 4442, 1999, 1996, 6643, 8197, 24435, 23245, 2015, 1999, 1996, 14234, 2015, 1010, 20226, 2300, 2128, 7875, 21748, 16790, 1012, 1999, 1996, 3526, 4230, 1010, 1996, 20752, 2024, 21972, 1999, 2312, 1010, 10804, 1011, 5391, 2310, 19570, 4244, 2008, 2024, 9687, 2091, 1996, 22260, 5644, 2000, 1996, 9113, 21306, 1012, 1996, 3595, 10253, 12604, 16308, 2024, 2036, 8250, 1999, 23730, 2247, 1996, 22260, 2239, 2170, 22103, 4230, 1012, 2714, 23848, 3630, 16882, 15698, 2024, 2036, 2179, 1999, 1996, 11498, 15338, 7277, 7934, 13502, 1012, 14828, 2169, 11265, 21017, 1999, 1996, 13502, 2038, 2028, 2146, 22260, 2239, 2008, 3934, 2000, 1996, 15219, 6770, 14663, 5649, 25320, 1010, 2073, 2009, 3957, 4125, 2000, 2055, 2184, 1010, 2199, 11265, 10976, 3366, 16748, 7062, 9113, 17703, 1012, 1996, 23848, 3630, 16882, 15698, 2024, 29103, 4654, 26243, 3085, 1024, 1999, 3433, 2000, 21358, 7512, 4765, 22239, 2013, 2060, 15698, 1010, 2027, 9699, 2895, 4022, 2015, 1010, 2029, 17678, 16098, 2618, 2091, 1996, 22260, 5644, 1012, 2043, 2019, 2895, 4022, 18445, 2015, 1037, 11265, 10976, 3366, 16748, 7062, 5536, 1010, 1996, 5536, 2003, 2139, 18155, 23061, 2098, 1010, 1998, 13853, 8039, 1996, 5536, 2083, 10004, 1011, 4796, 2094, 6833, 1012, 1996, 13853, 4443, 27099, 1996, 3595, 3258, 1997, 2070, 1997, 1996, 2310, 19570, 4244, 2011, 1037, 2832, 2124, 2004, 4654, 10085, 22123, 12650, 1012, 1996, 2310, 19570, 2571, 8417, 2024, 2207, 2046, 1996, 4469, 16882, 2686, 1010, 2013, 2073, 2027, 28105, 2046, 1996, 2668, 21422, 1012, 7816, 1997, 10514, 18098, 7113, 20746, 15698, 12436, 28793, 8303, 2378, 1006, 3424, 4305, 5397, 4588, 18714, 1010, 4748, 2232, 1007, 2003, 2207, 1999, 3433, 2000, 14017, 10421, 6693, 1999, 1996, 2668, 1010, 10548, 2668, 3872, 1010, 2030, 2668, 3778, 1012, 2070, 2060, 20407, 2272, 2013, 1996, 14332, 18532, 1010, 2164, 2013, 2070, 1997, 1996, 12306, 16200, 3678, 12863, 15698, 1997, 1996, 13502, 1997, 1996, 14348, 12859, 1998, 1996, 18834, 13153, 24932, 2389, 19960, 22187, 1012, 2174, 1010, 2116, 1997, 1996, 3622, 20407, 2000, 1996, 10514, 18098, 7113, 20746, 13502, 2272, 2013, 15698, 2074, 2648, 1996, 13502, 1006, 1996, 1000, 2566, 2378, 14194, 19738, 2099, 4224, 1000, 1007, 1012, 1997, 1996, 21358, 7512, 4765, 20407, 2000, 1996, 10514, 18098, 7113, 20746, 13502, 1010, 2087, 5383, 2593, 1996, 24054, 2100, 11265, 10976, 6494, 3619, 22930, 3334, 11721, 3676, 2030, 1996, 4654, 26243, 14049, 11265, 10976, 6494, 3619, 22930, 3334, 1043, 7630, 28282, 2618, 1010, 2021, 2122, 26288, 2411, 2522, 1011, 4839, 2007, 2536, 25117, 2015, 1012, 2060, 21358, 7512, 4765, 11265, 10976, 6494, 3619, 22930, 7747, 2421, 12306, 16200, 12032, 3170, 1006, 2013, 1996, 14332, 18532, 1007, 1010, 2079, 4502, 11233, 1010, 14262, 25862, 2378, 1010, 1998, 9078, 3723, 29358, 18861, 2063, 1012, 1996, 10514, 18098, 7113, 20746, 13502, 2004, 1037, 1000, 2944, 2291, 1000, 1996, 10514, 18098, 7113, 20746, 13502, 2003, 2019, 2590, 1000, 2944, 2291, 1000, 1999, 23700, 1012, 2045, 2024, 2116, 4436, 2005, 2023, 1024, 2070, 4087, 12637, 1997, 2551, 2006, 1996, 10514, 18098, 7113, 20746, 13502, 2024, 2008, 1996, 3526, 4230, 2024, 4659, 2312, 1010, 1996, 4442, 2191, 17077, 2312, 8310, 1997, 2037, 3595, 10253, 3688, 1010, 1998, 1996, 13502, 2003, 4659, 24854, 1998, 3733, 2000, 3584, 2013, 2060, 4167, 4655, 1012, 1996, 4962, 3670, 1998, 5992, 4023, 1997, 10514, 18098, 7113, 20746, 15698, 2038, 2042, 3273, 8077, 1010, 1999, 2116, 19389, 1998, 6388, 3785, 1012, 2122, 2913, 2031, 2419, 2000, 2116, 20062, 1997, 2236, 5197, 1010, 2004, 1999, 1996, 4973, 2917, 1012, 24012, 6081, 3012, 1999, 1996, 10514, 18098, 7113, 20746, 13502, 28141, 2913, 2478, 10496, 29105, 2031, 3491, 2008, 1996, 19476, 1997, 1996, 10514, 18098, 7113, 20746, 13502, 2003, 17431, 15581, 3085, 1012, 2005, 2742, 1010, 2076, 18749, 12516, 2045, 2024, 2312, 3431, 1999, 1996, 2946, 1998, 4338, 1997, 1996, 23060, 22123, 10085, 2378, 15698, 1010, 1999, 1996, 3616, 1998, 4127, 1997, 19962, 9331, 8583, 2008, 2122, 15698, 4374, 1010, 1998, 1999, 1996, 8332, 6550, 2090, 15698, 1998, 1043, 6632, 2140, 4442, 1999, 1996, 13502, 1012, 2122, 3431, 13368, 2076, 2112, 9496, 3508, 1010, 1998, 2024, 2245, 2000, 2022, 2590, 17241, 2008, 7374, 1996, 23060, 22123, 10085, 2378, 15698, 2005, 1037, 8760, 2152, 5157, 2005, 23060, 22123, 10085, 2378, 1012, 23060, 22123, 10085, 2378, 2003, 6827, 2005, 6501, 2292, 1011, 2091, 1999, 3433, 2000, 11891, 2989, 1012, 2122, 2913, 3662, 2008, 1996, 4167, 2003, 2172, 2062, 1000, 6081, 1000, 1999, 2049, 13336, 2084, 3130, 3858, 1010, 1998, 2419, 2000, 2307, 3037, 1999, 1996, 10266, 2090, 1043, 6632, 2140, 4442, 1998, 15698, 1999, 2236, 1012, 19220, 1011, 3595, 3258, 19780, 1999, 3433, 2000, 1010, 2005, 6013, 1010, 1037, 4125, 1999, 1996, 12123, 13365, 6693, 1010, 12436, 28793, 8303, 2378, 15698, 2036, 11889, 2895, 4022, 2015, 1999, 19239, 1010, 2021, 2122, 19239, 2024, 2172, 2936, 1998, 2024, 2625, 6387, 2084, 1996, 19239, 6913, 2011, 23060, 22123, 10085, 2378, 15698, 1010, 1998, 1996, 19239, 1999, 12436, 28793, 8303, 2378, 4442, 2024, 2025, 26351, 8093, 27296, 2098, 1012, 2009, 2790, 4326, 2008, 1996, 12436, 28793, 8303, 2378, 4442, 2323, 2543, 1999, 19239, 1012, 2004, 1996, 4023, 1997, 1996, 12436, 28793, 8303, 2378, 4442, 2003, 2025, 26351, 8093, 27296, 2098, 1010, 1996, 3452, 2504, 1997, 12436, 28793, 8303, 2378, 3595, 3258, 2046, 1996, 2668, 2003, 7142, 1010, 2025, 16405, 4877, 10450, 2571, 1012, 2957, 1040, 2100, 7384, 1998, 2010, 2522, 1011, 3667, 15520, 2008, 2023, 5418, 1997, 4023, 1010, 2170, 1000, 6887, 21369, 2278, 7493, 1000, 1010, 2453, 2022, 3391, 4621, 2005, 4786, 12436, 28793, 8303, 2378, 3595, 3258, 1012, 2027, 3662, 2023, 2000, 2022, 1996, 2553, 2011, 5702, 12436, 28793, 8303, 2378, 3595, 3258, 2013, 1996, 7275, 15219, 6770, 14663, 5649, 25320, 1999, 25714, 1012, 2027, 2179, 2008, 12436, 28793, 8303, 2378, 3595, 3258, 2071, 2022, 23408, 23461, 2011, 5992, 19220, 23894, 4162, 2000, 1996, 25320, 1010, 1998, 2008, 2172, 2062, 18714, 2001, 2207, 2011, 1037, 6887, 21369, 2278, 5418, 1997, 20858, 2084, 2011, 1037, 7142, 5418, 1997, 20858, 1012, 2122, 7885, 2419, 2000, 3037, 1999, 1000, 19220, 1011, 3595, 3258, 19780, 1000, 1011, 1996, 3276, 2090, 5992, 4023, 1998, 3595, 3258, 1012, 10514, 18098, 7113, 20746, 15698, 2024, 5866, 2138, 1997, 1996, 2312, 8310, 1997, 25117, 2008, 2027, 3595, 2063, 1010, 1998, 2138, 2027, 3595, 2063, 1996, 25117, 2015, 2046, 1996, 2668, 1012, 2174, 1010, 2116, 15698, 1999, 1996, 4167, 1010, 1998, 2926, 1999, 1996, 1044, 22571, 14573, 7911, 7606, 1010, 24203, 2229, 4697, 25117, 2015, 1012, 2009, 2003, 2085, 2245, 2008, 19239, 1997, 5992, 4023, 2453, 2022, 3227, 2590, 2005, 8287, 2312, 8310, 1997, 25117, 2013, 25117, 1011, 3595, 2075, 15698, 1012, 7939, 13626, 18291, 3595, 3258, 10514, 18098, 7113, 20746, 15698, 2031, 4050, 1015, 1011, 1017, 2312, 7939, 13626, 7616, 1010, 2087, 1997, 2029, 18398, 23420, 2135, 2000, 2433, 1037, 13523, 1997, 2832, 2012, 1996, 2918, 1997, 1996, 13502, 1010, 2170, 1996, 23420, 1043, 6632, 2140, 16983, 3981, 1012, 1996, 7939, 13626, 7616, 4374, 2087, 1997, 1996, 19962, 9331, 4588, 17703, 2013, 21358, 7512, 4765, 15698, 2008, 15176, 1996, 10514, 18098, 7113, 20746, 15698, 1010, 2021, 11265, 21017, 2389, 7939, 13626, 7616, 2024, 2411, 8851, 2920, 1999, 2592, 6364, 1010, 2738, 2084, 2108, 3432, 13135, 19278, 1997, 2592, 1012, 1996, 7939, 13626, 7616, 1997, 10514, 18098, 7113, 20746, 15698, 5383, 2312, 3616, 1997, 11265, 10976, 3366, 16748, 7062, 2310, 19570, 4244, 2008, 5383, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 1010, 1998, 2027, 2064, 2022, 2207, 2013, 1996, 7939, 13626, 7616, 2011, 4654, 10085, 22123, 12650, 1012, 1996, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 2008, 2003, 2207, 2012, 1996, 15219, 6770, 14663, 5649, 25320, 8039, 1996, 2668, 1010, 1998, 3685, 2128, 1011, 4607, 1996, 4167, 2138, 1996, 2668, 1516, 4167, 8803, 2515, 2025, 3499, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 2083, 1010, 2021, 1996, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 2008, 2003, 2207, 2013, 7939, 13626, 7616, 4490, 2306, 1996, 4167, 1012, 23060, 22123, 10085, 2378, 15698, 3209, 4671, 23060, 22123, 10085, 2378, 13833, 1010, 1998, 12436, 28793, 8303, 2378, 15698, 4671, 12436, 28793, 8303, 2378, 13833, 1010, 2061, 7939, 13626, 26116, 2135, 1011, 2207, 25117, 2015, 1000, 8285, 2890, 24848, 3686, 1000, 1996, 10514, 18098, 7113, 20746, 15698, 1012, 28979, 9587, 2891, 1998, 10852, 2063, 2957, 2034, 3662, 2008, 1996, 8285, 2890, 24848, 14049, 2895, 1997, 23060, 22123, 10085, 2378, 2003, 2590, 2005, 1996, 6501, 1011, 1041, 20614, 3258, 22259, 1012, 2122, 25117, 2015, 2031, 4659, 2146, 2431, 1011, 3268, 1999, 1996, 4167, 1006, 2055, 2322, 2781, 1999, 1996, 20116, 2546, 1007, 1010, 1998, 2027, 2024, 2207, 1999, 2312, 8310, 1999, 1996, 10514, 18098, 7113, 20746, 13502, 1010, 1998, 2061, 2027, 2024, 2800, 2000, 28105, 2083, 1996, 4469, 16882, 7258, 1997, 1996, 4167, 2000, 2552, 2012, 6802, 7889, 1012, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 13833, 2024, 2556, 1999, 2116, 2060, 4167, 4655, 1010, 2164, 1996, 6864, 2290, 9305, 2050, 1010, 14332, 18532, 1010, 1998, 17419, 2819, 1010, 2004, 2092, 2004, 2087, 23767, 1999, 1996, 1044, 22571, 14573, 7911, 7606, 1012, 2138, 2061, 2172, 12436, 28793, 8303, 2378, 1998, 23060, 22123, 10085, 2378, 2024, 2207, 2012, 2023, 2609, 1010, 2913, 1997, 1996, 10514, 18098, 7113, 20746, 13502, 2031, 2081, 2019, 2590, 6691, 2000, 4824, 2129, 2713, 2013, 7939, 13626, 7616, 2003, 12222, 1010, 1998, 1999, 4824, 2049, 19389, 7784, 1012, 2913, 2031, 7645, 2008, 3595, 2378, 7126, 2000, 10956, 7939, 13626, 18291, 23060, 22123, 10085, 2378, 2713, 1999, 1996, 2365, 1010, 1998, 2008, 3595, 2378, 3447, 2046, 1996, 2365, 11598, 2015, 2591, 5038, 1999, 28156, 1012, 2023, 9412, 2591, 10673, 3544, 2000, 2022, 2551, 2083, 3595, 2378, 1005, 1055, 3896, 2006, 23060, 22123, 10085, 2378, 15698, 1999, 1996, 2365, 1010, 2004, 10851, 23060, 22123, 10085, 2378, 13833, 1999, 2023, 2555, 5991, 2591, 5038, 1012, 2522, 1011, 4493, 25117, 2015, 12436, 28793, 8303, 2378, 15698, 1998, 23060, 22123, 10085, 2378, 15698, 2191, 2116, 2060, 11265, 10976, 19620, 13978, 1999, 2804, 2000, 12436, 28793, 8303, 2378, 1998, 23060, 22123, 10085, 2378, 1010, 2295, 2087, 2024, 2556, 2069, 1999, 2235, 12450, 1012, 2174, 1010, 2070, 1997, 2122, 2060, 13978, 2024, 2124, 2000, 2022, 2590, 1012, 1040, 6038, 2953, 21850, 2078, 2550, 2011, 12436, 28793, 8303, 2378, 15698, 2003, 2920, 1999, 21575, 1996, 6887, 21369, 2278, 11889, 5418, 2075, 1997, 12436, 28793, 8303, 2378, 15698, 1010, 1998, 9152, 12412, 15772, 2550, 2011, 2119, 11265, 21017, 2389, 4127, 2003, 1037, 4997, 1011, 12247, 21618, 1997, 3526, 4023, 1012, 23060, 22123, 10085, 2378, 15698, 2036, 2191, 1040, 6038, 2953, 21850, 2078, 1025, 1999, 2122, 15698, 1010, 1040, 6038, 2953, 21850, 2078, 4490, 2012, 1996, 9113, 17703, 1999, 1996, 15219, 6770, 14663, 5649, 2004, 1037, 4997, 12247, 24054, 1997, 23060, 22123, 10085, 2378, 3595, 3258, 1012, 23060, 22123, 10085, 2378, 15698, 2036, 2191, 2312, 8310, 1997, 16480, 2571, 5666, 16033, 4939, 2378, 2004, 2092, 2004, 1996, 16034, 1998, 23713, 27065, 19915, 10738, 24051, 1006, 11122, 1007, 1012, 2156, 2036, 11498, 15338, 7277, 7934, 13502, 7604, 6327, 6971, 4696, 1024, 11265, 10976, 10497, 10085, 17815, 6483, 4696, 1024, 1044, 22571, 14573, 7911, 7606, 102 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1053, 1024, 4039, 2000, 16500, 1054, 19894, 17603, 2015, 4160, 2140, 7427, 1999, 1054, 2996, 2006, 9358, 2891, 1021, 1045, 5361, 2695, 17603, 2015, 4160, 2140, 1023, 1012, 1020, 2007, 2695, 17701, 1016, 1012, 1017, 2478, 2028, 11562, 16500, 2121, 1997, 6960, 16962, 2800, 2182, 2006, 2026, 9358, 2891, 1021, 1006, 1060, 21084, 1007, 11603, 2241, 3698, 1012, 2085, 1045, 2572, 2667, 2000, 7532, 1054, 2996, 2000, 2695, 17603, 2015, 1012, 2000, 2079, 2061, 1010, 1045, 2699, 2000, 16500, 1054, 19894, 17603, 2015, 4160, 2140, 7427, 1999, 1054, 2996, 2021, 1045, 2572, 2893, 2206, 7561, 1024, 1028, 16500, 1012, 14555, 1006, 1000, 1054, 19894, 17603, 2015, 4160, 2140, 1000, 1007, 23658, 7427, 2046, 1520, 1013, 2188, 1013, 1046, 2243, 1013, 1054, 1013, 1060, 20842, 1035, 4185, 1011, 2417, 12707, 1011, 11603, 1011, 27004, 1011, 3075, 1013, 1017, 1012, 1017, 1521, 1006, 2004, 1520, 5622, 2497, 1521, 2003, 25851, 1007, 2667, 24471, 2140, 1005, 16770, 1024, 1013, 1013, 13675, 2319, 1012, 12667, 8525, 20617, 1012, 4012, 1013, 5034, 2278, 1013, 9530, 18886, 2497, 1013, 1054, 19894, 17603, 2015, 4160, 2140, 1035, 1014, 1012, 1018, 1011, 1015, 1012, 16985, 1012, 1043, 2480, 1005, 4180, 2828, 1005, 4242, 1005, 3091, 4700, 2575, 11387, 2549, 27507, 1006, 4805, 2629, 21677, 1007, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 22817, 4805, 2629, 21677, 1008, 23658, 1008, 3120, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 1012, 1012, 1012, 1008, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 5147, 4895, 23947, 2098, 1998, 9108, 2629, 20571, 7039, 9361, 2005, 1043, 9468, 1012, 1012, 1012, 1043, 9468, 9361, 2005, 1039, 21624, 12398, 6434, 5371, 2171, 1012, 1012, 1012, 1037, 1012, 2041, 9361, 3251, 1996, 1039, 21624, 2573, 1012, 1012, 1012, 2748, 9361, 3251, 2057, 2024, 2892, 21953, 1012, 1012, 1012, 2053, 9361, 2005, 16809, 1997, 4654, 8586, 23056, 2015, 1012, 1012, 1012, 9361, 2005, 16809, 1997, 4874, 6764, 1012, 1012, 1012, 1051, 9361, 3251, 2057, 2024, 2478, 1996, 27004, 1039, 21624, 1012, 1012, 1012, 2748, 9361, 3251, 1043, 9468, 13385, 1011, 1043, 1012, 1012, 1012, 2748, 9361, 2005, 1043, 9468, 5724, 2000, 5138, 11163, 1039, 2620, 2683, 1012, 1012, 1012, 3904, 2734, 9361, 3857, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 3677, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 4539, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 2005, 18720, 1035, 9530, 8873, 2290, 1012, 1012, 1012, 2053, 9530, 8873, 27390, 2063, 1024, 9361, 2005, 2695, 17603, 2015, 4160, 2140, 20346, 6764, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2421, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 18720, 2015, 4160, 2140, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2695, 17603, 2015, 4160, 2140, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2421, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2334, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2334, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2334, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 2620, 2549, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 25430, 1013, 23569, 1013, 2695, 17603, 2015, 4160, 2140, 1011, 1022, 1012, 1018, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 3075, 1013, 2695, 17603, 13102, 7393, 1013, 1022, 1012, 1018, 4757, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 25430, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 5622, 2497, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 5622, 2497, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 18720, 2015, 4160, 2140, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 2695, 17603, 2015, 4160, 2140, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 5622, 2497, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 2334, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 2334, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 2334, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 2620, 2549, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 25430, 1013, 23569, 1013, 2695, 17603, 2015, 4160, 2140, 1011, 1022, 1012, 1018, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 3075, 1013, 2695, 17603, 13102, 7393, 1013, 1022, 1012, 1018, 4757, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 25430, 1013, 5622, 2497, 1012, 9361, 2005, 1000, 1013, 5622, 2497, 2361, 4160, 1011, 10768, 1012, 1044, 1000, 1012, 1012, 1012, 2053, 9530, 8873, 27390, 2063, 1024, 4526, 1012, 1013, 9530, 8873, 2290, 1012, 3570, 9530, 8873, 2290, 1012, 3570, 1024, 4526, 5034, 2278, 1013, 2191, 10755, 2015, 1008, 1008, 5622, 5910, 1043, 9468, 1011, 1049, 21084, 1011, 2358, 2094, 1027, 27004, 2683, 2683, 1011, 1045, 1013, 2149, 2099, 1013, 2421, 1013, 1054, 1011, 1040, 13629, 8569, 2290, 1011, 1045, 1011, 1045, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1011, 1042, 24330, 1011, 1051, 2475, 1011, 1043, 1011, 8667, 1011, 2813, 1011, 1059, 2361, 1010, 1011, 1040, 1035, 3481, 8757, 1035, 3120, 1027, 1016, 1011, 10768, 2595, 24422, 2015, 1011, 1042, 9153, 3600, 1011, 16167, 1011, 2844, 1011, 1011, 11498, 2213, 1027, 7020, 2361, 1011, 17698, 1011, 2946, 1027, 1018, 1011, 18180, 4103, 1011, 1043, 9468, 1011, 15924, 1011, 1049, 21084, 1011, 11047, 9816, 1027, 12391, 1011, 1039, 12667, 1011, 16962, 2072, 1012, 1039, 1011, 1051, 12667, 1011, 16962, 2072, 1012, 1051, 1043, 9468, 1011, 1049, 21084, 1011, 2358, 2094, 1027, 27004, 2683, 2683, 1011, 1045, 1013, 2149, 2099, 1013, 2421, 1013, 1054, 1011, 1040, 13629, 8569, 2290, 1011, 1045, 1011, 1045, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1011, 1042, 24330, 1011, 1051, 2475, 1011, 1043, 1011, 8667, 1011, 2813, 1011, 1059, 2361, 1010, 1011, 1040, 1035, 3481, 8757, 1035, 3120, 1027, 1016, 1011, 10768, 2595, 24422, 2015, 1011, 1042, 9153, 3600, 1011, 16167, 1011, 2844, 1011, 1011, 11498, 2213, 1027, 7020, 2361, 1011, 17698, 1011, 2946, 1027, 1018, 1011, 18180, 4103, 1011, 1043, 9468, 1011, 15924, 1011, 1049, 21084, 1011, 11047, 9816, 1027, 12391, 1011, 1039, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1039, 1011, 1051, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1051, 1999, 5371, 2443, 2013, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1039, 1024, 1021, 1024, 1014, 1024, 12667, 1011, 2695, 17603, 2015, 4160, 2140, 1012, 1044, 1024, 2603, 1024, 2656, 1024, 10611, 7561, 1024, 5622, 2497, 2361, 4160, 1011, 10768, 1012, 1044, 1024, 2053, 2107, 5371, 2030, 14176, 1001, 2421, 1000, 5622, 2497, 2361, 4160, 1011, 10768, 1012, 1044, 1000, 1034, 6268, 12527, 1012, 2191, 1024, 1008, 1008, 1008, 1031, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1051, 1033, 7561, 1015, 7561, 1024, 6268, 3478, 2005, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 1008, 9268, 1520, 1013, 2188, 1013, 1046, 2243, 1013, 1054, 1013, 1060, 20842, 1035, 4185, 1011, 2417, 12707, 1011, 11603, 1011, 27004, 1011, 3075, 1013, 1017, 1012, 1017, 1013, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 5432, 1999, 16500, 1012, 14555, 1024, 8272, 1997, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 2018, 2512, 1011, 5717, 6164, 3570, 1996, 8272, 14176, 1997, 2695, 17603, 2015, 4160, 2140, 1023, 1012, 1020, 2003, 1013, 23569, 1013, 2695, 17603, 2015, 4160, 2140, 1013, 1023, 1012, 1020, 1013, 8026, 2029, 2987, 1005, 1056, 4025, 2000, 2022, 1999, 1996, 7561, 2682, 1012, 2071, 2619, 2393, 2033, 2000, 10663, 2023, 7561, 1029, 10086, 1015, 1024, 4283, 2000, 1996, 10293, 1997, 1030, 13697, 9103, 8737, 2121, 1010, 1045, 2288, 9436, 1997, 2682, 7561, 1012, 2021, 2085, 2893, 2023, 7561, 2029, 3065, 2070, 4394, 16129, 6971, 1012, 1028, 16500, 1012, 14555, 1006, 1000, 1054, 19894, 17603, 2015, 4160, 2140, 1000, 1007, 23658, 7427, 2046, 1520, 1013, 2188, 1013, 1046, 2243, 1013, 1054, 1013, 1060, 20842, 1035, 4185, 1011, 2417, 12707, 1011, 11603, 1011, 27004, 1011, 3075, 1013, 1017, 1012, 1017, 1521, 1006, 2004, 1520, 5622, 2497, 1521, 2003, 25851, 1007, 2667, 24471, 2140, 1005, 16770, 1024, 1013, 1013, 13675, 2319, 1012, 12667, 8525, 20617, 1012, 4012, 1013, 5034, 2278, 1013, 9530, 18886, 2497, 1013, 1054, 19894, 17603, 2015, 4160, 2140, 1035, 1014, 1012, 1018, 1011, 1015, 1012, 16985, 1012, 1043, 2480, 1005, 4180, 2828, 1005, 4242, 1005, 3091, 4700, 2575, 11387, 2549, 27507, 1006, 4805, 2629, 21677, 1007, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 22817, 4805, 2629, 21677, 1008, 23658, 1008, 3120, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 1012, 1012, 1012, 1008, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 5147, 4895, 23947, 2098, 1998, 9108, 2629, 20571, 7039, 9361, 2005, 1043, 9468, 1012, 1012, 1012, 1043, 9468, 9361, 2005, 1039, 21624, 12398, 6434, 5371, 2171, 1012, 1012, 1012, 1037, 1012, 2041, 9361, 3251, 1996, 1039, 21624, 2573, 1012, 1012, 1012, 2748, 9361, 3251, 2057, 2024, 2892, 21953, 1012, 1012, 1012, 2053, 9361, 2005, 16809, 1997, 4654, 8586, 23056, 2015, 1012, 1012, 1012, 9361, 2005, 16809, 1997, 4874, 6764, 1012, 1012, 1012, 1051, 9361, 3251, 2057, 2024, 2478, 1996, 27004, 1039, 21624, 1012, 1012, 1012, 2748, 9361, 3251, 1043, 9468, 13385, 1011, 1043, 1012, 1012, 1012, 2748, 9361, 2005, 1043, 9468, 5724, 2000, 5138, 11163, 1039, 2620, 2683, 1012, 1012, 1012, 3904, 2734, 9361, 3857, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 3677, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 4539, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 2005, 18720, 1035, 9530, 8873, 2290, 1012, 1012, 1012, 2053, 9530, 8873, 27390, 2063, 1024, 9361, 2005, 2695, 17603, 2015, 4160, 2140, 20346, 6764, 9530, 8873, 27390, 2063, 1024 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 14684, 14075, 9594, 3762, 5785, 19031, 13046, 18452, 2079, 2017, 3342, 1996, 6429, 14684, 14075, 9594, 3762, 19817, 16093, 28331, 2013, 1037, 3204, 2030, 2061, 3283, 1029, 1996, 19817, 16093, 28331, 2008, 1045, 13405, 2044, 2026, 5440, 3256, 6949, 1997, 2035, 2051, 1516, 3841, 1004, 6128, 1521, 1055, 14684, 14075, 9594, 3762, 1029, 2005, 2216, 1997, 2017, 2040, 2089, 2025, 2031, 2657, 1997, 2009, 1010, 14684, 14075, 9594, 3762, 3774, 1997, 21161, 3256, 6949, 16480, 3600, 2440, 1997, 21443, 12136, 1011, 3561, 1010, 7967, 1011, 3139, 3653, 23102, 4877, 1012, 2009, 2288, 2033, 2083, 2267, 1010, 1998, 1045, 2145, 2064, 1521, 1056, 2131, 2438, 1997, 2008, 14894, 5257, 2000, 2023, 2154, 1012, 2445, 2129, 2172, 1045, 3866, 1996, 19817, 16093, 28331, 1010, 1998, 2129, 2172, 2017, 2035, 2056, 2017, 3866, 1996, 19817, 16093, 28331, 1010, 1045, 2318, 14332, 20654, 2075, 2055, 2060, 2477, 2008, 1045, 2071, 2404, 1037, 14684, 14075, 9594, 3762, 6714, 2006, 1998, 2234, 2039, 2007, 2122, 21443, 12136, 1011, 3653, 23102, 2140, 5785, 19031, 13046, 18452, 9370, 2007, 7967, 1012, 2831, 2055, 26855, 2075, 999, 3180, 5785, 19031, 13046, 18452, 2131, 2070, 21443, 12136, 2794, 2000, 1996, 12501, 9409, 9067, 8261, 2015, 1010, 1998, 2059, 1999, 2173, 1997, 2070, 1997, 1996, 5785, 19031, 13046, 1010, 2017, 5587, 4109, 1997, 10560, 2039, 3653, 23102, 4877, 1010, 1998, 1045, 4711, 1999, 2070, 21443, 12136, 11772, 2005, 2130, 2062, 21443, 12136, 14894, 1012, 2059, 1010, 1997, 2607, 1010, 2027, 2024, 9370, 2007, 7967, 1012, 2065, 2017, 2215, 2000, 2039, 1996, 7967, 5387, 1010, 2017, 2071, 2467, 5466, 2070, 7967, 11772, 1999, 2007, 1996, 21443, 12136, 11772, 1006, 2030, 19948, 2068, 1007, 1012, 1045, 2228, 2122, 2031, 2019, 12476, 5703, 1997, 2035, 2093, 26389, 1010, 1998, 2064, 1521, 1056, 2644, 5983, 2068, 1012, 2348, 2008, 1521, 1055, 2025, 9352, 11341, 2144, 1045, 2572, 1037, 4121, 5470, 2005, 5785, 19031, 13046, 18452, 1998, 2572, 2467, 1037, 26476, 2005, 2151, 4569, 8386, 2006, 1996, 4438, 17974, 1012, 2079, 2017, 2031, 1037, 5440, 2544, 1997, 5785, 19031, 13046, 18452, 1029, 1045, 2467, 2293, 4531, 2047, 9903, 999, 7826, 1024, 1015, 1012, 21956, 1037, 1023, 2595, 17134, 1011, 4960, 21522, 9841, 1025, 2275, 4998, 1012, 1016, 1012, 14899, 1996, 12136, 1999, 1037, 2312, 12901, 9739, 2058, 2659, 3684, 1012, 5587, 1996, 9409, 9067, 8261, 2015, 1998, 16130, 2127, 3294, 12501, 1012, 6366, 2013, 3684, 1012, 1017, 1012, 2125, 1996, 3684, 1010, 5587, 1996, 21443, 12136, 1998, 16130, 2127, 3294, 12501, 1998, 5744, 1012, 5587, 1996, 5785, 19031, 13046, 20943, 1010, 3653, 23102, 2140, 4109, 1998, 21443, 12136, 11772, 1010, 18385, 5251, 2127, 2035, 4318, 12760, 2024, 15026, 1012, 2735, 1996, 8150, 2046, 1996, 4810, 21522, 9841, 1998, 2811, 2009, 2046, 1996, 6090, 1010, 4526, 2019, 2130, 2327, 1012, 1018, 1012, 18302, 1996, 7967, 11772, 2006, 2753, 1003, 2373, 1999, 2382, 1011, 2117, 14025, 1010, 18385, 2044, 2169, 1010, 2127, 3294, 12501, 1998, 5744, 1012, 10364, 1996, 7967, 2058, 1996, 18452, 1998, 3659, 1999, 2019, 2130, 6741, 2007, 2019, 16396, 14690, 7068, 1012, 2292, 4658, 2012, 2282, 4860, 2127, 2275, 1010, 2055, 1015, 3178, 1012, 1006, 2017, 2064, 2036, 25416, 3089, 4590, 3686, 1996, 18452, 2005, 2055, 2382, 2781, 2000, 3177, 2039, 1996, 2832, 1012, 1007, 3573, 2187, 24302, 2012, 2282, 4860, 1999, 2019, 2250, 26143, 11661, 1012, 6079, 7928, 2265, 2033, 1024, 7928, 2122, 2298, 25933, 11057, 16103, 3070, 1012, 1045, 2228, 11281, 5785, 19031, 14756, 18452, 2024, 3352, 1037, 2518, 1012, 1045, 1521, 2310, 2042, 2852, 13669, 2075, 2058, 1037, 14418, 10199, 6097, 8447, 10092, 5785, 19031, 14756, 7438, 1045, 2387, 2006, 1037, 9927, 1037, 2261, 2420, 3283, 1010, 1998, 2085, 1045, 1521, 1049, 11821, 3436, 2122, 2004, 2092, 999, 2034, 2051, 1010, 2146, 2051, 100, 2115, 14684, 14075, 9594, 3762, 19031, 13046, 2614, 2307, 1012, 2031, 2017, 2657, 1997, 7733, 3347, 14704, 1029, 2009, 2003, 2242, 1997, 2019, 5145, 2182, 1999, 2660, 1010, 1037, 2053, 8670, 3489, 14704, 2241, 2006, 5785, 17255, 1006, 19031, 13046, 1007, 1998, 7733, 6963, 999, 3407, 2000, 3745, 2065, 2017, 1521, 2128, 10326, 1012, 4067, 2017, 5035, 999, 1045, 1521, 1049, 6603, 2065, 2045, 2003, 1037, 2204, 7681, 2005, 1996, 8872, 3270, 1010, 2004, 2017, 2064, 1521, 1056, 2131, 2009, 2182, 1999, 1996, 1057, 1012, 1055, 1012, 1006, 2348, 1045, 2387, 2009, 2003, 2800, 2006, 9733, 1007, 1012, 2071, 16027, 12136, 2030, 3514, 2022, 2109, 1029, 2030, 15415, 2460, 7406, 1029, 2054, 2079, 2017, 2228, 1029, 7632, 9393, 1012, 2000, 2022, 7481, 1010, 1045, 2052, 2074, 18168, 4183, 2009, 1012, 1045, 1521, 2310, 2081, 7733, 3347, 14704, 2116, 2335, 1998, 2031, 2196, 11250, 2000, 14899, 8872, 3270, 2046, 1996, 7967, 1998, 1045, 3227, 2123, 1521, 1056, 8572, 2000, 2224, 8434, 7967, 2005, 1996, 22286, 2593, 1516, 2074, 1037, 2204, 3737, 1523, 5983, 3737, 1524, 6501, 7967, 1006, 2008, 2052, 2022, 28353, 4917, 1521, 1055, 2182, 1999, 11472, 999, 1007, 1045, 2228, 1045, 2031, 5552, 2296, 5785, 19031, 14756, 7438, 17974, 2017, 2031, 6866, 1012, 1045, 3866, 1996, 24227, 1521, 1055, 21443, 12136, 2452, 3924, 1012, 17111, 2080, 26855, 2075, 999, 1045, 2036, 2293, 2437, 5785, 19031, 14756, 18452, 2007, 12348, 9409, 9067, 8261, 2015, 1012, 1045, 2031, 6866, 1037, 2261, 2006, 2026, 2609, 2066, 25730, 17688, 2007, 11035, 6949, 8808, 10097, 2075, 1012, 2216, 2024, 2467, 4569, 999, 1998, 2823, 1045, 2941, 2066, 1996, 17839, 1006, 1998, 8491, 10250, 18909, 1007, 1997, 5810, 2214, 5785, 19031, 14756, 18452, 999, 10166, 1529, 2122, 2614, 2204, 1012, 1045, 2191, 3151, 1054, 2243, 18452, 2021, 1045, 5587, 21443, 12136, 2000, 12501, 7967, 1998, 3659, 2008, 2058, 1996, 18452, 1012, 1996, 2804, 1997, 3653, 23102, 4877, 4165, 2428, 2204, 999, 1045, 2052, 2293, 2000, 2156, 1996, 17974, 2013, 17151, 6494, 27861, 1529, 7733, 14704, 999, 3288, 2009, 2006, 999, 18168, 2290, 999, 1045, 2467, 2295, 14684, 14075, 9594, 3762, 2001, 2129, 2017, 3615, 2000, 2115, 3129, 999, 8840, 2140, 2122, 2298, 10392, 999, 999, 1045, 2228, 1045, 2342, 2000, 2191, 2122, 1010, 2505, 2007, 21443, 12136, 1998, 7967, 2003, 2183, 2000, 2022, 2204, 1010, 11504, 1045, 2180, 1521, 1056, 4521, 1996, 2878, 6090, 1012, 1045, 1521, 2222, 2022, 4214, 2017, 2043, 1045, 5114, 1019, 2062, 20702, 1012, 100, 2122, 2614, 2061, 2204, 999, 1045, 2066, 2437, 9850, 23801, 5785, 19031, 14756, 18452, 1011, 2074, 5587, 1015, 1013, 1018, 2452, 1997, 9850, 4666, 2000, 1996, 9409, 9067, 8261, 8150, 2077, 5815, 1996, 5785, 19031, 13046, 1012, 2027, 2024, 2190, 2043, 9370, 2007, 11867, 6657, 19099, 2015, 1010, 1998, 2027, 2175, 2058, 2200, 2092, 999, 100, 2122, 2074, 2614, 3972, 4509, 999, 999, 999, 2031, 2017, 2412, 2699, 2478, 2569, 1047, 20943, 2007, 1996, 13137, 22509, 2015, 1999, 2068, 1999, 2173, 1997, 1996, 5785, 19031, 13046, 1029, 1996, 16876, 2015, 2203, 2039, 14894, 2075, 1996, 9409, 9067, 8261, 2015, 1998, 2024, 2061, 9805, 18879, 1012, 2026, 2388, 2224, 2000, 2191, 2242, 2066, 2023, 2007, 19723, 1012, 2569, 1047, 20943, 1998, 1052, 2497, 1012, 1998, 7967, 2006, 2327, 2295, 1012, 2097, 2031, 2000, 5690, 2005, 2023, 17974, 2205, 999, 2821, 1045, 2572, 17111, 2080, 7501, 2085, 999, 999, 999, 2031, 2017, 2699, 18937, 10624, 2891, 2077, 1029, 2009, 1521, 1055, 1996, 2168, 2801, 2004, 2122, 6963, 2021, 2007, 12136, 9363, 10649, 11772, 12501, 2046, 1996, 7967, 2006, 2327, 1012, 2061, 1012, 2204, 1012, 1996, 17974, 2003, 2006, 1996, 5785, 19031, 13046, 4037, 1006, 2009, 1521, 1055, 3565, 3722, 1998, 2069, 3791, 2028, 9854, 2452, 999, 1007, 1012, 2307, 17974, 9393, 999, 2026, 2269, 2001, 3059, 1010, 1998, 2026, 2388, 2001, 2413, 1013, 3010, 1012, 2833, 2001, 2392, 1998, 2415, 2012, 2296, 2413, 1013, 3010, 2724, 1012, 1045, 2113, 1045, 2097, 2293, 2023, 17974, 1010, 2138, 1045, 2066, 1996, 24514, 1997, 10560, 3653, 23102, 4877, 1999, 2151, 27571, 3240, 18064, 1012, 1045, 2064, 1521, 1056, 3524, 2000, 2298, 2012, 2115, 2060, 19328, 999, 2026, 5440, 5785, 19031, 14756, 2675, 2003, 1996, 12136, 9363, 10649, 18452, 2012, 5785, 21638, 2483, 13046, 1012, 4012, 2008, 13265, 1037, 2978, 1997, 12136, 9363, 10649, 29593, 4666, 2046, 1996, 17974, 1010, 2029, 1045, 2689, 2039, 2011, 13053, 2006, 2026, 5440, 7967, 10097, 2075, 1012, 1045, 2123, 1521, 1056, 2066, 2000, 3524, 2005, 1996, 14320, 2000, 4658, 1010, 1998, 2023, 10097, 2075, 2064, 2022, 8542, 2006, 1996, 2980, 14320, 1010, 2030, 2006, 2980, 2829, 3111, 1010, 2030, 2980, 17776, 22619, 1010, 2157, 2041, 1997, 1996, 17428, 1012, 5959, 999, 1048, 6038, 2028, 14876, 7716, 2666, 3406, 6761, 12399, 1012, 23012, 11008, 1012, 4012, 2019, 11614, 3597, 6559, 8654, 26895, 22471, 2953, 1012, 23012, 11008, 1012, 4012, 3071, 22747, 11431, 10050, 3334, 8586, 28108, 1012, 23012, 11008, 1012, 4012, 17974, 23695, 29278, 22507, 14001, 2063, 1012, 23012, 11008, 1012, 4012, 2339, 2748, 1010, 1045, 2079, 2156, 2122, 12476, 19031, 7685, 18452, 1999, 2026, 2925, 999, 1045, 2031, 2000, 6449, 2295, 1010, 2026, 5440, 2024, 1996, 17704, 26729, 5810, 2214, 13405, 3924, 2017, 2424, 1999, 1996, 10236, 4842, 2012, 3806, 3703, 1998, 2477, 1012, 2027, 2287, 2066, 1037, 2986, 4511, 100, 2074, 2179, 2115, 9927, 1998, 2572, 7568, 2000, 8849, 999, 2122, 2079, 2614, 12090, 1012, 2005, 2033, 1010, 1037, 3145, 14894, 1999, 14684, 14075, 9594, 3762, 2003, 1996, 15451, 2102, 1999, 1996, 21161, 3256, 6949, 1012, 1045, 1521, 1049, 2183, 2000, 3046, 2122, 2007, 2070, 15451, 2102, 9898, 13551, 1999, 1012, 1045, 1521, 2222, 2292, 2017, 2113, 2129, 2027, 2735, 2041, 1012, 2026, 5440, 2544, 2003, 1037, 25730, 17688, 19031, 14756, 18452, 2008, 1045, 2191, 2007, 9413, 7974, 8747, 1521, 1055, 15594, 2100, 2829, 5785, 20943, 1012, 2026, 2365, 8823, 1016, 14108, 2229, 2428, 2855, 1998, 4122, 2062, 1012, 2081, 2033, 2191, 1037, 14108, 2000, 3288, 2000, 2256, 2814, 2160, 2006, 4234, 2154, 1012, 2016, 3866, 2068, 2205, 1012, 2023, 3504, 6429, 2205, 1012, 1045, 2089, 2191, 2122, 2005, 10113, 1521, 1055, 2154, 1516, 2005, 2026, 10113, 1516, 9594, 3762, 1997, 2570, 2086, 2040, 2003, 1037, 1052, 2497, 5470, 12070, 1012, 4283, 2005, 2437, 2033, 17111, 2080, 7501, 1012, 1045, 2081, 2122, 3892, 1998, 2115, 1042, 24755, 14693, 2050, 999, 2122, 2234, 2041, 10392, 999, 1045, 20706, 4156, 7967, 1998, 21443, 12136, 17107, 4877, 2021, 2027, 2357, 2041, 12476, 999, 2074, 1037, 2210, 2062, 21443, 12136, 12090, 2791, 999, 1996, 1042, 24755, 14693, 2050, 1045, 1056, 28075, 2098, 1037, 2978, 1006, 2383, 2499, 1999, 1037, 18112, 2005, 2086, 1007, 2021, 2145, 2234, 2041, 2307, 999, 2307, 4037, 999, 999, 4283, 2005, 6631, 2035, 2115, 19328, 999, 1045, 2031, 2081, 1019, 14108, 2229, 1997, 2068, 1998, 2031, 8828, 2012, 2560, 1018, 1997, 2068, 2870, 999, 2004, 1037, 2047, 3566, 2040, 2003, 2025, 2893, 2172, 3637, 1998, 18345, 2006, 5699, 2000, 2562, 2033, 8300, 1010, 2122, 2031, 2272, 1999, 18801, 2012, 2035, 2847, 1997, 1996, 2154, 999, 1045, 2031, 2130, 2039, 5669, 1996, 3653, 23102, 2140, 1013, 19031, 14756, 6463, 2138, 1045, 2293, 1996, 2804, 1997, 1996, 23592, 1012, 3071, 3632, 4689, 2005, 2068, 1010, 2006, 1996, 4678, 6686, 2000, 5454, 2000, 3745, 999, 4283, 2005, 2023, 2028, 999, 999, 2393, 999, 2023, 17974, 6135, 10424, 19966, 20370, 2033, 1012, 1045, 1521, 1049, 1037, 3492, 18568, 1998, 29118, 5660, 1013, 6243, 1998, 2245, 2122, 2052, 2022, 3733, 2000, 11473, 2039, 1012, 1045, 1521, 2310, 2699, 3807, 2085, 1998, 2467, 8087, 1996, 2168, 3291, 1529, 2043, 1045, 2202, 1996, 12136, 1013, 9409, 9067, 8261, 8150, 2125, 1996, 16247, 1998, 5587, 1996, 21443, 12136, 1010, 1996, 4666, 4627, 2000, 10551, 2368, 2000, 1996, 2391, 2008, 2498, 2064, 2022, 2794, 2000, 2009, 1012, 2054, 2572, 1045, 2725, 3308, 1029, 3531, 2393, 1012, 4283, 999, 7632, 10454, 1010, 2017, 2071, 2224, 1996, 3019, 21443, 12136, 2008, 2515, 2025, 5478, 18385, 2030, 25416, 3089, 4590, 3370, 1516, 1045, 2903, 2008, 10147, 2546, 1998, 13558, 7685, 2119, 2191, 4617, 1997, 2023, 1012, 1045, 2052, 2994, 2185, 2013, 1996, 3019, 9903, 2008, 5478, 18385, 1998, 25416, 3089, 4590, 3370, 1010, 2004, 2009, 1521, 1055, 3227, 2205, 3514, 2100, 1012, 7632, 1010, 4283, 2005, 2023, 17974, 999, 2178, 2028, 1997, 2115, 8466, 2419, 2033, 2182, 1010, 1045, 2293, 1996, 11157, 6971, 1012, 2122, 2020, 2061, 2204, 1010, 1045, 2081, 2068, 2005, 1037, 3185, 2283, 1012, 1996, 1052, 2497, 2001, 2061, 24519, 4606, 23592, 24514, 2100, 3653, 23102, 4877, 999, 1996, 7967, 11772, 2006, 2327, 2404, 2033, 2058, 1996, 3341, 1012, 1045, 2064, 1521, 1056, 2131, 2438, 1012, 1045, 2562, 3788, 2011, 1998, 6276, 2125, 2178, 2210, 15876, 8950, 1010, 1998, 2178, 1012, 1012, 1012, 1045, 2228, 2009, 2097, 2022, 1037 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 2424, 1037, 3105, 2008, 2017, 2293, 1012, 2348, 2147, 2003, 2019, 3517, 23382, 13373, 1010, 2115, 2476, 5807, 1005, 1056, 2022, 28285, 1012, 2065, 2017, 5223, 2054, 2017, 2079, 1010, 2017, 4995, 1005, 1056, 2183, 2000, 2022, 3407, 1010, 5810, 1998, 3722, 1012, 2017, 2123, 1005, 1056, 2342, 2000, 2293, 2296, 7814, 1997, 2115, 3105, 1010, 2021, 2009, 3791, 2000, 2022, 10990, 2438, 2008, 2017, 2123, 1005, 1056, 14436, 2893, 2041, 1997, 2793, 2296, 2851, 1012, 4531, 1037, 3105, 2008, 2017, 2024, 2061, 13459, 2055, 2017, 2052, 2079, 2009, 2005, 2489, 1012, 2065, 2115, 3105, 2003, 19689, 2017, 1010, 1998, 2017, 2024, 4531, 2009, 3697, 2000, 2079, 1996, 2477, 2017, 2293, 2648, 1997, 2147, 1010, 2242, 2003, 3308, 1012, 2017, 2089, 2022, 2551, 1999, 1037, 11704, 4044, 1010, 2005, 1037, 11704, 2711, 1010, 2030, 2725, 1037, 3105, 2008, 2017, 5621, 2123, 1005, 1056, 2293, 1012, 2065, 2023, 2003, 1996, 2553, 1010, 2009, 2003, 2051, 2000, 2424, 1037, 2047, 3105, 1012, 1012, 3745, 1996, 2147, 1012, 2017, 2123, 1521, 1056, 2031, 2000, 2079, 2673, 999, 13024, 2070, 2393, 2013, 2115, 3507, 5126, 2030, 2155, 2372, 1012, 11849, 10198, 1010, 1998, 2017, 1521, 2222, 2131, 2673, 2589, 1999, 1037, 23259, 5450, 1012, 2023, 27777, 2136, 6198, 1998, 3084, 3071, 2514, 2066, 2027, 1521, 2310, 2081, 1037, 6691, 1012, 2009, 2036, 3957, 2017, 2070, 4335, 2096, 2115, 2393, 2545, 5114, 1037, 3168, 1997, 24718, 1012, 2191, 6912, 1037, 2442, 1011, 2079, 1010, 2025, 1037, 2323, 1011, 2079, 2009, 1521, 1055, 3733, 2000, 17542, 1996, 9726, 1010, 1996, 3944, 2448, 2030, 1996, 13272, 2465, 2138, 1037, 7396, 4122, 2242, 2589, 7483, 1012, 2612, 1010, 5676, 6912, 2003, 2445, 2004, 2172, 9470, 2004, 2115, 7846, 1998, 2437, 2769, 1012, 1037, 7965, 2303, 2965, 1037, 4840, 2568, 1010, 2029, 2965, 2017, 2097, 3853, 2488, 1998, 3143, 8518, 1999, 2625, 2051, 1012, 5323, 7372, 2275, 4189, 1998, 12689, 6537, 2006, 2054, 2017, 2097, 1998, 2097, 2025, 2079, 2119, 2012, 2147, 1998, 2012, 2188, 1012, 4415, 10639, 2122, 7372, 2000, 2115, 12366, 1010, 11190, 2953, 11451, 1010, 4256, 1998, 2155, 1012, 2005, 6013, 1010, 2017, 2453, 10797, 2000, 2025, 2551, 2397, 2006, 3056, 2420, 4983, 2045, 2003, 1037, 5325, 1012, 5678, 1010, 2275, 4998, 1037, 2051, 2012, 2188, 2076, 2029, 2017, 2097, 2025, 4638, 2030, 6869, 2000, 2147, 1011, 3141, 22028, 2030, 2376, 5653, 2015, 1012, 2202, 1037, 10885, 1012, 2823, 1010, 5621, 4895, 24759, 15916, 4726, 2965, 2635, 10885, 2051, 1998, 17521, 2147, 3294, 2125, 2005, 1037, 2096, 1012, 3251, 2115, 10885, 3774, 1997, 1037, 2028, 1011, 2154, 2994, 10719, 2030, 1037, 2048, 1011, 2733, 4440, 2000, 20222, 1010, 2009, 1005, 1055, 2590, 2000, 2202, 2051, 2125, 2000, 8186, 1998, 10597, 28667, 8167, 3351, 1012, 2429, 2000, 1996, 2110, 1997, 2137, 10885, 2760, 2817, 4146, 2011, 1996, 1057, 1012, 1055, 1012, 3604, 2523, 1010, 4720, 1003, 1997, 5126, 2988, 2383, 15171, 10885, 2420, 2187, 2058, 2012, 1996, 2203, 1997, 1996, 2095, 1012, 5126, 2024, 2411, 5191, 2008, 2635, 2051, 2125, 2097, 23217, 1996, 2147, 12314, 1010, 1998, 2027, 2097, 2022, 2777, 2007, 1037, 2067, 21197, 1997, 2147, 2043, 2027, 2709, 1012, 2023, 3571, 2323, 2025, 21573, 2017, 2013, 2635, 1037, 2172, 1011, 2734, 3338, 1012, 1996, 3606, 2003, 1010, 2045, 2003, 2053, 11760, 1999, 2025, 2635, 2092, 1011, 10849, 2051, 2185, 2013, 2147, 1025, 1996, 6666, 1997, 2635, 1037, 2154, 2125, 2521, 2041, 27204, 2232, 1996, 12482, 8621, 1012, 2007, 5372, 4041, 1010, 2017, 2064, 2202, 2051, 2185, 2302, 15366, 2055, 10859, 2075, 2115, 8628, 2030, 27481, 2075, 2007, 1037, 4121, 2147, 11066, 2043, 2017, 2709, 1012, 11027, 14836, 2015, 1012, 2065, 2115, 3167, 2166, 15115, 2015, 2007, 2115, 3105, 1010, 2275, 2070, 7372, 1012, 2022, 3813, 2043, 2017, 2031, 2147, 2000, 3926, 1012, 28085, 6976, 3167, 4455, 2030, 7879, 1012, 28085, 6976, 3167, 4455, 2030, 7879, 1012, 2681, 2115, 3526, 3042, 1999, 1996, 2482, 2030, 6942, 2009, 2125, 2076, 2147, 2847, 1012, 8536, 2591, 6026, 2007, 2522, 1011, 3667, 2127, 2115, 2147, 2003, 2589, 1012, 2320, 2017, 1521, 2310, 4342, 2000, 5460, 4179, 2115, 2147, 10259, 1010, 2017, 1521, 2222, 2424, 2008, 2017, 2053, 2936, 14436, 2183, 2000, 2147, 1998, 5026, 2009, 2035, 2188, 1006, 2030, 5494, 1996, 2341, 2000, 2115, 2188, 2436, 1007, 1012, 5674, 4209, 2008, 2017, 1521, 2128, 3201, 2000, 2707, 2115, 2154, 2612, 1997, 2652, 4608, 2039, 2013, 7483, 1012, 2202, 2051, 2000, 2191, 2051, 15697, 1999, 2051, 1011, 9651, 5906, 1012, 2045, 2024, 7564, 1997, 5906, 2017, 2064, 2224, 2000, 2650, 2673, 2013, 1996, 6075, 1998, 9367, 1997, 6295, 1010, 2000, 11777, 1998, 16401, 5260, 1012, 2051, 1011, 9651, 4007, 4473, 2017, 2000, 2855, 3857, 2019, 4824, 1997, 2129, 2146, 1037, 3327, 4708, 3138, 1012, 2008, 2126, 1010, 2017, 2064, 6464, 10197, 2129, 2146, 2115, 2279, 2147, 4708, 2097, 2202, 1012, 2022, 12689, 2012, 1996, 2203, 1997, 2169, 2551, 2154, 1010, 4685, 1037, 2210, 2969, 1011, 4106, 1012, 3198, 4426, 2054, 2499, 2651, 1010, 2054, 2134, 1521, 1056, 1010, 2054, 2253, 3308, 1998, 2129, 1996, 3277, 2064, 2022, 4964, 1012, 3342, 2045, 2024, 5190, 1997, 5661, 2074, 2066, 6737, 4083, 1996, 2168, 8220, 2296, 2154, 1012, 2123, 1521, 1056, 5293, 2000, 11112, 2046, 1996, 7070, 4219, 2105, 2017, 1516, 2115, 12746, 1516, 2005, 2393, 1012, 3188, 25090, 4371, 2115, 2740, 1012, 2115, 3452, 3558, 1010, 6832, 1998, 5177, 2740, 2323, 2022, 2115, 2364, 5142, 1012, 2065, 2017, 5998, 2007, 10089, 2030, 6245, 1998, 2228, 7242, 2052, 5770, 2017, 1010, 4906, 2216, 6521, 2046, 2115, 6134, 1010, 2130, 2065, 2017, 2031, 2000, 2681, 2147, 2220, 2030, 14033, 2115, 3944, 6714, 2465, 1012, 2065, 2017, 2024, 17773, 1037, 11888, 7355, 1010, 2123, 1005, 1056, 2022, 4452, 2000, 2655, 1999, 5305, 2006, 5931, 2420, 1012, 2058, 21398, 4426, 16263, 2017, 2013, 2893, 2488, 1010, 4298, 4786, 2017, 2000, 2202, 2062, 2420, 2125, 1999, 1996, 2925, 1012, 3188, 25090, 6774, 2115, 2740, 2034, 1998, 16097, 2097, 2191, 2017, 1037, 2488, 7904, 1998, 2711, 1012, 2017, 2097, 3335, 2625, 2147, 1010, 1998, 2043, 2017, 2024, 2045, 1010, 2017, 2097, 2022, 19366, 1998, 2062, 13318, 1012, 2831, 2009, 2041, 2007, 2115, 23029, 2831, 2009, 2041, 2007, 2115, 23029, 2009, 1005, 1055, 5114, 3993, 2000, 2562, 1996, 11061, 3210, 2330, 2007, 2115, 2147, 2472, 1010, 17850, 1010, 1998, 23029, 1012, 2022, 3634, 3867, 11476, 1998, 19647, 1012, 6814, 2017, 2064, 1005, 1056, 6162, 2436, 2006, 2051, 2144, 2017, 2342, 2000, 4530, 2115, 2775, 2000, 2465, 1010, 2027, 2064, 9585, 2017, 2000, 2041, 2011, 4363, 2115, 2147, 2847, 15581, 3085, 1012, 2006, 1996, 2125, 3382, 2008, 2008, 2003, 2019, 3277, 1010, 2022, 2275, 2039, 2007, 11322, 3512, 6998, 2005, 2265, 2129, 1996, 2607, 1997, 2895, 2180, 1005, 1056, 3747, 2115, 7781, 1998, 8122, 1012, 2191, 2051, 2005, 4426, 1998, 2115, 3866, 3924, 1012, 2096, 2115, 3105, 2003, 2590, 1010, 2009, 5807, 1005, 1056, 2022, 2115, 2972, 2166, 1012, 2017, 2020, 2019, 3265, 2077, 2635, 2023, 2597, 1010, 1998, 2017, 2323, 3188, 25090, 4371, 1996, 3450, 2030, 7570, 27982, 2008, 2191, 2017, 3407, 1012, 10910, 2147, 1011, 2166, 5703, 5942, 15063, 2895, 1012, 2065, 2017, 2079, 2025, 7933, 2933, 2005, 3167, 2051, 1010, 2017, 2097, 2196, 2031, 2051, 2000, 2079, 2060, 2477, 2648, 1997, 2147, 1012, 2053, 3043, 2129, 2002, 13306, 2115, 6134, 2453, 2022, 1010, 2017, 4821, 2031, 2491, 1997, 2115, 2051, 1998, 2166, 1012, 2043, 4041, 2051, 2007, 2115, 3866, 3924, 1010, 3443, 1037, 8094, 2005, 6298, 1998, 2155, 5246, 1012, 2009, 2089, 4025, 6881, 2000, 2933, 2028, 1011, 2006, 1011, 2028, 2051, 2007, 2619, 2017, 2444, 2007, 1010, 2021, 2009, 2097, 5676, 2008, 2017, 5247, 3737, 2051, 2007, 2068, 2302, 2147, 1011, 2166, 4736, 1012, 2074, 2138, 2147, 7906, 2017, 5697, 2987, 1005, 1056, 2812, 2017, 2323, 19046, 3167, 6550, 1012, 5382, 2008, 2053, 2028, 2012, 2115, 2194, 2003, 2183, 2000, 2293, 2017, 2030, 9120, 2017, 1996, 2126, 2115, 3866, 3924, 2079, 1012, 2036, 2008, 3071, 2003, 5672, 3085, 2012, 2147, 1010, 1998, 2053, 3043, 2129, 2590, 2017, 2228, 2115, 3105, 2003, 1010, 1996, 2194, 2097, 2025, 3335, 1037, 3786, 4826, 2065, 2017, 2024, 2908, 1012, 2131, 5220, 2007, 1996, 12233, 1997, 6098, 2045, 1005, 1055, 2498, 19721, 1999, 14622, 2008, 2017, 2064, 1005, 1056, 2079, 2673, 2035, 2894, 1998, 1037, 2210, 2393, 2071, 10956, 2115, 20193, 5151, 10859, 1012, 2011, 2725, 2673, 2981, 2013, 3087, 2842, 1010, 2017, 1005, 2128, 15095, 2075, 2115, 2303, 2004, 2092, 2004, 4292, 2009, 2039, 2005, 1037, 12554, 2101, 2006, 1012, 5454, 2054, 2017, 2323, 2079, 4426, 1998, 2054, 2500, 2064, 3066, 2007, 1012, 2298, 2005, 5375, 2013, 8628, 1010, 2166, 4256, 1010, 1998, 9064, 1012, 2017, 1998, 2115, 2166, 4256, 2064, 3584, 9413, 13033, 2015, 2061, 2008, 2119, 1997, 2017, 2123, 1005, 1056, 3571, 2746, 2000, 2188, 2206, 1037, 2146, 2551, 2154, 2012, 2436, 1012, 3961, 3378, 13463, 1996, 2154, 2006, 4070, 1997, 8144, 2008, 4209, 1996, 14165, 1998, 18913, 1997, 2115, 2814, 1998, 2155, 3475, 1005, 1056, 1037, 3231, 2151, 2936, 1012, 2296, 2309, 2551, 2388, 2064, 2302, 2172, 1997, 1037, 7683, 3961, 3378, 2007, 2037, 2402, 15608, 2096, 2027, 2024, 2551, 2012, 2436, 1012, 1999, 2553, 2017, 1005, 2128, 3110, 1996, 3279, 1997, 2115, 2336, 1010, 2017, 2064, 2191, 1037, 7026, 2655, 2030, 2130, 1037, 2678, 2655, 13463, 2115, 7954, 3338, 1998, 17763, 2006, 2147, 2007, 2053, 3778, 2030, 18859, 2012, 1996, 2067, 10497, 1012, 2023, 14017, 10732, 2015, 1996, 5939, 3489, 2008, 2017, 1005, 2128, 2485, 1998, 7297, 16171, 2017, 20811, 1037, 8401, 2154, 2012, 2147, 1012, 5787, 20150, 2015, 1998, 2051, 1011, 5490, 13860, 4063, 2545, 2043, 2017, 2024, 1037, 2551, 2450, 1010, 10862, 2003, 10232, 1517, 2012, 2147, 1998, 2188, 1012, 2017, 2052, 2022, 15261, 2000, 5382, 2008, 20150, 2015, 2012, 2551, 4044, 2064, 3465, 2017, 2058, 2093, 2847, 2296, 2154, 1012, 2006, 1996, 2125, 3382, 2008, 2017, 2342, 2000, 2022, 5117, 1998, 15282, 1010, 2009, 1005, 1055, 8050, 2000, 2562, 1041, 4246, 2271, 3512, 21315, 1010, 3733, 26966, 4773, 19967, 1010, 3526, 11640, 1010, 1998, 2367, 20150, 2015, 2104, 2491, 1012, 2275, 13216, 2051, 3013, 7245, 2685, 2000, 4769, 7696, 1998, 7026, 27891, 1012, 2012, 2188, 1010, 14689, 18249, 2013, 14158, 11664, 2135, 1997, 2694, 1998, 2738, 1010, 2017, 2064, 16462, 2008, 4495, 2000, 19444, 2115, 5416, 2007, 2115, 16222, 25377, 13231, 1998, 2336, 1012, 2147, 25670, 2025, 6211, 2478, 2051, 2062, 18228, 2003, 2019, 2590, 8066, 2008, 3071, 2013, 1996, 23775, 2000, 1996, 5766, 2064, 4553, 1012, 16151, 1996, 2157, 5257, 1997, 2051, 1011, 2968, 6078, 2064, 3013, 6911, 1998, 3828, 2017, 2039, 2000, 2019, 3178, 1037, 2154, 1012, 2023, 2064, 2421, 1996, 2224, 1997, 2974, 2000, 2468, 2062, 4114, 1010, 19765, 22028, 1998, 2376, 7696, 1010, 9992, 4013, 26775, 14083, 12758, 1998, 4083, 2000, 2360, 1000, 2053, 1012, 1000, 21934, 28250, 1012, 2123, 1521, 1056, 2191, 2477, 8552, 1012, 2004, 4286, 1010, 2057, 7166, 2000, 2191, 4469, 2147, 2005, 9731, 2130, 2065, 2009, 1521, 1055, 14203, 1012, 2339, 27788, 15338, 1996, 5217, 1029, 2065, 2242, 2573, 1010, 2123, 1521, 1056, 3046, 2000, 8081, 2009, 1012, 2467, 3342, 1996, 3610, 4118, 1024, 2562, 2009, 3722, 10021, 1012, 2681, 2147, 2012, 2147, 4503, 1037, 5177, 2006, 1011, 2125, 6942, 2090, 2147, 1998, 2188, 1012, 2009, 7126, 2000, 5323, 1037, 17459, 4023, 2090, 1996, 2048, 18814, 1012, 2023, 2453, 8676, 1997, 5962, 2000, 2189, 2030, 2680, 2808, 2076, 2115, 3944, 4012, 26746, 1010, 28428, 2012, 1996, 10516, 2415, 1010, 2770, 9413, 13033, 2015, 1010, 2030, 4363, 3167, 14651, 1012, 19940, 2107, 3450, 3202, 2206, 2115, 3671, 2147, 2847, 2036, 16263, 2017, 2013, 5938, 2008, 4469, 3174, 2781, 2012, 1996, 2436, 2029, 2059, 4332, 2046, 2195, 2847, 1012, 4009, 1037, 2240, 2426, 2188, 1998, 2147, 4009, 1037, 2240, 2426, 2188, 1998, 2147, 2028, 1997, 1996, 2190, 11110, 2166, 2038, 6628, 2033, 2003, 2000, 2110, 2053, 2000, 2477, 2008, 2123, 1005, 1056, 2240, 2039, 2007, 2115, 3791, 1012, 3404, 2033, 1010, 2009, 2003, 1996, 4602, 25951, 2000, 6464, 26536, 9354, 2115, 2219, 1998, 6739, 2166, 1012, 3275, 2041, 2129, 2000, 9375, 6537, 2061, 2017, 2064, 2507, 2115, 2430, 4563, 2000, 2119, 1996, 3033, 1997, 2166, 1012, 2681, 2147, 2012, 2147, 1010, 2123, 1005, 1056, 2131, 2067, 2188, 2007, 2009, 1012, 2096, 19920, 2943, 2007, 2115, 2336, 1998, 16222, 25377, 13231, 1010, 2123, 1005, 1056, 2022, 2006, 1996, 7026, 6016, 7696, 2030, 3331, 2055, 2147, 2007, 9228, 1012, 2022, 5204, 1997, 2115, 2219, 7264, 1998, 4088, 3038, 2053, 2000, 2477, 2008, 4995, 1005, 1056, 2725 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1022, 1010, 1011, 6352, 1010, 1011, 22898, 1010, 20035, 1010, 4185, 2549, 1029, 11518, 2475, 2054, 3310, 2279, 1024, 1011, 12606, 1010, 1011, 3486, 2620, 1010, 1011, 5354, 2629, 1010, 1011, 6640, 2475, 1010, 1011, 10114, 2683, 1010, 1011, 7558, 2575, 1029, 1011, 16666, 2509, 2054, 2003, 1996, 2279, 2744, 1999, 11518, 2692, 2683, 2581, 1010, 20741, 16147, 2509, 1010, 28469, 22407, 2683, 1010, 4724, 2575, 22025, 2629, 1010, 5139, 27009, 2620, 2487, 1029, 3515, 19961, 2581, 2581, 2054, 2003, 1996, 2279, 2744, 1999, 16710, 1010, 8698, 1010, 5764, 2487, 1010, 10715, 2692, 1010, 8148, 2487, 1010, 19594, 2620, 1010, 25797, 2629, 1029, 4261, 16048, 2054, 3310, 2279, 1024, 25926, 2581, 1010, 19988, 2549, 1010, 24559, 2487, 1010, 17196, 2620, 1010, 26257, 2629, 1010, 27003, 2475, 1029, 24030, 2683, 2054, 2003, 1996, 2279, 2744, 1999, 18610, 21057, 1010, 18610, 2683, 2487, 1010, 18610, 2683, 2475, 1010, 18610, 2683, 2509, 1010, 18610, 2683, 2549, 1010, 18610, 2683, 2629, 1029, 18610, 2683, 2575, 2054, 2003, 2279, 1999, 12522, 2475, 1010, 4029, 22610, 2509, 1010, 5139, 2581, 15136, 1010, 5824, 2683, 2575, 2581, 1029, 6205, 19317, 2692, 2054, 3310, 2279, 1024, 1011, 4261, 23777, 1010, 1011, 4293, 22907, 1010, 1011, 12104, 14526, 1010, 1011, 5018, 2683, 2629, 1010, 1011, 6837, 2683, 1029, 1011, 21035, 2575, 2509, 2054, 2003, 2279, 1999, 16065, 24087, 1010, 16065, 27009, 1010, 16065, 22275, 1010, 16065, 25746, 1010, 16065, 22203, 1010, 16065, 12376, 1029, 16065, 26224, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 26738, 1010, 1011, 16471, 2487, 1010, 1011, 9402, 2581, 1010, 1011, 23988, 1029, 24673, 2054, 2003, 2279, 1999, 6535, 2620, 1010, 6227, 2509, 1010, 8746, 2692, 1010, 12567, 2683, 1010, 14677, 2692, 1010, 14748, 2509, 1010, 17403, 2620, 1029, 22606, 2054, 2003, 1996, 2279, 2744, 1999, 22376, 2549, 1010, 4749, 2581, 2575, 1010, 6356, 21057, 1010, 6694, 2575, 1010, 8732, 18827, 1010, 5018, 22932, 1029, 22370, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4278, 2581, 1010, 1011, 28202, 2575, 1010, 1011, 4029, 17134, 2581, 1010, 1011, 4185, 17788, 2692, 1010, 1011, 2531, 23499, 2629, 1010, 1011, 14748, 28311, 2475, 1010, 1011, 3476, 2620, 2487, 1029, 1011, 24368, 2692, 19317, 2054, 2003, 2279, 1999, 27671, 24096, 2629, 1010, 16087, 8889, 22407, 1010, 19883, 8889, 23632, 1010, 26871, 8889, 27009, 1029, 26271, 8889, 2575, 2581, 2054, 2003, 2279, 1999, 6146, 17465, 1010, 4293, 2581, 2581, 1010, 9683, 2509, 1010, 6421, 2683, 2683, 1010, 5824, 26187, 1010, 27671, 2487, 1029, 28066, 2581, 2054, 3310, 2279, 1024, 1011, 17442, 20958, 1010, 1011, 28122, 28154, 1010, 1011, 14010, 2692, 2581, 2575, 1010, 1011, 24621, 2683, 2509, 1029, 1011, 12875, 14526, 2692, 2054, 3310, 2279, 1024, 8574, 2620, 1010, 25578, 2683, 1010, 27517, 2475, 1010, 20263, 2581, 1010, 5764, 21084, 1010, 6275, 2620, 2509, 1029, 3938, 21084, 2054, 2003, 2279, 1999, 18582, 1010, 26963, 1010, 12457, 2629, 1010, 19843, 2487, 1010, 29327, 2683, 1010, 4749, 26224, 1010, 6353, 2575, 2487, 1029, 6109, 2683, 2629, 2054, 2003, 1996, 2279, 2744, 1999, 25745, 1010, 4583, 2683, 1010, 6640, 2487, 1010, 11518, 2629, 1010, 11502, 2487, 1010, 18914, 2683, 1010, 10011, 1029, 19843, 2487, 2054, 3310, 2279, 1024, 1011, 20636, 1010, 1011, 14078, 2692, 1010, 1011, 23980, 2487, 1010, 1011, 5401, 18139, 1010, 1011, 3938, 2620, 2581, 1010, 1011, 14677, 2620, 2549, 1010, 1011, 13140, 2629, 1029, 1011, 23593, 2581, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 6390, 1010, 1011, 29327, 1010, 1011, 6255, 2629, 1010, 1011, 8574, 2575, 1010, 1011, 20802, 2487, 1010, 1011, 19652, 2575, 1010, 1011, 4008, 2620, 2581, 1029, 1011, 5354, 14142, 2054, 2003, 1996, 2279, 2744, 1999, 12104, 1010, 21611, 1010, 4464, 2509, 1010, 4466, 2620, 1010, 5187, 2581, 1010, 4720, 2620, 1029, 4008, 2683, 2054, 2003, 2279, 1999, 22018, 27531, 2575, 1010, 22018, 27531, 2581, 1010, 22018, 27531, 2620, 1010, 22018, 27531, 2683, 1010, 22018, 20842, 2692, 1010, 22018, 20842, 2487, 1029, 22018, 20842, 2475, 2054, 2003, 1996, 2279, 2744, 1999, 19975, 1010, 2871, 2683, 1010, 4185, 2487, 1010, 6486, 2683, 1010, 12963, 2683, 1029, 16528, 2581, 2054, 2003, 1996, 2279, 2744, 1999, 11176, 2683, 2509, 1010, 12104, 12740, 1010, 12457, 17788, 1010, 10630, 27009, 1010, 12567, 22394, 1010, 13285, 2575, 2620, 1029, 13092, 26187, 2054, 3310, 2279, 1024, 20708, 2620, 1010, 3963, 19481, 2683, 1010, 28278, 2683, 2549, 1010, 13427, 2683, 21926, 1010, 4724, 2620, 2620, 21472, 1010, 6191, 15136, 2575, 2509, 1029, 5594, 2683, 2683, 2581, 2549, 2054, 2003, 1996, 2279, 2744, 1999, 24441, 27531, 2549, 1010, 4720, 24434, 2692, 2575, 1010, 6275, 24087, 27814, 1010, 9645, 2581, 23632, 2692, 1010, 7558, 2683, 23833, 2475, 1029, 17403, 14526, 16932, 2054, 3310, 2279, 1024, 22343, 2620, 1010, 5986, 27531, 1010, 20741, 16932, 1010, 4229, 2620, 14526, 1010, 3438, 2575, 2620, 2475, 1029, 6584, 23777, 2509, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4724, 23499, 2683, 2487, 1010, 1011, 4724, 23499, 2620, 2620, 1010, 1011, 4724, 23499, 2620, 2509, 1010, 1011, 4724, 23499, 2581, 2575, 1010, 1011, 4724, 23499, 2575, 2581, 1010, 1011, 4724, 23499, 26976, 1010, 1011, 4724, 23499, 23777, 1029, 1011, 4724, 23499, 22407, 2054, 2003, 2279, 1999, 1011, 4749, 2549, 1010, 1011, 4583, 2549, 1010, 1011, 6079, 2575, 1010, 1011, 23944, 1029, 1011, 6356, 2575, 2054, 3310, 2279, 1024, 1011, 6486, 1010, 1011, 20636, 1010, 1011, 4724, 2487, 1010, 1011, 5824, 2629, 1010, 1011, 7287, 2487, 1029, 1011, 14168, 2683, 2054, 3310, 2279, 1024, 26871, 1010, 13756, 1010, 22018, 1010, 17943, 1010, 4466, 1029, 1011, 14010, 2054, 2003, 2279, 1999, 4724, 2620, 1010, 4749, 2549, 1010, 13274, 1029, 3438, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 19936, 2629, 1010, 5594, 23632, 1010, 4444, 2487, 1010, 28358, 17788, 1010, 5187, 21486, 2509, 1010, 6146, 2581, 26187, 1029, 9645, 18139, 2487, 2054, 2003, 2279, 1999, 1011, 7886, 2692, 1010, 1011, 2531, 2549, 1010, 1011, 7886, 2475, 1010, 1011, 9645, 2692, 1010, 1011, 11518, 2549, 1029, 1011, 12963, 2692, 2054, 3310, 2279, 1024, 1011, 21005, 2509, 1010, 1011, 17273, 2620, 1010, 1011, 25162, 2581, 1010, 1011, 25586, 2549, 1010, 1011, 25745, 2509, 1010, 1011, 13427, 2620, 1010, 1011, 24709, 2509, 1010, 1011, 25103, 2475, 1029, 1011, 24398, 2683, 2054, 2003, 2279, 1999, 1011, 16459, 2475, 1010, 1011, 27200, 2683, 1010, 1011, 4008, 27814, 1010, 1011, 5354, 26224, 1010, 1011, 6356, 20958, 1010, 1011, 6486, 24434, 1029, 1011, 9645, 22022, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4229, 2581, 23777, 17134, 1010, 1011, 4229, 2581, 23777, 16932, 1010, 1011, 4229, 2581, 23777, 16068, 1029, 1011, 4229, 2581, 23777, 16048, 2054, 3310, 2279, 1024, 4724, 1010, 5786, 1010, 5354, 1010, 2570, 1010, 1011, 6079, 1029, 1011, 16798, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 25113, 2683, 1010, 1011, 19988, 2629, 1010, 1011, 4090, 2581, 2683, 1010, 1011, 19151, 2487, 1010, 1011, 22288, 2487, 1010, 1011, 5388, 2581, 2683, 1029, 1011, 3963, 19481, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 17222, 1010, 20311, 1010, 5764, 2475, 1010, 12904, 2629, 1010, 18582, 2549, 1010, 14993, 2629, 1010, 21777, 2549, 1010, 4090, 2683, 2581, 1029, 4601, 21057, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4261, 2549, 1010, 1011, 17696, 2620, 1010, 1011, 4029, 14142, 1010, 1011, 13757, 2575, 1010, 1011, 9402, 19317, 1010, 1011, 16471, 2620, 2549, 1010, 1011, 10476, 2620, 1029, 1011, 21611, 19841, 2054, 2003, 2279, 1999, 1011, 21064, 1010, 1011, 5764, 2475, 1010, 1011, 5594, 2549, 1010, 1011, 9645, 2575, 1010, 1011, 13138, 2620, 1029, 1011, 16065, 2692, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 10630, 2620, 2581, 2509, 1010, 1011, 10630, 2620, 2581, 2549, 1010, 1011, 10630, 2620, 23352, 1010, 1011, 10630, 2620, 2581, 2575, 1029, 1011, 10630, 2620, 2581, 2581, 2054, 2003, 2279, 1999, 1011, 5585, 22932, 2475, 1010, 1011, 5585, 22932, 2487, 1010, 1011, 5585, 22932, 2692, 1029, 1011, 5585, 23777, 2683, 2054, 3310, 2279, 1024, 1011, 14378, 12376, 1010, 1011, 14378, 22394, 1010, 1011, 14378, 2692, 2575, 1010, 1011, 11899, 2575, 2683, 1029, 1011, 11899, 19317, 2054, 3310, 2279, 1024, 1011, 8746, 2692, 1010, 1011, 18540, 2487, 1010, 1011, 3998, 2549, 1010, 1011, 4464, 2575, 2509, 1010, 1011, 22288, 2475, 1029, 1011, 5388, 16068, 2054, 2003, 2279, 1999, 1011, 13427, 2692, 2549, 1010, 1011, 25578, 2620, 2620, 1010, 1011, 25586, 22407, 1010, 1011, 25717, 18827, 1029, 1011, 21950, 2581, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 17867, 17134, 2683, 2581, 1010, 17867, 17134, 2683, 2575, 1010, 17867, 17134, 2683, 2629, 1010, 17867, 17134, 2683, 2549, 1010, 17867, 17134, 2683, 2509, 1010, 17867, 17134, 2683, 2475, 1029, 17867, 17134, 2683, 2487, 2054, 3310, 2279, 1024, 5354, 21472, 16068, 1010, 12963, 2683, 19317, 2575, 1010, 15331, 2620, 19481, 1010, 23297, 2620, 22932, 2475, 1010, 27502, 14142, 22610, 1010, 27509, 2581, 26187, 2692, 1029, 4601, 2575, 19317, 22203, 2054, 2003, 2279, 1999, 1011, 20666, 16048, 2692, 1010, 1011, 20666, 16068, 2683, 1010, 1011, 20666, 16048, 2620, 1010, 1011, 20666, 16147, 2509, 1010, 1011, 20666, 18827, 2692, 1010, 1011, 20666, 21486, 2629, 1010, 1011, 20666, 20958, 2549, 1010, 1011, 20666, 28311, 2509, 1029, 1011, 20666, 2581, 2575, 2620, 2054, 3310, 2279, 1024, 1011, 6356, 22407, 1010, 1011, 16459, 28154, 1010, 1011, 19015, 21057, 1010, 1011, 27502, 17465, 1010, 1011, 4261, 16068, 2475, 1010, 1011, 4008, 27814, 2509, 1029, 1011, 19611, 16932, 2054, 2003, 1996, 2279, 2744, 1999, 16087, 1010, 1011, 7558, 2575, 1010, 1011, 4261, 22407, 1010, 1011, 6390, 14142, 1010, 1011, 10630, 15136, 1029, 1011, 22685, 2620, 2054, 2003, 2279, 1999, 1011, 3359, 2581, 1010, 1011, 3411, 2549, 1010, 1011, 3285, 2509, 1010, 1011, 3381, 2549, 1010, 1011, 3326, 2581, 1010, 1011, 3299, 2475, 1010, 1011, 3355, 2683, 1029, 1011, 3245, 2620, 2054, 3310, 2279, 1024, 28048, 2475, 1010, 24673, 2509, 1010, 4229, 2620, 2549, 1010, 29335, 2629, 1010, 4261, 21472, 1010, 4029, 2581, 2581, 1029, 9475, 2620, 2054, 2003, 2279, 1999, 1011, 16621, 28311, 1010, 1011, 16621, 2575, 2509, 1010, 1011, 16621, 2575, 2683, 1010, 1011, 16621, 23352, 1010, 1011, 16621, 2620, 2487, 1010, 1011, 16621, 2620, 2581, 1029, 1011, 16621, 2683, 2509, 2054, 2003, 2279, 1999, 4261, 2509, 1010, 28048, 1010, 28161, 1010, 19611, 1010, 3438, 2683, 1029, 6390, 2620, 2054, 2003, 2279, 1999, 1011, 13206, 1010, 1011, 13140, 1010, 1011, 12410, 1010, 1011, 13036, 1029, 1011, 13397, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 6486, 16932, 1010, 1011, 7706, 2629, 1010, 1011, 6205, 26976, 1010, 1011, 6109, 2575, 2581, 1029, 1011, 5986, 22025, 2054, 2003, 1996, 2279, 2744, 1999, 20549, 2692, 2581, 2575, 1010, 20549, 2692, 23352, 1010, 20549, 2692, 2581, 2549, 1010, 20549, 2692, 2581, 2509, 1010, 20549, 2692, 2581, 2475, 1029, 20549, 2692, 2581, 2487, 2054, 3310, 2279, 1024, 1011, 24232, 2575, 2475, 1010, 1011, 13138, 22907, 2475, 1010, 1011, 25578, 22407, 2475, 1010, 1011, 4749, 22407, 20842, 1010, 1011, 29065, 2692, 2581, 2620, 1010, 1011, 7287, 2620, 27531, 2475, 1029, 1011, 5018, 2683, 11387, 2475, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 11518, 2509, 1010, 1011, 19936, 2487, 1010, 1011, 22904, 2629, 1010, 1011, 4601, 19481, 1010, 1011, 2753, 2620, 2487, 1029, 1011, 5354, 2683, 2509, 2054, 2003, 2279, 1999, 1011, 20405, 1010, 1011, 6070, 2629, 1010, 1011, 6863, 1010, 1011, 25392, 2683, 1010, 1011, 2753, 17788, 1010, 1011, 5824, 17788, 1010, 1011, 5818, 19961, 1029, 1011, 11899, 2683, 2487, 2054, 3310, 2279, 1024, 22376, 21057, 2487, 1010, 22376, 21057, 2692, 1010, 22376, 2620, 2683, 2683, 1010, 22376, 2620, 2683, 2620, 1010, 22376, 2620, 2683, 2581, 1010, 22376, 2620, 2683, 2575, 1029, 22376, 2620, 2683, 2629, 2054, 3310, 2279, 1024, 17696, 1010, 1011, 26628, 1010, 1011, 6535, 2549, 1010, 1011, 13029, 2509, 1010, 1011, 22593, 1010, 1011, 20802, 2581, 1010, 1011, 24231, 2475, 1029, 1011, 13710, 2683, 2054, 2003, 1996, 2279, 2744, 1999, 20304, 27814, 1010, 4805, 14142, 2683, 1010, 6353, 21472, 2692, 1029, 6227, 2575, 14526, 2054, 3310, 2279, 1024, 1011, 14748, 2620, 2509, 1010, 1011, 25797, 16086, 1010, 1011, 17422, 24434, 1010, 1011, 5388, 2620, 16932, 1010, 1011, 6421, 28154, 2487, 1029, 1011, 6070, 21619, 2620, 2054, 2003, 2279, 1999, 1011, 6535, 2692, 1010, 1011, 18610, 2683, 1010, 1011, 22234, 2620, 1010, 1011, 4090, 22907, 1010, 1011, 19540, 2575, 1029, 1011, 4868, 27531, 2054, 2003, 1996, 2279, 2744, 1999, 27519, 2475, 1010, 18610, 2683, 2475, 1010, 18034, 16086, 1010, 5764, 2581, 2581, 2575, 1010, 9645, 22022, 2692, 1010, 5018, 17788, 2475, 1010, 19627, 22203, 2475, 1029, 25491, 12521, 2692, 2054, 2003, 2279, 1999, 5187, 18827, 1010, 5187, 22907, 1010, 5187, 22022, 1010, 5187, 19961, 1010, 5187, 16086, 1029, 5187, 2581, 2683, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 6146, 23833, 2549, 1010, 1011, 6146, 23833, 2475, 1010 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 7632, 2035, 1010, 1045, 2018, 1037, 3143, 20680, 5670, 2006, 2337, 6122, 1997, 2023, 2095, 1012, 1045, 2572, 6603, 2065, 3087, 2842, 2018, 2019, 3325, 2066, 3067, 1012, 2005, 2086, 1045, 2354, 2087, 2035, 1997, 1996, 2381, 1998, 3314, 2007, 1996, 17627, 2277, 1012, 1045, 2371, 2066, 2008, 1045, 2347, 1005, 1056, 2183, 2000, 2412, 2903, 11543, 2059, 2008, 1996, 2277, 2001, 2995, 1010, 4385, 1012, 1045, 2052, 2467, 2471, 5959, 3752, 1996, 6314, 3436, 4933, 2138, 1045, 2371, 2066, 2009, 2001, 2242, 2008, 22361, 2134, 1005, 1056, 3305, 1012, 1045, 2052, 2175, 2006, 15111, 7982, 1998, 2831, 2055, 2367, 23252, 4385, 1012, 1011, 2021, 2012, 2335, 1045, 2052, 11839, 2138, 1045, 2001, 2061, 12580, 5457, 1012, 1045, 2052, 11839, 2005, 2488, 4824, 2000, 21063, 1996, 2277, 6772, 2007, 2060, 3167, 4824, 2015, 2055, 1996, 5304, 1012, 1045, 2106, 2514, 2005, 2061, 2146, 2008, 1996, 4824, 2052, 2272, 1010, 1998, 2054, 1045, 2106, 3305, 2055, 1996, 8036, 2001, 3492, 6429, 4933, 1010, 2061, 1997, 2607, 2673, 2842, 2052, 2991, 2046, 2173, 1012, 2054, 3047, 2001, 1037, 3143, 7859, 1010, 2471, 2035, 2012, 2320, 1012, 2069, 2005, 1037, 2117, 2106, 1045, 2131, 1037, 4248, 3571, 1997, 3974, 10721, 2166, 2021, 2009, 2574, 2187, 1012, 2038, 3087, 2842, 2018, 1996, 3325, 1997, 4209, 1996, 18636, 4933, 1998, 2009, 2134, 1005, 1056, 2428, 22995, 2017, 1010, 1998, 2059, 2035, 2012, 2320, 2045, 2003, 2074, 1037, 5670, 1029, 1045, 2812, 2023, 2347, 1005, 1056, 1037, 3132, 3716, 1998, 2059, 3143, 5213, 1997, 4083, 2242, 2006, 1037, 4037, 1012, 2242, 2106, 2689, 2471, 6880, 2295, 1010, 2503, 1012, 4283, 1012, 2008, 3047, 2000, 2033, 1012, 1045, 2467, 2245, 1037, 2843, 1998, 2776, 1045, 2234, 2000, 1996, 7091, 2008, 2045, 2001, 2061, 2116, 3471, 1012, 2065, 1996, 2935, 8725, 2055, 3533, 1005, 1055, 21553, 2000, 2191, 1037, 2933, 1038, 2000, 1996, 12904, 5530, 1010, 2339, 2002, 2134, 1005, 1056, 2729, 2000, 2172, 4788, 4933, 2066, 1996, 2338, 1997, 8181, 1010, 6622, 1010, 8945, 2213, 5449, 1010, 13994, 3510, 1010, 4385, 1012, 2009, 2001, 1996, 11591, 2193, 1997, 6542, 3471, 2008, 2211, 2000, 3635, 1999, 1012, 1045, 2018, 1037, 2350, 5325, 1997, 4752, 2055, 2028, 2086, 3283, 1010, 2021, 2043, 1045, 2371, 1996, 13905, 1010, 1045, 3266, 2000, 2485, 2026, 2159, 2000, 1996, 3471, 1998, 2009, 2776, 2253, 2185, 1012, 1996, 2679, 1998, 1996, 17911, 9491, 2012, 2285, 2001, 1996, 13137, 2008, 3631, 1996, 19130, 1005, 1055, 2067, 2000, 2033, 1012, 1045, 2064, 11498, 8458, 23797, 2214, 3533, 1024, 1000, 2043, 1045, 2034, 2246, 2588, 2032, 1010, 1045, 2001, 4452, 1025, 2021, 1996, 3571, 2574, 2187, 2033, 1012, 1000, 1045, 3984, 1045, 2001, 5204, 1997, 2070, 2477, 1012, 1012, 1012, 1012, 1012, 1999, 10085, 8898, 2055, 14888, 2477, 2066, 26572, 22864, 2100, 1010, 6064, 3314, 1010, 3674, 2034, 4432, 1012, 1012, 1012, 2021, 2059, 1045, 2657, 2055, 1996, 2338, 1997, 8181, 3277, 1012, 1012, 1012, 1012, 1045, 2001, 2145, 17704, 3173, 2041, 3246, 2008, 1045, 2071, 2424, 2019, 7526, 2008, 2052, 23957, 11022, 2033, 1010, 2021, 2027, 2020, 2035, 2061, 18691, 1012, 1045, 2150, 15896, 2007, 20059, 2035, 2477, 15111, 1012, 2009, 2134, 1005, 1056, 2202, 2146, 2127, 1045, 2354, 1045, 2481, 1005, 1056, 2903, 2009, 4902, 1012, 1012, 1012, 1012, 1012, 1045, 2031, 2569, 17005, 2005, 2111, 2040, 3160, 1996, 2277, 2241, 2006, 8998, 2030, 3439, 26917, 2015, 1010, 2144, 2009, 2165, 2242, 2004, 6034, 2004, 2536, 28409, 10514, 27082, 4740, 2138, 1997, 2026, 15667, 5346, 2000, 5245, 2033, 2000, 2633, 3160, 1996, 16406, 1997, 1996, 10381, 6820, 2818, 1012, 2320, 2009, 15288, 1010, 2009, 2035, 4212, 4237, 2066, 23968, 2229, 2030, 2004, 2017, 2170, 2009, 1010, 1037, 2878, 11142, 22724, 1012, 2044, 1045, 5295, 2026, 5779, 1996, 19240, 1045, 2109, 1037, 2843, 2001, 2008, 2026, 2972, 2088, 2018, 3130, 2042, 2777, 2594, 21227, 7362, 1999, 1996, 2433, 1997, 2019, 9603, 2808, 16001, 2546, 1010, 1037, 2808, 16001, 2546, 2008, 2001, 2085, 6135, 7798, 1012, 2383, 2000, 2128, 21759, 7088, 3366, 2035, 2049, 8417, 2241, 2006, 2026, 2219, 4301, 1998, 4784, 1998, 2025, 1996, 16449, 2015, 1997, 2019, 2648, 2303, 2001, 1037, 4708, 2008, 2165, 1037, 2843, 1997, 2051, 1998, 11752, 1010, 2021, 1045, 2572, 2428, 6171, 8794, 2009, 2001, 2825, 2000, 2079, 2061, 1012, 3553, 2475, 23460, 2626, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1028, 1045, 3984, 1045, 2001, 5204, 1997, 2070, 2477, 1012, 1012, 1012, 1012, 1012, 1999, 10085, 8898, 1028, 2055, 14888, 2477, 2066, 26572, 22864, 2100, 1010, 6064, 3314, 1010, 1028, 3674, 2034, 4432, 1012, 1012, 1012, 2021, 2059, 1045, 2657, 2055, 1028, 1996, 2338, 1997, 8181, 3277, 1012, 1012, 1012, 1012, 1045, 2001, 2145, 17704, 1028, 3173, 2041, 3246, 2008, 1045, 2071, 2424, 2019, 7526, 1028, 2008, 2052, 23957, 11022, 2033, 1010, 2021, 2027, 2020, 2035, 2061, 18691, 1012, 1028, 1045, 2150, 15896, 2007, 20059, 2035, 2477, 1028, 15111, 1012, 2009, 2134, 1005, 1056, 2202, 2146, 2127, 1045, 2354, 1045, 1028, 2481, 1005, 1056, 2903, 2009, 4902, 1012, 1012, 1012, 1012, 1012, 1028, 1028, 2061, 2054, 2001, 1996, 2028, 2518, 2008, 2106, 2009, 2005, 2017, 1029, 2009, 2001, 1037, 25028, 2065, 2477, 1012, 1037, 2001, 1037, 25020, 27838, 23067, 2102, 1998, 2973, 1996, 2375, 2000, 1037, 1056, 1012, 1045, 2031, 2042, 2092, 3191, 2006, 9686, 29112, 8474, 1010, 1998, 2060, 21244, 1011, 2021, 1045, 2052, 2467, 2031, 2000, 11307, 2054, 1045, 2371, 2001, 2995, 2083, 2054, 2070, 3124, 2056, 2012, 1996, 2197, 3034, 1998, 21063, 2009, 5064, 1010, 1996, 5177, 14002, 2020, 1037, 8066, 2066, 2053, 2060, 1012, 2057, 3825, 2107, 1037, 12382, 3435, 5378, 2005, 2086, 1010, 1998, 1045, 2812, 2066, 1037, 9951, 3815, 1010, 1045, 5667, 3373, 1999, 1996, 1000, 4872, 1000, 1011, 2057, 2031, 3092, 2039, 1999, 1037, 2919, 2173, 1010, 2057, 9826, 2481, 1005, 1056, 2130, 8984, 14841, 20744, 2044, 8811, 1010, 1998, 1045, 3825, 2006, 7977, 2296, 2048, 3134, 2005, 1037, 2261, 2086, 1012, 9788, 1012, 4312, 2015, 1010, 1045, 3342, 2041, 1997, 2035, 1996, 2477, 2006, 1996, 11142, 1010, 1996, 2028, 2518, 2006, 2568, 2001, 1996, 5394, 7425, 2008, 2111, 2435, 1996, 14751, 12168, 1012, 1998, 2059, 1996, 12168, 4129, 3441, 1010, 1998, 2059, 2062, 3441, 1010, 1998, 1996, 1012, 2128, 1011, 4129, 3441, 1012, 2059, 2002, 2052, 2552, 2035, 6881, 1998, 3071, 2052, 2031, 2000, 4756, 2012, 2129, 6881, 2009, 2001, 1012, 1045, 1005, 1049, 2074, 3038, 2008, 1996, 3110, 2005, 2033, 2001, 2025, 8203, 2005, 2033, 1012, 1045, 5993, 2007, 1996, 2060, 8635, 1997, 1037, 3110, 1997, 4335, 1012, 1045, 2064, 2425, 2017, 2008, 1999, 1037, 2617, 2008, 2026, 2878, 20680, 2904, 1010, 1998, 2025, 2074, 2054, 2001, 3412, 1012, 1045, 2572, 1999, 3407, 3028, 1998, 1996, 3226, 1998, 12209, 2428, 2202, 2058, 2115, 2878, 2166, 3579, 1012, 1045, 2134, 1005, 1056, 9352, 2074, 2360, 1045, 2001, 2018, 2011, 1037, 9861, 1010, 2021, 1045, 2071, 2360, 2008, 1996, 4447, 2024, 2025, 2995, 1010, 1998, 2008, 1005, 1055, 2009, 1012, 2009, 1005, 1055, 6057, 2138, 2025, 2127, 1045, 2038, 2008, 1000, 16936, 1000, 2001, 1045, 3201, 2000, 6985, 1996, 2087, 9951, 23252, 1998, 6078, 1012, 2009, 2428, 3138, 1037, 5670, 1999, 8298, 1010, 1998, 1045, 2572, 5327, 2026, 2564, 2064, 2272, 2000, 2008, 2391, 1010, 2021, 1045, 2113, 2073, 2016, 2003, 2012, 1998, 2442, 3499, 2014, 2000, 2832, 1012, 2016, 2038, 2042, 11087, 10564, 1997, 2035, 1997, 2023, 1012, 2009, 2097, 3426, 3314, 2007, 2500, 1010, 2021, 1045, 2572, 2025, 2028, 2040, 2074, 3268, 1996, 4676, 2138, 2008, 1005, 1055, 2054, 6643, 13944, 2106, 1010, 2030, 2138, 2009, 1005, 1055, 2145, 1000, 2204, 1000, 1010, 2030, 2005, 2151, 3114, 1011, 1045, 2293, 1996, 3606, 1010, 1998, 2065, 1996, 17627, 2277, 4036, 2033, 2505, 1010, 2009, 4036, 2033, 2008, 3606, 2442, 2022, 4912, 1010, 2053, 3043, 2073, 2009, 1005, 1055, 2012, 1012, 1045, 3651, 2045, 2001, 28616, 4305, 2890, 7542, 1010, 1998, 1045, 2572, 2025, 2183, 2000, 3582, 4848, 1012, 4312, 2015, 1012, 1012, 1012, 1045, 2018, 2908, 16389, 2043, 2026, 5637, 4654, 2409, 2033, 2002, 2001, 16789, 1998, 2002, 2001, 4654, 1012, 10819, 1012, 1045, 2134, 1005, 1056, 2215, 1996, 23902, 1997, 2256, 3510, 2000, 4148, 1999, 1996, 2270, 3239, 1011, 1011, 1998, 2005, 2060, 4436, 1012, 1045, 2018, 2042, 16389, 2005, 3243, 1037, 2096, 1011, 1011, 2763, 2012, 2560, 2184, 2000, 2321, 2086, 1012, 1045, 2467, 2245, 1045, 1005, 1040, 2175, 2067, 2043, 2166, 3876, 2091, 1012, 1045, 2354, 2070, 2477, 2066, 2008, 1046, 2015, 2001, 1037, 26572, 26517, 3367, 1012, 2039, 2000, 1996, 2391, 1045, 2001, 2012, 2043, 1045, 2439, 9029, 1010, 1045, 1005, 1040, 5281, 1037, 2843, 1999, 2026, 2219, 2166, 7149, 2007, 4177, 1998, 1996, 5637, 3277, 1012, 2026, 2190, 2767, 1005, 1055, 2684, 2001, 2893, 2496, 1012, 2016, 2409, 2033, 2008, 2043, 2045, 2020, 3471, 2007, 1996, 5030, 3488, 1010, 2014, 2684, 2052, 2360, 1010, 1000, 1996, 2277, 2003, 2145, 2995, 1010, 2061, 2054, 2515, 2009, 3043, 1012, 1000, 1045, 2245, 2055, 2008, 4861, 2005, 1037, 2261, 2420, 1998, 2059, 1010, 2748, 1010, 2009, 2035, 3062, 4237, 1012, 2028, 2154, 1999, 1037, 3043, 1997, 5312, 2009, 2718, 2033, 1010, 1000, 2021, 2009, 13836, 2000, 2033, 1012, 1000, 1045, 2354, 2157, 2059, 1998, 2045, 2009, 2001, 2025, 2995, 1012, 2009, 2001, 2044, 1045, 1005, 1040, 2439, 2011, 9029, 2008, 2026, 19294, 2409, 2033, 2055, 2023, 2604, 1998, 1045, 2179, 2041, 2172, 1997, 1996, 2381, 1012, 2009, 2001, 2074, 24582, 2075, 2006, 1996, 9850, 1012, 2320, 1045, 2001, 2583, 2000, 12064, 4697, 1996, 2616, 1000, 1996, 17627, 2277, 2003, 2025, 2995, 1000, 1010, 2026, 11142, 7798, 2012, 1996, 2168, 7107, 1010, 2138, 2035, 2216, 3980, 1045, 2320, 2641, 2590, 2150, 9587, 4140, 1012, 4209, 1996, 2277, 2001, 2025, 2012, 2035, 2054, 2009, 3555, 1010, 2011, 2993, 1010, 8871, 2035, 2216, 3980, 2185, 13554, 2121, 16215, 2078, 1055, 17048, 999, 1045, 3342, 2382, 2086, 3283, 3752, 22481, 2007, 1996, 4268, 1012, 2027, 2018, 2047, 22481, 1010, 1045, 2018, 1996, 2214, 1012, 2057, 2288, 2000, 1996, 1000, 2317, 1998, 12208, 14045, 1000, 2112, 1010, 2021, 2027, 3191, 1000, 5760, 1998, 12208, 14045, 1000, 1012, 1045, 6814, 2008, 1005, 1055, 2073, 2009, 2318, 1012, 2058, 1996, 2086, 1045, 1005, 1040, 2328, 2870, 3243, 1037, 11142, 1012, 1045, 2354, 2763, 3770, 1003, 1997, 1996, 3471, 1010, 1998, 2921, 8084, 2000, 21063, 2009, 2035, 1012, 2059, 2028, 2305, 2096, 2188, 2894, 1045, 2001, 3788, 2083, 1996, 2160, 1006, 1045, 2064, 2145, 3342, 2073, 1045, 2001, 1007, 1010, 1998, 1037, 3928, 8605, 2718, 2033, 1010, 2008, 1996, 2277, 2347, 1005, 1056, 2995, 1012, 2009, 2001, 2004, 2295, 1037, 2307, 10859, 2018, 2042, 4196, 2013, 2033, 1012, 1045, 2053, 2936, 2018, 2000, 21063, 2008, 8632, 1997, 26917, 2015, 1012, 2009, 2001, 1037, 9379, 3110, 1010, 2021, 1045, 2018, 1037, 13769, 3168, 1997, 3279, 1006, 2382, 1061, 2869, 1999, 2277, 2012, 2008, 2391, 1007, 1012, 1045, 2001, 3525, 2170, 2000, 3710, 1999, 1037, 20664, 1012, 1045, 5113, 1045, 2071, 2079, 2070, 2204, 1012, 2043, 1045, 2387, 2008, 2256, 3387, 1013, 11867, 2020, 3952, 4699, 1999, 2770, 3454, 1998, 2893, 2111, 1999, 1996, 2341, 1010, 1998, 2018, 2210, 3037, 1999, 5094, 2111, 4982, 6259, 2135, 1010, 1045, 2354, 1045, 2018, 2498, 2000, 3749, 1012, 2061, 2748, 1010, 2045, 2001, 1037, 13048, 2617, 2005, 2033, 1010, 6439, 2005, 1037, 2096, 1010, 2021, 2145, 2045, 1012, 1045, 2354, 1037, 2261, 2477, 1012, 1012, 1012, 3262, 8945, 2050, 2004, 1996, 5221, 1012, 1045, 2404, 2009, 2006, 1996, 11142, 1998, 2506, 2005, 2195, 2086, 2127, 1045, 3191, 1000, 5931, 2962, 5291, 1000, 1012, 2044, 5131, 2008, 2338, 1010, 1045, 2404, 2009, 2185, 1998, 6618, 1045, 2052, 3613, 2006, 2004, 26419, 2213, 1012, 2059, 1045, 2318, 3241, 2055, 2054, 2001, 1999, 12667, 2099, 1998, 1045, 2056, 2000, 2870, 1010, 1000, 2017, 2113, 2054, 1010, 1045, 1005, 1049, 2025, 7929, 2007, 2023, 1012, 1000, 1045, 6915, 2005, 1037, 2261, 3134, 1998, 2059, 2633, 4999, 1010, 2054, 2065, 2009, 1005, 1055, 2025, 2995, 1029, 2008, 1005, 1055, 2043, 2673, 3202, 13886, 2046, 2173, 1998, 2081, 3168, 1012, 2059, 1996, 23902, 2211, 1012, 1012, 1012, 2021, 2166, 2003, 2488, 2085, 1024, 1007, 2028, 2518, 2008, 2038, 2467, 4930, 2033, 2004, 5976, 2055, 1996, 8945, 2050 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1013, 1008, 1008, 9385, 1006, 1039, 1007, 7513, 3840, 1012, 2035, 2916, 9235, 1012, 1008, 7000, 2104, 1996, 10210, 6105, 1012, 2156, 6105, 1012, 19067, 2102, 1999, 1996, 2622, 7117, 2005, 1008, 6105, 2592, 1012, 1008, 1008, 3642, 7013, 2011, 7513, 1006, 1054, 1007, 8285, 28533, 3642, 13103, 1012, 1008, 3431, 2089, 3426, 16542, 5248, 1998, 2097, 2022, 2439, 2065, 1996, 3642, 2003, 1008, 19723, 24454, 4383, 1012, 1008, 1013, 12324, 1008, 2004, 5796, 28533, 2013, 1000, 1030, 24296, 1013, 5796, 1011, 2717, 1011, 1046, 2015, 1000, 1025, 12324, 1008, 2004, 5796, 28533, 10936, 5397, 2013, 1000, 1030, 24296, 1013, 5796, 1011, 2717, 1011, 24296, 1011, 1046, 2015, 1000, 1025, 12324, 1008, 2004, 4275, 2013, 1000, 1012, 1012, 1013, 4275, 1000, 1025, 12324, 1008, 2004, 4949, 7347, 2013, 1000, 1012, 1012, 1013, 4275, 1013, 17879, 2863, 18620, 2015, 1000, 1025, 12324, 1008, 2004, 11709, 2013, 1000, 1012, 1012, 1013, 4275, 1013, 11709, 1000, 1025, 12324, 1063, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1065, 2013, 1000, 1012, 1012, 1013, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1000, 1025, 1013, 1008, 1008, 2465, 5052, 1037, 17879, 1012, 1008, 1013, 9167, 2465, 17879, 1063, 2797, 3191, 2239, 2135, 7396, 1024, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1025, 1013, 1008, 1008, 1008, 3443, 1037, 17879, 1012, 1008, 1030, 11498, 2213, 1063, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1065, 7396, 4431, 2000, 1996, 2326, 7396, 1012, 1008, 1013, 9570, 2953, 1006, 7396, 1024, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1007, 1063, 2023, 1012, 7396, 1027, 7396, 1025, 1065, 1013, 1008, 1008, 1008, 9005, 1037, 6337, 2306, 1037, 9594, 1010, 2030, 14409, 2019, 4493, 6337, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 11709, 11709, 8127, 2000, 1996, 3443, 1013, 3972, 12870, 6337, 2828, 3169, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 16748, 3686, 2953, 6279, 13701, 6072, 26029, 3366, 1028, 1008, 1013, 3443, 2953, 6279, 13701, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 11709, 1024, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1010, 7047, 1029, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 16748, 3686, 2953, 6279, 13701, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 4088, 16748, 3686, 2953, 6279, 13701, 1006, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 11709, 1010, 7047, 1007, 1012, 2059, 1006, 1048, 18981, 14511, 2121, 1027, 1028, 1048, 18981, 14511, 2121, 1012, 8554, 16671, 4014, 16294, 13295, 1006, 1007, 1007, 2004, 4872, 1026, 4275, 1012, 17879, 16748, 3686, 2953, 6279, 13701, 6072, 26029, 3366, 1028, 1025, 1065, 1013, 1008, 1008, 1008, 4152, 2592, 2055, 1996, 9675, 6337, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1008, 1013, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 18150, 7361, 3508, 2389, 28689, 5244, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1007, 1024, 11675, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 7047, 1996, 11887, 11709, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1024, 4275, 1012, 17879, 18150, 7361, 3508, 2389, 28689, 5244, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1007, 1024, 11675, 1025, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 18150, 7361, 3508, 2389, 28689, 5244, 1064, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1010, 2655, 5963, 1029, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 7396, 1012, 4604, 25918, 3370, 2890, 15500, 1006, 1063, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 7047, 1065, 1010, 2131, 25918, 10708, 5051, 2278, 1010, 2655, 5963, 1007, 2004, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1025, 1065, 1013, 1008, 1008, 1008, 3972, 12870, 2015, 1037, 6337, 2306, 1037, 9594, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 5796, 28533, 1012, 2717, 6072, 26029, 3366, 1028, 1008, 1013, 3972, 12870, 11368, 6806, 2094, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 9247, 12870, 11368, 6806, 3527, 16790, 2389, 28689, 5244, 1007, 1024, 4872, 1026, 5796, 28533, 1012, 2717, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 4088, 9247, 12870, 11368, 6806, 2094, 1006, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 7047, 1007, 1012, 2059, 1006, 1048, 18981, 14511, 2121, 1027, 1028, 1048, 18981, 14511, 2121, 1012, 8554, 16671, 4014, 16294, 13295, 1006, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 4152, 2035, 6337, 1999, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1008, 1013, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 9863, 3762, 6979, 5092, 16790, 2389, 28689, 5244, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1007, 1024, 11675, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 7047, 1996, 11887, 11709, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 7047, 1024, 4275, 1012, 17879, 9863, 3762, 6979, 5092, 16790, 2389, 28689, 5244, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1007, 1024, 11675, 1025, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 9863, 3762, 6979, 5092, 16790, 2389, 28689, 5244, 1064, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1010, 2655, 5963, 1029, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1063, 2709, 2023, 1012, 7396, 1012, 4604, 25918, 3370, 2890, 15500, 1006, 1063, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 7047, 1065, 1010, 2862, 3762, 6979, 5092, 29487, 13102, 8586, 1010, 2655, 5963, 1007, 2004, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1025, 1065, 1013, 1008, 1008, 1008, 4152, 1996, 1047, 18136, 2008, 4372, 13149, 1996, 6337, 2828, 4453, 2011, 1996, 8127, 2171, 1012, 27226, 6433, 1008, 2083, 6818, 1997, 1996, 8290, 2006, 2019, 8290, 1047, 8197, 1998, 2083, 6550, 2005, 1008, 6337, 1047, 18136, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 18150, 2368, 13149, 2075, 2243, 18136, 6072, 26029, 3366, 1028, 1008, 1013, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 2368, 13149, 2075, 2243, 18136, 6072, 26029, 3366, 1028, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1007, 1024, 11675, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 7047, 1996, 11887, 11709, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1007, 1024, 11675, 1025, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1064, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1010, 2655, 5963, 1029, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 2368, 13149, 2075, 2243, 18136, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 7396, 1012, 4604, 25918, 3370, 2890, 15500, 1006, 1063, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 7047, 1065, 1010, 2131, 2368, 13149, 2075, 2243, 18136, 25918, 10708, 5051, 2278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]
[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 3522, 4517, 8060, 17011, 1006, 13221, 2099, 1007, 11702, 3936, 1996, 24873, 9048, 16173, 3401, 1997, 18247, 1011, 2828, 3424, 7512, 21716, 25440, 4588, 1006, 21358, 2213, 1007, 1998, 10768, 18933, 2863, 10177, 4588, 1006, 4718, 1007, 6714, 16902, 2015, 1999, 2119, 1996, 4920, 1011, 1998, 10496, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2945, 1997, 3707, 1011, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 2011, 1037, 12849, 18807, 2050, 6463, 4106, 1012, 12774, 2011, 1996, 13221, 2099, 2147, 1010, 2057, 8556, 1996, 2825, 4598, 1997, 4718, 28892, 1999, 2178, 3707, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 11873, 2155, 1010, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1012, 2057, 2128, 1011, 16578, 2256, 3130, 2988, 2951, 1999, 3408, 1997, 1996, 12849, 18807, 2050, 6463, 1998, 2179, 3154, 3350, 2005, 1996, 24873, 9048, 16173, 3401, 1997, 18247, 1011, 2828, 21358, 2213, 1998, 4718, 6714, 16902, 2015, 1999, 1996, 10496, 1011, 2079, 5669, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2291, 1012, 2122, 13221, 2099, 2951, 5769, 2008, 4718, 28892, 4839, 1999, 2236, 1999, 3707, 1011, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 11873, 2945, 1998, 2947, 2442, 2022, 2443, 2000, 5425, 1996, 6887, 16515, 3549, 6779, 1997, 1996, 3707, 1052, 8713, 3775, 6155, 1012, 1005, 3166, 1024, 1011, 1005, 1046, 1012, 12731, 2072, 1005, 1011, 1005, 1052, 1012, 15536, 11012, 2072, 1005, 1011, 1005, 1055, 1012, 2743, 1032, 1008, 1005, 1011, 1005, 1055, 1012, 1048, 1012, 13007, 1521, 12849, 1005, 1011, 1005, 1052, 1012, 1039, 1012, 2064, 3790, 1005, 1011, 1005, 1061, 1012, 6519, 15750, 4213, 1005, 2516, 1024, 1005, 24873, 9048, 16173, 3401, 1997, 3424, 7512, 21716, 25440, 4588, 1998, 10768, 18933, 2863, 10177, 4588, 6714, 16902, 2015, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 3936, 2011, 1002, 1034, 1063, 4293, 1065, 1002, 2004, 4517, 8060, 17011, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2144, 1996, 5456, 1997, 2152, 1002, 1056, 1035, 1063, 1032, 28549, 1039, 1065, 1002, 3565, 8663, 8566, 6593, 7730, 1999, 3707, 1052, 8713, 3775, 6155, 1010, 1031, 1030, 27829, 19190, 5400, 28332, 2620, 1033, 1996, 6970, 13068, 2090, 6714, 28892, 1998, 1996, 23693, 3267, 1997, 3565, 8663, 8566, 6593, 7730, 1006, 8040, 1007, 2038, 2042, 15411, 2172, 3037, 1012, 1999, 2087, 1997, 1996, 10768, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 1010, 1996, 1523, 6687, 1000, 4475, 8327, 3424, 7512, 21716, 25440, 4588, 13063, 2917, 1996, 7663, 2140, 4860, 1012, 1031, 1030, 2064, 3790, 11387, 10790, 1025, 1030, 10773, 11387, 10790, 1025, 1030, 5954, 11387, 14526, 1033, 8040, 1999, 2122, 10099, 19391, 2588, 16341, 1997, 1996, 18247, 1011, 2828, 3424, 7512, 21716, 25440, 4588, 1006, 21358, 2213, 1007, 4403, 2011, 4646, 1997, 3778, 1998, 1013, 2030, 5072, 20885, 1010, 2073, 1996, 21358, 2213, 6714, 28892, 2024, 2145, 2844, 1012, 3568, 1010, 2009, 2003, 3373, 2008, 18247, 1011, 2828, 21358, 2213, 6714, 28892, 2377, 2019, 2590, 2535, 1999, 4439, 1996, 8040, 1999, 1996, 3707, 1011, 2241, 3565, 8663, 8566, 24817, 1010, 2348, 13943, 28892, 2024, 2036, 4197, 2041, 2000, 2022, 2590, 1012, 1031, 1030, 5035, 11387, 17134, 1033, 3728, 4517, 8060, 17011, 1006, 13221, 2099, 1007, 11702, 3936, 2008, 10768, 18933, 2863, 10177, 4588, 1006, 4718, 1007, 16902, 2015, 2036, 2377, 2019, 2590, 2535, 1999, 2119, 1996, 4920, 1011, 1998, 10496, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2945, 1997, 3707, 1011, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 1012, 1031, 1030, 10773, 11387, 10790, 1025, 1030, 15536, 11012, 2072, 11387, 16068, 1025, 1030, 15536, 11012, 2072, 11387, 16068, 18098, 2140, 1033, 1996, 4718, 28892, 2024, 2179, 2000, 2022, 10473, 1999, 1996, 29160, 2135, 1011, 2079, 5669, 8670, 3597, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1998, 1047, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 2021, 2024, 2145, 2556, 1999, 1996, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 6687, 7328, 1010, 8335, 2007, 2049, 9412, 23848, 3678, 2594, 10514, 11020, 23606, 13464, 1002, 1032, 9610, 1002, 1012, 1031, 1030, 10773, 11387, 10790, 1033, 2122, 4718, 28892, 2024, 4081, 2000, 5566, 2007, 3565, 8663, 8566, 6593, 7730, 1998, 2024, 1037, 10232, 21774, 2000, 3305, 1996, 8386, 1997, 1002, 1056, 1035, 1063, 1032, 28549, 1039, 1065, 1002, 1998, 1996, 4338, 1997, 1996, 8040, 8514, 1012, 1031, 1030, 15536, 11012, 2072, 11387, 16068, 18098, 2140, 1033, 2009, 2003, 5875, 1998, 2590, 2000, 8849, 3251, 2030, 2025, 2714, 4718, 16902, 2015, 4839, 1999, 2060, 3707, 1052, 8713, 3775, 3207, 3001, 1012, 1996, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 2038, 1037, 4403, 16403, 5664, 2013, 2008, 2005, 1996, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 1012, 6168, 2005, 1996, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 4475, 1996, 21358, 2213, 1998, 2030, 27844, 23393, 13592, 4403, 22166, 2468, 2117, 2344, 2007, 2522, 20885, 1010, 1996, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 4247, 2000, 19676, 1037, 6118, 2034, 2344, 1010, 11211, 1010, 8332, 1011, 8060, 4403, 6653, 2130, 2004, 2522, 20885, 16081, 2229, 1996, 6653, 4860, 2000, 5717, 1012, 2178, 3278, 4489, 1999, 1996, 4403, 26309, 1997, 1996, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1998, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 3001, 2003, 2036, 2179, 1999, 3565, 8663, 8566, 11873, 4403, 1012, 2348, 8040, 3544, 2043, 1996, 18247, 1011, 2828, 21358, 2213, 4403, 2003, 13712, 2011, 2522, 20885, 2005, 10768, 1999, 2119, 3572, 1010, 2053, 24873, 9048, 16173, 3401, 1997, 8040, 1998, 21358, 2213, 2038, 2042, 5159, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 6168, 1996, 24873, 9048, 16173, 3401, 2038, 2042, 2988, 1999, 8670, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1012, 2122, 3463, 2024, 8335, 2007, 1996, 4489, 2090, 1037, 6118, 2034, 2344, 6431, 2117, 2344, 4403, 6653, 1012, 3522, 13221, 2099, 11702, 3936, 2008, 1996, 18247, 1011, 2828, 21358, 2213, 28892, 2024, 6118, 13712, 1999, 1996, 21358, 2213, 2110, 1999, 1996, 2522, 1011, 2079, 5669, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2291, 1010, 6168, 25908, 18247, 1011, 2828, 21358, 2213, 6714, 28892, 2145, 3961, 1999, 1996, 21358, 2213, 2110, 1999, 1996, 2522, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2291, 1012, 1031, 1030, 12731, 2072, 11387, 16068, 1033, 2122, 3463, 5769, 2008, 1996, 21961, 21358, 2213, 6714, 28892, 2377, 2019, 2590, 2535, 2005, 1996, 24873, 9048, 16173, 3401, 1997, 21358, 2213, 1998, 8040, 1999, 8670, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1012, 7297, 1010, 1999, 1996, 2553, 1997, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 18404, 3654, 2361, 1011, 2066, 5248, 1031, 1030, 12731, 2072, 11387, 16068, 1033, 2038, 2042, 5159, 1999, 1996, 4860, 18642, 1997, 1015, 1013, 1002, 1056, 1035, 1015, 2102, 1002, 1998, 1999, 1011, 4946, 9507, 7730, 1012, 1996, 8281, 4860, 1997, 1996, 18404, 3654, 2361, 2001, 2988, 2000, 2022, 3053, 2981, 1997, 2522, 20885, 1012, 1999, 2023, 3259, 1010, 2057, 10847, 1996, 2825, 4598, 1997, 4718, 28892, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1998, 2179, 1996, 3154, 3350, 1997, 24873, 9048, 16173, 3401, 1997, 18247, 1011, 2828, 21358, 2213, 1998, 4718, 16902, 2015, 2241, 2006, 1002, 1034, 1063, 4293, 1065, 1002, 2004, 13221, 2099, 2951, 4106, 1012, 1999, 5688, 2000, 1996, 2553, 1997, 8670, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2073, 1996, 5816, 3997, 1997, 4718, 16902, 2015, 7457, 2007, 2522, 20885, 1010, 2008, 1997, 1996, 4718, 16902, 2015, 2024, 2471, 2981, 1997, 1996, 2522, 4180, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2013, 1002, 1060, 1002, 1027, 1014, 2000, 1014, 1012, 5709, 2683, 1012, 2348, 2057, 2031, 10847, 1037, 4659, 2235, 2522, 20885, 2555, 1010, 1996, 4598, 1997, 1996, 4718, 6714, 16902, 2015, 2052, 2022, 8335, 2007, 1996, 2755, 2008, 6187, 3597, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 1996, 2203, 2266, 1997, 1996, 10496, 2079, 5669, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 1997, 10099, 1010, 2038, 2019, 1037, 1011, 2828, 3424, 7512, 21716, 25440, 4588, 3641, 2110, 2917, 1002, 1056, 1035, 1063, 1032, 28549, 1050, 1065, 1002, 1027, 4720, 1516, 6146, 1047, 1031, 1030, 21864, 11796, 2571, 11387, 17134, 1025, 1030, 15898, 11387, 12521, 1033, 2073, 1996, 2522, 5312, 2306, 1996, 28155, 2015, 6741, 2024, 10768, 18933, 2863, 10177, 25084, 13115, 2247, 1996, 1002, 1039, 1002, 8123, 1998, 1996, 5312, 1999, 5516, 9014, 2024, 13115, 3424, 7512, 21716, 25440, 25084, 1012, 2144, 1996, 24873, 9048, 16173, 3401, 1997, 4718, 1998, 21358, 2213, 6714, 16902, 2015, 2024, 5159, 1999, 2119, 1996, 4920, 1011, 1998, 10496, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 3001, 1010, 1031, 1030, 15536, 11012, 2072, 11387, 16068, 18098, 2140, 1033, 2256, 3463, 6592, 2008, 1996, 4718, 28892, 4839, 1999, 2236, 1999, 3707, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 1010, 8131, 2008, 9373, 26396, 4275, 2323, 2421, 4718, 16902, 2015, 2000, 7487, 1996, 3444, 1997, 1996, 3707, 1052, 8713, 3775, 6155, 1012, 6388, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 2309, 14438, 1997, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1006, 1002, 1060, 1002, 1027, 1014, 1010, 1014, 1012, 6185, 2509, 1010, 1014, 1012, 6185, 2620, 1010, 1014, 1012, 6021, 2509, 1998, 1014, 1012, 5709, 2683, 1007, 2109, 1999, 1996, 2556, 2817, 2024, 2013, 1996, 2168, 14108, 2229, 2004, 2988, 1999, 25416, 1012, 1012, 2122, 2309, 14438, 2020, 4961, 2041, 1997, 1037, 10768, 3022, 1013, 28155, 2015, 19251, 1010, 1031, 1030, 2743, 11387, 14526, 1025, 1030, 2743, 11387, 12521, 1033, 2478, 7511, 2152, 4860, 3930, 5461, 1012, 1031, 1030, 2064, 3790, 1035, 2338, 1025, 1030, 2064, 3790, 1035, 2826, 1033, 4745, 2000, 3930, 1010, 1996, 2309, 14438, 2020, 4776, 9453, 2094, 2012, 1002, 1056, 1035, 1063, 1032, 28549, 1037, 1065, 1002, 1027, 8698, 1002, 1034, 1063, 1032, 25022, 11890, 1065, 1002, 1039, 2005, 1021, 2420, 1998, 2059, 10861, 19282, 1012, 2005, 1002, 1060, 1002, 1027, 1014, 1010, 1996, 2309, 6121, 2001, 4776, 9453, 2094, 2012, 1002, 1056, 1035, 1063, 1032, 28549, 1037, 1065, 1002, 1027, 4278, 1002, 1034, 1063, 1032, 25022, 11890, 1065, 1002, 1039, 2005, 2484, 2847, 1012, 4751, 1997, 1996, 3930, 1010, 4776, 21682, 1998, 10861, 12680, 2075, 8853, 2031, 2042, 2988, 1999, 25416, 2015, 1012, 1998, 1012, 1996, 18247, 1011, 2828, 21358, 2213, 2163, 2031, 2042, 2988, 2917, 1996, 7663, 2140, 7715, 1002, 1056, 1035, 1063, 1032, 28549, 1050, 1065, 1002, 1027, 10894, 1010, 10114, 1010, 1998, 5187, 1047, 2005, 1002, 1060, 1002, 1027, 1014, 1010, 1014, 1012, 6185, 2509, 1010, 1998, 1014, 1012, 6185, 2620, 1010, 4414, 1012, 1031, 1030, 17765, 28332, 2620, 1033, 1996, 3565, 8663, 8566, 11873, 2163, 2024, 5159, 2917, 1996, 6653, 4860, 1997, 1002, 1056, 1035, 1063, 1032, 28549, 1039, 1065, 1002, 1027, 2321, 1998, 2184, 1047, 2005, 1002, 1060, 1002, 1027, 1014, 1012, 6021, 2509, 1998, 1014, 1012, 5709, 2683, 1010, 4414, 1012, 1031, 1030, 2743, 11387, 12521, 1033 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]	[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2609, 4684, 9163, 2012, 17765, 1010, 5826, 2024, 2081, 1010, 1998, 4895, 21565, 2006, 2813, 2395, 1010, 3352, 1037, 4256, 2012, 17765, 22818, 2003, 2641, 1996, 5662, 1997, 3045, 1996, 15213, 1012, 2023, 2991, 1010, 1999, 1037, 28607, 2832, 1010, 2070, 2531, 12706, 2097, 2022, 4217, 2000, 4374, 2023, 3585, 7281, 1010, 2190, 14138, 4138, 3477, 14555, 1998, 2019, 2503, 2650, 2000, 1996, 2327, 5841, 2012, 1996, 2194, 1012, 2054, 2261, 2648, 17765, 2113, 2003, 2008, 2023, 7281, 2064, 2036, 2022, 2579, 2185, 1012, 2004, 2116, 2004, 3438, 17765, 12706, 2071, 2022, 10040, 1997, 2037, 13797, 2023, 2095, 2000, 2191, 2126, 2005, 2047, 2668, 1010, 2111, 2007, 2034, 11774, 3716, 1997, 1996, 2832, 2360, 1012, 2503, 1996, 3813, 1010, 1996, 2832, 2003, 2124, 2004, 1523, 2139, 1011, 27001, 1012, 1524, 17765, 2515, 2025, 26056, 2040, 2003, 2053, 2936, 1037, 4256, 1010, 1998, 2116, 2693, 2006, 2000, 5841, 6974, 1025, 2070, 2994, 1010, 4129, 2261, 1997, 2037, 6580, 1012, 1523, 1045, 2031, 2814, 2040, 2031, 2042, 2139, 1011, 12404, 2040, 2024, 2145, 2045, 1010, 1998, 2087, 2111, 2503, 2228, 2027, 2024, 2145, 5826, 1010, 1524, 2056, 2028, 2280, 17765, 3237, 1010, 2040, 3764, 2069, 2006, 1996, 4650, 1997, 2019, 16585, 16383, 1012, 1523, 2009, 2003, 2242, 2017, 2074, 2123, 1521, 1056, 2831, 2055, 1012, 1524, 17765, 2038, 5560, 3486, 1010, 2199, 5126, 1010, 2021, 2069, 18034, 2030, 2061, 5826, 1012, 1996, 2280, 9837, 23660, 2888, 1049, 1012, 2703, 3385, 3781, 1012, 1998, 2728, 1041, 1012, 20524, 1010, 1998, 2280, 18079, 1012, 6285, 1055, 1012, 2522, 15378, 3170, 1997, 2047, 3933, 1010, 2085, 2708, 3237, 1997, 3361, 3813, 1049, 2546, 3795, 1010, 2020, 2035, 5826, 1012, 2009, 2064, 2202, 2086, 2000, 2191, 4256, 1010, 1998, 2108, 3724, 2013, 1996, 5110, 4418, 2064, 2022, 16255, 8450, 1012, 1523, 2108, 4256, 2012, 17765, 2003, 1996, 26007, 1997, 2813, 2395, 1025, 2065, 2017, 2191, 2009, 1010, 2017, 2024, 2641, 2275, 2005, 2166, 1010, 1524, 2056, 2745, 2852, 2483, 26895, 1010, 1037, 5873, 2934, 2012, 4748, 2884, 21850, 2118, 1998, 1037, 3026, 6605, 2472, 2012, 4562, 26261, 23549, 2077, 2008, 3813, 7798, 1999, 2263, 1012, 1523, 2000, 2031, 2009, 2579, 2185, 2052, 2074, 2022, 14886, 2000, 2019, 3265, 1012, 2045, 2003, 2074, 2053, 2060, 2773, 2005, 2009, 1012, 1524, 1996, 3361, 6271, 2064, 2022, 6937, 2004, 2092, 1012, 12706, 10040, 1997, 5386, 2052, 9279, 2037, 2918, 10300, 1010, 5560, 1002, 3263, 1010, 2199, 1010, 2021, 2037, 29563, 2071, 2022, 15911, 1010, 9280, 22173, 2068, 8817, 1997, 6363, 1999, 1037, 2204, 2095, 1012, 2096, 8550, 1996, 28821, 3570, 1997, 4256, 1010, 1998, 2059, 3974, 2009, 1010, 2003, 5121, 2025, 4895, 26362, 1011, 1997, 2012, 2797, 3361, 1998, 2375, 9786, 2006, 2813, 2395, 1010, 17765, 1521, 1055, 5386, 2832, 4832, 2041, 2005, 2049, 2946, 1998, 20014, 14735, 5666, 1012, 17765, 20777, 2041, 5826, 2138, 2009, 2003, 5191, 2008, 2065, 1996, 5386, 4150, 2205, 2502, 1010, 2009, 2097, 4558, 2049, 17053, 2102, 1998, 2468, 2625, 1997, 1037, 14354, 2389, 6994, 2005, 10904, 2039, 1011, 1998, 1011, 2272, 2869, 1010, 2111, 2920, 1999, 1996, 2832, 2360, 1012, 2065, 2205, 2116, 2111, 2994, 1010, 2009, 9005, 1037, 8833, 3900, 2213, 1012, 1996, 2779, 7470, 1997, 1037, 4256, 2003, 2055, 2809, 2086, 1010, 1999, 2112, 2138, 1997, 3019, 2012, 18886, 3508, 1998, 5075, 2015, 1012, 17765, 25297, 2015, 2036, 3602, 2027, 2031, 2054, 2027, 2655, 2019, 1523, 2039, 1011, 1998, 1011, 2041, 1524, 3226, 1010, 2877, 2000, 1996, 3161, 2968, 1997, 1996, 4770, 1012, 6302, 1996, 2047, 2896, 7128, 4075, 2005, 17765, 22818, 1010, 2073, 3332, 5328, 2097, 2022, 2012, 1037, 12882, 1012, 4923, 6487, 8076, 2005, 1996, 2047, 2259, 2335, 1996, 2832, 1997, 29525, 3436, 2047, 5347, 2005, 4256, 1998, 10561, 2029, 4493, 5826, 2442, 2175, 2211, 1999, 17300, 1999, 3522, 3134, 1010, 2429, 2000, 2111, 2007, 3716, 1997, 1996, 2832, 1010, 2029, 3138, 2173, 2296, 2048, 2086, 1012, 2027, 3764, 2006, 1996, 4650, 1997, 2019, 16585, 16383, 1012, 1996, 2230, 5826, 2097, 2087, 3497, 2022, 2623, 1999, 2281, 1012, 5347, 2024, 13224, 2006, 2116, 11647, 1010, 3952, 2037, 3361, 6691, 2000, 1996, 3813, 1012, 2021, 9559, 1998, 3891, 10489, 1517, 2040, 2024, 2025, 2502, 6599, 6443, 1517, 2064, 2036, 2191, 2009, 2000, 1996, 5110, 4418, 1012, 1996, 12706, 3625, 2005, 2770, 1996, 4256, 2832, 2023, 2095, 2024, 1996, 3580, 3242, 3549, 1010, 1046, 1012, 2745, 6473, 1010, 2745, 1055, 1012, 19427, 1998, 2198, 1055, 1012, 11417, 11144, 1025, 1996, 2132, 1997, 2529, 4219, 1010, 13257, 1059, 1012, 6201, 1025, 1998, 1996, 2924, 1521, 1055, 2343, 1010, 5639, 1040, 1012, 2522, 7295, 1012, 17765, 4050, 20362, 2382, 2030, 2061, 5826, 2296, 2048, 2086, 1010, 2056, 2216, 2111, 2040, 2649, 1996, 2832, 1012, 1996, 2193, 2003, 3517, 2000, 2022, 6022, 3020, 2023, 2095, 2138, 8491, 3026, 12706, 2031, 2187, 1996, 3813, 2004, 1037, 23667, 17701, 2232, 4610, 1998, 9662, 6089, 5787, 2037, 6695, 6974, 1012, 9268, 5826, 2066, 2023, 2003, 4310, 2000, 17765, 2426, 7271, 7007, 9786, 1012, 2043, 3316, 2175, 2270, 1010, 2027, 8328, 1996, 2797, 5386, 2291, 1010, 1998, 6095, 1997, 1996, 2194, 2003, 4015, 2000, 15337, 1012, 17765, 1521, 1055, 6095, 2001, 2036, 4015, 2000, 15337, 1010, 2021, 2009, 2580, 1037, 8893, 4256, 2944, 2004, 2019, 20438, 2005, 5126, 1012, 2216, 3183, 17765, 2515, 2025, 2215, 2000, 2562, 2024, 3497, 2000, 2022, 5168, 2409, 1999, 1996, 2746, 3134, 1012, 2169, 3663, 2003, 8971, 11543, 1010, 1996, 2111, 2007, 3716, 1997, 1996, 2832, 2360, 1012, 2070, 5826, 2024, 2445, 2051, 2000, 2424, 2060, 5841, 2648, 1996, 3813, 1012, 2500, 2024, 2409, 2027, 2097, 2025, 2022, 2081, 4256, 1998, 2024, 2356, 2000, 5136, 2054, 2027, 2215, 2000, 2079, 2279, 2306, 1996, 2194, 1012, 2096, 17765, 2003, 2006, 2650, 2000, 6366, 2116, 2062, 12706, 2084, 5156, 1010, 1996, 2832, 2003, 1999, 2049, 2220, 5711, 1998, 2053, 2345, 6567, 2031, 2042, 2081, 1010, 2122, 2111, 14046, 1012, 1037, 17765, 14056, 6430, 2000, 7615, 2006, 2129, 2009, 27034, 1998, 20362, 5826, 1012, 1996, 2832, 2003, 2012, 1996, 2540, 1997, 17765, 1521, 1055, 3226, 1010, 1037, 2126, 2005, 1996, 3813, 2000, 10377, 1998, 9279, 2327, 5848, 1012, 17765, 2001, 2028, 1997, 1996, 2197, 1997, 1996, 2502, 2813, 2395, 13797, 2000, 2175, 2270, 1010, 4855, 6661, 1999, 2639, 1012, 2043, 2009, 2001, 2797, 1010, 1996, 5826, 2020, 1996, 5608, 1010, 6631, 1999, 1996, 11372, 1010, 1998, 1999, 2070, 3572, 2383, 2000, 2404, 1999, 2769, 2000, 5370, 2039, 6409, 1012, 2000, 9279, 2008, 2136, 4382, 2004, 1037, 2270, 2194, 1010, 17765, 2506, 2000, 2171, 5826, 1012, 1999, 2639, 1010, 2045, 2020, 19594, 1012, 2664, 2045, 2024, 5966, 2013, 2627, 6078, 1012, 2043, 17765, 2001, 1037, 2797, 5386, 1010, 2009, 2001, 4678, 2008, 1037, 4256, 2052, 2022, 2356, 2000, 2681, 1012, 6302, 2280, 5826, 2012, 1996, 3813, 2421, 1010, 2013, 2327, 1010, 1996, 2280, 9837, 23660, 2888, 1049, 1012, 2703, 3385, 3781, 1012, 1998, 2728, 1041, 1012, 20524, 1010, 1998, 2047, 3933, 1521, 1055, 2280, 3099, 1010, 6285, 1055, 1012, 2522, 15378, 3170, 1012, 4923, 2013, 2327, 1024, 4080, 5292, 14343, 2099, 1013, 22950, 2739, 1006, 1016, 1007, 1025, 2585, 17765, 2005, 1996, 2047, 2259, 2335, 1523, 2320, 2017, 2081, 4256, 1010, 2017, 4050, 3394, 2004, 1037, 4256, 1010, 1524, 2056, 2178, 2280, 17765, 3237, 2040, 2109, 2000, 2022, 2920, 1999, 1996, 2832, 1012, 1523, 2065, 2057, 2356, 2619, 2000, 2681, 1010, 2009, 2001, 2138, 2057, 2018, 2428, 14180, 2039, 1998, 1996, 2711, 2347, 1521, 1056, 4815, 2037, 3635, 1012, 1524, 2009, 2038, 2042, 1037, 5931, 2095, 2005, 17765, 1012, 1999, 2251, 1010, 2009, 3825, 1002, 13274, 2454, 2000, 7392, 2942, 9861, 13519, 2008, 2009, 2018, 4241, 5669, 7846, 2011, 4855, 14344, 12012, 2096, 7989, 2000, 2191, 4187, 19380, 2015, 1012, 1996, 3813, 2106, 2025, 6449, 2030, 9772, 8056, 1012, 2145, 1010, 2130, 1999, 1996, 5409, 1997, 2086, 1010, 1996, 3382, 2000, 2004, 23865, 2046, 1996, 2797, 5386, 2012, 17765, 2003, 1037, 4121, 3932, 1012, 5347, 2064, 2022, 2039, 2005, 5386, 2048, 2030, 2130, 2093, 2335, 2077, 2633, 2108, 4217, 1012, 5826, 2131, 5211, 6695, 2025, 3253, 2000, 2060, 5126, 1010, 1998, 2024, 4050, 1996, 3284, 3825, 2012, 1996, 3813, 1012, 17765, 2097, 2130, 2338, 7251, 2005, 2068, 2012, 19964, 2047, 2259, 7884, 1012, 1037, 2502, 3477, 10259, 2003, 2025, 12361, 1010, 2174, 1012, 2043, 1996, 3813, 2515, 2025, 2079, 2092, 1010, 5826, 7166, 2000, 4562, 1996, 7987, 16671, 1997, 2009, 1012, 2327, 17765, 12706, 2106, 2025, 4374, 29563, 1999, 2263, 1010, 1996, 4672, 1997, 1996, 3361, 5325, 1012, 2021, 1999, 2289, 1010, 1037, 9484, 2095, 2005, 17765, 1010, 1996, 3813, 2275, 4998, 1002, 2322, 1012, 2539, 4551, 2005, 9430, 1998, 6666, 1010, 1998, 2049, 2708, 3237, 1010, 6746, 1039, 1012, 8744, 7959, 2378, 1010, 2165, 2188, 1002, 6273, 1012, 1019, 2454, 1999, 4518, 1998, 5356, 1012, 5347, 2005, 4256, 2024, 29525, 3064, 2011, 2783, 5826, 1012, 1996, 3319, 2832, 2003, 2124, 2503, 17765, 2004, 1523, 2892, 1011, 21766, 15379, 2290, 1010, 1524, 1037, 4431, 2000, 1037, 17519, 1999, 2958, 1012, 1037, 2261, 3634, 2111, 2024, 4050, 4222, 2306, 1996, 2878, 2194, 1010, 1998, 1996, 2193, 2003, 2776, 1059, 16584, 14782, 2091, 2000, 2055, 2531, 1012, 2169, 2533, 4012, 22090, 2015, 1037, 2862, 1997, 4022, 5347, 1010, 2007, 7760, 1998, 2836, 4391, 1012, 5826, 1999, 2178, 2533, 3319, 2009, 1012, 5347, 2024, 2025, 10263, 1010, 1998, 1999, 2116, 3572, 2024, 11499, 2027, 2024, 2130, 2039, 2005, 4256, 1012, 2043, 2345, 6567, 2024, 2081, 1010, 2009, 2003, 2788, 2720, 1012, 8744, 7959, 2378, 2040, 7807, 1996, 2204, 2739, 2000, 1996, 2047, 5826, 1012, 2261, 5347, 2412, 2424, 2041, 2339, 2027, 4771, 1996, 3013, 1012, 1998, 17765, 17472, 2069, 27427, 14194, 28313, 1010, 2025, 2216, 2040, 2031, 2042, 3718, 1012, 2145, 1010, 2045, 2089, 2022, 1037, 2261, 2425, 22059, 5751, 2023, 2095, 1012, 17765, 3728, 2333, 2000, 1037, 2047, 2311, 1010, 2074, 4084, 2185, 2013, 1996, 6842, 2314, 1999, 2896, 7128, 1012, 6058, 4822, 2024, 2524, 2000, 2272, 2011, 1010, 1998, 4050, 2445, 2069, 2000, 5826, 1012, 17765, 25297, 2015, 2024, 2525, 28699, 10924, 2008, 2139, 1011, 12404, 12706, 2040, 5630, 2000, 2994, 2097, 2031, 2000, 2507, 2039, 2037, 3332, 3193, 1012, 1037, 2544, 1997, 2023, 3720, 3544, 1999, 6140, 2006, 2244, 2410, 1010, 2230, 1010, 2006, 3931, 17350, 1997, 1996, 2047, 2259, 3179, 2007, 1996, 17653, 1024, 2012, 17765, 1010, 5826, 2024, 2081, 1010, 1998, 4895, 21565, 1012, 2344, 25364, 2015, 1064, 2651, 1005, 1055, 3259, 1064, 4942, 29234, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 19118, 24456, 2003, 2556, 1999, 3053, 2035, 26524, 13321, 2015, 1006, 12849, 9148, 6962, 3211, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 18827, 1033, 1007, 1010, 2021, 2049, 14260, 4972, 2031, 2025, 2042, 3449, 14194, 8524, 3064, 2138, 1997, 2049, 5866, 10988, 1012, 4659, 4867, 2007, 1037, 2146, 20996, 3367, 3217, 3540, 14066, 2140, 6698, 1010, 1996, 19118, 24456, 2003, 3697, 2000, 2817, 2007, 3115, 4649, 3258, 2030, 3405, 5461, 1999, 1037, 14260, 20680, 1012, 11265, 21017, 2389, 16907, 5461, 1010, 2174, 1010, 2031, 3936, 2116, 5919, 1997, 19118, 21493, 4984, 2854, 1010, 1998, 2087, 5328, 2055, 19118, 21493, 4972, 2024, 2241, 2006, 2049, 2522, 28228, 9289, 20831, 1006, 3968, 9050, 9589, 1998, 7939, 10464, 1010, 1031, 1030, 29491, 2549, 1033, 1025, 13675, 6799, 1998, 15259, 1010, 1031, 1030, 29491, 2509, 1033, 1025, 28103, 3111, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22932, 1033, 1007, 1010, 2029, 2421, 2195, 4310, 6970, 29122, 2483, 27921, 2594, 21796, 1006, 8117, 7405, 25955, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21486, 1033, 1025, 5622, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 22889, 10698, 7974, 5488, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23499, 1033, 1025, 6517, 15249, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1012, 2478, 16127, 1011, 2241, 16907, 5461, 1999, 11432, 1010, 2057, 3728, 2988, 2008, 1996, 23290, 1011, 1059, 2232, 2555, 3934, 6118, 2000, 1996, 24528, 28277, 19118, 24456, 1010, 2021, 2069, 17541, 2000, 1996, 12997, 27572, 24932, 2389, 19118, 24456, 1006, 3499, 4710, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2549, 1033, 1025, 5624, 23584, 1998, 3499, 4710, 1010, 1031, 1030, 29491, 2475, 1033, 1025, 3044, 1998, 3499, 4710, 1010, 1031, 1030, 1038, 23632, 1033, 1025, 3044, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23777, 1033, 1007, 1012, 2096, 1996, 23290, 1011, 1059, 2232, 2555, 2515, 2025, 4374, 28309, 12247, 21796, 2013, 1996, 24528, 28277, 19118, 24456, 1010, 2009, 2003, 6118, 5110, 16952, 2094, 2011, 1996, 12997, 27572, 24932, 2389, 19118, 24456, 1012, 2011, 5688, 1010, 19118, 21493, 7264, 2007, 1996, 23290, 18921, 17960, 2497, 4655, 2024, 20172, 20288, 1998, 2024, 7580, 12997, 27572, 24932, 2389, 1012, 1999, 2804, 1010, 1996, 1059, 24158, 5484, 2555, 1999, 1055, 2487, 8460, 17132, 2003, 5110, 16952, 2094, 2011, 1996, 12997, 27572, 24932, 2389, 19118, 24456, 2130, 2295, 1055, 2487, 17132, 2515, 2025, 2622, 2000, 1996, 19118, 24456, 1999, 2593, 14130, 1012, 2122, 9556, 2024, 3278, 2138, 4654, 24759, 6525, 7062, 1059, 24158, 6834, 2003, 2019, 3161, 16792, 2832, 2008, 5942, 3086, 1998, 2003, 17758, 2135, 1011, 14206, 2005, 1996, 3800, 1997, 13868, 11937, 6593, 9463, 2592, 2055, 1996, 13589, 2838, 1997, 1996, 2334, 4044, 1006, 15805, 2389, 1998, 26766, 2078, 1010, 1031, 1030, 1038, 18139, 1033, 1025, 11857, 7076, 2239, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 16703, 1033, 1007, 1012, 2011, 7831, 1010, 8469, 3372, 18921, 17960, 2497, 5750, 2024, 6524, 2065, 2412, 2109, 2109, 2000, 23084, 1996, 13589, 2838, 1997, 2093, 1011, 8789, 2686, 1010, 2021, 2024, 3701, 4986, 2007, 4637, 1998, 3048, 1996, 2303, 2083, 2686, 1012, 1996, 5456, 1997, 2019, 6970, 29122, 2483, 27921, 2594, 19118, 24456, 1011, 2241, 12732, 2008, 8539, 1996, 2522, 28228, 9289, 4655, 2008, 2832, 1059, 24158, 5484, 1011, 3141, 2592, 9469, 2149, 2000, 1044, 22571, 14573, 2229, 4697, 2008, 1996, 19118, 24456, 2323, 2031, 2714, 4984, 7264, 2007, 1996, 5107, 2291, 1012, 2066, 1059, 24158, 6834, 5248, 1010, 4654, 24759, 6525, 7062, 3239, 5750, 5478, 3086, 1998, 2024, 4986, 2007, 8851, 13868, 5107, 2592, 2000, 23084, 1037, 5041, 13589, 2555, 1006, 18178, 2721, 13793, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2487, 1033, 1025, 9261, 1998, 8872, 18155, 2050, 1010, 1031, 1030, 1038, 2575, 1033, 1025, 7825, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22203, 1033, 1007, 1012, 1999, 11432, 1996, 19118, 24456, 8267, 1037, 2261, 21796, 2013, 5107, 2181, 2324, 2497, 1010, 2021, 8990, 3904, 2013, 2181, 2459, 1006, 4679, 1998, 29536, 13512, 1010, 1031, 1030, 1038, 24594, 1033, 1025, 11782, 1998, 11030, 1010, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 1996, 23420, 2112, 1997, 1996, 9350, 19118, 24456, 3934, 2000, 5107, 17132, 1006, 5622, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 6517, 15249, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1010, 2021, 3251, 1996, 19118, 24456, 2038, 21358, 7512, 4765, 2030, 1041, 12494, 4765, 7264, 2007, 1996, 10768, 2546, 3464, 4242, 1012, 5262, 1010, 2053, 2951, 5769, 3251, 1996, 9350, 19118, 24456, 2003, 2112, 1997, 1037, 4487, 6508, 2532, 20746, 6970, 29122, 2483, 27921, 2594, 4984, 2008, 2071, 13530, 1996, 10768, 2546, 1998, 1058, 2487, 2752, 1012, 3568, 1010, 2000, 3231, 2023, 10744, 1010, 2057, 19737, 14405, 10624, 24170, 1998, 22307, 24170, 7637, 2869, 2046, 19389, 2135, 1011, 4225, 4573, 1999, 10768, 2546, 1998, 1058, 2487, 1012, 2057, 4102, 1996, 3463, 1010, 2247, 2007, 4895, 2890, 6442, 2098, 2951, 2013, 2256, 3025, 9350, 2817, 1006, 3044, 1998, 3499, 4710, 1010, 1031, 1030, 1038, 23632, 1033, 1007, 1010, 2000, 16907, 2951, 7801, 2013, 1996, 5297, 8000, 4167, 20831, 11568, 1012, 2256, 9556, 5769, 2008, 1996, 19118, 24456, 2003, 2112, 1997, 2019, 6970, 29122, 2483, 27921, 2594, 4984, 2008, 12939, 1996, 10768, 2546, 1999, 2028, 14130, 2000, 19818, 1996, 2168, 2592, 2000, 1996, 1058, 2487, 1998, 10768, 2546, 2522, 28228, 9289, 2752, 1999, 1996, 2060, 14130, 1012, 4475, 1998, 4725, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 28141, 16907, 7885, 2020, 2864, 2006, 2093, 4639, 3287, 11867, 29181, 5657, 1011, 4830, 20609, 11432, 1006, 2798, 2314, 1007, 15243, 3998, 1011, 1011, 8698, 1043, 1012, 2035, 8853, 23758, 2098, 2000, 2120, 2820, 1997, 2740, 4781, 1998, 2020, 4844, 2011, 9502, 2110, 2118, 1032, 1005, 1055, 12148, 4111, 2729, 1998, 2224, 2837, 1012, 4111, 5970, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 11432, 2020, 3322, 2019, 4355, 27065, 3550, 3081, 26721, 7606, 15431, 1006, 10047, 1007, 13341, 1997, 1037, 3816, 5576, 1997, 17710, 15464, 3170, 16731, 2140, 1006, 2871, 11460, 1013, 4705, 1007, 1998, 1060, 23943, 21254, 1006, 2260, 11460, 1013, 4705, 1007, 1012, 3176, 10047, 13341, 2015, 1997, 2012, 18981, 3170, 25003, 29607, 1006, 1014, 1012, 1019, 11460, 1013, 4705, 1007, 2000, 5787, 22953, 12680, 4818, 3595, 8496, 1010, 20647, 14074, 8322, 3385, 2063, 13365, 17344, 1006, 1019, 11460, 1013, 4705, 1007, 2000, 5547, 4167, 18348, 1010, 1998, 4372, 3217, 10258, 11636, 6305, 2378, 1006, 1016, 1012, 1019, 11460, 1013, 4705, 1007, 2000, 4652, 8985, 2020, 2445, 2077, 20014, 19761, 3436, 1996, 19817, 15395, 2050, 2083, 1996, 8700, 17790, 1998, 18834, 11733, 3436, 1996, 9350, 2007, 7722, 1012, 2044, 6885, 1996, 4111, 1999, 1037, 12991, 2696, 9048, 2278, 6602, 1010, 2049, 2540, 3446, 1010, 16464, 3446, 1010, 2203, 1011, 15065, 6351, 14384, 1010, 1998, 2668, 7722, 2020, 17785, 1006, 7505, 5856, 19510, 1007, 2802, 1996, 6388, 7709, 1012, 2303, 4860, 2001, 12222, 2011, 1037, 28667, 9080, 15113, 4987, 2000, 1037, 2188, 14573, 2121, 7712, 8768, 2872, 2006, 1996, 12759, 2217, 1997, 1996, 4111, 1025, 1037, 2980, 2300, 8768, 2001, 2872, 7650, 1996, 9350, 2004, 2092, 1012, 6728, 11039, 8865, 7712, 1051, 18447, 3672, 2001, 4162, 2000, 4652, 9781, 15879, 17462, 1012, 2044, 1999, 20614, 2075, 20934, 8197, 7903, 18175, 2046, 1996, 21065, 1010, 1037, 3054, 4179, 4297, 19969, 2001, 2864, 2000, 5107, 4697, 1996, 13675, 7088, 2819, 1010, 1998, 1037, 2598, 11224, 2001, 12889, 2046, 1037, 13675, 7088, 11439, 8029, 2058, 1996, 8292, 2890, 17327, 2819, 1012, 13675, 7088, 11439, 28397, 2020, 2036, 2081, 2058, 5013, 17132, 1006, 1015, 1011, 1011, 1017, 3461, 20996, 20528, 2140, 1010, 1014, 1012, 1019, 1011, 1011, 1017, 3461, 11457, 2000, 7987, 13910, 2863, 1007, 1998, 5107, 17132, 1006, 1019, 1011, 1011, 1021, 3461, 6187, 14066, 2140, 1010, 1017, 1011, 1011, 1019, 3461, 11457, 2000, 7987, 13910, 2863, 1007, 1999, 2119, 14130, 2015, 2429, 2000, 12093, 1999, 6643, 20303, 2891, 1998, 7908, 1006, 1031, 1030, 1038, 22022, 1033, 1007, 1012, 26721, 26775, 27532, 12702, 16643, 12274, 13490, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 26721, 26775, 27532, 12702, 16643, 12274, 13490, 1006, 24582, 5244, 1007, 2001, 2589, 1999, 11432, 2000, 4949, 5013, 17132, 1012, 12702, 16643, 12274, 13490, 2001, 2864, 2104, 17710, 15464, 3170, 1011, 1060, 23943, 21254, 2019, 25344, 2000, 3965, 18921, 4502, 2860, 1010, 1059, 24158, 5484, 1010, 2030, 3239, 5750, 1012, 2206, 12702, 16643, 12274, 13490, 12375, 1010, 1996, 2019, 4355, 20086, 2110, 2001, 5224, 2007, 1032, 1066, 1015, 1003, 11163, 10258, 4648, 2638, 1012, 2522, 28228, 9289, 20858, 2001, 8564, 2011, 1032, 1066, 1015, 1049, 29739, 28413, 1011, 3561, 3221, 8667, 14581, 1012, 2119, 2460, 1006, 3770, 1011, 5796, 1010, 5539, 22100, 1007, 1998, 2146, 1006, 1015, 1011, 1055, 1010, 2531, 22100, 1007, 8187, 4499, 2020, 8564, 1012, 1037, 12170, 21890, 19570, 5377, 2783, 3120, 1006, 8670, 2243, 8139, 1010, 18667, 2072, 1011, 1016, 1007, 2001, 2109, 2000, 3231, 2783, 3798, 1997, 2184, 1011, 1011, 5539, 1166, 2050, 2000, 6709, 1996, 7290, 11207, 2012, 2169, 2609, 5214, 1997, 12005, 26243, 2075, 1037, 2929, 1012, 20858, 2001, 4146, 2012, 3674, 4573, 1999, 2169, 4111, 2061, 2008, 7637, 2099, 13341, 2015, 2071, 2022, 22493, 2306, 1996, 4539, 2555, 2000, 4468, 7637, 2099, 17271, 4270, 2046, 4193, 15066, 1012, 1996, 12991, 2696, 9048, 2278, 12093, 2008, 23408, 23461, 5750, 2020, 2714, 2000, 3025, 4311, 1006, 2534, 1998, 11409, 16425, 4747, 2213, 1010, 1031, 1030, 29491, 2620, 1033, 1025, 11265, 10354, 7952, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22394, 1033, 1025, 7570, 12494, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2683, 1033, 1025, 7987, 15937, 2102, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2683, 1033, 1025, 15030, 4757, 1998, 29058, 1010, 1031, 1030, 29491, 2581, 1033, 1007, 1012, 28688, 2015, 2020, 10959, 28721, 2000, 1996, 24624, 2140, 3302, 1998, 12889, 2000, 11143, 1006, 1032, 1066, 1015, 3461, 1007, 2008, 17254, 2000, 6741, 1058, 1010, 2029, 3397, 2522, 28228, 3597, 8569, 20850, 2906, 1998, 2522, 28228, 13186, 26787, 2140, 15698, 1012, 1996, 28688, 2001, 3322, 2872, 1016, 1011, 1011, 1017, 3461, 11457, 2000, 1996, 3054, 4179, 2000, 6709, 1996, 18921, 4502, 2860, 6630, 1006, 23290, 1011, 1042, 2361, 1007, 1012, 2062, 23828, 4573, 1006, 1015, 1011, 1011, 1016, 3461, 11457, 1007, 23408, 23461, 4766, 1059, 24158, 5484, 2128, 6494, 22014, 1006, 23290, 1011, 2128, 1007, 2076, 3770, 1011, 5796, 20858, 4499, 1012, 2012, 1996, 2087, 23828, 12093, 1006, 1032, 1066, 1015, 3461, 11457, 1007, 1010, 1996, 28688, 2001, 3935, 6748, 2000, 5646, 1996, 5013, 15066, 1999, 1996, 23828, 2924, 1997, 19124, 17132, 1012, 2012, 4573, 2284, 1015, 1012, 1019, 1011, 1011, 1017, 1012, 1014, 3461, 20996, 20528, 2140, 1010, 20858, 2012, 11143, 1015, 1012, 1019, 1011, 1011, 1016, 1012, 1019, 3461, 2917, 1996, 24624, 2140, 3302, 23408, 23461, 3239, 5750, 5710, 2000, 1996, 6248, 3239, 1012, 2582, 6187, 14066, 9215, 1010, 1015, 1011, 1055, 2146, 3345, 20858, 23408, 23461, 23563, 14797, 1059, 24158, 5484, 5750, 2012, 23290, 1006, 23290, 1011, 1054, 2860, 1007, 4573, 2284, 1014, 1012, 1019, 1011, 1011, 1015, 1012, 1021, 3461, 20996, 20528, 2140, 2000, 7987, 13910, 2863, 1012, 1059, 24158, 5484, 5750, 2012, 23290, 1011, 1054, 2860, 4573, 2020, 4703, 17758, 1006, 15030, 4757, 1998, 29058, 1010, 1031, 1030, 29491, 2581, 1033, 1007, 1012, 2119, 10768, 2546, 1998, 23290, 1011, 1054, 2860, 2024, 2284, 2784, 1999, 1996, 23828, 2924, 1997, 19124, 17132, 1010, 2021, 2027, 2031, 5664, 13100, 2247, 1996, 20996, 20528, 2140, 1998, 6187, 14066, 2140, 8123, 1012, 4469, 16882, 11265, 21017, 2389, 5633, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2000, 6709, 4573, 1999, 3078, 5107, 17132, 1006, 1058, 2487, 1007, 1010, 1996, 2168, 28688, 2015, 2109, 2005, 24582, 5244, 12375, 2020, 2109, 2000, 4949, 5107, 17132, 1012, 2044, 12532, 10087, 11873, 1996, 28688, 2013, 1996, 5377, 2783, 3120, 1010, 2009, 2001, 4198, 2000, 1996, 4641, 26702, 1997, 1037, 4830, 5289, 22686, 1006, 2944, 10545, 2692, 1007, 2061, 2008, 4469, 16882, 11889, 2015, 2071, 2022, 26986, 1010, 2316, 15194, 21839, 1006, 3998, 1011, 1011, 11910 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1013, 1008, 1008, 1008, 9385, 1006, 1039, 1007, 2355, 1044, 22571, 10222, 3686, 4297, 1012, 2035, 2916, 9235, 1012, 1008, 1026, 1052, 1028, 1008, 7000, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1000, 6105, 1000, 1007, 1025, 1008, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 2007, 1996, 6105, 1012, 1008, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 1008, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 1008, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 4007, 1008, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1000, 2004, 2003, 1000, 3978, 1010, 1008, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 1008, 2156, 1996, 6105, 2005, 1996, 3563, 2653, 8677, 6656, 2015, 1998, 1008, 12546, 2104, 1996, 6105, 1012, 1008, 1013, 7427, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 21183, 12146, 1025, 12324, 9262, 1012, 3793, 1012, 3722, 13701, 14192, 4017, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 3058, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 2862, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 19723, 10288, 1012, 5418, 1025, 12324, 11924, 1012, 10439, 1012, 4023, 1025, 12324, 11924, 1012, 10439, 1012, 4023, 24805, 4590, 1025, 12324, 11924, 1012, 10439, 1012, 4023, 24805, 4590, 1012, 2770, 10230, 4939, 14876, 1025, 12324, 11924, 1012, 10439, 1012, 9499, 27184, 8649, 1025, 12324, 11924, 1012, 10439, 1012, 5082, 27184, 8649, 1025, 12324, 11924, 1012, 4180, 1012, 6123, 1025, 12324, 11924, 1012, 8389, 1012, 28667, 2102, 1025, 12324, 11924, 1012, 5658, 1012, 20831, 24805, 4590, 1025, 12324, 11924, 1012, 5658, 1012, 2897, 2378, 14876, 1025, 12324, 11924, 1012, 9808, 1012, 3857, 1025, 12324, 11924, 1012, 3793, 1012, 3793, 21823, 4877, 1025, 12324, 11924, 1012, 21183, 4014, 1012, 4653, 12589, 2015, 1025, 12324, 11924, 1012, 21183, 4014, 1012, 8833, 1025, 12324, 11924, 1012, 3193, 1012, 3193, 1025, 12324, 11924, 1012, 3193, 1012, 3193, 13334, 16429, 8043, 6299, 1025, 12324, 11924, 1012, 15536, 24291, 1012, 3793, 8584, 1025, 12324, 11924, 1012, 15536, 24291, 1012, 15174, 1025, 12324, 4012, 1012, 4862, 3676, 3676, 1012, 3435, 22578, 2239, 1012, 1046, 3385, 10288, 24422, 1025, 12324, 4012, 1012, 4862, 3676, 3676, 1012, 3435, 22578, 2239, 1012, 1046, 3385, 16429, 20614, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 1044, 2696, 9397, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 1044, 13535, 5644, 5794, 2102, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 1054, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 9353, 25090, 24872, 1012, 5587, 19699, 9013, 5104, 1012, 13260, 19699, 9013, 2094, 1012, 3967, 2378, 14876, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 9353, 25090, 24872, 1012, 2364, 1012, 2326, 8663, 2696, 16649, 1012, 2326, 20330, 1025, 12324, 4012, 1012, 1044, 21246, 7971, 4270, 1012, 5470, 20303, 11039, 1012, 5884, 1012, 5310, 1025, 12324, 4012, 1012, 21025, 2705, 12083, 1012, 20877, 13910, 1012, 9973, 16001, 4842, 1012, 9973, 1025, 12324, 4012, 1012, 3781, 2213, 2546, 21619, 2692, 1012, 1054, 24759, 12322, 1012, 3781, 2213, 19699, 15042, 8751, 3372, 1025, 12324, 4012, 1012, 3781, 2213, 2546, 21619, 2692, 1012, 1054, 24759, 12322, 1012, 8299, 1012, 2944, 1012, 2918, 5302, 9247, 1025, 12324, 4012, 1012, 3781, 2213, 2546, 21619, 2692, 1012, 5906, 1012, 8299, 1012, 7929, 11039, 25856, 5302, 9247, 9289, 20850, 8684, 1025, 2270, 2465, 2691, 21823, 4877, 1063, 2797, 10763, 2345, 5164, 6415, 1027, 1000, 2691, 21823, 4877, 1000, 1025, 2797, 10763, 15174, 15174, 1025, 2797, 10763, 5082, 27184, 8649, 13764, 8649, 1025, 1013, 1008, 1008, 1008, 4638, 2065, 2897, 10927, 20470, 2571, 1008, 1008, 1030, 11498, 2213, 6123, 1008, 1030, 2709, 1008, 1013, 2270, 10763, 22017, 20898, 3475, 3388, 6198, 24230, 1006, 6123, 6123, 1007, 1063, 2065, 1006, 6123, 999, 1027, 19701, 1007, 1063, 20831, 24805, 4590, 11338, 18256, 6593, 7730, 24805, 4590, 1027, 1006, 20831, 24805, 4590, 1007, 6123, 1012, 4152, 27268, 6633, 8043, 7903, 2063, 1006, 6123, 1012, 20831, 1035, 2326, 1007, 1025, 2897, 2378, 14876, 24098, 3388, 6198, 2378, 14876, 1027, 11338, 18256, 6593, 7730, 24805, 4590, 1012, 2131, 19620, 7159, 6198, 2378, 14876, 1006, 1007, 1025, 2065, 1006, 24098, 3388, 6198, 2378, 14876, 999, 1027, 19701, 1007, 1063, 2709, 24098, 3388, 6198, 2378, 14876, 1012, 18061, 3567, 11733, 3468, 1006, 1007, 1004, 1004, 24098, 3388, 6198, 2378, 14876, 1012, 2003, 24230, 1006, 1007, 1025, 1065, 1065, 2709, 6270, 1025, 1065, 1013, 1008, 1008, 1008, 4638, 2065, 17371, 11522, 4839, 1008, 1008, 1030, 2709, 1008, 1013, 2270, 10763, 22017, 20898, 26354, 16409, 4232, 10288, 2923, 1006, 1007, 1063, 2065, 1006, 11924, 1012, 9808, 1012, 4044, 1012, 2131, 10288, 16451, 9777, 4263, 13923, 12259, 1006, 1007, 1012, 19635, 1006, 11924, 1012, 9808, 1012, 4044, 1012, 2865, 1035, 5614, 1007, 1007, 2709, 2995, 1025, 2842, 2709, 6270, 1025, 1065, 10763, 5164, 4152, 18886, 3070, 1006, 6123, 6123, 1010, 20014, 24501, 3593, 1007, 1063, 2709, 6123, 1012, 2131, 6072, 8162, 9623, 1006, 1007, 1012, 4152, 18886, 3070, 1006, 24501, 3593, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 2131, 2327, 4023, 1008, 1030, 11498, 2213, 6123, 1008, 1030, 2709, 1008, 1013, 2270, 10763, 5164, 2131, 14399, 18908, 7730, 1006, 6123, 6123, 1007, 1063, 4023, 24805, 4590, 3208, 1027, 1006, 4023, 24805, 4590, 1007, 6123, 1012, 4152, 27268, 6633, 8043, 7903, 2063, 1006, 6123, 1012, 4023, 1035, 2326, 1007, 1025, 2862, 1026, 2770, 10230, 4939, 14876, 1028, 2770, 10230, 4939, 14876, 2015, 1027, 3208, 1012, 2131, 15532, 5582, 10230, 5705, 1006, 1015, 1007, 1025, 2065, 1006, 2770, 10230, 4939, 14876, 2015, 999, 1027, 19701, 1007, 2709, 2770, 10230, 4939, 14876, 2015, 1012, 2131, 1006, 1014, 1007, 1012, 2327, 18908, 7730, 1012, 2131, 26266, 18442, 1006, 1007, 1025, 2842, 2709, 1000, 1000, 1025, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 2275, 20330, 5498, 20925, 27901, 2099, 1006, 5310, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1001, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 2000, 29547, 18992, 3366, 1006, 1007, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 3661, 1027, 1027, 12398, 27901, 2099, 1004, 1004, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 1065, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 4520, 2121, 7903, 12377, 29050, 22592, 3334, 1006, 2326, 20330, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1001, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 13542, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 2000, 29547, 18992, 3366, 1006, 1007, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 12398, 27901, 2099, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 3661, 1027, 1027, 12398, 27901, 2099, 1004, 1004, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 20330, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 1065, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 999, 4638, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 5498, 20925, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 12398, 27901, 2099, 1007, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 2275, 8663, 2696, 16649, 2378, 14876, 5498, 20925, 27901, 2099, 1006, 3967, 2378, 14876, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1001, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 5310, 1012, 2275, 27901, 2099, 1006, 3661, 1012, 2000, 29547, 18992, 3366, 1006, 1007, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 2709, 1025, 1065, 2065, 1006, 3661, 1027, 1027, 12398, 27901, 2099, 1004, 1004, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1007, 1007, 1063, 3661, 1027, 9973, 1012, 2327, 24300, 2378, 1006, 5310, 1012, 2131, 18442, 1006, 1007, 1012, 2000, 7507, 19848, 9447, 1006, 1007, 1031, 1014, 1033, 1007, 1025, 1065, 5310, 1012, 2275, 27901, 2099, 1006, 3661, 1012, 4942, 3367, 4892, 1006, 1014, 1010, 1015, 1007, 1007, 1025, 2065, 1006, 3475, 17897, 7277, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1064, 1064, 999, 4638, 1006, 5310, 1012, 2131, 27901, 2099, 1006, 1007, 1007, 1007, 1063, 5310, 1012, 2275, 27901, 2099, 1006, 1000, 1001, 1000, 1007, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 2275, 3988, 3661, 1997, 2429, 5310, 1005, 1055, 8367, 1006, 5310, 18442, 2065, 2053, 8367, 1007, 1008, 1008, 1030, 11498, 2213, 1008, 1030, 11498, 2213, 5310, 1008, 1013, 2270, 10763, 11675, 2275, 20330, 27058, 19968, 7585, 2099, 1006, 5310, 5310, 1007, 1063, 2345, 5164, 12398, 27901, 2099, 1027, 1000, 1014, 1000, 1025, 5164, 3661, 1027, 12398, 27901, 2099, 1025, 5164, 18558, 1027, 5310, 1012, 2131, 20330, 2378, 14876, 1006, 1007, 1025, 1046, 3385, 16429, 20614, 5310, 22578, 2239, 1027, 1046, 3385, 16429, 20614, 1012, 11968, 3366, 16429, 20614, 1006, 18558, 1007, 1025, 5164, 2136, 3593, 1027, 5310, 22578, 2239, 1012, 4152, 18886, 3070, 1006, 1000, 2136, 3593, 1000, 1007, 1025, 2065, 1006, 999, 3793, 21823, 4877, 1012, 2003, 6633, 13876, 2100, 1006, 2136, 3593, 1007, 1007, 1063, 3661, 1027, 2136, 3593, 1025, 5310, 1012, 2275, 5498, 20925, 27901, 2099, 1006, 3661, 1007, 1025, 2709, 1025 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1015, 1038, 1012, 1054, 1012, 18164, 1006, 3245, 1007, 1999, 2128, 4459, 1037, 1012, 7570, 7174, 3600, 1010, 14258, 1998, 6202, 2004, 1055, 1004, 1054, 1056, 1012, 1058, 1012, 8139, 1010, 17482, 1012, 9267, 1011, 20475, 1010, 4297, 1012, 1998, 2034, 3552, 8169, 1004, 3404, 2194, 1010, 10439, 14774, 2229, 1010, 1058, 1012, 4459, 1037, 1012, 7570, 7174, 3600, 1010, 14258, 1998, 6202, 2004, 1055, 1004, 1054, 1056, 1012, 1058, 1012, 8139, 1010, 10439, 24178, 1012, 10528, 2053, 1012, 6146, 1011, 16345, 1010, 25022, 2615, 1012, 2053, 1012, 6535, 1011, 5139, 2620, 1012, 2142, 2163, 2212, 2457, 1010, 1049, 1012, 1040, 1012, 3552, 1012, 2244, 2410, 1010, 3245, 1012, 1008, 19883, 2798, 1037, 1012, 16994, 3523, 1010, 16994, 1010, 16994, 1004, 6178, 16161, 1010, 20635, 1011, 23189, 1010, 6643, 1012, 1010, 2005, 10439, 24178, 1012, 2198, 1053, 1012, 4241, 26891, 1010, 2053, 5856, 1010, 1051, 1005, 25271, 1004, 5671, 1010, 26123, 1010, 6643, 1012, 1010, 2005, 10439, 14774, 2229, 1012, 20336, 1998, 2344, 2957, 1052, 1012, 9530, 7875, 6977, 1010, 2212, 3648, 1012, 4459, 1037, 1012, 7570, 7174, 3600, 1010, 14258, 1998, 6202, 2004, 1055, 1004, 1054, 1056, 1012, 1058, 1012, 8139, 1010, 6406, 1037, 10758, 9964, 1999, 10528, 2006, 2337, 2322, 1010, 3299, 1012, 27081, 2000, 3513, 3963, 2487, 1998, 6390, 2475, 1010, 9267, 1011, 20475, 1010, 4297, 1012, 1998, 2034, 3552, 8169, 1998, 3404, 2194, 2716, 2019, 27248, 18207, 2114, 7570, 7174, 3600, 2000, 5646, 1996, 11889, 8010, 1997, 1037, 7016, 2029, 2002, 12232, 2000, 2068, 1012, 1037, 4994, 2006, 1996, 3043, 2001, 2218, 2077, 10528, 3648, 22194, 1010, 1998, 2002, 4340, 2008, 1996, 23953, 9267, 1011, 20475, 1998, 2034, 3552, 2924, 2020, 4709, 2000, 2031, 2037, 7016, 3272, 2098, 2013, 1996, 2344, 1997, 11889, 1012, 7570, 7174, 3600, 2038, 12068, 2008, 9128, 2000, 2023, 1008, 19936, 2457, 27081, 2000, 10528, 3627, 3770, 2487, 1012, 2144, 2057, 2424, 2008, 1996, 8866, 2004, 2179, 2011, 1996, 10528, 3648, 2024, 23713, 2135, 3569, 2011, 1996, 2501, 1010, 1998, 2079, 2490, 2010, 15306, 1997, 2375, 2057, 2097, 21358, 27972, 1996, 9128, 1997, 1996, 10528, 3648, 1012, 1996, 27427, 15878, 3064, 2791, 2029, 2003, 1996, 3395, 1997, 2023, 2895, 2003, 1996, 2765, 1997, 1037, 2723, 2933, 12135, 3820, 2029, 2001, 3133, 2046, 2011, 9267, 1011, 20475, 2004, 17024, 1010, 2034, 3552, 2924, 2004, 12135, 4005, 1998, 7570, 7174, 3600, 2004, 11033, 1012, 1996, 17482, 4162, 2005, 2023, 2933, 1999, 2238, 1997, 3381, 1012, 2002, 7864, 4923, 5097, 1998, 3361, 8635, 1999, 2490, 1997, 2010, 4646, 1012, 3904, 1997, 2122, 3988, 8635, 2020, 6270, 2030, 22369, 1999, 2151, 2126, 1012, 7570, 7174, 3600, 1005, 1055, 4646, 2001, 4844, 1010, 1998, 2006, 2251, 1016, 1010, 3381, 1010, 2002, 6472, 1037, 11033, 2723, 1011, 2933, 3820, 1998, 3696, 14049, 20104, 2007, 2034, 3552, 1012, 2023, 3206, 4379, 2032, 1037, 7119, 2240, 1997, 4923, 1999, 1996, 3815, 1997, 1002, 2322, 1010, 2199, 1012, 2104, 1996, 11033, 2723, 1011, 2933, 6512, 1010, 9267, 1011, 20475, 8127, 3941, 2000, 7570, 7174, 3600, 1010, 1998, 2001, 3825, 2005, 1996, 5167, 5359, 2011, 1996, 2924, 1012, 2043, 7570, 7174, 3600, 3525, 2853, 2019, 8875, 2002, 2001, 2000, 2830, 2010, 7909, 2005, 2009, 3202, 2000, 1996, 2924, 1012, 9267, 1011, 20475, 4846, 4638, 2545, 1010, 2040, 2253, 2000, 1996, 3265, 16743, 2169, 3204, 2000, 4638, 1996, 12612, 2114, 2037, 2636, 1010, 1998, 5646, 2008, 5372, 10504, 2020, 2108, 2081, 1012, 2065, 1996, 4638, 2121, 2179, 2008, 1037, 3538, 1997, 3941, 2001, 2025, 1999, 1996, 12612, 1010, 1998, 7909, 2005, 2009, 2018, 2025, 2042, 2830, 2098, 2000, 1996, 2924, 1010, 2002, 2001, 2000, 8145, 7909, 2077, 2975, 1996, 11033, 1012, 7570, 7174, 3600, 5224, 2010, 2173, 1997, 2449, 1999, 2010, 2188, 1010, 1998, 8250, 2010, 3941, 1999, 2010, 8102, 1012, 2076, 1996, 2698, 2706, 3188, 2000, 2285, 1997, 3326, 1010, 2009, 2150, 6233, 3697, 2005, 1996, 4638, 2121, 4137, 2000, 7570, 7174, 3600, 2000, 4685, 2010, 5704, 1010, 2138, 1996, 11122, 5644, 2020, 8250, 1999, 2019, 29104, 2181, 1012, 7570, 7174, 3600, 3271, 1996, 4638, 2121, 2011, 3752, 1996, 7642, 3616, 2013, 1996, 11122, 5644, 2000, 2032, 1010, 2096, 1996, 4638, 2121, 4102, 2068, 2000, 2010, 2862, 1012, 2044, 1996, 3558, 4175, 2001, 2949, 1010, 2119, 1996, 4638, 2121, 1998, 7570, 7174, 3600, 2052, 3696, 1998, 20410, 1996, 3189, 2077, 2009, 2253, 2067, 2000, 9267, 1011, 20475, 1012, 1999, 2285, 1997, 3326, 1010, 7570, 7174, 3600, 6727, 9267, 1011, 20475, 1005, 4923, 3208, 2008, 2002, 2018, 1000, 22673, 1000, 2006, 1996, 4311, 2008, 2002, 2018, 2081, 2007, 1996, 4638, 2121, 1012, 2002, 2018, 2170, 2944, 1998, 7642, 3616, 2013, 4064, 11122, 5644, 1010, 2130, 2295, 2070, 1997, 1996, 5167, 2018, 1999, 2755, 2042, 4394, 2144, 2251, 1997, 3326, 1012, 1996, 2561, 3643, 1997, 2035, 1996, 4394, 5167, 2001, 4340, 2000, 2022, 1002, 1023, 1010, 5018, 1012, 3590, 1012, 2930, 2459, 1006, 1037, 1007, 1997, 1996, 10528, 2552, 1010, 2340, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 3486, 1006, 1037, 1007, 1010, 3272, 2015, 3056, 13930, 2013, 11889, 1999, 10528, 1010, 2164, 1024, 1000, 1006, 1016, 1007, 1012, 1012, 1012, 22393, 14680, 2005, 11381, 2769, 2030, 3200, 2011, 6270, 3653, 25808, 2229, 2030, 6270, 15066, 1010, 2030, 2005, 11381, 2769, 2030, 3200, 2006, 4923, 2030, 11381, 2019, 5331, 2030, 14524, 1997, 4923, 1999, 17975, 2588, 1037, 3430, 2135, 6270, 4861, 1999, 3015, 27818, 2010, 3361, 4650, 2081, 2030, 2405, 2030, 3303, 2000, 2022, 2081, 2030, 2405, 1999, 2151, 5450, 18971, 2007, 7848, 2000, 11703, 7416, 3726, 1012, 1000, 1996, 2283, 6224, 2000, 13520, 1037, 7016, 2512, 10521, 7507, 20800, 3085, 2104, 2023, 2930, 2442, 6011, 1996, 2206, 3787, 1024, 1000, 1036, 1006, 1015, 1007, 1996, 7016, 2953, 2081, 1996, 15066, 1025, 1006, 1016, 1007, 2008, 2012, 1996, 2051, 2002, 2354, 2027, 2020, 6270, 1025, 1006, 1017, 1007, 2008, 2002, 2081, 2068, 2007, 1996, 6808, 1998, 3800, 1997, 11703, 7416, 6455, 1996, 4923, 2953, 1025, 1006, 1018, 1007, 2008, 1996, 4923, 2953, 13538, 2006, 2107, 15066, 1998, 1006, 1019, 1007, 2008, 1996, 4923, 2953, 8760, 1996, 6884, 3279, 1998, 4053, 2004, 1996, 4013, 9048, 8585, 2765, 1997, 1996, 15066, 2383, 2042, 2081, 1012, 1005, 1000, 4086, 1058, 1012, 23168, 5446, 2522, 1012, 1010, 25246, 1042, 1012, 10514, 9397, 1012, 20263, 1010, 5139, 2509, 1006, 1059, 1012, 1040, 1012, 12436, 1012, 3476, 1007, 1012, 20466, 2006, 10528, 1010, 6400, 3179, 20423, 2459, 1012, 2385, 1052, 1012, 25702, 15841, 2023, 9347, 1024, 1000, 1037, 6270, 6630, 2306, 1996, 3574, 1997, 11075, 1006, 1016, 1007, 2089, 8676, 1997, 1037, 6270, 3361, 4861, 2081, 2000, 1996, 4923, 2953, 2005, 1996, 3800, 1997, 11381, 3200, 2006, 4923, 3408, 1012, 1006, 8951, 3572, 1007, 2348, 2553, 2375, 2018, 2584, 2023, 2765, 3188, 2000, 1996, 3624, 7450, 1010, 1006, 8951, 3572, 1007, 1996, 2804, 1997, 1996, 2206, 11075, 1999, 1073, 2459, 2050, 1006, 1016, 1007, 3718, 2151, 4797, 2006, 1996, 3395, 1024, 1006, 8951, 3572, 1007, 1036, 2030, 2005, 11381, 2769, 2030, 3200, 2006, 4923, 2030, 11381, 2019, 5331, 2030, 14524, 1008, 17405, 1997, 4923, 1999, 17975, 2588, 1037, 3430, 2135, 6270, 4861, 1999, 3015, 27818, 2010, 3361, 4650, 2081, 2030, 2405, 2030, 3303, 2000, 2022, 2081, 2030, 2405, 1999, 2151, 5450, 18971, 2007, 7848, 2000, 11703, 7416, 3726, 1012, 1012, 1012, 1012, 1005, 1006, 8951, 3572, 1007, 2021, 1037, 4861, 2029, 2001, 2995, 2043, 2445, 1010, 2097, 2025, 12346, 1037, 6270, 6630, 2138, 1997, 1037, 4745, 2689, 1999, 1996, 7016, 2953, 1005, 1055, 3821, 1010, 4983, 1996, 4861, 17367, 1037, 5719, 6630, 2138, 1997, 1996, 7016, 2953, 1005, 1055, 4611, 2000, 12367, 1996, 4923, 2953, 1997, 3431, 1999, 2010, 1006, 1996, 7016, 2953, 1005, 1055, 1007, 3570, 1012, 1006, 8951, 3572, 1007, 1012, 1000, 1996, 10528, 3648, 1010, 2241, 2006, 1996, 2682, 8910, 1997, 2375, 1010, 2179, 2008, 1996, 12612, 8635, 1999, 3160, 2020, 1000, 5719, 15066, 1000, 2011, 1996, 7016, 2953, 1010, 2008, 1996, 23112, 13538, 2006, 2068, 2000, 2037, 20010, 20026, 4765, 1010, 2008, 1996, 7016, 2953, 8969, 2008, 1996, 8635, 2020, 6270, 1010, 1998, 2081, 2005, 1996, 3800, 1997, 11703, 7416, 6455, 1996, 23112, 1010, 1998, 2008, 2004, 1037, 2765, 1997, 2037, 17975, 2006, 2122, 15066, 1010, 1996, 23112, 4265, 1037, 3279, 1997, 1002, 1023, 1010, 5018, 1012, 3590, 1012, 3568, 1010, 2002, 3272, 2098, 2023, 7016, 2013, 11889, 1012, 1999, 15252, 1996, 9128, 2015, 1997, 1037, 10528, 3648, 1010, 1996, 2212, 2457, 2442, 5138, 1996, 10528, 3648, 1005, 1055, 9556, 1997, 2755, 4983, 2027, 2024, 4415, 9413, 20793, 3560, 1010, 3228, 2349, 7634, 2000, 1996, 4495, 1997, 1996, 10528, 3648, 2000, 3648, 1996, 21553, 1997, 1996, 9390, 1012, 2156, 10528, 3627, 6282, 2692, 1012, 1996, 4415, 9413, 20793, 3560, 3115, 2515, 2025, 6611, 2000, 3980, 1997, 2375, 1010, 1998, 1996, 10528, 3648, 1005, 1055, 3423, 15306, 2089, 2025, 2022, 4844, 2302, 2256, 2981, 9128, 1997, 1996, 3423, 3980, 1012, 1999, 2128, 13097, 26654, 1010, 19151, 1042, 1012, 10514, 9397, 1012, 10550, 2692, 1010, 10550, 2629, 1006, 1041, 1012, 1040, 1012, 6643, 1012, 1007, 1025, 23409, 20466, 20423, 4464, 1012, 2654, 2012, 16710, 2475, 1011, 16710, 2509, 1012, 1996, 7016, 2953, 1005, 1055, 17304, 2000, 1996, 9556, 1997, 1996, 10528, 3648, 4853, 2093, 3314, 2005, 2256, 9584, 1024, 1006, 1015, 1007, 3251, 1996, 28616, 2890, 28994, 19304, 2015, 2081, 2011, 1996, 7016, 2953, 2020, 4745, 2000, 1996, 5331, 1997, 4923, 1010, 1998, 3568, 2031, 2053, 3466, 2006, 1996, 11889, 8010, 1997, 2023, 2004, 1037, 3653, 1011, 4493, 7016, 1025, 1006, 1016, 1007, 3251, 1996, 3335, 12259, 8163, 1998, 4525, 16542, 12612, 4311, 2020, 1000, 5719, 15066, 1000, 2006, 2029, 1996, 4923, 2953, 2001, 4709, 2000, 11160, 1025, 1998, 1006, 1017, 1007, 3251, 1996, 23112, 8760, 2037, 10859, 1997, 6947, 1012, 1996, 7016, 2953, 1005, 1055, 2034, 22224, 2003, 2241, 2006, 1996, 6958, 2008, 1996, 9861, 4072, 2000, 3272, 1037, 7016, 2013, 11889, 2442, 2031, 5839, 2043, 1996, 7016, 2001, 2580, 1010, 1998, 2008, 2151, 4745, 27105, 6204, 2003, 4297, 5644, 2063, 15417, 4818, 1012, 2002, 9251, 2008, 1996, 2434, 5331, 1997, 4923, 2182, 2165, 2173, 2077, 2151, 6270, 8635, 2020, 2081, 1010, 1998, 2008, 2010, 4745, 28616, 2890, 28994, 19304, 2015, 3568, 2079, 2025, 3347, 2023, 7016, 2013, 11889, 1012, 1999, 2490, 1997, 2023, 1010, 1996, 7016, 2953, 16803, 2006, 2195, 3572, 2029, 2057, 2424, 2000, 2022, 27118, 9397, 20049, 2618, 2138, 2027, 3066, 2007, 13930, 2580, 2011, 1037, 2309, 3206, 1010, 5331, 1997, 4923, 2030, 7909, 2349, 1010, 1998, 9989, 1997, 9861, 4745, 2000, 1996, 2051, 1996, 4923, 2001, 3668, 1012, 1031, 1015, 1033, 2053, 3572, 2024, 6563, 2073, 2045, 2003, 2019, 7552, 3276, 2030, 2607, 1997, 7149, 2090, 1996, 4243, 1010, 2004, 1999, 1996, 2553, 2012, 3347, 1012, 2037, 3820, 23133, 1037, 12379, 2240, 1997, 4923, 1010, 3395, 2000, 15861, 9312, 1010, 2029, 2872, 2006, 1996, 7016, 2953, 1037, 4611, 2000, 2191, 5719, 15066, 1999, 1996, 2433, 1997, 7058, 12612, 4311, 2000, 2562, 1996, 4923, 2953, 6727, 1997, 2010, 3570, 1012, 3568, 1010, 2057, 3685, 5993, 2008, 2023, 2553, 2003, 9950, 2011, 1996, 6958, 4081, 2011, 1996, 7016, 2953, 1998, 2003, 2025, 3395, 2000, 11889, 2006, 2008, 3978, 1012, 7016, 2953, 2279, 27481, 2015, 2008, 1996, 12612, 4311, 2020, 2025, 5719, 15066, 2081, 2011, 2032, 2138, 2027, 2020, 2081, 2011, 5126, 1997, 1996, 4923, 2953, 1010, 1998, 2020, 2025, 2010, 8635, 1012, 1008, 20294, 1996, 4638, 2545, 4846, 2011, 1996, 23112, 2020, 4082, 2429, 2000, 1996, 2206, 8128, 1024, 1000, 2009, 2003, 2115, 2590, 5368, 2000, 8186, 5646, 3251, 2030, 2025, 5167, 2145, 2108, 13790, 2024, 2006, 1996, 11033, 1005, 1055, 2723, 1012, 1037, 8210, 9361, 1997, 2256, 2862, 2114, 1996, 11033, 1005, 1055, 2636, 2003, 2025, 7182, 1010, 4496, 2323, 1996, 3105, 2022, 11849, 2094, 2000, 1996, 11033, 2030, 2028, 1997, 2010, 5126, 1012, 1012, 1012, 1012, 2256, 3661, 2000, 1996, 11033, 1010, 18066, 2032, 2000, 1996, 2933, 1010, 2038, 2409, 2032, 2008, 2017, 2097, 4638, 2005, 2149, 1010, 1998, 2356, 1996, 11033, 2000, 3073, 2017, 2007, 2296, 6792, 2061, 2008, 2017, 2064, 2079, 2115, 3105, 4089, 1998, 2007, 1996, 2560, 2825, 16915, 2000, 1996, 11033, 1012, 1000, 1996, 7016, 2953, 27481, 2015, 2008, 1996, 4638, 2121, 2001, 2025, 3772, 2429, 2000, 2010, 8128, 2043, 2002, 3039, 1996, 7016, 2953, 2000, 6509, 2032, 1999, 2437, 1996, 12612, 4638, 1010, 1998, 2008, 1996, 4923, 2953, 3568, 2003, 2025, 4709, 2000, 11160, 2006, 2122, 4311, 1012, 2174, 1010, 1996, 4638, 2121, 1005, 1055, 8128, 2079, 3499, 2032, 2000, 28845, 1996, 6792, 1997, 1996 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 8417, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1015, 1012, 4955, 1016, 1012, 16298, 23943, 2618, 21903, 11163, 14192, 1011, 2241, 18114, 1998, 21453, 14828, 2897, 1016, 1012, 1015, 1012, 16298, 23943, 2618, 21903, 11163, 22694, 1999, 1996, 13502, 2475, 1012, 1016, 1012, 16298, 23943, 2618, 21903, 11163, 22694, 1999, 3526, 9587, 18724, 1998, 16371, 14321, 26601, 4770, 2188, 28696, 6190, 2475, 1012, 1017, 1012, 16298, 23943, 2618, 21903, 2334, 3989, 1998, 21935, 5826, 1017, 1012, 16298, 23943, 2618, 21903, 4937, 20766, 5422, 1156, 1011, 6887, 2891, 8458, 10253, 2140, 4651, 1998, 3526, 2943, 4610, 1018, 1012, 16298, 23943, 2618, 21903, 1998, 23713, 14828, 1024, 2019, 6377, 21453, 8822, 1998, 4742, 18168, 23041, 21261, 2291, 1019, 1012, 23713, 2004, 5415, 4762, 8381, 1998, 2659, 2943, 4742, 1010, 2865, 4263, 1997, 4319, 2895, 1998, 17261, 4005, 1020, 1012, 16298, 23943, 2618, 21903, 1998, 23713, 14828, 6125, 1999, 2303, 2943, 13851, 1021, 1012, 16298, 23943, 2618, 21903, 2196, 16626, 1024, 2013, 8776, 18114, 14828, 2000, 10047, 23041, 10244, 8873, 29125, 1010, 3526, 9587, 18724, 18419, 1010, 2128, 4588, 7934, 1040, 7274, 23737, 1998, 13617, 3170, 11137, 12419, 2791, 1022, 1012, 12654, 1015, 1012, 1012, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3522, 2913, 3073, 2047, 3350, 1997, 1996, 4310, 18114, 1010, 21453, 8822, 1998, 14828, 2535, 2209, 2011, 1996, 28498, 9007, 16298, 23943, 2618, 21903, 2029, 4937, 20766, 11254, 1996, 16371, 14321, 26601, 6887, 2891, 8458, 10253, 2140, 3863, 4668, 23409, 18927, 1587, 12649, 1009, 23713, 1010, 4187, 1999, 3526, 2166, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 29491, 2487, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 7145, 1010, 1996, 3853, 1997, 16298, 23943, 2618, 21903, 2038, 2042, 28025, 2000, 1008, 2139, 24576, 1008, 16298, 3170, 16371, 14321, 26601, 10752, 1998, 3526, 2943, 4610, 2083, 7816, 1997, 16371, 14321, 26601, 21879, 1999, 2367, 26721, 16882, 27998, 1998, 23713, 1011, 7591, 21453, 16285, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 29491, 2581, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 16298, 23943, 2618, 21903, 2038, 2042, 20531, 3273, 1010, 2164, 2049, 14471, 1998, 4962, 26572, 19539, 1010, 8153, 1998, 13908, 3670, 1010, 26721, 16882, 4353, 1998, 3252, 11263, 27989, 3276, 1032, 1031, 1031, 1030, 1038, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2509, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2575, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 17788, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 2023, 4654, 6633, 24759, 14144, 16298, 23943, 2618, 21903, 2004, 1037, 2944, 5250, 2005, 16371, 14321, 26601, 8031, 15439, 1998, 6887, 2891, 8458, 10253, 2140, 4651, 4937, 20766, 6190, 1032, 1031, 1031, 1030, 29491, 2683, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 18827, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 17788, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 1996, 18114, 2535, 1997, 16298, 23943, 2618, 21903, 2038, 4227, 3327, 7784, 2206, 5456, 2008, 2023, 9007, 27777, 4651, 1998, 27891, 1997, 1157, 1011, 1998, 1156, 1011, 6887, 2891, 8458, 10253, 4877, 1999, 1996, 12649, 13922, 2083, 1037, 4677, 1997, 25582, 9597, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 23833, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22407, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 1996, 16298, 23943, 2618, 21903, 1011, 4937, 20766, 5422, 2943, 4651, 10382, 1998, 27854, 6204, 3258, 4984, 4145, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24594, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 21486, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1006, 1031, 3275, 1015, 1033, 1006, 1001, 20069, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 2003, 3569, 2011, 16012, 15869, 1010, 6887, 2891, 8458, 10253, 2140, 3863, 11702, 2478, 1034, 2324, 1034, 19330, 16336, 2989, 1010, 19389, 1998, 4962, 1011, 11369, 2913, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2620, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22907, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 1998, 2003, 13644, 2109, 2000, 4863, 18114, 14828, 10595, 1999, 2540, 1998, 20415, 6650, 1032, 1031, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22932, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 1999, 18714, 3595, 3258, 1032, 1031, 1031, 1030, 1038, 19961, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22610, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 5812, 4945, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 21486, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 18139, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 12376, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 13656, 2458, 1032, 1031, 1031, 1030, 1038, 22203, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 22275, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 2943, 2490, 1997, 1996, 3526, 13502, 1032, 1031, 1031, 1030, 1038, 14142, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22022, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 27009, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24087, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1010, 2004, 2092, 2004, 1999, 18047, 1998, 3526, 9587, 18724, 1032, 1031, 1031, 1030, 1038, 2620, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 26976, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 28154, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 6650, 1997, 17712, 2487, 11369, 12328, 1010, 2007, 2028, 2625, 6887, 2891, 8458, 4140, 5521, 22747, 2121, 4677, 1010, 4653, 2896, 18114, 8122, 1010, 12430, 23370, 20504, 2015, 1998, 1037, 5514, 4530, 1999, 3206, 15148, 2588, 2003, 5403, 10092, 3378, 2007, 20419, 2026, 24755, 25070, 1011, 21449, 2892, 28014, 1010, 23713, 1998, 16298, 20049, 2638, 4245, 1010, 1998, 18234, 21453, 4742, 4807, 2000, 1996, 10804, 21453, 13617, 1011, 1996, 12649, 1011, 7591, 18044, 3149, 1006, 1047, 1011, 12649, 1007, 1998, 19112, 14828, 2000, 1996, 2943, 1011, 13851, 23713, 1011, 8878, 5250, 21903, 1006, 23713, 2243, 1007, 1032, 1031, 1031, 1030, 1038, 2549, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 16703, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22394, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 19481, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 23499, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 1996, 4310, 3754, 1997, 1996, 1034, 2324, 1034, 1051, 1011, 7197, 1034, 2861, 1034, 1052, 1011, 13221, 2099, 6028, 2000, 8080, 16298, 23943, 2618, 21903, 6887, 2891, 8458, 4140, 5521, 22747, 2121, 1998, 23713, 4742, 10949, 1999, 10109, 14095, 1010, 2362, 2007, 11702, 1997, 6887, 2891, 8458, 4140, 5521, 22747, 2121, 6165, 2083, 13675, 5243, 10196, 21903, 1998, 1043, 2135, 25778, 21252, 1013, 1043, 2135, 3597, 6914, 4747, 21252, 13782, 1998, 10960, 1997, 21453, 13907, 3073, 2582, 20062, 2046, 2019, 6377, 12562, 18114, 1010, 21453, 8822, 1998, 2943, 13851, 8278, 1032, 1031, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 14142, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24434, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22932, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 16086, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 2349, 2000, 1037, 4310, 3200, 1997, 1996, 4937, 20766, 5422, 4668, 1010, 16298, 23943, 2618, 21903, 2003, 3858, 2004, 1037, 7591, 6398, 1997, 1996, 12562, 2943, 2110, 1010, 22969, 2235, 3431, 1999, 1996, 5703, 2090, 12649, 1998, 4748, 2361, 2046, 4659, 2312, 3431, 1999, 23713, 6693, 1032, 1031, 1031, 1030, 29491, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 24594, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 2575, 2475, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 2023, 12939, 16285, 1998, 21453, 13907, 2008, 2024, 5360, 2011, 23713, 2000, 6869, 2007, 3020, 14639, 1998, 22625, 2000, 6911, 7755, 1032, 1031, 1031, 1030, 1038, 22394, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 19481, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 25746, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 16086, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1011, 1011, 1031, 1030, 1038, 2575, 2509, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1032, 1033, 1012, 3522, 2951, 2582, 5769, 2008, 16298, 23943, 2618, 21903, 19872, 26721, 16882, 23713, 14828, 2003, 11211, 2007, 1037, 2193, 1997, 23713, 1011, 26651, 3787, 2164, 21453, 13907, 1010, 23713, 5054, 28032, 3512, 21453, 16285, 1998, 16298, 20049, 2638, 14828, 1032, 1031, 1031, 1030, 1038, 2629, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 14142, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 22394, 1011, 1045, 24703, 2015, 1011, 2184, 1011, 5890, 2581, 24594, 1033, 1010, 1031, 1030, 1038, 20958, 1011, 1045, 24703, 2015 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2045, 2024, 2195, 4436, 2005, 11557, 1521, 1055, 4125, 1517, 2025, 2560, 2426, 2068, 1996, 6517, 2110, 1997, 2175, 2361, 4883, 2492, 2005, 2262, 1012, 2021, 1045, 1521, 2222, 3579, 2006, 2074, 2048, 1024, 1006, 1015, 1007, 11458, 11557, 19821, 2129, 2317, 11992, 2228, 1010, 1998, 1006, 1016, 1007, 4282, 2074, 2054, 2027, 2215, 2000, 2963, 2013, 2619, 2066, 2032, 1012, 11557, 2038, 18856, 5243, 7178, 2000, 1010, 1998, 2513, 2153, 1998, 2153, 2000, 1037, 2146, 24911, 4603, 6772, 2043, 2009, 3310, 2000, 3060, 4841, 1998, 2060, 2111, 1997, 3609, 2040, 2123, 1521, 1056, 3789, 3951, 1024, 2216, 6910, 12455, 2074, 2123, 1521, 1056, 2113, 2054, 1521, 1055, 2204, 2005, 1521, 7861, 1012, 2009, 1521, 1055, 1037, 3722, 3437, 1010, 2004, 1045, 2626, 1999, 2384, 1012, 2009, 4158, 2000, 2033, 2008, 1045, 1521, 1040, 2657, 1996, 2785, 1997, 4933, 2077, 1010, 2087, 3728, 1999, 1996, 7928, 4525, 2013, 1037, 22953, 27225, 23278, 2008, 3728, 3631, 2041, 2055, 1996, 13954, 1997, 3056, 2304, 10643, 1012, 2009, 1521, 1055, 1996, 2168, 3937, 17871, 1045, 1521, 2310, 2657, 1999, 2074, 2055, 2296, 6594, 1045, 1521, 2310, 2042, 2920, 1999, 2058, 2339, 2045, 4995, 1521, 1056, 2062, 2304, 10643, 1012, 2026, 2391, 2038, 2467, 2042, 2008, 10643, 1517, 2066, 2060, 9197, 2317, 4411, 1517, 5247, 2062, 2051, 4851, 2339, 2062, 2304, 2111, 4995, 1521, 1056, 5241, 2068, 2084, 2027, 2079, 4851, 3209, 2339, 2027, 4995, 1521, 1056, 15411, 2062, 2304, 6793, 1012, 1999, 2060, 2616, 1010, 2027, 4468, 1996, 4507, 2008, 1996, 3114, 2027, 2123, 1521, 1056, 9958, 2062, 2304, 6793, 2003, 2138, 2027, 2123, 1521, 1056, 4769, 1517, 1998, 4995, 1521, 1056, 2464, 2004, 12786, 1517, 1996, 3791, 1998, 5936, 1997, 2116, 1999, 2304, 4279, 1012, 1996, 4106, 2196, 4152, 2582, 2084, 2008, 2138, 2009, 2052, 2763, 25174, 2037, 2783, 2918, 1997, 2373, 1012, 2061, 2296, 6594, 1045, 1521, 2310, 2018, 4515, 2039, 2007, 1996, 2060, 2217, 1521, 1055, 6685, 16018, 2091, 2000, 2023, 1024, 1996, 3114, 2062, 10823, 2123, 1521, 1056, 2490, 1996, 3951, 2283, 2003, 2138, 2027, 2123, 1521, 1056, 2113, 2054, 1521, 1055, 2204, 2005, 2068, 1012, 2008, 1521, 1055, 1996, 3835, 2126, 1997, 5128, 2009, 1012, 1996, 2062, 14969, 2126, 1997, 5128, 2009, 2052, 2022, 2172, 3553, 2000, 1996, 2126, 1996, 4603, 28205, 2682, 2404, 2009, 1012, 2138, 2027, 2024, 12873, 1012, 1996, 10823, 2040, 2123, 1521, 1056, 3789, 3951, 2024, 12873, 1529, 1006, 2023, 9575, 3475, 1521, 1056, 3132, 2000, 2679, 1010, 2011, 1996, 2126, 1012, 1996, 2168, 2064, 6611, 2000, 2151, 9197, 24004, 6914, 3560, 3029, 2008, 11014, 2000, 18612, 8757, 2049, 6938, 1010, 11896, 2000, 2079, 2061, 1010, 1998, 2059, 16278, 2339, 1012, 4496, 2024, 13350, 2030, 6555, 2015, 11311, 1012, 2057, 2323, 2023, 1999, 2568, 2043, 2057, 4687, 2339, 2057, 2123, 1521, 1056, 2031, 2062, 2490, 2426, 2317, 2551, 1011, 2465, 4841, 1010, 2116, 1997, 3183, 2587, 1996, 6938, 1997, 1996, 4182, 2545, 1998, 5572, 2112, 10136, 1012, 1007, 2009, 1521, 1055, 2019, 3733, 2041, 1010, 2138, 2009, 2987, 1521, 1056, 5478, 10643, 2000, 4769, 2037, 2219, 11376, 1010, 2292, 2894, 2689, 2009, 1012, 2009, 1521, 1055, 6082, 2000, 3198, 1523, 2339, 2123, 1521, 1056, 2062, 10823, 3789, 3951, 1029, 1524, 1998, 3437, 1523, 2138, 2027, 2123, 1521, 1056, 2113, 2151, 2488, 1010, 1524, 1523, 2138, 2027, 2123, 1521, 1056, 2113, 2054, 1521, 1055, 2204, 2005, 2068, 1010, 1524, 2030, 1523, 2138, 2027, 1521, 2128, 4167, 27283, 1012, 1524, 2553, 2701, 1012, 2009, 1521, 1055, 3733, 1010, 2138, 2017, 2123, 1521, 1056, 2342, 2000, 2079, 2505, 2842, 1010, 3272, 3383, 2022, 5302, 2319, 2037, 4945, 2000, 1523, 7968, 2039, 1524, 1998, 1523, 3693, 2149, 1012, 1524, 2045, 1521, 1055, 2053, 2147, 1998, 2053, 2689, 3223, 2006, 2115, 2112, 1012, 2969, 7749, 1010, 2006, 1996, 2060, 2192, 1010, 2003, 2524, 1012, 2009, 1521, 1055, 6211, 2000, 3198, 1523, 2129, 2024, 2057, 7989, 2000, 4769, 1996, 5936, 1997, 6039, 1011, 1999, 1011, 1996, 1011, 2177, 6464, 1010, 2061, 2008, 2027, 2097, 8100, 2215, 2000, 3693, 2149, 1029, 1524, 1010, 2138, 1996, 3437, 2089, 4119, 1998, 5478, 2017, 2000, 2689, 2070, 1997, 2115, 17568, 1012, 2017, 2031, 2000, 2404, 4426, 1999, 1996, 2597, 1997, 1996, 1523, 2060, 1010, 1524, 1998, 2059, 2147, 6211, 2000, 2424, 3971, 2000, 4769, 2037, 5936, 1999, 1996, 6123, 1997, 2115, 5300, 1012, 2009, 1521, 1055, 2130, 6211, 2138, 4945, 2003, 2059, 2115, 6346, 1517, 2025, 17156, 1012, 2004, 25435, 17306, 2912, 2685, 2041, 1010, 2065, 10643, 2356, 3209, 1996, 2117, 3160, 1010, 2027, 1521, 1040, 2031, 2000, 5136, 2008, 2672, 3060, 4841, 2031, 2070, 2204, 4436, 2005, 2025, 6830, 3951, 1012, 3060, 4841, 2024, 2025, 4167, 27283, 1012, 1996, 3484, 1997, 2304, 2111, 2490, 1996, 3537, 2283, 2138, 2009, 2003, 2037, 3037, 2000, 2079, 2061, 1010, 2012, 2023, 2391, 1999, 2051, 1012, 3537, 27722, 11955, 2350, 2942, 2916, 6094, 4566, 3958, 11465, 1012, 8037, 3569, 1998, 3613, 2000, 2490, 27352, 2895, 1012, 3537, 11274, 2031, 2805, 6794, 1998, 4905, 11593, 2040, 2031, 8047, 2942, 2916, 1012, 1996, 4500, 2003, 2995, 2005, 3951, 27722, 1012, 1996, 8037, 2020, 1996, 2034, 2350, 2576, 2283, 2000, 23388, 2019, 3060, 2137, 2005, 2343, 1012, 1996, 8037, 2020, 1996, 2034, 2283, 2000, 16823, 2019, 3060, 2137, 2004, 1037, 4259, 2457, 3425, 1012, 2087, 2304, 2700, 4584, 2024, 8037, 1012, 2116, 3060, 4841, 2907, 3145, 4460, 1998, 15536, 14273, 6937, 3747, 1999, 1996, 3537, 2283, 1012, 2008, 2003, 2025, 2995, 2007, 4847, 2000, 1996, 3951, 2283, 1012, 1999, 3433, 2000, 1996, 26465, 1997, 2942, 2916, 6094, 1010, 18910, 23423, 2187, 1996, 3537, 2283, 1998, 6783, 2000, 1996, 3951, 2283, 1012, 2000, 2663, 2058, 2670, 18771, 5130, 1010, 1996, 3951, 2283, 4233, 1996, 2670, 5656, 1998, 2150, 10420, 2000, 2942, 2916, 1010, 3667, 2916, 1998, 7574, 1012, 2612, 1997, 2108, 1996, 2283, 1997, 5367, 1010, 1996, 3951, 2283, 2150, 1996, 2283, 1997, 2358, 21716, 16215, 3126, 2386, 1998, 7627, 16254, 2015, 1012, 1999, 3466, 1010, 1996, 3951, 2283, 2150, 1996, 2047, 2317, 4480, 1521, 2473, 1012, 2009, 2003, 2053, 16507, 2008, 10643, 2024, 2012, 1996, 2392, 2240, 6984, 9255, 1997, 1996, 16939, 8055, 2627, 1012, 2061, 2521, 1010, 2069, 2028, 1997, 6890, 1521, 1055, 2175, 2361, 9169, 2038, 7034, 2006, 1050, 1011, 2773, 4974, 5867, 1024, 11458, 11557, 1012, 2356, 7483, 2055, 1996, 2466, 1010, 11557, 1010, 1996, 2069, 2304, 3951, 1999, 1996, 2679, 1010, 25694, 2041, 2012, 6890, 1012, 1523, 2144, 3099, 6890, 2038, 2042, 2183, 2045, 2005, 2086, 2000, 5690, 1010, 1045, 2228, 2008, 2009, 3065, 1037, 3768, 1997, 14639, 2005, 1037, 2146, 2051, 1997, 2025, 2635, 2008, 2773, 2125, 1997, 2008, 2600, 1998, 24944, 1996, 2173, 1010, 1524, 11557, 2056, 2006, 2023, 2733, 1012, 2006, 4419, 2739, 4465, 1010, 11557, 2794, 2008, 2045, 1523, 3475, 1521, 1056, 1037, 2062, 25047, 1010, 4997, 2773, 2084, 1996, 1050, 1011, 2773, 1998, 2005, 2032, 2000, 2681, 2009, 2045, 2004, 2146, 2004, 2002, 2106, 2077, 1010, 1045, 2963, 1010, 2008, 2027, 2633, 4993, 2058, 2009, 1010, 2003, 2074, 5810, 16021, 6132, 13043, 2000, 1037, 2843, 1997, 2304, 2111, 1999, 2023, 2406, 1012, 1524, 11557, 1521, 1055, 4668, 2003, 5121, 3305, 3085, 1012, 3087, 2071, 2424, 1996, 22191, 5805, 1010, 1998, 11557, 2003, 1037, 2304, 2158, 2040, 3473, 2039, 1999, 1996, 24382, 2148, 1012, 1998, 2664, 1010, 2004, 2745, 12675, 4801, 2685, 2041, 2651, 1010, 2009, 1521, 1055, 11557, 1010, 2025, 6890, 1010, 2040, 2071, 2022, 5591, 1996, 2087, 2011, 2023, 2466, 1012, 2000, 3305, 2339, 1010, 2017, 2031, 2000, 5136, 2008, 2045, 2024, 2048, 2477, 10643, 5223, 2062, 2084, 2505, 1012, 2028, 2003, 2108, 5496, 1997, 14398, 1010, 2029, 2038, 3047, 2007, 4852, 6075, 2144, 2343, 8112, 2150, 2343, 1010, 1998, 1010, 2065, 2017, 3198, 10643, 1010, 2003, 2196, 1010, 2412, 15123, 1012, 2048, 2003, 15571, 3949, 2011, 1996, 9382, 25352, 7731, 2865, 1012, 2061, 2426, 10643, 1010, 1996, 6923, 3433, 2000, 1996, 2695, 2466, 2001, 2025, 1010, 1523, 10166, 1010, 6174, 6890, 18358, 2039, 1012, 1524, 2009, 2001, 1010, 1523, 1996, 4314, 2865, 2003, 15488, 27242, 2178, 3951, 2004, 1037, 16939, 999, 1524, 2009, 1521, 1055, 1999, 2023, 6123, 2008, 1996, 25748, 2038, 4158, 1012, 11557, 2347, 1521, 1056, 14026, 9608, 24665, 2666, 26711, 1517, 2002, 2001, 1523, 14255, 2989, 2006, 1524, 1998, 4190, 25090, 4328, 6774, 1037, 22889, 5243, 9096, 2576, 2886, 1012, 1996, 3679, 20587, 1521, 1055, 4717, 4572, 7009, 2023, 2851, 1010, 1523, 11557, 1521, 1055, 7928, 2020, 1517, 2012, 2190, 1517, 21371, 1517, 1998, 2012, 5409, 1010, 3811, 20868, 6072, 26029, 19307, 1012, 2009, 2001, 1037, 10036, 2915, 1010, 1998, 1010, 3383, 1037, 4742, 2008, 11557, 2003, 5627, 2000, 2377, 1996, 2679, 4003, 2114, 1037, 3507, 3951, 2043, 2009, 6666, 2032, 1012, 1524, 2058, 2012, 1996, 4603, 9927, 2417, 2110, 1010, 4388, 4388, 26579, 2758, 1996, 2466, 2003, 1523, 1037, 22889, 12243, 11458, 11557, 2003, 8130, 2039, 1998, 2770, 2007, 2004, 1037, 2126, 2000, 2131, 2046, 2117, 2173, 1012, 1524, 11557, 2218, 2010, 4416, 2043, 1996, 4378, 22017, 2098, 1037, 5637, 5268, 2012, 1037, 3951, 5981, 1012, 2021, 2002, 2001, 1996, 2069, 3951, 4018, 2000, 6232, 4697, 6174, 6890, 2058, 1006, 1037, 1007, 1996, 2171, 1997, 2010, 5933, 3409, 1998, 1006, 1038, 1007, 2010, 4945, 2000, 2689, 2009, 1012, 2502, 6707, 1012, 1523, 9152, 13327, 4974, 1524, 2993, 2106, 2210, 2000, 7386, 6890, 1521, 1055, 3061, 2426, 2175, 2361, 7206, 1012, 1006, 7521, 1998, 6890, 1521, 1055, 3458, 1011, 1999, 23606, 5981, 2836, 2106, 2008, 1012, 1007, 4214, 6890, 2041, 2058, 1523, 9152, 13327, 4974, 1524, 2106, 1037, 2204, 3066, 1997, 4053, 2000, 11458, 11557, 1012, 6655, 2002, 2180, 1521, 1056, 2079, 2008, 2153, 1012, 1996, 6123, 1997, 11557, 1521, 1055, 17674, 1998, 1996, 25748, 2114, 2009, 2453, 2036, 4863, 2339, 11557, 1999, 3327, 2038, 4567, 2210, 3060, 2137, 2490, 1010, 1998, 2339, 2010, 17057, 2052, 2763, 2025, 12992, 1996, 2193, 1997, 10823, 6830, 3951, 1012, 11238, 1996, 6123, 1010, 1998, 2054, 2116, 3060, 4841, 2156, 1999, 11557, 2003, 1996, 2168, 2518, 2027, 2156, 2043, 1996, 2298, 2012, 1996, 7777, 1997, 11805, 2726, 1517, 1037, 2304, 2158, 2040, 2038, 2973, 2146, 2438, 1010, 1998, 2003, 2214, 2438, 2008, 2002, 11276, 2000, 2113, 2488, 1012, 2138, 2027, 2113, 2488, 1010, 1998, 2113, 2008, 2002, 2428, 4282, 2488, 1010, 2087, 6869, 2000, 11557, 2007, 1037, 5220, 2048, 1011, 2773, 15322, 1024, 1523, 12593, 1010, 3531, 1012, 1524, 1529, 2070, 10823, 2066, 11557, 2031, 5407, 1037, 2235, 3538, 1997, 1996, 3171, 11345, 1010, 1998, 2031, 29295, 3445, 2037, 2576, 3362, 1998, 3061, 1012, 2023, 3084, 2009, 2130, 6082, 2000, 4965, 11557, 1521, 1055, 2240, 1998, 2000, 2131, 5506, 2012, 2216, 2008, 2123, 1521, 1056, 1998, 26960, 2068, 1997, 7491, 14398, 7188, 2505, 3632, 3308, 1012, 2174, 1010, 11557, 4282, 2021, 2052, 2196, 8108, 7271, 6449, 1996, 21741, 2075, 8866, 2008, 14518, 2913, 1010, 12265, 1010, 4311, 1010, 1998, 9751, 1010, 20543, 1010, 1998, 2457, 7860, 1010, 1998, 1996, 4020, 1997, 25212, 10085, 10821, 2031, 20868, 2890, 11263, 2696, 6321, 8832, 1012, 10823, 2024, 2145, 2048, 1998, 2093, 2335, 2062, 3497, 2000, 2022, 18787, 2084, 12461, 1010, 7567, 1999, 24382, 11681, 1010, 1998, 2031, 2037, 4268, 2097, 5463, 29591, 7699, 7989, 1010, 3262, 24382, 2270, 2816, 1012, 2402, 2304, 3767, 1998, 3801, 2024, 2521, 2062, 3497, 2000, 2022, 7129, 1010, 9015, 9820, 1013, 8387, 21358, 29301, 3258, 1010, 2000, 2022, 5762, 2135, 6337, 2094, 2011, 2610, 1010, 8580, 1010, 2872, 2006, 19703, 2030, 17393, 1010, 8642, 15605, 1999, 2116, 2163, 2013, 6830, 2138, 1997, 24648, 20488, 1010, 2172, 2062, 3497, 2000, 4374, 1996, 2331, 6531, 2926, 2065, 2037, 5694, 2024, 2317, 1010, 1998, 2062, 3497, 2000, 2022, 5694, 1997, 5762, 2135, 12774, 4808, 2084, 12461, 1012, 2470, 2913, 2265, 2008, 12461, 2007, 1037, 24648, 2501, 2024, 2062, 3497, 2000, 2022, 5086, 1999, 2070, 3182, 2084, 2267, 5161, 10823, 1012, 11557, 2052, 2196, 8722, 2010, 2970, 2000, 13399, 1996, 9762, 2755, 2008, 2690, 1011, 2465, 10823, 1010, 2066, 2370, 1010, 2040, 2128, 24065, 2094, 1996, 5221, 12154, 2013, 1996, 2942, 2916, 11785, 1010, 2411, 2424, 1996, 2047, 9282, 11681, 2027, 2693, 2000, 2128, 1011, 24382, 1998, 2574, 2298, 2066, 1996, 2214, 11681, 2027, 6783, 1012, 2027, 2024, 6439, 2011, 9298, 6853, 1010, 2628, 2011, 26706, 1999, 5324, 1010, 2187, 11865, 6562, 2012, 7884, 2138, 1997, 3532, 2030, 2053, 2326, 1010, 2424, 2008, 2062, 1998, 2062, 1997, 2037, 4124, 1998, 5727, 2024, 3013, 2041, 1997, 15691, 1998, 3076, 2490, 3454, 2012, 5534, 2138, 1997, 1996, 12451, 1997, 27352, 2895 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2951, 2003, 2800, 2012, 1996, 9152, 2232, 6787, 3001, 7366, 2415, 4037, 1024, 1026, 8299, 1024, 1013, 1013, 2358, 12458, 1012, 2740, 1012, 4895, 2213, 1012, 3968, 2226, 1013, 5906, 1011, 1998, 1011, 2951, 1013, 1028, 2104, 1996, 23268, 11066, 2951, 2182, 4957, 2044, 2292, 10497, 2890, 1047, 1012, 3802, 2632, 1012, 4431, 1012, 2036, 2800, 2005, 8816, 2013, 1024, 1026, 16770, 1024, 1013, 1013, 7479, 1012, 4530, 8758, 1012, 4012, 1013, 14021, 1013, 1038, 2863, 2497, 2549, 16022, 4103, 2595, 2078, 2581, 15422, 1013, 13360, 7630, 8093, 2015, 2683, 5558, 2099, 2487, 2615, 21472, 2278, 1035, 1039, 1035, 6146, 2497, 19062, 1029, 21469, 1027, 1014, 1028, 4955, 1063, 1001, 10819, 8889, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 3945, 2038, 2042, 8077, 3273, 1999, 7366, 1010, 3391, 1999, 13517, 1010, 2000, 3305, 2129, 4176, 3945, 2005, 2833, 1010, 14711, 1998, 8336, 1012, 1996, 5418, 1997, 2929, 2011, 6575, 6074, 13531, 3945, 8122, 1999, 1037, 3528, 1997, 6897, 18046, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2487, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2509, 1033, 1032, 1033, 1012, 15502, 26912, 3399, 6083, 2008, 4176, 1010, 2164, 2591, 4176, 2107, 2004, 16111, 1998, 13734, 1010, 2031, 7964, 9942, 2000, 14258, 2030, 13643, 25845, 2833, 13822, 1999, 10124, 2051, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2549, 1033, 1032, 1033, 1012, 2714, 2000, 26912, 4176, 1010, 1056, 4442, 1997, 1996, 11311, 2291, 3945, 2005, 7889, 2000, 4057, 2019, 11311, 3433, 1012, 1056, 4442, 2024, 1037, 4187, 11311, 3466, 2953, 1010, 3223, 2000, 3154, 13434, 15245, 1998, 2000, 2393, 1038, 4442, 3965, 27781, 1012, 1999, 2344, 2000, 17820, 2019, 4621, 11311, 3433, 1010, 15743, 1056, 4442, 2442, 8087, 1998, 7099, 7939, 13626, 18291, 4442, 1006, 5887, 2015, 1007, 7682, 2522, 16989, 2618, 28873, 1999, 1048, 24335, 8458, 14164, 1006, 1048, 3619, 1007, 1012, 1999, 1996, 6438, 1997, 8985, 1010, 1056, 4442, 10843, 4607, 1998, 6164, 1048, 3619, 21935, 2007, 5887, 2015, 1012, 2588, 8985, 1010, 5887, 2015, 2556, 2522, 16989, 2618, 28873, 1998, 3073, 2358, 5714, 20350, 2100, 7755, 2877, 2000, 1056, 3526, 13791, 1012, 1056, 3526, 1011, 5887, 10266, 2024, 3223, 2005, 15743, 1056, 4442, 2000, 5788, 1010, 20544, 1998, 2776, 3154, 8985, 2004, 2092, 2004, 5441, 11311, 3638, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2629, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2581, 1033, 1032, 1033, 1012, 1056, 3526, 13791, 2003, 3755, 2011, 5567, 16227, 1997, 3518, 5887, 2015, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2620, 1033, 1032, 1033, 1010, 2096, 2012, 1996, 2168, 2051, 1056, 4442, 8849, 1996, 2972, 2313, 1997, 5887, 2015, 2005, 4678, 28873, 24668, 1997, 8985, 1012, 2023, 7534, 1056, 4442, 2007, 2019, 20600, 3291, 1999, 2029, 1056, 4442, 2442, 5703, 1008, 16030, 2791, 1008, 1998, 1008, 6698, 1008, 1997, 3945, 1012, 2023, 5942, 2008, 2116, 1056, 4442, 3945, 2408, 1037, 5041, 1008, 6698, 1008, 1010, 3967, 2075, 2116, 5887, 2015, 2855, 1010, 1037, 2832, 2714, 2000, 15502, 26912, 1999, 4176, 1012, 7453, 1010, 1056, 3526, 3945, 2003, 2823, 1008, 16030, 1008, 1010, 8385, 16227, 1999, 1037, 2235, 2181, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2620, 1033, 1032, 1033, 1012, 2119, 1997, 2122, 5876, 9002, 2000, 1996, 3452, 3446, 2012, 2029, 1056, 4442, 8087, 5887, 2015, 2306, 1048, 3619, 1010, 2029, 2003, 1037, 4187, 6922, 1997, 15923, 2389, 10516, 4254, 2075, 1996, 3452, 10984, 1997, 1996, 11311, 3433, 1012, 4659, 2210, 20155, 4106, 2038, 2042, 2589, 2000, 6235, 2129, 1056, 4442, 2693, 1999, 1048, 3619, 2030, 2129, 2008, 2929, 13531, 1996, 3446, 2012, 2029, 1056, 4442, 8087, 5887, 2015, 1012, 3988, 2913, 2000, 3305, 1996, 2828, 1997, 1056, 3526, 4367, 1999, 1048, 3619, 2013, 13280, 2048, 1011, 26383, 12126, 1997, 15743, 1056, 4442, 4081, 2008, 1056, 4442, 2693, 2478, 1037, 3722, 4487, 4246, 2271, 3512, 6721, 3328, 1010, 19639, 2000, 2829, 2937, 4367, 1997, 10737, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2683, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2692, 1033, 1032, 1033, 1012, 2206, 2122, 2913, 1010, 15078, 11643, 1997, 1056, 1011, 5887, 10266, 2031, 2411, 2109, 3722, 4487, 4246, 2271, 3512, 6721, 7365, 2000, 5050, 1056, 3526, 5248, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2487, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2475, 1033, 1032, 1033, 1012, 2174, 1010, 4745, 2913, 2031, 2025, 10785, 2649, 1056, 3526, 4367, 1999, 1048, 3619, 1010, 2061, 2009, 2003, 10599, 3251, 4487, 4246, 2271, 3512, 6721, 7365, 2024, 6413, 4275, 2005, 1056, 3526, 2929, 1012, 15502, 6721, 3945, 9942, 2031, 2042, 8077, 3273, 1999, 13517, 1010, 1998, 12231, 4275, 1997, 2929, 2089, 2022, 6179, 2005, 2839, 6026, 1056, 3526, 9587, 18724, 1998, 3945, 8122, 1012, 2829, 2937, 4367, 1010, 12767, 7365, 1010, 1998, 23900, 6721, 7365, 1006, 13675, 9333, 1010, 2036, 2170, 14516, 6721, 7365, 1007, 1010, 2031, 2042, 3818, 2004, 7812, 3550, 6897, 3945, 4275, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2509, 1033, 1032, 1033, 1010, 2021, 6176, 20155, 4106, 2003, 3223, 2000, 3305, 2129, 2092, 3945, 4275, 2839, 4697, 1056, 3526, 9587, 18724, 1998, 3945, 8122, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2549, 1033, 1032, 1033, 1012, 2829, 2937, 4367, 2003, 2411, 3615, 2000, 2004, 1037, 3722, 6721, 3328, 1998, 2003, 7356, 2011, 2929, 2007, 27423, 5500, 3810, 12113, 1998, 2235, 4964, 3357, 10826, 5816, 2000, 1996, 2051, 5813, 1997, 8089, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2692, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2629, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2620, 1033, 1032, 1033, 1012, 24209, 11475, 27453, 12319, 2090, 2829, 2937, 4367, 1998, 1996, 2929, 1997, 12702, 21759, 7088, 19230, 4504, 1999, 3722, 6721, 4367, 2108, 2109, 2004, 1037, 7444, 2944, 1997, 3526, 4367, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2683, 1033, 1032, 1033, 1012, 2829, 2937, 4367, 3463, 1999, 4487, 4246, 2271, 3512, 2929, 1999, 2029, 3292, 7837, 2003, 14267, 2000, 1996, 2675, 7117, 1997, 2051, 1012, 1999, 2048, 9646, 2023, 3463, 1999, 1037, 3671, 4353, 1997, 10898, 1010, 1998, 1999, 2093, 9646, 2009, 3463, 1999, 1037, 10691, 4353, 1997, 10898, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 11387, 1033, 1032, 1033, 1012, 12767, 7365, 4839, 2090, 19630, 1006, 2030, 3442, 20396, 1007, 4367, 2012, 2028, 6034, 1998, 2829, 2937, 4367, 2012, 1996, 2060, 1012, 1999, 5688, 2000, 2829, 2937, 4367, 1010, 1996, 3357, 10742, 1997, 12767, 3945, 2545, 4906, 1037, 2373, 2375, 4353, 2007, 2087, 3357, 10742, 2108, 2235, 1010, 2021, 2007, 1037, 3082, 1011, 5725, 1010, 2008, 2003, 1010, 1037, 16922, 9723, 1997, 3469, 4084, 1998, 1037, 2512, 1011, 5717, 9723, 1997, 4084, 1997, 2151, 3091, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2475, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2509, 1033, 1032, 1033, 1012, 12767, 7365, 2031, 2042, 2109, 2000, 2944, 4111, 2929, 1010, 2005, 2742, 1010, 1999, 18255, 13181, 4757, 1010, 14405, 1010, 9706, 27511, 1998, 2529, 26912, 1010, 1998, 2062, 3728, 1010, 1056, 4442, 1999, 1996, 4167, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2475, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 17465, 1033, 1011, 1011, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 18827, 1033, 1032, 1033, 1012, 2119, 2829, 2937, 1998, 12767, 7365, 7868, 2008, 1996, 3257, 1997, 3945, 2012, 2169, 3357, 2003, 4567, 2013, 1037, 6375, 4353, 1998, 2003, 2981, 1997, 3025, 4084, 1006, 1045, 1012, 1041, 1012, 2003, 11163, 13181, 24330, 1998, 28003, 18073, 1007, 1012, 13675, 9333, 2006, 1996, 2060, 2192, 2224, 24670, 2367, 10595, 2000, 2944, 2714, 7060, 1997, 4367, 2008, 7166, 2000, 29486, 1999, 3257, 2058, 2051, 1012, 13675, 9333, 12530, 2006, 1996, 4353, 1997, 3810, 12113, 2090, 11165, 4084, 2877, 2000, 20396, 28297, 1012, 1999, 3945, 23364, 2011, 13675, 9333, 1010, 1996, 2783, 3257, 1997, 4367, 4013, 3676, 27965, 25084, 8092, 2925, 3357, 7826, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2509, 1033, 1032, 1033, 1012, 2006, 4659, 2460, 2051, 9539, 1010, 12767, 7365, 1998, 13675, 2860, 2089, 2022, 3697, 2000, 10782, 2144, 2027, 2119, 3965, 3565, 4305, 4246, 2271, 3512, 4367, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 17788, 1033, 1032, 1033, 1010, 2008, 2003, 1010, 13508, 2008, 7457, 5514, 2084, 1996, 2675, 7117, 1997, 2051, 1012, 4102, 2000, 4487, 4246, 2271, 3512, 2929, 1010, 3565, 4305, 4246, 14499, 7457, 3945, 1008, 6698, 1008, 1998, 17913, 3945, 1008, 16030, 2791, 1008, 1012, 2750, 1996, 2755, 2008, 2116, 3945, 9942, 2024, 2092, 1011, 7356, 1010, 2045, 2038, 2042, 2053, 11778, 4106, 1997, 1056, 3526, 4367, 1999, 1048, 3619, 1012, 1996, 3768, 1997, 15563, 1999, 17537, 2913, 2038, 2419, 2000, 1056, 3526, 9587, 18724, 2108, 23364, 2478, 2829, 2937, 4367, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 24096, 2620, 1033, 1032, 1033, 1010, 12767, 7365, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 18827, 1033, 1032, 1033, 1010, 1998, 23900, 6721, 7365, 1006, 13675, 2860, 1007, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 8889, 2620, 1033, 1010, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 23833, 1033, 1032, 1033, 1010, 2030, 1037, 5257, 1997, 2929, 7060, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 22907, 1033, 1032, 1033, 1012, 3728, 1010, 5671, 3802, 2632, 1012, 3662, 2008, 1996, 2929, 1997, 1056, 4442, 1999, 1008, 2000, 2595, 7361, 8523, 2863, 2175, 16089, 2072, 1008, 10372, 4167, 8153, 16142, 1037, 12767, 3328, 4525, 1999, 3565, 4305, 4246, 14499, 1998, 8114, 10788, 1997, 15053, 6844, 2319, 7889, 1032, 1031, 1031, 1030, 7473, 5638, 1012, 2531, 18139, 15136, 1012, 25416, 2692, 18827, 1033, 1032, 1033, 1012, 2009, 2003, 2025, 3154, 2065, 12767, 2929, 2038, 2025, 3130, 2042, 2179, 1999, 1048, 2078, 2138, 2107, 2929, 2515, 2025, 5258, 2045, 1010, 2030, 3432, 2138, 2009, 2018, 2025, 2042, 2246, 2005, 1012, 1996, 3768, 1997, 10480, 20155, 4824, 1997, 1056, 3526, 4367, 1999, 1048, 3619, 5260, 2000, 20316, 4275, 1998, 6537, 2256, 3754, 2000, 5646, 2129, 1056, 3526, 9587, 18724, 13531, 1996, 8122, 2007, 2029, 1056, 4442, 8087, 5887, 2015, 1012, 1999, 2023, 2817, 1010, 2057, 17908, 1056, 3526, 3945, 5248, 1999, 1048, 3619, 2478, 2048, 1011, 26383, 29105, 1012, 2057, 4088, 2256, 4106, 2007, 3151, 7778, 4725, 2008, 6235, 1996, 2310, 4135, 26243, 3111, 1010, 3357, 10742, 1010, 13508, 1010, 1998, 3810, 12113, 2579, 2011, 15743, 1056, 4442, 6575, 2005, 5887, 2015, 1012, 2057, 2059, 7949, 2122, 16478, 2000, 2062, 14125, 1998, 7721, 2135, 6235, 9587, 18724, 7060, 1010, 2164, 2478, 4555, 16593, 10035, 1006, 19875, 2063, 1007, 2000, 4906, 6388, 2951, 1012, 2256, 2817, 7778, 2135, 17908, 2015, 1056, 3526, 3945, 9942, 1999, 1048, 3619, 1010, 1998, 3594, 3674, 8122, 12046, 2015, 2008, 5468, 1996, 13589, 16030, 2791, 1998, 6698, 1997, 1056, 3526, 3945, 1012, 2057, 2059, 3495, 24110, 27351, 1996, 6691, 1997, 2367, 4127, 1997, 4367, 2000, 1996, 8122, 1997, 1056, 3526, 3945, 1012, 5678, 1010, 2011, 13599, 1056, 3526, 2929, 2000, 1996, 7060, 7013, 2011, 19701, 4275, 1997, 6721, 4367, 1010, 5875, 2512, 1011, 6721, 10266, 2090, 1056, 4442, 1998, 2037, 4044, 2468, 6835, 1010, 9104, 2008, 1056, 4442, 15581, 2929, 1999, 3433, 2000, 4483, 23391, 1012, 2256, 19701, 4275, 7487, 2980, 7516, 2008, 2024, 4716, 2062, 4703, 2084, 2064, 2022, 4541, 2011, 3382, 1012, 2256, 3463, 6592, 2008, 2130, 1037, 10480, 23191, 1997, 1056, 3526, 2929, 2241, 2006, 1996, 11213, 1997, 6721, 2929, 2515, 2025, 3929, 5425, 1996, 11619, 1997, 1056, 3526, 2929, 1999, 1996, 1048, 2078, 4044, 1012, 3463, 1063, 1001, 10819, 8889, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2929, 1997, 15743, 1056, 4442 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2011, 2085, 1010, 2017, 1521, 2310, 2657, 1996, 8489, 1010, 1996, 10768, 2099, 14550, 1010, 1998, 1996, 12842, 1997, 14699, 23160, 7249, 1012, 2021, 1996, 1044, 18863, 2005, 2023, 2028, 2428, 2003, 10849, 1012, 2452, 4974, 2003, 1037, 12047, 12586, 1997, 11247, 2579, 2013, 24528, 1010, 24665, 17190, 2271, 1010, 1998, 2130, 2070, 13164, 2158, 2005, 2204, 5468, 1012, 1998, 2096, 2116, 2399, 2031, 2589, 2061, 1010, 2452, 4974, 2003, 2028, 1997, 1996, 3924, 2008, 4832, 2041, 2013, 1996, 4306, 1012, 2065, 2017, 4033, 1521, 1056, 2525, 4149, 1010, 1998, 22817, 2023, 2208, 2000, 2115, 12202, 2028, 2030, 3274, 2017, 2428, 11276, 2000, 1012, 2021, 2065, 2017, 2342, 2062, 4751, 2077, 2725, 2061, 1010, 3191, 2006, 1012, 8213, 1024, 1996, 7284, 2006, 4653, 2097, 2130, 25933, 4371, 2115, 2307, 14472, 1012, 2452, 4974, 2003, 1996, 2765, 1997, 1037, 3232, 1997, 2152, 1011, 3891, 2202, 2869, 1012, 2996, 9108, 8093, 2318, 2041, 2007, 1037, 4432, 1024, 2019, 2895, 2208, 2008, 5621, 5683, 2066, 2652, 1037, 2397, 4479, 1521, 1055, 9476, 1012, 2220, 2006, 2027, 3603, 2008, 2437, 2008, 4432, 1037, 4507, 2001, 2183, 2000, 2022, 2521, 2062, 2051, 1011, 15077, 1010, 1998, 6450, 2084, 2761, 2245, 1012, 2027, 3092, 2039, 8046, 3436, 2037, 5841, 1010, 1998, 2128, 1011, 22294, 3654, 4726, 2037, 5014, 2074, 2000, 2022, 2583, 2000, 3288, 2023, 2516, 2000, 3006, 1012, 2026, 3246, 2003, 2008, 2023, 3891, 2038, 3825, 2125, 1012, 2138, 1996, 2736, 4031, 2003, 2498, 2460, 1997, 6429, 1012, 2452, 4974, 2200, 3497, 2038, 1996, 2190, 7284, 1997, 2151, 2678, 2208, 2412, 2081, 2947, 2521, 1012, 2996, 9108, 8093, 20398, 17904, 2135, 2081, 2296, 4281, 1999, 1996, 2208, 2011, 4717, 2063, 4169, 2009, 1012, 2296, 4853, 1997, 7284, 2001, 2192, 4567, 2006, 1037, 3526, 2077, 2108, 11728, 2046, 1037, 3274, 2000, 2022, 10710, 2098, 1010, 1998, 6910, 1012, 2004, 1037, 2765, 1996, 2208, 18058, 2006, 1996, 4563, 4872, 1997, 2559, 1010, 1998, 3110, 2066, 1037, 4479, 1521, 1055, 6579, 2460, 1012, 1996, 2839, 5617, 2024, 3052, 17904, 1012, 2035, 1997, 1996, 25812, 2015, 1997, 13528, 13941, 2024, 2182, 1012, 1996, 18756, 7391, 1010, 16903, 2929, 1010, 1998, 3492, 2172, 2673, 2017, 2064, 9131, 2013, 2214, 4831, 6672, 1010, 1998, 9306, 22017, 2361, 28172, 2024, 2182, 1012, 2996, 9108, 8093, 2130, 2253, 2004, 2521, 2004, 14763, 2019, 5025, 2502, 2316, 4166, 7241, 2000, 4339, 1010, 1998, 4685, 1996, 3556, 2005, 2452, 4974, 1012, 2061, 2025, 2069, 2515, 2009, 2298, 2066, 2019, 3770, 1011, 2095, 1011, 2214, 9476, 1010, 2009, 2036, 4165, 2066, 2019, 3770, 1011, 2095, 1011, 2214, 9476, 1012, 2074, 3773, 1996, 2208, 1999, 2895, 2894, 2052, 2022, 4276, 1996, 3976, 1997, 9634, 1012, 2045, 2003, 2107, 1037, 7177, 1997, 5848, 2006, 4653, 2083, 1996, 2972, 2208, 2008, 2009, 1521, 1055, 9826, 2242, 2008, 2038, 2000, 2022, 5281, 1012, 1999, 1996, 8391, 1997, 5746, 1010, 1998, 5107, 6322, 2452, 4974, 2003, 3053, 1999, 1037, 2465, 2035, 2011, 2993, 1012, 2021, 2054, 2055, 1996, 2208, 2377, 1029, 2092, 1010, 2009, 1521, 1055, 1037, 7199, 5024, 1010, 1998, 22249, 3325, 1012, 1996, 2208, 4627, 2041, 2007, 1037, 2200, 12266, 14924, 4818, 1010, 1998, 1037, 4438, 2466, 2338, 4955, 1012, 2452, 4974, 1010, 1998, 2010, 2567, 14757, 2386, 2175, 2114, 2037, 6697, 1521, 1055, 8996, 2043, 2027, 3942, 1037, 9270, 1012, 6854, 1010, 1996, 9270, 2003, 3079, 2011, 1996, 6548, 1010, 1998, 2002, 19838, 2015, 1996, 2208, 2012, 1996, 10231, 2015, 2795, 2000, 4366, 1996, 9293, 1997, 2256, 7348, 1012, 2021, 2027, 25803, 2005, 2037, 3268, 2061, 2002, 4136, 2068, 2002, 1521, 2222, 9641, 2037, 7016, 2065, 2027, 2175, 2131, 1996, 3969, 8311, 1997, 1996, 2500, 1999, 1996, 2237, 1012, 2061, 2008, 1521, 1055, 1996, 2275, 2039, 2005, 2074, 2339, 2452, 4974, 1010, 1998, 14757, 2386, 2024, 2125, 2006, 2037, 6172, 1012, 1996, 2208, 3182, 2017, 2006, 2019, 8964, 3193, 1997, 1037, 4949, 1010, 2073, 2017, 2693, 1996, 3494, 2105, 1010, 1998, 5454, 1037, 2754, 1010, 2030, 2831, 2000, 2019, 27937, 2278, 1012, 2045, 2024, 2093, 7341, 1010, 1998, 2017, 1521, 2222, 2342, 2000, 3143, 2296, 2754, 2000, 2693, 3031, 1996, 2279, 2028, 1012, 2169, 4949, 2036, 2038, 1037, 4497, 1999, 2009, 2073, 2017, 2064, 2224, 7824, 2000, 12200, 2115, 7590, 1012, 2045, 2024, 2093, 2364, 4127, 1997, 2754, 2006, 4653, 2182, 1012, 2017, 1521, 2222, 2031, 2448, 1050, 1521, 3282, 5711, 1012, 2122, 2377, 2066, 2017, 1521, 1040, 5987, 1010, 2635, 14822, 2013, 2399, 2066, 24528, 1010, 1998, 3384, 23667, 1012, 2061, 2017, 1521, 2222, 2031, 2000, 2543, 2073, 2017, 1521, 2128, 2183, 1012, 2017, 2064, 1521, 1056, 5607, 11043, 2096, 3048, 2830, 1012, 1996, 2208, 2377, 2003, 2025, 1037, 5519, 6293, 2806, 1010, 2738, 1037, 2062, 3151, 2028, 1012, 1999, 2122, 5711, 2017, 1521, 2222, 2424, 1996, 17289, 7824, 1012, 2061, 2017, 1521, 2222, 5121, 2342, 2000, 2377, 2122, 2065, 2017, 2215, 2151, 3246, 1997, 23176, 2075, 2039, 2115, 2839, 1012, 2070, 1997, 1996, 5167, 1999, 1996, 7340, 2097, 2507, 2017, 1037, 2047, 2806, 1997, 5195, 1010, 2030, 4469, 4978, 2006, 2115, 2740, 8316, 1012, 2021, 2151, 8875, 2017, 5454, 2097, 2031, 1037, 2217, 3466, 2000, 5703, 2477, 2041, 1012, 2005, 6013, 1010, 9343, 4469, 2740, 3310, 2012, 1996, 3465, 1997, 22031, 2115, 4491, 3621, 1012, 2021, 2045, 2024, 1037, 2898, 3528, 1997, 2477, 2000, 4638, 2041, 2182, 1012, 2061, 2017, 2064, 19948, 2041, 5167, 2005, 2500, 2044, 2017, 1521, 2310, 3825, 2005, 2068, 1010, 1998, 2156, 2054, 7170, 2041, 2573, 2190, 2005, 2017, 1012, 2045, 2024, 14021, 12274, 2361, 3798, 2205, 1010, 2122, 3227, 2377, 2066, 1996, 2353, 2828, 1997, 2754, 1045, 1521, 2222, 2131, 2000, 1999, 1037, 2617, 1012, 1996, 4489, 2108, 2182, 1010, 2017, 1521, 2222, 2022, 4405, 2075, 1037, 4946, 1010, 1998, 3554, 1037, 4800, 12172, 3064, 2645, 2114, 1037, 5795, 2839, 1012, 2007, 1996, 14021, 12274, 2361, 9760, 2182, 1010, 1996, 2208, 5683, 1037, 2843, 2062, 2066, 1996, 13432, 5312, 1999, 2214, 9876, 28310, 2066, 8505, 2486, 3523, 1010, 1054, 1011, 2828, 1010, 24665, 17190, 2271, 1010, 2030, 2166, 2486, 2738, 2084, 1996, 2062, 3824, 7960, 3109, 13108, 1012, 2074, 2138, 2045, 4995, 1521, 1056, 1062, 8591, 8496, 1997, 2477, 2000, 4468, 2987, 1521, 1056, 2812, 2045, 3475, 1521, 1056, 2505, 2000, 4468, 1012, 2122, 11340, 5466, 7564, 2438, 2012, 2017, 1010, 1998, 2017, 1521, 2222, 2031, 2000, 24443, 25709, 2886, 7060, 2000, 5788, 1012, 2017, 2064, 2036, 22802, 2115, 4946, 2061, 2065, 2017, 2131, 2046, 1037, 3663, 2017, 2123, 1521, 1056, 2228, 2003, 4468, 3085, 1010, 2009, 2089, 2074, 2022, 2115, 9078, 1999, 1996, 4920, 1012, 2633, 1010, 2045, 2024, 1996, 5795, 5711, 1012, 1999, 2122, 2017, 1521, 2222, 2224, 1996, 2448, 1050, 1521, 3282, 9760, 1999, 1037, 4800, 12172, 3064, 2645, 2114, 1037, 5795, 2839, 1012, 2122, 9590, 2514, 3553, 2000, 1996, 4438, 24524, 13164, 2158, 5795, 9590, 1012, 2084, 1996, 3924, 1999, 1996, 2214, 2448, 1050, 1521, 4409, 1012, 2028, 5795, 1999, 3327, 2097, 2507, 2017, 5758, 1997, 4040, 2075, 2852, 1012, 19863, 2100, 1521, 1055, 3317, 1999, 13164, 2158, 2462, 1012, 2035, 1997, 2122, 23029, 2174, 2097, 5478, 2017, 2000, 4553, 7060, 1010, 1998, 6739, 10984, 2000, 2131, 2083, 2068, 1999, 2028, 3538, 1012, 2144, 2087, 1997, 1996, 5711, 1999, 1996, 2208, 2024, 5795, 5711, 2017, 2064, 5987, 2000, 4558, 2116, 1010, 2116, 2335, 2043, 2017, 2034, 3535, 2068, 1012, 2045, 2024, 2036, 1037, 3232, 1997, 2217, 7860, 2073, 2017, 1521, 2222, 2489, 11277, 2011, 20803, 2075, 2060, 11277, 1012, 2017, 2323, 9826, 2079, 2122, 2138, 1996, 20803, 2003, 1037, 15893, 2452, 4974, 3594, 2000, 12486, 2039, 2115, 3565, 8316, 1012, 2043, 2017, 6039, 2039, 1996, 8316, 2017, 2064, 2079, 1037, 2200, 14886, 2886, 2029, 2003, 2926, 18801, 1999, 5795, 7465, 1012, 2505, 6910, 5061, 1999, 1996, 2208, 2064, 2022, 11968, 11998, 1010, 1998, 2122, 7860, 2024, 1996, 3819, 2126, 2000, 3040, 2023, 15893, 1012, 2087, 1997, 1996, 5711, 1999, 1996, 2208, 2031, 2019, 3733, 5549, 1999, 2804, 2000, 1037, 3180, 7823, 2004, 10063, 5549, 1012, 2017, 1521, 2222, 2342, 2000, 3786, 1996, 6211, 7669, 2006, 23029, 2000, 2131, 1996, 8311, 1010, 2734, 2000, 3926, 1996, 2466, 1012, 2021, 2652, 1996, 5711, 2006, 3733, 2097, 2292, 2017, 5082, 1010, 1998, 2156, 2054, 2925, 5711, 2031, 2000, 3749, 1012, 2017, 2064, 2036, 2175, 2067, 2000, 2151, 2754, 2017, 3786, 3130, 2000, 15712, 2009, 1012, 2452, 4974, 5791, 2038, 1037, 2152, 2504, 1997, 4119, 1012, 2021, 1996, 4119, 2003, 3227, 2200, 4189, 1012, 2017, 1521, 2222, 3280, 5606, 1997, 2335, 2058, 1012, 2021, 2588, 2115, 4654, 10814, 6024, 14887, 3279, 2017, 1521, 2222, 3305, 2008, 2115, 2197, 2331, 2001, 2115, 2219, 6346, 1012, 2017, 5598, 2043, 2017, 3214, 2000, 5607, 1012, 2030, 2017, 2134, 1521, 1056, 2933, 2005, 1037, 3048, 4132, 7919, 1012, 2030, 2017, 4694, 1521, 1056, 5776, 2438, 1012, 2030, 2017, 16035, 1010, 1998, 2939, 2046, 2008, 25921, 1012, 2452, 4974, 3475, 1521, 1056, 5263, 2295, 1012, 2216, 2040, 7078, 2293, 2214, 4132, 2545, 1010, 14021, 12274, 4523, 1010, 1998, 4438, 2895, 2399, 2013, 1996, 2420, 1997, 18978, 1010, 16562, 1010, 10022, 1010, 1998, 12957, 7248, 2097, 3497, 4060, 2477, 2039, 1037, 2978, 5514, 1012, 2021, 2008, 2987, 1521, 1056, 2812, 2619, 10947, 2000, 2023, 2828, 1997, 3325, 3685, 2566, 3366, 28943, 1012, 2009, 1521, 1055, 1996, 2785, 1997, 2208, 2008, 5942, 11752, 1010, 1998, 3218, 2000, 24970, 1999, 1012, 2005, 2070, 2867, 2009, 2089, 2202, 2062, 2051, 1010, 1998, 11752, 2084, 2500, 1012, 2021, 2673, 1999, 1996, 2208, 2003, 2061, 14408, 17441, 2009, 1521, 1055, 4276, 9361, 2041, 1012, 2045, 2024, 1037, 3232, 1997, 2200, 3576, 3314, 1045, 2031, 2007, 1996, 2208, 2295, 1012, 1996, 2087, 8598, 2075, 2024, 1037, 2261, 4678, 12883, 1012, 4914, 2135, 2122, 2024, 4678, 1010, 1998, 1999, 2051, 2027, 1521, 2222, 2763, 2022, 4964, 1012, 2021, 2027, 1521, 2128, 2145, 1037, 16371, 28138, 2043, 2027, 4148, 1012, 2028, 1997, 2068, 2097, 1043, 15909, 2818, 1037, 2659, 1011, 2504, 6716, 1521, 2740, 2000, 1037, 2391, 2009, 3138, 2053, 4053, 1012, 2043, 2023, 6433, 2017, 2064, 3046, 2000, 2074, 13558, 2627, 2009, 1012, 2021, 2008, 2453, 2812, 2017, 2202, 4053, 1999, 1996, 2832, 1010, 1998, 17727, 14728, 2115, 3754, 2000, 3154, 1996, 2504, 1012, 22371, 1996, 2754, 1010, 1998, 2128, 1011, 5738, 2009, 2788, 8081, 2229, 2009, 1999, 1996, 9455, 1010, 2021, 2008, 2003, 2036, 1037, 16371, 28138, 1012, 1996, 2060, 11829, 1045, 1521, 2310, 2448, 2046, 2003, 2019, 1999, 10288, 24759, 5555, 3468, 2836, 2718, 1010, 2073, 1996, 2208, 2097, 3402, 4530, 11048, 1010, 1998, 2448, 9951, 2135, 24494, 7685, 2005, 2105, 3438, 3823, 2077, 2183, 2067, 2000, 3671, 1012, 2009, 1521, 1055, 2926, 15703, 1999, 5795, 9590, 1012, 5494, 1996, 2208, 1010, 1998, 2128, 1011, 3225, 1996, 4646, 2153, 1010, 8081, 2229, 2009, 1999, 1996, 9455, 1012, 2021, 2009, 2064, 2022, 3492, 15703, 1012, 1045, 2036, 4299, 2045, 2071, 2031, 2042, 1037, 2261, 2062, 2895, 5711, 2058, 5795, 5481, 5711, 2000, 5587, 2000, 1996, 3528, 1012, 6600, 1010, 1045, 2064, 2878, 27693, 2135, 16755, 2452, 4974, 2000, 2074, 2055, 10334, 2040, 2003, 2130, 19512, 4699, 1999, 2009, 1012, 1996, 7284, 1010, 1998, 6050, 2894, 2024, 4276, 1996, 3976, 1997, 9634, 1012, 2130, 2005, 2035, 1997, 1996, 10821, 2070, 2089, 2031, 2007, 1996, 2504, 1997, 4119, 1010, 1996, 3325, 4089, 15849, 16102, 15568, 2008, 1012, 2023, 2003, 1037, 2208, 2008, 2003, 1037, 4687, 2000, 27541, 1012, 1998, 2096, 2214, 1011, 2082, 10877, 4119, 2089, 2025, 2022, 2115, 2452, 4974, 1997, 5572, 1010, 1006, 1045, 2113, 1010, 2008, 1521, 1055, 1037, 6659, 8257, 1012, 1007, 2452, 4974, 2003, 2145, 2028, 1997, 1996, 2087, 14036, 6322, 2017, 1521, 2222, 3497, 2031, 2023, 2095, 1012, 2065, 2017, 2128, 13602, 1037, 4119, 1010, 1998, 2293, 4438, 13941, 2017, 2323, 4965, 2023, 2005, 2115, 3274, 2030, 12202, 2028, 2065, 2017, 4033, 1521, 1056, 2525, 1012, 2017, 2089, 2215, 2000, 2298, 2046, 2023, 2208, 2130, 2065, 2017, 5373, 2123, 1521, 1056, 2729, 2005, 2023, 4066, 1997, 13258, 1012, 1996, 3815, 1997, 5848, 1010, 1998, 12276, 2006, 4653, 2003, 2498, 2460, 1997, 14408, 17441, 1012, 2182, 1521, 1055, 5327, 2452, 4974, 2001, 1037, 3144, 2438, 23855, 2005, 1037, 3582, 1011, 2039, 1010, 2030, 2178, 2208, 2478, 1996, 2168, 6919, 3324, 1010, 1998, 25132, 2015, 1012, 1045, 2113, 1045, 1521, 2310, 5567, 2870, 1037, 2843, 1999, 2023, 3319, 1010, 1998, 1045, 2763, 2614, 1037, 2978, 21707, 1012, 2021, 2663, 2030, 4558, 1010, 2452, 4974, 2003, 2028, 3325, 2017, 2074, 2089, 2215, 2000, 4897, 1996, 18740, 2006, 1012, 1006 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5107, 6026, 3247, 3628, 2007, 18750, 1006, 16596, 23615, 1011, 4553, 1010, 10629, 5737, 2480, 1010, 13523, 24759, 4140, 29521, 1007, 4553, 2055, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 13523, 24759, 4140, 29521, 1998, 10629, 5737, 2480, 3746, 2013, 2026, 4824, 3247, 3628, 2005, 5579, 1006, 18750, 1007, 14924, 4818, 1012, 3247, 3628, 2024, 1037, 2759, 13588, 4083, 4118, 2005, 1037, 3528, 1997, 4436, 1012, 6666, 1997, 3247, 3628, 2421, 2008, 2027, 2064, 2022, 2109, 2005, 2119, 26237, 1998, 5579, 1010, 2027, 2123, 1521, 1056, 5478, 3444, 25169, 1010, 1998, 2027, 2024, 4659, 3733, 2000, 17841, 2004, 2017, 2064, 5107, 4697, 3247, 3628, 1012, 2023, 2003, 2025, 2069, 1037, 3928, 2126, 2000, 3305, 2115, 2944, 1010, 2021, 2036, 2000, 10639, 2129, 2115, 2944, 2573, 1012, 8821, 1010, 2009, 2052, 2393, 2000, 2113, 2129, 2000, 2191, 1037, 5107, 3989, 2241, 2006, 2115, 2944, 1012, 2023, 14924, 4818, 4472, 1024, 2129, 2000, 4906, 1037, 3247, 3392, 2944, 2478, 16596, 23615, 1011, 4553, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 13523, 24759, 4140, 29521, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 10629, 5737, 2480, 1006, 2054, 2003, 10629, 5737, 2480, 1010, 2129, 2000, 16500, 2009, 2006, 6097, 1998, 3645, 1010, 1998, 2129, 2000, 2224, 2009, 2000, 5107, 4697, 3247, 3628, 1007, 2129, 2000, 5107, 4697, 3265, 3247, 3628, 2013, 4524, 5999, 3628, 2030, 6721, 6138, 2004, 2467, 1010, 1996, 3642, 2109, 1999, 2023, 14924, 4818, 2003, 2800, 2006, 2026, 21025, 2705, 12083, 1012, 2007, 2008, 1010, 2292, 1521, 1055, 2131, 2318, 999, 2129, 2000, 4906, 1037, 3247, 3392, 2944, 2478, 16596, 23615, 1011, 4553, 1999, 2344, 2000, 5107, 4697, 3247, 3628, 1010, 2057, 2342, 2034, 2342, 2000, 4906, 1037, 3247, 3392, 2944, 2478, 16596, 23615, 1011, 4553, 1012, 2065, 2023, 2930, 2003, 2025, 3154, 1010, 1045, 8627, 2017, 2000, 3191, 2026, 4824, 3247, 3628, 2005, 5579, 1006, 18750, 1007, 14924, 4818, 2004, 1045, 2175, 2046, 1037, 2843, 1997, 6987, 2006, 2129, 3247, 3628, 2147, 1998, 2129, 2000, 2224, 2068, 1012, 12324, 8860, 1996, 2206, 12324, 8635, 2024, 2054, 2057, 2097, 2224, 2005, 2023, 2930, 1997, 1996, 14924, 4818, 1012, 12324, 13523, 24759, 4140, 29521, 1012, 1052, 22571, 10994, 2004, 20228, 2102, 2013, 15315, 19738, 6826, 1012, 2951, 13462, 2015, 12324, 7170, 1035, 11173, 2013, 15315, 19738, 6826, 1012, 2951, 13462, 2015, 12324, 7170, 1035, 7388, 1035, 4456, 2013, 15315, 19738, 6826, 1012, 3392, 12324, 3247, 13334, 26266, 18095, 2013, 15315, 19738, 6826, 1012, 7241, 12324, 6721, 29278, 4355, 26266, 18095, 2013, 15315, 19738, 6826, 1012, 2944, 1035, 4989, 12324, 3345, 1035, 3231, 1035, 3975, 12324, 25462, 2015, 2004, 22851, 12324, 16371, 8737, 2100, 2004, 27937, 2013, 15315, 19738, 6826, 12324, 3392, 7170, 1996, 2951, 13462, 1996, 11173, 2951, 13462, 2003, 2028, 1997, 2951, 13462, 2015, 16596, 23615, 1011, 4553, 3310, 2007, 2008, 2079, 2025, 5478, 1996, 8816, 2075, 1997, 2151, 5371, 2013, 2070, 6327, 4037, 1012, 1996, 3642, 2917, 15665, 1996, 11173, 2951, 13462, 1012, 12324, 25462, 2015, 2004, 22851, 2013, 15315, 19738, 6826, 1012, 2951, 13462, 2015, 12324, 7170, 1035, 11173, 2850, 2696, 1027, 7170, 1035, 11173, 1006, 1007, 1040, 2546, 1027, 22851, 1012, 2951, 15643, 1006, 2951, 1012, 2951, 1010, 7753, 1027, 2951, 1012, 3444, 1035, 3415, 1007, 1040, 2546, 1031, 1005, 4539, 1005, 1033, 1027, 2951, 1012, 4539, 2434, 25462, 2015, 1040, 2546, 1006, 2838, 1009, 4539, 1007, 14541, 2951, 2046, 2731, 1998, 3231, 4520, 1996, 3642, 2917, 8509, 4293, 1003, 1997, 1996, 2951, 2046, 1037, 2731, 2275, 1998, 2423, 1003, 1997, 1996, 2951, 2046, 1037, 3231, 2275, 1012, 1060, 1035, 3345, 1010, 1060, 1035, 3231, 1010, 1061, 1035, 3345, 1010, 1061, 1035, 3231, 1027, 3345, 1035, 3231, 1035, 3975, 1006, 1040, 2546, 1031, 2951, 1012, 3444, 1035, 3415, 1033, 1010, 1040, 2546, 1031, 1005, 4539, 1005, 1033, 1010, 6721, 1035, 2110, 1027, 1014, 1007, 1996, 6087, 1999, 1996, 3746, 5769, 2029, 8023, 1006, 1060, 1035, 3345, 1010, 1060, 1035, 3231, 1010, 1061, 1035, 3345, 1010, 1061, 1035, 3231, 1007, 1996, 2951, 2013, 1996, 2951, 15643, 1040, 2546, 2253, 2000, 2005, 1037, 3327, 3345, 3231, 3975, 1012, 3746, 2011, 2745, 16122, 6826, 15922, 1012, 16596, 23615, 1011, 4553, 1018, 1011, 3357, 11643, 5418, 1001, 3357, 1015, 1024, 12324, 1996, 2944, 2017, 2215, 2000, 2224, 1001, 2023, 2001, 2525, 10964, 3041, 1999, 1996, 14960, 2061, 15591, 2041, 1001, 2013, 15315, 19738, 6826, 1012, 3392, 12324, 3247, 13334, 26266, 18095, 1001, 3357, 1016, 1024, 2191, 2019, 6013, 1997, 1996, 2944, 18856, 2546, 1027, 3247, 13334, 26266, 18095, 1006, 4098, 1035, 5995, 1027, 1016, 1010, 6721, 1035, 2110, 1027, 1014, 1007, 1001, 3357, 1017, 1024, 3345, 1996, 2944, 2006, 1996, 2951, 18856, 2546, 1012, 4906, 1006, 1060, 1035, 3345, 1010, 1061, 1035, 3345, 1007, 1001, 3357, 1018, 1024, 16014, 10873, 1997, 16100, 1006, 3231, 1007, 2951, 1001, 2025, 2725, 2023, 3357, 1999, 1996, 14924, 4818, 1001, 18856, 2546, 1012, 16014, 1006, 1060, 1035, 3231, 1007, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 13523, 24759, 4140, 29521, 2004, 1997, 16596, 23615, 1011, 4553, 2544, 2538, 1012, 1014, 1006, 5560, 2089, 10476, 1007, 1010, 3247, 3628, 2064, 2085, 2022, 27347, 2007, 13523, 24759, 4140, 29521, 2478, 16596, 23615, 1011, 4553, 1521, 1055, 3392, 1012, 5436, 1035, 3392, 2302, 18345, 2006, 1996, 11089, 3075, 2029, 2003, 1037, 2524, 1011, 2000, 1011, 16500, 24394, 2029, 2057, 2097, 3104, 2101, 2006, 1999, 1996, 9927, 2695, 1012, 1996, 3642, 2917, 14811, 1037, 3247, 3392, 2478, 16596, 23615, 1011, 4553, 1012, 3392, 1012, 5436, 1035, 3392, 1006, 18856, 2546, 1007, 1025, 2023, 2003, 2025, 1996, 2087, 17841, 3085, 3392, 2664, 1012, 1999, 2804, 2000, 5815, 1996, 3642, 2000, 3499, 2017, 2000, 3828, 2115, 3746, 1010, 1996, 3642, 2917, 5363, 2000, 2191, 1996, 3247, 3392, 2062, 17841, 3085, 2011, 5815, 1999, 3444, 1998, 2465, 3415, 1006, 2004, 2092, 2004, 4292, 3561, 1027, 2995, 1007, 1012, 1042, 2078, 1027, 1031, 1005, 19802, 2389, 3091, 1006, 4642, 1007, 1005, 1010, 1005, 19802, 2389, 9381, 1006, 4642, 1007, 1005, 1010, 1005, 9004, 2389, 3091, 1006, 4642, 1007, 1005, 1010, 1005, 9004, 2389, 9381, 1006, 4642, 1007, 1005, 1033, 27166, 1027, 1031, 1005, 2275, 8820, 1005, 1010, 1005, 2310, 2869, 11261, 10626, 1005, 1010, 1005, 6261, 5555, 1005, 1033, 20965, 1010, 19589, 1027, 20228, 2102, 1012, 4942, 24759, 12868, 1006, 17212, 15568, 1027, 1015, 1010, 13316, 27896, 1027, 1015, 1010, 20965, 5332, 4371, 1027, 1006, 1018, 1010, 1018, 1007, 1010, 1040, 8197, 1027, 3998, 1007, 3392, 1012, 5436, 1035, 3392, 1006, 18856, 2546, 1010, 3444, 1035, 3415, 1027, 1042, 2078, 1010, 2465, 1035, 3415, 1027, 27166, 1010, 3561, 1027, 2995, 1007, 1025, 20965, 1012, 3828, 8873, 2290, 1006, 1005, 3746, 18442, 1012, 1052, 3070, 1005, 1007, 2129, 2000, 5107, 4697, 3247, 3628, 2478, 10629, 5737, 2480, 3247, 3392, 2550, 2083, 10629, 5737, 2480, 1012, 3602, 2008, 1045, 5493, 1996, 5371, 2000, 2031, 3793, 6087, 17254, 2000, 3251, 2027, 2024, 7053, 1013, 5536, 14164, 2030, 3247, 14164, 2478, 1037, 3793, 3559, 1012, 10629, 5737, 2480, 2003, 2330, 3120, 10629, 5107, 3989, 4007, 1012, 10629, 5107, 3989, 2003, 1037, 2126, 1997, 5052, 8332, 2592, 2004, 26309, 1997, 10061, 19287, 1998, 6125, 1012, 1999, 2951, 2671, 1010, 2028, 2224, 1997, 10629, 5737, 2480, 2003, 2000, 5107, 4697, 3247, 3628, 1012, 1045, 2323, 3602, 2008, 1996, 3114, 2339, 1045, 2572, 2183, 2058, 10629, 5737, 2480, 2044, 5266, 13523, 24759, 4140, 29521, 2003, 2008, 2893, 2023, 2000, 2147, 2064, 2022, 3697, 1012, 1996, 2034, 2112, 1997, 2023, 2832, 7336, 4526, 1037, 11089, 5371, 1012, 1037, 11089, 5371, 2003, 1037, 10629, 5737, 2480, 6630, 1997, 1037, 3247, 3392, 1012, 1996, 3291, 2003, 2008, 2478, 10629, 5737, 2480, 2000, 10463, 1996, 11089, 5371, 2046, 2019, 3746, 5371, 1006, 1052, 3070, 1010, 16545, 2290, 1010, 4385, 1007, 2064, 2022, 3697, 1012, 2045, 2024, 1037, 3232, 3971, 2000, 2079, 2023, 2164, 1024, 23658, 18750, 1011, 10629, 5737, 2480, 2295, 9617, 8663, 2850, 1010, 23658, 10629, 5737, 2480, 2083, 2188, 13578, 2860, 1006, 6097, 1007, 1010, 23658, 10629, 5737, 2480, 4654, 8586, 23056, 2015, 2013, 1996, 2880, 2609, 1006, 3645, 1007, 1010, 1998, 2478, 2019, 3784, 10463, 2121, 2006, 1996, 8417, 1997, 2115, 11089, 5371, 2000, 10463, 2009, 2046, 2019, 3746, 1012, 4526, 1996, 11089, 5371, 2003, 2788, 2025, 1037, 3291, 1012, 16401, 1996, 11089, 5371, 2000, 1037, 1052, 3070, 5371, 2064, 2022, 3697, 1012, 9167, 2115, 2944, 2000, 1037, 11089, 5371, 1996, 3642, 2917, 3642, 2097, 2147, 2006, 2151, 4082, 2291, 2004, 18750, 19421, 1996, 11089, 5371, 1998, 14338, 2009, 2004, 1037, 5371, 2315, 3392, 1012, 11089, 1012, 3392, 1012, 9167, 1035, 10629, 5737, 2480, 1006, 18856, 2546, 1010, 2041, 1035, 5371, 1027, 1000, 3392, 1012, 11089, 1000, 1010, 3444, 1035, 3415, 1027, 1042, 2078, 1010, 2465, 1035, 3415, 1027, 27166, 1010, 3561, 1027, 2995, 1007, 23658, 1998, 2478, 10629, 5737, 2480, 16401, 1996, 11089, 5371, 2046, 2019, 3746, 5371, 1006, 1052, 3070, 1010, 16545, 2290, 1010, 4385, 1007, 4050, 5942, 1996, 8272, 1997, 10629, 5737, 2480, 2029, 9041, 2006, 2115, 4082, 2291, 1998, 1037, 3677, 1997, 2060, 2477, 1012, 1996, 3125, 1997, 2023, 2930, 2003, 2000, 2393, 2111, 3046, 1998, 9611, 1996, 2691, 3277, 1997, 2893, 1996, 2206, 7561, 1012, 11089, 1024, 3094, 2025, 2179, 1012, 11089, 1024, 3094, 2025, 2179, 2129, 2000, 16500, 1998, 2224, 2006, 6097, 2083, 9617, 8663, 2850, 2000, 2022, 2583, 2000, 16500, 10629, 5737, 2480, 2006, 2115, 6097, 2083, 2023, 4118, 1010, 2017, 2034, 2342, 2000, 2031, 9617, 8663, 2850, 5361, 1006, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 5361, 1010, 2017, 2064, 4553, 2129, 2000, 16500, 2009, 2182, 1007, 1012, 2330, 1037, 5536, 1012, 2017, 2064, 2079, 2023, 2011, 22042, 2006, 1996, 17763, 23848, 3490, 14116, 3221, 2012, 1996, 2327, 2157, 1997, 1996, 3898, 1010, 2828, 5536, 1998, 2059, 11562, 2006, 1996, 5536, 12696, 1012, 2828, 1996, 3094, 2917, 2000, 16500, 10629, 5737, 2480, 1012, 9530, 2850, 16500, 18750, 1011, 10629, 5737, 2480, 2044, 2008, 1010, 2017, 2323, 2022, 2583, 2000, 2224, 1996, 11089, 3094, 2917, 2000, 10463, 1996, 11089, 5371, 2046, 1037, 1052, 3070, 5371, 1012, 11089, 1011, 1056, 2361, 3070, 3392, 1012, 11089, 1011, 1051, 3392, 1012, 1052, 3070, 2129, 2000, 16500, 1998, 2224, 2006, 6097, 2083, 2188, 13578, 2860, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 2030, 2074, 2215, 2178, 2126, 1997, 23658, 10629, 5737, 2480, 2006, 2115, 6097, 1010, 2017, 2064, 2224, 2188, 13578, 2860, 1012, 1045, 3130, 2626, 2019, 3720, 2006, 2129, 2000, 16500, 2188, 13578, 2860, 1998, 2224, 2009, 2000, 10463, 1037, 11089, 5371, 2046, 2019, 3746, 5371, 2182, 1006, 2156, 1996, 2188, 13578, 2860, 2000, 2393, 5107, 4697, 3247, 3628, 2930, 1997, 1996, 14924, 4818, 1007, 1012, 2129, 2000, 16500, 1998, 2224, 2006, 3645, 2083, 9617, 8663, 2850, 2023, 2003, 1996, 4118, 1045, 9544, 2006, 3645, 1012, 2000, 2022, 2583, 2000, 16500, 10629, 5737, 2480, 2006, 2115, 3645, 2083, 2023, 4118, 1010, 2017, 2034, 2342, 2000, 2031, 9617, 8663, 2850, 5361, 1006, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 5361, 1010, 2017, 2064, 4553, 2129, 2000, 16500, 2009, 2182, 1007, 1012, 2330, 1037, 5536, 1013, 3094, 25732, 1998, 4607, 1996, 3094, 2917, 2000, 16500, 10629, 5737, 2480, 1012, 9530, 2850, 16500, 18750, 1011, 10629, 5737, 2480, 2044, 2008, 1010, 2017, 2323, 2022, 2583, 2000, 2224, 1996, 11089, 3094, 2917, 2000, 10463, 1996, 11089, 5371, 2046, 1037, 1052, 3070, 5371, 1012, 11089, 1011, 1056, 2361, 3070, 3392, 1012, 11089, 1011, 1051, 3392, 1012, 1052, 3070, 3645, 23658, 1997, 10629, 5737, 2480, 2083, 9530, 2850, 1012, 2023, 2323, 8081, 1996, 1520, 11089, 1521, 2003, 2025, 3858, 2004, 2019, 4722, 2030, 6327, 3094, 1010, 3850, 3468, 2565, 2030, 14108, 5371, 3277, 1012, 2129, 2000, 16500, 1998, 2224, 2006, 3645, 2083, 10629, 5737, 2480, 4654, 8586, 23056, 2065, 2017, 2123, 1521, 1056, 2031, 9617, 8663, 2850, 2030, 2074, 2215, 2178, 2126, 1997, 23658, 10629, 5737, 2480, 2006, 2115, 3645, 1010, 2017, 2064, 2224, 1996, 2206, 4957, 2000, 8816, 1998, 16500, 2009, 1012, 2065, 2017, 4995, 1521, 1056, 5220, 2007, 22552, 1996, 4130, 8023, 1998, 2215, 2000, 2224, 11089, 2006, 1996, 3094, 2240, 1010, 1045, 8627, 2060, 8107, 1012, 2045, 2024, 2116, 9991, 7840, 12314, 3980, 2241, 2006, 2023, 3327, 3277, 1012, 2129, 2000, 2224, 2019, 3784, 10463, 2121, 2000, 5107, 4697, 2115, 3247, 3628, 2065, 2035, 2842, 11896, 2030, 2017, 3432, 2123, 1521, 1056, 2215, 2000, 16500, 2505, 1010, 2017, 2064, 2224, 2019, 3784, 10463, 2121, 1012, 1999, 1996, 3746, 2917, 1010, 1045, 2441, 1996, 5371, 2007, 28341, 3793, 1006, 2295, 2045, 2024, 2116 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2268, 1050, 2094, 16459, 18906, 7583, 1037, 1012, 14093, 1010, 1049, 1012, 1040, 1012, 1010, 20579, 1998, 10439, 24178, 1058, 1012, 2110, 1997, 2167, 7734, 1010, 1040, 1013, 1038, 1013, 1037, 2118, 1997, 2167, 7734, 1010, 1998, 2852, 1012, 2585, 1046, 1012, 1996, 25538, 1010, 14258, 1010, 16362, 1998, 10439, 14774, 2229, 2053, 1012, 2263, 2692, 17788, 2549, 1012, 4259, 2457, 1997, 2167, 7734, 1012, 6406, 2251, 2756, 1010, 2268, 1012, 2703, 2888, 2026, 2121, 17231, 1006, 5275, 1007, 1998, 5215, 6108, 8945, 14515, 2078, 1006, 2596, 1007, 1010, 1052, 1012, 1051, 1012, 3482, 5585, 2629, 1010, 22029, 1010, 1050, 1012, 1040, 1012, 5388, 12376, 2475, 1011, 5641, 2683, 2629, 1010, 2005, 20579, 1998, 10439, 24178, 1012, 6415, 3017, 5143, 1006, 5275, 1007, 1010, 2569, 3353, 4905, 2236, 1010, 3891, 2968, 2407, 1010, 14883, 2264, 2301, 3927, 1010, 7621, 1018, 1010, 22029, 1010, 1050, 1012, 1040, 1012, 5388, 12376, 2509, 1010, 1998, 11382, 19020, 14916, 6790, 8965, 2368, 1006, 2006, 4766, 1007, 1010, 3353, 4905, 2236, 1010, 2167, 7734, 2436, 1997, 4905, 2236, 1010, 3156, 2167, 6280, 2395, 1010, 22029, 1010, 1050, 1012, 1040, 1012, 5388, 12376, 2487, 1010, 2005, 16362, 1998, 10439, 14774, 2229, 1012, 5448, 1997, 1996, 2457, 2011, 16400, 2290, 1010, 3425, 1012, 16400, 2290, 1010, 3425, 1012, 1031, 1086, 1015, 1033, 18906, 7583, 14093, 1010, 1049, 1012, 1040, 1012, 1010, 9023, 2013, 1037, 12654, 8689, 28913, 2010, 2895, 2114, 1996, 2110, 1997, 2167, 7734, 1010, 2725, 2449, 2004, 1996, 2118, 1997, 2167, 7734, 1010, 1998, 2114, 2852, 1012, 2585, 1996, 25538, 1010, 1996, 2472, 1997, 1996, 14079, 2565, 2012, 1996, 2118, 1005, 1055, 2082, 1997, 4200, 1998, 2740, 4163, 1010, 29217, 2013, 14093, 1005, 1055, 15322, 2013, 1996, 4722, 4200, 14079, 2565, 2012, 1996, 2118, 1005, 1055, 2082, 1997, 4200, 2005, 1000, 4297, 25377, 12870, 5897, 1999, 1996, 2181, 1997, 1031, 1052, 1033, 20996, 7959, 28231, 13911, 2213, 1012, 1000, 14093, 9251, 2010, 15322, 2013, 1996, 14079, 2565, 2001, 15275, 1998, 6178, 7277, 6313, 1010, 1998, 2002, 19514, 1996, 2212, 2457, 9413, 5596, 1999, 15080, 12654, 8689, 2138, 2045, 2024, 10218, 3314, 1997, 3430, 2755, 2006, 2169, 1997, 2010, 4447, 1012, 2057, 21358, 27972, 1012, 1045, 1031, 1086, 1016, 1033, 14093, 3852, 2013, 1996, 16094, 2118, 2082, 1997, 4200, 1999, 7795, 1999, 2639, 1012, 1999, 2251, 2541, 1010, 2002, 2211, 1037, 14079, 2731, 2565, 2007, 1996, 2966, 2267, 1997, 5273, 1010, 2029, 2443, 2093, 9963, 2015, 1012, 2004, 1037, 2765, 1997, 9312, 2015, 1999, 2216, 9963, 2015, 1010, 1996, 2082, 3253, 2032, 2093, 7047, 1024, 1006, 1015, 1007, 12897, 2013, 1996, 14079, 2565, 1025, 1006, 1016, 1007, 5138, 19703, 1998, 1037, 2128, 16969, 3508, 2933, 1025, 2030, 1006, 1017, 1007, 2202, 1037, 2681, 1997, 6438, 2013, 1996, 2565, 1998, 2424, 2178, 14079, 2565, 1012, 14093, 2787, 2000, 2202, 1037, 2681, 1997, 6438, 1998, 8302, 1999, 1037, 2695, 4619, 2095, 1015, 4722, 4200, 14079, 2565, 2012, 2264, 5298, 2110, 2118, 2013, 2257, 2494, 2083, 2244, 2432, 1012, 1031, 1086, 1017, 1033, 2006, 2255, 1015, 1010, 2432, 1010, 14093, 2211, 2019, 4722, 4200, 14079, 2565, 2012, 1996, 2118, 1005, 1055, 2082, 1997, 4200, 2005, 2010, 2695, 4619, 2095, 1016, 1012, 14093, 1005, 1055, 4646, 2000, 1996, 2118, 1005, 1055, 14079, 2565, 3205, 1996, 2966, 2267, 1997, 5273, 2104, 1000, 5719, 2966, 2495, 1006, 4642, 2063, 1007, 5352, 1999, 4722, 4200, 1010, 1000, 2738, 2084, 2104, 1037, 1000, 14079, 1000, 2930, 1012, 1999, 2258, 2384, 1010, 14093, 6472, 1037, 1000, 6319, 3206, 1000, 2007, 1996, 2118, 2005, 1037, 2731, 2565, 1999, 4722, 4200, 2012, 1996, 2695, 4619, 2095, 1017, 2504, 1010, 2029, 2743, 2013, 2255, 1015, 1010, 2384, 1010, 2083, 2244, 2382, 1010, 2294, 1012, 1996, 1000, 5039, 3206, 1000, 3024, 2008, 1000, 6413, 10618, 1031, 2052, 1033, 2022, 3024, 2588, 23045, 6503, 1997, 1996, 2495, 1998, 2731, 2565, 1010, 1000, 1998, 1000, 1031, 1057, 1033, 23971, 7315, 21450, 2030, 14516, 2135, 2625, 2084, 23045, 6319, 9312, 2064, 2765, 1999, 3223, 2128, 16969, 2140, 3450, 1010, 5741, 8636, 2013, 5704, 1010, 2030, 18287, 1997, 6107, 1998, 14079, 2495, 1012, 1000, 1996, 3206, 2036, 2056, 1996, 1000, 6319, 1031, 2071, 1033, 2022, 12527, 2005, 4895, 16846, 2483, 21450, 2030, 14516, 2135, 2625, 2084, 23045, 2836, 1997, 5704, 2004, 4340, 2011, 21238, 4513, 2030, 2005, 4945, 2000, 5082, 1999, 2966, 3716, 1998, 4813, 1012, 1000, 1031, 1086, 1018, 1033, 1999, 1037, 2238, 2654, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 1010, 1996, 2472, 1997, 1996, 14079, 2565, 1010, 6727, 14093, 2008, 2010, 1000, 3522, 5248, 1998, 11061, 5292, 1031, 1040, 1033, 2081, 1031, 1996, 25538, 1033, 2200, 4986, 2055, 1031, 14093, 1005, 1055, 1033, 3167, 2092, 1011, 2108, 1998, 5177, 2740, 1010, 1000, 1998, 1996, 25538, 6727, 14093, 2008, 2002, 2018, 2042, 2872, 2006, 2019, 1000, 5057, 2681, 1997, 6438, 2013, 1996, 14079, 2565, 1010, 14223, 1037, 13691, 9312, 1012, 1000, 14093, 3525, 2513, 2000, 1996, 2565, 2006, 2257, 1015, 1010, 2294, 1010, 2021, 2010, 5115, 6503, 3058, 2005, 2010, 14079, 2731, 2001, 3668, 2000, 2255, 2322, 1010, 2294, 1012, 1031, 1086, 1019, 1033, 1999, 2019, 2255, 2260, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 6727, 14093, 2008, 2002, 2001, 8184, 6731, 2013, 1996, 14079, 2565, 1010, 14223, 1037, 13691, 7749, 1010, 2005, 5936, 2055, 2010, 1000, 2658, 5248, 1012, 1000, 1999, 2019, 2255, 2603, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 22539, 14093, 1005, 1055, 3570, 2007, 1996, 14079, 2565, 1010, 2164, 2658, 2964, 5936, 2055, 14093, 1005, 1055, 4945, 2000, 26056, 2010, 14079, 2012, 1996, 2966, 2267, 1997, 5273, 1998, 1996, 6214, 1997, 2010, 6712, 2013, 2008, 2565, 1010, 14093, 1005, 1055, 6204, 4953, 26324, 1997, 1037, 2470, 8356, 2007, 2852, 1012, 2520, 10625, 1010, 1998, 14093, 1005, 1055, 6204, 4953, 1037, 2188, 3942, 2007, 1037, 5776, 1024, 2006, 2238, 2570, 1010, 2294, 1010, 1045, 2363, 2019, 10373, 2013, 2017, 4129, 2033, 2008, 2017, 2106, 2025, 13566, 2000, 3926, 2256, 2565, 1000, 2065, 2044, 2251, 1010, 2294, 2026, 21025, 7881, 3206, 1999, 14415, 9349, 2003, 2025, 2006, 1996, 4624, 1012, 1000, 1045, 2741, 2017, 1037, 7514, 8131, 2026, 2022, 29602, 4063, 3672, 1010, 1998, 2356, 2000, 3113, 2007, 2017, 1996, 2279, 2154, 1012, 1045, 2101, 2179, 2041, 2008, 2017, 2018, 2074, 4342, 1997, 2115, 4945, 2000, 2674, 2007, 1037, 21025, 7881, 2565, 1012, 1045, 2572, 2036, 5204, 2008, 2017, 2020, 2074, 5131, 1037, 9963, 2004, 1996, 2305, 14257, 6319, 1012, 1996, 2279, 2851, 1010, 1045, 2234, 2000, 2147, 1998, 3603, 1037, 2192, 15773, 3602, 2013, 2017, 2006, 2026, 4624, 17942, 2026, 1000, 10896, 2055, 1031, 14093, 1033, 2000, 1996, 2708, 3425, 1997, 1996, 2142, 2163, 2198, 7031, 1999, 1996, 2149, 4259, 2457, 1999, 2899, 1040, 1012, 1039, 1012, 2005, 1996, 4987, 4646, 1012, 2115, 6792, 17048, 27208, 11253, 3425, 2097, 2022, 12315, 1012, 1000, 1996, 3602, 2001, 4987, 2000, 1037, 2828, 15773, 1016, 1011, 3931, 1000, 3167, 4861, 2000, 1996, 4259, 2457, 1997, 1996, 2142, 2163, 1000, 2029, 1045, 2179, 2000, 2022, 2471, 4297, 11631, 7869, 3372, 1012, 2012, 2008, 2391, 1010, 1045, 4342, 2008, 2017, 2018, 2187, 2237, 2008, 2851, 2000, 4088, 1037, 10885, 1012, 1045, 2777, 2007, 2017, 1999, 2026, 2436, 2006, 2238, 2654, 1010, 2294, 1012, 2012, 2008, 2051, 1010, 2017, 2596, 2000, 2022, 5475, 1010, 18920, 1010, 1998, 9608, 1010, 2021, 1045, 2872, 2017, 2006, 2019, 5057, 2966, 2681, 2013, 1996, 2565, 14223, 1037, 13691, 9312, 1012, 1999, 2804, 2000, 1996, 3160, 1997, 2115, 5177, 2740, 1010, 1045, 2001, 2036, 4986, 2055, 2112, 1997, 1996, 4180, 1997, 2115, 1000, 3167, 4861, 2000, 1996, 4259, 2457, 1012, 1000, 1999, 2008, 6254, 1010, 2017, 3855, 2008, 2017, 2018, 2042, 1037, 6319, 2012, 1996, 2966, 2267, 1997, 5273, 1999, 1996, 2621, 1997, 2541, 1012, 1045, 2001, 2025, 3130, 5204, 1997, 2023, 1012, 1999, 2115, 8882, 19300, 2063, 2443, 2007, 2115, 4646, 2000, 2256, 2565, 1010, 2017, 2106, 2862, 2115, 8824, 14079, 1999, 4722, 4200, 2012, 2264, 5298, 2110, 2118, 1012, 2019, 3325, 2012, 1996, 2966, 2267, 1997, 5273, 2001, 3205, 2069, 1999, 2235, 6140, 2104, 1996, 5825, 1000, 5719, 2966, 2495, 1006, 4642, 2063, 1007, 5352, 1999, 4722, 4200, 1012, 1000, 2057, 20119, 1010, 2007, 2115, 6792, 1010, 2008, 2017, 2018, 2042, 1037, 6319, 2012, 11338, 2860, 1010, 1998, 2008, 2017, 5295, 1012, 2017, 9601, 2019, 4866, 13691, 9312, 2012, 1996, 2118, 1997, 6278, 1999, 2251, 2294, 1012, 1045, 2363, 1037, 3661, 2013, 2115, 18146, 2006, 2251, 2324, 1010, 2294, 1012, 1996, 18146, 2626, 2008, 2115, 13691, 8030, 2020, 6123, 8787, 1998, 3141, 2000, 3637, 29516, 1012, 2002, 5393, 2008, 2007, 3949, 1997, 1996, 3637, 16915, 1010, 2017, 2071, 2709, 2000, 2147, 2044, 2251, 2538, 1010, 2294, 1012, 2256, 6319, 9312, 1998, 12607, 2837, 8182, 2023, 3043, 2006, 2251, 2423, 1010, 2294, 1012, 1996, 2837, 6749, 2008, 2017, 2323, 2022, 18671, 2000, 1996, 2565, 2044, 7678, 1037, 3116, 2007, 1996, 2565, 2472, 1010, 2021, 2008, 5936, 2055, 2115, 2658, 2964, 2323, 2022, 3264, 1998, 2988, 1999, 1996, 2925, 2043, 11186, 2005, 22616, 1997, 2731, 2024, 2363, 1012, 1045, 2777, 2007, 2017, 2006, 2251, 2676, 1010, 2294, 1012, 2017, 2020, 18671, 2000, 1996, 2565, 2004, 1997, 2257, 1015, 1010, 2294, 1012, 2115, 11436, 6503, 3058, 2005, 1996, 2565, 2001, 14475, 2000, 2255, 2322, 1010, 2294, 2138, 1997, 2115, 3522, 2966, 2681, 1012, 2006, 2244, 2654, 1010, 2294, 1010, 2852, 1012, 2520, 10625, 2741, 2033, 1037, 3661, 14026, 2010, 5142, 2055, 2115, 2658, 5248, 3141, 2000, 2115, 4101, 2470, 3947, 1012, 2058, 1996, 2279, 2195, 2420, 1010, 1045, 2363, 3176, 11061, 2013, 2060, 4513, 1998, 3095, 14026, 5936, 2055, 2115, 5248, 1012, 2028, 1997, 1996, 5936, 2001, 2008, 2017, 7531, 1037, 2188, 3942, 2007, 1037, 5776, 2302, 6413, 7052, 7522, 10429, 1998, 2008, 2017, 11925, 1037, 7522, 2012, 1996, 14415, 9349, 2006, 2023, 5776, 1005, 1055, 6852, 1010, 2021, 2008, 2017, 2106, 2025, 23263, 6709, 4426, 2004, 1037, 6319, 7522, 1012, 2633, 1010, 2006, 2255, 2260, 1010, 2294, 1010, 1037, 3095, 2266, 1012, 1012, 1012, 2988, 2008, 2016, 2001, 2200, 10363, 2011, 2115, 5248, 1998, 2008, 2016, 2371, 25135, 1012, 1045, 2777, 2007, 2017, 2101, 2008, 2851, 1998, 6731, 2017, 2013, 1996, 2565, 14223, 1037, 13691, 9312, 1012, 2044, 1045, 4374, 1037, 3189, 2013, 2115, 18146, 1010, 2023, 3043, 2097, 2022, 3615, 2000, 1996, 6319, 9312, 1998, 12607, 2837, 1012, 2028, 1997, 1996, 3809, 3314, 2000, 2022, 2641, 2003, 1996, 3043, 1997, 2026, 9312, 1997, 2115, 2836, 1999, 2169, 4563, 5566, 9407, 1010, 2021, 2926, 1999, 2658, 2964, 1012, 1999, 2344, 2000, 4374, 4923, 2005, 1996, 2345, 2095, 1997, 2731, 1998, 5147, 3143, 2256, 2565, 1010, 1037, 2353, 1011, 2095, 6319, 2442, 2022, 2445, 23045, 8599, 1999, 2169, 5566, 9407, 2181, 1012, 2026, 5790, 1997, 2115, 2836, 1999, 2658, 2964, 2097, 2022, 4340, 2044, 6413, 3319, 1997, 1996, 5609, 14801, 2682, 1012, 1031, 1086, 1020, 1033, 1999, 1037, 2281, 1020, 1010, 2294, 1010, 3661, 2000, 14093, 1010, 1996, 25538, 6727, 14093, 2008, 1996, 2118, 1005, 1055, 6319, 9312, 1998, 12607, 2837, 2018, 8182, 14093, 1005, 1055, 3570, 1998, 6749, 28913, 14093, 2013, 1996, 14079, 2565, 1012, 1999, 2008, 3661, 1010, 1996, 25538, 6727, 14093, 1997, 2010, 15322, 2013, 1996, 14079, 2565, 1012, 1031, 1086, 1021, 1033, 14093, 12068, 1996, 15322, 2000, 1037, 6319, 4189, 2832, 1998, 24665, 2666, 21789, 4994, 5997, 1010, 2029, 4504, 1999, 2019, 10358, 17302, 4994, 2077, 1037, 5997, 1997, 2274, 7435, 1012, 1996, 4994, 5997, 19768, 1996, 3247, 2000, 19776, 14093, 2013, 1996, 14079, 2565, 2005, 1000, 4297, 25377, 12870, 5897, 1999, 1996, 2181, 1997, 1031, 1052, 1033, 20996, 7959, 28231, 13911, 2213, 1010, 1000, 4531, 1024, 1048, 1007, 1996, 4431, 2000, 2093, 2706, 1999, 1996, 2966, 2267, 1997, 5273, 14079, 2006, 1996, 26226, 2852, 1012, 14093, 7864, 2007, 2010, 6151, 1012, 1012, 1012, 4646, 3544, 2206, 1037, 2930, 2006, 5719, 2966, 2495, 4923, 1998, 2025, 1999, 1996, 2930, 2007, 2010, 2264, 5298, 2110, 2118, 14079, 2095, 1012, 2002, 23439, 2023, 2001, 2019, 3535, 2000, 19819, 2023, 14079, 12912, 1012, 2006, 2010, 4646, 2005, 3901, 2005, 1996, 12436, 1010, 2772, 1018, 1011, 2656, 1011, 5840, 1010, 2002, 3205, 2009, 4415, 2104, 3025, 13960, 14767, 1010, 2174, 1010, 2002, 7039, 1037, 1000, 2053, 1000, 3433, 2000, 1037, 3160, 1000, 2306, 1996, 2197, 2274, 2086, 2031, 2017, 5295, 2030, 3394, 2013, 1037, 2597, 2044, 2108, 19488, 2017, 2052, 2022, 28675, 2030, 14374, 1010, 2030, 2044, 3980, 2055, 2115, 6612, 22219, 2020, 2992, 1029, 1000, 1996, 3661, 2013, 2852, 1012 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1013, 1008, 19998, 15488, 2497, 1013, 25022, 10343, 7375, 1012, 6970, 1011, 2832, 4807, 1998, 2315, 8667, 8304, 9385, 1006, 1039, 1007, 4080, 13012, 11818, 3363, 2826, 1011, 2687, 15488, 2497, 2544, 8304, 9385, 1006, 1039, 1007, 2198, 1044, 28774, 4523, 6494, 2786, 1011, 2687, 2023, 2565, 2003, 2489, 4007, 1025, 2017, 2064, 2417, 2923, 3089, 8569, 2618, 2009, 1998, 1013, 2030, 19933, 2009, 2104, 1996, 3408, 1997, 1996, 27004, 2236, 2270, 6105, 2004, 2405, 2011, 1996, 2489, 4007, 3192, 1025, 2593, 2544, 1016, 1997, 1996, 6105, 1010, 2030, 1006, 2012, 2115, 5724, 1007, 2151, 2101, 2544, 1012, 2023, 2565, 2003, 5500, 1999, 1996, 3246, 2008, 2009, 2097, 2022, 6179, 1010, 2021, 2302, 2151, 10943, 2100, 1025, 2302, 2130, 1996, 13339, 10943, 2100, 1997, 6432, 8010, 2030, 10516, 2005, 1037, 3327, 3800, 1012, 2156, 1996, 27004, 2236, 2270, 6105, 2005, 2062, 4751, 1012, 2017, 2323, 2031, 2363, 1037, 6100, 1997, 1996, 27004, 2236, 2270, 6105, 2247, 2007, 2023, 2565, 1025, 2065, 2025, 1010, 4339, 2000, 1996, 2489, 4007, 3192, 1010, 4297, 1012, 1010, 6163, 2629, 3742, 13642, 1010, 4729, 1010, 5003, 6185, 17134, 2683, 1010, 3915, 1012, 1008, 1013, 1013, 1008, 2023, 5371, 16024, 1996, 2315, 8667, 1998, 5653, 14540, 4140, 4455, 1999, 1996, 15488, 19279, 5521, 2015, 8778, 1008, 1013, 1001, 2421, 1000, 2950, 1012, 1044, 1000, 4654, 16451, 20014, 4098, 1035, 4604, 1025, 1001, 9375, 11265, 12171, 1035, 2025, 6342, 9397, 15613, 2753, 4654, 16451, 20014, 15488, 2497, 1035, 3191, 1035, 7561, 1025, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 4809, 11709, 1998, 2951, 1010, 2004, 2734, 1010, 2046, 1996, 15488, 2497, 17698, 1008, 2119, 1008, 1996, 2951, 1998, 11498, 5244, 5433, 2323, 2022, 13115, 1012, 2023, 2003, 11865, 11818, 2094, 1999, 1996, 1054, 15042, 12432, 2011, 2012, 2556, 1010, 2069, 1996, 2951, 2930, 2003, 1012, 2023, 2089, 2022, 1037, 2825, 3426, 1997, 2070, 1997, 1996, 12997, 2278, 3471, 2108, 5281, 1012, 1048, 2243, 20464, 23833, 3207, 2278, 2683, 2581, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1013, 10763, 11675, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1006, 25869, 1008, 2041, 8569, 2546, 1010, 20014, 25705, 1010, 25869, 1008, 1054, 28689, 2213, 1010, 20014, 11498, 2213, 1035, 16396, 1010, 20014, 11498, 2213, 1035, 18798, 1010, 25869, 1008, 16428, 6790, 1010, 20014, 2951, 1035, 16396, 1010, 20014, 2951, 1035, 18798, 1007, 1063, 25869, 1008, 6100, 1035, 2046, 1027, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1025, 2065, 1006, 11498, 2213, 1035, 18798, 1026, 1014, 1007, 11498, 2213, 1035, 18798, 1027, 1014, 1025, 2065, 1006, 2951, 1035, 18798, 1026, 1014, 1007, 2951, 1035, 18798, 1027, 1014, 1025, 2139, 8569, 2290, 1006, 1019, 1010, 1006, 1000, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1024, 11498, 5244, 1031, 1003, 1040, 1012, 1012, 1003, 1040, 1033, 2951, 1031, 1003, 1040, 1012, 1012, 1003, 1040, 1033, 1032, 1050, 1000, 1010, 11498, 2213, 1035, 16396, 1010, 11498, 2213, 1035, 16396, 1009, 11498, 2213, 1035, 18798, 1010, 2951, 1035, 16396, 1010, 2951, 1035, 16396, 1009, 2951, 1035, 18798, 1007, 1007, 1025, 2065, 1006, 11498, 2213, 1035, 18798, 1007, 2033, 12458, 7685, 1006, 6100, 1035, 2046, 1010, 1004, 1054, 28689, 2213, 1031, 11498, 2213, 1035, 16396, 1033, 1010, 11498, 2213, 1035, 18798, 1007, 1025, 6100, 1035, 2046, 1009, 1027, 11498, 2213, 1035, 18798, 1009, 25705, 1025, 2065, 1006, 2951, 1035, 18798, 1007, 2033, 12458, 7685, 1006, 6100, 1035, 2046, 1010, 1004, 16428, 6790, 1031, 2951, 1035, 16396, 1033, 1010, 2951, 1035, 18798, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 4604, 1037, 9099, 7514, 1012, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1013, 11675, 4604, 1035, 9099, 1035, 7514, 1006, 25869, 1008, 2041, 8569, 2546, 1010, 25869, 1008, 1054, 28689, 2213, 1010, 20014, 1054, 28689, 2213, 1035, 18798, 1010, 25869, 1008, 16428, 6790, 1010, 20014, 16428, 6790, 1035, 18798, 1010, 22017, 2140, 17698, 1035, 2205, 1035, 2312, 1007, 1063, 20014, 2023, 1035, 25510, 6790, 1010, 2023, 1035, 6948, 5400, 2213, 1025, 20014, 2000, 2102, 1035, 2951, 1035, 2741, 1027, 1014, 1025, 20014, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1027, 1014, 1025, 20014, 25705, 1025, 20014, 25510, 6790, 1027, 16428, 6790, 1029, 16428, 6790, 1035, 18798, 1024, 1014, 1025, 20014, 6948, 5400, 2213, 1027, 1054, 28689, 2213, 1029, 1054, 28689, 2213, 1035, 18798, 1024, 1014, 1025, 2065, 1006, 17698, 1035, 2205, 1035, 2312, 1007, 2139, 8569, 2290, 1006, 1019, 1010, 1006, 1000, 4604, 1035, 9099, 1035, 7514, 1024, 17698, 1003, 1040, 2205, 2312, 1032, 1050, 1000, 1010, 25510, 6790, 1007, 1007, 1025, 2023, 1035, 6948, 5400, 2213, 1027, 8117, 1006, 6948, 5400, 2213, 1010, 4098, 1035, 4604, 1011, 3156, 1007, 1025, 1013, 1008, 20578, 1008, 1013, 2023, 1035, 25510, 6790, 1027, 8117, 1006, 25510, 6790, 1010, 4098, 1035, 4604, 1011, 1006, 3156, 1009, 2023, 1035, 6948, 5400, 2213, 1007, 1007, 1025, 25705, 1027, 1006, 1006, 2023, 1035, 6948, 5400, 2213, 1007, 1003, 1018, 1007, 1025, 2065, 1006, 17698, 1035, 2205, 1035, 2312, 1007, 1063, 7561, 1035, 2119, 1006, 3570, 1035, 17698, 1035, 2058, 12314, 1010, 9413, 20683, 2015, 1010, 9413, 10867, 19574, 6790, 1007, 1025, 1065, 2275, 1035, 4471, 1006, 2041, 8569, 2546, 1010, 2184, 1010, 1015, 1009, 25705, 1009, 2023, 1035, 25510, 6790, 1009, 2023, 1035, 6948, 5400, 2213, 1010, 2995, 1007, 1025, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1006, 2041, 8569, 2546, 1010, 25705, 1010, 1054, 28689, 2213, 1010, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1010, 2023, 1035, 6948, 5400, 2213, 1010, 16428, 6790, 1010, 2000, 2102, 1035, 2951, 1035, 2741, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2692, 1010, 6948, 5400, 2213, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2487, 1010, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2509, 1010, 2023, 1035, 6948, 5400, 2213, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2549, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2629, 1010, 1014, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2575, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2581, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1009, 2023, 1035, 6948, 5400, 2213, 1009, 25705, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2620, 1010, 1014, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2683, 1010, 1014, 1007, 1025, 2265, 1035, 5796, 2290, 1006, 2041, 8569, 2546, 1007, 1025, 2065, 1006, 999, 4604, 1035, 15488, 2497, 1006, 15488, 2497, 2094, 1035, 8241, 1035, 1042, 2094, 1006, 1007, 1010, 2041, 8569, 2546, 1007, 1007, 6164, 1035, 8241, 1035, 4550, 2135, 1006, 1000, 4604, 1035, 9099, 1035, 7514, 1024, 4604, 1035, 15488, 2497, 3478, 1012, 1000, 1007, 1025, 2000, 2102, 1035, 2951, 1035, 2741, 1027, 2023, 1035, 25510, 6790, 1025, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1027, 2023, 1035, 6948, 5400, 2213, 1025, 2096, 1006, 2000, 2102, 1035, 2951, 1035, 2741, 1026, 25510, 6790, 1064, 1064, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1026, 6948, 5400, 2213, 1007, 1063, 2023, 1035, 6948, 5400, 2213, 1027, 8117, 1006, 6948, 5400, 2213, 1011, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1010, 4098, 1035, 4604, 1011, 3156, 1007, 1025, 1013, 1008, 20578, 1008, 1013, 2023, 1035, 25510, 6790, 1027, 8117, 1006, 25510, 6790, 1011, 2000, 2102, 1035, 2951, 1035, 2741, 1010, 4098, 1035, 4604, 1011, 1006, 3156, 1009, 2023, 1035, 6948, 5400, 2213, 1007, 1007, 1025, 2065, 1006, 2023, 1035, 6948, 5400, 2213, 1026, 1014, 1007, 2023, 1035, 6948, 5400, 2213, 1027, 1014, 1025, 2065, 1006, 2023, 1035, 25510, 6790, 1026, 1014, 1007, 2023, 1035, 25510, 6790, 1027, 1014, 1025, 25705, 1027, 1006, 2023, 1035, 6948, 5400, 2213, 1003, 1018, 1007, 1025, 2275, 1035, 4471, 1006, 2041, 8569, 2546, 1010, 2184, 1010, 1015, 1009, 2023, 1035, 25510, 6790, 1009, 2023, 1035, 6948, 5400, 2213, 1009, 25705, 1010, 6270, 1007, 1025, 6100, 1035, 9099, 1035, 11498, 5244, 1035, 1998, 1035, 2951, 1006, 2041, 8569, 2546, 1010, 25705, 1010, 1054, 28689, 2213, 1010, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1010, 2023, 1035, 6948, 5400, 2213, 1010, 16428, 6790, 1010, 2000, 2102, 1035, 2951, 1035, 2741, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2509, 1010, 2023, 1035, 6948, 5400, 2213, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2549, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2629, 1010, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2575, 1010, 2023, 1035, 25510, 6790, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2581, 1010, 15488, 2497, 1035, 16396, 1006, 15488, 2497, 1035, 20934, 2546, 1006, 2041, 8569, 2546, 1007, 1009, 1015, 1009, 2023, 1035, 6948, 5400, 2213, 1009, 25705, 1010, 2041, 8569, 2546, 1007, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2620, 1010, 2000, 2102, 1035, 2951, 1035, 2741, 1007, 1025, 7020, 10175, 1006, 2041, 8569, 2546, 1010, 15488, 2497, 1035, 1058, 2860, 2615, 2683, 1010, 1014, 1007, 1025, 2265, 1035, 5796, 2290, 1006, 2041, 8569, 2546, 1007, 1025, 2065, 1006, 999, 4604, 1035, 15488, 2497, 1006, 15488, 2497, 2094, 1035, 8241, 1035, 1042, 2094, 1006, 1007, 1010, 2041, 8569, 2546, 1007, 1007, 6164, 1035, 8241, 1035, 4550, 2135, 1006, 1000, 4604, 1035, 9099, 1035, 7514, 1024, 4604, 1035, 15488, 2497, 3478, 1012, 1000, 1007, 1025, 2000, 2102, 1035, 2951, 1035, 2741, 1009, 1027, 2023, 1035, 25510, 6790, 1025, 2000, 2102, 1035, 11498, 2213, 1035, 2741, 1009, 1027, 2023, 1035, 6948, 5400, 2213, 1025, 1065, 1065, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2076, 6064, 16012, 6508, 3372, 24124, 1010, 19395, 2239, 14194, 2571, 20049, 3207, 16510, 15006, 24556, 2015, 2024, 4991, 2046, 2037, 2139, 11636, 12541, 12322, 2239, 14194, 2571, 20049, 3207, 5662, 2015, 3081, 1996, 4372, 9096, 12644, 4023, 1997, 19395, 2239, 14194, 2571, 26601, 2417, 14194, 18260, 1006, 2465, 1045, 1011, 1011, 3523, 1007, 1034, 1031, 1030, 1054, 2620, 1033, 1034, 1012, 10232, 2135, 1010, 1037, 1006, 1017, 1531, 1010, 1016, 1531, 1007, 1011, 6714, 2415, 5670, 5158, 1010, 4525, 1999, 1156, 1011, 1039, 1011, 1011, 1051, 16596, 28231, 1998, 9614, 1997, 2300, 1006, 1031, 20965, 1012, 20720, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 6195, 1996, 8122, 1997, 2023, 10256, 4372, 9096, 12644, 2832, 2000, 18856, 5243, 3726, 1039, 1011, 1011, 1051, 9547, 2000, 9699, 25354, 23618, 1010, 2057, 2695, 8898, 3251, 2019, 19639, 5072, 2832, 2071, 5258, 2007, 3722, 6544, 2015, 1010, 2107, 2004, 2777, 4819, 4747, 1010, 2000, 3229, 7490, 7783, 2015, 2005, 2224, 1999, 10368, 5416, 21913, 1006, 1031, 20965, 1012, 26314, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 1999, 1996, 20632, 6370, 2451, 1010, 2045, 2003, 3652, 5157, 2005, 1996, 3622, 4955, 1997, 2632, 4801, 2140, 2967, 1011, 1011, 2926, 25003, 2967, 1011, 1011, 2000, 21770, 10624, 12069, 5267, 1010, 2445, 2037, 3747, 2006, 4319, 18089, 1998, 6887, 27292, 22684, 4939, 16530, 17879, 1034, 1031, 1030, 1054, 2683, 1033, 1034, 1012, 1996, 2330, 1011, 5806, 2804, 1997, 2632, 4801, 2140, 7490, 7783, 2015, 2000, 21770, 10624, 12069, 5267, 1010, 2124, 2004, 1996, 7163, 11020, 2072, 4668, 1034, 1031, 1030, 1054, 10790, 1033, 1034, 1010, 2038, 2468, 1037, 2364, 9153, 2100, 8651, 2007, 5041, 4646, 2306, 2715, 4319, 5456, 1034, 1031, 1030, 1054, 14526, 1033, 1034, 1012, 6854, 1010, 2116, 2783, 4725, 2024, 3132, 1999, 2037, 4646, 2000, 2397, 1011, 2754, 8360, 3989, 1997, 3375, 10737, 2349, 2000, 2037, 18642, 2588, 1996, 2224, 1997, 2844, 2358, 19419, 4048, 28993, 23060, 8524, 7666, 2030, 8319, 7715, 2000, 9699, 1996, 2128, 24871, 2632, 4801, 2140, 23618, 1034, 1031, 1030, 1054, 2509, 1033, 1011, 1011, 1031, 1030, 1054, 2575, 1033, 1034, 1012, 16101, 10085, 3597, 1998, 11190, 2953, 11451, 3728, 7645, 1037, 6302, 23417, 2595, 1011, 4937, 20766, 5422, 2632, 4801, 13490, 8778, 2478, 2566, 28479, 2015, 2004, 1996, 2632, 4801, 2140, 7490, 14988, 2015, 1034, 1031, 1030, 1054, 2581, 1033, 1034, 1012, 2445, 1996, 2110, 1997, 1996, 2396, 1010, 2057, 3728, 8781, 3251, 1037, 2236, 2632, 4801, 13490, 8778, 2071, 2022, 14917, 1999, 2029, 1037, 5041, 2846, 1997, 4942, 16643, 8525, 11187, 2071, 2022, 5361, 2013, 3722, 3293, 6544, 2015, 2104, 10256, 3785, 1012, 5710, 2422, 1011, 19872, 6302, 23417, 2595, 4937, 20766, 6190, 2038, 6003, 1999, 3522, 2086, 2004, 1037, 3928, 6028, 1999, 7554, 10752, 2008, 27777, 2309, 1011, 10496, 4651, 1006, 2275, 1007, 2824, 2007, 7554, 23725, 1034, 1031, 1030, 1054, 12521, 1033, 1011, 1011, 1031, 1030, 1054, 16932, 1033, 1034, 1012, 2023, 2236, 5656, 4473, 2005, 1996, 2458, 1997, 5416, 21913, 2008, 2024, 2411, 26475, 2030, 2747, 5263, 3081, 4556, 2048, 1011, 10496, 16910, 1012, 3728, 1010, 2256, 5911, 3107, 1037, 3117, 7037, 6302, 23417, 2595, 1011, 5812, 24755, 9080, 21252, 4132, 2000, 9585, 1996, 8360, 3989, 1997, 14477, 6593, 21967, 1008, 11867, 1008, 1034, 1017, 1034, 1011, 1039, 1011, 1011, 1044, 9547, 1034, 1031, 1030, 1054, 16068, 1033, 1011, 1011, 1031, 1030, 1054, 16576, 1033, 1034, 1012, 2023, 26244, 19726, 3640, 3229, 2000, 7490, 7783, 2015, 3081, 1039, 1011, 1011, 1044, 24504, 1010, 4525, 1999, 1996, 2810, 1997, 10368, 1039, 1011, 1011, 1039, 9547, 3081, 1037, 7490, 1011, 1011, 7490, 19780, 7337, 1012, 2007, 1996, 12369, 4227, 2013, 2023, 7037, 26244, 2291, 1998, 2256, 3522, 2147, 2006, 1996, 2458, 1997, 1037, 6302, 23417, 2595, 1011, 4937, 20766, 5422, 7163, 11020, 2072, 4668, 1034, 1031, 1030, 1054, 15136, 1033, 1034, 1010, 2057, 8781, 3251, 2009, 2052, 2022, 2825, 2000, 9699, 2632, 4801, 2140, 23618, 2013, 6544, 2015, 1998, 12666, 2068, 2004, 2632, 4801, 22248, 6074, 1999, 1037, 21770, 10624, 10464, 12644, 1039, 1011, 1011, 1044, 8360, 3989, 4668, 1006, 1031, 20965, 1012, 1015, 2278, 1033, 1006, 1001, 20069, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2096, 2045, 2024, 1037, 2261, 2220, 4311, 1997, 6544, 2015, 2004, 2632, 4801, 2140, 7490, 14988, 2015, 2719, 3081, 2152, 1011, 2943, 20868, 12173, 18963, 1006, 23068, 2422, 1998, 13091, 9938, 1007, 1034, 1031, 1030, 1054, 16147, 1033, 1011, 1011, 1031, 1030, 1054, 17465, 1033, 1034, 1010, 1037, 2236, 1998, 15873, 5656, 2005, 2478, 6544, 2015, 2004, 2397, 3372, 2632, 4801, 22248, 6074, 2038, 2042, 26475, 1012, 2023, 8651, 2052, 5050, 1037, 3622, 1039, 1011, 1011, 1044, 2632, 4801, 13490, 1997, 21770, 10624, 10464, 12644, 2015, 2007, 6544, 2015, 3081, 1037, 6714, 1011, 2415, 5670, 12732, 1010, 15349, 1044, 1066, 1016, 1066, 1051, 2004, 1996, 2069, 2011, 21572, 8566, 6593, 1012, 2057, 3858, 2008, 2023, 10256, 2632, 4801, 22248, 7709, 2052, 3710, 2004, 1037, 3928, 1998, 2236, 4118, 1999, 2397, 1011, 2754, 8360, 3989, 1010, 2478, 11088, 2800, 1998, 12990, 6544, 2015, 2004, 2397, 3372, 2632, 4801, 22248, 6074, 1012, 1037, 6851, 6412, 1997, 2256, 3818, 7037, 26244, 7337, 2005, 1996, 2632, 4801, 13490, 1997, 21770, 10624, 12069, 5267, 2007, 6544, 2015, 2003, 14801, 1999, 1031, 20965, 1012, 1016, 1033, 1006, 1001, 1042, 2475, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1012, 20868, 12173, 18963, 1997, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1015, 1008, 1008, 1007, 1006, 4903, 2100, 1027, 1016, 1011, 6887, 2368, 8516, 7685, 14615, 3170, 1010, 26718, 10322, 7685, 1027, 1018, 1010, 1018, 1531, 1011, 4487, 1011, 1008, 28774, 2102, 1008, 1011, 2021, 8516, 1011, 1016, 1010, 1016, 1531, 1011, 12170, 7685, 14615, 3170, 1007, 2097, 9699, 1996, 2146, 1011, 2973, 1034, 1032, 1008, 1034, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1016, 1008, 1008, 1007, 7568, 2110, 1006, 1174, 1027, 4583, 2581, 24978, 1007, 1034, 1031, 1030, 1054, 19317, 1033, 1034, 1012, 2004, 1034, 1032, 1008, 1034, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1016, 1008, 1008, 1007, 2064, 3853, 2004, 1037, 2417, 14194, 5794, 2102, 2030, 2019, 23060, 8524, 3372, 1010, 2057, 2695, 8898, 2008, 1008, 1008, 1016, 1008, 1008, 2052, 13595, 1037, 2309, 1011, 10496, 4651, 2724, 2007, 1037, 17266, 3089, 8873, 13247, 11712, 1997, 20843, 4383, 21770, 10624, 12069, 2638, 1008, 1008, 1017, 1008, 1008, 2000, 17820, 1996, 2034, 26244, 5402, 1998, 3073, 1996, 23060, 28173, 6774, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 1012, 2445, 1996, 2511, 19577, 4022, 1997, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 1032, 1031, 1008, 1041, 1008, 1066, 1015, 1013, 1016, 1066, 1034, 2417, 1034, 1027, 1009, 1015, 1012, 2538, 1058, 5443, 1012, 23489, 10250, 8462, 2140, 28688, 1006, 8040, 2063, 1007, 1999, 10381, 1066, 1017, 1066, 27166, 1032, 1033, 1034, 1031, 1030, 1054, 19317, 1033, 1034, 1010, 2057, 11436, 2008, 2309, 1011, 10496, 4651, 1006, 2275, 1007, 2013, 1996, 16215, 20282, 16771, 1008, 1008, 1019, 1008, 1008, 1006, 1008, 1041, 1008, 1066, 1015, 1013, 1016, 1066, 1034, 2417, 1034, 1027, 1009, 1014, 1012, 5594, 1058, 5443, 1012, 8040, 2063, 2005, 22330, 8602, 2063, 1007, 1034, 1031, 1030, 1054, 21926, 1033, 1034, 2000, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 2052, 5258, 1998, 1010, 2044, 2139, 21572, 2669, 3370, 1010, 6519, 24014, 1996, 16215, 28008, 2140, 7490, 1008, 1008, 1020, 1008, 1008, 2096, 4192, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1009, 1034, 1006, 1008, 1008, 1015, 1008, 1008, 1007, 2000, 1996, 26244, 5402, 1012, 2012, 2023, 2754, 1010, 2057, 14609, 2008, 1996, 16215, 28008, 2140, 7490, 1008, 1008, 1020, 1008, 1008, 2052, 13595, 9732, 13787, 4651, 2007, 1996, 6544, 1008, 1008, 1021, 1008, 1008, 1006, 1037, 12435, 16215, 20282, 1010, 25003, 1016, 1011, 21442, 17695, 3406, 10732, 12259, 1055, 1011, 1011, 1044, 1038, 3207, 1027, 6584, 21117, 2389, 1013, 9587, 2140, 1034, 1031, 1030, 1054, 18827, 1033, 1034, 1010, 2033, 11631, 1155, 1011, 1039, 1011, 1011, 1044, 1038, 3207, 1027, 5986, 21117, 2389, 1013, 9587, 2140, 1034, 1031, 1030, 1054, 17788, 1033, 1034, 1007, 2000, 3073, 1996, 1155, 1011, 23060, 2100, 7490, 1008, 1008, 1022, 1008, 1008, 1998, 19723, 24454, 3686, 1996, 16215, 20282, 16771, 1008, 1008, 1019, 1008, 1008, 1010, 5533, 2011, 1996, 11508, 3466, 1999, 1996, 6653, 2110, 1034, 1031, 1030, 1054, 23833, 1033, 1034, 1012, 1996, 11508, 3466, 2003, 1037, 9487, 3200, 2008, 12939, 6022, 2203, 2121, 7446, 2594, 1039, 1011, 1011, 1044, 24504, 2015, 2008, 2052, 2025, 2022, 2825, 4728, 1034, 1031, 1030, 1054, 22907, 1033, 1034, 1012, 1996, 16371, 14321, 7361, 19466, 2594, 1155, 1011, 23060, 2100, 7490, 1008, 1008, 1022, 1008, 1008, 2052, 2059, 5587, 2000, 1996, 20843, 4383, 10496, 1011, 13366, 20132, 4002, 27065, 10624, 12069, 2638, 1008, 1008, 1017, 1008, 1008, 1999, 1037, 7163, 11020, 2072, 1011, 2828, 12732, 2000, 8984, 1996, 24432, 8516, 7490, 4937, 3258, 1008, 1008, 1023, 1008, 1008, 1012, 1996, 4525, 1155, 1011, 1039, 1011, 1011, 1044, 5416, 1997, 1008, 1008, 1023, 1008, 1008, 2003, 12949, 24171, 2000, 13595, 2139, 21572, 2669, 3370, 2000, 2433, 1996, 1155, 1011, 13096, 7490, 1008, 1008, 2184, 1008, 1008, 1034, 1031, 1030, 1054, 22407, 1033, 1034, 1012, 2012, 2023, 12022, 14890, 1010, 7783, 1008, 1008, 2184, 1008, 1008, 2003, 3539, 2094, 2000, 13595, 1037, 6714, 1011, 2415, 5670, 2000, 11027, 1044, 1066, 1016, 1066, 1051, 1998, 9699, 17770, 8516, 2594, 7490, 1008, 1008, 2340, 1008, 1008, 1012, 1996, 4525, 2330, 1011, 5806, 2427, 2052, 2059, 13595, 20843, 3370, 2628, 2011, 1037, 2117, 2275, 2724, 2007, 1996, 7568, 6302, 11266, 20766, 3367, 2000, 19723, 24454, 3686, 1996, 3161, 23060, 8524, 3372, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1034, 1016, 1009, 1034, 1006, 1008, 1008, 1018, 1008, 1008, 1007, 2096, 4346, 9059, 2632, 4801, 13490, 4031, 1008, 1008, 2260, 1008, 1008, 1012, 2057, 2034, 8920, 2023, 2047, 2632, 4801, 13490, 8778, 2478, 11163, 12519, 18861, 2063, 1998, 2777, 4819, 4747, 2004, 1996, 19780, 5826, 1998, 16330, 1037, 2846, 1997, 6302, 11266, 20766, 12837, 1998, 16215, 20282, 16771, 2015, 1012, 2057, 2020, 7537, 2000, 7523, 2008, 2478, 20868, 1006, 4903, 2100, 1007, 1066, 1016, 1066, 1006, 26718, 10322, 7685, 1007, 1052, 2546, 1066, 1020, 1066, 1006, 1008, 1008, 1015, 1008, 1008, 1007, 1998, 3802, 29598, 1016, 1011, 21442, 17695, 14399, 18981, 3258, 3686, 1006, 1008, 1008, 1019, 1008, 1008, 1007, 1010, 2247, 2007, 1008, 1052, 1008, 1011, 2000, 7630, 28553, 21007, 12356, 5648, 1998, 2630, 2419, 2015, 2004, 1996, 2422, 3120, 1010, 2057, 2020, 2583, 2000, 6162, 1996, 9059, 1039, 1011, 1011, 1039, 19780, 2000, 3073, 1015, 1011, 25003, 19565, 12519, 18861, 2063, 1006, 1008, 1008, 2321, 1008, 1008, 1007, 1999, 6227, 1003, 10750, 1006, 2156, 1031, 26215, 2592, 1033, 1006, 1001, 17371, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1012, 14780, 1010, 2057, 5159, 3904, 1997, 1996, 9059, 4031, 1999, 1996, 6438, 1997, 6302, 11266, 20766, 3367, 1010, 16215, 20282, 16771, 1010, 5648, 1010, 2030, 2422, 1010, 14313, 1996, 9095, 1997, 2035, 6177, 1999, 2023, 7037, 26244, 8778, 1012, 5546, 1010, 2023, 4118, 5942, 2069, 5410, 5710, 2422, 1998, 17093, 4860, 2000, 16500, 25003, 4942, 16643, 8525, 11187, 2478, 2777, 4819, 4747, 2004, 1996, 2632, 4801, 22248, 4005, 1012, 2007, 1996, 15502, 3785, 1999, 2192, 1010, 2057, 4912, 2000, 16157, 1996, 2236, 3012, 1997, 2023, 7037, 26244, 2632, 4801, 13490, 8651, 1012, 2004, 11548, 1999, 1031, 20965, 1012, 23842, 1033, 1006, 1001, 1042, 2509, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1010, 1037, 2898, 2846, 1997, 21770, 10624, 10464, 12644, 2015, 2024, 25003, 4383, 2104, 1996, 4668, 3785, 1012, 11163, 12519, 18861, 2229, 2007, 10496, 1011, 24260, 3436, 2030, 1011, 21779, 4942, 16643, 8525, 11187, 1006, 2107, 2004, 25003, 4942, 16643, 8525, 11187, 1010, 28517, 2869, 1010, 1998, 11085 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 3141, 3906, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2005, 6653, 3384, 15420, 2007, 10047, 5740, 8458, 2891, 8458, 18842, 8516, 16942, 1010, 2156, 1024, 20704, 2483, 1008, 3802, 2632, 1012, 1008, 1006, 2727, 1031, 1030, 22861, 2487, 1033, 1010, 2722, 1031, 1030, 22861, 2475, 1033, 1007, 1012, 2005, 1996, 26244, 4023, 1997, 20377, 1006, 10047, 5740, 8458, 2891, 8458, 18842, 8516, 1007, 24481, 1998, 2049, 16942, 1010, 2156, 1024, 2940, 1004, 19625, 1006, 2526, 1031, 1030, 22861, 2549, 1033, 1007, 1025, 5003, 1008, 3802, 2632, 1012, 1008, 1006, 2249, 1031, 1030, 22861, 2629, 1033, 1007, 1012, 2005, 1996, 6121, 3252, 1997, 2019, 19639, 7328, 1010, 2156, 1024, 2940, 1004, 19625, 1006, 2526, 1031, 1030, 22861, 2549, 1033, 1007, 1012, 6388, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1063, 1001, 10819, 2475, 1012, 1015, 1065, 1001, 1001, 1001, 6121, 2951, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1015, 1065, 1039, 1066, 3486, 1066, 1044, 1066, 2382, 1066, 1050, 1066, 1018, 1066, 1052, 1066, 1016, 1066, 1008, 1049, 1008, 1008, 1066, 1054, 1066, 1008, 1027, 5179, 2620, 1012, 5401, 8202, 10085, 22153, 2278, 1010, 1008, 1037, 1008, 1027, 2570, 1012, 28952, 1006, 1021, 1007, 1037, 1008, 1038, 1008, 1027, 1023, 1012, 16087, 1006, 1017, 1007, 1037, 1008, 1039, 1008, 1027, 2756, 1012, 3438, 2575, 1006, 1023, 1007, 1037, 29720, 1027, 9402, 1012, 6584, 2581, 1006, 1019, 1007, 1080, 1008, 1058, 1008, 1027, 5354, 22025, 1006, 1017, 1007, 1037, 1034, 1017, 1034, 1008, 1062, 1008, 1027, 1022, 5302, 1008, 1047, 1008, 1155, 8249, 29728, 1027, 1014, 1012, 2324, 3461, 1034, 1597, 2487, 1034, 1008, 1056, 1008, 1027, 26953, 1047, 2692, 1012, 2871, 1095, 1014, 1012, 2382, 1095, 1014, 1012, 2322, 3461, 1001, 1001, 1001, 2951, 3074, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1016, 1065, 7987, 15851, 2099, 13450, 6137, 10507, 2094, 2181, 1011, 19034, 4487, 4246, 22648, 20389, 15141, 7875, 21748, 16790, 18140, 1024, 4800, 1011, 13594, 1006, 1008, 6517, 7875, 2015, 1008, 1025, 7987, 15851, 2099, 1010, 2289, 1031, 1030, 22861, 2509, 1033, 1007, 1008, 1056, 1008, 1066, 8117, 1066, 1027, 1014, 1012, 4293, 2509, 1010, 1008, 1056, 1008, 1066, 4098, 1066, 1027, 1015, 1012, 2199, 16048, 29345, 7594, 16055, 16086, 19481, 2981, 16055, 19961, 10790, 16055, 2007, 1008, 1045, 1008, 1032, 1028, 1016, 29733, 1006, 1008, 1045, 1008, 1007, 1008, 1054, 1008, 1066, 20014, 1066, 1027, 1014, 1012, 5840, 2487, 1001, 1001, 1001, 25416, 3170, 3672, 1063, 1001, 10819, 2475, 1012, 1015, 1012, 1017, 1065, 1008, 1054, 1008, 1032, 1031, 1008, 1042, 1008, 1034, 1016, 1034, 1032, 1028, 1016, 29733, 1006, 1008, 1042, 1008, 1034, 1016, 1034, 1007, 1032, 1033, 1027, 1014, 1012, 5757, 2692, 1008, 23277, 1008, 1006, 1008, 1042, 1008, 1034, 1016, 1034, 1007, 1027, 1014, 1012, 14010, 1008, 1055, 1008, 1027, 1015, 1012, 29185, 19481, 16055, 24434, 2692, 11709, 2232, 1011, 13787, 11709, 27570, 29722, 29732, 1066, 4098, 1066, 1027, 1014, 1012, 4464, 1041, 1037, 1034, 1597, 2509, 1034, 1158, 29732, 1066, 8117, 1066, 1027, 1597, 2692, 1012, 2654, 1041, 1037, 1034, 1597, 2509, 1034, 1063, 1001, 1040, 2629, 2063, 22610, 2509, 1065, 2951, 3074, 1024, 1008, 13450, 2475, 1008, 1006, 7987, 15851, 2099, 1010, 2289, 1031, 1030, 22861, 2509, 1033, 1007, 1025, 3526, 25416, 3170, 3672, 1024, 1008, 13450, 2475, 1008, 1998, 1008, 3002, 1008, 1006, 7987, 15851, 2099, 1010, 2289, 1031, 1030, 22861, 2509, 1033, 1007, 1025, 2951, 7312, 1024, 1008, 3002, 1008, 1025, 2565, 1006, 1055, 1007, 2109, 2000, 9611, 3252, 1024, 1008, 2016, 2140, 2595, 2015, 2683, 2581, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 2565, 1006, 1055, 1007, 2109, 2000, 25416, 3170, 3252, 1024, 1008, 2016, 2140, 2595, 2140, 2683, 2581, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 8382, 8389, 1024, 1008, 2016, 2140, 18413, 2140, 1008, 1006, 2016, 6392, 11285, 1010, 2263, 1031, 1030, 22861, 2575, 1033, 1007, 1025, 4007, 2109, 2000, 7374, 3430, 2005, 4772, 1024, 1008, 2016, 2140, 18413, 2140, 1008, 1998, 1008, 18858, 2078, 1008, 1006, 11867, 5937, 1010, 2268, 1031, 1030, 22861, 2581, 1033, 1007, 1012, 26215, 3430, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 6121, 3252, 1024, 3397, 2951, 23467, 1006, 1055, 1007, 1045, 1010, 3795, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 6342, 2361, 2487, 1012, 25022, 2546, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 6342, 2361, 2487, 1012, 25022, 2546, 1007, 3252, 5876, 1024, 3397, 2951, 23467, 1006, 1055, 1007, 1045, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2475, 1012, 22563, 2140, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2475, 1012, 22563, 2140, 1007, 26215, 3430, 5371, 1012, 9193, 1024, 1031, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2509, 1012, 4642, 2140, 1033, 1006, 8299, 1024, 1013, 1013, 1040, 2595, 1012, 9193, 1012, 8917, 1013, 2184, 1012, 7287, 2581, 1013, 1055, 16048, 8889, 22275, 2575, 2620, 14526, 2692, 24434, 8889, 2581, 1013, 1041, 2480, 19317, 28311, 2483, 6279, 2509, 1012, 4642, 2140, 1007, 3176, 26215, 4475, 1024, 1031, 6121, 21197, 20721, 2592, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 10255, 6279, 8873, 4244, 1029, 1041, 2480, 19317, 28311, 1004, 5371, 1027, 1041, 2480, 19317, 28311, 6342, 2361, 2692, 1012, 16129, 1004, 2771, 4168, 1027, 3793, 1013, 16129, 1007, 1025, 1031, 7605, 3193, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 4604, 6895, 2546, 1029, 1041, 2480, 19317, 28311, 6342, 2361, 2487, 1004, 1053, 4328, 4168, 1027, 25022, 2546, 1007, 1025, 1031, 4638, 6895, 2546, 3189, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 3259, 1029, 1041, 2480, 19317, 28311, 1004, 4638, 6895, 2546, 1027, 2748, 1007, 26215, 2951, 1998, 4481, 2005, 2023, 3259, 2024, 2800, 2013, 1996, 1045, 14194, 2099, 4816, 8264, 1006, 4431, 1024, 1031, 1041, 2480, 19317, 28311, 1033, 1006, 8299, 1024, 1013, 1013, 14546, 1012, 1045, 14194, 2099, 1012, 8917, 1013, 1039, 5856, 1011, 8026, 1013, 10255, 6279, 1029, 1041, 2480, 19317, 28311, 1007, 1007, 1012, 1996, 6048, 2024, 8794, 2005, 3361, 2490, 2013, 4162, 1998, 3937, 2470, 3192, 1997, 21607, 2874, 1006, 2053, 1012, 2268, 19797, 16068, 2549, 1007, 1010, 2330, 3192, 1997, 3145, 5911, 1997, 5636, 4200, 7692, 6370, 1010, 2110, 5636, 3821, 3222, 1004, 3757, 1997, 2495, 1010, 21607, 2118, 1997, 24904, 1006, 2053, 1012, 1049, 9096, 18613, 10790, 2487, 1007, 1012, 7615, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 20377, 1006, 10047, 5740, 8458, 2891, 8458, 18842, 2100, 1007, 24481, 1998, 2049, 16942, 2024, 15411, 2172, 3086, 2349, 2000, 2037, 12379, 12016, 5248, 1006, 20704, 2483, 1008, 3802, 2632, 1012, 1008, 1010, 2727, 1010, 2722, 1007, 1998, 1996, 26244, 4023, 1997, 2037, 6653, 3384, 15420, 1006, 2940, 1004, 19625, 1010, 2526, 1025, 5003, 1008, 3802, 2632, 1012, 1008, 1010, 2249, 1007, 1012, 2182, 2378, 1010, 2057, 3189, 1996, 6121, 3252, 1997, 1037, 18847, 1011, 6887, 2891, 21850, 3490, 11233, 1010, 8419, 1006, 1006, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 27605, 3630, 1007, 16510, 10222, 8516, 8458, 2891, 8458, 18842, 8516, 1007, 1006, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 1011, 1050, 1011, 16510, 10222, 8516, 8458, 2891, 21850, 3630, 10631, 3630, 1007, 24481, 1012, 1999, 1996, 6121, 3252, 1997, 1996, 2516, 7328, 1010, 1996, 1006, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 27605, 3630, 1007, 16510, 10222, 8516, 8458, 2891, 8458, 18842, 8516, 1998, 1996, 1050, 1011, 1016, 1011, 1052, 12541, 3593, 8516, 1011, 1050, 1011, 16510, 10222, 8516, 8458, 2891, 21850, 3630, 10631, 3630, 2967, 2024, 4987, 2000, 1996, 25003, 2007, 1037, 1052, 2475, 1011, 1011, 1011, 1039, 2575, 1011, 1011, 1011, 1050, 2487, 6466, 1997, 12457, 1012, 5641, 1006, 1016, 1007, 1080, 1012, 1996, 1052, 2475, 1027, 1050, 2509, 5416, 3091, 1997, 1015, 1012, 5354, 2509, 1006, 1016, 1007, 1037, 2003, 12435, 2000, 2008, 1997, 1052, 1027, 1050, 12103, 1997, 1015, 1012, 29541, 1006, 1017, 1007, 1998, 1015, 1012, 5401, 2509, 1006, 1017, 1007, 1037, 1999, 20377, 1006, 10047, 5740, 8458, 2891, 8458, 18842, 2100, 1007, 24481, 1006, 2940, 1004, 19625, 1010, 2526, 1007, 1012, 1996, 10737, 9991, 2247, 1996, 1008, 1038, 1008, 8123, 1998, 6970, 8663, 2638, 6593, 2083, 1039, 16703, 1011, 1011, 1011, 1044, 16703, 1006, 1052, 12541, 3593, 8516, 1007, 1087, 1087, 1087, 1050, 2475, 1034, 1045, 1034, 1006, 1052, 12541, 3593, 8516, 1007, 10266, 1006, 1040, 1087, 1087, 1087, 1037, 1017, 1012, 5401, 2581, 1006, 1017, 1007, 1037, 1010, 2795, 1015, 1007, 1010, 5716, 2019, 10709, 4677, 1012, 2122, 5903, 8859, 2024, 2582, 6970, 24230, 3081, 29248, 2487, 1011, 1011, 1011, 1044, 17465, 1006, 17770, 8625, 1007, 1087, 1087, 1087, 1050, 2509, 1034, 2462, 1034, 1006, 13096, 1007, 1998, 29248, 2620, 1011, 1011, 1011, 1044, 22407, 1006, 17770, 8625, 1007, 1087, 1087, 1087, 1039, 2290, 1034, 3523, 1034, 10266, 2000, 2433, 1037, 2093, 1011, 8789, 7705, 1006, 1039, 2290, 5836, 1996, 1039, 2581, 2000, 27723, 2475, 17770, 8625, 3614, 1010, 2795, 1015, 1007, 1012, 14991, 9537, 1024, 1045, 1024, 1060, 1010, 1061, 1009, 1015, 1010, 1062, 1025, 2462, 1024, 1060, 1010, 1011, 1061, 1011, 1015, 1010, 1062, 1011, 1014, 1012, 1019, 1025, 3523, 1024, 1011, 1060, 1010, 1061, 1011, 1015, 1010, 1011, 1062, 1009, 1014, 1012, 1019, 1012, 6388, 1063, 1001, 6388, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2000, 1037, 5576, 1997, 1014, 1012, 1018, 2290, 1006, 1014, 1012, 1015, 3461, 4747, 1007, 1050, 1011, 1006, 1006, 1052, 12541, 28173, 2078, 1011, 1016, 1011, 1061, 10278, 5740, 1007, 25003, 1007, 1052, 12541, 28173, 4859, 1011, 1016, 1011, 24432, 2063, 1999, 2871, 19875, 10381, 1066, 1016, 1066, 18856, 1066, 1016, 1066, 2012, 2282, 4860, 1037, 5576, 1997, 1014, 1012, 3429, 1043, 1006, 1014, 1012, 1016, 3461, 4747, 1007, 10381, 10626, 7716, 11514, 10222, 8516, 8458, 2891, 20738, 1999, 1996, 3739, 1997, 3802, 1066, 1017, 1066, 1050, 1999, 2184, 19875, 2000, 7630, 8625, 2001, 2794, 4530, 14244, 1010, 2076, 2029, 1050, 1066, 1016, 1066, 3806, 7964, 1012, 2044, 1016, 1044, 18385, 1996, 28573, 3756, 5576, 2001, 9345, 17822, 4383, 1010, 3228, 1037, 2317, 9898, 1012, 1996, 2317, 9898, 2001, 2059, 5459, 1998, 16405, 22618, 2011, 5930, 10381, 21716, 10610, 12565, 2006, 9033, 19341, 21500, 1006, 5930, 1997, 1016, 4642, 6705, 1010, 3449, 24997, 2102, 1024, 4487, 2818, 10626, 8462, 21604, 2063, 1013, 9078, 12259, 1027, 5345, 1024, 1019, 1010, 1058, 1013, 1058, 1007, 1010, 1998, 1996, 2516, 7328, 2001, 4663, 1999, 3438, 1003, 10750, 1012, 4589, 14438, 1997, 1996, 2516, 7328, 2383, 2779, 9646, 1997, 1014, 1012, 2871, 1095, 1014, 1012, 2382, 1095, 1014, 1012, 2322, 3461, 1034, 1017, 1034, 2020, 4663, 2011, 4030, 9345, 17822, 3370, 2013, 1037, 5576, 1997, 4487, 2818, 10626, 8462, 21604, 2063, 1013, 1008, 1050, 1010, 1050, 1008, 1011, 27211, 16921, 10270, 2953, 2863, 24284, 1015, 1013, 1015, 1006, 1058, 1013, 1058, 1007, 1012, 25416, 3170, 3672, 1063, 1001, 25416, 3170, 3672, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 9732, 13353, 2020, 2872, 1999, 7812, 3550, 4460, 1998, 3039, 2000, 4536, 2006, 1996, 7882, 6351, 13353, 1010, 2007, 1039, 1011, 1011, 1011, 1044, 1027, 1014, 1012, 6109, 1037, 1998, 1014, 1012, 5989, 1037, 2005, 12098, 8516, 1998, 25003, 8625, 9732, 2015, 1010, 4414, 1012, 1008, 1057, 1066, 11163, 1066, 1008, 1006, 1044, 1007, 1027, 1015, 1012, 1016, 1008, 1057, 1066, 1041, 4160, 1066, 1008, 1006, 1039, 1007, 1012, 4481, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 999, 1031, 1996 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2027, 2655, 2014, 1529, 22003, 11789, 2045, 2024, 3056, 3152, 2008, 2468, 3378, 2007, 2028, 27427, 20806, 3468, 3746, 1012, 2005, 2742, 1010, 2009, 1521, 1055, 2524, 2000, 2228, 1997, 2167, 2011, 4514, 2302, 9530, 9103, 4892, 1037, 5177, 3861, 1997, 20533, 3946, 2108, 13303, 2011, 2008, 10416, 1011, 6497, 2121, 1010, 2030, 1997, 6170, 2378, 1521, 1999, 1996, 4542, 2302, 3202, 3773, 4962, 5163, 5689, 2125, 1997, 2008, 10437, 19894, 1012, 1999, 1996, 2553, 1997, 1996, 10275, 2895, 2143, 2027, 2655, 2014, 1529, 22003, 11789, 1010, 1996, 3746, 2008, 26597, 3310, 2000, 2568, 1516, 2005, 2216, 5220, 2007, 1996, 2143, 1010, 2012, 2560, 1516, 2003, 2008, 1997, 2272, 2135, 2732, 9388, 7373, 3389, 4435, 21837, 2019, 16625, 2559, 1010, 17718, 21531, 2571, 1011, 8460, 2098, 1010, 2387, 2098, 1011, 2125, 13305, 2096, 5102, 1999, 1037, 16634, 1521, 1055, 10427, 1998, 15536, 23344, 1006, 4283, 1010, 3449, 11685, 1007, 1012, 9388, 7373, 1521, 1055, 2839, 2003, 4147, 2008, 2131, 1011, 2039, 2005, 1996, 3800, 1997, 1999, 8873, 7096, 15172, 1037, 6080, 1997, 12290, 2040, 2024, 2036, 17330, 2004, 16752, 1012, 2295, 1010, 1997, 2607, 1010, 4209, 1996, 6123, 1997, 1996, 3746, 2987, 1521, 1056, 2079, 2505, 2000, 5547, 2049, 10768, 24788, 6553, 4424, 3715, 1012, 1999, 2755, 1010, 2000, 2026, 2568, 1010, 1996, 2878, 11967, 2003, 1037, 3819, 2742, 1997, 1037, 12127, 2667, 2000, 2031, 2009, 2119, 3971, 1012, 1999, 1037, 2406, 2004, 6171, 2718, 2011, 1996, 3234, 1059, 3511, 8029, 2004, 1996, 5137, 1010, 1037, 16634, 1521, 1055, 5292, 14454, 14428, 7666, 4287, 1037, 2025, 4297, 5644, 18688, 3085, 3815, 1997, 12613, 8441, 1010, 1998, 3135, 1013, 3213, 1013, 2472, 6173, 22551, 2182, 3594, 1996, 12290, 1521, 17266, 15928, 13910, 6313, 6107, 1997, 2008, 11721, 15185, 2004, 1037, 1523, 2129, 2919, 2024, 2027, 1524, 10467, 1997, 1996, 11143, 1997, 2216, 12290, 1521, 12700, 2100, 1010, 2021, 2059, 2036, 13495, 2009, 1999, 2172, 1996, 2168, 5450, 2370, 1999, 2344, 2000, 14841, 28345, 3686, 1998, 9446, 4697, 2010, 4378, 1012, 2023, 2003, 1037, 4438, 14427, 3185, 11721, 28878, 1010, 1997, 2607, 1010, 2021, 1045, 2228, 2008, 1010, 1999, 2023, 2553, 1010, 2009, 1521, 1055, 2036, 4387, 1997, 2019, 2572, 5638, 17479, 5897, 2008, 1521, 1055, 8281, 1997, 2119, 2715, 16138, 1006, 2129, 2116, 1523, 4654, 1011, 10774, 1524, 2079, 2017, 2113, 2040, 4995, 1521, 1056, 2145, 2004, 6171, 5360, 2011, 1996, 4676, 2004, 2027, 2020, 2043, 2027, 2020, 12560, 2009, 1029, 1007, 1998, 1997, 10275, 3226, 1012, 2044, 2035, 1010, 2069, 1996, 5137, 2071, 2031, 2550, 1037, 3185, 2066, 3449, 3702, 10730, 1521, 9033, 15000, 1010, 1037, 2143, 2008, 1010, 2005, 2035, 7848, 2015, 1998, 5682, 1010, 3849, 2000, 2022, 1037, 8040, 9910, 2094, 2114, 3412, 1011, 2241, 4424, 22422, 1998, 2049, 28573, 2566, 27774, 1997, 4792, 1010, 2021, 2029, 6411, 2229, 2049, 4471, 1999, 2061, 2172, 24560, 2075, 13425, 1997, 2668, 8688, 1998, 17216, 9527, 2008, 2009, 1521, 1055, 3697, 2000, 3929, 5959, 1996, 12990, 2440, 1011, 19124, 16371, 25469, 1998, 2379, 1011, 13076, 3348, 2008, 2009, 8509, 1999, 2326, 1997, 14026, 2009, 1012, 2995, 1010, 2009, 1521, 1055, 2145, 2825, 2005, 1996, 4056, 13972, 2000, 9120, 1996, 6248, 2433, 1997, 1996, 2143, 1521, 1055, 9882, 2732, 3814, 11648, 8685, 1010, 2021, 2025, 2302, 7079, 1037, 3056, 3815, 1997, 19409, 5897, 1012, 2009, 1521, 1055, 2004, 2065, 2057, 1521, 2128, 3773, 2209, 2041, 1999, 1996, 2143, 1996, 2645, 2090, 1996, 4792, 2000, 3459, 2125, 1996, 26136, 13043, 1010, 6703, 1011, 13128, 2544, 1997, 16138, 7900, 2013, 1996, 2406, 1521, 1055, 3009, 16844, 17629, 2015, 1998, 1996, 6171, 13749, 27361, 3218, 1997, 2008, 4676, 16158, 2013, 5606, 1997, 2086, 1997, 27885, 8043, 21789, 1012, 16047, 1010, 22003, 11789, 1520, 1055, 2544, 1997, 2023, 2572, 5638, 17479, 5897, 2003, 2025, 2061, 15723, 4892, 2004, 2000, 11693, 9934, 2046, 2049, 3451, 6147, 1010, 2007, 1996, 2765, 2008, 2057, 2064, 3432, 5959, 2009, 2004, 1037, 2143, 2055, 1037, 2980, 14556, 2040, 14464, 2039, 2066, 1037, 2277, 3203, 1998, 13783, 4485, 2039, 1012, 2023, 2003, 4415, 2129, 2119, 2643, 1998, 6173, 22551, 3832, 2009, 1012, 2027, 2655, 2014, 1529, 22003, 11789, 2001, 1996, 2117, 2143, 2000, 2022, 2550, 2011, 22551, 1521, 1055, 19021, 2143, 5453, 1010, 1998, 1996, 2034, 2000, 2022, 2856, 2011, 2032, 1517, 2348, 2002, 2106, 2061, 2104, 1996, 13881, 2577, 9482, 1010, 10712, 2000, 11598, 1996, 2143, 1521, 1055, 9167, 1011, 5379, 1523, 2248, 1524, 2514, 1012, 2066, 1996, 3025, 19021, 2537, 1010, 1996, 16012, 8713, 2879, 1010, 1996, 2143, 13538, 2006, 7704, 3361, 5150, 2013, 5264, 1010, 1998, 3881, 2013, 1996, 2334, 5264, 2319, 5848, 4770, 2005, 2049, 2732, 1012, 1999, 1996, 2553, 1997, 1996, 16012, 8713, 2879, 1010, 2008, 2732, 2001, 1037, 3157, 1011, 2095, 1011, 2214, 16894, 3410, 2011, 1996, 2171, 1997, 3779, 8038, 2361, 1010, 1998, 1010, 1999, 1996, 2553, 1997, 22003, 11789, 1010, 2009, 2001, 1037, 9171, 2095, 2214, 5939, 18136, 2102, 2007, 9062, 2210, 2143, 3325, 2011, 1996, 2171, 1997, 15467, 2402, 1012, 2402, 2001, 4217, 2011, 22551, 2013, 2058, 2093, 3634, 17362, 4567, 2013, 9179, 4455, 2218, 1999, 5264, 1010, 4291, 4290, 1010, 6027, 1998, 1996, 5137, 1010, 1998, 2001, 2574, 2128, 1011, 4828, 6675, 2011, 1996, 2472, 2007, 1996, 2171, 9388, 7373, 3389, 1517, 2019, 3535, 2011, 22551, 2000, 8627, 8924, 2007, 5503, 3389, 1999, 1996, 9273, 1997, 2010, 3832, 4378, 1012, 1045, 2481, 1521, 1056, 2424, 2151, 2592, 2055, 2054, 2785, 1997, 7761, 2840, 4281, 2402, 2453, 2031, 2018, 2012, 1996, 2051, 1997, 2437, 22003, 11789, 1010, 4998, 2013, 3649, 2731, 2016, 2001, 2445, 1999, 7547, 2005, 1996, 2143, 1010, 2021, 2009, 2428, 2987, 1521, 1056, 3043, 1012, 1996, 3125, 2007, 1996, 2143, 2001, 2000, 11506, 3787, 1997, 4291, 4290, 2895, 5691, 1998, 1996, 5416, 3152, 1010, 2096, 2012, 1996, 2168, 2051, 1517, 1998, 2087, 5525, 1517, 4526, 2019, 4004, 13637, 2000, 1038, 2721, 2595, 24759, 28100, 3370, 18869, 2015, 2066, 21772, 27679, 1521, 1055, 22003, 3557, 1012, 1998, 1999, 3408, 1997, 1996, 21452, 1997, 2049, 18577, 11865, 2895, 1010, 1996, 2736, 4031, 6436, 2015, 1037, 2521, 6428, 2155, 14062, 2000, 2137, 1038, 2721, 2595, 24759, 28100, 3370, 5988, 2084, 2000, 2151, 1997, 2049, 2060, 7780, 2015, 1012, 2023, 2003, 1996, 2828, 1997, 7761, 2840, 2143, 2073, 1996, 7902, 2003, 2872, 7933, 2006, 8478, 2919, 1011, 4632, 2559, 22382, 2004, 4941, 2000, 2941, 23448, 2151, 13359, 2559, 5829, 1012, 1999, 2755, 1010, 2028, 3364, 1999, 3327, 1516, 2652, 1037, 2650, 1011, 10897, 4126, 5795, 2040, 1010, 1999, 1996, 2394, 12931, 1010, 6160, 2015, 18856, 8780, 2000, 2010, 1523, 20184, 2099, 1524, 1516, 10637, 1037, 2806, 2200, 2714, 2000, 2008, 1997, 1996, 2828, 1997, 2058, 1011, 14727, 18577, 11865, 4258, 5470, 2017, 1521, 1040, 2156, 12560, 2010, 5829, 1999, 1037, 1021, 1011, 2340, 5581, 2843, 2067, 1999, 1996, 2154, 1012, 1999, 2151, 2553, 1010, 2402, 17210, 2000, 2022, 22429, 2005, 1996, 2755, 2008, 2016, 7283, 2864, 1996, 3484, 1997, 2014, 2219, 28465, 1999, 1996, 3185, 1010, 1998, 3092, 2039, 2007, 2014, 4189, 3745, 1997, 26988, 2015, 1010, 18438, 1998, 9898, 7641, 2000, 6011, 2009, 1012, 2402, 1521, 1055, 2839, 1010, 1996, 12960, 5796, 1012, 11789, 1010, 2003, 1037, 5264, 1011, 2241, 6970, 18155, 4005, 2040, 1521, 1055, 2170, 2588, 2011, 2014, 22983, 2000, 8556, 1037, 8075, 4675, 21156, 2075, 3614, 1012, 2056, 4675, 21156, 2545, 1010, 2009, 3849, 1010, 2024, 6224, 2000, 25174, 1996, 27974, 3741, 2011, 9451, 2037, 18730, 2007, 8275, 9598, 1010, 2295, 2013, 2073, 1998, 2083, 2054, 6833, 2003, 4242, 1012, 2975, 2014, 6745, 2879, 1011, 9121, 1999, 2014, 3309, 2282, 1999, 9011, 1010, 18856, 8780, 7659, 2014, 10885, 2460, 1998, 4641, 2067, 2000, 5264, 2000, 2707, 1996, 5690, 1012, 2014, 2034, 2693, 2003, 2000, 3046, 1998, 4009, 1996, 3086, 1997, 1996, 12290, 2011, 2183, 2046, 1037, 2533, 3573, 1998, 9343, 2019, 6450, 3422, 2007, 1037, 11333, 2094, 1997, 8275, 5356, 1012, 14599, 1010, 2009, 1521, 1055, 5525, 1037, 4030, 2739, 2154, 1999, 5264, 1010, 1998, 2320, 2016, 1521, 1055, 10439, 2890, 22342, 2098, 2011, 1996, 3573, 1521, 1055, 3036, 4932, 1517, 2040, 4089, 6709, 1996, 2769, 2004, 4675, 21156, 2750, 2149, 2074, 2108, 2409, 2129, 3294, 27427, 2923, 2075, 27020, 25459, 2571, 2009, 2001, 2013, 1996, 2613, 2518, 1517, 2009, 4515, 2039, 2893, 22055, 2408, 1996, 2279, 2154, 1521, 1055, 2392, 3931, 19377, 1012, 1998, 2027, 2123, 1521, 1056, 2130, 3046, 2000, 3348, 2009, 2039, 1012, 1996, 17653, 2074, 9631, 1523, 2450, 6583, 15499, 1999, 29466, 1012, 3573, 1524, 1010, 2029, 6083, 2000, 2033, 2008, 1996, 3259, 1521, 1055, 1523, 1038, 1524, 2930, 2003, 2763, 3561, 2007, 16701, 6115, 1997, 2111, 2460, 25486, 1999, 7884, 1998, 4582, 8701, 2135, 2012, 2235, 6077, 1012, 2023, 2003, 5525, 2054, 5235, 2005, 11320, 14615, 4735, 20397, 1999, 1037, 2406, 2073, 2017, 2064, 2131, 4727, 2005, 17492, 16031, 1012, 4312, 1010, 18856, 8780, 1521, 1055, 27608, 23215, 2004, 1523, 2450, 6583, 15499, 1999, 29466, 1012, 3573, 1524, 5260, 2000, 2014, 2108, 20361, 1998, 2579, 2000, 1996, 1523, 20184, 2099, 1524, 1997, 12098, 3995, 1010, 1996, 17289, 2650, 1011, 10897, 5795, 1997, 1996, 4675, 21156, 2075, 3614, 1521, 1055, 5264, 3169, 1012, 2445, 2014, 5891, 2004, 1037, 2450, 2040, 9382, 5363, 2000, 6855, 12197, 2083, 6206, 2965, 1010, 12098, 3995, 8100, 4122, 2000, 2156, 1037, 10467, 1997, 2014, 18577, 11865, 4813, 1010, 1998, 2061, 1037, 3940, 1997, 9590, 2024, 9813, 2006, 1996, 3962, 1012, 1996, 2034, 2954, 1010, 2090, 18856, 8780, 1998, 1037, 7146, 1997, 2690, 1011, 4793, 14039, 1010, 2003, 3876, 2043, 18856, 8780, 11473, 2015, 2125, 2014, 9764, 2012, 1037, 3145, 2617, 2000, 7487, 1996, 4408, 3756, 2980, 6471, 14523, 14663, 2016, 1521, 1055, 4147, 7650, 1010, 2007, 1996, 2765, 2008, 2014, 7892, 2468, 2205, 23962, 2007, 2437, 5923, 2099, 2159, 2012, 2014, 2000, 26399, 2014, 7407, 10006, 1012, 1996, 2279, 7336, 1037, 3232, 6474, 16894, 4364, 1010, 1998, 4515, 2043, 18856, 8780, 2515, 2028, 1997, 2216, 7901, 1011, 4367, 7197, 29195, 2058, 1996, 20184, 2099, 2813, 1012, 2014, 8087, 2007, 12098, 3995, 2383, 3024, 2498, 2062, 2084, 1996, 4495, 2005, 1037, 3232, 1997, 23100, 2021, 14036, 2895, 2275, 4109, 1010, 18856, 8780, 2279, 4076, 1037, 2599, 3024, 2011, 2014, 22983, 2000, 1996, 2143, 1521, 1055, 2279, 10990, 2248, 3295, 1010, 4291, 4290, 1012, 2750, 1996, 2143, 1521, 1055, 4004, 21877, 4305, 28637, 1010, 2056, 2334, 2063, 2003, 3107, 2007, 1996, 2785, 1997, 1523, 19992, 24008, 24494, 21354, 2015, 1524, 3315, 16091, 2017, 1521, 1040, 5987, 2000, 2963, 1999, 1037, 2720, 1012, 11789, 3185, 2013, 1996, 26313, 1517, 6168, 6974, 22003, 11789, 1521, 1055, 3556, 2003, 1997, 1037, 14855, 16671, 2100, 3528, 4350, 2675, 2135, 1999, 1996, 2053, 2158, 1521, 1055, 2455, 2090, 1038, 2721, 2595, 24759, 28100, 3370, 11962, 1998, 26232, 6023, 6670, 2189, 1012, 18856, 8780, 1521, 1055, 22563, 14855, 16671, 5260, 2000, 1996, 5456, 2008, 1996, 6887, 16585, 8236, 2024, 2108, 20673, 11533, 2503, 25067, 1997, 16876, 9389, 2008, 2024, 2108, 12057, 1999, 2013, 1996, 5137, 1012, 2044, 1037, 2709, 2000, 1996, 1052, 1012, 1045, 1012, 1010, 2195, 3431, 1997, 22054, 1010, 1998, 1037, 3232, 2062, 25850, 18647, 18577, 11865, 7465, 1010, 18856, 8780, 1521, 1055, 29454, 29206, 2102, 6317, 2147, 5260, 2000, 2014, 26944, 2075, 1996, 4675, 21156, 2545, 1521, 29588, 1024, 1037, 3234, 6408, 2284, 2006, 1037, 6556, 18573, 1012, 1996, 2919, 4364, 1010, 2057, 2097, 2156, 1010, 2031, 8580, 1996, 16752, 2040, 2024, 1996, 27167, 28857, 1997, 1996, 2173, 1010, 1998, 2024, 2478, 2049, 5286, 2000, 2119, 6140, 1996, 8275, 8236, 1998, 3965, 1996, 25067, 1997, 12090, 6350, 3659, 1999, 2029, 2027, 1521, 2128, 2108, 20673, 11533, 1012, 18856, 8780, 1521, 1055, 17817, 2024, 4484, 2043, 2016, 24451, 1010, 1999, 1996, 2607, 1997, 2725, 2070, 7739, 9867, 1010, 2008, 1996, 16752, 2040, 6477, 1996, 5286, 2024, 12043, 2015, 1010, 1998, 2008, 2027, 2024, 19819, 2075, 6882, 4255, 2104, 2037, 14243, 1012, 1999, 2216, 5312, 1999, 2027, 2655, 2014, 1529, 22003, 11789, 2043, 15467, 2402, 3475, 1521, 1056, 11973, 1999, 29276, 18577, 11865, 7465, 1010, 2030, 2208, 2135, 4488, 9055, 28465, 1010, 2009, 2064, 1521, 1056, 2022, 2056, 2008, 2016, 3599, 7641, 2039, 1996, 3898, 2007, 2014, 25869, 2964, 2050, 1998, 3348, 5574, 1012, 2023, 2003, 2025, 2000, 2360, 1010, 2174, 1010, 2008, 2016, 14087, 3739, 4498, 1012, 2009, 1521, 1055, 2074, 2008, 5106, 2003, 1037, 7199, 2659, 3145, 3739, 1012, 3452, 1045, 1521, 1040, 2360, 2008, 2016, 3310, 2408, 2004, 2108, 8242, 1998, 5622, 2912, 3468, 1010, 2295, 2008, 8605, 2006, 2026, 2112, 2453 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 3770, 2629, 1042, 1012, 10514, 9397, 1012, 14010, 1006, 2826, 1007, 6425, 1046, 1012, 9261, 1010, 3781, 1012, 1010, 10360, 1039, 1012, 9261, 1010, 23953, 1010, 1058, 1012, 2142, 2163, 1997, 2637, 1010, 13474, 1012, 2053, 1012, 3938, 1011, 26226, 1011, 5824, 2549, 2050, 1012, 2142, 2163, 2212, 2457, 1010, 1059, 1012, 1040, 1012, 2047, 2259, 1012, 2244, 2459, 1010, 2826, 1012, 1008, 13029, 8856, 2022, 22381, 3490, 1010, 29124, 1010, 13558, 5172, 1010, 10945, 1010, 6574, 2015, 1004, 29461, 19510, 2102, 1010, 7473, 1010, 10541, 1010, 1050, 1012, 1061, 1012, 1010, 2005, 23953, 1012, 7112, 1041, 1012, 5624, 1010, 1057, 1012, 1055, 1012, 29466, 1012, 1997, 3425, 1010, 4171, 4487, 2615, 1012, 1010, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 2005, 13474, 1012, 2344, 8115, 5400, 1010, 2212, 3648, 1012, 2023, 2457, 1010, 2383, 5362, 8182, 14351, 3648, 8594, 1041, 1012, 17752, 2386, 1005, 1055, 3189, 1998, 12832, 1997, 2257, 2410, 1010, 2826, 1010, 2004, 2092, 2004, 1996, 16418, 2015, 1998, 4475, 7864, 2011, 2119, 4243, 1025, 1998, 2053, 17304, 2383, 2042, 23259, 6406, 2000, 1996, 1008, 11899, 14351, 3648, 1005, 1055, 3189, 1999, 1996, 2682, 1011, 14408, 19798, 3043, 1010, 2009, 2003, 2182, 3762, 3641, 1010, 2008, 27081, 2000, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 6191, 2575, 1006, 1038, 1007, 1006, 1015, 1007, 1010, 1996, 14351, 3648, 1005, 1055, 3189, 1998, 12832, 2003, 3970, 1999, 2049, 15700, 1012, 2009, 2003, 2582, 3641, 2008, 1996, 2231, 1005, 1055, 4367, 2005, 12654, 8689, 2003, 4379, 1012, 2582, 1010, 2008, 1996, 7805, 1997, 1996, 2457, 2003, 2856, 2000, 4607, 2345, 8689, 1999, 5684, 1997, 1996, 2231, 1998, 2114, 1996, 20579, 1012, 2009, 2003, 2061, 3641, 1012, 3189, 1998, 12832, 17752, 2386, 1010, 2142, 2163, 14351, 3648, 1012, 1999, 2023, 2553, 1010, 23953, 6148, 2000, 9765, 7361, 1996, 2231, 2013, 9334, 7773, 2029, 2024, 4914, 2135, 2349, 1010, 9177, 2008, 2027, 13538, 2006, 1996, 9413, 20793, 3560, 6040, 1997, 2019, 25760, 7904, 1012, 2005, 1996, 4436, 2275, 5743, 2917, 1010, 2009, 2003, 6749, 2008, 12654, 8689, 2022, 4379, 2000, 1996, 2231, 1012, 2023, 3043, 2001, 3615, 2000, 1996, 2104, 5332, 19225, 2011, 1996, 10189, 1012, 2957, 1046, 1012, 8115, 5400, 2000, 2963, 1998, 3189, 2006, 13474, 1005, 1055, 4367, 2005, 12654, 8689, 1010, 27081, 2000, 2654, 1057, 1012, 1055, 1012, 1039, 1012, 1073, 6191, 2575, 1006, 1038, 1007, 1006, 1015, 1007, 1006, 1038, 1007, 1012, 1996, 2206, 17367, 1996, 2104, 5332, 19225, 1005, 1055, 3818, 9556, 1998, 11433, 2005, 1996, 22137, 1997, 1996, 4367, 1012, 8866, 1999, 10388, 2007, 2334, 3627, 2423, 1010, 1996, 2231, 6406, 1037, 4861, 1997, 6151, 2483, 29462, 8866, 2004, 2112, 1997, 2049, 4367, 2005, 12654, 8689, 1012, 23953, 1010, 2174, 1010, 3478, 2000, 14037, 2007, 2334, 3627, 2423, 1012, 2144, 23953, 2031, 2025, 9530, 13181, 26686, 13474, 1005, 1055, 4861, 1010, 1996, 3430, 8866, 2275, 5743, 1999, 2008, 4861, 2024, 8357, 4914, 2005, 5682, 1997, 2023, 4367, 1012, 3627, 2423, 1010, 2334, 3513, 1997, 1996, 2530, 2212, 1997, 2047, 2259, 1012, 2023, 4848, 2001, 6406, 2104, 1073, 6356, 19317, 1997, 1996, 4722, 6599, 3642, 2000, 8980, 3318, 7773, 1998, 3037, 6884, 2000, 2022, 29411, 5067, 2011, 1996, 25760, 2005, 1996, 4171, 2086, 3301, 2083, 3196, 1012, 20579, 6425, 1046, 1012, 9261, 1010, 3781, 1012, 2003, 2019, 4905, 1010, 1998, 20579, 10360, 1039, 1012, 9261, 2003, 2010, 2564, 1012, 1999, 2037, 2434, 2433, 9645, 2692, 2005, 4171, 2095, 3150, 1010, 23953, 3555, 1037, 3279, 1997, 1002, 2676, 1010, 24030, 2005, 2019, 5211, 1999, 1037, 5386, 2124, 2004, 1000, 10171, 2940, 9228, 1000, 1006, 1000, 1048, 3270, 1000, 1007, 1012, 1996, 23953, 3555, 1037, 2139, 16256, 1997, 1002, 2382, 1010, 14989, 1999, 3245, 2005, 2023, 5386, 1010, 1998, 1997, 1002, 4720, 1010, 3156, 1999, 3301, 2005, 2178, 5386, 3279, 1012, 1996, 4722, 6599, 2326, 3525, 15727, 2098, 2122, 5651, 1010, 2004, 2092, 2004, 1996, 5651, 2005, 3261, 1998, 3196, 1012, 2006, 2258, 1020, 1010, 3118, 1010, 1996, 9261, 1005, 2363, 1037, 15201, 5060, 1997, 18888, 2005, 1996, 2095, 3150, 1010, 5517, 2008, 23953, 12232, 2019, 3623, 1997, 4171, 2005, 2008, 2095, 1999, 1996, 3815, 1997, 1002, 2184, 1010, 5345, 2509, 1012, 2023, 5060, 1997, 18888, 2001, 2241, 3952, 2588, 1996, 2440, 4487, 12002, 8261, 6651, 1997, 1996, 3279, 23953, 2018, 3555, 2005, 1048, 3270, 1006, 18079, 1005, 1056, 4654, 1012, 1037, 1010, 4987, 2000, 13474, 1005, 1055, 20336, 1999, 2490, 1997, 4367, 2005, 12654, 8689, 1010, 8875, 1023, 1007, 1012, 23953, 2059, 22527, 1996, 2142, 2163, 4171, 2457, 2005, 1037, 2417, 15141, 22311, 3508, 1997, 2023, 18888, 1010, 6815, 2008, 1996, 25760, 4487, 12002, 8261, 6651, 1997, 2037, 1002, 2676, 1010, 24030, 2139, 16256, 8800, 2000, 1048, 3270, 2001, 9413, 20793, 3560, 1012, 2006, 2255, 2861, 1010, 3118, 1010, 2023, 9964, 2001, 7219, 2004, 4895, 7292, 2135, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 2015, 1012, 1038, 1004, 1039, 1007, 1012, 2006, 2089, 2184, 1010, 3106, 1010, 1996, 25760, 14155, 1996, 1002, 2184, 1010, 5345, 2509, 4171, 18888, 1006, 4606, 3037, 1007, 2114, 1996, 23953, 2005, 3150, 1012, 23953, 2059, 6406, 1037, 2433, 9645, 2692, 2595, 1010, 13266, 1057, 1012, 1055, 1012, 3265, 3318, 4171, 2709, 2005, 3150, 1010, 16726, 2027, 3555, 2008, 2037, 4171, 7667, 1997, 1002, 2184, 1010, 5345, 2509, 2323, 2022, 4359, 2000, 1002, 1022, 1010, 4090, 2581, 1010, 5052, 21447, 2011, 1996, 25760, 1997, 1037, 2139, 16256, 2005, 23953, 1005, 2041, 1011, 1997, 1011, 4979, 22697, 2005, 1996, 5386, 1010, 2004, 2092, 2004, 1037, 2139, 16256, 2005, 1002, 6163, 2475, 2005, 3318, 2029, 2001, 2357, 2058, 2000, 2720, 1012, 9261, 1005, 2375, 3813, 1006, 2059, 20066, 2545, 2669, 1004, 2154, 1007, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1040, 1007, 1012, 2429, 2000, 2023, 2433, 9645, 2692, 2595, 1010, 23953, 2145, 12232, 2019, 3176, 1002, 1019, 1010, 21611, 1012, 2023, 2709, 2001, 5642, 2011, 1037, 3104, 3661, 2013, 20579, 6425, 9261, 1010, 2029, 3090, 1024, 2044, 2017, 2031, 2018, 2019, 4495, 2000, 11628, 1031, 1996, 13266, 2709, 1033, 1010, 1045, 3404, 2008, 2017, 2097, 2830, 1037, 8001, 3021, 1010, 2164, 1996, 12554, 1997, 3037, 12232, 1012, 8909, 1012, 1999, 1996, 12507, 1010, 1996, 25760, 2211, 2000, 11628, 23953, 1005, 3301, 1010, 3245, 1010, 3261, 1998, 3196, 1008, 14378, 5651, 2004, 2092, 1012, 2776, 1010, 2035, 2274, 2086, 2020, 2641, 2362, 1012, 2006, 2244, 2656, 1010, 3106, 1010, 23953, 3970, 2019, 3749, 2011, 1996, 25760, 2000, 7392, 2037, 3150, 2553, 2005, 21447, 1997, 1037, 2139, 16256, 1999, 1996, 3815, 1997, 2037, 2041, 1011, 1997, 1011, 4979, 11727, 1997, 1002, 1021, 1010, 3156, 8800, 2000, 1048, 3270, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1041, 1007, 1012, 23953, 2036, 3970, 1996, 25760, 3749, 2000, 7392, 2037, 3245, 4171, 2553, 2005, 2019, 21447, 1997, 1037, 1002, 2184, 1010, 2199, 2139, 16256, 2005, 2041, 1011, 1997, 1011, 4979, 11727, 1012, 2006, 2255, 2324, 1010, 3106, 1010, 1996, 25760, 2741, 1996, 23953, 1037, 3661, 21672, 2068, 2008, 2037, 4366, 2005, 7704, 19557, 18532, 4765, 1997, 2037, 3150, 3318, 4171, 14000, 2018, 2042, 3039, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1042, 1007, 1012, 10837, 2007, 2023, 2255, 2324, 1010, 3106, 3661, 2001, 1037, 2433, 5774, 1011, 1038, 1010, 3189, 1997, 3265, 3318, 4171, 7749, 3431, 1010, 10842, 21447, 1997, 1037, 2139, 16256, 2005, 23953, 1005, 2041, 1011, 1997, 1011, 4979, 5211, 1997, 1002, 1021, 1010, 3156, 2000, 1048, 3270, 1998, 1002, 6163, 2509, 2005, 2512, 1011, 6107, 9430, 1006, 8909, 1012, 1010, 4654, 1012, 1042, 1010, 1052, 1012, 1016, 1007, 1012, 1996, 2255, 2324, 1010, 3106, 3661, 4415, 3090, 1024, 1037, 7704, 19557, 18532, 4765, 2003, 3491, 2006, 1996, 3189, 10837, 1012, 1996, 3588, 5703, 2003, 2349, 1998, 3477, 3085, 3202, 1012, 1006, 8909, 1012, 1010, 4654, 1012, 1042, 1010, 1052, 1012, 1015, 1007, 1012, 2006, 1996, 2279, 3931, 1010, 1996, 22334, 7123, 3090, 2008, 1996, 7667, 2005, 3150, 2052, 2022, 4359, 2011, 1002, 1018, 1010, 5139, 2549, 2004, 1037, 2765, 1997, 1996, 19037, 1010, 2021, 2006, 2178, 2240, 2009, 29411, 3090, 2008, 2045, 2018, 2042, 1037, 1002, 1018, 1010, 5139, 2549, 1000, 2058, 4502, 25219, 3372, 1012, 1000, 2009, 2003, 2023, 9413, 20793, 3560, 4861, 1010, 2081, 2093, 3134, 2044, 1996, 4093, 2001, 3530, 2588, 1010, 2008, 23953, 11160, 2588, 2005, 2037, 4366, 2008, 2035, 1997, 1996, 14000, 17707, 2013, 1996, 4093, 2323, 2022, 19557, 3064, 1012, 2006, 2281, 1015, 1010, 3106, 1010, 23953, 2772, 2433, 3938, 2575, 1010, 1000, 5494, 3820, 2006, 2345, 9128, 5266, 3563, 5609, 1010, 1000, 2029, 2001, 3525, 2772, 2011, 1996, 25760, 2006, 2285, 1020, 1010, 3106, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1043, 1007, 1012, 1999, 2008, 3820, 1010, 1996, 23953, 2020, 3039, 1037, 2139, 16256, 2005, 2041, 1011, 1997, 1011, 4979, 11727, 1999, 1996, 3815, 1997, 1002, 1021, 1010, 3156, 2005, 10518, 1999, 1048, 3270, 2005, 3150, 1998, 1002, 2184, 1010, 2199, 2005, 3245, 1012, 23953, 2036, 6472, 1037, 5494, 3820, 2005, 3301, 16726, 2027, 2020, 3039, 2041, 1011, 1997, 1011, 4979, 11727, 1997, 1002, 2321, 1010, 2199, 8800, 2000, 1996, 5386, 1999, 2008, 2095, 1010, 2004, 2092, 2004, 5494, 10540, 2005, 3261, 1998, 3196, 1012, 23953, 2036, 6472, 1998, 7864, 1996, 7749, 4311, 2005, 3301, 2083, 3196, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 2015, 1012, 1045, 1011, 1049, 1007, 1012, 23953, 27481, 1010, 1998, 1996, 2231, 2515, 2025, 7593, 1010, 2008, 2027, 2020, 12064, 2135, 9449, 2011, 1996, 25760, 4005, 4137, 2000, 2037, 2553, 2008, 1996, 2561, 3465, 1997, 1996, 4093, 1010, 2164, 3037, 1010, 2052, 2022, 1002, 2676, 1010, 2199, 1012, 1031, 1015, 1033, 1999, 2755, 1010, 2012, 8700, 6685, 1010, 1996, 2231, 25729, 2005, 5682, 1997, 2023, 4367, 2008, 1996, 25760, 7904, 2012, 2070, 2391, 9449, 1996, 26457, 8700, 2135, 2008, 1996, 2561, 3815, 12232, 2052, 2022, 1002, 2676, 1010, 2199, 2005, 2035, 2274, 2086, 1012, 23953, 3825, 1996, 1002, 2676, 1010, 2199, 1010, 8929, 2008, 2023, 2052, 10663, 1996, 3043, 4498, 1012, 1999, 2251, 1997, 3069, 1010, 1996, 25760, 2741, 23953, 1037, 3021, 2005, 2019, 3176, 1002, 2260, 1010, 4805, 2629, 2005, 3150, 1012, 2023, 3815, 2001, 2241, 2006, 1996, 2434, 7667, 1997, 1002, 2184, 1010, 5345, 2509, 1010, 4606, 3037, 1010, 2625, 1996, 19557, 18532, 4765, 1997, 1002, 1018, 1010, 5139, 2549, 1998, 7978, 19557, 3064, 3037, 1012, 2006, 2244, 2423, 1010, 3069, 1010, 23953, 6406, 1037, 2117, 2433, 9645, 2692, 2595, 1010, 13266, 1057, 1012, 1055, 1012, 3265, 3318, 4171, 2709, 1010, 2005, 1996, 2086, 3301, 2083, 3196, 1010, 2029, 3090, 1999, 2566, 10196, 3372, 2112, 2004, 4076, 1006, 8909, 1012, 1010, 18079, 1005, 1056, 4654, 1012, 1044, 1007, 1024, 2012, 1996, 2051, 1996, 9261, 3876, 2037, 2553, 1010, 2027, 7303, 2013, 1996, 2326, 1037, 17208, 1997, 1996, 4171, 1998, 3037, 2349, 2005, 2035, 2274, 2086, 1010, 2029, 2001, 3155, 1002, 2676, 1010, 2199, 1010, 1998, 3825, 2023, 3815, 3188, 2000, 1996, 2203, 1997, 3106, 1012, 1999, 3069, 1010, 1996, 9261, 2020, 11925, 2011, 2023, 2326, 7175, 3176, 8310, 9382, 12232, 2005, 3150, 1010, 3261, 1998, 3196, 1012, 2027, 2018, 3825, 1996, 3176, 8310, 2005, 3261, 1998, 3196, 1012, 1996, 3815, 9382, 12232, 2005, 3150, 2003, 1999, 23873, 1012, 1996, 8310, 9382, 12232, 2005, 3150, 1010, 3261, 1998, 3196, 2024, 1999, 9987, 1997, 2216, 8310, 2029, 1996, 9261, 2020, 2409, 2052, 2022, 12232, 2043, 2027, 3876, 1996, 2553, 1012, 1996, 6835, 5860, 2890, 9739, 5666, 2003, 2028, 2029, 2001, 2580, 2011, 1996, 2326, 1012, 1996, 6254, 2029, 1996, 9261, 2772, 2005, 3150, 3065, 2008, 2019, 2058, 4502, 25219, 3372, 2003, 2349, 2068, 1999, 1996, 3815, 1997, 1002, 1018, 1010, 5139, 2549, 1012, 1996, 2326, 2085, 2035, 24746, 2015, 2008, 2019, 3815, 1999, 9987, 1997, 1002, 2260, 1010, 2199, 2003, 1999, 2755, 12232, 2005, 2008, 2095, 1012, 1008, 7558, 2023, 2001, 2025, 1996, 4861, 2081, 2011, 1996, 2326, 2000, 1996, 9261, 2012, 1996, 2051, 2008, 2027, 3876, 1012, 2612, 1010, 2027, 2020, 9449, 2011, 1996, 2326, 2008, 1996, 5658, 24081, 2052, 2765, 1999, 2019, 2058, 4502, 25219, 3372, 1999, 3150, 1997, 1002, 1018, 1010, 5139, 2549, 1010, 2004, 2003, 7686, 1999, 1996, 4987, 3189, 6052, 2184, 1013, 2459, 1013, 5594, 1012, 6594, 23953, 2085, 4366, 2008, 2027, 2020, 10572, 2000, 4607, 2046, 5494, 10540, 2007, 1996, 4722, 6599, 2326, 2005, 1996, 2086, 3301, 2083, 3196, 2241, 2006, 28616, 2890, 28994, 19304, 2015, 2011, 1996, 25760, 2004, 2000, 1996, 2561, 3815, 2349, 2104, 1996, 4093, 3820, 2007, 4847, 2000, 1996, 2086 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1026, 1029, 20950, 2544, 1027, 1000, 1015, 1012, 1014, 1000, 17181, 1027, 1000, 21183, 2546, 1011, 1022, 1000, 1029, 1028, 1026, 8278, 1028, 1026, 999, 1011, 1011, 8278, 1011, 5942, 14181, 2243, 1009, 1016, 1012, 2260, 1011, 1011, 1028, 1026, 999, 1011, 1011, 8278, 1011, 5942, 11382, 9148, 9148, 28682, 1014, 1012, 1014, 1011, 1011, 1028, 1026, 999, 1011, 1011, 8278, 1011, 10324, 1011, 3343, 2327, 20414, 2884, 1011, 6123, 8787, 1011, 1011, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 2243, 11101, 5004, 1000, 8909, 1027, 1000, 5733, 18319, 3070, 6924, 15660, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 12398, 1035, 9381, 1000, 1028, 17422, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 12398, 1035, 4578, 1000, 1028, 5539, 1026, 1013, 3200, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 25509, 3085, 1000, 8909, 1027, 1000, 2795, 2487, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3675, 1035, 9381, 1000, 1028, 1020, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1050, 1035, 10281, 1000, 1028, 1019, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1050, 1035, 7753, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 5930, 1035, 12403, 6129, 1000, 1028, 1020, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 5216, 1035, 12403, 6129, 1000, 1028, 1020, 1026, 1013, 3200, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2629, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 5080, 2828, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 28613, 16206, 3672, 1000, 8909, 1027, 1000, 12139, 2487, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 10023, 3366, 28689, 4263, 1000, 8909, 1027, 1000, 26236, 13699, 25879, 2953, 2487, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 1013, 2775, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2575, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 4435, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2581, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 3417, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 2828, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 20014, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 2828, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 4435, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 2358, 2099, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 4435, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 5080, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 2358, 2099, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 5080, 1035, 2171, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 10790, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2620, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 2944, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 14181, 26086, 8671, 1000, 8909, 1027, 1000, 3830, 2683, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 11475, 16206, 1000, 1028, 1015, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3830, 1000, 9099, 20051, 3085, 1027, 1000, 2748, 1000, 1028, 3677, 1024, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1060, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 1061, 1035, 7047, 1000, 1028, 14181, 2243, 1035, 6039, 1026, 1013, 3200, 1028, 1026, 1013, 14743, 1028, 1026, 1013, 2775, 1028, 1026, 2775, 1028, 1026, 4874, 2465, 1027, 1000, 24540, 18274, 16429, 11636, 1000, 8909, 1027, 1000, 2944, 1035, 25025, 1000, 1028, 1026, 3200, 2171, 1027, 1000, 5710, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2064, 1035, 3579, 1000, 1028, 2995, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2951, 1035, 2828, 1000, 1028, 2358, 2099, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2944, 1035, 17961, 1000, 1028, 2944, 1026, 1013, 3200, 1028, 1026, 1013, 4874, 1028, 1026, 14743, 1028, 1026, 3200, 2171, 1027, 1000, 2187, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2157, 1035, 22476, 1000, 1028, 1018, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 2327, 1035, 22476, 1000, 1028, 1016, 1026, 1013, 3200, 1028, 1026, 3200, 2171, 1027, 1000, 3953, 1035, 22476, 1000, 1028, 1017, 1026, 1013, 3200, 1028 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 10061, 1024, 1064, 2057, 2817, 2972, 4972, 3005, 5717, 2015, 1998, 2028, 1011, 2685, 4682, 2006, 5664, 10713, 3001, 1997, 9938, 1012, 2236, 9259, 2006, 2122, 9938, 2024, 4663, 1012, 1999, 3327, 1010, 2057, 2265, 2008, 1996, 5717, 2015, 1998, 2028, 1011, 2685, 2064, 4682, 2006, 2048, 2367, 3210, 2069, 2005, 17718, 23671, 28175, 1998, 27258, 4972, 1012, 2512, 1011, 20610, 4973, 1997, 2972, 4972, 2007, 5717, 2015, 1998, 2028, 1011, 2685, 2006, 2367, 9938, 2024, 3833, 1010, 2478, 1996, 18716, 9575, 2005, 2117, 2344, 7399, 11658, 11380, 1012, 23794, 2230, 1024, 2382, 2094, 11387, 1010, 2382, 2094, 19481, 1010, 4090, 2213, 12740, 1010, 2382, 2094, 2692, 2629, 1012, 3145, 22104, 1024, 2972, 3853, 1010, 15255, 2135, 5500, 3643, 1010, 7399, 2135, 5500, 3643, 1010, 3643, 4353, 1010, 7399, 11658, 8522, 1010, 18716, 9575, 1010, 17435, 28283, 22311, 7666, 1012, 3166, 1024, 1011, 1005, 4787, 15214, 22384, 1010, 16971, 9413, 21382, 16107, 1031, 1034, 1015, 1033, 1002, 1032, 1025, 1002, 1998, 6614, 2080, 7632, 8950, 9126, 2368, 1005, 2516, 1024, 2972, 4972, 2007, 2048, 15255, 2135, 5500, 5300, 1011, 1011, 1011, 4955, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 5717, 2015, 1997, 2019, 2972, 3853, 2064, 2022, 12098, 16313, 19848, 6588, 4137, 1010, 2021, 1999, 2236, 2028, 3685, 23911, 1996, 3653, 9581, 8449, 1997, 2048, 5300, 1031, 1030, 11265, 2615, 1033, 1012, 2144, 2023, 2147, 1997, 11265, 6212, 4115, 2532, 1010, 2536, 4072, 3785, 2029, 1996, 4520, 1997, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 2442, 13225, 2020, 2179, 1025, 2156, 1010, 1041, 1012, 1043, 1012, 1010, 1031, 1030, 11472, 10830, 1025, 1030, 14548, 26006, 5654, 1025, 1030, 20472, 1033, 1012, 4661, 2019, 23807, 3037, 1010, 2122, 3785, 2024, 7882, 2000, 2491, 3399, 1031, 1030, 1038, 2140, 1025, 1030, 2022, 1025, 1030, 1041, 1033, 1012, 1999, 2023, 3259, 2057, 2817, 1996, 21304, 4292, 2043, 1996, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 10713, 2135, 2116, 9938, 1010, 2030, 2024, 2485, 2000, 10713, 2135, 2116, 9938, 1012, 2057, 4088, 2011, 21195, 2070, 4556, 3463, 1012, 1996, 2773, 1523, 4097, 1524, 1999, 2023, 3259, 2097, 2467, 2812, 1037, 4097, 2013, 1996, 4761, 1012, 2005, 2019, 2972, 3853, 1002, 1042, 1002, 1010, 2057, 2360, 2008, 1037, 3643, 1002, 1037, 1002, 2003, 1031, 1008, 15255, 2135, 5500, 1008, 1033, 1063, 1065, 2065, 1996, 2275, 1002, 1042, 1034, 1063, 1011, 1015, 1065, 1006, 1037, 1007, 1002, 2003, 4838, 1999, 1996, 2586, 1997, 10713, 2135, 2116, 9938, 1012, 1031, 1006, 1037, 1012, 3968, 2890, 2072, 1031, 1030, 3968, 2099, 1033, 1007, 1033, 1063, 1065, 6814, 2008, 2035, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 2024, 5500, 2006, 1037, 10713, 2275, 1997, 9938, 1010, 1998, 2292, 1002, 1032, 14827, 1002, 2022, 1996, 10479, 6466, 2090, 2122, 9938, 1012, 2059, 1996, 2344, 1997, 1002, 1042, 1002, 2003, 2012, 2087, 1002, 1032, 14255, 1013, 1032, 14827, 1002, 1012, 1031, 1006, 1045, 1012, 1050, 1012, 6243, 1031, 1030, 8670, 1033, 1010, 1056, 1012, 28930, 1031, 1030, 12849, 2497, 1033, 1007, 1033, 1063, 1065, 6814, 2008, 2035, 5717, 2015, 1997, 1037, 9099, 23865, 21050, 2972, 3853, 1002, 1042, 1002, 4682, 2006, 1037, 2240, 1002, 1048, 1035, 1015, 1002, 1998, 2035, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1037, 2367, 2240, 1002, 1048, 1035, 1016, 1002, 5903, 2000, 1002, 1048, 1035, 1015, 1002, 1012, 2059, 1002, 1042, 1006, 1062, 1007, 1027, 1052, 1006, 1041, 1034, 1063, 17207, 1065, 1007, 1002, 2007, 2070, 1002, 1037, 1032, 1999, 1032, 1039, 1002, 1998, 1037, 17505, 1002, 1052, 1002, 1012, 2057, 13711, 1996, 9872, 1997, 6243, 1998, 28930, 2007, 1996, 2206, 2765, 1012, 1032, 1031, 16215, 2213, 2487, 1032, 1033, 6814, 2008, 2035, 5717, 2015, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 4682, 2006, 1037, 2240, 1002, 1048, 1035, 1015, 1002, 1998, 2035, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1037, 2367, 2240, 1002, 1048, 1035, 1016, 1002, 27294, 1002, 1048, 1035, 1015, 1002, 1012, 2059, 1002, 1042, 1002, 2003, 2593, 1997, 1996, 2433, 1002, 1042, 1006, 1062, 1007, 1027, 1041, 1034, 1063, 17207, 1009, 1038, 1065, 1002, 2030, 1002, 1042, 1006, 1062, 1007, 1027, 1015, 1011, 1041, 1034, 1063, 17207, 1009, 1038, 1065, 1002, 1010, 2030, 1037, 17505, 1997, 3014, 2012, 2087, 1002, 1016, 1002, 1012, 2004, 1037, 2522, 28402, 5649, 2057, 6855, 2008, 2065, 1996, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 4682, 2006, 2048, 5664, 9938, 1010, 2059, 1002, 1042, 1002, 2003, 1037, 17505, 1997, 3014, 2012, 2087, 1002, 1016, 1002, 1012, 2009, 2003, 9487, 2008, 2045, 2024, 2512, 1011, 20610, 4973, 1997, 2972, 4972, 3005, 5717, 2015, 4682, 2006, 1996, 3893, 4097, 1998, 2035, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 2048, 9938, 2008, 2024, 2025, 4838, 1999, 1996, 2613, 2240, 1012, 1032, 1031, 16215, 2213, 2475, 1032, 1033, 2005, 2296, 16109, 1002, 1049, 1032, 16216, 4160, 1017, 1002, 1010, 2045, 6526, 2019, 2972, 3853, 1002, 1042, 1002, 1997, 2344, 1002, 1015, 1013, 1016, 1009, 1015, 1013, 1049, 1002, 3005, 5717, 2015, 2024, 3893, 1998, 3005, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1996, 2048, 9938, 1002, 1032, 2187, 1032, 1063, 1062, 1032, 16844, 1032, 12098, 2290, 1062, 1027, 1032, 7610, 1016, 1032, 14255, 1013, 1006, 1049, 1009, 1016, 1007, 1032, 2157, 1032, 1065, 1002, 1012, 9872, 1032, 1031, 16215, 2213, 2487, 1032, 1033, 12748, 2008, 2107, 4972, 2079, 2025, 4839, 2005, 1002, 1049, 1027, 1016, 1002, 1012, 2635, 1002, 1042, 1006, 1062, 1034, 1050, 1007, 1002, 2057, 6855, 2019, 2972, 3853, 3005, 5717, 2015, 4682, 2006, 1002, 1050, 1002, 9938, 1998, 3005, 1002, 1015, 1002, 1011, 2685, 4682, 2006, 1002, 1016, 2078, 1002, 9938, 5664, 2013, 2216, 9938, 2073, 1996, 5717, 2015, 4682, 1012, 2085, 2057, 9483, 1996, 4650, 2008, 1996, 5717, 2015, 1998, 1002, 1015, 1002, 1011, 2685, 2024, 15255, 2135, 5500, 1012, 2057, 2224, 1996, 3115, 14869, 1997, 1996, 3399, 1997, 2972, 1998, 21442, 28503, 4972, 1031, 1030, 2175, 1033, 1012, 2292, 1002, 1002, 1037, 1027, 1032, 2502, 15569, 1035, 1063, 1046, 1027, 1015, 1065, 1034, 1050, 1037, 1035, 1046, 1010, 1032, 17718, 1037, 1035, 1046, 1027, 1032, 1063, 8915, 1034, 1063, 1045, 1032, 6541, 1035, 1046, 1065, 1032, 16844, 1056, 1032, 16216, 4160, 1014, 1032, 1065, 1010, 1032, 17718, 1014, 1032, 3393, 4160, 1032, 6541, 1035, 1015, 1032, 25510, 12868, 1026, 1032, 6541, 1035, 1050, 1026, 1016, 1032, 14255, 1010, 1002, 1002, 2022, 1037, 10713, 2586, 1997, 9938, 1012, 2005, 1002, 1032, 13075, 13699, 27572, 2239, 1028, 1014, 1002, 2292, 1002, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1002, 2022, 1996, 2586, 1997, 1996, 11105, 1002, 1002, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1027, 1032, 2502, 15569, 1035, 1063, 1046, 1027, 1015, 1065, 1034, 1050, 1032, 1063, 1062, 1032, 16844, 1064, 1032, 12098, 2290, 1062, 1011, 1032, 6541, 1035, 1046, 1064, 1026, 1032, 13075, 13699, 27572, 2239, 1032, 1065, 1012, 1002, 1002, 2057, 2360, 2008, 1996, 1002, 1037, 1002, 1011, 2685, 1997, 2019, 2972, 3853, 1002, 1042, 1002, 2024, 1031, 1008, 2485, 1008, 1033, 1063, 1065, 2000, 1996, 2275, 1002, 1037, 1002, 2065, 1010, 2005, 2296, 1002, 1032, 13075, 13699, 27572, 2239, 1028, 1014, 1002, 1010, 2057, 2031, 1002, 1002, 1050, 1006, 1054, 1010, 1032, 1039, 1032, 10457, 27067, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1010, 1037, 1010, 1042, 1007, 1027, 1051, 1006, 1032, 8833, 1049, 1006, 1054, 1007, 1007, 1010, 1032, 17718, 1054, 1032, 2000, 1032, 1999, 6199, 2100, 1010, 1002, 1002, 2073, 1996, 2187, 2192, 2217, 2003, 1996, 2193, 1997, 1002, 1037, 1002, 1011, 2685, 1999, 1002, 1032, 1063, 1062, 1032, 1999, 1032, 1039, 1032, 10457, 27067, 1037, 1035, 1032, 13075, 13699, 27572, 2239, 1032, 16844, 1064, 1062, 1064, 1032, 3393, 4160, 1054, 1032, 1065, 1002, 1998, 1002, 1049, 1006, 1054, 1007, 1027, 1032, 4098, 1032, 1063, 1064, 1042, 1006, 1062, 1007, 1064, 1032, 16844, 1064, 1062, 1064, 1032, 3393, 4160, 1054, 1032, 1065, 1002, 1012, 2256, 2279, 2765, 5936, 1996, 3663, 2043, 1996, 5717, 2015, 2024, 2485, 2000, 1037, 10713, 2586, 1997, 9938, 1002, 1037, 1002, 1998, 1996, 1002, 1015, 1002, 1011, 2685, 2024, 2485, 2000, 1037, 10713, 2586, 1997, 9938, 1002, 1038, 1002, 1010, 2073, 1996, 4520, 1002, 1037, 1002, 1998, 1002, 1038, 1002, 2024, 4487, 2015, 5558, 18447, 1010, 4237, 2013, 1996, 4761, 1012, 2057, 2097, 7868, 2008, 1996, 2291, 1997, 9938, 1002, 1037, 1032, 2452, 1038, 1002, 2003, 1031, 1008, 10124, 1008, 1033, 1063, 1065, 2003, 1996, 3168, 2008, 2005, 2296, 4097, 1002, 1032, 1063, 1056, 1041, 1034, 1063, 1045, 1032, 6541, 1065, 1032, 16844, 1056, 1032, 16216, 4160, 2692, 1032, 1065, 1032, 16745, 1037, 1032, 2452, 1038, 1002, 2045, 2003, 1037, 5537, 1002, 1006, 1062, 1035, 1047, 1007, 1002, 25069, 2000, 1002, 1032, 1999, 6199, 2100, 1002, 2107, 2008, 1002, 1042, 1006, 1062, 1035, 1047, 1007, 1032, 1999, 1032, 1063, 1014, 1010, 1015, 1032, 1065, 1002, 2005, 2035, 1002, 1047, 1002, 1998, 1002, 1032, 12098, 2290, 1062, 1035, 1047, 1032, 2000, 1032, 6541, 1002, 2004, 1002, 1047, 1032, 2000, 1032, 1999, 6199, 2100, 1002, 1012, 1032, 1031, 16215, 2213, 2509, 1032, 1033, 2292, 1002, 1042, 1002, 2022, 1037, 9099, 23865, 21050, 2972, 3853, 1997, 2344, 1002, 1032, 1054, 6806, 1026, 1032, 1999, 6199, 2100, 1002, 3005, 5717, 2015, 2024, 2485, 2000, 1002, 1037, 1002, 1998, 3005, 1002, 1015, 1002, 1011, 2685, 2024, 2485, 2000, 1002, 1038, 1002, 1010, 2007, 1002, 1037, 1032, 6178, 1038, 1027, 1032, 1063, 1014, 1032, 1065, 1002, 1012, 6814, 2008, 1996, 2291, 1002, 1037, 1032, 2452, 1038, 1002, 2003, 10124, 1012, 2059, 1002, 1002, 1032, 3830, 1063, 14255, 8462, 3654, 1065, 1032, 1054, 6806, 1027, 1032, 25312, 2278, 1063, 1032, 14255, 1065, 1063, 1032, 14827, 1065, 1028, 1032, 25312, 2278, 12521, 1010, 1002, 1002, 2073, 1002, 1032, 14827, 1002, 2003, 1996, 1031, 1008, 2922, 1008, 1033, 1063, 1065, 6466, 2090, 5516, 9938, 1999, 1002, 1037, 1032, 2452, 1038, 1002, 1010, 1998, 2045, 6526, 1037, 2291, 1997, 9938, 1002, 1039, 1027, 1032, 2502, 15569, 1035, 1063, 1046, 1027, 1015, 1065, 1034, 1063, 1016, 2213, 1065, 1039, 1035, 1046, 1032, 16745, 1037, 1032, 2452, 1038, 1002, 1010, 2007, 1002, 1049, 1032, 16216, 4160, 1015, 1002, 1010, 13571, 2075, 1996, 4946, 2046, 1002, 1016, 2213, 1002, 11105, 1002, 1055, 1035, 1046, 1002, 2107, 2008, 1002, 1032, 7704, 1055, 1035, 1046, 1027, 1039, 1035, 1046, 1032, 2452, 1039, 1035, 1063, 1046, 1009, 1015, 1065, 1002, 2005, 1002, 1015, 1032, 3393, 4160, 1046, 1032, 3393, 4160, 1016, 2213, 1011, 1015, 1002, 1998, 1002, 1032, 7704, 1055, 1035, 1063, 1016, 2213, 1065, 1027, 1039, 1035, 1063, 1016, 2213, 1065, 1032, 2452, 1039, 1035, 1015, 1002, 1010, 2007, 1996, 2206, 5144, 1024, 1002, 1006, 1045, 1007, 1002, 1996, 6466, 1997, 1002, 1055, 1035, 1046, 1002, 2012, 1002, 1014, 1002, 2003, 1002, 1032, 14255, 1013, 1032, 1054, 6806, 1002, 2043, 1002, 1046, 1002, 2003, 2130, 1010, 1998, 2012, 2087, 1002, 1032, 14255, 1013, 1032, 1054, 6806, 1002, 2043, 1002, 1046, 1002, 2003, 5976, 1012, 1002, 1006, 2462, 1007, 1002, 2119, 6192, 9938, 1997, 2019, 5976, 4753, 7141, 2000, 1996, 2168, 2275, 1010, 1002, 1037, 1002, 2030, 1002, 1038, 1002, 1012, 1002, 1006, 3523, 1007, 1002, 2045, 2024, 2053, 9938, 1997, 1002, 1037, 1032, 2452, 1038, 1002, 2503, 1996, 2130, 11105, 1012, 1002, 1006, 4921, 1007, 1002, 2065, 2045, 2024, 9938, 1997, 1002, 1037, 1002, 2503, 2019, 5976, 4753, 1010, 2059, 1996, 6192, 9938, 1997, 2023, 4753, 7141, 2000, 1002, 1038, 1002, 1012, 2065, 2045, 2024, 9938, 1997, 1002, 1038, 1002, 2503, 2019, 5976, 4753, 1010, 2059, 1996, 6192, 9938, 1997, 2023, 4753, 7141, 2000, 1002, 1037, 1002, 1012, 1002, 1006, 1058, 1007, 1002, 2065, 2045, 2024, 2053, 9938, 1997, 1002, 1037, 1032, 2452, 1038, 1002, 1999, 2019, 5976, 4753, 1010, 2059, 2049, 3098, 6466, 2003, 1002, 1032, 14255, 1013, 1032, 1054, 6806, 1002, 1012, 1996, 2279, 2765, 1516, 3005, 6947, 2057, 2097, 2069, 11080, 1516, 3065, 2008, 9872, 1032, 1031, 16215, 2213, 2509, 1032, 1033, 2003, 2190, 2825, 1012, 1032, 1031, 16215, 2213, 2549, 1032, 1033, 2292, 1002, 1037, 1002, 1998, 1002, 1038, 1002, 2022, 3001, 1997, 9938, 1010, 17087, 3785, 1002, 1006, 1045, 1007, 1002, 1516, 1002, 1006, 1058, 1007, 1002, 1997, 9872, 1002, 1032, 25416, 1063, 16215, 2213, 2509, 1065, 1002, 2005, 2070, 1002, 1032, 1054, 6806, 1032, 1999, 1006, 1014, 1010, 1032, 1999, 6199, 2100, 1007, 1002, 1012, 2059 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4281, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 17626, 1997, 21083, 4953, 1996, 16221, 1011, 11852, 14442, 2005, 12702, 16846, 13348, 2618, 8386, 2003, 2025, 2467, 9398, 2349, 2000, 15982, 3431, 1010, 2164, 7403, 5835, 18278, 2015, 1998, 4748, 4328, 18413, 5397, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1007, 1010, 1998, 4989, 2012, 5799, 4573, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1010, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1007, 1012, 1999, 5688, 2000, 15982, 6194, 1010, 2029, 7461, 1996, 2972, 13458, 1010, 4989, 5748, 2012, 3563, 4573, 3378, 2007, 6887, 16515, 23186, 12955, 1010, 2107, 2004, 2590, 20155, 18275, 8840, 6895, 1006, 1053, 19646, 2015, 1007, 1998, 4018, 9165, 1012, 4989, 3727, 2049, 8085, 1999, 1996, 10381, 21716, 27642, 4655, 4193, 1996, 4573, 1010, 2073, 6022, 4359, 2030, 8319, 3798, 1997, 7403, 8386, 2064, 2022, 5224, 2012, 5799, 8699, 8840, 6895, 1012, 2947, 1010, 4989, 2025, 2069, 13531, 1996, 3479, 4573, 2021, 2036, 5799, 8699, 8840, 6895, 1998, 1996, 24629, 1997, 4989, 3772, 2006, 3563, 8360, 8840, 6895, 2064, 2022, 11156, 2011, 8991, 4140, 22571, 2075, 26572, 18078, 12702, 16846, 13348, 4570, 1999, 1996, 5516, 2512, 1011, 16861, 4655, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 2367, 7778, 4725, 2031, 2042, 2764, 2000, 6709, 2041, 14355, 8840, 6895, 2104, 1996, 3747, 1997, 4989, 1032, 1031, 1031, 1030, 1038, 2575, 1033, 1011, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1998, 17241, 2031, 2042, 4692, 2000, 5335, 1996, 2434, 4725, 1997, 24992, 12162, 2378, 1998, 1047, 16555, 21126, 1032, 1031, 1031, 1030, 29491, 2549, 1033, 1032, 1033, 1010, 2029, 2031, 2042, 6367, 2138, 1997, 2037, 14639, 2000, 2313, 3252, 1998, 2381, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1007, 1012, 6600, 1010, 3522, 2913, 2031, 3491, 5399, 20316, 3463, 4663, 2011, 11243, 1996, 2682, 7778, 5852, 2000, 1996, 2168, 2951, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1010, 1031, 1030, 29491, 2475, 1033, 1010, 1031, 1030, 29491, 2575, 1033, 1010, 1031, 1030, 29491, 2581, 1033, 1032, 1033, 1007, 1012, 1996, 24992, 12162, 2378, 1011, 1047, 16555, 21126, 3231, 1032, 1031, 1031, 1030, 29491, 2549, 1033, 1032, 1033, 2003, 1996, 4587, 1997, 2122, 4800, 4135, 7874, 1011, 7831, 4725, 1012, 13644, 4092, 1010, 2122, 4725, 2024, 5173, 2011, 2478, 2028, 1997, 1996, 2048, 2236, 8107, 6851, 2917, 1012, 1996, 2034, 3921, 2003, 2000, 4503, 4725, 2007, 24992, 12162, 2378, 1998, 1047, 16555, 21126, 2015, 1032, 1005, 2434, 2801, 1998, 2000, 2224, 1996, 4353, 1997, 10035, 1997, 7403, 20582, 19064, 1008, 1042, 1008, 1066, 2358, 1066, 1998, 8906, 11709, 2013, 3265, 7403, 8840, 6895, 2000, 11487, 1996, 3896, 1997, 4989, 1010, 2182, 10354, 3334, 12061, 1996, 1008, 1042, 1008, 1066, 2358, 1066, 1011, 2241, 3921, 1010, 2107, 2004, 1996, 1042, 10521, 2102, 2565, 1011, 2241, 4118, 1032, 1031, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1010, 3016, 25253, 26237, 1032, 1031, 1031, 1030, 29491, 2475, 1033, 1032, 1033, 1010, 1998, 2313, 1011, 3563, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1032, 1033, 4725, 1012, 8040, 7317, 28495, 14544, 1998, 8628, 2031, 3818, 4522, 4800, 4135, 7874, 12504, 1011, 2241, 5852, 2008, 2224, 12654, 6747, 2060, 2084, 1008, 1042, 1008, 1066, 2358, 1066, 1010, 2107, 2004, 1996, 1048, 2078, 27634, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1010, 1996, 1048, 2078, 1054, 2232, 1032, 1031, 1031, 1030, 1038, 2575, 1033, 1032, 1033, 1010, 1998, 1996, 1048, 2078, 1054, 29725, 1032, 1005, 1032, 1031, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 5852, 1012, 2122, 5852, 9125, 6195, 1996, 2801, 1997, 1037, 1032, 1005, 13228, 11740, 1032, 1005, 2008, 18653, 2013, 3019, 1998, 7976, 4989, 1010, 1998, 3522, 7403, 15800, 5533, 2011, 1996, 13228, 11740, 2681, 1037, 2501, 2030, 1032, 1000, 7403, 8085, 1032, 1000, 1999, 1996, 13458, 5266, 1996, 3479, 4573, 1998, 2037, 5799, 8699, 8840, 6895, 1012, 2445, 2008, 12702, 16846, 13348, 2618, 8840, 6895, 3378, 2007, 1037, 3522, 13228, 11740, 11234, 2013, 1996, 6893, 1997, 1996, 13458, 1010, 2027, 2024, 3517, 2000, 2991, 2648, 1996, 4353, 1997, 8699, 10035, 1997, 1048, 2078, 27634, 1010, 1048, 2078, 1054, 2232, 2030, 1048, 2078, 1054, 29725, 1032, 1005, 5300, 1012, 2004, 8182, 2011, 1032, 1031, 1031, 1030, 29491, 2620, 1033, 1011, 1031, 1030, 1038, 11387, 1033, 1032, 1033, 1010, 2035, 1996, 4725, 2031, 4022, 12637, 1998, 4009, 12221, 1010, 2029, 2064, 2022, 2349, 2000, 2367, 10318, 17568, 4953, 1996, 15982, 1998, 16221, 2389, 4275, 2006, 2029, 2027, 2024, 2241, 1010, 2004, 2092, 2004, 2006, 12503, 3378, 2007, 1996, 15873, 2791, 1997, 1996, 8107, 1012, 1996, 3522, 3445, 11343, 1997, 2312, 8991, 22026, 2951, 4520, 1998, 1996, 8720, 1997, 1037, 2261, 9165, 2030, 8840, 6895, 2004, 1996, 7889, 1997, 4968, 3370, 2030, 4745, 7403, 7620, 1999, 7125, 2031, 9100, 1996, 4812, 1997, 1996, 8991, 22026, 3896, 1997, 4989, 1012, 4018, 9165, 1998, 1053, 19646, 2031, 2042, 2649, 2006, 2119, 18411, 27717, 1032, 1031, 1031, 1030, 1038, 17465, 1033, 1011, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 1998, 18411, 2050, 2322, 1032, 1031, 1031, 1030, 1038, 23833, 1033, 1032, 1033, 1012, 2006, 18411, 27717, 1010, 1996, 1008, 8554, 1008, 4962, 1010, 7356, 2011, 2048, 2035, 26741, 1024, 1008, 1052, 1008, 1006, 26847, 1007, 7444, 2058, 1008, 1044, 1008, 1006, 7109, 1007, 1010, 2003, 3625, 2005, 1996, 26847, 1006, 1045, 1012, 1041, 1012, 7109, 3238, 1007, 1998, 7109, 6887, 16515, 13874, 2015, 1999, 7125, 1998, 2038, 2042, 13532, 2000, 2119, 3019, 1998, 7976, 4989, 1012, 10870, 3802, 2632, 1012, 1032, 1031, 1031, 1030, 1038, 17465, 1033, 1032, 1033, 2031, 7645, 7403, 4957, 4270, 2090, 1996, 1008, 8554, 1008, 4962, 1998, 2048, 12702, 16846, 13348, 4570, 1010, 1008, 13938, 18155, 2140, 1011, 1015, 1008, 1998, 1008, 13938, 18155, 2140, 1011, 1016, 1008, 1012, 2122, 8840, 6895, 2024, 19962, 6528, 2594, 2000, 1996, 3811, 19995, 4962, 2005, 3565, 28479, 4487, 6491, 13210, 3366, 1015, 1006, 1008, 2061, 2094, 2487, 1008, 1007, 1012, 1999, 2804, 1010, 1999, 2536, 15910, 1996, 1008, 8554, 1008, 4962, 2038, 2042, 2179, 2000, 2022, 5799, 2000, 1996, 12702, 16846, 13348, 4570, 1008, 1056, 23296, 2050, 26224, 1008, 1010, 1008, 12943, 2721, 16576, 1008, 1010, 1008, 1999, 2527, 17465, 2475, 1008, 1998, 1008, 10556, 2361, 2620, 1008, 1010, 2284, 1999, 1996, 18120, 25531, 2555, 1997, 18411, 27717, 2485, 2000, 1996, 1008, 2061, 2094, 2487, 1008, 25206, 1032, 1031, 1031, 1030, 1038, 19317, 1033, 1010, 1031, 1030, 1038, 21926, 1033, 1010, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 1012, 2000, 3058, 1010, 2006, 18411, 2050, 11387, 2195, 1053, 19646, 1998, 4018, 9165, 2031, 2042, 2988, 1041, 1012, 1043, 1012, 3930, 18714, 1998, 4013, 2721, 6593, 2378, 10769, 9165, 1032, 1031, 1031, 1030, 1038, 22907, 1033, 1032, 1033, 12473, 23758, 3370, 1998, 6501, 2537, 12955, 1010, 2107, 2004, 2303, 5995, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1032, 1033, 1007, 1010, 20904, 4063, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 24594, 1033, 1032, 1033, 1007, 1010, 20904, 4063, 14449, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 14142, 1033, 1032, 1033, 1007, 1010, 6501, 10750, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 21486, 1033, 1032, 1033, 1007, 1010, 6638, 7017, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1032, 1033, 1007, 1010, 1998, 2926, 5250, 4180, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 22407, 1033, 1011, 1031, 1030, 1038, 14142, 1033, 1032, 1033, 1007, 1012, 1999, 2023, 2817, 2006, 1008, 8945, 2015, 19982, 7946, 1008, 1010, 2057, 2556, 12702, 16846, 13348, 2618, 2951, 2478, 1037, 4659, 3469, 2193, 1997, 8840, 6895, 2084, 3130, 2988, 1010, 2029, 3701, 2443, 1996, 2382, 12702, 16846, 13348, 2618, 16387, 6749, 2011, 1996, 2248, 2554, 2005, 4111, 14471, 1006, 18061, 2290, 1007, 1013, 2833, 1998, 5237, 3029, 1997, 1996, 2142, 3741, 1006, 6904, 2080, 1007, 2551, 2177, 1006, 1041, 1012, 1043, 1012, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1010, 1031, 1030, 1038, 18827, 1033, 1032, 1033, 1025, 2021, 2156, 2036, 1032, 1031, 1031, 1030, 1038, 16703, 1033, 1032, 1033, 1007, 1012, 2426, 1996, 4868, 12702, 16846, 13348, 4570, 8991, 26305, 2094, 2006, 2184, 4387, 7125, 7080, 1997, 2367, 7321, 1006, 3128, 1998, 2715, 3293, 1007, 1998, 7109, 3570, 2229, 1006, 26847, 1998, 26808, 1007, 1999, 1996, 2642, 3700, 1997, 1996, 23399, 26125, 1010, 2698, 2020, 2006, 18411, 27717, 1998, 2385, 2006, 18411, 2050, 11387, 1012, 2057, 4162, 2176, 5852, 2000, 11487, 8382, 16442, 1997, 4989, 1010, 7478, 2013, 5852, 2005, 8840, 6895, 2408, 7080, 1998, 1996, 3728, 3818, 3940, 14244, 2313, 5852, 2478, 1037, 8790, 3973, 10426, 2193, 1997, 5799, 12702, 16846, 13348, 4570, 1032, 1031, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1012, 2057, 4102, 1996, 18700, 1997, 1996, 2367, 21083, 5852, 2800, 2000, 6709, 8840, 6895, 2104, 4989, 1999, 1996, 2167, 23399, 7125, 7080, 10847, 2182, 1012, 4475, 1998, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2313, 8168, 1998, 7403, 16387, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 12702, 16846, 13348, 2618, 2951, 2013, 2184, 2367, 7125, 1006, 1008, 8945, 2015, 19982, 7946, 1008, 1007, 7080, 2164, 4029, 2575, 3633, 2020, 16578, 1012, 6983, 7080, 2020, 3421, 2011, 6983, 1037, 12541, 7430, 1006, 2715, 3293, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2871, 1007, 1010, 6983, 18864, 1011, 22201, 2937, 1006, 2715, 3293, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2871, 1007, 1010, 2789, 9303, 11266, 9286, 1006, 3128, 1010, 3262, 26847, 1010, 1008, 1050, 1008, 1027, 2861, 1007, 1010, 2530, 9303, 11266, 9286, 1006, 3128, 1010, 3262, 26847, 1010, 1008, 1050, 1008, 1027, 4261, 1007, 1010, 1998, 2642, 9303, 11266, 9286, 1006, 3128, 1010, 3262, 26847, 1010, 1008, 1050, 1008, 1027, 2656, 1007, 1012, 2057, 2020, 2583, 2000, 28937, 1996, 21770, 10624, 9096, 3995, 4588, 3570, 2012, 1996, 1008, 8554, 1008, 25206, 1999, 2539, 6887, 16515, 27086, 2135, 26847, 7125, 1997, 1996, 2093, 6983, 3128, 7080, 1010, 2006, 1996, 3978, 1997, 2037, 13195, 1013, 6687, 6887, 16515, 13874, 2015, 1012, 1999, 2804, 1010, 2045, 2020, 2539, 4176, 26808, 1006, 28290, 3512, 24004, 9096, 3995, 4588, 1007, 1999, 1996, 6983, 3128, 7080, 1012, 21541, 20891, 2078, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2871, 1007, 1010, 8038, 5283, 10772, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 4868, 1007, 1010, 1998, 1047, 18884, 22844, 2854, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 3590, 1007, 7125, 2020, 18925, 1999, 3607, 1012, 5969, 4462, 1006, 3128, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 2382, 1007, 1998, 5695, 3933, 1006, 2715, 3293, 1010, 26808, 1010, 1008, 1050, 1008, 1027, 4464, 1007, 2020, 18925, 1999, 5924, 1998, 5842, 1010, 4414, 1012, 2076, 7099, 3074, 1010, 1996, 21877, 4305, 28637, 2592, 1998, 1996, 28822, 2386, 1032, 1005, 1055, 3716, 2020, 2109, 2000, 5676, 1996, 4176, 2020, 15142, 1012, 3176, 2592, 2006, 2122, 7080, 2038, 2042, 2988, 1999, 3025, 5523, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1010, 1031, 1030, 1038, 22394, 1033, 1032, 1033, 1012, 8991, 26305, 2015, 1997, 1996, 4868, 12702, 16846, 13348, 4570, 2020, 2109, 1006, 2005, 4751, 2006, 1996, 12702, 16846, 13348, 4570, 1010, 2156, 1032, 1031, 1031, 1030, 1038, 22394, 1033, 1011, 1031, 1030, 1038, 19481, 1033, 1032, 1033, 1007, 2426, 2029, 2951, 1997, 1996, 2382, 16387, 2013, 1996, 5997, 1997, 8840, 6895, 6749, 2005, 7403, 8906, 2913, 1999, 7125, 1026, 8299, 1024, 1013, 1013, 7479, 1012, 3934, 1012, 20996, 22908, 1012, 9353, 1012, 2866, 1013, 3729, 12848, 1013, 16387, 1012, 16129, 1028, 2020, 2579, 2013, 1996, 3906, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 1996, 2603, 12702, 16846, 13348, 4570, 1006, 2538, 2047, 3924, 1998, 2048, 2013, 1996, 6749, 5997, 1007, 2006, 18411, 27717, 1998, 18411, 2050, 11387, 2020, 4217, 2006, 1996, 3978, 1997, 2037, 9884, 2000, 9165, 1998, 1053, 19646, 1010, 2029, 2071, 2022, 2641, 2004, 4018, 8840, 6895, 2005, 4989, 2138, 1997, 2037, 5071, 6624, 1999, 1996, 26847, 1013, 26808, 6887, 16515, 13874, 1032, 1031, 1031, 1030, 1038, 19317, 1033, 1032, 1033, 1998, 1999 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1019, 1011, 9800, 12740, 1008, 1054, 1008, 1008, 1018, 1009, 14989, 1008, 1054, 1008, 1008, 1017, 1011, 24622, 2683, 11387, 2475, 1008, 1054, 1008, 1008, 1016, 1011, 1021, 1029, 1011, 3438, 1008, 1054, 1008, 1008, 1016, 1011, 24568, 16048, 2692, 1008, 1054, 1009, 6445, 2475, 2424, 1996, 2117, 13819, 1997, 4583, 20842, 24434, 12521, 2581, 1008, 1053, 1008, 1008, 1017, 1009, 11816, 18827, 23499, 2575, 1008, 1053, 1009, 1019, 23277, 2102, 1053, 1012, 24426, 15136, 19317, 2581, 2575, 2475, 1008, 1053, 2424, 1996, 2353, 13819, 1997, 1011, 25797, 22394, 2683, 1008, 1048, 1008, 1008, 1018, 1008, 1054, 1009, 1016, 1008, 1048, 1008, 1008, 1017, 1011, 2184, 1008, 1048, 1008, 1008, 1016, 1008, 1054, 1011, 1016, 1008, 1048, 1008, 1008, 1016, 1009, 23944, 1008, 1048, 1008, 1054, 1009, 1016, 1008, 1048, 1011, 4261, 1008, 1054, 23277, 2102, 1048, 1012, 1011, 3963, 16048, 17134, 2575, 1008, 1048, 1008, 1054, 1009, 2260, 2054, 2003, 1996, 2117, 13819, 1997, 2385, 1008, 1058, 1008, 1008, 1017, 1009, 5764, 23632, 16068, 1008, 1058, 1008, 1008, 1016, 1011, 5388, 17465, 2475, 1008, 1058, 1009, 1023, 23277, 2102, 1058, 1029, 5986, 1008, 1058, 1009, 14078, 2620, 21926, 2692, 2424, 1996, 2117, 13819, 1997, 5354, 22025, 22932, 20958, 1008, 1055, 1008, 1008, 1018, 1011, 29562, 1008, 1055, 1011, 21777, 16048, 23277, 2102, 1055, 1012, 6390, 23833, 17134, 14142, 2549, 1008, 1055, 1008, 1008, 1016, 21032, 1011, 6036, 2575, 1008, 1062, 1008, 1008, 1016, 1011, 16710, 1008, 1062, 1009, 6163, 2620, 2683, 17788, 2475, 1012, 1011, 22343, 2475, 1008, 1062, 1011, 16710, 21032, 5764, 12376, 15136, 1008, 1047, 1008, 1008, 1018, 1008, 1061, 1009, 1019, 1008, 1047, 1008, 1008, 1016, 1008, 1061, 1008, 1008, 1016, 1009, 1047, 1008, 1061, 1009, 6079, 2487, 1008, 1061, 1008, 1008, 1016, 1011, 1016, 1008, 1061, 1009, 14506, 23277, 2102, 1047, 1012, 25162, 8889, 2581, 2475, 1008, 1047, 1008, 1008, 1017, 1008, 1061, 1009, 2184, 1008, 1047, 1008, 1061, 1008, 1008, 1016, 1009, 1061, 2054, 2003, 1996, 2034, 13819, 1997, 14168, 2683, 24087, 2620, 19481, 1008, 1039, 1011, 14078, 18139, 2620, 19317, 2475, 23277, 2102, 1039, 1029, 14168, 2683, 24087, 2620, 19481, 2054, 2003, 1996, 2117, 13819, 1997, 19711, 17914, 1008, 1062, 1008, 1008, 1018, 1011, 3963, 2581, 2620, 1008, 1062, 1008, 1008, 1016, 1009, 5764, 21472, 2620, 21619, 2509, 1008, 1062, 23277, 2102, 1062, 1029, 25717, 2581, 16086, 1008, 1062, 1008, 1008, 1016, 1011, 15471, 26976, 2424, 1996, 2353, 13819, 1997, 6191, 2620, 23833, 1008, 1040, 1008, 1008, 1020, 1011, 12875, 1008, 1040, 1008, 1008, 1018, 1009, 19627, 2683, 2575, 2581, 23833, 2683, 1008, 1040, 1008, 1008, 1016, 1012, 6146, 28154, 12521, 2692, 1008, 1040, 1008, 1008, 1017, 1011, 2753, 12740, 1008, 1040, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 4878, 2581, 1008, 1050, 1008, 1008, 1016, 1008, 1052, 1008, 1008, 1016, 1009, 1017, 1008, 1050, 1008, 1008, 1016, 1008, 1052, 1011, 1016, 1008, 1050, 1008, 1008, 1016, 1009, 3486, 1008, 1050, 1008, 1052, 1009, 26267, 1008, 1050, 1009, 6079, 22610, 1008, 1052, 1008, 1008, 1016, 1009, 1052, 1009, 26953, 23277, 2102, 1052, 1029, 1011, 4229, 17788, 2549, 1008, 1050, 1008, 1008, 1016, 1009, 13092, 2683, 2549, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 17422, 16576, 2575, 2683, 2683, 2581, 1008, 1057, 1008, 1008, 1017, 1011, 3438, 1008, 1057, 1009, 25113, 19317, 2629, 23277, 2102, 1057, 1029, 1011, 21611, 10790, 2575, 16147, 2620, 2475, 1008, 1057, 2424, 1996, 2353, 13819, 1997, 1011, 17365, 22610, 24434, 19317, 1008, 1056, 1008, 1008, 1018, 1009, 2403, 1008, 1056, 1008, 1008, 1016, 1009, 24709, 1008, 1056, 1009, 6079, 2575, 2683, 23277, 2102, 1056, 1012, 1011, 4229, 23352, 21619, 2683, 16703, 2620, 1008, 1056, 2424, 1996, 2034, 13819, 1997, 1011, 1018, 1008, 1040, 1008, 1008, 1016, 1008, 1049, 1008, 1052, 1009, 27954, 2487, 1008, 1040, 1008, 1008, 1016, 1008, 1052, 1011, 5786, 1008, 1040, 1008, 1008, 1016, 1011, 4185, 1008, 1040, 1008, 1049, 1008, 1052, 1009, 5764, 1008, 1040, 1008, 1049, 1009, 1016, 1008, 1040, 1008, 1052, 1009, 1016, 1008, 1049, 23277, 2102, 1049, 1012, 1011, 1018, 1008, 1040, 1008, 1008, 1016, 1008, 1052, 1011, 4185, 1008, 1040, 1008, 1052, 1009, 5764, 1008, 1040, 1009, 1016, 2424, 1996, 2353, 13819, 1997, 4601, 1008, 1048, 1008, 1008, 1019, 1008, 1051, 1008, 1008, 1016, 1011, 6275, 20842, 2692, 1008, 1048, 1008, 1008, 1017, 1008, 1051, 1008, 1008, 1017, 1009, 2603, 1008, 1048, 1008, 1008, 1016, 1008, 1051, 1008, 1008, 1017, 1009, 1019, 1008, 1048, 1008, 1051, 1008, 1008, 1017, 1011, 3770, 2581, 2487, 1008, 1048, 1008, 1051, 23277, 2102, 1048, 1012, 22376, 2692, 1008, 1048, 1008, 1008, 1016, 1008, 1051, 1008, 1008, 1016, 1011, 4700, 21486, 16086, 1008, 1051, 1008, 1008, 1017, 2424, 1996, 2117, 13819, 1997, 13029, 1008, 1056, 1008, 1062, 1008, 1008, 1017, 1011, 2484, 1008, 1056, 1008, 1062, 1008, 1008, 1016, 1011, 1056, 1008, 1062, 1009, 2184, 1008, 1056, 1011, 1016, 1008, 1062, 1008, 1008, 1017, 1011, 4466, 1008, 1062, 1008, 1008, 1016, 1011, 2184, 1008, 1062, 1009, 6564, 2549, 23277, 2102, 1062, 1012, 6146, 2475, 1008, 1056, 1008, 1062, 1011, 4466, 1008, 1056, 1011, 2260, 1008, 1062, 1011, 5986, 21032, 6584, 1008, 1048, 1008, 1008, 1016, 1008, 1049, 1008, 1008, 1016, 1009, 12457, 1008, 1048, 1008, 1008, 1016, 1008, 1049, 1011, 4805, 24434, 1008, 1048, 1008, 1049, 1009, 1018, 1008, 1049, 1008, 1008, 1016, 1011, 6191, 2620, 15136, 16932, 2683, 2007, 4847, 2000, 1048, 1012, 19492, 1008, 1048, 1008, 1049, 1008, 1008, 1016, 1009, 22238, 1008, 1048, 1008, 1049, 1011, 4805, 24434, 1008, 1049, 2054, 2003, 1996, 2353, 13819, 1997, 12904, 2692, 26224, 21057, 22394, 1008, 1061, 1008, 1008, 1020, 1011, 4466, 2575, 2683, 21057, 21057, 2692, 1008, 1061, 1008, 1008, 1016, 1029, 16621, 17788, 2683, 2620, 2620, 23499, 16086, 1008, 1061, 1008, 1008, 1017, 2054, 2003, 1996, 2117, 13819, 1997, 4805, 1008, 1044, 1008, 1008, 1017, 1008, 1056, 1008, 1008, 1016, 1008, 1060, 1009, 5018, 21084, 1008, 1044, 1008, 1008, 1017, 1008, 1056, 1008, 1008, 1016, 1009, 5401, 1008, 1044, 1008, 1008, 1017, 1008, 1056, 1011, 1016, 1008, 1044, 1008, 1008, 1017, 1011, 1023, 1008, 1044, 1008, 1008, 1016, 1008, 1056, 1009, 1044, 1008, 1060, 1009, 1022, 1008, 1060, 1009, 1015, 23277, 2102, 1056, 1029, 6227, 1008, 1044, 1008, 1008, 1017, 1008, 1060, 1009, 19123, 22407, 1008, 1044, 1008, 1008, 1017, 2054, 2003, 1996, 2117, 13819, 1997, 4720, 2575, 18827, 2692, 2683, 1008, 1055, 1008, 1008, 1017, 1009, 20263, 21472, 2620, 2509, 1008, 1055, 1029, 22904, 2581, 22932, 27009, 1008, 1055, 2424, 1996, 2034, 13819, 1997, 1011, 4008, 18827, 2581, 2683, 2575, 2683, 1008, 1060, 1011, 6079, 26224, 2620, 2620, 14142, 23277, 2102, 1060, 1012, 1011, 4008, 18827, 2581, 2683, 2575, 2683, 21032, 1011, 9645, 20842, 2683, 19841, 1008, 1052, 1011, 16087, 25746, 23833, 2581, 2007, 4847, 2000, 1052, 1012, 1011, 9645, 20842, 2683, 19841, 2054, 2003, 1996, 2117, 13819, 1997, 4464, 1008, 1037, 1008, 1008, 1017, 1008, 1049, 1011, 2403, 1008, 1037, 1008, 1008, 1017, 1011, 24441, 1008, 1037, 1008, 1008, 1016, 1008, 1049, 1011, 1017, 1008, 1037, 1008, 1008, 1016, 1011, 4601, 2575, 2683, 1008, 1037, 1008, 1049, 1009, 1021, 1008, 1049, 1009, 4261, 23277, 2102, 1037, 1029, 22018, 1008, 1037, 1008, 1049, 1011, 6391, 1008, 1037, 1011, 4720, 2475, 1008, 1049, 1011, 1020, 2424, 1996, 2117, 13819, 1997, 24231, 1008, 1053, 1008, 1008, 1019, 1011, 17405, 2575, 1008, 1053, 1008, 1008, 1018, 1011, 1020, 1008, 1053, 1008, 1008, 1017, 1011, 20304, 2620, 21486, 2683, 2475, 1008, 1053, 1012, 5139, 12740, 1008, 1053, 1008, 1008, 1017, 1011, 24398, 2581, 2475, 1008, 1053, 1008, 1008, 1016, 1011, 4029, 1008, 1053, 2054, 2003, 1996, 2353, 13819, 1997, 4720, 26187, 27531, 19317, 2549, 1008, 1047, 1008, 1008, 1020, 1009, 21679, 2509, 1008, 1047, 1008, 1008, 1016, 1011, 19540, 1008, 1047, 1011, 3943, 23277, 2102, 1047, 1029, 6191, 16147, 2692, 19317, 2575, 2620, 17914, 1008, 1047, 1008, 1008, 1017, 2424, 1996, 2353, 13819, 1997, 1011, 4601, 2575, 2620, 16068, 1008, 1040, 1008, 1008, 1018, 1009, 2484, 1008, 1040, 1008, 1008, 1017, 1011, 5401, 1008, 1040, 1008, 1008, 1016, 1009, 19015, 28154, 2549, 1012, 1011, 6694, 19481, 16086, 1008, 1040, 1009, 14748, 2424, 1996, 2353, 13819, 1997, 1011, 5179, 2575, 22407, 18613, 2575, 1008, 1060, 1008, 1008, 1017, 1009, 9402, 2581, 2581, 2683, 26187, 1008, 1060, 1008, 1008, 1016, 1011, 1023, 23277, 2102, 1060, 1012, 1011, 28977, 2581, 2575, 20842, 2692, 21619, 2054, 2003, 1996, 2034, 13819, 1997, 1011, 16333, 2692, 2683, 2683, 2620, 2581, 2683, 1008, 1057, 1009, 15017, 17134, 17465, 2581, 2487, 1029, 1011, 16333, 2692, 2683, 2683, 2620, 2581, 2683, 2424, 1996, 2034, 13819, 1997, 1011, 16734, 1008, 1042, 1008, 1008, 1016, 1008, 1062, 1011, 9645, 2692, 2575, 2683, 2620, 22610, 1008, 1042, 1008, 1008, 1016, 1009, 1016, 1008, 1042, 1008, 1062, 1009, 1042, 1011, 11176, 2575, 2581, 2620, 1008, 1062, 23277, 2102, 1062, 1012, 1011, 16734, 1008, 1042, 1008, 1008, 1016, 1009, 1016, 1008, 1042, 1011, 11176, 2575, 2581, 2620, 2424, 1996, 2117, 13819, 1997, 22649, 21926, 27531, 2581, 1008, 1040, 1008, 1044, 1008, 1008, 1016, 1011, 4868, 27814, 19841, 2683, 2620, 1008, 1040, 1008, 1044, 23277, 2102, 1044, 1012, 23908, 22610, 2581, 16932, 1008, 1040, 2054, 2003, 1996, 2117, 13819, 1997, 9645, 2683, 2581, 2581, 1008, 1055, 1008, 1008, 1017, 1011, 3486, 1008, 1055, 1008, 1008, 1016, 1009, 8165, 2575, 12521, 2475, 1008, 1055, 1029, 5786, 2683, 20842, 2475, 1008, 1055, 1011, 3963, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 1016, 1008, 1061, 1008, 1008, 1018, 1011, 11816, 16048, 21472, 2629, 1008, 1061, 1008, 1008, 1017, 1009, 1016, 1008, 1061, 1008, 1008, 1016, 1011, 3118, 2692, 22025, 18139, 1008, 1061, 23277, 2102, 1061, 1029, 1011, 2484, 1008, 1061, 1008, 1008, 1016, 1011, 15028, 2692, 2683, 2620, 2581, 21057, 1008, 1061, 1009, 1018, 2054, 2003, 1996, 2034, 13819, 1997, 7886, 17134, 2692, 2620, 2683, 1008, 1043, 1008, 1008, 1017, 1011, 6146, 20842, 24096, 2629, 23277, 2102, 1043, 1029, 19988, 23499, 23833, 2581, 1008, 1043, 1008, 1008, 1016, 2054, 2003, 1996, 2117, 13819, 1997, 22431, 16932, 24096, 1008, 1042, 1008, 1008, 1017, 1011, 23785, 12740, 1008, 1042, 1009, 2459, 1029, 13741, 22407, 12740, 2575, 1008, 1042, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 5139, 2620, 2620, 21926, 17465, 2629, 1008, 1046, 1008, 1008, 1016, 1009, 23980, 2581, 16048, 16932, 1008, 1046, 1011, 2385, 23277, 2102, 1046, 1029, 1011, 11518, 2581, 21084, 21084, 14142, 2054, 2003, 1996, 2353, 13819, 1997, 1011, 19594, 2575, 17914, 2683, 2620, 1008, 1058, 1008, 1008, 1017, 1009, 1016, 1008, 1058, 1008, 1008, 1016, 1009, 6486, 23632, 24594, 2549, 1008, 1058, 1029, 1011, 14506, 8889, 27531, 2620, 2620, 2424, 1996, 2353, 13819, 1997, 4029, 1008, 1059, 1008, 1060, 1008, 1008, 1017, 1009, 14748, 2620, 2683, 1008, 1059, 1008, 1060, 1008, 1008, 1016, 1011, 24622, 2575, 2509, 1008, 1060, 1008, 1008, 1017, 1009, 4261, 23277, 2102, 1060, 1012, 20294, 1008, 1059, 1011, 10011, 2581, 2620, 2054, 2003, 1996, 13819, 1997, 9402, 10790, 16932, 1008, 1044, 1008, 1008, 1016, 1011, 4029, 2683, 23499, 22394, 2475, 1029, 19627, 11387, 22407, 1008, 1044, 2424, 1996, 2034, 13819, 1997, 26995, 21084, 2549, 1008, 1039, 1008, 1008, 1017, 1008, 1045, 1009, 1039, 1008, 1008, 1017, 1011, 1016, 1008, 1045, 1011, 7287, 17134, 2620, 2683, 23277, 2102, 1039, 1012, 4868, 24087, 2683, 16703, 1008, 1039, 1008, 1008, 1016, 1008, 1045, 1009, 1017, 1008, 1039, 1008, 1008, 1016, 2054, 2003, 1996, 2034, 13819, 1997, 20335, 2620, 15136, 16576, 1008, 1043, 1011, 8732, 22932, 22907, 2475, 23277, 2102, 1043, 1029, 20335, 2620, 15136, 16576, 2054, 2003, 1996, 2353, 13819, 1997, 14078, 23833, 16703, 2683, 1008, 1045, 1008, 1008, 1020, 1011, 5585, 28154, 21926, 2683, 1008, 1045, 1008, 1008, 1016, 1029, 17696, 2581, 16068, 2683, 18139, 2692, 1008, 1045, 1008, 1008, 1017, 2424, 1996, 2353, 13819, 1997, 1011, 1016, 1008, 1046, 1008, 1008, 1017, 1008, 1061, 1008, 1008, 1016, 1009, 12567, 2692, 17914, 2620, 1008, 1046, 1008, 1008, 1017, 1008, 1061, 1011, 1016, 1008, 1046, 1008, 1008, 1017, 1009, 1022, 1008, 1046, 1008, 1008, 1016, 1008, 1061, 1008, 1008, 1016, 1009, 3429, 2620, 2620, 1008, 1046, 1008, 1061, 1008, 1008, 1016, 1011, 1016, 1008, 1046, 1008, 1061, 1011, 1016, 23277, 2102, 1046, 1012, 1011, 2260, 1008, 1061, 1008, 1008, 1016, 1009, 3963, 18827, 2620, 18139, 1008, 1061, 1011, 2260, 2054, 2003, 1996, 2117, 13819, 1997, 5388, 2581, 15136, 1008, 1038, 1008, 1008, 1016, 1008, 1045, 1008, 1008, 1016, 1011, 3770, 1008, 1038, 1008, 1008, 1016, 1011, 2570, 1008, 1038, 1008, 1045, 1008, 1008, 1016, 1009, 1021, 1008, 1038, 1009, 28058, 2620, 2620, 1008, 1045, 1008, 1008, 1016, 23277, 2102, 1038 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 18745, 1048, 6038, 23033, 4232, 1005, 1055, 9927, 9857, 1010, 1021, 2337, 2262, 1045, 2031, 3130, 2517, 2055, 1996, 7860, 1997, 22380, 2019, 7768, 2241, 4942, 21572, 20614, 1006, 2066, 1996, 2377, 7705, 1007, 2046, 1037, 3857, 2008, 2003, 4728, 5003, 8159, 2241, 1012, 2044, 2070, 2147, 2009, 2003, 2085, 2551, 2348, 1996, 2490, 5683, 1037, 2978, 21766, 21341, 5649, 1012, 2182, 2024, 1996, 11637, 2006, 2129, 2000, 2191, 2009, 2147, 5095, 1010, 2403, 2254, 2262, 2009, 2453, 4025, 2200, 4675, 29202, 2000, 2707, 2478, 6842, 1005, 1055, 20950, 4289, 2000, 6133, 6842, 5841, 2043, 2009, 2038, 2107, 1037, 2307, 4773, 8278, 1010, 2926, 2144, 2009, 2003, 1996, 4773, 8278, 2029, 2038, 2081, 6842, 2061, 3921, 3085, 1998, 3733, 2000, 2224, 1012, 2123, 1005, 1056, 2131, 2033, 3308, 1012, 1045, 2145, 2293, 1996, 4773, 8278, 1998, 2228, 2009, 2003, 1996, 2157, 2126, 2000, 2131, 2111, 2000, 2224, 1996, 6994, 1010, 2174, 1045, 2036, 2228, 2045, 3310, 1037, 2051, 2043, 2017, 2041, 16523, 5004, 1996, 4773, 8278, 1998, 2023, 2003, 2339, 1045, 2328, 1996, 3105, 16748, 8844, 6994, 1012, 2122, 2024, 1996, 5918, 1998, 3314, 2008, 3303, 2033, 2000, 2041, 16523, 5004, 1996, 4773, 8278, 1024, 6410, 3431, 2987, 1005, 1056, 4094, 2478, 1996, 4773, 8278, 2000, 2191, 3431, 2000, 3265, 5841, 2003, 2200, 3733, 1010, 2021, 2009, 2987, 1005, 1056, 2428, 4094, 2065, 2017, 2342, 2000, 2689, 1037, 2843, 1997, 5841, 2006, 1996, 2168, 2051, 1012, 2028, 2742, 2071, 2022, 5278, 1996, 21025, 2102, 3589, 2013, 1000, 3040, 1000, 2000, 1037, 2713, 3589, 2005, 2035, 1996, 5841, 3141, 2000, 1037, 4044, 1010, 2107, 1037, 2689, 2071, 9125, 14873, 1997, 2382, 5841, 1012, 2178, 2742, 2071, 2022, 2008, 2045, 2024, 3431, 2000, 1996, 4180, 1998, 1013, 2030, 3252, 1997, 1996, 5841, 1998, 2216, 2442, 2022, 17678, 16098, 3064, 2039, 2083, 1996, 10058, 1999, 26351, 2007, 2622, 3642, 1012, 2023, 2052, 2022, 2130, 2062, 6410, 3431, 1012, 6605, 2023, 2007, 6410, 3431, 1999, 1996, 4773, 19706, 13999, 1037, 2502, 3891, 2005, 2529, 7561, 1998, 4297, 5644, 27870, 14767, 1012, 6842, 5841, 2024, 3642, 2065, 2017, 2215, 2000, 2022, 2583, 2000, 21376, 1037, 3857, 2030, 10813, 2012, 1037, 2101, 2051, 2009, 2003, 2590, 2008, 2017, 2064, 2036, 21376, 1996, 6842, 5841, 1012, 1999, 2344, 2000, 2079, 2023, 2017, 2342, 2000, 3573, 1998, 2544, 2115, 6842, 3105, 22354, 1012, 2023, 2003, 8100, 2190, 2589, 1999, 1037, 8040, 2213, 2066, 21025, 2102, 2030, 4942, 27774, 1012, 2725, 2061, 2036, 3957, 2017, 1996, 5724, 2000, 2079, 21648, 2458, 1997, 2115, 5841, 1012, 5604, 1998, 2062, 2084, 2028, 6842, 6013, 1012, 2077, 2437, 3431, 2000, 1996, 5841, 2108, 8851, 2109, 1996, 3431, 2323, 8100, 2022, 7718, 4873, 1012, 2023, 5373, 2965, 4526, 1996, 2168, 2275, 1997, 5841, 4873, 2842, 2030, 9416, 2875, 1037, 2367, 4044, 1012, 2383, 1996, 5841, 4225, 2004, 23561, 2015, 3084, 2009, 3733, 2005, 1037, 9722, 2000, 7170, 1996, 5841, 2046, 1037, 2797, 6842, 6013, 2000, 7551, 2030, 3745, 2009, 2006, 1996, 5604, 6013, 1012, 3452, 1997, 2607, 6842, 2064, 2022, 3266, 3081, 1996, 4773, 8278, 1010, 2021, 2005, 2033, 2009, 2003, 2074, 2178, 3357, 1999, 1996, 19309, 1012, 5958, 1010, 2410, 2254, 2262, 1045, 2031, 2633, 2018, 1996, 3382, 2000, 4139, 2362, 1996, 2197, 3431, 2077, 13856, 1996, 2034, 2544, 1997, 1996, 6842, 3105, 8543, 6994, 1012, 1996, 2801, 2369, 1996, 6994, 2003, 2008, 2017, 2064, 4339, 2489, 10665, 2121, 2241, 23561, 2015, 1998, 11506, 2216, 2007, 5144, 4225, 1999, 1037, 1000, 13117, 1000, 12827, 1999, 2344, 2000, 9699, 6842, 1005, 1055, 3105, 9530, 8873, 2290, 1012, 20950, 6764, 1012, 2023, 2003, 3701, 6179, 2065, 2017, 5441, 1037, 2193, 1997, 2714, 5841, 1010, 2030, 2031, 1037, 2186, 1997, 5841, 2008, 2017, 2342, 2000, 20648, 2005, 3674, 10058, 1012, 1045, 2113, 2551, 2007, 6842, 1005, 1055, 20950, 6764, 3495, 2064, 4025, 4675, 29202, 2144, 2028, 1997, 6842, 1005, 1055, 2364, 20828, 2003, 2049, 3921, 8010, 1998, 3733, 2000, 2224, 4773, 8278, 1010, 2061, 2101, 2023, 2733, 1045, 2097, 2695, 1037, 2062, 1999, 5995, 9927, 2695, 9990, 2339, 1045, 4900, 2000, 2175, 2023, 2799, 1012, 2023, 11829, 2038, 2085, 2042, 4964, 1998, 1037, 2047, 2544, 1997, 1996, 2713, 13354, 2378, 2038, 2042, 2207, 1012, 2061, 2065, 2017, 10651, 1996, 2713, 13354, 2378, 2000, 2544, 1016, 1012, 1016, 1012, 1016, 1010, 6842, 1005, 1055, 5003, 8159, 2509, 8346, 2097, 2085, 2147, 2005, 7085, 2036, 1012, 2296, 3178, 21296, 1998, 3231, 1996, 6745, 5147, 3857, 25762, 2000, 16475, 1001, 1015, 2296, 2154, 21296, 1998, 3231, 1996, 6745, 25762, 2029, 2031, 2042, 5147, 7718, 1999, 16475, 1001, 1015, 2000, 16475, 1001, 1016, 2006, 5157, 2079, 1037, 5003, 8159, 2713, 1997, 1996, 6745, 25762, 2008, 2031, 2979, 5604, 1999, 16475, 1001, 1016, 1996, 24026, 2112, 1997, 2023, 13117, 3310, 1999, 1996, 16475, 1001, 1016, 4044, 2138, 2009, 3791, 1037, 2126, 2000, 7276, 1996, 6745, 25762, 2029, 2031, 2042, 7718, 1999, 16475, 1001, 1015, 2612, 1997, 2074, 1996, 6745, 25762, 2550, 1012, 1996, 2168, 3632, 2005, 2437, 1996, 2713, 1010, 1045, 2342, 2070, 2126, 2000, 6709, 2029, 25762, 2031, 2042, 7718, 5147, 1999, 16475, 1001, 1016, 1012, 2023, 2965, 1045, 3685, 11160, 2006, 2074, 8130, 1996, 6745, 20057, 12326, 7333, 2000, 1996, 4722, 22409, 1012, 2057, 2031, 2641, 2367, 7047, 1024, 10172, 1996, 20057, 12326, 2000, 1037, 4722, 22409, 1998, 4287, 2105, 1996, 2335, 15464, 2361, 1997, 1996, 3563, 20057, 12326, 2544, 1012, 2023, 2052, 3499, 2149, 2000, 9231, 2041, 1996, 2544, 1010, 2021, 3957, 2149, 1037, 3291, 2007, 12362, 2000, 9344, 2039, 15171, 20057, 12326, 2015, 2004, 26041, 2064, 2069, 2079, 2562, 1060, 2420, 2030, 1060, 4617, 1010, 2021, 2025, 6366, 1037, 2275, 1997, 25762, 2241, 2006, 1037, 2335, 15464, 2361, 1012, 2036, 2009, 2038, 1996, 12482, 5178, 1997, 2111, 11242, 2339, 2057, 2323, 2130, 2079, 5003, 8159, 8287, 2065, 2057, 2525, 2031, 1037, 4310, 8909, 4765, 18095, 1012, 1037, 2117, 3921, 2052, 2022, 2000, 2224, 1996, 1000, 6100, 25762, 1000, 6842, 3444, 1010, 2021, 2059, 1996, 2126, 2057, 2131, 25762, 2052, 2022, 2367, 2090, 16475, 1998, 1996, 3356, 10058, 1012, 1996, 3921, 2057, 2031, 3876, 2006, 2003, 2000, 2025, 21296, 1996, 20057, 12326, 2015, 2000, 1996, 26041, 16360, 2080, 1010, 2021, 2224, 1996, 6842, 5003, 8159, 22409, 13354, 2378, 1012, 2023, 13354, 2378, 14451, 2015, 2169, 3857, 2004, 2049, 2219, 22409, 1012, 1999, 2344, 2000, 2131, 1996, 2157, 25762, 2057, 2224, 1037, 7661, 10906, 1012, 20950, 2000, 5259, 1996, 20057, 12326, 22409, 2000, 1996, 24471, 2140, 1997, 1996, 3563, 3857, 2004, 6086, 2011, 1996, 6842, 13354, 2378, 1012, 2023, 13354, 2378, 2069, 2573, 2007, 2593, 1996, 5841, 5003, 8159, 1016, 5841, 2030, 1996, 2047, 5003, 8159, 1017, 8346, 1010, 2144, 2009, 16803, 2006, 6842, 4824, 1996, 3857, 1998, 1996, 25762, 1012, 2057, 2224, 1996, 3755, 16473, 13354, 2378, 2000, 6709, 1996, 6149, 3857, 1010, 1998, 2057, 2224, 1996, 4712, 3570, 2005, 3733, 4550, 2039, 1997, 2512, 2109, 25762, 1012, 2057, 4033, 1005, 1056, 2246, 2205, 2172, 2046, 2478, 26041, 4013, 1005, 1055, 2838, 2107, 2004, 15308, 16360, 20049, 29469, 2229, 2030, 5815, 27425, 1010, 2144, 1996, 2682, 3921, 2573, 7199, 2092, 2005, 2149, 1012, 1996, 2047, 4119, 1024, 1996, 3114, 2005, 3015, 2023, 2695, 1998, 4851, 2005, 2393, 2003, 1037, 2825, 2689, 2000, 2256, 2832, 2029, 1045, 2572, 2025, 2469, 2129, 2000, 2190, 17409, 1012, 2045, 2003, 1037, 4299, 2000, 17409, 1037, 6922, 1006, 2377, 15643, 6198, 2241, 4773, 29098, 1007, 3857, 2478, 7768, 2046, 2023, 7705, 1998, 4919, 2046, 2023, 2622, 1012, 1045, 2064, 2156, 2023, 4786, 2070, 8346, 20398, 15847, 1996, 2622, 2003, 2028, 2502, 5003, 8159, 4800, 11336, 2622, 1998, 2057, 9544, 2000, 2562, 2009, 2008, 2126, 1012, 2004, 1037, 2200, 2560, 2057, 2215, 2000, 2562, 2477, 2004, 2028, 3857, 1045, 1012, 1041, 2028, 6842, 3105, 2005, 2311, 1012, 2003, 2009, 2825, 2000, 2031, 1037, 5003, 8159, 4942, 5302, 8566, 2571, 13366, 2121, 7781, 2000, 7768, 1029, 2065, 2057, 2131, 1996, 6922, 2328, 2478, 7768, 2069, 1010, 2059, 6842, 2097, 2025, 2022, 2583, 2000, 2156, 1996, 9560, 2004, 1037, 5003, 8159, 16185, 7011, 6593, 1010, 1998, 2004, 2947, 2180, 2102, 2022, 2583, 2000, 14451, 2009, 2004, 2112, 1997, 1996, 1000, 22409, 2566, 3857, 1000, 1012, 2008, 2003, 2012, 2560, 2026, 2844, 10928, 1012, 2054, 2000, 2079, 1029, 2061, 2515, 3087, 2031, 1037, 15690, 2006, 2129, 2000, 10663, 2023, 1029, 2064, 2057, 4550, 2135, 17409, 7768, 2046, 2256, 2783, 3857, 1010, 2065, 2061, 2129, 1029, 2079, 2057, 2342, 2000, 2424, 2178, 3921, 2084, 2478, 1996, 1000, 22409, 2566, 3857, 1000, 13354, 2378, 1029, 2065, 2061, 1010, 2054, 2003, 1996, 4081, 4522, 1012, 2052, 26041, 1013, 20785, 10253, 3825, 6572, 2191, 2023, 6082, 1029, 2074, 2000, 2022, 3154, 2026, 5918, 2024, 1024, 2013, 1996, 2648, 2009, 2442, 3711, 2004, 2028, 3857, 1045, 1012, 1041, 1012, 2028, 6842, 3105, 1012, 2005, 1037, 9797, 15363, 3857, 2009, 2003, 3100, 2000, 2022, 1037, 4800, 3357, 2832, 2057, 2342, 2000, 2022, 2583, 2000, 20648, 1037, 3327, 3857, 2000, 21296, 1999, 16475, 1001, 1016, 1998, 2005, 8287, 1012, 2057, 2052, 2066, 2000, 3613, 1996, 2224, 1996, 3755, 16473, 13354, 2378, 2000, 5107, 4697, 2204, 16473, 9317, 1010, 2656, 2255, 2249, 2023, 2003, 1037, 3319, 1997, 15895, 5003, 8159, 1017, 5660, 8654, 2517, 2011, 1000, 5185, 24388, 2319, 1000, 1012, 1045, 2288, 1037, 2489, 6100, 2013, 5308, 2102, 4640, 2005, 1996, 3800, 1997, 1996, 3319, 1012, 1045, 2031, 2042, 2478, 5003, 8159, 2005, 2070, 2086, 2085, 1998, 2023, 2338, 2003, 1037, 23889, 2338, 1010, 2061, 2009, 2001, 3154, 2013, 1996, 2927, 2008, 1045, 2572, 2025, 1999, 1996, 4539, 4378, 1012, 1996, 2806, 1997, 14541, 1996, 2338, 2046, 2753, 19328, 3084, 2005, 1037, 2204, 4289, 2029, 2003, 3733, 2000, 3191, 1998, 7807, 1996, 2338, 2046, 2235, 10106, 2005, 1996, 8068, 1012, 2612, 1997, 7995, 9578, 2006, 2129, 5003, 8159, 2003, 26928, 1010, 1996, 3166, 5363, 2000, 5495, 2070, 1997, 1996, 5739, 2000, 4007, 2458, 6078, 1041, 1012, 1043, 1012, 5266, 26041, 1998, 6842, 2096, 9990, 2136, 5792, 1012, 2009, 4240, 1996, 2338, 2092, 2000, 2404, 5003, 8159, 2046, 1037, 2458, 7339, 1010, 2021, 2009, 2987, 1005, 1056, 2467, 4906, 2007, 1996, 17974, 4289, 1012, 2005, 6013, 1999, 1996, 26041, 2553, 2013, 2682, 1996, 1000, 2129, 2009, 2147, 1000, 2930, 4150, 2062, 1037, 1000, 2339, 2009, 2003, 2204, 1000, 2930, 1012, 1045, 2066, 1996, 2755, 2008, 1996, 2338, 4472, 1037, 2898, 2846, 1997, 2367, 2622, 4127, 1998, 7832, 1012, 2116, 2335, 2043, 2017, 3191, 14924, 26340, 2030, 2060, 12653, 2069, 1996, 21304, 2622, 4127, 2024, 3139, 2975, 1996, 8068, 2000, 5587, 13354, 7076, 2004, 2734, 1012, 2023, 2338, 4472, 2116, 2622, 4127, 1998, 7705, 1998, 2070, 2512, 1011, 9262, 2752, 1012, 2009, 2036, 4472, 2477, 2066, 4292, 2039, 26041, 1010, 6842, 1010, 2536, 8909, 2229, 1012, 2009, 2130, 2038, 1037, 2309, 3127, 2006, 13354, 2378, 2458, 1012, 1999, 1996, 2034, 3127, 1996, 2504, 1997, 2592, 1999, 2169, 17974, 2003, 6413, 1010, 2021, 2004, 1996, 9159, 2131, 2062, 3375, 1996, 2504, 1997, 2592, 2515, 2025, 1012, 2023, 3463, 1999, 2116, 1997, 1996, 19328, 2108, 2205, 21934, 24759, 6553, 1012, 1037, 3539, 2742, 1996, 2003, 2275, 1011, 2039, 1997, 6556, 16360, 20049, 29469, 2229, 1010, 2009, 5577, 1999, 2307, 2116, 3898, 7171, 2129, 2000, 16500, 3419, 11266, 1021, 1998, 21296, 26041, 1010, 2021, 2069, 2038, 1037, 2309, 2240, 1997, 2592, 2006, 2129, 2000, 2275, 1011, 2039, 1996, 6556, 22409, 1010, 4606, 2069, 9704, 1006, 19721, 1007, 5278, 1996, 10906, 1012, 20950, 1998, 2025, 1996, 3223, 3431, 2000, 1996, 2622, 4874, 2944, 1012, 2061, 2009, 11896, 2000, 2393, 1996, 8068, 9375, 1998, 2224, 1996, 6556, 22409, 2825, 2975, 1996, 8068, 2007, 1037, 3714, 2275, 1011, 2039, 2023, 21934, 24759, 6553, 3921, 2038, 2178, 2217, 3466, 1012, 1999, 2116, 1997, 1996, 19328, 2045, 2003, 3154, 6100, 1011, 19351, 1005, 2583, 4973, 2021, 2200, 2210, 7526, 1997, 2339, 2477, 2024, 1996, 2027, 2024, 1012, 2019, 2742, 2052, 2022, 1996, 2034, 17974, 2029, 8970, 4800, 1011, 11336, 3934, 1012, 1999, 1996, 2327, 2504, 2622, 6210, 1996, 12530, 15266, 2024, 2872, 1999, 1000, 1026, 24394, 24805, 21693, 4765, 1028, 1000, 2930, 2612, 1997, 1996, 3671, 1000, 1026, 12530, 15266, 1028, 1000, 2930, 2302, 2019, 7526, 1997, 2339, 1012, 7091, 1024, 2096, 1045, 2066, 1996, 2806, 1998, 2146, 2862, 1997, 7832, 3139, 1999, 2023, 2338, 1010, 1045, 2228, 1996, 3247, 2025, 1996, 4863, 1996, 4751, 1997, 2339, 2477, 2147, 2066, 2027, 2079, 1041, 1012, 1043, 1012, 1026, 12530, 15266, 1028, 5443, 1026, 24394, 24805, 21693, 4765, 1028, 2030, 2129, 16360 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2129, 1996, 2149, 3724, 4701, 2000, 2202, 2091, 1996, 11304, 3016, 1011, 22195, 2389, 16770, 1024, 1013, 1013, 22047, 3372, 19699, 25508, 1012, 4012, 1013, 2129, 1011, 1996, 1011, 2149, 1011, 3724, 1011, 4701, 1011, 2000, 1011, 2202, 1011, 2091, 1011, 1996, 1011, 11304, 1011, 3016, 1011, 28460, 12521, 1013, 1027, 1027, 1027, 1027, 1027, 1027, 2452, 1011, 1997, 1011, 5572, 1996, 9385, 3068, 2038, 2018, 2521, 2205, 2172, 2373, 2005, 2116, 2086, 2085, 1012, 2021, 2043, 1045, 2831, 2000, 2111, 2055, 2023, 6343, 14977, 1012, 2005, 2087, 2111, 1996, 3688, 1997, 2023, 3068, 2024, 2074, 1000, 4180, 1000, 2029, 2027, 2224, 2000, 5949, 2037, 2051, 2061, 1045, 6814, 2009, 3084, 3168, 2008, 2027, 2123, 1005, 1056, 2729, 2205, 2172, 2055, 2009, 1012, 1996, 10576, 2003, 2008, 1996, 9385, 3068, 7711, 1037, 2312, 1998, 14678, 3652, 2112, 1997, 2256, 3226, 1998, 2037, 2373, 2003, 2069, 4852, 1012, 1045, 2001, 2045, 2043, 1037, 2866, 2189, 27080, 2170, 1051, 19839, 1005, 1055, 5061, 4186, 2001, 3844, 2091, 1012, 1996, 2610, 18784, 1996, 2188, 1997, 1996, 2609, 3954, 2077, 6440, 1998, 2130, 1996, 2188, 1997, 2010, 2269, 2040, 2018, 2053, 2801, 2054, 2010, 2365, 2001, 2039, 2000, 1012, 9385, 3068, 4898, 2626, 1996, 2739, 3720, 1010, 6815, 2009, 2001, 1000, 5186, 21115, 1000, 1998, 2443, 20296, 2107, 2004, 1000, 2306, 1037, 2261, 2847, 1997, 1037, 2759, 3653, 1011, 2713, 2650, 2108, 6866, 2006, 1996, 1051, 19839, 2609, 1010, 5606, 1997, 4809, 2064, 2022, 2179, 1000, 1012, 1996, 2609, 1005, 1055, 3954, 2001, 2179, 2025, 5905, 1999, 2457, 2195, 2086, 2101, 1010, 2021, 2025, 2077, 1996, 9385, 3068, 7687, 9868, 2010, 2166, 1012, 2021, 2129, 2515, 2023, 4148, 1029, 2065, 2017, 2831, 2000, 2087, 2111, 2027, 2123, 1005, 1056, 3305, 9385, 2012, 2035, 1012, 2027, 2228, 2009, 1005, 1055, 2070, 2785, 1997, 21598, 3570, 2008, 2017, 2031, 2000, 3477, 2005, 1010, 2066, 1037, 11749, 2030, 2242, 1012, 2087, 2111, 2024, 2025, 2130, 5204, 2008, 2027, 2907, 9385, 2015, 1012, 1998, 2339, 2052, 2027, 1029, 2064, 1996, 2779, 2711, 18654, 1996, 2610, 2000, 2393, 4047, 2037, 9385, 1029, 1997, 2607, 2025, 1012, 2009, 1005, 1055, 2025, 2130, 1037, 4735, 3043, 1012, 1996, 2610, 2108, 2920, 3849, 2498, 2460, 1997, 7897, 1012, 1066, 1066, 1066, 8879, 4842, 10936, 2050, 2002, 2001, 2770, 1037, 4037, 2008, 7065, 16116, 2105, 20084, 8817, 1997, 9385, 2015, 1012, 2339, 5807, 1005, 1056, 2002, 2175, 2000, 7173, 1029, 2054, 3957, 2017, 1996, 2157, 2000, 2202, 2619, 2842, 1005, 1055, 20398, 17904, 2135, 2580, 6018, 4325, 1998, 2507, 2009, 2185, 2005, 2489, 2000, 5190, 1997, 2111, 1010, 2139, 18098, 14966, 2068, 1997, 1996, 7262, 2157, 2000, 5271, 2037, 2219, 2147, 1012, 9385, 2003, 2119, 1037, 4735, 1998, 2942, 3043, 1012, 1996, 2942, 2457, 2291, 2003, 6179, 2005, 2116, 2477, 1010, 2021, 2009, 2003, 3132, 2000, 12194, 12394, 1010, 2029, 2003, 2025, 2200, 14044, 2043, 1996, 12394, 2024, 1999, 1996, 8817, 1998, 1996, 13474, 3475, 1005, 1056, 2200, 7272, 1012, 1996, 18476, 2373, 1997, 1996, 4735, 2291, 2003, 2025, 6413, 2005, 3265, 2111, 8816, 2075, 2189, 1010, 2021, 2009, 5121, 2003, 2005, 1037, 12138, 3169, 5994, 1996, 6206, 4353, 1997, 8817, 1997, 9385, 2098, 2573, 2000, 5606, 1997, 5190, 1997, 5198, 1012, 1027, 1027, 10086, 1027, 1027, 2070, 10960, 1010, 2144, 1045, 1005, 1049, 3446, 1011, 3132, 1024, 1028, 1035, 1999, 2087, 3572, 1045, 3191, 2055, 2009, 1005, 1055, 2062, 1037, 3043, 1997, 1996, 2783, 9385, 1028, 9111, 6431, 1996, 6904, 6895, 27606, 4263, 1012, 2025, 1037, 3043, 1997, 1996, 8543, 6431, 1996, 5025, 1028, 8816, 2121, 1012, 1035, 2048, 2685, 1012, 1015, 1032, 1012, 2129, 2079, 2017, 2228, 1996, 2783, 9385, 9111, 2288, 1996, 9385, 1029, 2027, 3734, 2009, 2013, 1996, 8543, 2011, 2593, 7079, 1999, 5083, 2030, 2044, 1996, 2755, 2030, 2004, 2112, 1997, 2070, 7552, 3066, 1012, 1016, 1032, 1012, 2065, 2017, 2448, 1037, 3006, 2008, 2017, 2113, 2003, 2109, 2471, 7580, 2011, 2111, 4855, 24528, 12733, 1010, 2079, 2017, 2228, 2008, 1005, 1055, 3423, 2074, 2138, 2017, 1005, 2128, 2025, 1996, 17634, 2030, 1996, 14939, 1029, 1999, 2553, 2017, 2123, 1005, 1056, 2113, 1010, 2009, 1005, 1055, 2025, 1010, 1998, 2017, 1005, 2222, 2175, 2000, 7173, 2074, 2004, 2065, 2017, 2018, 2853, 1996, 24528, 12733, 1012, 1028, 1035, 2065, 1996, 13474, 3475, 1005, 1056, 7272, 2044, 20083, 2035, 2008, 4180, 1010, 2003, 1996, 1028, 4180, 4276, 8817, 1029, 2030, 2003, 1996, 2231, 1011, 16348, 2449, 2944, 4276, 1028, 8817, 1029, 1035, 2748, 1010, 7789, 3200, 3475, 1005, 1056, 4276, 2505, 2302, 2231, 7285, 1012, 2021, 2057, 1005, 2310, 2787, 2000, 1010, 2004, 3265, 8384, 1998, 2004, 2019, 2972, 2088, 2011, 5036, 1010, 2000, 3073, 2107, 7285, 1010, 2138, 2057, 2228, 14622, 2107, 3200, 2916, 2003, 2204, 2005, 2256, 2554, 1012, 1998, 2004, 2005, 1996, 2034, 2391, 1010, 2129, 2172, 2017, 2191, 2011, 20084, 2060, 2111, 1005, 1055, 2916, 3475, 1005, 1056, 2008, 7882, 1012, 2065, 1045, 8954, 1037, 4744, 11066, 1997, 18059, 2015, 1998, 2507, 2068, 2185, 2005, 2489, 1010, 1045, 2145, 10312, 2068, 1012, 1045, 5382, 12997, 2003, 2200, 2367, 2013, 3558, 3200, 1010, 2021, 1996, 5618, 1997, 1996, 19302, 3475, 1005, 1056, 2008, 7882, 1999, 2593, 1012, 1066, 1066, 1066, 11721, 21246, 2638, 3423, 3012, 4998, 1010, 3251, 6631, 9385, 2098, 2592, 2003, 16095, 2389, 2030, 2025, 2003, 4340, 2011, 2028, 1005, 1055, 2219, 5300, 1012, 2070, 2111, 1010, 2870, 2443, 1010, 2156, 1037, 2711, 1005, 1055, 2157, 1011, 2000, 1011, 3745, 2000, 2022, 2521, 2062, 2590, 2000, 8438, 2084, 1996, 6048, 3754, 2000, 12666, 2019, 5665, 1011, 10897, 2449, 2944, 2000, 5618, 2125, 2010, 2030, 2014, 2147, 1012, 2045, 2024, 2116, 3971, 2000, 9699, 5618, 2060, 2084, 2000, 1999, 19699, 23496, 2006, 2500, 1005, 2157, 2000, 3745, 1012, 8438, 2515, 2025, 12533, 2017, 1037, 3144, 2449, 2944, 1010, 1998, 5121, 2025, 2012, 1996, 10961, 1997, 2009, 1005, 1055, 2157, 2000, 3745, 1012, 1028, 2054, 3957, 2017, 1996, 2157, 2000, 2202, 2619, 2842, 1005, 1055, 20398, 17904, 2135, 2580, 1028, 6018, 4325, 1998, 2507, 2009, 2185, 2005, 2489, 2000, 5190, 1997, 2111, 1010, 1028, 2139, 18098, 14966, 2068, 1997, 1996, 7262, 2157, 2000, 5271, 2037, 2219, 2147, 1012, 5198, 6631, 9385, 2098, 2147, 2515, 2498, 2000, 4652, 6048, 2013, 5618, 2075, 2125, 2037, 2147, 1012, 9530, 10258, 5844, 6631, 1998, 2449, 2003, 2054, 2288, 2149, 1999, 2023, 6752, 1999, 1996, 2034, 2173, 1012, 1066, 1066, 1066, 23794, 2487, 2228, 2055, 3822, 2088, 3032, 1012, 1045, 1005, 1049, 4659, 2488, 2125, 2084, 2026, 12746, 1006, 1016, 3765, 1010, 2219, 1037, 2160, 4385, 1012, 1007, 2021, 1045, 2064, 2053, 2126, 8984, 2002, 2595, 9938, 16096, 4013, 1010, 20934, 14536, 2609, 2658, 1010, 6583, 7903, 4017, 12882, 2030, 6892, 10024, 7076, 1998, 2023, 2862, 3632, 2006, 1012, 1012, 1012, 2027, 3465, 2062, 2084, 2026, 2048, 2030, 2093, 2706, 1997, 9278, 1012, 2026, 3008, 2024, 2119, 2966, 7435, 1998, 2037, 2966, 2808, 2024, 2025, 15184, 2065, 2027, 2020, 2853, 1999, 2149, 7597, 2021, 2027, 2031, 3822, 2088, 6140, 6572, 1998, 2027, 2064, 10142, 4965, 2122, 4809, 1012, 4007, 17088, 2031, 2000, 15581, 2000, 23746, 24158, 2205, 1012, 10355, 3316, 2525, 5967, 2023, 1998, 1045, 1005, 2310, 2196, 11304, 2094, 2151, 2399, 2144, 5492, 1012, 1045, 1005, 1049, 1037, 7079, 20907, 1010, 3962, 8757, 8013, 2138, 2027, 2024, 21125, 2005, 1996, 2406, 2027, 5452, 1998, 2004, 2017, 2064, 3984, 1045, 1005, 1049, 2025, 22047, 24360, 2189, 2030, 5691, 2593, 1012, 4274, 2003, 3795, 2021, 13131, 2373, 2003, 2025, 1012, 12962, 2135, 1010, 1045, 2156, 2053, 3291, 1999, 22047, 24360, 1012, 2529, 3716, 2003, 1000, 2006, 1996, 4065, 1997, 7230, 1000, 1998, 1999, 9569, 7339, 1011, 1045, 1005, 1049, 2025, 20324, 2023, 1011, 2130, 9385, 2003, 2006, 15311, 5286, 1006, 3200, 2003, 11933, 999, 1011, 5578, 1011, 3312, 7098, 8747, 1007, 1066, 1066, 1066, 2489, 28968, 1028, 10355, 3316, 2525, 5967, 2023, 1998, 1045, 1005, 2310, 2196, 11304, 2094, 2151, 2399, 2144, 1028, 5492, 1012, 1996, 2034, 2000, 11092, 2023, 1010, 2200, 5147, 1010, 2018, 2941, 2042, 6207, 2007, 2037, 3921, 2000, 4855, 23378, 2015, 1012, 2096, 7955, 2001, 2145, 5697, 2667, 2000, 5271, 2058, 18098, 6610, 2094, 3558, 4042, 1010, 17949, 2055, 1996, 1000, 3617, 16215, 2666, 27900, 1000, 1010, 6207, 2165, 2023, 2004, 2019, 4495, 2007, 11943, 1012, 11943, 2081, 9343, 2189, 18397, 2004, 14057, 2004, 2009, 2001, 14255, 15172, 2009, 1010, 2012, 1996, 2168, 2051, 11943, 3039, 6304, 2000, 2069, 4965, 3563, 2774, 1006, 2012, 9608, 7597, 1007, 1010, 2612, 1997, 6932, 2068, 2000, 4965, 2878, 4042, 1012, 10764, 2106, 2242, 2714, 2005, 10355, 2007, 5492, 1010, 2008, 1005, 1055, 2995, 1010, 2021, 2009, 2165, 5492, 2126, 2936, 2000, 2131, 2045, 2084, 2009, 2106, 2202, 11943, 1012, 10047, 6806, 5492, 2038, 2036, 19723, 16119, 3243, 1037, 2978, 1999, 2008, 7634, 1010, 2009, 2109, 2000, 2022, 1037, 2173, 2005, 2204, 9144, 2021, 6233, 5683, 2066, 1037, 4132, 2000, 24596, 2105, 24596, 8059, 2005, 23433, 1998, 6202, 5329, 1012, 1066, 1066, 1066, 3881, 5302, 2140, 6207, 2003, 2019, 5875, 2553, 1012, 2096, 2027, 2089, 2031, 27978, 2098, 2007, 1005, 3423, 1005, 2189, 2004, 1037, 6599, 5460, 1010, 1996, 2502, 14189, 2234, 2013, 5815, 9710, 1998, 17839, 2000, 1996, 28498, 6407, 1997, 1005, 7376, 1005, 2189, 1012, 1037, 2200, 2235, 16745, 1997, 26322, 2015, 2020, 3561, 2039, 2007, 1996, 4606, 1009, 1002, 2184, 2243, 3465, 1997, 1005, 3423, 1005, 2189, 1012, 2053, 2844, 5448, 1010, 2021, 2009, 1005, 1055, 1037, 5399, 4310, 3663, 1999, 1996, 5543, 1997, 12997, 1012, 1066, 1066, 1066, 2489, 28968, 1028, 1037, 2200, 2235, 16745, 1997, 26322, 2015, 2020, 3561, 2039, 2007, 1996, 4606, 1009, 1002, 2184, 2243, 3465, 1997, 1028, 1005, 3423, 1005, 2189, 1012, 2021, 2027, 2020, 2941, 3561, 2007, 2070, 3423, 2189, 1010, 3188, 2000, 11943, 2045, 2347, 1005, 1056, 2428, 1000, 2028, 10562, 2173, 1000, 2005, 13131, 3617, 2189, 1010, 2087, 23378, 1005, 1055, 2234, 2013, 3558, 3729, 1005, 1055, 2111, 9157, 9139, 1012, 1037, 3232, 1997, 4257, 11657, 2578, 10538, 2039, 2077, 1013, 2105, 1996, 2168, 2051, 1010, 2021, 2122, 3262, 2357, 2041, 2000, 2022, 6206, 14927, 1010, 2061, 2009, 2001, 3262, 11943, 2029, 5881, 2105, 1999, 1996, 2927, 1998, 2719, 1996, 3006, 1012, 1028, 2096, 2027, 2089, 2031, 27978, 2098, 2007, 1005, 3423, 1005, 2189, 2004, 1037, 6599, 5460, 2027, 2145, 2031, 8052, 3006, 6661, 1999, 3617, 2189, 4353, 1010, 2027, 2031, 2318, 2000, 4558, 2598, 2000, 11058, 2578, 2066, 3962, 8757, 1998, 2189, 10873, 2633, 25357, 2000, 1996, 3617, 2287, 2021, 21358, 4886, 2243, 11943, 2001, 1998, 2145, 2003, 1037, 2350, 2447, 1999, 3617, 2189, 4353, 1012, 1066, 1066, 1066, 3881, 5302, 2140, 5121, 1012, 1045, 2359, 2000, 3073, 2070, 12369, 2000, 1996, 10949, 1997, 1996, 26322, 1013, 11943, 3663, 1012, 5875, 2135, 2004, 2017, 3264, 1028, 1037, 3232, 1997, 4257, 11657, 2578, 10538, 2039, 2077, 1013, 2105, 1996, 2168, 2051, 1010, 2021, 2122, 3262, 2357, 2041, 2000, 2022, 6206, 14927, 1010, 2061, 2009, 2001, 3262, 11943, 2029, 5881, 2105, 1999, 1996, 2927, 1998, 2719, 1996, 3006, 1012, 1045, 2228, 18108, 3112, 2012, 4526, 2023, 3006, 2001, 1037, 2011, 21572, 8566, 6593, 1997, 2009, 2108, 4636, 13665, 2389, 22778, 2005, 1996, 26322, 1005, 1055, 10514, 9623, 4757, 1012, 2302, 1996, 26322, 1010, 11943, 2052, 3497, 2031, 2908, 1996, 2168, 2126, 2004, 1996, 2717, 1997, 1996, 2220, 3423, 3617, 2189, 19041, 1012, 2302, 1996, 4598, 1997, 1037, 2312, 3074, 1997, 3262, 1005, 11304, 2094, 1005, 23378, 1005, 1055, 3564, 2006, 2188, 15363, 2015, 1998, 2436, 6125, 2408, 1996, 7595, 1010, 1996, 26322, 2763, 2052, 2025, 2031, 2579, 2125, 1012, 6207, 3024, 2307, 9710, 2005, 2216, 6407, 2011, 4855, 1996, 26322, 1012, 6207, 2069, 4780, 2018, 2151, 13500, 2000, 4352, 1996, 25180, 3238, 4651, 1013, 6631, 1997, 2972, 26322, 6407, 1997, 9385, 2098, 2189, 1010, 2077, 16228, 2009, 2052, 2022, 2172, 2062, 12776, 14778, 3512, 2000, 9979, 1996, 3653, 15985, 6651, 1997, 1005, 11304, 2094, 1005, 2189, 6407, 2011, 19920, 1999, 4007, 2000, 4550, 1004, 10939, 2009, 1010, 1998, 3722, 2000, 2224, 8051, 2008, 3084, 2009, 12109, 1012, 1066, 1066, 1066, 2489, 28968, 1028, 6207, 2069, 4780, 2018, 2151, 13500, 2000, 4352, 1996, 25180, 3238, 1028, 4651, 1013, 6631, 1997, 2972, 26322, 6407, 1997, 9385, 2098, 2189, 1010, 2077, 1028, 16228, 2009, 2052, 2022, 2172, 2062, 12776, 14778, 3512, 2000, 9979, 1996, 3653, 15985, 6651, 1997, 1028, 1005, 11304, 2094, 1005, 2189, 6407, 2011, 19920, 1999, 4007, 2000, 4550, 1004, 10939, 2009, 1010, 1028, 1998, 3722, 2000, 2224, 8051, 2008, 3084 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2012, 4749, 19481, 1010, 2002, 17749, 2002, 2987, 1521, 1056, 2031, 1996, 6309, 1012, 2010, 2388, 1010, 2310, 8189, 1010, 2040, 2924, 28402, 2098, 1996, 4825, 1010, 2018, 2579, 2068, 2028, 2851, 2044, 2016, 1998, 4825, 3095, 2939, 1999, 2006, 2014, 2365, 1998, 2048, 2308, 1999, 1996, 8721, 18640, 6891, 1012, 1037, 2305, 1997, 5948, 1998, 1996, 4319, 9618, 2018, 2357, 2046, 1037, 6248, 7540, 1011, 1998, 1011, 7358, 4283, 2000, 2039, 22299, 2098, 4825, 1011, 2946, 26536, 2015, 1997, 9724, 3514, 1012, 6683, 4509, 23178, 2015, 1996, 5299, 6634, 3347, 2341, 2330, 1010, 8840, 12868, 1996, 3647, 1998, 4933, 2015, 2010, 10306, 2007, 5356, 1012, 2002, 14444, 2668, 2006, 1996, 2723, 1998, 2035, 2058, 2010, 3797, 1012, 2010, 5413, 2003, 3975, 2898, 2330, 1012, 2002, 6762, 2012, 1037, 8945, 3207, 3654, 2006, 1996, 2126, 2067, 2000, 2010, 4545, 2000, 4965, 3565, 25238, 1010, 1037, 20578, 26929, 2224, 2000, 2485, 3806, 15689, 1010, 2644, 9524, 1998, 2562, 2551, 1012, 4748, 4748, 2012, 2010, 4545, 1010, 1996, 19215, 7126, 6683, 4509, 25238, 2010, 5413, 3844, 1012, 2002, 23442, 1998, 5235, 2041, 1012, 2043, 2002, 17507, 1010, 2016, 1998, 1996, 5356, 2024, 2908, 1012, 1037, 2733, 2101, 1010, 2310, 8189, 3138, 2014, 2365, 2006, 1037, 2176, 1011, 3178, 4333, 3298, 2000, 3552, 1998, 9010, 2032, 2125, 2012, 1037, 2654, 1011, 2154, 11252, 2565, 1012, 2176, 1011, 1998, 1011, 1037, 1011, 2431, 2086, 2101, 1010, 6683, 4509, 1010, 3943, 1010, 2003, 17358, 1998, 8617, 2093, 7884, 1010, 9457, 9457, 13020, 1998, 2577, 1521, 1055, 24494, 4580, 1999, 7014, 2229, 2850, 1998, 1037, 2117, 9457, 9457, 13020, 1999, 6222, 1012, 1999, 2281, 1010, 2002, 2001, 4778, 2000, 5660, 2012, 1996, 26150, 2508, 10154, 2160, 1999, 2047, 2259, 2103, 1998, 2106, 1010, 2074, 2077, 4234, 1012, 2044, 2383, 2366, 1037, 2274, 1011, 2607, 7954, 2008, 2443, 2240, 1011, 3236, 11085, 12322, 4904, 2007, 8040, 8095, 7361, 9587, 17854, 18809, 2063, 1998, 9808, 3388, 2527, 6187, 9035, 2099, 1010, 2002, 13686, 2005, 1037, 3861, 2849, 1999, 2849, 2007, 2010, 2388, 1010, 2002, 1999, 19532, 10026, 12461, 1010, 2016, 1999, 1037, 14726, 1010, 17796, 2135, 23590, 28799, 9610, 4246, 2239, 18906, 2072, 2058, 1037, 3212, 1011, 2630, 10966, 18149, 1012, 1037, 6533, 1997, 12696, 2508, 10154, 5112, 2369, 2068, 1012, 2005, 6683, 4509, 1010, 1037, 10103, 2018, 2468, 1037, 3959, 2272, 2995, 1012, 2339, 2425, 2010, 2466, 1029, 1523, 1045, 2215, 2005, 2619, 2000, 3191, 2009, 1998, 2360, 1010, 1520, 1045, 2031, 1037, 2767, 2040, 3791, 2000, 3191, 2023, 1010, 1521, 1524, 2002, 2056, 1012, 1523, 1045, 1521, 1049, 2025, 2019, 19169, 1011, 3412, 2711, 1010, 2021, 2065, 2045, 2347, 1521, 1056, 2619, 2559, 2041, 2005, 2033, 1010, 1045, 2876, 1521, 1056, 2022, 2182, 2157, 2085, 1012, 1524, 4748, 4748, 4319, 1998, 6544, 6905, 11629, 2015, 1996, 4825, 2449, 1012, 2429, 2000, 1996, 2325, 2120, 5002, 2006, 4319, 2224, 1998, 2740, 2013, 1996, 2533, 1997, 2740, 1998, 2529, 2578, 1010, 15961, 1998, 2833, 2326, 3667, 2018, 1996, 3284, 3446, 1997, 9415, 6905, 2426, 2035, 1996, 6088, 3273, 1010, 2012, 2385, 1012, 1023, 3867, 1012, 1996, 3446, 1997, 6544, 6905, 2001, 3020, 2069, 1999, 1996, 5471, 1998, 2810, 4249, 1012, 1996, 4037, 27828, 2007, 3314, 1998, 3454, 2107, 2004, 3841, 1521, 1055, 2814, 1998, 4825, 7233, 3073, 3647, 7258, 2005, 2111, 1999, 1996, 3068, 2000, 3066, 2007, 3314, 2008, 2763, 2031, 6147, 1999, 1996, 2627, 1012, 2004, 2007, 2116, 26855, 2015, 1010, 6683, 4509, 1521, 1055, 4990, 2211, 2077, 2002, 2001, 2141, 1012, 2010, 2388, 1010, 1037, 5066, 1011, 2154, 25696, 1010, 2001, 1037, 2934, 1999, 16920, 1010, 2634, 1012, 2738, 2084, 3961, 4333, 1999, 2019, 20676, 3510, 1010, 2016, 2288, 9196, 1010, 27505, 1999, 2634, 1012, 2016, 2036, 2211, 1037, 28592, 2007, 11948, 4509, 6152, 1010, 1037, 3076, 1998, 2014, 2353, 5542, 1012, 4748, 4748, 1523, 2026, 3428, 2409, 2033, 2200, 4415, 2008, 2057, 2079, 2025, 2031, 8179, 2015, 1999, 2256, 2155, 1010, 1524, 2758, 2310, 8189, 1012, 1523, 2054, 3601, 2106, 1045, 2031, 1029, 1045, 2234, 2000, 2637, 1012, 1524, 2016, 3876, 1999, 3165, 3500, 1999, 3196, 1010, 6595, 2007, 2019, 2137, 2450, 2016, 2354, 2013, 2634, 1012, 2016, 2018, 2416, 15940, 2015, 1010, 2164, 9705, 21030, 3215, 1998, 1037, 20452, 1010, 1002, 1015, 1010, 5174, 1006, 1996, 4555, 1996, 2142, 2163, 3039, 1007, 1998, 2048, 3337, 1010, 8683, 2260, 1010, 1998, 2577, 1010, 1020, 1010, 2000, 5333, 1012, 11948, 4509, 3740, 2000, 3582, 2320, 2002, 2071, 2131, 1037, 9425, 1012, 2019, 7521, 5160, 2165, 1002, 5385, 2000, 6611, 2005, 2014, 1044, 2487, 9425, 1012, 2416, 2706, 2101, 1010, 2016, 2363, 1037, 3661, 3038, 2014, 10367, 9425, 2018, 13735, 1012, 1996, 5160, 2018, 2196, 6406, 2014, 4981, 1012, 2738, 2084, 2709, 2000, 2634, 1998, 2085, 2007, 13735, 5491, 1010, 2016, 2165, 1037, 3105, 2007, 1996, 5160, 1517, 1998, 1037, 2117, 3105, 2012, 1037, 3026, 2729, 4322, 1012, 11948, 4509, 3369, 1999, 3118, 1998, 2218, 1037, 5164, 1997, 5841, 1010, 2096, 4363, 2010, 5948, 17620, 2229, 2104, 19735, 1025, 4895, 24597, 19779, 2078, 2000, 2310, 8189, 1010, 2002, 2018, 2468, 1037, 5729, 14813, 1012, 2027, 2496, 1998, 4149, 1037, 20910, 27585, 1999, 3106, 1012, 6683, 4509, 2001, 2141, 1999, 3069, 1012, 4748, 4748, 1998, 2061, 2010, 13460, 2211, 1012, 1999, 2960, 1010, 11948, 4509, 2018, 2093, 4241, 2483, 1010, 2164, 2028, 21798, 1996, 2482, 1010, 2007, 2577, 2503, 1012, 2002, 2052, 2681, 2005, 2146, 6993, 1010, 2059, 2709, 14477, 10695, 23709, 11788, 1012, 1523, 1045, 2001, 5189, 1998, 6355, 1012, 1031, 2310, 8189, 1033, 2018, 1037, 3232, 1997, 4178, 2073, 2016, 2018, 2000, 2175, 2046, 1037, 7713, 2007, 1996, 3337, 1012, 2045, 2020, 7167, 1997, 25380, 1010, 23161, 1010, 1524, 11948, 4509, 2758, 1012, 1523, 2043, 6683, 4509, 2001, 1016, 1092, 1010, 2002, 2234, 13003, 2046, 2256, 2282, 1998, 13605, 2006, 2026, 3108, 1012, 1045, 2001, 2431, 6680, 1010, 5112, 2058, 1012, 1045, 4046, 2032, 2011, 2010, 4065, 1998, 3724, 2032, 2091, 2524, 1010, 1998, 2010, 10768, 20136, 10909, 1012, 1524, 1996, 6441, 2404, 6683, 4509, 1999, 1037, 2303, 3459, 2005, 2706, 1012, 1523, 1045, 4033, 1521, 1056, 2130, 5625, 2000, 2228, 2055, 2129, 1045, 2064, 3198, 17213, 2005, 2023, 1012, 1524, 6683, 4509, 2134, 1521, 1056, 2113, 1996, 3606, 2055, 1996, 5043, 2127, 2010, 9454, 2086, 1012, 1523, 1045, 2001, 2409, 1045, 2018, 5357, 2091, 1996, 4084, 1010, 1524, 2002, 2758, 1012, 2310, 8189, 2288, 1037, 2665, 4003, 1999, 2889, 1998, 2165, 1999, 2093, 6469, 2336, 2007, 13597, 2000, 2393, 5333, 1996, 2769, 2000, 2179, 2054, 2052, 2468, 1037, 4677, 1997, 6152, 4580, 7197, 1011, 2542, 4128, 1010, 3225, 1999, 2600, 3077, 1012, 1006, 2045, 2024, 2085, 3157, 1012, 1007, 1999, 2786, 1010, 2016, 4149, 1037, 2160, 1999, 4315, 3702, 1012, 8683, 1010, 2040, 2036, 6915, 2007, 6544, 1010, 2018, 2146, 2333, 2041, 1025, 2577, 2001, 1999, 2662, 2005, 2267, 1012, 4748, 4748, 1523, 2008, 1521, 1055, 2073, 6683, 4509, 3473, 2039, 1010, 2073, 2002, 2387, 1996, 5409, 1997, 2010, 2269, 1010, 2073, 2002, 2170, 19989, 2006, 2032, 2138, 2002, 2001, 6886, 2477, 2012, 2033, 1998, 8273, 7741, 2033, 1010, 1524, 2310, 8189, 2056, 1012, 2082, 3024, 2053, 24501, 23270, 2063, 1012, 1999, 2959, 3694, 1010, 2012, 7084, 3077, 25696, 2914, 1999, 18000, 3077, 1010, 2002, 2134, 1521, 1056, 4906, 1999, 1998, 2001, 7087, 6340, 1012, 2002, 3030, 2725, 19453, 1012, 1999, 5964, 3694, 1010, 2002, 2001, 9343, 8962, 1010, 11065, 13207, 1998, 5948, 2035, 2154, 1012, 2002, 28719, 2046, 2010, 3836, 1521, 1055, 3274, 2000, 2689, 1037, 3694, 1998, 2288, 6731, 1012, 1999, 6619, 3694, 1010, 2002, 2288, 6476, 2041, 1010, 15192, 1996, 3694, 2012, 1996, 2270, 23848, 28121, 2121, 2152, 2082, 1999, 2600, 3077, 1012, 1523, 1045, 2081, 2814, 2007, 2070, 2613, 12290, 2045, 1010, 1524, 2002, 2758, 1012, 1523, 2008, 1521, 1055, 2043, 2009, 13886, 2008, 1996, 2062, 1045, 10749, 1010, 1996, 2062, 5850, 1045, 2106, 1010, 1996, 2062, 9590, 1045, 2288, 1999, 1010, 1996, 2062, 2759, 1045, 2001, 1012, 1524, 4748, 2010, 2269, 2001, 1999, 1998, 2041, 1997, 2010, 2166, 1012, 2310, 8189, 9196, 11948, 4509, 1999, 2541, 1010, 2128, 7849, 2854, 2075, 2032, 1999, 2294, 1010, 1998, 2076, 2010, 17620, 2229, 2016, 2052, 4604, 6683, 4509, 2000, 2191, 2469, 2002, 2910, 1521, 1056, 5296, 2010, 4545, 2091, 2007, 1037, 9907, 2030, 2979, 2041, 1998, 2718, 2010, 2132, 1012, 1523, 1045, 3030, 2108, 1037, 4845, 2096, 1045, 2001, 2145, 1037, 4845, 1010, 1524, 6683, 4509, 2758, 1012, 4748, 2002, 2499, 2536, 5841, 1010, 2164, 2012, 29500, 1010, 2073, 2002, 2288, 5045, 2005, 11065, 1002, 2753, 2000, 4965, 19069, 1012, 2011, 2538, 1010, 2002, 2001, 1037, 21722, 3677, 2012, 1037, 10170, 1521, 1055, 2252, 1999, 6222, 1998, 19018, 2005, 5850, 2005, 6368, 1012, 2010, 22017, 4371, 1998, 16034, 10427, 13212, 2098, 1012, 2010, 2388, 6476, 2032, 2041, 1010, 2059, 2061, 2106, 1037, 6513, 2002, 4370, 2007, 1010, 2059, 1996, 2814, 2040, 2292, 2032, 6411, 14175, 1012, 1523, 1045, 5296, 2296, 2958, 1010, 12232, 3071, 2769, 1998, 2253, 2188, 2007, 2026, 5725, 2090, 2026, 3456, 1010, 1524, 2002, 2758, 1012, 2002, 2985, 2010, 2420, 3666, 2833, 2897, 1010, 2073, 2002, 3236, 1996, 8434, 11829, 1012, 1999, 2263, 1010, 2002, 2081, 1037, 22689, 15060, 4596, 2005, 2010, 2388, 2000, 13984, 2014, 2000, 3477, 2005, 2032, 2000, 2175, 2000, 1996, 2413, 20560, 2820, 1999, 2047, 2259, 1012, 2016, 2354, 2002, 2074, 2359, 2000, 2131, 2041, 1997, 5374, 1010, 1998, 2016, 8615, 5850, 2052, 3102, 2032, 1010, 2021, 2016, 3825, 1996, 1002, 2871, 1010, 2199, 1011, 4606, 15413, 4606, 9278, 1010, 1998, 2292, 2032, 2175, 1012, 4748, 4748, 1996, 2154, 2077, 2002, 2001, 4011, 2000, 2175, 2000, 2047, 2259, 1998, 3696, 2019, 4545, 10084, 1010, 2002, 8682, 3210, 1997, 14492, 2127, 1018, 1037, 1012, 1049, 1012, 2002, 2165, 1996, 3345, 2039, 1010, 2772, 1996, 10084, 1010, 2979, 2041, 2006, 1996, 2723, 1997, 1996, 4895, 27942, 28357, 4545, 1998, 2234, 2067, 2188, 1012, 2320, 2012, 1996, 4429, 2072, 1010, 2002, 23081, 1012, 1996, 2565, 2443, 2551, 2005, 1996, 2082, 1521, 1055, 1999, 1011, 2160, 4825, 1010, 2073, 1037, 3520, 8820, 1011, 2066, 10439, 20624, 6290, 2002, 2580, 2081, 2009, 2006, 1996, 6265, 12183, 1010, 2019, 3932, 1012, 2310, 8189, 2001, 7098, 1010, 2750, 3451, 28616, 23795, 2015, 1012, 1523, 13367, 1010, 27828, 2031, 2307, 14653, 1010, 2021, 2065, 2026, 5615, 2387, 2023, 1010, 2026, 2269, 1010, 2027, 2052, 27874, 1010, 2138, 1045, 2272, 2013, 1996, 6996, 2465, 1999, 2634, 1010, 2073, 2027, 2031, 2037, 2219, 26051, 1998, 27828, 1010, 1524, 2016, 2056, 1012, 1523, 2021, 2138, 2026, 2365, 2001, 3407, 1010, 1045, 2001, 3407, 1012, 1524, 4748, 6683, 4509, 2499, 1999, 7884, 2105, 2047, 2259, 1010, 2107, 2004, 16962, 18259, 1010, 11320, 4502, 9808, 3334, 2401, 3142, 2050, 1998, 3347, 15091, 2072, 1012, 27828, 2409, 2032, 2002, 2071, 2175, 2521, 2065, 2002, 2404, 2010, 7942, 2369, 2032, 1012, 2612, 1010, 2002, 2112, 6340, 2006, 1010, 2823, 4394, 2147, 1998, 2893, 5045, 1012, 2002, 2853, 14492, 1012, 2006, 2048, 9109, 2188, 2000, 2156, 2010, 3008, 1010, 2002, 2001, 4727, 2005, 4241, 2483, 1012, 4748, 2002, 2513, 2000, 5374, 1999, 2262, 1010, 2073, 1996, 4749, 19481, 2686, 1999, 7014, 2229, 2850, 2018, 2468, 2800, 1012, 2310, 8189, 2853, 1037, 3200, 2000, 5446, 1996, 2449, 1012, 2016, 2354, 2008, 6683, 4509, 2001, 2145, 5948, 1517, 2002, 2052, 10436, 2005, 2420, 2012, 1037, 2051, 1517, 2021, 2025, 2008, 19690, 2018, 3133, 1996, 3861, 1012, 1523, 1045, 4669, 1996, 2801, 2008, 1045, 2071, 3280, 2013, 2009, 1010, 1524, 2002, 2758, 1012, 1523, 2008, 2790, 2066, 1037, 6625, 2331, 1012, 1524, 1996, 2190, 1011, 2553, 11967, 1010, 2004, 2002, 2387, 2009, 1010, 2001, 2008, 2002, 2052, 2131, 1037, 2204, 12610, 1025, 1996, 5409, 1011, 2553, 1010, 2008, 2002, 2876, 1521, 1056, 5256, 2039, 1012, 1523, 1045, 2134, 1521, 1056, 2079, 2009, 2000, 1996, 2391, 2073, 1045, 1521, 1040, 2131, 5305, 2065, 1045, 2134, 1521, 1056, 2031, 2009, 1012, 2065, 2009, 2347, 1521, 1056, 2079, 5051, 1010, 2009, 2001, 1031, 23060, 2100, 3597, 5280, 2063, 1033, 1517, 3649, 1045, 2071, 2131, 2026, 2398, 2006, 1012, 1045, 2001, 2725, 2061, 2172, 6271, 1010, 1996, 23060, 2100, 2052, 2130, 2033, 2041, 1010, 2111, 2056, 1012, 1998, 2009, 2499, 1012, 1524, 2009, 2134, 1521, 1056, 2147, 1012, 2028, 2154, 1999, 2297, 1010, 2310, 8189, 2435, 6683, 4509, 2019, 29227, 1012, 1523, 1045, 2409, 2026, 2365, 1010, 1520, 2065, 2017, 2024, 5627, 2000, 2175, 2046, 24497, 1010, 1045, 2572, 2007, 2017, 1012, 1045, 2097, 3477, 2005 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 6160, 2000, 1996, 9152, 20845, 5638, 2243, 27902, 1004, 3806, 8873, 13027, 5009, 1010, 2115, 2334, 5009, 2000, 27902, 1004, 3806, 8873, 13027, 1999, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 1012, 1996, 9152, 20845, 5638, 2243, 27902, 1004, 3806, 8873, 13027, 5009, 7545, 2362, 2592, 2013, 1037, 2898, 2846, 1997, 4216, 2000, 2191, 2009, 3733, 2005, 2017, 2000, 2424, 2054, 2017, 1005, 2128, 2559, 2005, 1012, 2511, 1999, 2857, 1998, 2241, 1999, 2470, 1010, 3154, 2300, 27902, 1998, 3806, 11414, 2003, 3079, 1998, 3498, 2011, 4079, 25570, 1010, 1037, 2969, 1011, 4846, 22088, 5677, 2040, 2038, 2973, 1999, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 2005, 2058, 2423, 2086, 1012, 4079, 2003, 1037, 7000, 22088, 5677, 1998, 3806, 4906, 3334, 2007, 2058, 2403, 2086, 1997, 3325, 2040, 2003, 4591, 22677, 23277, 4710, 2003, 1037, 2334, 14279, 2386, 2007, 2058, 2382, 2086, 1997, 11532, 1999, 1996, 27902, 3068, 1010, 2040, 2038, 12427, 1999, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 2005, 2058, 2423, 2086, 1012, 6609, 2003, 7000, 1999, 2035, 5919, 1997, 2236, 27902, 1010, 2164, 3806, 11414, 1010, 6228, 2578, 1010, 4412, 2075, 1010, 4040, 2300, 1010, 25480, 1010, 2300, 4425, 1998, 11987, 2198, 9574, 5748, 12849, 23344, 2618, 27902, 2578, 13866, 2100, 1012, 5183, 1010, 1037, 27905, 8953, 2241, 5502, 1010, 2511, 1999, 3055, 1010, 1998, 26804, 1996, 13182, 1997, 9152, 20845, 5638, 2243, 1012, 2198, 2038, 2058, 2538, 2086, 1997, 3325, 1999, 1996, 3068, 1998, 2003, 7000, 1999, 2035, 5919, 1997, 27902, 1012, 1055, 1012, 1037, 1012, 7380, 27902, 2001, 2511, 1999, 2826, 1012, 3660, 2003, 4591, 1999, 1010, 1998, 4107, 2035, 2236, 27902, 2578, 2164, 4412, 27902, 1010, 6032, 1997, 2980, 2300, 1998, 3806, 2578, 1010, 1998, 25480, 11987, 2005, 2119, 3293, 1998, 5647, 5144, 1012, 2002, 2569, 13087, 1999, 8430, 8534, 18916, 1012, 9779, 25547, 2063, 27902, 2003, 1037, 2155, 8048, 2449, 5462, 2000, 4346, 2019, 8114, 1010, 10539, 1998, 2457, 14769, 2326, 2000, 1996, 2270, 1012, 18072, 2884, 23268, 2121, 2003, 1037, 3929, 7000, 22088, 5677, 1998, 3806, 4906, 3334, 2007, 2058, 2656, 2086, 1997, 3325, 2040, 2578, 3293, 1010, 3919, 1998, 5647, 5144, 1010, 23315, 1999, 6032, 8311, 1998, 2152, 3778, 2300, 9344, 1997, 18916, 2035, 2335, 27902, 2569, 13087, 1999, 1996, 8272, 1010, 6032, 1998, 7192, 1997, 3806, 22449, 2004, 2092, 2004, 4346, 2578, 8800, 2000, 25480, 1998, 2300, 4425, 1010, 18916, 1010, 22365, 2015, 1010, 11867, 5833, 2075, 1010, 4412, 2075, 1998, 23245, 11414, 1012, 1037, 12541, 27902, 2003, 3079, 1998, 3498, 2011, 7638, 26261, 11705, 1010, 26804, 2119, 3293, 1998, 5647, 5144, 2306, 1996, 9152, 20845, 5638, 2243, 13182, 1012, 2578, 2421, 8272, 1998, 2326, 1997, 2035, 3806, 22449, 1010, 2164, 3806, 1998, 3751, 2980, 2300, 2326, 1998, 16247, 2689, 24302, 1010, 8430, 1997, 8534, 22365, 2015, 1998, 2917, 2598, 11987, 2573, 1010, 7192, 1997, 6532, 12432, 1010, 11112, 2128, 1011, 9378, 7999, 1010, 4412, 10315, 6697, 27902, 1998, 3806, 2578, 2038, 2042, 1037, 22088, 17198, 2005, 2459, 2086, 1012, 2256, 3811, 2764, 4813, 1010, 9783, 2083, 2035, 2227, 3215, 1997, 27902, 1998, 3806, 6032, 1012, 2061, 13459, 2055, 2010, 29536, 10719, 1010, 2002, 2038, 2468, 1037, 2266, 1997, 1996, 3040, 22088, 17198, 2523, 1010, 7052, 1037, 2898, 2846, 1997, 17239, 2000, 11598, 2010, 3716, 1012, 1045, 2572, 2036, 1037, 25936, 2980, 2300, 5394, 1012, 1996, 2334, 22088, 17198, 1997, 4202, 1998, 4124, 27902, 2031, 2058, 2423, 2086, 1997, 3325, 1999, 1996, 5647, 1998, 3293, 11105, 4346, 6020, 1998, 3806, 8873, 13027, 2578, 1012, 2057, 2031, 2042, 2551, 2007, 2188, 7620, 3316, 1010, 8160, 1010, 16472, 1998, 2188, 5608, 2005, 2035, 2037, 27902, 3791, 1012, 2256, 3289, 2024, 2000, 4503, 1037, 2146, 9879, 6550, 2007, 2256, 7846, 2241, 2006, 3404, 1010, 16718, 1010, 15258, 1998, 9967, 1012, 2053, 3105, 2003, 2205, 2502, 2030, 2205, 2235, 2005, 2149, 1012, 26804, 3614, 3702, 1010, 21838, 1010, 2123, 17479, 1998, 4193, 9435, 1012, 22088, 5677, 6683, 8569, 11715, 1011, 2115, 2334, 22088, 5677, 1999, 6683, 8569, 11715, 1998, 4193, 2752, 1012, 2057, 2024, 5379, 1998, 6987, 8048, 1012, 2007, 22088, 5677, 6683, 8569, 11715, 2017, 2064, 2467, 5987, 1996, 10418, 3737, 1998, 6739, 2147, 21530, 2013, 1996, 10418, 27902, 20202, 6683, 8569, 11715, 2038, 2000, 3749, 1012, 6160, 2000, 4895, 12322, 15422, 27902, 1011, 2115, 2334, 22088, 5677, 1999, 25149, 2057, 2024, 3929, 7000, 22088, 17198, 2008, 2024, 2241, 1999, 1996, 2642, 9435, 1998, 2147, 1999, 2035, 2752, 1997, 4940, 1012, 2057, 2024, 2372, 1997, 3040, 22088, 17198, 1998, 6228, 2578, 2523, 1998, 2031, 2035, 1996, 11459, 16928, 2740, 1998, 3808, 5329, 1012, 2057, 2569, 5562, 1999, 2116, 4127, 1997, 4412, 2075, 1010, 3806, 11414, 1010, 15576, 1010, 2047, 2810, 1010, 6032, 1997, 3806, 22449, 1998, 2980, 1998, 3147, 2300, 14111, 1012, 4202, 1004, 4124, 27902, 1010, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2057, 2326, 2087, 2752, 1997, 4940, 1998, 2064, 23488, 2005, 2115, 3791, 2484, 2847, 1037, 2154, 1010, 1021, 2420, 1037, 2733, 1012, 6160, 2000, 22378, 27902, 2342, 5057, 22088, 5677, 1999, 8839, 1029, 2655, 19527, 22378, 1006, 19527, 5824, 2549, 5594, 2620, 1007, 2057, 1005, 2128, 2006, 2051, 1010, 2296, 2051, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 28352, 11761, 2059, 2655, 2149, 2651, 28352, 11761, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 11503, 5677, 4381, 2059, 2655, 2149, 2651, 1012, 4202, 1004, 4124, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 7332, 14490, 2059, 2655, 2149, 2651, 1012, 4202, 1004, 4124, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 2065, 2017, 2031, 2019, 8534, 12475, 3291, 1999, 17710, 2860, 2059, 2655, 2149, 2651, 1012, 4202, 1004, 4124, 27902, 1996, 3796, 4270, 15744, 1010, 2038, 2058, 2322, 2086, 3325, 4895, 23467, 2075, 2115, 18916, 1010, 22365, 2015, 1998, 4040, 2300, 3210, 1012, 3649, 1996, 12475, 1012, 1012, 1012, 1012, 3649, 1996, 27902, 3291, 1010, 2256, 5281, 3095, 2064, 4895, 23467, 2009, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029, 2053, 2980, 2300, 1029, 2770, 11112, 1029, 22378, 27902, 4107, 1037, 2484, 3178, 6234, 26651, 2326, 1010, 1021, 2420, 1037, 2733, 1010, 19342, 2420, 1037, 2095, 1012, 22378, 27902, 2003, 2019, 2511, 2194, 2008, 4107, 2296, 2785, 1997, 27902, 1998, 2300, 2578, 2005, 5014, 1998, 5661, 1999, 4940, 1005, 1055, 2167, 1998, 2167, 2789, 9435, 1012, 2013, 16793, 2000, 3449, 22536, 1010, 18895, 2000, 27905, 8953, 1998, 28352, 11761, 2000, 21122, 23835, 2050, 1010, 22378, 27902, 2024, 1996, 1000, 8390, 2105, 1996, 3420, 1000, 2005, 2035, 2752, 1999, 1996, 8038, 11335, 3028, 2555, 1997, 3848, 1012, 2012, 22378, 27902, 1010, 2498, 2003, 2062, 2590, 2000, 2149, 2084, 6225, 2075, 2256, 8426, 2000, 2658, 2964, 1012, 2256, 8013, 3433, 2136, 7906, 2650, 1997, 2256, 14877, 2012, 2035, 2335, 1011, 2061, 2017, 2064, 2022, 2469, 2057, 1005, 2222, 2022, 2045, 2043, 2057, 2360, 2057, 2097, 1010, 2296, 2051, 1012, 6160, 2000, 22378, 27902, 8534, 12475, 1029, 6532, 2300, 8667, 1029 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5448, 3843, 2244, 2340, 1010, 2494, 1999, 1996, 2457, 1997, 9023, 2005, 1996, 2034, 2212, 1997, 3146, 2053, 1012, 5890, 1011, 6185, 1011, 25604, 2692, 2575, 1011, 26226, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 12997, 11540, 2194, 1010, 4297, 1012, 1010, 10439, 24178, 1058, 1012, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 1025, 2585, 1048, 1012, 11030, 1010, 14258, 1998, 2004, 8911, 1997, 1996, 3776, 1997, 10360, 11030, 1025, 2928, 8040, 6806, 9626, 5484, 1025, 4869, 8040, 6806, 9626, 5484, 1025, 12220, 14461, 1025, 1998, 3235, 8109, 1010, 10439, 14774, 2229, 1008, 1008, 1008, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 1025, 2585, 1048, 1012, 11030, 1010, 14258, 1998, 2004, 8911, 1997, 1996, 3776, 1997, 10360, 11030, 1025, 2928, 8040, 6806, 9626, 5484, 1025, 4869, 8040, 6806, 9626, 5484, 1025, 12220, 14461, 1025, 1998, 3235, 8109, 1010, 10439, 24178, 2015, 1058, 1012, 12997, 11540, 2194, 1010, 4297, 1012, 1010, 10439, 14774, 2063, 2006, 5574, 2013, 1996, 14378, 2705, 2212, 2457, 5671, 2221, 1010, 3146, 3979, 2457, 3426, 2053, 1012, 5585, 1011, 22343, 16086, 5448, 2006, 2128, 26560, 2075, 2057, 10632, 2256, 5448, 1997, 2089, 1022, 1010, 2494, 1998, 3277, 1996, 2206, 1999, 2049, 26261, 4215, 1012, 1996, 23953, 4367, 2005, 2128, 26560, 2075, 2003, 6380, 1012, 1037, 6467, 2179, 2008, 12997, 11540, 2194, 1010, 4297, 1012, 1010, 10439, 24178, 1010, 2001, 7977, 2135, 11265, 25394, 11461, 2043, 2009, 25769, 2049, 3206, 2007, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 1025, 2585, 1048, 1012, 11030, 1010, 14258, 1998, 2004, 8911, 1997, 1996, 3776, 1997, 10360, 11030, 1025, 2928, 8040, 6806, 9626, 5484, 1025, 4869, 8040, 6806, 9626, 5484, 1025, 12220, 14461, 1025, 1998, 3235, 8109, 1006, 13643, 1010, 1523, 1996, 23953, 1524, 1007, 1012, 1999, 2340, 2685, 1997, 7561, 1010, 12997, 9251, 2008, 2009, 2106, 2025, 12510, 1996, 3206, 1998, 1996, 2400, 1997, 2439, 11372, 1998, 16214, 1521, 9883, 2001, 24156, 1012, 1996, 23953, 5574, 1996, 3979, 2457, 1521, 1055, 13948, 2000, 2400, 3653, 9103, 2094, 21693, 4765, 3037, 2006, 11850, 3171, 12394, 1012, 2057, 7901, 1998, 17552, 8689, 2008, 1996, 23953, 2202, 2498, 1012, 25854, 1998, 24508, 4281, 1996, 17710, 5521, 2015, 3399, 1999, 2857, 1010, 2852, 1012, 2123, 17840, 3191, 1037, 4045, 3720, 1999, 2019, 3277, 1997, 1037, 2658, 2523, 13146, 1012, 1996, 3720, 1010, 4709, 1523, 10556, 12096, 1011, 4758, 8071, 21770, 10624, 6914, 20175, 2100, 1999, 9155, 4645, 2121, 2177, 26427, 2015, 1997, 2225, 3146, 1010, 1524, 2001, 2517, 2011, 1037, 21334, 1010, 2798, 17710, 5521, 2015, 1012, 2009, 3818, 2019, 23693, 2047, 3921, 2000, 15827, 2005, 3514, 1999, 2225, 3146, 1012, 1996, 3720, 2001, 2241, 2006, 1037, 3399, 1997, 1523, 10556, 12096, 2075, 1010, 1524, 2030, 5430, 4195, 1010, 1999, 1996, 9155, 4645, 2121, 4195, 1999, 2225, 3146, 1012, 2429, 2000, 1996, 17710, 5521, 2015, 3399, 1010, 8817, 1997, 2086, 3283, 1010, 10614, 2020, 2719, 1999, 2225, 3146, 1998, 2020, 3254, 3561, 2007, 19671, 1012, 2058, 2051, 1010, 2047, 2600, 2001, 2719, 2006, 2327, 1997, 1996, 10614, 1010, 22724, 1996, 15753, 1997, 1996, 10614, 1998, 3254, 20491, 1996, 7798, 10614, 2521, 2917, 1996, 3302, 1012, 17710, 5521, 2015, 14833, 18425, 2008, 1996, 3950, 1010, 7798, 10614, 2580, 2093, 5664, 22913, 1999, 1996, 9155, 4645, 2121, 4195, 1517, 1037, 1523, 5430, 4412, 1524, 4224, 1010, 1037, 1523, 5430, 6039, 1524, 4224, 1010, 1998, 1037, 1523, 5430, 2723, 1524, 4224, 1012, 2119, 1996, 5430, 4412, 1998, 5430, 2723, 10019, 5383, 3514, 1010, 17710, 5521, 2015, 26084, 1010, 2021, 4493, 7051, 2018, 10410, 2069, 1996, 3514, 1999, 1996, 5430, 4412, 4224, 1012, 2429, 2000, 17710, 5521, 2015, 1010, 2065, 3514, 7051, 2020, 24311, 6748, 2046, 1996, 9155, 4645, 2121, 4195, 1010, 2083, 1996, 5430, 4412, 4224, 1998, 1996, 4895, 21572, 26638, 5430, 6039, 4224, 1010, 2216, 7051, 2453, 3965, 3514, 2065, 2027, 10410, 2046, 1037, 13318, 2181, 1997, 1996, 5430, 2723, 4224, 1012, 1996, 17710, 5521, 2015, 3399, 4417, 1037, 3278, 6712, 2013, 1996, 7511, 3921, 2000, 15827, 1999, 1996, 9155, 4645, 2121, 4195, 1012, 1996, 7511, 3921, 1010, 2124, 2004, 1996, 1523, 11969, 1998, 27907, 1524, 4118, 1010, 2001, 2000, 12913, 2069, 2000, 1996, 2200, 2327, 1997, 2054, 17710, 5521, 2015, 2170, 1996, 5430, 4412, 4224, 1998, 10668, 8747, 2125, 2151, 3514, 1012, 1996, 5142, 2001, 2008, 2065, 1037, 2092, 2001, 24311, 2151, 6748, 1010, 2009, 2052, 2022, 1999, 18426, 3064, 2011, 1037, 4224, 1997, 2300, 1012, 1996, 4971, 4232, 1041, 1011, 1016, 2092, 2852, 1012, 17840, 2787, 2000, 3231, 1996, 17710, 5521, 2015, 3399, 2006, 1996, 4971, 4232, 1041, 1011, 1016, 2092, 1999, 1996, 7279, 4381, 2492, 1999, 14925, 4263, 2221, 1012, 1999, 3982, 1010, 8109, 11540, 2194, 2018, 24311, 1996, 4971, 4232, 1041, 1011, 1016, 2000, 1037, 2561, 5995, 1997, 6564, 8889, 2519, 1517, 2074, 1037, 2261, 3634, 2519, 2460, 1997, 2073, 17710, 5521, 2015, 14833, 18425, 1996, 3514, 1011, 4138, 5430, 2723, 4224, 2453, 2022, 2179, 1012, 2852, 1012, 17840, 3373, 2008, 1996, 4971, 4232, 1041, 1011, 1016, 3591, 2019, 4495, 2000, 3231, 1996, 17710, 5521, 2015, 3399, 2012, 4659, 2659, 3465, 1012, 8109, 6472, 1037, 1523, 3888, 5833, 3820, 1524, 2007, 2852, 1012, 17840, 1010, 4352, 2032, 2000, 2784, 2368, 1996, 2092, 1012, 1996, 9387, 2852, 1012, 17840, 5411, 2957, 20726, 1010, 1996, 3954, 1997, 6044, 3514, 2194, 1012, 1996, 2048, 2273, 2018, 3130, 2499, 2362, 2006, 2195, 3934, 1012, 6044, 3514, 3825, 17840, 1002, 2871, 1010, 2199, 1010, 1998, 20726, 3530, 2000, 2031, 6044, 3514, 2424, 9387, 1999, 3863, 2005, 1037, 2176, 3867, 2058, 21930, 16664, 3037, 1012, 6044, 3514, 2106, 2025, 2031, 2000, 3477, 2151, 1997, 1996, 15827, 5366, 1010, 2021, 2052, 4374, 2176, 3867, 1997, 1996, 11372, 1012, 1996, 10319, 4475, 6044, 3514, 2741, 2000, 17464, 9387, 5393, 2008, 1523, 2023, 2003, 1037, 3748, 11266, 3231, 1012, 1524, 1996, 4475, 2036, 5393, 2008, 1523, 6228, 3891, 2003, 2556, 1999, 2128, 1011, 10445, 1012, 1524, 2023, 3891, 19380, 2001, 2081, 2138, 1996, 4971, 4232, 1041, 1011, 1016, 2018, 2042, 4704, 2005, 2753, 2086, 1998, 2009, 2001, 5263, 2000, 16014, 2129, 6649, 1996, 2092, 2018, 20111, 1012, 3581, 9574, 1010, 1996, 6605, 2266, 1997, 2057, 6212, 3597, 2943, 1010, 1048, 1012, 1048, 1012, 1039, 1012, 2018, 11241, 2007, 20726, 1999, 1996, 2627, 1010, 1998, 9574, 2787, 2008, 2057, 6212, 3597, 2052, 15697, 1999, 1996, 4971, 4232, 1041, 1011, 1016, 1012, 9574, 1521, 1055, 17907, 1010, 2585, 11030, 1010, 2036, 11241, 1010, 2004, 2106, 2195, 1997, 11030, 1521, 1055, 2814, 1998, 2155, 2372, 1012, 4989, 1997, 12997, 11540, 17840, 1010, 20726, 1010, 1998, 9574, 4900, 12997, 2004, 1996, 6872, 1997, 1996, 2092, 1012, 17840, 3591, 1996, 6378, 2000, 2852, 1012, 3505, 12411, 7033, 1010, 1037, 2622, 21334, 2012, 12997, 1012, 2852, 1012, 12411, 7033, 8182, 1996, 10319, 4475, 1998, 2179, 2028, 6251, 1999, 1996, 14017, 28775, 12516, 3661, 2000, 2022, 1997, 3327, 3037, 1517, 1523, 2060, 2084, 2005, 6346, 2075, 1010, 1996, 5430, 4412, 2003, 2245, 2000, 2022, 16286, 7142, 2408, 1037, 2492, 1010, 2096, 1996, 5430, 2723, 10019, 2024, 2062, 21770, 10624, 6914, 14769, 2172, 2066, 2566, 20924, 2287, 2600, 1012, 1524, 2852, 1012, 12411, 7033, 14914, 2008, 2002, 5319, 2023, 2000, 2812, 2008, 2065, 1996, 5430, 2723, 4838, 2151, 3514, 2012, 2035, 1010, 2009, 2453, 2022, 13318, 1999, 2070, 2752, 2021, 4895, 21572, 26638, 1999, 2500, 1012, 2002, 4358, 2008, 1996, 9592, 1997, 3112, 2005, 1996, 4971, 4232, 1041, 1011, 1016, 2020, 2028, 1999, 2702, 1010, 2030, 4298, 2028, 1999, 2274, 1012, 3660, 2512, 14586, 1010, 2019, 3992, 1010, 4146, 1037, 11540, 3330, 4106, 2006, 1996, 2092, 1012, 2512, 14586, 1521, 1055, 2192, 15773, 3964, 5769, 1024, 1523, 1008, 3953, 2240, 1011, 2123, 1521, 1056, 2031, 2151, 2537, 2951, 4276, 1037, 11238, 1012, 1012, 1012, 1012, 2023, 2003, 1037, 3748, 11266, 2025, 3569, 2011, 2537, 2951, 2021, 3891, 2000, 10377, 2003, 2200, 2152, 1012, 15264, 1031, 14387, 1033, 2659, 3465, 2000, 2079, 2128, 4765, 2854, 1012, 1524, 12997, 3530, 2000, 5589, 1010, 1998, 12997, 1998, 6044, 3514, 2772, 1037, 6577, 3661, 3820, 2008, 2649, 1996, 7863, 1997, 1996, 2622, 2000, 1523, 2784, 2368, 1996, 8109, 11540, 4971, 4232, 1041, 1001, 1016, 2013, 2049, 2783, 14595, 1997, 6564, 23833, 1005, 2000, 1009, 1013, 1011, 7706, 2692, 1005, 2000, 3231, 1996, 9155, 4645, 2121, 5430, 2723, 4224, 1012, 1524, 12997, 2036, 3530, 2000, 3477, 2753, 3867, 1997, 1996, 15827, 5366, 1010, 1999, 3863, 2005, 1037, 2753, 3867, 3745, 1997, 1996, 11372, 2065, 1996, 2622, 2020, 2000, 9510, 1012, 1996, 4101, 4082, 3820, 2077, 15827, 2211, 1010, 6044, 3514, 1010, 12997, 1010, 1998, 2035, 1996, 9387, 6472, 1037, 7721, 4101, 4082, 3820, 1006, 8183, 2050, 1007, 1012, 1996, 8183, 2050, 2003, 1037, 2433, 3206, 20877, 5313, 11644, 2011, 1996, 2137, 2523, 1997, 11540, 2455, 3549, 1998, 2003, 2109, 2802, 1996, 3068, 1012, 1996, 2048, 8910, 1997, 1996, 8183, 2050, 2008, 2024, 2012, 3277, 1999, 2023, 2553, 3073, 2004, 4076, 1024, 1031, 12997, 1010, 2004, 1996, 6872, 2052, 1033, 3613, 1996, 15827, 1997, 1996, 2092, 2007, 2349, 29454, 29206, 3401, 2000, 1037, 5995, 1997, 6205, 17788, 1005, 2917, 1996, 3302, 1997, 1996, 2598, 2030, 1037, 5995, 7182, 2000, 3231, 1996, 2896, 9155, 4645, 2121, 4195, 1010, 29221, 2003, 8276, 1010, 4983, 9753, 2030, 2060, 8134, 17727, 8625, 6494, 3468, 9415, 2030, 4650, 1999, 1996, 4920, 1010, 2029, 17552, 2015, 2582, 15827, 17727, 22648, 14656, 1010, 2003, 8567, 2012, 1037, 8276, 5995, 1010, 2030, 4983, 2035, 4243, 5993, 2000, 3143, 2030, 10824, 1996, 2092, 2012, 1037, 8276, 5995, 1012, 1012, 1012, 1012, 1012, 1031, 12997, 1033, 4618, 2031, 2053, 14000, 2004, 6872, 2000, 1996, 2060, 4243, 2005, 6409, 8760, 2030, 22393, 14680, 22667, 1010, 3272, 2107, 2004, 2089, 2765, 2013, 7977, 27988, 2030, 2097, 3993, 23337, 1012, 1996, 15827, 2006, 2285, 1017, 1010, 2722, 1010, 12997, 2211, 15827, 1996, 4971, 4232, 1041, 1011, 1016, 1010, 1998, 1010, 2004, 7420, 1999, 1996, 10319, 4475, 1010, 12997, 8567, 6228, 8190, 2008, 4821, 3445, 1996, 5366, 1997, 15827, 2000, 1002, 4229, 2509, 1010, 2199, 1010, 2612, 1997, 1002, 26267, 1010, 22810, 2004, 2761, 11310, 1012, 12997, 3825, 2035, 15827, 11727, 2004, 2027, 2020, 22667, 1010, 8074, 1037, 4013, 9350, 2050, 24964, 14905, 28393, 3672, 2013, 1996, 2060, 9387, 1999, 10388, 2007, 1996, 8183, 2050, 1012, 2006, 1996, 3944, 1997, 2285, 2861, 1010, 2722, 1010, 20726, 1010, 12411, 7033, 1010, 1998, 17840, 2020, 3974, 3246, 2138, 2027, 2020, 23454, 1996, 4539, 5995, 1010, 1998, 2045, 2020, 2053, 5751, 1997, 3514, 1012, 2012, 2055, 2184, 1052, 1012, 1049, 1012, 1010, 1996, 8494, 21197, 4590, 5411, 1996, 2093, 2273, 1998, 2356, 2054, 2027, 2359, 2032, 2000, 2079, 2007, 1996, 3514, 1998, 3806, 1523, 3065, 1524, 1999, 1996, 7099, 1012, 2852, 1012, 12411, 7033, 14914, 2002, 2001, 4527, 2000, 2031, 2018, 3065, 2012, 2023, 5995, 1517, 2002, 2245, 2027, 2018, 2525, 24311, 2205, 2784, 1998, 2020, 2627, 1996, 2181, 2073, 2002, 3517, 2000, 2424, 3514, 1998, 3806, 1012, 10655, 1010, 17840, 14914, 2002, 2245, 2027, 2018, 1037, 4318, 4920, 1523, 2138, 2057, 2018, 24311, 2627, 1996, 2391, 2008, 1045, 2018, 10173, 2008, 2057, 2052, 8087, 2023, 2896, 7859, 4224, 1012, 1524, 2852, 1012, 12411, 7033, 14914, 2008, 1010, 1999, 2236, 1010, 9224, 2113, 2008, 2009, 2003, 4187, 2025, 2000, 12913, 2627, 1996, 14437, 2391, 2138, 1010, 2320, 1037, 2092, 25316, 2046, 2300, 1010, 2009, 2097, 3965, 2069, 2300, 1998, 2025, 3514, 1012, 2852, 1012, 17840, 2001, 6427, 1010, 2241, 2006, 1996, 17710, 5521, 2015, 3399, 1010, 2008, 1996, 2092, 2001, 2525, 2627, 2049, 14437, 2391, 1010, 1998, 2852, 1012, 12411, 7033, 2036, 2245, 2009, 2001, 2205, 2784, 1012, 2087, 1997, 12997, 1521, 1055, 5126, 14914, 2008, 1996, 4971, 4232, 1041, 1011, 1016, 2001, 24311, 2000, 1037, 5995, 7182, 2000, 3231, 1996, 2896, 9155, 4645, 2121, 1010, 2021, 1996, 23953, 1521, 8519, 14914, 2000, 1996, 10043, 1012, 1996, 3820, 2000, 3143, 1996, 2092, 1996, 3065, 2020, 2204, 2739, 1010, 2021, 2027, 3591, 1037, 21883, 1012, 1999, 2344, 2000, 2448, 1037, 3231, 1998, 5646, 3251, 1996, 3065, 2941, 5393, 3278, 12450, 1997, 3514, 1010, 2009, 2052, 2022, 4072, 2000, 2275, 8667, 2000, 19444, 1996, 2217, 1997, 1996, 2092, 4920, 1012, 4292, 8667, 2052, 4867, 1996, 4920, 1010, 1998, 2138, 1997, 1996, 5995, 1998, 1996, 2287, 1997, 4971, 4232, 1041, 1011, 1016, 1010, 1996, 4920, 2001, 4867, 2525, 1012, 2044, 1037, 3231, 2001, 2448, 1998, 1996, 4920, 2001, 8061, 1010, 2009, 2052, 3961, 8186, 2825, 2000 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1015, 1012, 4955, 1063, 1001, 10819, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 16452, 3155, 4090, 2454, 2111, 2020, 2542, 2007, 9820, 1999, 2249, 1032, 1031, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 2145, 1010, 2045, 2020, 2055, 1016, 1012, 1016, 2454, 2047, 15245, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1032, 1033, 1012, 2144, 1996, 2927, 1997, 1996, 16311, 3053, 2382, 2454, 2111, 2031, 2351, 1997, 8387, 1006, 3734, 10047, 23041, 10244, 8873, 29125, 8715, 1007, 3141, 5320, 1032, 1031, 1031, 1030, 29491, 1033, 1010, 1031, 1030, 1038, 2475, 1033, 1010, 1031, 1030, 1038, 2549, 1033, 1032, 1033, 1012, 2055, 2570, 1012, 1023, 2454, 2029, 2003, 6163, 1003, 1997, 2216, 2542, 2007, 9820, 1013, 8387, 16452, 2024, 1999, 3088, 2295, 2069, 2055, 2260, 1003, 1997, 1996, 2088, 1032, 1005, 1055, 2313, 3268, 1999, 1996, 2555, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1032, 1033, 1012, 1999, 3408, 1997, 13356, 1010, 1996, 2555, 5836, 2055, 6535, 1003, 1997, 8387, 13356, 16452, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 2429, 2000, 2249, 15101, 15982, 2740, 5002, 1996, 3452, 2120, 4639, 9820, 20272, 2003, 1015, 1012, 1019, 1003, 1012, 1996, 5002, 3662, 1996, 9820, 20272, 2001, 1016, 1012, 1016, 1003, 1999, 2572, 11077, 2555, 2029, 2003, 2179, 1999, 2167, 2225, 11154, 1032, 1031, 1031, 1030, 1038, 2575, 1033, 1032, 1033, 1012, 2529, 10047, 23041, 10244, 8873, 29125, 7865, 1006, 9820, 1007, 8985, 5260, 2000, 3734, 10047, 23041, 10244, 8873, 29125, 8715, 1006, 8387, 1007, 1998, 2350, 5320, 1997, 22822, 17062, 3012, 1998, 13356, 1997, 2107, 5022, 2024, 1051, 2483, 1032, 1031, 1031, 1030, 1038, 2581, 1033, 1032, 1033, 1012, 1051, 2483, 2064, 5258, 1999, 2039, 2000, 2871, 1003, 1997, 20228, 2860, 3270, 2007, 1037, 3729, 2549, 4175, 2625, 2084, 5539, 4442, 1013, 3461, 1034, 1017, 1034, 1032, 1031, 1031, 1030, 1038, 2620, 1033, 1032, 1033, 1012, 1037, 2120, 2817, 1999, 11154, 3662, 9820, 5022, 1032, 1005, 2018, 1051, 2483, 2066, 2014, 10374, 1062, 14122, 2121, 11228, 1006, 2539, 1012, 1017, 1003, 1007, 1010, 21908, 15877, 1006, 1019, 1012, 1016, 1003, 1007, 1010, 1998, 18583, 1006, 1019, 1012, 1016, 1003, 1007, 1032, 1031, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1012, 1996, 7972, 20272, 1997, 1051, 2483, 1999, 3653, 1011, 2396, 9820, 5022, 1032, 1005, 1999, 2048, 2913, 1999, 4514, 11154, 2001, 6070, 1012, 1023, 1003, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1998, 6445, 1012, 1018, 1003, 1032, 1031, 1031, 1030, 29491, 2487, 1033, 1032, 1033, 1012, 1996, 3291, 1997, 1044, 2615, 1998, 1051, 2483, 2003, 2145, 2152, 1999, 1996, 2817, 2181, 2295, 2045, 2003, 2053, 3188, 2334, 3350, 1999, 1996, 2817, 2181, 2947, 1996, 2783, 2817, 2052, 2507, 1996, 9367, 1997, 6595, 2489, 2013, 13868, 2128, 3270, 21512, 5582, 6728, 6442, 19496, 10074, 15245, 2044, 2049, 3949, 1998, 2049, 28283, 22311, 3372, 5876, 1012, 1996, 6434, 1997, 1996, 2817, 2097, 2022, 2109, 2000, 2933, 4219, 2734, 2005, 11888, 9820, 1013, 8387, 2729, 1998, 2000, 2113, 2967, 1997, 20228, 2860, 3270, 2445, 9686, 5051, 13247, 3086, 2076, 2729, 1012, 1996, 3350, 2003, 3517, 2000, 2022, 2109, 2011, 10605, 1998, 2512, 3995, 23062, 26901, 4411, 2551, 2006, 9820, 1013, 8387, 2030, 7731, 2075, 2009, 1999, 2344, 2000, 12367, 3343, 11153, 1998, 2966, 14617, 1012, 1016, 1012, 4725, 1998, 4475, 1063, 1001, 10819, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1016, 1012, 1015, 1012, 2817, 4292, 1998, 3120, 2313, 1063, 1001, 10819, 2475, 1012, 1015, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 2817, 2001, 4146, 1999, 2139, 13578, 28003, 2015, 2237, 2270, 2740, 4896, 2426, 4639, 3653, 1011, 2396, 20228, 2860, 3270, 2443, 2000, 11888, 9820, 2729, 2090, 2423, 2233, 2263, 1998, 2484, 2233, 2286, 1012, 2139, 13578, 28003, 2015, 2237, 2003, 2179, 25926, 20595, 2185, 2013, 5587, 2483, 19557, 3676, 1006, 1037, 3007, 2103, 1997, 11154, 1007, 1998, 2009, 2038, 2028, 6523, 7941, 2902, 1010, 2093, 2270, 2740, 6401, 1010, 2048, 17895, 17865, 1010, 1998, 2702, 2060, 2797, 17865, 1998, 2295, 2069, 1996, 6523, 7941, 2902, 1998, 2028, 2740, 2415, 4346, 11888, 9820, 2729, 2005, 1996, 9820, 1013, 8387, 5022, 1012, 2947, 2057, 6204, 1037, 2817, 2478, 15354, 2522, 27794, 2817, 2640, 2006, 2740, 4896, 4346, 11888, 9820, 2729, 1999, 1996, 2237, 1012, 1996, 3120, 7080, 2020, 2035, 4639, 2007, 2287, 2682, 2459, 2086, 20228, 2860, 3270, 2040, 2018, 11888, 9820, 2729, 1999, 1996, 2237, 2270, 2740, 4896, 1012, 20228, 2860, 3270, 2040, 2020, 2383, 12958, 2135, 8832, 3582, 2039, 4289, 1025, 2025, 4975, 1051, 2072, 2096, 5068, 2006, 9820, 11888, 2729, 1025, 2025, 2635, 3115, 3949, 2044, 4975, 1051, 2072, 2429, 2000, 1996, 15101, 3757, 1997, 2740, 5009, 4179, 1025, 1998, 3653, 1011, 2396, 6875, 2030, 18749, 29336, 2075, 10756, 2040, 2020, 2635, 1062, 13820, 17258, 3170, 2005, 9740, 1997, 2388, 2000, 2775, 6726, 1997, 9820, 1013, 8387, 2020, 12421, 2013, 1996, 2817, 1012, 1016, 1012, 1016, 1012, 16227, 1998, 2951, 3074, 7709, 1063, 1001, 10819, 2475, 1012, 1016, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 7099, 2946, 2001, 10174, 2241, 2006, 1996, 2048, 1011, 11536, 5345, 1003, 7023, 13483, 1998, 1017, 1012, 1019, 1003, 7785, 1997, 7561, 1998, 2011, 2478, 1996, 10817, 1997, 3653, 1011, 2396, 9820, 5022, 1032, 1005, 2383, 1051, 2072, 1999, 4514, 11154, 2817, 1010, 2029, 2001, 6070, 1012, 1023, 1003, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1032, 1033, 1012, 1996, 10174, 7099, 2946, 2478, 2330, 1011, 4958, 2072, 2544, 1016, 1012, 1017, 2089, 2268, 2001, 17196, 2059, 2044, 5815, 2184, 1003, 9530, 3436, 11916, 1996, 2345, 2001, 28358, 1012, 2055, 25103, 2475, 20228, 2860, 3270, 2040, 13883, 1996, 10502, 9181, 2020, 2128, 15549, 3064, 2013, 1996, 2525, 2800, 2862, 1997, 20228, 2860, 3270, 2040, 2020, 2006, 11888, 9820, 2729, 1999, 2396, 17865, 1012, 1998, 2059, 4989, 1997, 6818, 2001, 2081, 2011, 11243, 3722, 6721, 16227, 7709, 2478, 6721, 2193, 2795, 1012, 1996, 2734, 2951, 2003, 2800, 2006, 2817, 6818, 1032, 1005, 3949, 4003, 1998, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 2029, 2009, 2003, 2179, 1999, 1996, 2396, 9349, 2021, 6524, 2027, 2089, 6148, 3949, 2041, 1011, 2125, 2037, 3582, 1011, 2039, 9349, 1012, 2947, 1999, 2344, 2000, 5547, 23123, 7691, 4297, 28578, 4765, 1010, 2817, 6818, 2020, 2356, 2011, 2951, 14256, 2055, 3949, 2381, 2041, 1997, 1996, 3582, 1011, 2039, 2740, 5145, 1998, 2005, 2216, 2725, 2009, 1010, 1996, 3949, 2001, 7039, 1998, 10061, 2098, 1999, 1996, 7972, 2740, 4896, 1012, 6224, 3949, 2041, 1997, 1996, 3582, 1011, 2039, 2740, 5145, 2001, 2356, 2043, 20228, 2860, 3270, 2272, 2000, 2740, 5145, 2005, 3582, 1011, 2039, 2030, 3949, 2030, 2011, 2478, 5068, 4769, 2006, 3582, 1011, 2039, 2433, 2066, 3042, 2193, 2030, 17710, 8671, 2063, 1010, 2160, 2193, 2029, 2001, 2109, 2000, 2131, 2000, 2068, 1012, 2951, 3074, 6602, 2001, 2764, 2013, 2976, 3757, 1997, 2740, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 2029, 2003, 2109, 1999, 1996, 2396, 9349, 1998, 2036, 1996, 5776, 1032, 1005, 1055, 4003, 1012, 1996, 2951, 2001, 5067, 2011, 15252, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 1998, 5022, 1032, 1005, 4003, 1012, 2426, 1037, 3809, 1997, 5911, 11702, 1006, 2066, 3729, 2549, 4175, 1010, 19610, 8649, 4135, 8428, 3643, 1010, 4578, 1010, 1998, 3635, 1007, 1996, 2087, 7205, 2000, 1996, 2817, 2558, 2020, 2579, 2004, 26163, 6459, 1012, 1998, 2426, 1996, 3809, 11702, 2864, 2006, 20228, 2860, 3270, 2096, 2016, 1013, 2002, 2003, 2443, 2006, 1996, 2817, 1010, 1996, 7205, 2000, 1996, 1051, 2072, 28667, 3126, 24413, 2030, 8292, 29577, 2098, 2001, 2579, 2004, 1996, 2203, 2240, 2030, 3582, 1011, 2039, 5300, 1012, 6226, 1997, 1051, 2072, 2489, 9367, 2001, 2589, 2011, 15252, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 2030, 5776, 4003, 1999, 2396, 9349, 2030, 2041, 1997, 2396, 9349, 2065, 2817, 6818, 6148, 3949, 2041, 1997, 2396, 9349, 1012, 2817, 6818, 2040, 2707, 2396, 1013, 4530, 1011, 2041, 1013, 3279, 3582, 1011, 2039, 1013, 4015, 2041, 1013, 2757, 2011, 2151, 4295, 2060, 2084, 1051, 2072, 1013, 3426, 1997, 2331, 2025, 4484, 2096, 2006, 2817, 2030, 2025, 4975, 1051, 2072, 2012, 2203, 1997, 1996, 2817, 2558, 2020, 8292, 29577, 2098, 1012, 1037, 3479, 1998, 4738, 2740, 8390, 2551, 1999, 2396, 17865, 1999, 2169, 2740, 5145, 2020, 2109, 2004, 2951, 14256, 1998, 22565, 1012, 1016, 1012, 1017, 1012, 6515, 6210, 1063, 1001, 10819, 2475, 1012, 1017, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1008, 7691, 1008, 1012, 9367, 1997, 2489, 1997, 1051, 2072, 2128, 3270, 21512, 5582, 1012, 1008, 8292, 29577, 2098, 1008, 1012, 2512, 16570, 9331, 3366, 1997, 1051, 2072, 1999, 2817, 13180, 2076, 3582, 1011, 2039, 2006, 2817, 1010, 2021, 2925, 2128, 2721, 29251, 2003, 9662, 1012, 28667, 3126, 24413, 1013, 2128, 3270, 21512, 2078, 1013, 2128, 2721, 29251, 1024, 6230, 2030, 11616, 1997, 2151, 2828, 1997, 1051, 2483, 2011, 2740, 3167, 2015, 2551, 1999, 2396, 9349, 2044, 7678, 1996, 11003, 3949, 1997, 2151, 2828, 1997, 1051, 2072, 1012, 1008, 4530, 2041, 1008, 1012, 2065, 1037, 20228, 2860, 3270, 2006, 9820, 2729, 2439, 2000, 3582, 1011, 2039, 2005, 2062, 2084, 2093, 2706, 2004, 2680, 2011, 2396, 2740, 5073, 1012, 1008, 2439, 2000, 3582, 1011, 2039, 1008, 1012, 2065, 20228, 2860, 3270, 2006, 9820, 2729, 2025, 2464, 2005, 5020, 2000, 2030, 2062, 2084, 2028, 3204, 2004, 2680, 2011, 2396, 2740, 5073, 1012, 1008, 4015, 2041, 1012, 1008, 2065, 20228, 2860, 3270, 2006, 9820, 2729, 1999, 2028, 2740, 5145, 5670, 2000, 2060, 2740, 5145, 1012, 1008, 2204, 29235, 1008, 1012, 2065, 20228, 2860, 3270, 25276, 3372, 1609, 2683, 2629, 1003, 2008, 2003, 1996, 7017, 1997, 4771, 13004, 2003, 1032, 1026, 1016, 21656, 1997, 2382, 21656, 2030, 1032, 1026, 1017, 13004, 1997, 3438, 13004, 2004, 8832, 2011, 2396, 2740, 5073, 1012, 1008, 4189, 29235, 1008, 1012, 2065, 20228, 4048, 2615, 25276, 3372, 5594, 1011, 1011, 6365, 1003, 2008, 2003, 1996, 7017, 1997, 4771, 13004, 2003, 1017, 1011, 1011, 1019, 21656, 1997, 2382, 21656, 2030, 1017, 1011, 1011, 1023, 13004, 1997, 3438, 13004, 2004, 8832, 2011, 2396, 2740, 5073, 1012, 1008, 3532, 29235, 1008, 1012, 2065, 20228, 4048, 2615, 25276, 3372, 1032, 1026, 5594, 1003, 2008, 2003, 1996, 7017, 1997, 4771, 13004, 2003, 1609, 2575, 21656, 1997, 2382, 21656, 2030, 1032, 1028, 1023, 13004, 1997, 3438, 13004, 2004, 8832, 2011, 2396, 2740, 5073, 1012, 1016, 1012, 1018, 1012, 2951, 3737, 2968, 1998, 7778, 4106, 1063, 1001, 10819, 2475, 1012, 1018, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2000, 5441, 2951, 3737, 2731, 2001, 2445, 2005, 2951, 14256, 1998, 2005, 22565, 1012, 7919, 2881, 2951, 3074, 3430, 2001, 2764, 2013, 15101, 2976, 3757, 1997, 2740, 11888, 9820, 2729, 3582, 1011, 2039, 2433, 1998, 5022, 1032, 1005, 4003, 1012, 2000, 4638, 6149, 2951, 3074, 2184, 1003, 1997, 1996, 7099, 2001, 2128, 7875, 20528, 10985, 2011, 22565, 1012, 1996, 2951, 2020, 3313, 3133, 2011, 4738, 2951, 7805, 2000, 4638, 6149, 2951, 4443, 1012, 2044, 7678, 2951, 4443, 1010, 2041, 14355, 2015, 1998, 2151, 4771, 5300, 2020, 7039, 2478, 6075, 1010, 10328, 1010, 1998, 22210, 1998, 2151, 4453, 7561, 2012, 2151, 3357, 2001, 13371, 2011, 7065, 9355, 1996, 2434, 2951, 24504, 4289, 1012, 2044, 16861, 2169, 24504, 4289, 1010, 2951, 2001, 3133, 1999, 2000, 4958, 2072, 18558, 2544, 1017, 1012, 1019, 1012, 1015, 7778, 7427, 1012, 4106, 1997, 2951, 2001, 2589, 2478, 2330, 1011, 4958, 2072, 2544, 1016, 1012, 1017, 2089, 2268, 1010, 11867, 4757, 2544, 2322, 1010, 1998, 28093, 2050, 2544, 2340, 7778, 14555, 1012, 18949, 3446, 2001, 10174, 2011, 16023 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1000, 26511, 22582, 7160, 12967, 1010, 2023, 2003, 20934, 28483, 8950, 3578, 1012, 1000, 1000, 2079, 2017, 3191, 1029, 1000, 1000, 26511, 22582, 7160, 12967, 1010, 2023, 2003, 20934, 28483, 8950, 3578, 1012, 1000, 1000, 2079, 2017, 3191, 1029, 1000, 1000, 13399, 1010, 1000, 1000, 26511, 22582, 7160, 12967, 1012, 1000, 1000, 2027, 1005, 2128, 2125, 2607, 1998, 2104, 1996, 21096, 9663, 1012, 1000, 1000, 26511, 22582, 7160, 12967, 1010, 2079, 2017, 3191, 1029, 1000, 1000, 2272, 2157, 2000, 6185, 2692, 1012, 1000, 1000, 7160, 12967, 1010, 2079, 2017, 3191, 1029, 1000, 1000, 2009, 1005, 1055, 3823, 2041, 1012, 1000, 1000, 7160, 12967, 1010, 11113, 11589, 1012, 1000, 1000, 7160, 12967, 1010, 11113, 11589, 999, 1000, 1000, 7160, 12967, 1010, 11113, 11589, 999, 1000, 1000, 11113, 11589, 999, 1000, 1000, 2448, 999, 1000, 1000, 2474, 1019, 2595, 2692, 2475, 100, 4254, 2434, 2250, 3058, 2006, 2255, 1015, 1010, 2286, 1000, 1000, 1027, 1027, 26351, 1010, 13371, 2011, 6422, 2386, 1027, 1027, 1030, 6422, 1035, 2158, 1000, 1000, 2129, 1005, 1055, 2002, 2725, 1029, 1000, 1000, 2979, 2010, 9345, 4877, 1010, 2157, 1029, 1000, 1000, 2821, 1010, 2007, 3909, 6087, 1012, 1000, 1000, 2061, 2002, 1005, 1055, 2204, 2000, 2175, 1012, 1000, 1000, 2031, 2017, 5720, 2000, 9266, 5705, 1029, 1000, 1000, 2002, 3544, 2000, 2022, 11326, 2026, 4455, 1012, 1000, 1000, 2008, 1005, 1055, 11655, 10431, 1012, 1000, 1000, 5262, 1012, 1000, 1000, 2821, 1010, 2026, 2643, 1012, 1000, 1000, 7861, 20214, 2239, 2058, 11066, 1012, 1000, 1000, 2122, 4364, 2013, 2197, 2305, 2024, 2785, 1997, 4439, 2033, 12264, 1012, 1000, 1000, 2029, 2028, 1029, 1000, 1000, 7627, 1029, 1000, 1000, 4074, 1012, 1000, 1000, 2054, 2003, 2008, 1029, 1000, 1000, 2019, 4540, 1997, 9781, 1029, 1000, 1000, 1037, 4060, 2571, 1029, 1000, 1000, 2008, 2941, 3504, 2066, 1037, 1011, 1037, 1012, 1012, 1012, 1000, 1000, 2821, 1010, 2026, 2643, 1010, 2182, 1005, 1055, 7627, 1012, 1000, 1000, 1000, 2204, 2851, 1010, 3376, 1012, 1000, 1000, 1000, 1000, 2092, 1010, 2204, 2851, 2000, 2017, 1010, 1000, 27420, 2227, 1012, 1000, 1000, 2017, 2657, 2013, 2035, 2093, 1029, 1000, 1000, 4033, 1005, 1056, 2017, 1029, 1000, 1000, 7910, 1010, 2053, 1012, 1000, 1000, 2026, 1010, 7910, 1010, 3042, 1005, 1055, 2125, 1012, 1000, 1000, 1045, 2812, 1010, 2040, 2234, 2039, 2007, 2023, 2967, 3334, 2518, 4312, 1029, 1000, 1000, 2017, 2113, 1010, 2093, 2335, 1996, 13893, 2987, 1005, 1056, 4025, 8317, 2135, 2614, 1012, 1000, 1000, 2028, 1011, 2006, 1011, 2028, 2003, 2919, 2438, 1012, 1000, 1000, 1045, 2113, 1010, 2021, 3123, 2001, 2061, 7568, 1010, 1998, 1010, 2017, 2113, 1010, 2016, 2428, 3791, 2000, 2131, 2041, 1998, 3113, 4364, 1012, 1000, 1000, 3398, 1010, 2008, 2031, 1037, 8187, 1012, 1000, 1000, 2009, 1005, 1055, 4011, 2000, 2022, 4569, 1012, 1000, 1000, 2093, 4364, 1010, 2093, 3057, 1010, 2053, 3778, 1010, 2053, 10908, 1012, 1000, 1000, 1045, 1005, 1049, 3374, 1012, 1000, 1000, 2093, 1005, 1055, 1037, 4306, 1012, 1000, 1000, 2003, 2008, 1037, 2540, 2030, 1037, 10007, 1029, 1000, 1000, 2017, 2113, 2054, 1029, 1000, 1000, 2182, 1005, 1055, 2019, 2742, 1012, 1000, 1000, 2093, 6468, 1010, 20934, 10623, 3709, 1012, 1000, 1000, 2093, 2210, 10369, 17252, 1010, 3506, 27885, 22779, 9250, 1012, 1000, 1000, 2093, 6397, 12328, 1010, 17448, 3013, 2125, 1012, 1000, 1000, 1045, 2572, 4129, 2017, 1010, 2111, 2707, 4288, 2169, 2060, 2043, 1996, 8522, 2003, 2093, 1012, 1000, 1000, 4687, 2065, 3123, 2288, 2151, 4455, 1012, 1000, 1000, 3398, 1010, 2069, 2065, 2028, 1997, 2068, 3333, 2757, 1012, 1000, 1000, 2017, 1005, 2128, 2919, 1012, 1000, 1000, 2553, 2006, 5877, 1012, 1000, 1000, 2821, 1010, 2182, 2057, 2175, 1012, 1000, 1000, 2606, 12690, 1029, 1000, 1000, 2053, 1010, 1045, 2228, 2009, 1005, 1055, 1037, 2047, 3797, 1012, 1000, 1000, 3524, 1037, 2117, 1012, 1000, 1000, 2024, 2216, 1012, 1012, 1012, 1029, 1000, 1000, 15624, 1010, 1045, 2572, 4147, 6471, 1012, 1000, 1000, 6517, 2227, 1012, 1000, 1000, 2054, 1010, 2017, 2288, 2214, 10406, 1005, 1055, 2972, 3888, 1999, 2045, 1029, 1000, 1000, 7910, 1010, 2009, 1005, 1055, 2074, 2026, 3566, 1012, 1000, 1000, 2074, 2014, 3566, 1012, 1000, 1000, 2092, 1010, 2092, 1010, 2092, 1012, 1000, 1000, 2298, 2040, 1005, 1055, 4147, 2502, 1011, 2879, 6471, 1012, 1000, 1000, 21770, 3723, 2288, 2033, 2122, 1012, 1000, 1000, 1045, 2812, 1010, 2017, 2145, 2031, 1996, 27468, 2015, 1010, 2021, 2009, 1005, 1055, 1037, 2707, 1012, 1000, 1000, 2453, 2004, 2092, 2022, 4147, 1037, 27468, 1012, 1000, 1000, 2644, 1059, 20535, 3070, 1012, 1000, 1000, 2748, 1010, 5003, 1005, 2572, 1012, 1000, 1000, 2220, 2023, 2851, 1010, 1037, 2797, 6892, 1010, 2006, 2049, 2126, 2013, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 8007, 2012, 20934, 28483, 8950, 3199, 1012, 1000, 1000, 2045, 1005, 1055, 2053, 2592, 2004, 2000, 2339, 1996, 4946, 2253, 2091, 1010, 2021, 2012, 2023, 2220, 3178, 1010, 2009, 2515, 3711, 2053, 2028, 2006, 2604, 5175, 1012, 1000, 1000, 2054, 2106, 2250, 4026, 2491, 2360, 1029, 1000, 1000, 1996, 3578, 2439, 3967, 2007, 1996, 6892, 2588, 3921, 1012, 1000, 1000, 1996, 4946, 2596, 2000, 2022, 2006, 1037, 12365, 2607, 2077, 2310, 7999, 2125, 2012, 1996, 2197, 2617, 1010, 12894, 1012, 1000, 1000, 4405, 7561, 1029, 1000, 1000, 2071, 2031, 15849, 12326, 1996, 9271, 1012, 1000, 1000, 2672, 1010, 2030, 9444, 2001, 3909, 1996, 4946, 2018, 1037, 3154, 4539, 1999, 2568, 1012, 1000, 1000, 2030, 2672, 2027, 4771, 1037, 4539, 1012, 1000, 1000, 2009, 1005, 1055, 2040, 1005, 1055, 2006, 2604, 2008, 5426, 2149, 1012, 1000, 1000, 2280, 3580, 5902, 2520, 11764, 1012, 1000, 1000, 2002, 2001, 1037, 3145, 2447, 1999, 1996, 2162, 2006, 7404, 1012, 1000, 1000, 3140, 2046, 2220, 5075, 2702, 2706, 3283, 1012, 1000, 1000, 11764, 1005, 1055, 4895, 19023, 19574, 6256, 1997, 1996, 3447, 2439, 2032, 2010, 3105, 1998, 1037, 2835, 2006, 1996, 4101, 9058, 1997, 3095, 1012, 1000, 1000, 2054, 2001, 2002, 2725, 1999, 1048, 1012, 1037, 1012, 1029, 1000, 1000, 2429, 2000, 2023, 1010, 2002, 2001, 20138, 2075, 1037, 2338, 3066, 1012, 1000, 1000, 1000, 29505, 6750, 1010, 1037, 15544, 19510, 2075, 4070, 1997, 1996, 3606, 2369, 1996, 19377, 1012, 1000, 1000, 1000, 3520, 1998, 1045, 2097, 4638, 2041, 1996, 3199, 1012, 1000, 1000, 6358, 5332, 1012, 1012, 1012, 1000, 1000, 7910, 1010, 2017, 1005, 2222, 2022, 2635, 6358, 5332, 2007, 2017, 1010, 1000, 1000, 2720, 1012, 2655, 2368, 1012, 1000, 1000, 2821, 1010, 2307, 1010, 2026, 2353, 1011, 5217, 3570, 2081, 2880, 1012, 1000, 1000, 2025, 2651, 1012, 1000, 1000, 3520, 2038, 2019, 6098, 1012, 1000, 1000, 2821, 1012, 1000, 1000, 2007, 2040, 1029, 1000, 1000, 2008, 2052, 2022, 2033, 1012, 1000, 1000, 8253, 1012, 1000, 1000, 2204, 2851, 1012, 1000, 1000, 2017, 2215, 2033, 2000, 2156, 2178, 22802, 1029, 1000, 1000, 7910, 1010, 1045, 2123, 1005, 1056, 2228, 1000, 1000, 2720, 1012, 2131, 2480, 2003, 1000, 2178, 22802, 1012, 1000, 1000, 1000, 2002, 4282, 2017, 1010, 2115, 2627, 1012, 1000, 1000, 1998, 2002, 4282, 1045, 17523, 2067, 3435, 1012, 1000, 1000, 2130, 1996, 2087, 25634, 8313, 11651, 2041, 2776, 1012, 1000, 1000, 2003, 2008, 2054, 2017, 2228, 1010, 1000, 1000, 21770, 3723, 1029, 1000, 1000, 2017, 2228, 1045, 1005, 1049, 6247, 2041, 1029, 1000, 1000, 1045, 4737, 2008, 2017, 2097, 2022, 2065, 2017, 2123, 1005, 1056, 2202, 2729, 1997, 4426, 1012, 1000, 1000, 4133, 2091, 1010, 1000, 1000, 2720, 1012, 10579, 1012, 1000, 1000, 1045, 2123, 1005, 1056, 2113, 2054, 2062, 2017, 2215, 2013, 2033, 1010, 21770, 3723, 1012, 1000, 1000, 1045, 2979, 2026, 3558, 2026, 8827, 17994, 7667, 1012, 1000, 1000, 2031, 1045, 2412, 2409, 2017, 2055, 1996, 2051, 1045, 2253, 6397, 1029, 1000, 1000, 2009, 2001, 1999, 12899, 1012, 1000, 1000, 1045, 2001, 2061, 5462, 2000, 2026, 8775, 2008, 1045, 2253, 2005, 3134, 4493, 2006, 2210, 2062, 2084, 9728, 1998, 14380, 19673, 1012, 1000, 1000, 2061, 2043, 1010, 2012, 2197, 1010, 2026, 4539, 3591, 2993, 1010, 1000, 1000, 1045, 2071, 4510, 2156, 2000, 3143, 2026, 3260, 1012, 1000, 1000, 17663, 1037, 18888, 1012, 1000, 1000, 1045, 2202, 1037, 4800, 28403, 10020, 1012, 1000, 1000, 2821, 1010, 2272, 2006, 1012, 1000, 1000, 3374, 1010, 21770, 3723, 1012, 1000, 1000, 1045, 2131, 2009, 1010, 2021, 1045, 2876, 1005, 1056, 2022, 2182, 2065, 1045, 2134, 1005, 1056, 2228, 1045, 2071, 2079, 1037, 2204, 3105, 1012, 1000, 1000, 2059, 1010, 2115, 3942, 2007, 2720, 1012, 2131, 2480, 2097, 2022, 1037, 8210, 5337, 3012, 1012, 1000, 1000, 2129, 1005, 1040, 2017, 2131, 2115, 4356, 2067, 1029, 1000, 1000, 25659, 2015, 1012, 1000, 1000, 2467, 4521, 2115, 25659, 2015, 1010, 2720, 1012, 10579, 1012, 1000, 1000, 3374, 1012, 1000, 1000, 1045, 2113, 2017, 2020, 2559, 2830, 2000, 2893, 2067, 2041, 2007, 3520, 1012, 1000, 1000, 3398, 1010, 2009, 1005, 1055, 1996, 2168, 2005, 2017, 1998, 9266, 5705, 1012, 1000, 1000, 2092, 1010, 2292, 1005, 1055, 2994, 3893, 1012, 1000, 1000, 2204, 2801, 1012, 1000, 1000, 2002, 2180, 1005, 1056, 2709, 2026, 4455, 1012, 1000, 1000, 2123, 1005, 1056, 2202, 2009, 7714, 1012, 1000, 1000, 3520, 1005, 1055, 2042, 6595, 2485, 2000, 2188, 2004, 2092, 1012, 1000, 1000, 1045, 2481, 1005, 1056, 2131, 2032, 2000, 2175, 2000, 1037, 18264, 2208, 1012, 1000, 1000, 3398, 1010, 1045, 4149, 2032, 1037, 13675, 2239, 4904, 1012, 1000, 1000, 1045, 2018, 5434, 5178, 1012, 1012, 1012, 1000, 1000, 2017, 4149, 2032, 1037, 2054, 1029, 1000, 1000, 1037, 13675, 2239, 4904, 1012, 1000, 1000, 2009, 1005, 1055, 1037, 13675, 10054, 22341, 1011, 23126, 24072, 8893, 1025, 1000, 1000, 9266, 5705, 7459, 2068, 1012, 1000, 1000, 1045, 2064, 2069, 2131, 2068, 1999, 2023, 2210, 18112, 1999, 2047, 2259, 2103, 1010, 1998, 1045, 2187, 2009, 2006, 2010, 26581, 1010, 1998, 2009, 1005, 1055, 2145, 2045, 1012, 1000, 1000, 2002, 1005, 2222, 2022, 3100, 1012, 1000, 1000, 3398, 1012, 1000, 1000, 2027, 2119, 2097, 1012, 1000, 1000, 1045, 1005, 1049, 6069, 2655, 4388, 1010, 2156, 2065, 2002, 3764, 2000, 1996, 1045, 1012, 1056, 1012, 4364, 1012, 1000, 1000, 13316, 2483, 1012, 1000, 1000, 11538, 1996, 2331, 1997, 3580, 5902, 11764, 1012, 1000, 1000, 2708, 4922, 1010, 1000, 1000, 2120, 5193, 3808, 2604, 1012, 1000, 1000, 2129, 2024, 2017, 1029, 1000, 1000, 2204, 6735, 2007, 2008, 1012, 1000, 1000, 2272, 2153, 1029, 1000, 1000, 2202, 1037, 2298, 1025, 2025, 2172, 2187, 1012, 1000, 1000, 2061, 2017, 4033, 1005, 1056, 2042, 2583, 2000, 2424, 2505, 2008, 7126, 4863, 1996, 5823, 1029, 1000, 1000, 2092, 1010, 2941, 1010, 2057, 1005, 2310, 3492, 2172, 2179, 2673, 3272, 1996, 2028, 2518, 2008, 2071, 2393, 1012, 1000, 1000, 1996, 2304, 3482, 1029, 1000, 1000, 1996, 12006, 2181, 2003, 3492, 2235, 1012, 1000, 1000, 2021, 2057, 2064, 1005, 1056, 2424, 1996, 3482, 5973, 1012, 1000, 1000, 2428, 1029, 1000, 1000, 2428, 1012, 1000, 1000, 3398, 1010, 2017, 2228, 2017, 2064, 2131, 3031, 2216, 2012, 2278, 7588, 1029, 1000, 1000, 2027, 1005, 2128, 2025, 2115, 2779, 12191, 2015, 1010, 6358, 5332, 1012, 1000, 1000, 1045, 1005, 1049, 1037, 29294, 1010, 2025, 1037, 2643, 1012, 1000, 1000, 4388, 1010, 3100, 1010, 2292, 2149, 2113, 2054, 2842, 2017, 2424, 1012, 1000, 1000, 2986, 1012, 1000, 1000, 1045, 1012, 1056, 1012, 4364, 4484, 1996, 3578, 3001, 2020, 4082, 7919, 1012, 1000, 1000, 2106, 1996, 8221, 2507, 2151, 12407, 2008, 2027, 2020, 2383, 3471, 1029, 1000, 1000, 2053, 1010, 2045, 2001, 2053, 3433, 2000, 2151, 1997, 1996, 4807, 4740, 1012, 1000, 1000, 2561, 2557, 4223, 1012, 1000, 1000, 1045, 1005, 1049, 2667, 2000, 2131, 4388, 2000, 20410, 2009, 1010, 2021, 2242, 1005, 1055, 2288, 2010, 12095, 1999, 1037, 9792, 1012, 1000, 1000, 2672, 2009, 1005, 1055, 2010, 2047, 6471, 1012, 1000, 1000, 5697, 2851, 1012, 1000, 1000, 2003, 2008, 2115, 1010, 7910, 1010, 2115, 3566, 2153, 1029, 1000, 1000, 1037, 2767, 1012, 1000, 1000, 2767, 1997, 2017, 1998, 6358, 5332, 1005, 1055, 1029, 1000, 1000, 3398, 1010, 2074, 2619, 1045, 5112, 2041, 2007, 2197, 2305, 1012, 1000, 1000, 2007, 6358, 5332, 1029, 1000, 1000, 2006, 1037, 3058, 1029, 1000, 1000, 1045, 2123, 1005, 1056, 2812, 1037, 3058, 2007, 6358, 5332, 1012, 1000, 1000, 2017, 2113, 2054, 1045, 2812, 1012, 1000, 1000, 2066, 1010, 6358, 5332, 1998, 1996, 3124, 2016, 1005, 1055, 2046, 1010, 2017, 1998, 1996, 3124, 2017, 1005, 2128, 2046, 1012, 1000, 1000, 2025, 2046, 2032, 1010, 2025, 2046, 2151, 1997, 2068, 1010, 1998, 4445, 2003, 6358, 5332, 1012, 1000, 1000, 23281, 1010, 23281, 1010, 23281, 1010, 2068, 1029, 1000, 1000, 3398, 1010, 3100, 1010, 2045, 1005, 1055, 2093, 1997 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1013, 1008, 1008, 9385, 2297, 1011, 2418, 2417, 6045, 1010, 4297, 1012, 1998, 1013, 2030, 2049, 18460, 1008, 1998, 2060, 16884, 2004, 5393, 2011, 1996, 1030, 3166, 22073, 1012, 1008, 1008, 7000, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1000, 6105, 1000, 1007, 1025, 1008, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 2007, 1996, 6105, 1012, 1008, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 1008, 1008, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 1008, 1008, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 4007, 1008, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1000, 2004, 2003, 1000, 3978, 1010, 1008, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 1008, 2156, 1996, 6105, 2005, 1996, 3563, 2653, 8677, 6656, 2015, 1998, 1008, 12546, 2104, 1996, 6105, 1012, 1008, 1013, 7427, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1025, 12324, 10763, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 2865, 13874, 1012, 4646, 1035, 1046, 3385, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1012, 2919, 2890, 15500, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1012, 2053, 8663, 6528, 2102, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1012, 8241, 2121, 29165, 1025, 12324, 10763, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 13874, 1012, 11343, 1025, 12324, 9262, 1012, 5658, 1012, 24471, 2072, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 2862, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 4949, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 19723, 10288, 1012, 7060, 6038, 2696, 2595, 10288, 24422, 1025, 12324, 9262, 2595, 1012, 6960, 1012, 6123, 1012, 5097, 16186, 2094, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 16678, 2015, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 3972, 12870, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 12398, 10175, 5657, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 2131, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 2695, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 2404, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4130, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4130, 28689, 2213, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 7137, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 23032, 28689, 2213, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 11661, 1012, 2004, 6038, 16748, 13102, 5644, 2063, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 11661, 1012, 6731, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 6123, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 3433, 1025, 12324, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 24471, 6137, 2078, 14876, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 23032, 2890, 15500, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1012, 9718, 1012, 12046, 16748, 4383, 16429, 8043, 6299, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1012, 9718, 1012, 3463, 18903, 5910, 2121, 6299, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 28213, 1012, 23561, 1012, 10047, 3388, 7277, 9688, 21222, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 11498, 2213, 1012, 2051, 5685, 24204, 3388, 28689, 5244, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 11498, 2213, 1012, 2051, 29560, 11589, 28689, 5244, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 17928, 21823, 4877, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 17928, 1012, 13118, 2869, 1012, 21183, 4014, 1012, 26618, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 4563, 1012, 2326, 1012, 4972, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 4563, 1012, 2326, 1012, 2344, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 4563, 1012, 2326, 1012, 19081, 1012, 8117, 17848, 7292, 9153, 27718, 5521, 22747, 2953, 5017, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 17928, 2121, 29165, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11343, 24204, 3388, 8400, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11343, 13874, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 13610, 2015, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 2951, 8400, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 3593, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 12046, 13874, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 13610, 8663, 8873, 2290, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 9367, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 6415, 18442, 2015, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 22073, 1025, 12324, 8917, 1012, 9881, 7934, 1012, 12046, 2015, 1012, 2944, 1012, 11498, 2213, 1012, 25309, 22043, 1025, 12324, 8917, 1012, 1046, 15853, 2015, 1012, 2717, 5243, 6508, 1012, 5754, 17287, 9285, 1012, 1043, 5831, 2361, 1025, 12324, 4012, 1012, 5514, 2595, 19968, 1012, 4027, 1012, 2951, 8428, 2094, 1012, 5754, 17287, 3508, 1012, 1046, 3385, 6155, 11610, 3669, 4371, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 25918, 3370, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 28689, 2213, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 6072, 26029, 3366, 1025, 12324, 22834, 1012, 25430, 27609, 1012, 5754, 17287, 9285, 1012, 17928, 6072, 26029, 8583, 1025, 12324, 1054, 2595, 1012, 27885, 8043, 12423, 1025, 12324, 1054, 2595, 1012, 6134, 2869, 1012, 6134, 2869, 1025, 1013, 1008, 1008, 1008, 1030, 3166, 8852, 11265, 17603, 2050, 1008, 1008, 1013, 1030, 4130, 1006, 1000, 1013, 11343, 1000, 1007, 1030, 16678, 2015, 1006, 4646, 1035, 1046, 3385, 1007, 1030, 7137, 1006, 4646, 1035, 1046, 3385, 1007, 1030, 1043, 5831, 2361, 1030, 17928, 1006, 22073, 1027, 1000, 11343, 1000, 1007, 1030, 5097, 16186, 2094, 1030, 26618, 2270, 2465, 11343, 11774, 3917, 8908, 12046, 18116, 7903, 24660, 21222, 22164, 10047, 3388, 7277, 9688, 21222, 1026, 11343, 13874, 1028, 1063, 1030, 2695, 1030, 4130, 1006, 1000, 1013, 1000, 1007, 1030, 17928, 25918, 3370, 1006, 3643, 1027, 1000, 3443, 11343, 12046, 1012, 1000, 1010, 3964, 1027, 1000, 2168, 3964, 2004, 4526, 7633, 12046, 6611, 1012, 1000, 1007, 1030, 17928, 6072, 26029, 8583, 1006, 3643, 1027, 1063, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 16345, 1010, 4471, 1027, 1000, 12046, 2580, 5147, 1000, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 4278, 1010, 4471, 1027, 1000, 4394, 2030, 19528, 18093, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 2871, 2683, 1010, 4471, 1027, 1000, 11343, 12046, 2007, 2445, 8909, 2525, 6526, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 3156, 1010, 4471, 1027, 1000, 12046, 4325, 3478, 2349, 2000, 2019, 9223, 7561, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1065, 1007, 2270, 11675, 3443, 12589, 1006, 1030, 6731, 2345, 2004, 6038, 16748, 13102, 5644, 2063, 2004, 6038, 16748, 13102, 5644, 2063, 1010, 1030, 17928, 28689, 2213, 1006, 3223, 1027, 2995, 1007, 12046, 1026, 11343, 13874, 1028, 12046, 1010, 1030, 17928, 28689, 2213, 1006, 3643, 1027, 1000, 2058, 26373, 3130, 2580, 12046, 9563, 2065, 2009, 6526, 1012, 1000, 1009, 1000, 2069, 2951, 20125, 1998, 22073, 2024, 2058, 26373, 2078, 1025, 4493, 2951, 2685, 2024, 4895, 2532, 25969, 2098, 1012, 12398, 2015, 2000, 6270, 1012, 1000, 1010, 3223, 1027, 6270, 1007, 1030, 12398, 10175, 5657, 1006, 1000, 6270, 1000, 1007, 1030, 23032, 28689, 2213, 1006, 1000, 2058, 26373, 1000, 1007, 22017, 20898, 2058, 26373, 1010, 1030, 6123, 24471, 6137, 2078, 14876, 24471, 6137, 2078, 14876, 1007, 1063, 2065, 1006, 12046, 1012, 2131, 13874, 1006, 1007, 999, 1027, 19701, 1004, 1004, 12046, 13874, 1012, 6151, 28344, 999, 1027, 12046, 1012, 2131, 13874, 1006, 1007, 1004, 1004, 12046, 13874, 1012, 11343, 999, 1027, 12046, 1012, 2131, 13874, 1006, 1007, 1007, 1063, 2004, 6038, 16748, 13102, 5644, 2063, 1012, 13746, 1006, 2919, 2890, 15500, 1006, 2047, 17928, 2121, 29165, 1006, 1000, 12046, 2828, 2515, 2025, 2674, 1000, 1009, 12046, 13874, 1012, 11343, 1012, 2131, 18209, 1006, 1007, 1007, 1007, 1007, 1025, 1065, 24471, 2072, 3295, 1027, 24471, 6137, 2078, 14876, 1012, 2131, 15058, 9496, 8569, 23891, 2099, 1006, 1007, 1012, 4130, 1006, 1000, 1013, 11343, 1013, 1063, 8909, 1065, 1000, 1007, 1012, 3857, 1006, 12046, 1012, 2131, 3593, 1006, 1007, 1007, 1025, 12046, 1027, 2047, 12046, 1026, 1028, 1006, 2047, 12046, 3593, 1026, 1028, 1006, 2131, 6528, 4630, 1006, 1007, 1010, 11343, 1010, 12046, 1012, 2131, 12589, 3593, 1006, 1007, 1012, 2131, 18442, 1006, 1007, 1007, 1010, 12046, 1012, 2131, 15900, 2015, 1006, 1007, 1010, 12046, 1012, 2131, 2850, 7559, 12870, 16778, 2239, 1006, 1007, 1007, 1025, 12046, 18116, 7903, 2063, 1012, 3443, 12589, 1006, 12046, 1010, 2058, 26373, 1007, 1012, 4942, 29234, 1006, 2047, 12046, 16748, 4383, 16429, 8043, 6299, 1006, 2004, 6038, 16748, 13102, 5644, 2063, 1010, 3295, 1007, 1007, 1025, 1065, 1030, 2131, 1030, 4130, 1006, 1000, 1013, 1000, 1007, 1030, 17928, 25918, 3370, 1006, 3643, 1027, 1000, 2424, 16713, 1005, 1055, 12046, 15182, 1012, 1000, 1010, 3964, 1027, 1000, 2515, 2025, 2421, 2151, 12046, 5300, 1012, 1000, 1010, 3433, 1027, 12046, 1012, 2465, 1010, 3433, 8663, 18249, 2121, 1027, 1000, 2862, 1000, 1007, 1030, 17928, 6072, 26029, 8583, 1006, 3643, 1027, 1063, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 3263, 1010, 4471, 1027, 1000, 5147, 5140, 2012, 2560, 2028, 12046, 6210, 1012, 1000, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 19627, 1010, 4471, 1027, 1000, 2053, 12046, 2015, 2179, 1012, 1000, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 4278, 1010, 4471, 1027, 1000, 19528, 2828, 16381, 2828, 1012, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1010, 1030, 17928, 6072, 26029, 3366, 1006, 3642, 1027, 3156, 1010, 4471, 1027, 1000, 3478, 2000, 12850, 12046, 2015, 2349, 2000, 9223, 7561, 1012, 1000, 1010, 3433, 1027, 17928, 2121, 29165, 1012, 2465, 1007, 1065, 1007, 2270, 11675, 2131, 12589, 2015, 1006, 1030, 6731, 2004, 6038, 16748, 13102, 5644, 2063, 2004, 6038, 16748, 13102, 5644, 2063, 1010, 1030, 17928, 28689, 2213, 1006, 3643, 1027, 1000, 2862, 1997, 22073, 17736, 1000, 1010, 3223, 1027, 6270, 1007, 1030, 23032, 28689, 2213, 1006, 1000, 22073, 1000, 1007, 5164, 22073, 1010, 1030, 17928, 28689, 2213, 1006, 3643, 1027, 1000, 18584, 8117, 1998, 4098, 2335, 15464, 4523, 1997, 2800, 2951, 26521, 1000, 1007, 1030, 12398, 10175, 5657, 1006, 1000, 6270, 1000, 1007, 1030, 23032, 28689, 2213, 1006, 1000, 2335, 15464, 4523, 1000, 1007, 22017, 20898, 18584, 7292, 9153, 25370, 1007, 1063, 27885, 8043, 12423, 1026, 12046, 1026, 11343, 13874, 1028, 1028, 12046, 16429, 8043, 12423, 1027, 19701, 1025, 2065, 1006, 22073, 999, 1027, 19701, 1007, 1063, 12046, 16429, 8043, 12423, 1027, 12046, 18116, 7903, 2063, 1012, 2424, 12589, 5178, 16778, 8873, 2545, 24415, 8873, 21928, 2015, 1006, 2131, 6528, 4630, 1006, 1007, 1010, 11343, 1010, 22073, 1007, 1012, 4257, 2863, 2361, 1006, 12046, 18116, 7903, 2063, 1024, 1024, 2424, 12589, 1007, 1025, 1065, 2842, 1063, 12046, 16429, 8043, 12423, 1027, 12046, 18116, 7903, 2063, 1012, 2424, 12589, 2015, 1006, 2131, 6528, 4630, 1006, 1007, 1010, 11343, 1007, 1025, 1065, 2065, 1006, 18584, 7292, 9153, 25370, 1007, 1063, 12046, 16429 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 6302, 1024, 1996, 4922, 8665, 2265, 17266, 3270, 5797, 9946, 2513, 2000, 1996, 8665, 2265, 2006, 9857, 2000, 2831, 2000, 4922, 2055, 2010, 14751, 4038, 1523, 1996, 3428, 24470, 1012, 1524, 1996, 4512, 3139, 2019, 9140, 1997, 7832, 7478, 2013, 2010, 4474, 4862, 1043, 3311, 2012, 1996, 7436, 2015, 2000, 1037, 3478, 3535, 2012, 1037, 15528, 8714, 16012, 24330, 1998, 2339, 2002, 4188, 2000, 3233, 2091, 2006, 1037, 6221, 8398, 8257, 1012, 4638, 2041, 2035, 1996, 4751, 2917, 1012, 3352, 1037, 4715, 7570, 10893, 5289, 2320, 17266, 3270, 3133, 1996, 2996, 1010, 4922, 3107, 1996, 2329, 9971, 1521, 1055, 14751, 2895, 4038, 1523, 1996, 3428, 24470, 1010, 1524, 2029, 2003, 2055, 2048, 2394, 3428, 5459, 2012, 1037, 2200, 2402, 2287, 1012, 2028, 2567, 7502, 2039, 2000, 2468, 1996, 2088, 1521, 1055, 2190, 3595, 4005, 1006, 2928, 2844, 1007, 2096, 1996, 2060, 4150, 1037, 4715, 7570, 10893, 5289, 1006, 17266, 3270, 5797, 9946, 1007, 1012, 4922, 2359, 2000, 2113, 2062, 2055, 2054, 2009, 3214, 2000, 2022, 1037, 7570, 10893, 5289, 1010, 2061, 17266, 3270, 4541, 2000, 2131, 2046, 2010, 2535, 2002, 2018, 2000, 3942, 1037, 2261, 4715, 4184, 1010, 2029, 2003, 2178, 2171, 2005, 1037, 9047, 1998, 2025, 1996, 3647, 3367, 2173, 2000, 2022, 5689, 2105, 1012, 17266, 3270, 5086, 1037, 16174, 2000, 2175, 2007, 2032, 2000, 3942, 2028, 1997, 1996, 2087, 4795, 2967, 1010, 1996, 2569, 3626, 1012, 1996, 3457, 2409, 2032, 1010, 1523, 4952, 1010, 2074, 2061, 2017, 2113, 1045, 1521, 1049, 2183, 2000, 2022, 23293, 1999, 1529, 2065, 3087, 4282, 2017, 1521, 2310, 2288, 1037, 16174, 1010, 2017, 1521, 2128, 1999, 4390, 1010, 1524, 1996, 3457, 2409, 17266, 3270, 1012, 2035, 1997, 1996, 5573, 1996, 16174, 2018, 2028, 5404, 2044, 2178, 1999, 2010, 2192, 1010, 17266, 3270, 2409, 4922, 1012, 2306, 1037, 2431, 3178, 1997, 5738, 1996, 9047, 1010, 17266, 3270, 1521, 1055, 3404, 2100, 3860, 2001, 2979, 2041, 2006, 1996, 2723, 1012, 1996, 3457, 2001, 1037, 2334, 3124, 1998, 4593, 2288, 1037, 2210, 2205, 2046, 2839, 2096, 2183, 1523, 16382, 1012, 1524, 8025, 2055, 1996, 9580, 1010, 17266, 3270, 2356, 2028, 2569, 3626, 2266, 2005, 1037, 6057, 2466, 1998, 2023, 2003, 2054, 2002, 2001, 2409, 1024, 1523, 2045, 1521, 1055, 2028, 2051, 1045, 2001, 1999, 5087, 1998, 2057, 11364, 2023, 2158, 1012, 2057, 2716, 2032, 2067, 2000, 2010, 2160, 1998, 2057, 2404, 25007, 7318, 2006, 3182, 2006, 2010, 2303, 2008, 2057, 5807, 1521, 1056, 2031, 1998, 2059, 2057, 8682, 2039, 2010, 7381, 1010, 1524, 1996, 7570, 10893, 5289, 2409, 17266, 3270, 1012, 17266, 3270, 3880, 1010, 1523, 7910, 1010, 2031, 2017, 2288, 2151, 2130, 4569, 14862, 3441, 1029, 1524, 4922, 2001, 15261, 2012, 1996, 3091, 2012, 2029, 17266, 3270, 2097, 2175, 2000, 2131, 2046, 2010, 3494, 2021, 2008, 2001, 2069, 1996, 5955, 1997, 1996, 3256, 4059, 1999, 2023, 5216, 5149, 2394, 3347, 1012, 2893, 2627, 1996, 6131, 11057, 4922, 2359, 2000, 2113, 2054, 5225, 17266, 3270, 2000, 3443, 2107, 3748, 1998, 2058, 1011, 1996, 1011, 2327, 5691, 2066, 1523, 8945, 8609, 1524, 1998, 1523, 10391, 1012, 1524, 1523, 1996, 4507, 2003, 2023, 1010, 7714, 1045, 2131, 2200, 11471, 3773, 2471, 2296, 3185, 1012, 1045, 2424, 2009, 2524, 2000, 4133, 2045, 1010, 1045, 2424, 2009, 2524, 2000, 2131, 2000, 1996, 2203, 1010, 1524, 17266, 3270, 2409, 2032, 1012, 1523, 1045, 3046, 2000, 2191, 2122, 3152, 11973, 1012, 1524, 4922, 4197, 2041, 1999, 17266, 3270, 1521, 1055, 2047, 17312, 2045, 2024, 2055, 2274, 2030, 2416, 5312, 2008, 2024, 2428, 2058, 1996, 2327, 1012, 4922, 2356, 17266, 3270, 2065, 2002, 14436, 2015, 4760, 1996, 3185, 2000, 8412, 12706, 2320, 2009, 1521, 1055, 2736, 2000, 2029, 17266, 3270, 3880, 1010, 1523, 2748, 1010, 2021, 1996, 2996, 2941, 3866, 1996, 3185, 2043, 2027, 12238, 2009, 1012, 1524, 1996, 2613, 3231, 2005, 17266, 3270, 2003, 2893, 1996, 3185, 2011, 1996, 6131, 11057, 1006, 1996, 4367, 3861, 2523, 1997, 2637, 1007, 2144, 2027, 1521, 2128, 1996, 3924, 2040, 24414, 1996, 2880, 3185, 5790, 1012, 17266, 3270, 22906, 2129, 2002, 6427, 1996, 6131, 11057, 2000, 2507, 10391, 2019, 1054, 5790, 2043, 2011, 2010, 2219, 9634, 2009, 2323, 1521, 2310, 2042, 13316, 1011, 2459, 2349, 2000, 1037, 3429, 1011, 2117, 7142, 2915, 1997, 1037, 19085, 1012, 1523, 1045, 2113, 2008, 1045, 2031, 1037, 2208, 2007, 1996, 6131, 11057, 1010, 1524, 2002, 2056, 1010, 8669, 2008, 2045, 2003, 1037, 4118, 2000, 2010, 8690, 12013, 1012, 1999, 2010, 6745, 17312, 2045, 1521, 1055, 2019, 9577, 2978, 2073, 1996, 2048, 3428, 2342, 2000, 1523, 5342, 2503, 1997, 2019, 10777, 1521, 1055, 12436, 20876, 1524, 1998, 17266, 3270, 2354, 5825, 2046, 2010, 3116, 2007, 1996, 6131, 11057, 2008, 2002, 2359, 1996, 3496, 2000, 2022, 2055, 2093, 2781, 2146, 1012, 2000, 2131, 2010, 4299, 2002, 5359, 1037, 3013, 2007, 1037, 3157, 1011, 3371, 2544, 1997, 2023, 3496, 2061, 2008, 2043, 2002, 3013, 2041, 2416, 2781, 2009, 2052, 4025, 2066, 1996, 6131, 11057, 2288, 1037, 2235, 3377, 1012, 2478, 1996, 2327, 2569, 3896, 2136, 1999, 1996, 3068, 4922, 2001, 7622, 2129, 12689, 1996, 2143, 10777, 1521, 1055, 19085, 2246, 1999, 1996, 3185, 1012, 17266, 3270, 6727, 4922, 2008, 2002, 5086, 20608, 3660, 1521, 1055, 4013, 3367, 20086, 2015, 2136, 1012, 9946, 2018, 1996, 2168, 2569, 3896, 5972, 2013, 5691, 2066, 1523, 2732, 5233, 1524, 2000, 28024, 1996, 14397, 10536, 4063, 2213, 1521, 1055, 6887, 8095, 2594, 2266, 1012, 2045, 2020, 2706, 1997, 12929, 2008, 2253, 2046, 2019, 1523, 2019, 9581, 15312, 2594, 10338, 1010, 1524, 2002, 2409, 4922, 1012, 2178, 13432, 3496, 1999, 1996, 3185, 2920, 1037, 2312, 3815, 1997, 10777, 1041, 3900, 19879, 2618, 1998, 17266, 3270, 3936, 2010, 3595, 2005, 2437, 12689, 1011, 2559, 4111, 7367, 3549, 1012, 1523, 1045, 1521, 1049, 2183, 2000, 2425, 2017, 2242, 2055, 1996, 10777, 13988, 1010, 1524, 17266, 3270, 2211, 1012, 1523, 1996, 8331, 2008, 2087, 15796, 2015, 10777, 13988, 2003, 9383, 1521, 1055, 12901, 1012, 1524, 1998, 2008, 2003, 5262, 2054, 17266, 3270, 2056, 2002, 2109, 2005, 1996, 2143, 1012, 1037, 2448, 1999, 2007, 1059, 27266, 27605, 2099, 1047, 15909, 11624, 3683, 6302, 1024, 8637, 1013, 10975, 7760, 4922, 2359, 2000, 2113, 2065, 17266, 3270, 2018, 2412, 15807, 2619, 2061, 2919, 1010, 2002, 8615, 3558, 7386, 1012, 17266, 3270, 2409, 4922, 1037, 2466, 1997, 2129, 2002, 2743, 2046, 4386, 2751, 12968, 1998, 2280, 8362, 8366, 3410, 1059, 27266, 27605, 2099, 1047, 15909, 11624, 3683, 2012, 1037, 4825, 1037, 2261, 2086, 3283, 1012, 5373, 1010, 2008, 2876, 1521, 1056, 2022, 1037, 2502, 3066, 2021, 2720, 1012, 1047, 15909, 11624, 3683, 2003, 2013, 11769, 1010, 1996, 2406, 17266, 3270, 1521, 1055, 8945, 8609, 2839, 4447, 2004, 2188, 1012, 1037, 15610, 5411, 17266, 3270, 2012, 1996, 4825, 1998, 2409, 2032, 2008, 1047, 15909, 11624, 3683, 2052, 2293, 2000, 3113, 2032, 1012, 17266, 3270, 2939, 2058, 2000, 2010, 2795, 1998, 3668, 2010, 2192, 1010, 2029, 1047, 15909, 11624, 3683, 7933, 9672, 2007, 2053, 6808, 1997, 5599, 2175, 1012, 2574, 17266, 3270, 1521, 1055, 2564, 1998, 3507, 3364, 25340, 8731, 2234, 2058, 12097, 2000, 2022, 1037, 5294, 5470, 1998, 2356, 2005, 2019, 8285, 14413, 2061, 1059, 27266, 27605, 2099, 2052, 2713, 2014, 3129, 1521, 1055, 2192, 1010, 2021, 2008, 4928, 2000, 2025, 2147, 2004, 1996, 2280, 8366, 2766, 17266, 3270, 3553, 1998, 5168, 2409, 2032, 1024, 1523, 2017, 26608, 2026, 2406, 1012, 1045, 1521, 1049, 2013, 11769, 1012, 2339, 2106, 2017, 2079, 2008, 1029, 1524, 1523, 1045, 1521, 1049, 2941, 2559, 2005, 4933, 2006, 1996, 2795, 2000, 6723, 2907, 1997, 1998, 2066, 1010, 2131, 1037, 9292, 1998, 17079, 2032, 1010, 1524, 17266, 3270, 2431, 1011, 19700, 2000, 4922, 1012, 1996, 3364, 12254, 2007, 2032, 2008, 2009, 2001, 2069, 1037, 8257, 1998, 2044, 1037, 9145, 2093, 2781, 1010, 1059, 27266, 27605, 2099, 2318, 2000, 4756, 1998, 2409, 17266, 3270, 2002, 2001, 16644, 1998, 2134, 1521, 1056, 2568, 1996, 2143, 2012, 2035, 1012, 1999, 2755, 1010, 2002, 2056, 2002, 2245, 2009, 2001, 6057, 1012, 4913, 15775, 27877, 2571, 3569, 4862, 1043, 1521, 1055, 7436, 3311, 2012, 2197, 3204, 1521, 1055, 2914, 2982, 1010, 17266, 3270, 2320, 2153, 2766, 2028, 2058, 2006, 1996, 4204, 2008, 2022, 2076, 5365, 1521, 1055, 2087, 8919, 2400, 2265, 1012, 2027, 2699, 2000, 27206, 2032, 2013, 2725, 2505, 2125, 1011, 5896, 1010, 2029, 2357, 2041, 2000, 5245, 2032, 2130, 2582, 2046, 1996, 2978, 1012, 2012, 2023, 2095, 1521, 1055, 2724, 1010, 1996, 3768, 1997, 8906, 5921, 17853, 2001, 1037, 2980, 6462, 8476, 1999, 1996, 3134, 2877, 2039, 2000, 1996, 2265, 1012, 17266, 3270, 6618, 2023, 2052, 2022, 1037, 2307, 27961, 2005, 4862, 1043, 2000, 2191, 2019, 3311, 1012, 17266, 3270, 2409, 4922, 2002, 2354, 2054, 2002, 2359, 2010, 3098, 2240, 2000, 2022, 1024, 1523, 1045, 2113, 2054, 2017, 2015, 2035, 2024, 3241, 1010, 1996, 2914, 2038, 2716, 2006, 2178, 19204, 2304, 10044, 1012, 1524, 2021, 2077, 2183, 2083, 2007, 2009, 1010, 9946, 2179, 2019, 2394, 2767, 2000, 2448, 2009, 2627, 1012, 1996, 2767, 2409, 2032, 2009, 2001, 1037, 2919, 2801, 1010, 2061, 2002, 2179, 2619, 2062, 11414, 2000, 2507, 2032, 1996, 2665, 2422, 2000, 2079, 1996, 8257, 1024, 4913, 15775, 27877, 2571, 1012, 17266, 3270, 2387, 15775, 27877, 2571, 20212, 1998, 2002, 2855, 8219, 2032, 1996, 2240, 2002, 2359, 2000, 2360, 2043, 2002, 2939, 2041, 1012, 4913, 2409, 2032, 2008, 2009, 2001, 1523, 2307, 1524, 1998, 2435, 2032, 1996, 6011, 15185, 4818, 16784, 2039, 2000, 2079, 2009, 1012, 17266, 3270, 14456, 2008, 2018, 4913, 2025, 2445, 2032, 1996, 2175, 3805, 2002, 2763, 2876, 1521, 1056, 2031, 2056, 1996, 6801, 2240, 1012, 2009, 2001, 4821, 9946, 1521, 1055, 2564, 25340, 8731, 2040, 20673, 11533, 1996, 4862, 1043, 9427, 1999, 1012, 1998, 2000, 5621, 7374, 1010, 2002, 1998, 2010, 2564, 2018, 2000, 10436, 2046, 1037, 5723, 2005, 2871, 2781, 2061, 17266, 3270, 2071, 6611, 2010, 2839, 1521, 1055, 13268, 2606, 1012, 2004, 6443, 16460, 9022, 2005, 1996, 3364, 1010, 17266, 3270, 1521, 1055, 2270, 2923, 2409, 2068, 2002, 2018, 22939, 12171, 20192, 1998, 2347, 1521, 1056, 3110, 2092, 1012, 2043, 2002, 2633, 2234, 2041, 1997, 1996, 5723, 1010, 17266, 3270, 2056, 2002, 2018, 2000, 3104, 2010, 10154, 2007, 2010, 2192, 2061, 2053, 2028, 2052, 2022, 7968, 2000, 2010, 2933, 2077, 3788, 2041, 2006, 2754, 1012, 2002, 6727, 2010, 2522, 1011, 10044, 1010, 7710, 18575, 1010, 3823, 2077, 3788, 2041, 1998, 2016, 2001, 6135, 2046, 2009, 1010, 5094, 2032, 2404, 1996, 2345, 12817, 2006, 2010, 3311, 1012, 17266, 3270, 4541, 2008, 2320, 2002, 2939, 2006, 2754, 2295, 1010, 2477, 2371, 2125, 1024, 1523, 1045, 2001, 5191, 2138, 1045, 2253, 2041, 2045, 1045, 2134, 1521, 1056, 2963, 2151, 1529, 4668, 1010, 1524, 2002, 4914, 1012, 1523, 1998, 2059, 1045, 3651, 2941, 2776, 1996, 4950, 2001, 2025, 2006, 2033, 1524, 2664, 1012, 2320, 1996, 4950, 2106, 2455, 2006, 9946, 1010, 2002, 2657, 1037, 3835, 12008, 2013, 1996, 4378, 1012, 1523, 1045, 1521, 1049, 2467, 2667, 2000, 2131, 5045, 1010, 1524, 2002, 19700, 1012, 1037, 3478, 15528, 8714, 16012, 24330, 4922, 2036, 2356, 2055, 1996, 15528, 8714, 16012, 24330, 9946, 2018, 7283, 2042, 2551, 2006, 2005, 2416, 2086, 1012, 17266, 3270, 2056, 1999, 1996, 2203, 1010, 2009, 2074, 2134, 1521, 1056, 6090, 2041, 2004, 2002, 25155, 1037, 24842, 17579, 1010, 3968, 11239, 2099, 2143, 2084, 2054, 1996, 3588, 3035, 2316, 2372, 9059, 1012, 1523, 2045, 2024, 6429, 3441, 2055, 15528, 8714, 1529, 1996, 3124, 2001, 3748, 1010, 1524, 2002, 4541, 1012, 1996, 2316, 1010, 2295, 1010, 2790, 2000, 2022, 2062, 4699, 1999, 8650, 2037, 8027, 2084, 7694, 1996, 2995, 7861, 5092, 21341, 1997, 15835, 2028, 1997, 1996, 4602, 5755, 2600, 2038, 2412, 2124, 1010, 1999, 9946, 1521, 1055, 5448, 1012, 17266, 3270, 4914, 2002, 2323, 1521, 2310, 3333, 2041, 1997, 1996, 2622, 2044, 1996, 2034, 3116, 2043, 2028, 1997, 1996, 2316, 2372, 1516, 17266, 3270, 2876, 1521, 1056, 2360, 2029, 2028, 1516, 2409, 2032, 2008, 15528, 8714, 1521, 1055, 2839, 2052, 3280, 8576, 2083, 1996, 3185, 1012, 17266, 3270, 5071, 2027, 2359, 2000, 2191, 1037, 1523, 16016, 4349, 1524, 2828, 3185, 2073, 2673, 2001, 2041, 1997, 2344, 1012, 2021, 1996, 3606, 2001, 1996, 2316, 2359, 1037, 7399, 3185, 2008, 3662, 2129, 2092, 2027, 2035, 2106, 2044, 15528, 1521, 1055, 4895, 7292, 2135, 2331, 1012, 2012, 1996, 2203, 1997, 1996, 2154, 1010, 17266, 3270, 16833, 2098, 2009, 2039, 2000, 2019, 1523, 6018, 4489, 1012, 1524, 1037, 6801, 6221, 8398, 3496, 1999, 17266, 3270, 1521, 1055, 14751, 3185, 1523, 1996, 3428, 24470, 1010, 1524, 2045, 1521, 1055, 1037, 6801, 3496, 2008, 11230, 1043, 1012, 1051, 1012, 1052, 1012, 4883, 4018, 6221 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1013, 1008, 1008, 9385, 1006, 1039, 1007, 2727, 1010, 2418, 1010, 14721, 1998, 1013, 2030, 2049, 18460, 1012, 2035, 2916, 9235, 1012, 1008, 2079, 2025, 11477, 2030, 6366, 9385, 14444, 2030, 2023, 5371, 20346, 1012, 1008, 1008, 2023, 3642, 2003, 2489, 4007, 1025, 2017, 2064, 2417, 2923, 3089, 8569, 2618, 2009, 1998, 1013, 2030, 19933, 2009, 1008, 2104, 1996, 3408, 1997, 1996, 27004, 2236, 2270, 6105, 2544, 1016, 2069, 1010, 2004, 1008, 2405, 2011, 1996, 2489, 4007, 3192, 1012, 14721, 24414, 2015, 2023, 1008, 3327, 5371, 2004, 3395, 2000, 1996, 1000, 2465, 15069, 1000, 6453, 2004, 3024, 1008, 2011, 14721, 1999, 1996, 6105, 5371, 2008, 5642, 2023, 3642, 1012, 1008, 1008, 2023, 3642, 2003, 5500, 1999, 1996, 3246, 2008, 2009, 2097, 2022, 6179, 1010, 2021, 2302, 1008, 2151, 10943, 2100, 1025, 2302, 2130, 1996, 13339, 10943, 2100, 1997, 6432, 8010, 2030, 1008, 10516, 2005, 1037, 3327, 3800, 1012, 2156, 1996, 27004, 2236, 2270, 6105, 1008, 2544, 1016, 2005, 2062, 4751, 1006, 1037, 6100, 2003, 2443, 1999, 1996, 6105, 5371, 2008, 1008, 5642, 2023, 3642, 1007, 1012, 1008, 1008, 2017, 2323, 2031, 2363, 1037, 6100, 1997, 1996, 27004, 2236, 2270, 6105, 2544, 1008, 1016, 2247, 2007, 2023, 2147, 1025, 2065, 2025, 1010, 4339, 2000, 1996, 2489, 4007, 3192, 1010, 1008, 4297, 1012, 1010, 4868, 5951, 2358, 1010, 3587, 2723, 1010, 3731, 1010, 5003, 6185, 14526, 2692, 1011, 7558, 2487, 3915, 1012, 1008, 1008, 3531, 3967, 14721, 1010, 3156, 14721, 12602, 1010, 27552, 13312, 1010, 6187, 6365, 2692, 26187, 3915, 1008, 2030, 3942, 7479, 1012, 14721, 1012, 4012, 2065, 2017, 2342, 3176, 2592, 2030, 2031, 2151, 1008, 3980, 1012, 1008, 1013, 1013, 1008, 1008, 1996, 6994, 23615, 2465, 2038, 2048, 4972, 1024, 2009, 7107, 13143, 2015, 1996, 22091, 2102, 1008, 6994, 23615, 28084, 2099, 1005, 1055, 3128, 4725, 1010, 1998, 3640, 1996, 21469, 2140, 1005, 1055, 4563, 4972, 1012, 1008, 1008, 2045, 2024, 2048, 3971, 2023, 21469, 2140, 2064, 2022, 2109, 1024, 2593, 2004, 1037, 8790, 3973, 1011, 1008, 8209, 9262, 3128, 3075, 2013, 1996, 19555, 1010, 2030, 2011, 1037, 3645, 1011, 1008, 3563, 10439, 1012, 1996, 2034, 5450, 5942, 2008, 1996, 6994, 23615, 3073, 1008, 2035, 2490, 2734, 2061, 1996, 10439, 2064, 3853, 2004, 1037, 2034, 1011, 2465, 3645, 1008, 10439, 1010, 2096, 1996, 2117, 15980, 2008, 1996, 10439, 2097, 3073, 2008, 1008, 15380, 1012, 2029, 5549, 2023, 21469, 2140, 4972, 1999, 2003, 4340, 2011, 1008, 2029, 3988, 3989, 20680, 2003, 2109, 1012, 2065, 1996, 6994, 23615, 2003, 3833, 1008, 5373, 1010, 2059, 1996, 6994, 23615, 2097, 2031, 2049, 2219, 10216, 1012, 2065, 2009, 2003, 12045, 1008, 3988, 3550, 2005, 2019, 11157, 4044, 1006, 3081, 1037, 10763, 4118, 2006, 1008, 3103, 1012, 22091, 2102, 1012, 3645, 1012, 1059, 3406, 4747, 23615, 1007, 1010, 2059, 2009, 2097, 11160, 2006, 2019, 6327, 4471, 1008, 10216, 1012, 1008, 1008, 1996, 2087, 3937, 15380, 2734, 2003, 1037, 3645, 4471, 10216, 1006, 2036, 1008, 2124, 2004, 1037, 4471, 7077, 1007, 1012, 2043, 2019, 9262, 10439, 2003, 2318, 2004, 1037, 10122, 1008, 10439, 2011, 1996, 19555, 1010, 1996, 6994, 23615, 3791, 2000, 3073, 2008, 4471, 1008, 10216, 2065, 1996, 22091, 2102, 2003, 8790, 3973, 8209, 1012, 1008, 1013, 1001, 2065, 13629, 2546, 22091, 2102, 1035, 6994, 23615, 1035, 1044, 1001, 9375, 22091, 2102, 1035, 6994, 23615, 1035, 1044, 1001, 2421, 1000, 22091, 2102, 1012, 1044, 1000, 1001, 2421, 1000, 22091, 21246, 28745, 1012, 1044, 1000, 1001, 2421, 1000, 7637, 1012, 1044, 1000, 1001, 2421, 1000, 3103, 1035, 22091, 2102, 1035, 3645, 1035, 1059, 3406, 4747, 23615, 1012, 1044, 1000, 2465, 22091, 3406, 2497, 20614, 1025, 2465, 22091, 2102, 27184, 8649, 1025, 2465, 22091, 2102, 25711, 7559, 18150, 1025, 21189, 12879, 11675, 1006, 2655, 5963, 1008, 18373, 21572, 2278, 1007, 1006, 11675, 1007, 1025, 21189, 12879, 22017, 2140, 1006, 2655, 5963, 1008, 19043, 7834, 3736, 3351, 21572, 2278, 1007, 1006, 5796, 2290, 1004, 1007, 1025, 1013, 1013, 2358, 6820, 6593, 2005, 1035, 2663, 18780, 11368, 6806, 2094, 1035, 9585, 1064, 4487, 19150, 19833, 3512, 14428, 4118, 2358, 6820, 6593, 9585, 19833, 3512, 14428, 3367, 6820, 6593, 1063, 3105, 20614, 2969, 1025, 3105, 20614, 8152, 1025, 9743, 2102, 6123, 1025, 1046, 5092, 9890, 2319, 2224, 19833, 3512, 9006, 28400, 22254, 5004, 1025, 1065, 1025, 1013, 1008, 1008, 2465, 1046, 3490, 4135, 9289, 15643, 1008, 5245, 1013, 3769, 4135, 9289, 15643, 2393, 2121, 1008, 1013, 2465, 1046, 3490, 4135, 9289, 15643, 1063, 2270, 1024, 23881, 1046, 3490, 4135, 9289, 15643, 1006, 1046, 8034, 2078, 2615, 1008, 4372, 2615, 1010, 20014, 2946, 1007, 1063, 1049, 1035, 4372, 2615, 1027, 4372, 2615, 1025, 20014, 2765, 1027, 1049, 1035, 4372, 2615, 1011, 1028, 5245, 4135, 9289, 15643, 1006, 2946, 1007, 1025, 2065, 1006, 2765, 1026, 1014, 1007, 1063, 8695, 8043, 2102, 1006, 6270, 1007, 1025, 5466, 2358, 2094, 1024, 1024, 2919, 1035, 2035, 10085, 1006, 1007, 1025, 1065, 1065, 23881, 1066, 1046, 3490, 4135, 9289, 15643, 1006, 1007, 1063, 1049, 1035, 4372, 2615, 1011, 1028, 3769, 4135, 9289, 15643, 1006, 19701, 1007, 1025, 1065, 2797, 1024, 1046, 8034, 2078, 2615, 1008, 1049, 1035, 4372, 2615, 1025, 1065, 1025, 1013, 1008, 1008, 2465, 4187, 29015, 1008, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1066, 1008, 12038, 26721, 1011, 2832, 11689, 26351, 8093, 10698, 9276, 1012, 2064, 2069, 2022, 2109, 2007, 1008, 2060, 4187, 5433, 1010, 1998, 2069, 2306, 1996, 2168, 2832, 1012, 1008, 1013, 2465, 4187, 29015, 1063, 2270, 1024, 23881, 4187, 29015, 1006, 1007, 1063, 1024, 1024, 3988, 4697, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 23881, 1066, 4187, 29015, 1006, 1007, 1063, 1024, 1024, 3972, 12870, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 2465, 5843, 1063, 2270, 1024, 23881, 5843, 1006, 9530, 3367, 4187, 29015, 1004, 20116, 1007, 1024, 13675, 12762, 8586, 1006, 20116, 1007, 1063, 1006, 9530, 3367, 1035, 3459, 1026, 4187, 29015, 1004, 1028, 1006, 13675, 12762, 8586, 1007, 1007, 1012, 4607, 1006, 1007, 1025, 1065, 23881, 1066, 5843, 1006, 1007, 1063, 1006, 9530, 3367, 1035, 3459, 1026, 4187, 29015, 1004, 1028, 1006, 13675, 12762, 8586, 1007, 1007, 1012, 2681, 1006, 1007, 1025, 1065, 2797, 1024, 9530, 3367, 4187, 29015, 1004, 13675, 12762, 8586, 1025, 1065, 1025, 2767, 2465, 5843, 1025, 2797, 1024, 4187, 1035, 2930, 16360, 1025, 4187, 29015, 1006, 9530, 3367, 4187, 29015, 1004, 1007, 1025, 9530, 3367, 4187, 29015, 1004, 6872, 1027, 1006, 9530, 3367, 4187, 29015, 1004, 1007, 1025, 2270, 1024, 7484, 11675, 4607, 1006, 1007, 1063, 1024, 1024, 4607, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 7484, 22017, 2140, 3046, 29110, 1006, 1007, 1063, 2709, 1024, 1024, 3046, 29110, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 7484, 11675, 2681, 1006, 1007, 1063, 1024, 1024, 2681, 26775, 26116, 29015, 1006, 1004, 16360, 1007, 1025, 1065, 1065, 1025, 1013, 1013, 26632, 2015, 2005, 2478, 4187, 29015, 5200, 2008, 2393, 7637, 1013, 1013, 5843, 1013, 19829, 4506, 1013, 1008, 2224, 2023, 1035, 5371, 2043, 2009, 2003, 2800, 1012, 1008, 1013, 1001, 2065, 13629, 2546, 2023, 1035, 5371, 1001, 9375, 2023, 1035, 5371, 1035, 1035, 5371, 1035, 1035, 1001, 2203, 10128, 1001, 9375, 4187, 1035, 2930, 1035, 4607, 1006, 20116, 1007, 1063, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 3524, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1006, 20116, 1007, 1012, 4607, 1006, 1007, 1025, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 4607, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1065, 1001, 9375, 4187, 1035, 2930, 1035, 2681, 1006, 20116, 1007, 1063, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 2681, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1006, 20116, 1007, 1012, 2681, 1006, 1007, 1025, 1032, 1046, 2475, 11927, 22903, 19666, 2549, 1006, 1046, 2475, 2094, 1035, 7637, 1035, 12034, 9232, 2475, 1010, 1032, 1000, 20116, 1012, 2187, 1024, 14841, 2094, 1010, 20116, 1010, 5371, 1010, 2240, 1027, 1014, 2595, 1003, 1060, 1010, 1014, 2595, 1003, 1060, 1010, 1003, 1055, 1010, 1003, 1040, 1000, 1010, 1032, 2131, 10841, 14343, 3372, 2705, 16416, 4305, 2094, 1006, 1007, 1010, 1004, 1006, 20116, 1007, 1010, 2023, 1035, 5371, 1010, 1035, 1035, 2240, 1035, 1035, 1007, 1025, 1032, 1065, 1013, 1013, 2417, 12879, 3170, 2663, 9331, 2072, 5300, 3141, 2000, 3543, 7953, 1010, 2065, 9808, 1026, 3645, 1021, 1012, 1001, 2065, 1006, 999, 4225, 1006, 2663, 6299, 1007, 1064, 1064, 1006, 1006, 2663, 6299, 1007, 1026, 1014, 2595, 2692, 16086, 2487, 1007, 1007, 1013, 1008, 1008, 4236, 24826, 2818, 11101, 5004, 5210, 5300, 1008, 1013, 1001, 9375, 1056, 2860, 2546, 1035, 2986, 24826, 2818, 1006, 1014, 2595, 8889, 8889, 8889, 24096, 1007, 1001, 9375, 1056, 2860, 2546, 1035, 2215, 12952, 2213, 1006, 1014, 2595, 8889, 8889, 8889, 2692, 2475, 1007, 1001, 9375, 1059, 2213, 1035, 3543, 1014, 2595, 2692, 18827, 2692, 1013, 1008, 1008, 3543, 7953, 5047, 1008, 1013, 21189, 12879, 5047, 1044, 24826, 17231, 18780, 1025, 21189, 12879, 2358, 6820, 6593, 6415, 24826, 17231, 18780, 1063, 2146, 1060, 1025, 2146, 1061, 1025, 5047, 26236, 8162, 3401, 1025, 1040, 18351, 1040, 9148, 2094, 1025, 1040, 18351, 1040, 2860, 10258, 26454, 1025, 1040, 18351, 1040, 2860, 9335, 2243, 1025, 1040, 18351, 1040, 26677, 14428, 1025, 17359, 5063, 1035, 13866, 2099, 1040, 8545, 18413, 21166, 14876, 1025, 1040, 18351, 1039, 2595, 8663, 2696, 6593, 1025, 1040, 18351, 22330, 8663, 2696, 6593, 1025, 1065, 3543, 2378, 18780, 1010, 1008, 13866, 7140, 17231, 18780, 1025, 21189, 12879, 3543, 2378, 18780, 9530, 3367, 1008, 7473, 24826, 17231, 18780, 1025, 1013, 1008, 1008, 3543, 7953, 5210, 5300, 1006, 3543, 2378, 18780, 1012, 1040, 2860, 10258, 26454, 1007, 1008, 1013, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2693, 1014, 2595, 8889, 24096, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2091, 1014, 2595, 8889, 2692, 2475, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2039, 1014, 2595, 8889, 2692, 2549, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 1999, 24388, 2063, 1014, 2595, 8889, 2692, 2620, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 3078, 1014, 2595, 8889, 10790, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 2053, 3597, 23266, 3401, 1014, 2595, 8889, 11387, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 7279, 1014, 2595, 8889, 12740, 1001, 9375, 3543, 18697, 3372, 2546, 1035, 5340, 1014, 2595, 8889, 17914, 1001, 2203, 10128, 1013, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 22091, 9284, 4747, 23615, 2465, 1008, 1013, 2465, 22091, 9284, 4747, 23615, 1063, 2270, 1024, 4372, 2819, 1063, 21677, 1035, 2110, 1035, 2946, 1027, 17273, 1065, 1025, 1013, 1008, 9262, 1012, 22091, 2102, 1012, 6994, 23615, 4118, 8909, 2015, 1008, 1013, 10763, 1046, 11368, 6806, 4305, 2094, 2131, 3207, 7011, 11314, 3406, 4747, 23615, 4328, 2094, 1025, 10763, 1046, 11368, 6806, 4305, 2094, 2131, 14876, 3372, 12589, 6491, 3593, 1025, 10763, 1046, 11368, 6806, 4305, 2094, 16021, 8454, 4328, 2094, 1025, 1013, 1008, 3103, 1012, 22091, 2102, 1012, 3645, 1012, 1059, 3406, 4747, 23615, 8909, 2015, 1008, 1013, 10763, 1046, 11368, 6806, 4305 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1040, 3654, 2361, 1011, 2865, 1013, 4895, 16451, 11106, 3549, 1024, 16266, 9336, 2078, 2177, 4297, 1012, 1059, 2243, 2078, 1024, 22441, 2094, 4160, 2099, 2575, 2019, 27102, 4078, 2022, 13149, 3215, 1024, 10651, 7861, 14376, 11106, 26896, 2290, 1024, 2844, 4965, 13970, 2869, 14272, 2140, 10210, 9834, 19699, 2923, 8004, 1024, 1017, 1010, 4002, 7327, 2099, 13970, 2869, 14272, 2140, 11374, 19699, 2923, 8004, 1024, 1019, 1010, 4002, 7327, 2099, 2454, 2368, 15671, 2232, 12314, 4241, 11140, 11417, 3334, 2063, 17985, 1011, 4682, 7512, 28943, 2378, 8237, 5575, 16216, 19570, 5886, 2102, 1011, 17712, 9515, 3742, 12848, 4895, 3334, 4783, 13777, 22513, 999, 4895, 8043, 17985, 2327, 1011, 4060, 3280, 22827, 17190, 22842, 16266, 9336, 2078, 1006, 1059, 2243, 2078, 22441, 2094, 4160, 2099, 2575, 1007, 2310, 8024, 8630, 12870, 27665, 11417, 3334, 2063, 4682, 7512, 28943, 2378, 8237, 5575, 1012, 8289, 21541, 2022, 2890, 12762, 8695, 2852, 27100, 4682, 27709, 2497, 3683, 20058, 2078, 5110, 8865, 2497, 13970, 15378, 20367, 27838, 4183, 6151, 16417, 11721, 17884, 6519, 13852, 25538, 2454, 2368, 18163, 20501, 2063, 1012, 15536, 2063, 16266, 9336, 2078, 1006, 1059, 2243, 2078, 22441, 2094, 4160, 2099, 2575, 1007, 2310, 10867, 14273, 12870, 1010, 8814, 25547, 10210, 17183, 4895, 16451, 11106, 3549, 13207, 4353, 3589, 1006, 1000, 4647, 6392, 2497, 1000, 1010, 4382, 19098, 5054, 16874, 7373, 5910, 13473, 6216, 4315, 4013, 6371, 2480, 2329, 3996, 1007, 27665, 14689, 7033, 3215, 2121, 26086, 15532, 2290, 4895, 3334, 4371, 7033, 7159, 1012, 25520, 16417, 2022, 14550, 9759, 13512, 2121, 9056, 2368, 21548, 3334, 4013, 8566, 10431, 2102, 15536, 4103, 8695, 4895, 16451, 11106, 3549, 1999, 7939, 9413, 16173, 2260, 13813, 6528, 6583, 2818, 4315, 3423, 17417, 2121, 5575, 2019, 15143, 25394, 2818, 4895, 3351, 7011, 8093, 1017, 1012, 5786, 2487, 1012, 7706, 13250, 2213, 1006, 6187, 1012, 1017, 1012, 5786, 2475, 2243, 2290, 1007, 27969, 11039, 19960, 10993, 5498, 22842, 2015, 17985, 2019, 4647, 6392, 2497, 4682, 7512, 2078, 1012, 3280, 15536, 10143, 8004, 16173, 7196, 2618, 1011, 16266, 9336, 2078, 8814, 25547, 17151, 3351, 4213, 7317, 2102, 1010, 8529, 17985, 6519, 3562, 17112, 8545, 19869, 2019, 7939, 2928, 2102, 1999, 2329, 3996, 16950, 4682, 7512, 2078, 1012, 1011, 8695, 4895, 16451, 11106, 3549, 2358, 5714, 20492, 16950, 1010, 2568, 4355, 6132, 1017, 1012, 5786, 2487, 1012, 7706, 13250, 2213, 4013, 14855, 8093, 6519, 4647, 6392, 2497, 2022, 2890, 8838, 19966, 14774, 2078, 1012, 1011, 16266, 9336, 2078, 6045, 6892, 2480, 2102, 2190, 10450, 13512, 2063, 2035, 12352, 3508, 2368, 3854, 17985, 16950, 3562, 17112, 8545, 19766, 6519, 10512, 1010, 7649, 6151, 2329, 3996, 10210, 27665, 2213, 3296, 17417, 8743, 2368, 3872, 2078, 3854, 2184, 1012, 6227, 2509, 1012, 2531, 13250, 2213, 1006, 6187, 1012, 2184, 1012, 6227, 2509, 2243, 2290, 1007, 1012, 1000, 16266, 9336, 2078, 21541, 11693, 17580, 3334, 2102, 1010, 27665, 14689, 7033, 3215, 2121, 26086, 15532, 2290, 10210, 4647, 6392, 2497, 16950, 8040, 27766, 2063, 17499, 2078, 6151, 15536, 2099, 8254, 2094, 2358, 4747, 2480, 18243, 4887, 2546, 10210, 1045, 7295, 2368, 25520, 4256, 22894, 7389, 2094, 8289, 2121, 21200, 2890, 6914, 4181, 2928, 9589, 11263, 8093, 5575, 13102, 14949, 2063, 16950, 12098, 19205, 6528, 1010, 1000, 7842, 13512, 2063, 14915, 12849, 10286, 1010, 3580, 2343, 2310, 22379, 16093, 6151, 5821, 1010, 16266, 9336, 2078, 2177, 4297, 1012, 2022, 2890, 12762, 2190, 11106, 10497, 2063, 4682, 7512, 28943, 2378, 8237, 23239, 1024, 16950, 7485, 2480, 2102, 8814, 18246, 2022, 2890, 12762, 1062, 19845, 4682, 27709, 2497, 3683, 20058, 2078, 17924, 2310, 25301, 10623, 5575, 4078, 2928, 4570, 1999, 7649, 6151, 10512, 10210, 17985, 21572, 28351, 6528, 11113, 8449, 2818, 10483, 5054, 1012, 2572, 2756, 1012, 5757, 1012, 2760, 2310, 10867, 14273, 12870, 8695, 4895, 16451, 11106, 3549, 1010, 8695, 2015, 27665, 4682, 7512, 28943, 2378, 8237, 5575, 10210, 4315, 10512, 13207, 1004, 2843, 3334, 3111, 3840, 1006, 19875, 9468, 1007, 11113, 8449, 2818, 10483, 5054, 2057, 18246, 12849, 10695, 2618, 1010, 8289, 21541, 16417, 15536, 10143, 17071, 19734, 7770, 8602, 4078, 4895, 16451, 11106, 3549, 2015, 1012, 3280, 4682, 7512, 28943, 2378, 8237, 5575, 9033, 11106, 2102, 27665, 2078, 8529, 15143, 2290, 3854, 13274, 1012, 2199, 13250, 2213, 2310, 2869, 5428, 14728, 23808, 2121, 17985, 21572, 28351, 2618, 5110, 8865, 2497, 4315, 9413, 16173, 2260, 13813, 2618, 29536, 2099, 1012, 2572, 5709, 1012, 5718, 1012, 2760, 2310, 10867, 14273, 12870, 8695, 4895, 16451, 11106, 3549, 1010, 8695, 2015, 9686, 27665, 4682, 7512, 28943, 2378, 8237, 5575, 10210, 7649, 10355, 1010, 13207, 1004, 17985, 3222, 11113, 8449, 2818, 10483, 5054, 6045, 1012, 8695, 4682, 7512, 6767, 12942, 2368, 6655, 29181, 2102, 1017, 1012, 18034, 11382, 24915, 2213, 6519, 27665, 2078, 27838, 4183, 2527, 2819, 3854, 1020, 13813, 6528, 999, 8529, 15143, 17603, 17322, 2015, 4895, 16451, 11106, 3549, 6342, 17299, 3686, 1024, 8695, 4895, 16451, 11106, 3549, 21541, 10047, 16216, 13102, 22648, 2232, 10210, 2033, 17875, 2368, 1998, 7869, 2078, 4013, 6371, 10431, 6519, 2760, 6151, 10476, 6151, 15536, 4103, 1010, 19181, 2078, 16950, 27102, 8004, 1010, 2022, 9126, 3372, 16216, 10609, 1010, 14071, 2078, 8289, 2063, 11113, 3683, 20058, 2078, 16216, 11624, 10483, 5054, 2057, 18246, 1012, 27885, 12155, 7317, 9686, 26679, 2638, 11721, 17884, 9013, 21025, 19279, 1010, 8695, 2015, 16950, 16846, 2480, 27412, 4682, 27709, 2497, 3683, 20058, 2078, 4895, 3334, 4371, 7033, 7159, 2057, 18246, 1010, 2061, 5292, 10609, 3280, 21360, 18940, 4181, 16216, 13102, 22648, 5369, 10210, 2190, 5714, 20492, 2368, 4013, 6371, 10431, 27665, 7570, 5369, 2057, 21217, 7507, 5753, 5575, 4315, 6904, 4048, 2290, 29501, 6528, 6151, 4954, 2102, 4783, 13777, 5910, 7011, 4048, 2290, 29501, 2102, 4078, 4895, 16451, 11106, 3549, 2015, 2190, 10450, 13512, 1010, 3280, 10047, 16417, 26086, 3070, 10210, 20098, 2140, 24665, 2080, 17499, 7389, 4895, 16451, 11106, 3549, 1999, 8289, 2121, 3589, 2063, 26261, 10222, 1012, 9413, 19845, 3334, 5575, 4315, 2019, 20679, 1999, 11374, 2669, 3280, 8670, 6692, 15185, 20175, 2368, 2019, 4315, 9413, 19845, 3334, 5575, 4315, 2019, 20679, 4078, 4895, 16451, 11106, 3549, 2015, 1999, 15028, 5893, 16427, 2346, 1010, 11374, 2669, 1010, 4561, 1006, 3280, 1000, 11374, 2669, 1011, 2019, 20679, 1000, 1007, 24532, 2368, 11417, 3334, 2063, 15421, 2818, 14778, 2618, 1012, 20377, 10210, 2618, 2281, 2760, 1006, 29536, 15185, 11106, 2389, 19646, 7033, 4078, 9413, 8865, 3215, 4315, 6655, 2890, 18032, 4181, 9056, 2368, 10431, 3854, 2740, 2710, 1007, 9413, 18367, 3388, 16266, 9336, 2078, 1010, 1999, 4315, 2474, 3351, 16950, 7367, 2378, 1010, 22894, 7389, 2094, 4403, 1015, 4315, 9413, 19845, 3334, 5575, 1045, 17875, 11374, 2669, 1011, 2019, 20679, 3963, 2575, 2243, 2290, 2131, 16901, 7159, 2229, 17985, 4013, 24185, 5403, 16950, 4013, 8566, 21548, 2368, 1012, 20377, 2258, 10476, 9413, 18367, 3388, 16266, 9336, 2078, 1010, 1999, 4315, 2474, 3351, 16950, 7367, 2378, 1010, 4013, 24185, 5403, 1016, 1012, 6185, 2509, 4705, 2131, 16901, 7159, 2229, 17985, 16950, 16216, 21559, 2102, 15710, 6528, 4315, 2310, 22379, 16093, 6528, 16283, 3854, 4895, 3351, 7011, 8093, 1015, 1010, 2382, 7922, 4013, 13250, 2213, 16950, 4013, 8566, 21548, 2368, 1012, 8289, 2063, 23564, 7317, 2368, 8254, 2094, 4895, 3334, 4315, 4698, 14227, 2063, 1010, 8695, 2015, 2035, 2063, 16216, 27773, 3207, 6914, 11106, 4328, 12734, 6914, 1010, 16216, 21230, 5794, 3207, 10210, 21395, 2078, 4682, 7512, 4371, 4221, 2078, 15536, 2063, 1062, 1012, 1038, 1012, 1044, 24887, 1011, 16216, 11657, 28667, 11039, 4371, 25090, 2290, 17924, 11374, 2669, 1011, 2019, 20679, 21500, 2666, 7512, 2102, 2057, 18246, 1012, 6655, 7373, 5910, 1011, 10651, 28668, 16266, 9336, 2078, 6045, 7939, 8529, 27773, 4315, 1018, 1012, 5174, 2213, 2475, 1006, 4895, 3351, 7011, 8093, 4749, 1012, 2199, 17718, 8609, 11263, 19310, 1007, 24665, 2080, 17499, 2078, 2019, 20679, 6519, 7939, 8247, 12083, 5575, 6491, 27100, 17960, 6442, 6151, 2310, 5339, 7373, 2497, 1999, 1041, 17198, 7693, 1010, 28668, 1010, 11113, 8449, 2818, 10483, 5054, 1012, 3280, 2022, 19570, 11039, 8004, 23239, 4315, 2019, 20679, 4241, 11140, 3280, 12124, 13719, 12098, 2480, 2638, 27605, 4674, 20679, 3372, 3126, 8814, 18246, 2821, 2638, 3696, 10128, 7556, 10111, 13435, 5794, 27584, 6914, 11113, 8449, 2818, 10483, 5054, 1012, 8695, 4895, 16451, 11106, 3549, 15536, 4103, 16417, 11417, 3334, 2229, 10651, 16216, 10609, 1010, 19181, 2078, 3280, 2203, 24848, 3775, 3351, 4962, 26837, 12734, 2290, 4315, 21200, 19570, 11039, 19022, 11106, 8551, 2368, 9413, 2618, 4014, 2102, 8814, 25547, 1012, 8289, 2063, 27838, 28228, 8873, 21548, 5575, 1010, 19181, 2078, 9413, 8865, 6528, 1010, 15536, 4103, 16266, 9336, 2078, 7939, 12324, 1045, 17875, 1041, 29206, 2368, 4241, 11140, 7861, 2050, 1011, 13938, 2361, 27838, 28228, 8873, 21548, 6528, 4013, 28351, 2618, 6151, 4315, 27838, 28228, 8873, 21548, 6528, 4013, 28351, 2618, 1998, 7869, 2099, 16950, 2213, 2310, 5339, 7373, 2497, 1999, 28668, 6151, 10047, 2717, 27412, 2078, 12124, 1010, 24185, 3423, 1010, 9413, 17298, 10609, 6151, 27665, 16216, 10105, 2078, 7849, 3351, 2022, 4213, 28362, 2078, 1010, 3280, 1999, 7939, 19734, 16173, 5357, 21388, 2753, 1003, 4078, 24665, 2080, 19310, 11774, 9050, 28139, 13087, 4682, 13512, 1012, 9933, 6151, 2310, 6190, 2953, 2497, 1006, 1054, 1007, 1011, 10651, 15536, 2063, 9413, 18367, 3388, 6045, 16266, 9336, 2078, 3280, 2190, 10450, 12734, 2290, 3854, 9933, 6960, 1006, 3280, 2125, 10993, 9257, 2571, 15536, 21217, 29043, 17658, 2121, 5575, 4757, 23567, 2063, 4078, 2455, 2229, 1007, 1999, 2433, 27665, 2099, 14689, 7033, 3215, 2121, 26086, 15532, 2290, 9413, 8865, 6528, 1010, 8529, 10210, 4315, 9056, 2368, 21548, 5575, 4315, 10768, 28228, 2290, 8059, 16275, 14127, 6968, 9285, 9153, 25970, 6519, 19960, 10993, 5498, 22842, 2015, 17985, 3481, 9759, 7011, 28362, 2078, 1012, 9933, 21541, 16417, 9897, 2121, 2190, 5685, 2618, 4014, 3854, 16266, 9336, 3619, 11374, 19699, 2923, 17071, 4372, 2102, 7184, 26896, 5620, 20528, 2618, 11239, 16417, 11624, 8751, 19310, 18337, 4315, 5106, 23567, 5575, 3854, 10768, 28228, 21600, 14127, 6968, 6528, 1010, 3280, 3280, 7353, 3771, 2618, 2310, 6190, 2953, 2497, 1006, 1054, 1007, 1011, 12297, 13578, 7033, 5575, 13473, 2818, 3630, 27095, 2310, 2099, 12449, 4181, 1012, 3280, 19169, 23115, 2368, 26036, 2102, 3854, 2310, 6190, 2953, 2497, 1006, 1054, 1007, 8814, 25547, 10047, 5017, 15536, 14728, 2099, 1999, 9535, 12849, 14191, 11514, 3771, 6528, 8221, 8525, 10265, 2078, 6151, 11693, 13210, 10143, 12870, 2078, 2310, 3217, 18032, 19646, 7033, 6528, 6887, 27292, 20411, 4939, 20624, 23796, 16326, 4757, 8525, 10265, 2078, 6151, 16054, 9013, 4315, 16012, 6299, 11263, 18259, 17007, 20175, 7942, 18886, 8743, 1012, 16266, 9336, 2078, 6045, 6892, 2480, 2102, 2190, 5685, 8004, 16215, 2278, 1011, 4078, 28345, 3686, 1999, 1045, 28362, 2078, 2019, 20679, 2078, 1999, 11374, 2669, 1010, 4561, 1010, 2014, 8449, 23567, 2102, 1010, 16417, 8670, 19966, 12377, 6519, 16950, 5283, 2078, 6199, 25538, 4013, 28351, 2618, 6519, 7939, 3562, 26212, 8024, 2102, 2061, 9148, 2063, 29536, 20683, 20236, 2618, 6887, 27292, 10936, 13765, 7315, 5403, 4013, 28351, 2618, 1012, 16266, 9336, 2078, 2310, 2099, 12449, 3207, 2618, 3280, 14145, 11624, 7033, 2102, 1011, 4078, 28345, 3370, 17924, 12297, 15185, 20175, 5575, 4078, 4475, 1012, 1000, 15536, 2099, 2613, 17417, 7869, 2078, 6151, 4372, 2102, 7184, 2884, 2078, 2035, 2063, 2004, 5051, 25509, 2063, 4078, 4895, 16451, 11106, 3549, 2015, 17070, 2050, 19310, 4895, 8043, 2229, 3488, 1010, 8529, 27665, 29536, 2099, 18367, 19022, 7974, 13910, 5575, 6519, 4895, 8043, 2063, 17712, 3508, 12069, 16950, 9413, 14272, 7770, 10210, 1042, 21940, 2015, 21200, 7939, 9413, 8865, 2102, 3854, 25532, 2078, 4241, 11140, 3280, 4372, 2102, 7184, 26896, 2290, 3854, 16216, 26527, 20240, 25311, 20175, 2368, 6151, 16950, 16846, 2480, 27412, 2099, 6904, 4048, 2290, 29501, 6528, 25520, 16417, 4895, 16451, 11106, 3549, 6519, 27665, 2078, 7987, 10875, 2618, 4014, 4315, 12849, 16173, 1010, 3280, 2158, 1999, 8289, 6633, 7367, 25509, 2953, 9033, 11106, 2102, 1012, 19723, 3771, 5575, 23823, 10343, 7033, 3215, 4783, 16368, 4181, 4895, 7747, 8525, 23102, 2078, 11417, 3334, 10606, 4895, 8043, 4895, 16451, 11106, 3549, 1010, 27427, 6633, 9033, 2063, 4895, 2015, 25520, 27665, 2015, 3854, 27665, 2099, 2192, 6767, 3363, 4895, 16451, 11106, 3549, 10210, 9056, 2368, 10431, 6519, 19960, 10993, 5498, 22842, 2015, 17985, 6151, 4013, 28351, 19646, 2666, 7512, 5575, 2310, 5339, 2527, 24997, 1012, 15536, 2099, 8254, 2094, 21200, 3280, 20377, 23755, 2080, 9413, 14272, 29005, 15421, 2818, 14778, 6528, 2358, 4747, 2480, 6151, 2057, 18246, 7939, 4895, 16451, 11106, 3549, 26760, 8743, 4241, 11140, 2358, 11657, 17701, 5403, 6903, 3771, 5575, 4895, 8043, 2229, 16216, 26527, 2015, 6583, 2818, 20248, 17643, 8873, 2063, 1010, 2358, 11657, 17701, 5403, 15697, 22753, 2368, 1010, 24209, 11475 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 2552, 2078, 2509, 1008, 2003, 1037, 4962, 2008, 4372, 23237, 2005, 6541, 1011, 2552, 5498, 2078, 1011, 1017, 1010, 1037, 5250, 5228, 2069, 1999, 2828, 1011, 2462, 6740, 16662, 1006, 2167, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 25746, 1033, 1007, 1012, 1037, 2691, 26572, 19539, 1999, 2023, 4962, 2003, 1054, 28311, 2581, 2595, 1006, 12667, 15136, 16068, 2581, 23499, 1007, 1010, 2073, 1037, 1039, 1011, 2000, 1011, 1056, 2918, 20885, 3463, 1999, 1996, 8651, 1997, 2019, 12098, 11528, 3170, 2918, 1006, 1054, 1007, 2000, 1037, 21371, 2644, 19429, 2239, 1006, 1060, 1007, 1012, 1060, 2035, 12260, 24004, 9096, 3995, 4570, 2024, 13366, 20132, 1999, 1996, 6541, 1011, 2552, 5498, 2078, 1011, 1017, 5250, 1010, 2029, 2003, 3378, 2007, 1037, 2896, 3435, 1011, 19435, 11917, 7017, 1006, 6320, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2575, 2683, 1033, 1007, 1010, 2021, 2515, 2025, 2765, 1999, 4295, 1006, 17719, 1998, 2167, 1010, 1031, 1030, 1038, 22932, 1033, 1007, 1012, 1996, 22038, 8991, 26305, 6075, 12980, 2408, 5636, 2967, 1010, 2007, 3155, 2423, 1003, 1997, 4004, 2015, 1010, 2324, 1003, 1997, 23368, 2015, 1010, 2340, 1003, 1997, 15101, 2015, 1010, 1017, 1003, 1997, 17851, 1998, 2149, 3060, 4841, 1010, 1998, 1015, 1003, 1997, 20428, 2015, 1998, 11884, 2015, 18840, 1996, 22038, 8991, 26305, 1006, 8675, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23352, 1033, 1025, 17719, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21472, 1033, 1025, 3660, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 16086, 1033, 1007, 1012, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 2003, 3378, 2007, 3177, 1998, 2373, 6887, 16515, 13874, 2015, 1012, 8675, 3802, 2632, 1012, 1006, 1031, 1030, 1038, 2581, 2549, 1033, 1007, 2988, 2008, 7069, 9043, 7576, 2018, 6022, 3020, 13139, 1997, 1996, 1054, 2035, 12260, 2084, 7711, 1010, 1037, 4531, 2008, 2038, 2042, 28024, 2094, 3674, 2335, 1999, 3177, 1010, 2373, 1998, 3997, 7576, 1006, 2852, 17040, 5369, 15088, 20718, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23833, 1033, 1025, 12211, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 27814, 1033, 1025, 1041, 6038, 2239, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22407, 1033, 1025, 6289, 11368, 4492, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2475, 1033, 1025, 25022, 2229, 29419, 15922, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2549, 1033, 1025, 11382, 5283, 5428, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1025, 13008, 22172, 4183, 9488, 2226, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22275, 1033, 1025, 2057, 10532, 20528, 19310, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2581, 2487, 1033, 1025, 8675, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2581, 2575, 1033, 1007, 1010, 2348, 2122, 9556, 2024, 2025, 16655, 15549, 6767, 9289, 1006, 3660, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 16086, 1033, 1025, 18353, 17726, 9013, 2063, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21486, 1033, 1025, 7367, 11488, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 2575, 2487, 1033, 1007, 1012, 5819, 8675, 3802, 2632, 1012, 1006, 1031, 1030, 1038, 2581, 2549, 1033, 1007, 2179, 1037, 9874, 2646, 2019, 3445, 22038, 8991, 26305, 6075, 1999, 14280, 7576, 5443, 1012, 7711, 1010, 2023, 3276, 2003, 2625, 15873, 1010, 2007, 2087, 2913, 7316, 1037, 3768, 1997, 2523, 2090, 22038, 8991, 26305, 1998, 14280, 2836, 1006, 12337, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 20958, 1033, 1025, 15247, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 28154, 1033, 1025, 2079, 4892, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17788, 1033, 1025, 11382, 5283, 5428, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24434, 1033, 1007, 1012, 1999, 2804, 1010, 5819, 20428, 1998, 15101, 14280, 7190, 2024, 3811, 3144, 1006, 19863, 5677, 1998, 14496, 11733, 10521, 1010, 1031, 1030, 1038, 2581, 2475, 1033, 1007, 1010, 1996, 6075, 1997, 1996, 22038, 8991, 26305, 2306, 2023, 2177, 2003, 2200, 2659, 2012, 1022, 1003, 1006, 15101, 1007, 1998, 1015, 1003, 1006, 20428, 1007, 1006, 8675, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23352, 1033, 1007, 1012, 2004, 2107, 1010, 1996, 2236, 10465, 2003, 2008, 1008, 2552, 2078, 2509, 1008, 1060, 2035, 12260, 3497, 2515, 2025, 19933, 7069, 14280, 8258, 3570, 1006, 3158, 27085, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 28756, 1033, 1007, 1012, 2172, 1997, 1996, 3086, 2006, 1008, 2552, 2078, 2509, 1008, 2038, 4208, 2006, 1996, 15873, 3276, 2007, 1996, 1054, 2035, 12260, 1998, 3997, 1013, 2373, 6887, 16515, 13874, 1010, 2007, 1037, 2193, 1997, 4391, 2582, 11131, 2023, 3276, 1006, 1041, 6038, 2239, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24594, 1033, 1025, 5003, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 23777, 1033, 1025, 6289, 11368, 4492, 1998, 7349, 11439, 15088, 20718, 1010, 1031, 1030, 1038, 2509, 1033, 1007, 1012, 5262, 1010, 1037, 2193, 1997, 4981, 14964, 1008, 2552, 2078, 2509, 1008, 2004, 1037, 1000, 4962, 2005, 3177, 1000, 1006, 17719, 1998, 2167, 1010, 1031, 1030, 1038, 22932, 1033, 1025, 9212, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2509, 1033, 1025, 29482, 1998, 2167, 1010, 1031, 1030, 1038, 2620, 1033, 1007, 1012, 2174, 1010, 8361, 3350, 6083, 2008, 2023, 26572, 19539, 2089, 4254, 1037, 2193, 1997, 2060, 12955, 1010, 2164, 6912, 7233, 1010, 4544, 3891, 1010, 1998, 2731, 6789, 1006, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1025, 14255, 3672, 2050, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 24087, 1033, 1025, 3742, 3593, 2850, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 12376, 1033, 1007, 1012, 1996, 3800, 1997, 2023, 7163, 1011, 3319, 2003, 2000, 2582, 8849, 2122, 4022, 6550, 1010, 2004, 2019, 3445, 4824, 1997, 1996, 2535, 2209, 2011, 1008, 2552, 2078, 2509, 1008, 2006, 2122, 12955, 2089, 2599, 2000, 8377, 1999, 1996, 27891, 1997, 7403, 2592, 1999, 6912, 2731, 1012, 1008, 2552, 2078, 2509, 1008, 2004, 1037, 16913, 20350, 1997, 2731, 3433, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2058, 1996, 2197, 2322, 2030, 2061, 2086, 1010, 1996, 8335, 10318, 4254, 1997, 14471, 2006, 6912, 6789, 2038, 2042, 2092, 10641, 1006, 8945, 10875, 4232, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2487, 1033, 1025, 8945, 10875, 4232, 1010, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 5819, 2009, 2003, 3154, 2008, 14471, 2038, 2019, 25672, 12083, 3064, 3747, 2006, 2119, 6912, 2836, 1006, 9535, 2232, 1998, 12211, 1010, 1031, 1030, 1038, 22022, 1033, 1007, 1998, 6789, 1006, 10856, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 26224, 1033, 1007, 1010, 8491, 2913, 11628, 1996, 3747, 1997, 3265, 2309, 16371, 14321, 26601, 26572, 19539, 2015, 1006, 1055, 16275, 2015, 1007, 1006, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1007, 1010, 2030, 1037, 5257, 1997, 1055, 16275, 2015, 1006, 3557, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21619, 1033, 1007, 1010, 2006, 2023, 2832, 1012, 1999, 2023, 2930, 1010, 2057, 8849, 1996, 3350, 4953, 1996, 4254, 1997, 1008, 2552, 2078, 2509, 1008, 2006, 1996, 2695, 1011, 6912, 19293, 3433, 1012, 2206, 1037, 14336, 3906, 3945, 1010, 2057, 2179, 2274, 2913, 2008, 8920, 1996, 3747, 1997, 1008, 2552, 2078, 2509, 1008, 2006, 6912, 6789, 2000, 1037, 16367, 2731, 4746, 1006, 2795, 1031, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1007, 1012, 2176, 1997, 2122, 3273, 5012, 2731, 1006, 18648, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2629, 1033, 1025, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1025, 23857, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 27009, 1033, 1025, 27139, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22907, 1033, 1007, 1010, 1998, 2028, 4208, 2006, 18440, 13592, 2731, 1006, 11183, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21084, 1033, 1007, 1012, 2019, 3176, 2817, 1006, 23848, 2072, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 18139, 1033, 1007, 1010, 17785, 3431, 1999, 29536, 1066, 1016, 5051, 4817, 1066, 2058, 1037, 2274, 1011, 2095, 2558, 1999, 7069, 21294, 2015, 1010, 2007, 2053, 3278, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 5966, 1012, 2174, 1010, 1996, 6912, 8830, 1999, 2023, 2817, 2001, 2025, 4758, 1010, 1998, 2061, 2057, 2106, 2025, 2421, 2009, 2306, 2795, 1031, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 2045, 2001, 6196, 8386, 1999, 1996, 9556, 1012, 2005, 5012, 2731, 1010, 2048, 2913, 2988, 2008, 1996, 25269, 8991, 26305, 2001, 3378, 2007, 1996, 4602, 3623, 1999, 3997, 1006, 23857, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 27009, 1033, 1007, 1998, 2373, 1006, 3972, 8202, 11261, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 17465, 1033, 1007, 2206, 5012, 2731, 1012, 2028, 2817, 2988, 2053, 3466, 1997, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 2006, 2731, 17241, 2206, 5012, 2731, 1006, 27139, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 22907, 1033, 1007, 1012, 2178, 2988, 3618, 7620, 1999, 2028, 1011, 23318, 4555, 1006, 1015, 10867, 1007, 1999, 1060, 2035, 12260, 11363, 4102, 2000, 25269, 8991, 26305, 2015, 1006, 18648, 3802, 2632, 1012, 1010, 1031, 1030, 29491, 2629, 1033, 1007, 1012, 1037, 2582, 2817, 12550, 1008, 2552, 2078, 2509, 1008, 2306, 1037, 2321, 1011, 1055, 16275, 2561, 8991, 26305, 3556, 1006, 1056, 5620, 1007, 1010, 4531, 2008, 3633, 2007, 1037, 3020, 2193, 1997, 2373, 2035, 26741, 1006, 2107, 2004, 1008, 2552, 2078, 2509, 1008, 1054, 1007, 8176, 3618, 8377, 2206, 2152, 1011, 8015, 5012, 2731, 4102, 2000, 2659, 1011, 8015, 5012, 2731, 1006, 3557, 3802, 2632, 1012, 1010, 1031, 1030, 1038, 21619, 1033, 1007, 1012, 2174, 1010, 2138, 5739, 2071, 2031, 1996, 1008, 2552, 2078, 2509, 1008, 22038, 8991, 26305, 1998, 2145, 2022, 27811, 2004, 2216, 2040, 2052, 2190, 6869, 2000, 2152, 1011, 8015, 2731, 1006, 2349, 2000, 1996, 6664, 1997, 1037, 3020, 2193, 1997, 2035, 26741, 1999, 2060, 2373, 1011, 3378, 1055, 16275, 2015, 1007, 1010, 2057, 2106, 2025, 2421, 2023, 2817, 2306, 2795, 1031, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 2913, 12843, 1996, 8290, 2090, 1008, 2552, 2078, 2509, 1008, 8991, 26305, 1998, 6912, 6789, 1012, 1008, 1008, 2817, 1008, 1008, 1008, 1008, 4118, 1008, 1008, 1008, 1008, 7099, 6459, 1008, 1008, 1008, 1008, 2364, 9560, 1008, 1008, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1043, 1012, 1015, 2292, 1055, 2022, 1006, 1016, 1013, 1020, 1009, 1017, 1007, 1008, 2382, 1013, 2322, 1012, 6814, 1019, 1008, 1043, 1011, 6275, 1027, 1011, 1018, 1008, 1039, 1010, 1055, 1008, 1043, 1027, 1019, 1008, 1039, 1011, 1022, 1008, 1039, 1009, 6282, 1012, 9611, 1018, 1008, 1056, 1011, 1043, 1027, 1016, 1008, 1045, 1010, 1011, 1016, 1008, 1045, 1011, 2423, 1027, 1011, 1019, 1008, 1056, 1011, 1018, 2005, 1056, 1012, 1017, 2292, 1048, 1006, 1040, 1007, 1027, 1016, 1008, 1040, 1012, 2292, 1061, 2022, 1048, 1006, 1016, 1007, 1012, 6814, 2322, 1008, 1039, 1011, 6564, 1027, 19955, 1012, 2292, 1045, 1006, 1053, 1007, 1027, 1053, 1008, 1008, 1016, 1011, 2184, 1008, 1053, 1009, 2184, 1012, 2292, 1049, 2022, 1045, 1006, 1023, 1007, 1012, 9611, 1017, 1008, 1059, 1009, 1061, 1008, 1058, 1009, 1018, 1027, 1011, 1049, 1010, 1011, 1019, 1008, 1059, 1011, 1058, 1027, 1039, 2005, 1059, 1012, 1011, 1017, 6814, 1011, 2382, 1027, 1011, 2539, 1008, 1052, 1009, 1022, 1012, 6814, 1011, 1060, 1009, 1016, 1008, 1039, 1009, 1023, 1027, 1014, 1010, 1019, 1008, 1060, 1011, 1019, 1008, 1039, 1027, 1011, 1052, 1008, 1039, 1009, 2861, 1012, 9611, 1014, 1027, 1011, 1060, 1008, 1056, 1011, 1016, 1008, 1037, 1009, 2321, 1010, 1017, 1008, 1056, 1009, 1019, 1027, 1011, 1037, 1009, 2321, 2005, 1056, 1012, 1019, 2292, 1057, 1006, 1056, 1007, 1027, 1011, 1056, 1008, 1008, 1017, 1011, 1020, 1008, 1056, 1008, 1008, 1016, 1009, 1019, 1008, 1056, 1011, 1016, 1012, 2292, 1046, 2022, 1057, 1006, 1011, 1021, 1007, 1012, 2292, 1048, 2022, 1006, 1011, 2321, 1007, 1013, 1006, 1011, 1017, 1007, 1009, 1011, 1015, 1009, 2260, 1009, 1011, 2403, 1009, 1017, 1012, 9611, 1011, 2324, 1027, 1011, 1017, 1008, 1054, 1011, 1048, 1008, 1045, 1009, 1022, 1010, 1017, 1008, 1045, 1027, 1046, 2005, 1054, 1012, 1016, 2292, 1062, 2022, 1017, 1013, 1006, 1011, 2324, 1007, 1009, 6109, 2683, 1013, 2324, 1012, 6814, 1011, 1037, 1009, 1052, 1009, 2756, 1027, 1014, 1010, 1016, 1008, 1037, 1011, 1017, 1008, 1052, 1027, 1062, 1009, 2184, 1012, 2292, 1058, 1027, 4229, 21472, 1009, 1011, 4229, 12740, 1012, 9611, 1011, 1048, 1011, 1058, 1009, 1016, 1027, 1014, 1010, 1037, 1027, 1011, 1017, 1008, 1051, 1011, 1018, 1008, 1048, 2005, 1051, 1012, 1011, 1017, 2292, 1040, 1027, 1011, 4090, 1011, 1011, 2539, 1012, 2292, 1053, 1027, 4008, 2509, 1011, 3429, 2575, 1012, 2292, 1051, 1027, 1053, 1011, 1040, 1012, 9611, 1018, 1027, 1017, 1008, 1057, 1011, 1018, 1008, 1057, 1010, 1011, 1051, 1008, 1057, 1027, 1019, 1008, 1043, 1009, 2603, 2005, 1043, 1012, 1011, 1017, 6814, 1011, 1038, 1027, 1011, 1017, 1008, 1049, 1011, 2656, 1009, 2654, 1010, 1011, 1018, 1008, 1038, 1011, 1017, 1008, 1049, 1027, 1011, 4261, 1012, 6814, 1015, 1027, 1016, 1008, 1047, 1009, 1047, 1011, 1048, 1010, 1011, 1048, 1027, 1047, 1011, 1038, 1012, 9611, 1017, 1027, 1011, 1018, 1008, 1050, 1011, 1018, 1008, 1060, 1011, 3943, 1010, 1011, 1017, 1008, 1050, 1009, 1016, 1008, 1060, 1027, 1047, 2005, 1050, 1012, 1011, 1018, 2292, 1046, 1027, 1011, 20982, 2629, 1011, 1011, 20982, 2620, 1012, 9611, 1014, 1027, 1017, 1008, 1054, 1009, 1019, 1008, 1050, 1011, 1014, 1009, 1017, 1010, 1014, 1027, 1018, 1008, 1054, 1011, 1046, 1008, 1050, 1009, 1018, 2005, 1054, 1012, 1011, 1015, 2292, 1060, 2022, 1016, 1013, 1006, 1011, 2260, 1007, 1011, 1006, 1006, 1011, 21679, 1007, 1013, 1006, 1011, 2382, 1007, 1011, 1023, 1007, 1012, 2292, 1062, 2022, 1060, 1013, 1006, 1011, 1018, 1007, 1009, 1006, 1011, 1016, 1011, 3438, 1013, 1006, 1011, 2385, 1007, 1007, 1012, 9611, 1011, 1021, 1027, 1017, 1008, 1051, 1011, 1014, 1008, 1043, 1009, 1062, 1008, 1043, 1010, 1011, 1017, 1008, 1051, 1027, 1018, 1008, 1043, 1009, 1019, 2005, 1051, 1012, 1011, 1017, 6814, 1011, 1019, 1008, 1046, 1027, 1011, 1017, 1008, 1055, 1011, 4724, 1010, 1011, 1017, 1008, 1055, 1027, 1017, 1008, 1046, 1009, 4293, 1011, 5824, 1012, 9611, 1011, 1018, 1008, 1049, 1027, 1046, 1008, 1053, 1009, 1018, 1010, 1011, 1016, 1008, 1049, 1011, 1018, 1027, 1011, 1016, 1008, 1053, 1011, 1016, 2005, 1049, 1012, 1011, 1015, 6814, 1011, 1019, 1008, 1049, 1027, 1016, 1008, 1057, 1009, 2676, 1010, 2382, 1027, 1018, 1008, 1057, 1011, 1018, 1008, 1049, 1009, 1016, 1008, 1049, 1012, 9611, 1016, 1008, 1037, 1011, 1019, 1008, 1054, 1027, 1011, 1017, 1008, 1054, 1011, 1057, 1010, 1014, 1027, 1011, 1019, 1008, 1037, 1011, 1019, 1008, 1054, 1011, 2871, 2005, 1037, 1012, 1011, 1019, 2292, 1037, 2022, 1006, 1015, 1009, 1020, 1007, 1008, 9475, 1013, 22898, 1012, 6814, 1037, 1027, 1020, 1008, 1057, 1011, 2322, 1012, 9611, 1011, 1017, 1008, 1054, 1011, 1019, 1008, 1061, 1027, 2410, 1010, 1011, 1057, 1008, 1061, 1011, 1022, 1027, 1011, 1018, 1008, 1054, 1009, 1016, 1008, 1054, 2005, 1054, 1012, 1011, 1015, 2292, 1050, 1027, 1011, 3515, 1011, 1011, 6640, 1012, 2292, 1044, 1006, 1037, 1007, 1027, 1011, 2539, 1011, 1050, 1008, 1037, 1009, 1016, 1008, 1037, 1008, 1008, 1016, 1009, 2260, 1008, 1037, 1009, 2656, 1008, 1037, 1012, 2292, 1061, 2022, 1044, 1006, 1011, 2340, 1007, 1012, 9611, 1052, 1027, 1011, 1061, 1008, 1052, 1011, 1018, 1008, 1047, 1011, 1018, 1010, 1052, 1027, 1017, 1008, 1047, 1011, 2410, 2005, 1052, 1012, 1011, 1018, 2292, 1061, 2022, 3943, 1013, 6255, 1009, 16459, 1013, 2403, 1012, 6814, 2260, 1008, 1057, 1011, 2324, 1008, 1057, 1027, 4466, 1012, 2292, 1037, 1027, 1057, 1009, 1061, 1012, 9611, 1050, 1009, 1017, 1027, 1019, 1008, 1051, 1010, 1011, 1017, 1008, 1051, 1011, 1037, 1008, 1050, 1009, 1017, 1027, 1011, 1020, 1008, 1051, 2005, 1051, 1012, 1015, 6814, 2539, 1008, 1039, 1011, 4229, 1009, 2656, 1027, 3429, 1012, 9611, 1020, 1027, 1011, 1057, 1011, 1018, 1008, 1054, 1011, 1054, 1010, 1017, 1008, 1054, 1027, 1011, 1039, 2005, 1057, 1012, 1011, 1015, 2292, 1048, 1027, 13756, 2581, 2487, 1009, 1011, 13756, 28311, 1012, 9611, 1016, 1008, 1042, 1009, 1017, 1008, 1039, 1027, 1048, 1010, 1017, 1008, 1042, 1027, 1019, 1008, 1039, 1011, 1022, 1011, 1023, 2005, 1042, 1012, 1015, 2292, 1038, 1006, 1047, 1007, 1027, 1011, 1047, 1008, 1008, 1017, 1009, 2340, 1008, 1047, 1008, 1008, 1016, 1011, 2484, 1008, 1047, 1009, 16333, 1012, 2292, 1048, 2022, 1038, 1006, 2184, 1007, 1012, 9611, 1018, 1008, 1044, 1011, 1017, 1008, 1039, 1011, 3486, 1027, 1014, 1010, 1014, 1027, 1011, 1021, 1008, 1044, 1009, 1048, 1008, 1044, 1011, 1019, 1008, 1039, 1011, 2322, 2005, 1044, 1012, 1019, 2292, 1052, 2022, 1006, 1006, 1011, 6356, 1007, 1013, 27200, 1007, 1013, 1006, 1006, 1015, 1013, 1022, 1007, 1013, 1006, 1011, 1015, 1007, 1007, 1012, 2292, 1049, 1006, 1062, 1007, 1027, 1011, 4868, 1008, 1062, 1009, 10114, 1012, 2292, 1047, 2022, 1049, 1006, 1052, 1007, 1012, 9611, 1011, 1019, 1008, 1054, 1011, 1017, 1008, 1061, 1011, 1015, 1027, 1014, 1010, 1011, 1047, 1008, 1061, 1027, 1011, 1017, 1008, 1054, 1011, 1017, 1009, 2403, 2005, 1054, 1012, 1015, 6814, 1011, 1016, 1008, 1055, 1011, 1022, 1027, 1011, 2385, 1012, 6814, 1011, 1055, 1008, 1054, 1011, 1016, 1008, 1050, 1011, 1017, 1008, 1050, 1009, 3515, 1027, 1014, 1010, 1019, 1008, 1054, 1027, 1011, 1016, 1008, 1050, 1009, 6255, 1012, 6814, 2459, 1008, 1051, 1011, 1054, 1027, 2260, 1008, 1051, 1012, 9611, 1011, 1017, 1008, 1060, 1027, 1011, 1014, 1008, 1060, 1011, 1018, 1008, 1037, 1009, 2403, 1010, 1011, 1060, 1009, 1051, 1008, 1037, 1011, 2410, 1027, 1014, 2005, 1060, 1012, 1016, 2292, 1045, 1006, 1042, 1007, 1027, 1011, 3429, 1008, 1042, 1009, 1018, 1012, 2292, 1052, 1027, 25162, 1009, 1011, 25162, 1012, 2292, 1039, 2022, 1045, 1006, 1052, 1007, 1012, 9611, 1011, 1017, 1008, 1038, 1027, 1016, 1008, 1049, 1011, 2322, 1010, 1022, 1027, 1017, 1008, 1038, 1011, 1039, 2005, 1049, 1012, 1018, 6814, 1014, 1027, 1011, 1016, 1008, 1039, 1011, 1019, 1008, 1057, 1009, 5585, 1010, 1018, 1008, 1039, 1011, 1017, 1008, 1057, 1011, 20666, 1027, 1011, 1039, 1012, 2292, 1037, 1006, 1058, 1007, 1027, 1011, 1018, 1008, 1058, 1009, 1039, 1011, 2382, 1009, 1017, 1008, 1058, 1012, 2292, 1056, 2022, 1037, 1006, 2321, 1007, 1012, 9611, 1046, 1009, 1016, 1008, 1049, 1009, 1016, 1008, 1049, 1027, 2403, 1010, 1011, 1056, 1008, 1049, 1027, 1011, 1018, 1008, 1046, 1011, 2385, 2005, 1046, 1012, 1011, 1016, 2292, 1059, 1006, 1044, 1007, 1027, 1044, 1008, 1008, 1016, 1011, 1022, 1008, 1044, 1011, 1022, 1012, 2292, 1039, 2022, 1059, 1006, 1011, 1017, 1007, 1012, 6814, 1011, 1037, 1011, 1018, 1008, 1037, 1011, 1039, 1027, 1014, 1010, 1019, 1027, 1019, 1008, 1051, 1009, 1017, 1008, 1037, 1012, 9611, 1014, 1027, 1045, 1009, 1051, 1008, 1049, 1009, 2260, 1010, 1011, 4029, 1027, 1016, 1008, 1045, 1011, 1021, 1008, 1045, 1009, 1018, 1008, 1049, 2005, 1045, 1012, 1018, 2292, 1053, 1027, 1011, 5585, 1011, 1011, 13029, 1012, 6814, 1053, 1008, 1060, 1027, 1011, 2538, 1009, 20500, 1012, 9611, 1018, 1008, 1056, 1009, 1062, 1009, 1023, 1027, 1014, 1010, 1062, 1009, 1060, 1027, 1017, 1008, 1062, 2005, 1056, 1012, 1011, 1017, 2292, 1062, 1027, 10114, 2620, 2549, 1009, 1011, 10114, 26187, 1012, 9611, 1011, 1018, 1008, 1043, 1027, 1011, 1019, 1008, 1060, 1009, 1020, 1008, 1060, 1011, 1062, 1010, 1014, 1027, 1011, 1018, 1008, 1043, 1009, 2385, 2005, 1060, 1012, 1017, 2292, 1047, 2022, 1016, 1011, 1015, 1011, 1006, 1011, 6390, 1011, 1014, 1007, 1012, 6814, 1011, 1018, 1008, 1045, 1011, 1016, 1008, 1048, 1027, 1011, 1045, 1011, 2322, 1010, 1011, 1017, 1008, 1048, 1027, 1011, 1017, 1008, 1045, 1012, 9611, 1017, 1008, 1046, 1027, 1011, 1059, 1011, 1021, 1010, 1014, 1027, 1045, 1008, 1046, 1011, 1019, 1008, 1059, 1011, 2861, 1009, 1047, 2005, 1046, 1012, 1011, 1018, 6814, 1019, 1011, 1019, 1027, 6640, 1008, 1057, 1011, 1014, 1012, 9611, 1017, 1008, 1039, 1009, 1057, 1009, 2184, 1027, 1059, 1010, 2403, 1027, 1017, 1008, 1059, 1011, 1039, 2005, 1059, 1012, 1018, 2292, 1037, 1027, 1011, 5786, 2575, 2581, 1011, 1011, 5786, 2575, 2581, 1012, 9611, 1017, 1008, 1059, 1009, 1017, 1008, 1060, 1027, 1037, 1010, 1014, 1027, 1059, 1009, 1016, 1008, 1060, 1011, 1021, 1009, 1017, 2005, 1059, 1012, 1011, 1018, 2292, 1048, 1006, 1057, 1007, 1027, 3943, 1008, 1057, 1011, 17267, 1012, 2292, 1046, 2022, 1048, 1006, 2403, 1007, 1012, 9611, 1011, 1044, 1009, 6365, 1027, 3938, 1010, 1017, 1008, 1058, 1027, 1044, 1009, 1046, 2005, 1058, 1012, 1016, 2292, 1058, 1027, 10550, 2683, 1009, 1011, 8746, 2549, 1012, 9611, 1011, 2324, 1011, 1015, 1027, 1011, 1019, 1008, 1048, 1011, 1017, 1008, 1054, 1010, 1017, 1008, 1048, 1011, 1019, 1008, 1054, 1011, 1058, 1027, 1014, 2005, 1048, 1012, 1019, 6814, 1060, 1009, 1060, 1027, 2260, 1012, 2292, 1037, 1006, 1040, 1007, 1027, 3429, 1008, 1040, 1011, 1018, 1011, 10630, 1008, 1040, 1009, 4601, 1008, 1040, 1009, 4029, 1008, 1040, 1011, 1040, 1008, 1008, 1016, 1012, 2292, 1049, 2022, 1037, 1006, 1060, 1007, 1012, 9611, 1011, 1019, 1008, 1050, 1011, 1049, 1008, 1056, 1027, 1011, 2570, 1010, 1018, 1011, 1020, 1027, 1011, 1016, 1008, 1056, 2005, 1050, 1012, 1018, 6814, 1014, 1027, 1011, 2403, 1008, 1061, 1009, 2321, 1008, 1061, 1011, 6070, 1012, 2292, 1056, 1027, 1061, 1009, 1011, 6535, 1012, 6814, 1023, 1027, 1016, 1008, 1062, 1011, 1056, 1012, 9611, 1016, 1008, 1051, 1009, 1062, 1009, 2340, 1027, 1011, 1018, 1008, 1053, 1010, 1014, 1027, 1018, 1008, 1053, 1009, 1018, 1008, 1051, 1009, 2484, 2005, 1053, 1012, 1011, 1018, 2292, 1058, 1006, 1055, 1007, 1027, 1011, 1055, 1008, 1008, 1016, 1011, 5179, 1008, 1055, 1011, 6275, 2487, 1012, 2292, 1047, 2022, 1058, 1006, 1011, 2756, 1007, 1012, 9611, 1039, 1027, 1011, 1016, 1008, 1051, 1011, 1019, 1010, 1011, 1016, 1008, 1039, 1009, 1020, 1008, 1039, 1027, 1047, 1008, 1051, 2005, 1039, 1012, 1011, 1015, 2292, 1053, 2022, 1011, 1020, 1011, 1006, 1021, 1009, 1011, 1022, 1009, 1011, 3943, 1007, 1012, 6814, 1053, 1009, 5187, 1027, 2676, 1008, 1040, 1012, 9611, 1011, 1017, 1008, 1051, 1009, 2321, 1027, 1014, 1010, 1017, 1008, 1043, 1011, 1040, 1008, 1051, 1009, 1014, 1009, 2676, 1027, 1014, 2005, 1043, 1012, 1011, 1018, 2292, 1044, 2022, 2324, 1011, 1006, 4413, 1009, 1011, 1021, 1009, 1011, 2538, 1007, 1012, 9611, 1014, 1027, 1011, 1057, 1011, 1052, 1009, 2403, 1011, 2410, 1010, 2260, 1027, 1044, 1008, 1057, 1009, 1016, 1008, 1052, 2005, 1057, 1012, 1019, 2292, 1044, 1006, 1049, 1007, 1027, 1011, 1049, 1008, 1008, 1016, 1011, 1019, 1008, 1049, 1011, 1015, 1012, 2292, 1047, 2022, 1044, 1006, 1011, 1018, 1007, 1012, 2292, 1053, 1027, 24837, 1011, 4029, 2549, 1012, 2292, 1037, 1006, 1048, 1007, 1027, 1048, 1008, 1008, 1016, 1011, 4008, 1008, 1048, 1009 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2000, 2022, 2405, 1999, 1996, 2880, 4311, 2436, 1997, 1996, 4905, 2236, 2110, 1997, 2662, 3817, 1041, 1012, 11192, 7389, 4905, 2236, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 5448, 1024, 1024, 2053, 1012, 5345, 1011, 22060, 1997, 1024, 1024, 2285, 2322, 1010, 2786, 3817, 1041, 1012, 11192, 7389, 1024, 4905, 2236, 1024, 1024, 4938, 1055, 1012, 4830, 6819, 3995, 1024, 4112, 4905, 2236, 1024, 1024, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1035, 1996, 13556, 9660, 6017, 1010, 2266, 1997, 1996, 2662, 2110, 4001, 1010, 2038, 7303, 2019, 5448, 2006, 1996, 2206, 3980, 1024, 1015, 1012, 2089, 1037, 2221, 9278, 2686, 2000, 1037, 2797, 1010, 2512, 1011, 5618, 3029, 2005, 1996, 3169, 1997, 1037, 3824, 2396, 2688, 1999, 1037, 2311, 5224, 2011, 1996, 2221, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 1010, 2073, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1029, 1016, 1012, 2089, 1037, 6111, 2221, 7065, 11045, 2049, 12276, 1997, 1037, 2311, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 2302, 4942, 21532, 4522, 4128, 1010, 2073, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1029, 15306, 1015, 1012, 1037, 2221, 2089, 9278, 2686, 2000, 1037, 2797, 1010, 2512, 1011, 5618, 3029, 2005, 1996, 3169, 1997, 1037, 3824, 2396, 2688, 1999, 1037, 2311, 5224, 2011, 1996, 2221, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 1010, 2130, 2295, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1010, 3024, 2008, 1996, 2224, 1997, 1996, 2311, 2004, 1037, 2688, 2003, 5043, 2389, 2000, 1010, 8335, 2007, 1010, 1998, 2515, 2025, 6151, 5313, 2100, 15115, 2007, 1996, 9608, 2224, 1997, 1996, 2311, 2011, 1996, 8244, 1005, 2523, 1012, 1015, 1012, 5345, 1011, 22060, 1016, 1012, 1037, 6111, 2221, 2089, 2025, 7065, 11045, 2049, 12276, 1997, 1037, 2311, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 2302, 4942, 21532, 4522, 4128, 1010, 2073, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 2030, 3785, 1997, 1996, 2221, 1005, 1055, 12276, 2005, 2107, 2224, 1010, 2038, 2025, 9619, 2098, 2000, 1996, 7065, 23909, 1997, 1996, 12276, 2005, 2107, 2224, 1010, 1998, 2038, 2025, 4704, 2049, 2224, 1997, 1996, 2311, 1012, 4106, 27081, 2000, 1996, 8910, 1997, 2510, 1998, 8244, 3642, 2930, 14010, 2475, 1010, 1015, 1996, 2604, 1997, 22565, 1997, 1037, 2221, 2089, 1000, 3073, 1010, 5441, 2030, 3073, 1998, 5441, 3121, 1010, 3986, 9873, 1010, 3116, 3182, 1010, 3986, 6328, 1010, 2030, 8640, 6401, 2005, 1996, 2224, 2030, 5770, 1997, 2028, 2030, 2062, 8244, 1005, 8924, 1012, 1000, 1006, 2156, 2813, 1058, 1012, 2110, 1997, 2662, 1006, 3918, 1007, 6421, 10250, 1012, 10439, 1012, 14134, 6640, 2620, 1010, 28122, 1011, 6391, 2487, 1025, 5786, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 3515, 2629, 1006, 3245, 1007, 1012, 1007, 1996, 9347, 1997, 2107, 1037, 4322, 27081, 2000, 2930, 14010, 2475, 1998, 2049, 9920, 2011, 1996, 8244, 1005, 2523, 17367, 1037, 12276, 2005, 2107, 2224, 1998, 5770, 1012, 1006, 1005, 14010, 2575, 1012, 1007, 1996, 2048, 3980, 3591, 2005, 9584, 5478, 2019, 7613, 1997, 2930, 14010, 2575, 1012, 4919, 1010, 2009, 2442, 2022, 4340, 3251, 2686, 2306, 1037, 2311, 4056, 2005, 2224, 1997, 1037, 8244, 1005, 2523, 2089, 2022, 12524, 2005, 1996, 3169, 1997, 1037, 3824, 2396, 2688, 1998, 3251, 1037, 6111, 2221, 2089, 7065, 11045, 1037, 12276, 2005, 2107, 2224, 2302, 4346, 2019, 4522, 4322, 2000, 1996, 8244, 1005, 2523, 1999, 1996, 6438, 1997, 1037, 11371, 1010, 9619, 1010, 2030, 22290, 2011, 1996, 2523, 1012, 2930, 14010, 2575, 3640, 1024, 1000, 7188, 1037, 2221, 2038, 3024, 1010, 5224, 1010, 2030, 3024, 1998, 5224, 2151, 2311, 1010, 3986, 2534, 1010, 3116, 2173, 1010, 3986, 2380, 1010, 2030, 8640, 2415, 2005, 1996, 2224, 2030, 5770, 1997, 2028, 2030, 2062, 8244, 1005, 8924, 1010, 27081, 2000, 2930, 14010, 2475, 1010, 1996, 9347, 1997, 2008, 4322, 1998, 2049, 9920, 2011, 1996, 8244, 1005, 2523, 17367, 1037, 12276, 1997, 2008, 3200, 2000, 1037, 2270, 3800, 1010, 1998, 1996, 2221, 2089, 2025, 7065, 11045, 1996, 12276, 1010, 2061, 2146, 2004, 1996, 8244, 1005, 2523, 2038, 2025, 14424, 1996, 3408, 1998, 3785, 1997, 1996, 12276, 1010, 4983, 2009, 2139, 16467, 2015, 7681, 4128, 2030, 4983, 1996, 8244, 1005, 3029, 2038, 2593, 9619, 2098, 2000, 1996, 3818, 2221, 2895, 2030, 2038, 4704, 2049, 2224, 1997, 1996, 4128, 1012, 1000, 1015, 1012, 12635, 1997, 4056, 2686, 1999, 6035, 8160, 1005, 4632, 2078, 1012, 1058, 1012, 13470, 1006, 4927, 1007, 17613, 10250, 1012, 4724, 2487, 1010, 1996, 4259, 2457, 2218, 2008, 1996, 12276, 1997, 1037, 2311, 2011, 1037, 2221, 2005, 1996, 7262, 2224, 1997, 1037, 8244, 1005, 2523, 2106, 2025, 23640, 1996, 6543, 13574, 2114, 1996, 2437, 1997, 9604, 1997, 2270, 5029, 1012, 2044, 1037, 12401, 4106, 1996, 2457, 5531, 1024, 1000, 2009, 4076, 2013, 2054, 2038, 2042, 2056, 2008, 1996, 2604, 1997, 22565, 1010, 3772, 1999, 16405, 2869, 26620, 1997, 2930, 24837, 2487, 2546, 1997, 1996, 2576, 3642, 1031, 2085, 2930, 14010, 2475, 1033, 1010, 2003, 26480, 2000, 14908, 2004, 1037, 3986, 2534, 1996, 2311, 2000, 2022, 2124, 1998, 4351, 2004, 3377, 2534, 1012, 7297, 1010, 2009, 2003, 26480, 2000, 5787, 1996, 2224, 1997, 1996, 2534, 2000, 1037, 3116, 2173, 2005, 8924, 1997, 8244, 2040, 2031, 2366, 1996, 2142, 2163, 3932, 8231, 1999, 2049, 5233, 1012, 2057, 1015, 2035, 2930, 7604, 2182, 2378, 2024, 2000, 1996, 2510, 1998, 8244, 3642, 1012, 1016, 1012, 5345, 1011, 22060, 2079, 2025, 1010, 2174, 1010, 4299, 2000, 2022, 5319, 2004, 3173, 2008, 1996, 6372, 2038, 2025, 1996, 2373, 2000, 4372, 8017, 3351, 1996, 9531, 1997, 1996, 2224, 1997, 1996, 2534, 2000, 2421, 2785, 5596, 4411, 2030, 2000, 2330, 2009, 2000, 1996, 2270, 2012, 2312, 2065, 2925, 4654, 29206, 9243, 5769, 2008, 1037, 7289, 2224, 1997, 1996, 2534, 2052, 11598, 2049, 6179, 2791, 1998, 2488, 4942, 8043, 3726, 1996, 2270, 3791, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 1052, 1012, 17422, 1012, 1007, 2416, 2086, 2101, 1999, 8370, 3051, 3409, 2053, 1012, 9645, 1058, 1012, 2604, 1997, 22565, 1006, 4612, 1007, 5818, 10250, 1012, 10439, 1012, 5388, 2629, 1010, 1996, 2457, 1997, 5574, 4541, 1996, 13470, 3247, 2004, 4076, 1024, 1000, 1999, 6852, 1997, 1996, 9964, 2545, 2009, 2003, 5275, 2008, 1996, 2553, 1997, 6035, 8160, 1005, 2523, 1997, 3050, 3349, 1058, 1012, 13470, 1010, 17613, 10250, 1012, 4724, 2487, 1010, 4324, 1998, 4748, 9103, 11818, 2015, 2008, 1996, 2604, 1997, 22565, 1010, 2030, 1996, 2837, 2030, 12731, 16033, 11692, 2872, 1999, 3715, 1997, 2107, 2311, 14882, 2053, 3691, 2000, 9146, 1996, 2224, 21739, 2011, 2151, 2060, 2084, 1037, 8003, 2523, 1012, 2096, 2045, 2003, 2653, 1999, 1996, 5448, 1999, 2008, 2553, 2029, 2003, 2330, 2000, 1996, 2810, 2008, 1996, 3166, 1997, 1996, 5448, 21474, 1996, 2801, 2008, 2107, 3121, 2323, 7919, 2022, 3132, 2000, 1996, 7262, 2224, 1997, 2107, 4411, 1010, 1998, 1996, 2553, 2515, 2907, 2008, 1996, 2604, 1997, 22565, 2089, 14908, 1037, 2311, 2104, 1996, 2552, 2029, 2003, 7422, 7580, 2000, 1996, 2224, 1997, 2107, 4411, 1010, 1996, 2553, 2515, 2025, 2175, 2000, 1996, 6698, 27481, 2098, 2005, 2011, 1996, 9964, 2545, 1012, 2009, 2003, 2000, 2022, 5159, 2036, 2008, 1996, 2553, 3952, 2001, 2241, 2588, 1037, 5813, 1997, 1996, 2604, 1997, 22565, 1997, 1996, 2221, 1997, 3050, 3349, 1010, 2029, 9675, 2008, 1996, 2311, 2000, 2022, 7019, 2323, 2022, 7580, 2109, 2004, 1037, 3116, 2173, 2005, 14314, 1010, 25312, 16451, 2389, 1998, 25786, 8924, 1036, 3005, 5779, 4618, 2022, 3605, 2069, 1997, 8244, 1010, 1005, 4385, 1012, 1000, 2096, 2057, 2024, 1997, 1996, 5448, 2008, 2104, 1996, 2930, 1997, 1996, 2576, 3642, 3166, 6026, 1996, 2810, 1997, 3986, 3121, 1010, 7923, 1997, 22565, 10295, 1996, 3691, 1998, 2373, 2000, 5787, 1996, 2224, 21739, 1998, 1997, 2296, 2282, 2045, 2378, 1010, 7580, 2000, 8244, 1010, 2009, 2515, 2025, 3582, 2008, 1996, 2653, 2323, 2022, 2061, 11866, 9530, 3367, 28551, 2004, 2000, 4652, 1996, 5043, 2389, 2224, 21739, 2030, 1996, 5043, 2389, 2224, 1997, 1996, 4734, 2045, 2378, 1010, 2107, 2004, 1996, 2364, 11448, 1010, 1999, 2107, 1037, 5450, 2004, 2025, 2000, 15115, 2007, 1996, 2364, 5682, 2005, 2029, 1996, 2311, 2038, 2042, 7019, 1010, 1998, 2012, 2335, 2043, 2107, 4734, 2052, 4728, 2022, 10030, 1012, 2096, 1996, 2930, 1997, 1996, 3642, 3166, 10057, 1996, 2810, 1997, 2107, 3121, 1010, 1999, 1996, 3267, 1997, 2477, 1998, 1999, 1996, 6623, 2607, 1997, 2824, 8924, 1997, 8244, 1997, 5233, 2008, 2024, 2627, 2097, 13236, 2000, 2022, 1012, 2023, 2003, 14099, 2135, 12711, 2000, 3655, 2053, 3469, 2084, 1996, 2237, 1997, 8370, 3051, 1998, 2009, 2052, 2022, 4755, 1996, 2801, 2582, 2084, 2057, 2228, 1996, 2653, 1997, 1996, 2552, 5942, 2000, 2907, 2008, 2043, 1996, 8003, 8924, 3615, 2000, 2031, 7024, 2000, 2022, 1010, 1996, 2311, 2442, 3961, 10030, 2030, 3233, 2004, 2019, 4064, 6104, 1012, 1996, 12087, 1999, 2023, 2553, 2003, 2856, 3391, 2000, 1996, 2224, 7936, 1997, 1996, 11448, 1010, 2021, 2013, 1996, 8866, 2077, 2149, 2009, 2003, 6835, 2008, 1996, 11448, 2383, 1037, 10747, 3977, 1997, 14840, 2003, 2881, 2005, 2224, 2069, 2006, 2569, 6642, 1010, 1998, 2104, 2107, 6214, 2057, 2156, 2053, 3114, 2339, 1996, 2604, 1997, 22565, 2030, 1996, 2837, 2872, 2011, 2009, 1999, 2491, 1997, 1996, 2311, 1010, 2323, 2025, 3499, 1996, 5043, 2389, 2224, 1997, 1996, 11448, 2005, 5682, 2025, 20316, 2007, 1996, 5200, 2005, 2029, 1996, 2311, 2001, 7019, 1010, 2030, 2029, 2079, 2025, 27885, 3367, 6820, 6593, 2030, 15115, 2007, 1996, 2224, 1997, 1996, 2311, 2011, 1996, 2367, 8003, 4411, 1010, 2593, 2489, 1997, 3715, 2030, 2005, 1037, 3090, 9430, 1010, 1998, 2947, 4681, 1999, 13366, 9447, 2075, 1996, 11727, 1997, 8498, 1996, 2311, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 4903, 1012, 5354, 2487, 1011, 5354, 2475, 1012, 1007, 1017, 1012, 5345, 1011, 22060, 2006, 3365, 6642, 2057, 2031, 2035, 13936, 2000, 1996, 3277, 1997, 1996, 5043, 2389, 2224, 1997, 4056, 4128, 1012, 1999, 1019, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 14168, 1006, 3386, 1007, 1010, 2005, 2742, 1010, 2057, 5531, 2008, 1037, 2604, 1997, 22565, 2089, 3499, 1996, 2224, 1997, 1037, 8244, 1005, 3986, 2534, 2011, 1037, 2512, 1011, 8244, 3029, 1010, 2073, 2107, 2224, 2003, 2025, 4919, 7775, 1998, 2052, 2025, 15115, 2007, 2049, 2224, 2011, 8244, 1012, 6660, 1010, 1999, 2410, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 5179, 1006, 4085, 1007, 1010, 27818, 1996, 2224, 1997, 2107, 1037, 4322, 1999, 4461, 2221, 1010, 2057, 3090, 1999, 2112, 1024, 1000, 1012, 1012, 1012, 2057, 2228, 1010, 3568, 1010, 2008, 1996, 2810, 2323, 2022, 2008, 2073, 1037, 8244, 1005, 2523, 2003, 2445, 1996, 2224, 1997, 1996, 2311, 2005, 1037, 3180, 3116, 2173, 2030, 8640, 2415, 1010, 2107, 3029, 2442, 2022, 3605, 9578, 1997, 8244, 1010, 2021, 2008, 2023, 2323, 2025, 23469, 1996, 22565, 2013, 24523, 1996, 2224, 1997, 2107, 3121, 2030, 3033, 21739, 2005, 2060, 5682, 5043, 2389, 2000, 1996, 2364, 3800, 2011, 1996, 2110, 1998, 2976, 6867, 2065, 1996, 2604, 1010, 1999, 1996, 6912, 1997, 1037, 2614, 19258, 1010, 16463, 2008, 2107, 2224, 2097, 2025, 15115, 2007, 1996, 2364, 2224, 2030, 3800, 2005, 2029, 2107, 3121, 2020, 3833, 1012, 1000, 1006, 8909, 1012, 1010, 2012, 1052, 1012, 3438, 1025, 2156, 2036, 2385, 23092, 1012, 10250, 1012, 2012, 3723, 1012, 8991, 1012, 4185, 1006, 3925 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2065, 2023, 5448, 7127, 2008, 2009, 2003, 1523, 2005, 4772, 1010, 1524, 2009, 2003, 3395, 2000, 13921, 2127, 2345, 4772, 1999, 1996, 4174, 9023, 4311, 1012, 2110, 1997, 4174, 2457, 1997, 9023, 2585, 11175, 1010, 19106, 2254, 2403, 1010, 12609, 20579, 1011, 10439, 24178, 1010, 1058, 2053, 1012, 23785, 2581, 16048, 9182, 4984, 2457, 5083, 13859, 1010, 4297, 1010, 29215, 2053, 1012, 2297, 1011, 14748, 2575, 2581, 2683, 1011, 1039, 2480, 13474, 1011, 10439, 14774, 2063, 1012, 2077, 1024, 5673, 26992, 1010, 1052, 1012, 1046, 1012, 1010, 1998, 13975, 1998, 5553, 5054, 1010, 29017, 1012, 2566, 12731, 25557, 1012, 1999, 2023, 3688, 14000, 2241, 3167, 4544, 2895, 1010, 20579, 9023, 2004, 1997, 2157, 1996, 2344, 15080, 12654, 22137, 1999, 5684, 1997, 13474, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 2057, 21358, 27972, 1012, 1045, 1012, 7882, 25854, 1998, 24508, 4281, 2023, 2003, 1996, 2353, 5574, 1999, 2023, 3043, 1012, 2156, 11175, 1058, 5083, 13859, 1010, 4297, 1012, 1006, 11175, 1045, 1007, 1010, 19106, 2566, 12731, 25557, 5448, 1997, 1996, 2457, 1997, 9023, 1010, 3843, 2255, 2423, 1010, 2355, 1006, 8946, 3388, 2053, 1012, 25256, 2692, 22025, 1007, 1025, 11175, 1058, 5083, 13859, 1010, 4297, 1012, 1006, 11175, 2462, 1007, 1010, 19106, 2566, 12731, 25557, 5448, 1997, 1996, 2457, 1997, 9023, 1010, 3843, 2233, 2410, 1010, 2760, 1006, 8946, 3388, 2053, 1012, 27954, 25746, 2575, 1007, 1012, 1999, 20579, 1521, 1055, 2034, 5574, 1010, 2023, 2457, 22539, 2008, 1010, 2023, 2895, 18653, 2013, 20579, 1521, 1055, 4366, 2008, 2002, 4265, 5729, 6441, 2043, 2002, 13749, 17944, 9078, 15464, 5740, 8458, 2368, 15345, 7609, 2011, 13474, 1012, 20579, 1010, 1999, 4013, 2566, 1010, 6406, 2010, 12087, 2006, 2285, 2570, 1010, 2297, 1010, 23294, 4447, 1997, 4945, 2000, 11582, 1010, 24156, 28847, 1010, 1998, 5814, 21262, 1025, 13474, 4660, 2006, 2254, 2756, 1010, 2325, 1012, 2006, 2233, 2676, 1010, 2325, 1010, 20579, 6406, 1037, 4367, 2000, 27950, 2010, 12087, 1010, 1999, 2029, 2002, 2333, 2000, 2110, 2714, 4447, 4606, 1037, 12510, 1997, 1996, 13339, 10943, 2100, 1997, 3006, 8010, 1012, 1031, 11175, 1045, 1010, 4895, 14289, 2497, 6728, 2012, 1016, 1012, 1033, 1999, 2010, 2034, 5574, 1010, 20579, 12068, 1996, 3979, 2457, 1521, 1055, 15322, 1997, 2010, 2553, 2005, 4945, 2000, 3477, 1037, 1002, 3156, 2624, 7542, 1010, 1998, 2023, 2457, 11674, 1998, 2128, 2386, 5732, 1010, 16228, 2008, 1996, 1002, 3156, 2624, 7542, 2001, 24156, 1010, 1998, 1996, 15322, 2001, 2019, 14710, 19519, 2005, 4945, 2000, 3477, 1012, 11175, 1045, 1010, 4895, 14289, 2497, 6728, 2012, 1018, 1012, 1996, 2553, 2001, 2059, 2128, 2386, 5732, 2005, 2582, 8931, 8335, 2007, 2008, 5448, 1012, 8909, 1012, 1011, 1015, 1011, 2044, 2108, 2128, 2386, 5732, 2000, 1996, 3979, 2457, 1010, 13474, 1523, 2333, 1012, 1012, 1012, 2000, 4012, 11880, 20579, 2000, 3696, 20104, 3596, 2005, 2713, 1997, 2010, 2966, 2636, 1012, 1524, 11175, 2462, 1010, 4895, 14289, 2497, 6728, 2012, 1015, 1012, 1523, 2058, 20579, 1521, 1055, 7522, 1011, 5776, 14293, 17304, 1010, 1996, 3979, 2457, 4379, 13474, 1521, 1055, 4367, 1031, 1012, 1033, 1524, 8909, 1012, 2174, 1010, 20579, 4188, 2000, 3696, 2151, 20104, 3596, 2005, 2713, 1997, 2010, 2966, 2636, 1012, 1996, 3979, 2457, 2947, 1523, 3133, 2019, 2344, 28913, 20579, 1521, 1055, 2553, 2302, 18024, 1012, 1524, 8909, 1012, 20579, 1521, 1055, 2117, 5574, 2000, 2023, 2553, 2628, 1012, 2153, 1010, 2023, 2457, 11674, 1998, 2128, 2386, 5732, 2005, 2582, 8931, 1012, 2023, 2457, 3264, 2008, 1523, 13474, 4912, 2966, 2636, 2013, 20579, 1521, 1055, 12318, 11572, 2000, 5646, 3251, 20579, 2001, 2635, 2151, 2060, 14667, 2012, 1996, 2051, 1997, 1996, 6884, 4544, 2008, 2089, 2031, 3303, 2217, 3896, 2714, 2000, 1996, 3924, 4453, 1999, 2010, 12087, 1012, 1524, 8909, 1012, 2012, 1016, 1012, 13474, 4912, 2023, 2592, 2104, 11338, 2099, 1016, 1012, 26257, 1006, 1039, 1007, 1006, 1015, 1007, 1998, 11338, 2099, 1016, 1012, 26257, 1006, 1037, 1007, 1012, 2174, 1010, 20579, 1523, 13647, 2008, 1996, 2966, 2636, 4912, 2011, 13474, 2020, 21598, 1010, 1998, 3568, 2025, 7523, 3085, 1012, 11338, 2099, 1016, 1012, 26257, 1006, 1039, 1007, 1006, 1015, 1007, 1006, 1038, 1007, 1025, 11338, 2099, 1016, 1012, 26257, 1006, 1037, 1007, 1006, 1015, 1007, 1006, 1038, 1007, 1012, 4919, 1010, 20579, 13647, 1996, 7522, 1011, 5776, 14293, 1010, 2029, 2038, 2049, 6147, 1999, 11338, 2140, 5174, 1012, 17405, 2581, 1012, 1524, 8909, 1012, 2012, 1016, 1011, 1017, 1012, 2023, 2457, 11178, 5531, 2008, 20579, 2001, 4709, 2000, 20865, 1996, 7522, 1011, 5776, 14293, 1012, 2023, 2457, 2036, 4541, 2008, 2104, 11338, 2140, 5174, 1012, 17405, 2581, 1010, 9339, 2917, 1999, 7882, 2112, 1024, 2065, 1996, 5776, 7545, 2019, 2895, 2114, 2151, 13474, 2000, 8980, 2005, 2151, 3167, 6441, 1010, 2030, 2005, 2151, 15451, 18098, 28804, 2063, 1010, 1998, 1996, 5776, 7137, 1037, 7522, 2004, 1037, 7409, 1999, 1996, 5776, 1521, 1055, 2219, 6852, 2040, 2038, 5845, 1996, 5776, 2005, 1996, 4544, 2030, 2005, 2151, 4295, 2030, 4650, 2005, 2029, 1996, 15451, 18098, 28804, 2063, 2003, 6884, 1010, 1996, 5776, 4618, 2022, 2641, 2000, 2031, 16301, 1996, 14293, 3024, 1999, 2023, 2930, 2004, 2000, 2178, 7522, 2040, 2038, 5845, 1996, 5776, 2005, 1996, 6441, 1010, 4295, 1010, 2030, 4650, 1012, 2023, 9347, 2003, 2170, 1996, 5776, 1011, 5507, 13340, 4263, 6453, 1012, 2455, 20806, 2271, 1058, 12803, 8411, 6072, 1010, 3429, 2509, 23025, 2232, 21064, 1010, 4700, 2549, 1025, 4583, 2575, 22064, 2475, 2094, 4700, 2475, 1006, 2727, 1007, 1012, 2174, 1010, 2023, 2457, 5531, 2008, 1996, 5776, 1011, 5507, 13340, 4263, 6453, 2106, 2025, 6611, 1999, 2023, 2553, 1010, 2073, 1024, 20579, 2003, 1996, 5776, 1998, 2038, 2716, 2019, 2895, 2005, 3167, 4544, 2114, 13474, 1012, 2174, 1010, 2498, 1999, 1996, 2501, 7127, 2008, 20579, 2038, 2550, 2010, 2219, 12318, 7522, 2030, 1523, 2550, 2178, 12318, 7522, 2004, 1037, 7409, 1524, 2029, 2052, 9495, 1996, 4646, 1997, 1996, 5776, 1011, 5507, 13340, 4263, 6453, 1012, 1999, 2755, 1010, 1996, 2069, 7409, 20579, 2038, 4453, 2012, 2023, 2391, 1999, 1996, 15382, 2003, 16964, 1040, 1012, 2482, 5420, 1010, 2040, 2163, 1999, 2014, 21358, 8873, 29045, 4183, 2008, 2016, 2973, 2007, 20579, 1998, 5159, 2032, 13749, 4355, 1996, 15345, 1012, 2348, 13474, 9251, 2008, 20579, 18754, 2000, 11160, 2006, 2010, 12318, 7522, 1010, 20579, 1521, 1055, 5456, 10960, 2079, 2025, 2490, 2008, 23617, 1012, 11914, 1010, 2138, 20579, 2038, 13647, 1037, 9398, 14293, 2000, 2010, 2966, 2636, 1010, 1996, 3979, 2457, 16999, 2049, 19258, 2011, 13063, 20579, 2000, 3696, 20104, 3596, 2061, 2008, 13474, 2071, 6855, 2216, 2636, 1012, 1031, 11175, 2462, 1010, 4895, 14289, 2497, 6728, 2012, 1017, 1011, 1018, 1012, 1033, 2153, 1010, 2023, 2553, 2513, 2000, 1996, 3979, 2457, 1010, 2073, 1996, 4243, 2506, 2000, 8526, 1999, 2517, 1998, 8700, 5456, 1012, 1011, 1016, 1011, 2776, 1010, 13474, 2333, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 13474, 4821, 2333, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 2006, 2251, 2676, 1010, 2760, 1012, 13474, 4541, 2008, 2009, 22027, 1998, 14555, 2058, 1011, 1996, 1011, 4675, 1006, 27178, 2278, 1007, 20992, 2107, 2004, 3336, 2004, 8197, 6657, 1998, 9078, 15464, 5740, 8458, 2368, 1010, 1998, 2059, 16062, 2015, 2122, 20992, 2000, 17264, 2869, 1012, 1996, 20992, 2009, 22027, 2024, 2196, 2853, 2000, 1996, 2270, 1010, 4496, 2024, 2027, 21972, 2005, 5096, 2000, 1996, 2270, 1012, 2738, 1010, 2027, 2024, 4156, 2011, 8323, 1010, 8329, 5014, 1010, 1998, 6887, 27292, 20499, 1012, 13474, 4914, 2008, 1999, 2238, 2286, 1010, 2009, 3843, 1037, 9053, 9131, 2005, 2049, 3336, 2004, 8197, 6657, 2138, 2028, 6887, 27292, 6305, 2923, 1999, 9763, 2479, 4384, 2008, 2028, 5835, 1997, 3336, 2004, 8197, 6657, 2246, 1523, 29295, 2367, 2084, 1031, 2009, 1033, 2323, 1010, 1524, 1998, 2941, 4838, 9078, 15464, 5740, 8458, 2368, 2612, 1997, 3336, 2004, 8197, 6657, 1012, 2085, 1010, 13474, 5275, 1010, 20579, 3555, 2008, 2002, 13749, 17944, 9078, 15464, 5740, 8458, 2368, 2612, 1997, 3336, 2004, 8197, 6657, 2044, 8110, 20422, 2015, 2012, 1037, 26226, 2015, 13882, 1999, 7876, 2669, 1010, 4174, 1012, 2174, 1010, 20579, 4914, 2012, 2010, 19806, 2008, 2002, 2053, 2936, 2038, 1996, 5835, 2030, 1996, 15345, 2008, 2002, 13749, 17944, 2138, 2002, 3908, 2068, 1012, 9308, 1010, 2348, 20579, 8509, 2010, 3558, 4650, 2046, 6704, 1010, 20579, 4188, 2000, 26056, 2010, 2966, 2636, 3141, 2000, 2010, 4447, 1010, 1998, 2036, 4188, 2000, 3696, 20104, 2015, 2005, 1996, 2713, 1997, 2966, 2636, 1010, 8951, 9394, 1012, 2348, 1523, 20579, 2106, 3073, 3155, 3263, 6721, 1010, 3538, 4168, 9453, 2094, 1010, 1998, 12958, 2636, 2013, 2536, 2966, 11670, 7478, 2013, 2384, 2083, 2286, 1010, 2087, 1012, 1012, 1012, 2024, 2192, 15773, 1998, 5665, 13910, 7028, 1010, 2302, 2151, 22616, 2013, 1037, 12731, 16033, 11692, 1997, 2636, 2004, 2000, 1996, 10640, 2030, 3143, 2791, 1997, 1996, 2636, 1012, 1524, 2947, 1010, 13474, 5275, 1010, 20579, 2003, 4039, 2000, 3113, 2010, 10859, 1998, 5323, 3674, 6827, 3787, 1997, 2010, 4366, 1024, 14000, 1010, 12394, 1010, 1998, 6187, 10383, 3508, 1012, 11914, 1010, 13474, 5275, 2009, 2001, 4709, 2000, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 1996, 3979, 2457, 3530, 2007, 13474, 1010, 16228, 2006, 1996, 2501, 2008, 20579, 2001, 4039, 2000, 2556, 2151, 3350, 1997, 6187, 10383, 3508, 2030, 12394, 1010, 1998, 3568, 13474, 2001, 4709, 2000, 12654, 22137, 1012, 2019, 2344, 15080, 13474, 1521, 1055, 4367, 2005, 12654, 22137, 2005, 1996, 4436, 3090, 2006, 1996, 2501, 2001, 3133, 2006, 2244, 2260, 1010, 2760, 1012, 2023, 5574, 2628, 1012, 2462, 1012, 3115, 1997, 3319, 13474, 2333, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1012, 2023, 2457, 4391, 1037, 3979, 2457, 1521, 1055, 9128, 2006, 1037, 4367, 2005, 12654, 22137, 2139, 24576, 1012, 11821, 3636, 25805, 4632, 10085, 1010, 1035, 1035, 1035, 23025, 2232, 10439, 2012, 1035, 1035, 1035, 1025, 7540, 6728, 2012, 2410, 1012, 1523, 12654, 22137, 2003, 5372, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 2065, 1996, 21358, 8873, 29045, 12762, 1998, 2060, 4516, 3350, 2265, 2008, 2045, 2003, 2053, 10218, 3277, 7175, 2151, 3430, 2755, 1998, 2008, 1996, 3048, 2283, 2003, 4709, 2000, 8689, 2004, 1037, 3043, 1997, 2375, 1012, 1524, 8909, 1012, 1010, 27394, 9350, 13006, 1058, 2103, 1997, 17083, 11627, 1010, 24622, 23025, 2232, 10439, 6421, 2629, 1010, 6356, 2575, 1025, 5594, 2620, 22064, 2475, 2094, 12904, 1006, 2297, 1007, 1012, 2588, 2108, 3591, 2007, 1037, 4367, 2005, 12654, 22137, 2104, 11338, 2099, 1016, 1012, 12904, 1006, 1039, 1007, 1006, 2184, 1007, 1010, 1037, 3979, 2457, 1521, 1055, 1523, 4708, 2003, 2000, 3319, 1996, 2501, 3350, 1010, 1998, 2035, 9608, 28937, 2015, 2045, 19699, 5358, 1010, 1998, 5630, 3251, 1037, 10218, 3277, 1997, 2151, 3430, 2755, 6526, 2000, 10943, 1037, 3979, 1012, 1524, 17451, 1058, 2675, 1040, 2522, 1010, 4008, 2629, 23025, 2232, 16710, 1010, 17832, 1025, 4868, 2575, 22064, 2475, 2094, 28245, 1006, 2807, 1007, 1006, 3329, 22074, 16647, 1007, 1012, 3523, 1012, 4106, 1999, 2023, 2553, 1010, 20579, 6406, 1037, 3167, 4544, 4366, 1010, 15685, 1999, 3688, 14000, 1010, 2114, 13474, 1010, 1996, 7751, 1997, 2536, 27178, 2278, 20992, 1010, 2164, 3336, 2004, 8197, 6657, 1998, 9078, 15464, 5740, 8458, 2368, 1012, 20579, 4447, 2008, 2002, 3561, 1037, 20422, 2005, 3336, 2004, 8197, 6657, 2012, 2010, 2334, 5850, 19277, 1010, 1998, 2001, 2445, 1037, 4031, 7609, 2011, 13474, 1998, 12599, 2004, 3336, 2004, 8197, 6657, 1012, 1011, 1017, 1011, 2174, 1010, 2612, 1997, 3336, 2004, 8197, 6657, 1999, 1996, 20422, 5835, 1010, 2009, 2001, 2941, 9078, 15464, 5740, 8458, 2368, 1010, 2029, 2588, 13749, 4355, 3258, 1010, 3303, 20579, 2000, 9015, 1523, 6724, 1010, 18972, 1010, 6034, 16342, 1010, 22939, 12171, 20192, 1010, 3255, 1999, 4308, 1006, 2926, 3356, 2157, 4664, 1007, 1010, 12052, 12251, 1010, 1998, 5122, 14708, 2015, 1012, 1524, 20579, 3555, 2008, 13474, 3478, 2000, 11582, 20579, 1997, 2019, 4895, 16416, 3385, 8231, 4795, 4650, 2073, 9078, 15464, 5740, 8458, 2368, 2001, 12599, 1998, 2853, 2004, 3336, 2004, 8197, 6657, 1010, 1998, 2008, 13749, 4355, 3258, 1997, 9078, 15464, 5740, 8458, 2368, 3303, 2010, 4544, 1012, 1996, 3979, 2457, 5531, 2008, 20579, 2001, 4039, 2000, 5323, 6187, 10383, 3508, 2030, 12394, 8800, 2000, 2010, 4366, 1010, 1998, 4379, 12654, 22137, 1999, 5684, 1997, 13474, 1012, 2057, 5993, 1012, 2004, 2256, 4259, 2457, 20742, 1999, 17451, 1010 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 8417, 6335, 3148, 1045, 1012, 6335, 25811, 1998, 15745, 17190, 1040, 1012, 24471, 23722, 12761, 3921, 2000, 3795, 2470, 1998, 2495, 1024, 9373, 1998, 4118, 10091, 3314, 2434, 3793, 1998, 7604, 1996, 3720, 7534, 2019, 12761, 3921, 2000, 3795, 6553, 2015, 2029, 2097, 2817, 3795, 6194, 1998, 3001, 1010, 3952, 1010, 24370, 1998, 3795, 3471, 2004, 12362, 2000, 2037, 2458, 1998, 7189, 2000, 1998, 3265, 1998, 2554, 1012, 1996, 2364, 3395, 1997, 12761, 3795, 6553, 2015, 2003, 3795, 2458, 2004, 2019, 6622, 1997, 3795, 6194, 1998, 3001, 1012, 1996, 4145, 1997, 12761, 3795, 6553, 2015, 2003, 2641, 2306, 1996, 6123, 1997, 1996, 5415, 1006, 3795, 1007, 6622, 2964, 1998, 2825, 6653, 2000, 1996, 9084, 2458, 1010, 1998, 2036, 4195, 1997, 2536, 5711, 1997, 2053, 25444, 1012, 2495, 2003, 3497, 2000, 13595, 21865, 3303, 2011, 1996, 12761, 3431, 1997, 1996, 2878, 10585, 1998, 8290, 2090, 2554, 1998, 3267, 1012, 2045, 2097, 3711, 2019, 12761, 2846, 1997, 3795, 4275, 1997, 2495, 6194, 1998, 3001, 1010, 3225, 2013, 1996, 2747, 4493, 6388, 7047, 1997, 3795, 2495, 1010, 2059, 2495, 2005, 1996, 3795, 2832, 1997, 9084, 2458, 1010, 1998, 2036, 4195, 1997, 2119, 2053, 2891, 27921, 2594, 2495, 1010, 1998, 1520, 3795, 1998, 12761, 1521, 3596, 1997, 2495, 1012, 1996, 2556, 3720, 15841, 2070, 2236, 3314, 4198, 2007, 1996, 6210, 1997, 3795, 2913, 1010, 2049, 3395, 1010, 3570, 1010, 18444, 1010, 2364, 7826, 1998, 3471, 1997, 2023, 2492, 1012, 1996, 3166, 1005, 1055, 2597, 7175, 1037, 2193, 1997, 8050, 3314, 2003, 19788, 1010, 8419, 1024, 2054, 2003, 3795, 2913, 1025, 3251, 2023, 3589, 2003, 1037, 2671, 1025, 2054, 2003, 2049, 3570, 1025, 2054, 2173, 3795, 2913, 2907, 1999, 1996, 2291, 1997, 2715, 4163, 1025, 3251, 3795, 2913, 7141, 2000, 2576, 4163, 1010, 4163, 2055, 1996, 2248, 4262, 2030, 2000, 9569, 12736, 1012, 1996, 2364, 3277, 1997, 2023, 3720, 5936, 1996, 2206, 3277, 1024, 2129, 1996, 4676, 1999, 3522, 2086, 2038, 2468, 1996, 2350, 3395, 1997, 1996, 2088, 4331, 1998, 2248, 4262, 1010, 2025, 2560, 2138, 1996, 4676, 2038, 2596, 1999, 1996, 2415, 1997, 2070, 4795, 2088, 3795, 9755, 1012, 2009, 2003, 4928, 2008, 2715, 3795, 2381, 2029, 2764, 1999, 1996, 6123, 1997, 4487, 13102, 23056, 6594, 2006, 24370, 3957, 2149, 1996, 3382, 2000, 3305, 2006, 1996, 2028, 2192, 2129, 1996, 3395, 1997, 4676, 2038, 2042, 6439, 1999, 1996, 2088, 4331, 2913, 1010, 1998, 2006, 1996, 2060, 2129, 2096, 5702, 4676, 1999, 3327, 2049, 24846, 2433, 1996, 2248, 4262, 2031, 2036, 2042, 15486, 1999, 3193, 1997, 2049, 5377, 1998, 15884, 5142, 1997, 10644, 3989, 1012, 2061, 2119, 3033, 1997, 1996, 8522, 8568, 2169, 2060, 1999, 2116, 17475, 1012, 2009, 2003, 8281, 2005, 1996, 3252, 1997, 3834, 12736, 1010, 1999, 3327, 1999, 1996, 2530, 2088, 1012, 2536, 7826, 1997, 2529, 4023, 2031, 2468, 2062, 4876, 4198, 1999, 1996, 2715, 3795, 2088, 1012, 2009, 2003, 2092, 3491, 2011, 1996, 3522, 2088, 5325, 2029, 2383, 2318, 1999, 1996, 3361, 1998, 3171, 19885, 3659, 2000, 2591, 1010, 2576, 1998, 2060, 19885, 1997, 2270, 2166, 2200, 2855, 1010, 2383, 5360, 2025, 2069, 3430, 1010, 2021, 2036, 6259, 10100, 1997, 2270, 2166, 1024, 3226, 1010, 2671, 1010, 2495, 1012, 2000, 5326, 1037, 2488, 4824, 1997, 3375, 3267, 1997, 1996, 3471, 1997, 2023, 3395, 1996, 8368, 2604, 1997, 1996, 3485, 1520, 2287, 1997, 24370, 1521, 12068, 2000, 17824, 8519, 2000, 4671, 2037, 5448, 2006, 2023, 2391, 1012, 2023, 3259, 2097, 3579, 2006, 1996, 3937, 2591, 26917, 1010, 2349, 2000, 1996, 2784, 1010, 2411, 17092, 4736, 2090, 16498, 1010, 1996, 2364, 5013, 1997, 1996, 2364, 2112, 1997, 1996, 2088, 1010, 2029, 2064, 2022, 3421, 2004, 1037, 2061, 1011, 2170, 3171, 3796, 4974, 1998, 2019, 6383, 2433, 1997, 7025, 1010, 2029, 1045, 2097, 2655, 1520, 5499, 8050, 2964, 1521, 11243, 1996, 8330, 2744, 1997, 1520, 3412, 8050, 2964, 1521, 1012, 1045, 2903, 2008, 2023, 26917, 1010, 2029, 3463, 2013, 4895, 7959, 14795, 4935, 1997, 6233, 3795, 3550, 3171, 16498, 1010, 3658, 2012, 1996, 7117, 1997, 1996, 1023, 1013, 2340, 2824, 1012, 9230, 2038, 2467, 2042, 1996, 2087, 2590, 6922, 1997, 3171, 2458, 1998, 2591, 5082, 1999, 2116, 3032, 1012, 4450, 9230, 4150, 2028, 1997, 1996, 2350, 4219, 1997, 1996, 3164, 8346, 2073, 7816, 1997, 4450, 9230, 2003, 4146, 2012, 1996, 2555, 1011, 2898, 2504, 2144, 2069, 2107, 2312, 8346, 9209, 2478, 12637, 1997, 7660, 1997, 1996, 6089, 1010, 7692, 7888, 1998, 4450, 4022, 2015, 2064, 19319, 1999, 1996, 3785, 1997, 1996, 3652, 2971, 1997, 1996, 3795, 3550, 2088, 1012, 2174, 1010, 2065, 9230, 2003, 2025, 12222, 2011, 1996, 11706, 4277, 1998, 3513, 1010, 2009, 22382, 1037, 5473, 2000, 2529, 2916, 11371, 1997, 2111, 8019, 1999, 2009, 1998, 2591, 6980, 1012, 2651, 6594, 2055, 9230, 5836, 1037, 26917, 2090, 3171, 7961, 1997, 24370, 1010, 2006, 1996, 2028, 2192, 1010, 1998, 1996, 7191, 5300, 3591, 2011, 1996, 4145, 1997, 2529, 2916, 1010, 2006, 1996, 2060, 1012, 2045, 2024, 2411, 22939, 12589, 3973, 4941, 5328, 2006, 1996, 3471, 1997, 8650, 2916, 1997, 1996, 16836, 1999, 3193, 1997, 2122, 23145, 1010, 2926, 1997, 2216, 2040, 2031, 2053, 3423, 3570, 1010, 1998, 5427, 1997, 3808, 1998, 2591, 9211, 2065, 3097, 4480, 2024, 2104, 3860, 1997, 1996, 2120, 6094, 1012, 1999, 1996, 4507, 1997, 3679, 2166, 2023, 26917, 7679, 2006, 1996, 3291, 1997, 9230, 2004, 1037, 7444, 4323, 1997, 6594, 2055, 1996, 3276, 1997, 4450, 1998, 3007, 1010, 1996, 4353, 1997, 3318, 2013, 3171, 4023, 1010, 2055, 1996, 7816, 1997, 2551, 3785, 1998, 2166, 1998, 2129, 3097, 3667, 1998, 2942, 2554, 2064, 2969, 1011, 10939, 2000, 5675, 2618, 1998, 4047, 1996, 2916, 4415, 1012, 1996, 3720, 5836, 1996, 4187, 4106, 1997, 1996, 4145, 1997, 1520, 2576, 24370, 1521, 2109, 2011, 20248, 18155, 26116, 2002, 3351, 8202, 2000, 6366, 1996, 6481, 1997, 2120, 12601, 1010, 2120, 5426, 1010, 5703, 1997, 2749, 1010, 1998, 2036, 1996, 4696, 1520, 4935, 1521, 1012, 1037, 14099, 2535, 1997, 1996, 2110, 2004, 1996, 2364, 3395, 1997, 2248, 4262, 1998, 1037, 19739, 20486, 4263, 1997, 1996, 2088, 2291, 3528, 2003, 4928, 1010, 1998, 2036, 1037, 2535, 1997, 1996, 2110, 2240, 2004, 1037, 5468, 1997, 2613, 12601, 1999, 1996, 3785, 1997, 1996, 5325, 1997, 1996, 22952, 2078, 2291, 2580, 2011, 2592, 1998, 3171, 24370, 1012, 2070, 5919, 1997, 1996, 2236, 1011, 3800, 7888, 1997, 2437, 3675, 3343, 1997, 1996, 2110, 2076, 1996, 2695, 1011, 22952, 2078, 3690, 2024, 2641, 1012, 1996, 4045, 16406, 1997, 1996, 17859, 10100, 1997, 24370, 2003, 2641, 1999, 1996, 3720, 2004, 1996, 3539, 4650, 1997, 2458, 1997, 24370, 1999, 1996, 3257, 1997, 4195, 1997, 1996, 8790, 3795, 2291, 1012, 1996, 3720, 15102, 4436, 1997, 1996, 5325, 5159, 1999, 2093, 4942, 29390, 13367, 1024, 2576, 1010, 3423, 1998, 3171, 1012, 1996, 3166, 13999, 1996, 9459, 2008, 1996, 2364, 3291, 3774, 1999, 1996, 2291, 1997, 17606, 1998, 3937, 5300, 1997, 3795, 2291, 1012, 3937, 6481, 1997, 1996, 7978, 4023, 1999, 5576, 1997, 1996, 3291, 2024, 2036, 6936, 1012, 1996, 5151, 2845, 2228, 2121, 1010, 9667, 1010, 4706, 6288, 1010, 2270, 2923, 1010, 1998, 3761, 9805, 2854, 7349, 14604, 12933, 10556, 20444, 4939, 6017, 1996, 3770, 2705, 5315, 1012, 2000, 2023, 9487, 3058, 2057, 10172, 1996, 9667, 1005, 1055, 3720, 2517, 1999, 1996, 2197, 2301, 1010, 2021, 2029, 2038, 2025, 2439, 2049, 7784, 13367, 1012, 1996, 3086, 2003, 3825, 2000, 2529, 2916, 2004, 2000, 1037, 2825, 10465, 2090, 8578, 2306, 1996, 7789, 7982, 1999, 2023, 3720, 1012, 1996, 3166, 11014, 2000, 9002, 2000, 7789, 27363, 1997, 13249, 1997, 24784, 1998, 17193, 2005, 1996, 3971, 2000, 9462, 16625, 1997, 2529, 2916, 2006, 2060, 8578, 1012, 2009, 2003, 3491, 2008, 1996, 4118, 1997, 1996, 2892, 1011, 3451, 21358, 27972, 2075, 1997, 2529, 2916, 2302, 3327, 5919, 1997, 3584, 8578, 1998, 24784, 5320, 1996, 5012, 2000, 21171, 1998, 6905, 2426, 2111, 1012, 1996, 2034, 2112, 1997, 1996, 3720, 2003, 7422, 2000, 1037, 2460, 3319, 1997, 1996, 2846, 1997, 3471, 1997, 1996, 6594, 1998, 7982, 1010, 1996, 2117, 2028, 9144, 2007, 2892, 1011, 3451, 1998, 6970, 6895, 21661, 9276, 3267, 1997, 2023, 6594, 1010, 1999, 1996, 2353, 2028, 2529, 2916, 2024, 2641, 2006, 1996, 3978, 1997, 1996, 2682, 1011, 3855, 8866, 1010, 1998, 1996, 2197, 1010, 2345, 2112, 5936, 3423, 5491, 2006, 2529, 2916, 1012, 1996, 4784, 1997, 2142, 2885, 6003, 2146, 3283, 1010, 2012, 1996, 2927, 1997, 1996, 5767, 13013, 13098, 1012, 2101, 2116, 5151, 24762, 1010, 6529, 1010, 17586, 1010, 8801, 1010, 1998, 4898, 2764, 2068, 1999, 2536, 7826, 1012, 1999, 2613, 3218, 2885, 2038, 2196, 2042, 2142, 2593, 5636, 3973, 1010, 2030, 10317, 1012, 1996, 4195, 1997, 1037, 2691, 2647, 4547, 2686, 15980, 2025, 16905, 1010, 2021, 12016, 1010, 8203, 27226, 1997, 2120, 2495, 3001, 1998, 4547, 8578, 2007, 8347, 1997, 1996, 2120, 4767, 1998, 10585, 25995, 1012, 1996, 2535, 1997, 3607, 1999, 2023, 2832, 2003, 2200, 3278, 1012, 2108, 1996, 2922, 23399, 2406, 3607, 2038, 3278, 20248, 18155, 26116, 1998, 20248, 1011, 3171, 12637, 1998, 7863, 2135, 2323, 4503, 1037, 4800, 1011, 9207, 3097, 3343, 1012, 1999, 1996, 3720, 1996, 3166, 17908, 2015, 2715, 2845, 3343, 1999, 1996, 16512, 1012, 2009, 2003, 3491, 2008, 2651, 5499, 9452, 4411, 2024, 1996, 2364, 2576, 2486, 3554, 2114, 3607, 1012, 2027, 2224, 2367, 4219, 1024, 3095, 2075, 1010, 3361, 1010, 17859, 1998, 2576, 1012, 1996, 3360, 1997, 1996, 23368, 5152, 24822, 2003, 1996, 2364, 2591, 2177, 2029, 2003, 1997, 3037, 2005, 1996, 9452, 6125, 1999, 3408, 1997, 3095, 2075, 1012, 7025, 2964, 2038, 2049, 2219, 13165, 20852, 2009, 2013, 19802, 25879, 2964, 2007, 2367, 12285, 10595, 1010, 4655, 1997, 4353, 1010, 6818, 1998, 25353, 8737, 25457, 6774, 1012, 3343, 2018, 2036, 2000, 2022, 2904, 4414, 1012, 2076, 1037, 8724, 1999, 1996, 23368, 3343, 1996, 4099, 3421, 2011, 7490, 7025, 2964, 3266, 2000, 2468, 6428, 13296, 2135, 1010, 13732, 1998, 17859, 2135, 1010, 1998, 2036, 2211, 1037, 2047, 2461, 1997, 1996, 4273, 3233, 1011, 2125, 2007, 3607, 1012, 2085, 1010, 2043, 1996, 21160, 1997, 1996, 3291, 2150, 24509, 1010, 24209, 11475, 27453, 2135, 2047, 2845, 3343, 2003, 5901, 2719, 1999, 1996, 16512, 1012, 1996, 3720, 2003, 7422, 2000, 1996, 3291, 2029, 27583, 1996, 10661, 2055, 4767, 1997, 3607, 1998, 1996, 3354, 2586, 2083, 2591, 1998, 9569, 4106, 1997, 4195, 1998, 2458, 1997, 3607, 1010, 2083, 2049, 9329, 6558, 1997, 7863, 3785, 1998, 20714, 5387, 1012, 1996, 11113, 20872, 14227, 4765, 1997, 2023, 10661, 2064, 2022, 1996, 2034, 3357, 2006, 1996, 2126, 1997, 5069, 1997, 2204, 11429, 2135, 4262, 2090, 2885, 1010, 4021, 1998, 3607, 1012, 2651, 2057, 2064, 11949, 1996, 5751, 1997, 22031, 1997, 1520, 1996, 2353, 4400, 1521, 1997, 7072, 1010, 1998, 1996, 2927, 1997, 1996, 2832, 1997, 2049, 5466, 5963, 1012, 2057, 2064, 2156, 2023, 3537, 10457, 21273, 2075, 2025, 2069, 1999, 3607, 1010, 2021, 2036, 1999, 2060, 3032, 1997, 1996, 2088, 1012, 2023, 3720, 2003, 7422, 2000, 2236, 3989, 1997, 1996, 5067, 8866, 1998, 1996, 4106, 1997, 1996, 4436, 1997, 10457, 21273, 2075, 1997, 1520, 1996, 2353, 4400, 1521, 1997, 7072, 1012, 2478, 3430, 6553, 16134, 1996, 3166, 3065, 2008, 1996, 5823, 1997, 2561, 25691, 3001, 2124, 1999, 2381, 2004, 14649, 2001, 4198, 2007, 2037, 3171, 5325, 1012, 1996, 6196, 2112, 1997, 27246, 25228, 1997, 1996, 2088, 2003, 2241, 2588, 1996, 4273, 2749, 1012, 13948, 1997, 2582, 2458, 1997, 7072, 1999, 1037, 2193, 1997, 3032, 2003, 3303, 2025, 2069, 2011, 3171, 16003, 1997, 25934, 1012, 1999, 2116, 3032, 4071, 2716, 18549, 1010, 19802, 25879, 2964, 1998, 4353, 1997, 10130, 1012, 1996, 3166, 9228, 5082, 2875, 7072, 2007, 6194, 1997, 4314, 3989, 1997, 4610, 1010, 1998, 9891, 1037, 7091, 2008, 27246, 2964, 2003, 2241, 2006, 1996, 2110, 15112, 2964, 1998, 10860, 5635, 1012, 2009, 2064, 2022, 3249, 2069, 2011, 2965, 1997, 3343, 1997, 2591, 26505, 4346, 6624, 1997, 1996, 2087, 2112, 1997, 2313, 1999, 4450, 1998, 2449, 4023, 1998, 4637, 2008, 2112, 1997, 2313, 2029, 3685, 4287, 2041, 2122, 4972, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1996, 2556, 11028, 14623, 2000, 1037, 4118, 2005, 5024, 11787, 17669, 5949, 2015, 1010, 1998, 2062, 3391, 2000, 1037, 4118, 2005, 9229, 1996, 2146, 1011, 2744, 5527, 6459, 1997, 5024, 7810, 17669, 5949, 2015, 9605, 9233, 5991, 2029, 2024, 2000, 2022, 21866, 1999, 18276, 2030, 2345, 5527, 16143, 1012, 1996, 9233, 5991, 15821, 3653, 7011, 23736, 12921, 14692, 17596, 4820, 17669, 13978, 1998, 2019, 16389, 8185, 2029, 10843, 20626, 2122, 17596, 1998, 2003, 5024, 1999, 2049, 2345, 2110, 1012, 17669, 5949, 2015, 2442, 2022, 22442, 2005, 4568, 5527, 1010, 1045, 1012, 1041, 1012, 2027, 2442, 2022, 4991, 2007, 1996, 4681, 1997, 8185, 4475, 2046, 5024, 7810, 3688, 1012, 2107, 5024, 7810, 3688, 2442, 2031, 1037, 2152, 5012, 2000, 24520, 2075, 1997, 1996, 17669, 13978, 2011, 1037, 4226, 3560, 7300, 1012, 2005, 5949, 10152, 2015, 4820, 5396, 1998, 3811, 17669, 5949, 2015, 1998, 1013, 2030, 2552, 5498, 6155, 1010, 2030, 2005, 2986, 1011, 8982, 2098, 5024, 5949, 2015, 2029, 2024, 2556, 2004, 8636, 2015, 1999, 2300, 2030, 12737, 2030, 2005, 8494, 2015, 1010, 14692, 8185, 4475, 2031, 2042, 2109, 1010, 2426, 2500, 1010, 2000, 2433, 1996, 5024, 7810, 3688, 1012, 1996, 17669, 5949, 2015, 2024, 3816, 2007, 2122, 8185, 4475, 1010, 2024, 5044, 1998, 8254, 14050, 2000, 2433, 27846, 6540, 4230, 1012, 2005, 4436, 1997, 2147, 8010, 1997, 2107, 14692, 4475, 1010, 1996, 13855, 4338, 2038, 2042, 3479, 2005, 1996, 14692, 5024, 9031, 3688, 1012, 1999, 6958, 1010, 17669, 5949, 2015, 2008, 2031, 2042, 22442, 1999, 2023, 5450, 2064, 2022, 8250, 1999, 7218, 16143, 1999, 1037, 4568, 5527, 4322, 1012, 2045, 2079, 4839, 1010, 2174, 1010, 2070, 6196, 4009, 12221, 2007, 1996, 13855, 5044, 5024, 9031, 3688, 1012, 2947, 1010, 2065, 1996, 18276, 2030, 2345, 5527, 11661, 2003, 5591, 1010, 1996, 17596, 2089, 2022, 7932, 2055, 1012, 1996, 5473, 1997, 18701, 2003, 2059, 19335, 9839, 1012, 9308, 1010, 1996, 9625, 1997, 2107, 17596, 17367, 1037, 2200, 2312, 3302, 2181, 1012, 1999, 1996, 2553, 1997, 1996, 4443, 1997, 26820, 1010, 2005, 2742, 1010, 2300, 2030, 1037, 4226, 3560, 5474, 7300, 1010, 1996, 24520, 8613, 1997, 17669, 13978, 2566, 3131, 2051, 2003, 4659, 2152, 1012, 2582, 1010, 3684, 4487, 18719, 24952, 2239, 2013, 1996, 9625, 13855, 6039, 2003, 3132, 1012, 2122, 4009, 12221, 2064, 2022, 9462, 2065, 9625, 17469, 1997, 14692, 17596, 1010, 3005, 3265, 3872, 2003, 1999, 1996, 4971, 18622, 3334, 2846, 1010, 2024, 5024, 7810, 2007, 1996, 4681, 1997, 1037, 6039, 2121, 2030, 14187, 2121, 2046, 9233, 1998, 27846, 6540, 5991, 1012, 1996, 3872, 1997, 2122, 5991, 2003, 1996, 23675, 2846, 1012, 2107, 6039, 2545, 2030, 14187, 2545, 2097, 2182, 3981, 6199, 2121, 2022, 2170, 1996, 7142, 8185, 1012, 2139, 1011, 8827, 2053, 1012, 1016, 1010, 5824, 2575, 1010, 5511, 2581, 1998, 7978, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1018, 1010, 27502, 1010, 23859, 26056, 1037, 4118, 2005, 5024, 11787, 2107, 17669, 5949, 2015, 1012, 1999, 3327, 1010, 2122, 5491, 26056, 1037, 4118, 2005, 5024, 11787, 2152, 1998, 5396, 2557, 18908, 7730, 1998, 1013, 2030, 2552, 5498, 3207, 4820, 1037, 4226, 3560, 5949, 10152, 2015, 2030, 2986, 1011, 8982, 2098, 5024, 5949, 2015, 6731, 1999, 2300, 2005, 2345, 2512, 8663, 15464, 19185, 5527, 1999, 2029, 1996, 5949, 10152, 2015, 2030, 1996, 8636, 2015, 2024, 13532, 2362, 2007, 20998, 1998, 1013, 2030, 14761, 3973, 8031, 28256, 3430, 1010, 2000, 1037, 14692, 7493, 2832, 2061, 2004, 2000, 3965, 1037, 5024, 8254, 14050, 2303, 1012, 1996, 4118, 8681, 1037, 29018, 1997, 4084, 1010, 2164, 1006, 1037, 1007, 12318, 1996, 5949, 10152, 2015, 2030, 8636, 2015, 2011, 9345, 17822, 3370, 1010, 2000, 2433, 2019, 9345, 17822, 3686, 2383, 1037, 2300, 4180, 1999, 1996, 2846, 2090, 2871, 1998, 3770, 3867, 2011, 3635, 1998, 1037, 5024, 4180, 3005, 3384, 10163, 1998, 1013, 2030, 3384, 15772, 6693, 3658, 2090, 2184, 1998, 2382, 3867, 2011, 3635, 1997, 1996, 9345, 17822, 3686, 2108, 2719, 1010, 1998, 19158, 1996, 6887, 1997, 1996, 9345, 17822, 3686, 2000, 2090, 1019, 1998, 2184, 1025, 1006, 1038, 1007, 14161, 13775, 2075, 1996, 9345, 17822, 3686, 4663, 2013, 3357, 1006, 1037, 1007, 2007, 1037, 5726, 1011, 2066, 9415, 4820, 1037, 2235, 11712, 1997, 11297, 1010, 2030, 2007, 2107, 1037, 5726, 1011, 2066, 9415, 2030, 8150, 1997, 1037, 5726, 1011, 2066, 9415, 2007, 1037, 2235, 11712, 1997, 11297, 4820, 2019, 29167, 2005, 16081, 2075, 1996, 5285, 10450, 18605, 1997, 2632, 28613, 11970, 2030, 2632, 28613, 2638, 3011, 11970, 2029, 2089, 2022, 2556, 1999, 1996, 9345, 17822, 3686, 1998, 1013, 2030, 2019, 29167, 2005, 16081, 2075, 1996, 5285, 10450, 18605, 1997, 2151, 21933, 8737, 8820, 3468, 2019, 8496, 2029, 2089, 2022, 2556, 1999, 1996, 9345, 17822, 3686, 3479, 2013, 26754, 1010, 17344, 1010, 9587, 2135, 2497, 13701, 1998, 24471, 5162, 2618, 15956, 1010, 2012, 1037, 3635, 6463, 2846, 1997, 9345, 17822, 3686, 2000, 5726, 1011, 2066, 9415, 1997, 1015, 1024, 1015, 2000, 1016, 1024, 1015, 1010, 1996, 5726, 1011, 2066, 9415, 2108, 2012, 2560, 2028, 9415, 3479, 2013, 11378, 5726, 2015, 1010, 2962, 8059, 5726, 2015, 1010, 17767, 5726, 8150, 2015, 1998, 10556, 18861, 1025, 1006, 1039, 1007, 5155, 27992, 4230, 2013, 1996, 14161, 13775, 2098, 3742, 4663, 1999, 3357, 1006, 1038, 1007, 1025, 1006, 1040, 1007, 3684, 12318, 1996, 27992, 4230, 1010, 2164, 17462, 2012, 7715, 2090, 2282, 4860, 1998, 5018, 1012, 3014, 1012, 1039, 1012, 1010, 10250, 27085, 3070, 2012, 7715, 2039, 2000, 5385, 1012, 3014, 1012, 1039, 1012, 1010, 1998, 3525, 7493, 2012, 7715, 2090, 5385, 1012, 3014, 1012, 1998, 20652, 1012, 3014, 1012, 1039, 1012, 2000, 2433, 8134, 6151, 14643, 16116, 9754, 12335, 1025, 1998, 1006, 1041, 1007, 4372, 20464, 18606, 1996, 27992, 4230, 4820, 1996, 5045, 9754, 12335, 2006, 2035, 3903, 1999, 1037, 9742, 1010, 7142, 14692, 2030, 12392, 8185, 1012, 1996, 27992, 4230, 1997, 3357, 1006, 1040, 1007, 2064, 2022, 4012, 10020, 12926, 2000, 1037, 8982, 2946, 2846, 1997, 2055, 1015, 2000, 2184, 3461, 1010, 1998, 2947, 2022, 1999, 1996, 2433, 1997, 2235, 9309, 2030, 11772, 2077, 2108, 10837, 1999, 1996, 8185, 1997, 3357, 1006, 1041, 1007, 1012, 1996, 7142, 8185, 2064, 2022, 1037, 5045, 14692, 2550, 2013, 2012, 2560, 2028, 5726, 9415, 1998, 2012, 2560, 2028, 11297, 1012, 2009, 2038, 2042, 2179, 1010, 2174, 1010, 2008, 2065, 1037, 7142, 14692, 8185, 2003, 2109, 2550, 2013, 2012, 2560, 2028, 5726, 1011, 2066, 9415, 1010, 1041, 1012, 1043, 1012, 2013, 1996, 2177, 2164, 11378, 5726, 2015, 1010, 17767, 5726, 8150, 2015, 2030, 10556, 18861, 1010, 1998, 11297, 1010, 1998, 3391, 2065, 2023, 3742, 2038, 2042, 13995, 2046, 1037, 5045, 14692, 1010, 1996, 5024, 7810, 4031, 2515, 2025, 2031, 1996, 9059, 5144, 1012, 2053, 5726, 1011, 2066, 3430, 1010, 2007, 2030, 2302, 1996, 2804, 1997, 11297, 1010, 2038, 2042, 2179, 2947, 2521, 2005, 2224, 2004, 1037, 7142, 8185, 2029, 1010, 1999, 2049, 8254, 14050, 2110, 1010, 2038, 1037, 19064, 1997, 9829, 4935, 2029, 2003, 2012, 2560, 2200, 2714, 2000, 2008, 1997, 1996, 14692, 17596, 1998, 2029, 22802, 2015, 27423, 1998, 7371, 3031, 1996, 14692, 17596, 2076, 7493, 2061, 2008, 1999, 1996, 2627, 5024, 7810, 5991, 2020, 4663, 2029, 2020, 21653, 2011, 4866, 15288, 1012, 1996, 15288, 7936, 1996, 3229, 1997, 26820, 2046, 1996, 4592, 1012, 9308, 1010, 1996, 6228, 9211, 1997, 2107, 5991, 2001, 3132, 1012, 2122, 4009, 12221, 2071, 2036, 2025, 2467, 2022, 9462, 2011, 1996, 2224, 1997, 1037, 2980, 7827, 6028, 1012, 1999, 5688, 2000, 8150, 2015, 1997, 2112, 24153, 4230, 2029, 2064, 2022, 15502, 2135, 16620, 1998, 8254, 14050, 1010, 2045, 2024, 3132, 12020, 2005, 4012, 24128, 8150, 2015, 1997, 8254, 14621, 3468, 1010, 5726, 1011, 2066, 2030, 14692, 9898, 2015, 1012, 1996, 13379, 5787, 2003, 2584, 2043, 1996, 14692, 17596, 3967, 2028, 2178, 1998, 2490, 3209, 2006, 2028, 2178, 1012, 2927, 2007, 2023, 2110, 1010, 1996, 3778, 2053, 2936, 4490, 2006, 1996, 14692, 9898, 21866, 1999, 1996, 6970, 10074, 2229, 1012, 8254, 17989, 2059, 3138, 2173, 8134, 2302, 3778, 1010, 1045, 1012, 1041, 1012, 13379, 5158, 2069, 2011, 1996, 22802, 4270, 3303, 2011, 1996, 8254, 17989, 2832, 1012, 2947, 1010, 1996, 2168, 2030, 2714, 3463, 2064, 2022, 3517, 2004, 1999, 1996, 2682, 1011, 3855, 2832, 1997, 2139, 1011, 8827, 2053, 1012, 24231, 16086, 2620, 2581, 1998, 1057, 1012, 1055, 1012, 6986, 1012, 2053, 1012, 1018, 1010, 27502, 1010, 23859, 2029, 2003, 1037, 3778, 1011, 2489, 8254, 17989, 2832, 1012, 2065, 2009, 2003, 4692, 2000, 3466, 13379, 3458, 1996, 3090, 6537, 1010, 2023, 14477, 6767, 8524, 6321, 3463, 1999, 6215, 1997, 1996, 14692, 17596, 1012, 2012, 1996, 16120, 8254, 17989, 7715, 1010, 1996, 14692, 8185, 3430, 2515, 2025, 4834, 2061, 6081, 3973, 2008, 2009, 2003, 2583, 2000, 3104, 1996, 4525, 10341, 2006, 2035, 3903, 1010, 1998, 11914, 1996, 3778, 9972, 3961, 8134, 2330, 1012, 2028, 5056, 1997, 7861, 8270, 4667, 1996, 14692, 17596, 1999, 1037, 8185, 1010, 8419, 1996, 7312, 1997, 1996, 3302, 2181, 7801, 2000, 24520, 2075, 2043, 1996, 18276, 2030, 4568, 5527, 11661, 2003, 5591, 1010, 2003, 2947, 5892, 1012, 1037, 2062, 4866, 13379, 2084, 2649, 2682, 2302, 1996, 5473, 1997, 6215, 1997, 1996, 14692, 17596, 2064, 2022, 3651, 2065, 2009, 2003, 8916, 1010, 2011, 1037, 2152, 6809, 6463, 1997, 14692, 9898, 2000, 14692, 13855, 1010, 2008, 1999, 1996, 16620, 2110, 2045, 2097, 2467, 2022, 8185, 3430, 2090, 1996, 14692, 17596, 1012, 9174, 1997, 3251, 2023, 2110, 2064, 2022, 3651, 2007, 7182, 15258, 2104, 3785, 12711, 2000, 2551, 2007, 3811, 17669, 13978, 1010, 2045, 6526, 1996, 4009, 5963, 2008, 1996, 3872, 1997, 1996, 11661, 3173, 1996, 3796, 2007, 1996, 5024, 7810, 17596, 3685, 2022, 12550, 15502, 2135, 2007, 4847, 2000, 1996, 17596, 1010, 2144, 1996, 8185, 3430, 16306, 2015, 1037, 3056, 1000, 12403, 6129, 1000, 1997, 1996, 17596, 1012, 2023, 4009, 5963, 2003, 4198, 2007, 1996, 2755, 2008, 14477, 6767, 8524, 6321, 6450, 4568, 5527, 3872, 2442, 2022, 4548, 2007, 16389, 13978, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 3522, 9849, 1999, 2784, 23895, 4083, 1006, 1054, 2140, 1007, 2031, 7645, 2049, 4022, 2000, 4553, 3375, 20478, 16924, 8518, 1012, 2174, 1010, 1054, 2140, 2145, 5942, 1996, 8957, 2000, 8145, 1037, 2312, 3815, 1997, 2613, 1011, 2088, 3325, 1012, 2000, 4769, 2023, 3291, 1010, 3522, 2573, 2031, 3818, 4083, 2013, 6739, 13616, 1006, 1048, 2546, 2094, 1007, 1010, 3391, 3081, 19262, 23895, 4083, 1006, 20868, 2140, 1007, 1010, 2445, 2049, 3754, 2000, 6162, 15873, 2836, 2007, 2069, 1037, 2235, 2193, 1997, 6739, 13616, 1012, 6600, 1010, 21296, 2075, 20868, 2140, 2006, 2613, 13507, 2003, 2145, 10368, 2349, 2000, 1996, 2312, 2193, 1997, 1008, 8957, 1008, 6322, 2009, 5942, 1012, 2023, 3259, 8704, 2000, 4769, 2023, 26743, 8553, 4119, 2007, 1037, 15873, 1010, 7099, 1011, 8114, 1010, 1998, 2236, 18804, 1011, 20868, 2140, 9896, 1010, 5490, 10179, 12190, 1010, 2008, 10438, 1037, 2047, 2021, 3141, 2146, 1011, 9154, 4708, 15873, 2135, 2445, 2069, 1037, 2309, 2678, 10467, 1012, 2034, 1010, 2023, 9896, 6879, 6494, 4523, 1996, 4083, 1997, 1037, 4708, 4372, 16044, 2099, 1998, 1037, 4708, 1011, 22442, 3343, 2478, 14260, 18856, 13369, 1006, 4647, 1007, 1012, 2009, 2059, 17427, 2613, 1011, 8957, 6322, 1998, 11826, 2229, 10377, 4083, 2011, 1008, 3495, 1008, 13400, 1037, 1053, 1011, 3853, 2013, 1996, 4117, 8957, 1998, 6739, 19817, 13006, 22471, 18909, 1012, 2279, 1010, 2023, 9896, 3594, 1996, 1053, 1011, 3853, 2000, 2128, 1011, 16157, 2035, 23260, 6322, 5067, 2011, 1996, 8957, 2000, 5335, 1996, 3343, 2855, 1012, 1999, 1996, 2203, 1010, 1996, 3343, 10438, 2062, 15873, 2135, 1006, 3938, 1003, 1009, 3112, 1007, 2084, 4647, 2006, 2047, 8518, 2096, 9034, 2053, 3979, 1011, 1998, 1011, 10697, 2012, 3231, 2051, 1012, 2633, 1010, 2256, 2613, 1011, 8957, 1998, 23599, 7885, 10580, 2256, 9896, 1521, 1055, 2236, 3012, 2408, 2367, 2110, 7258, 1010, 2895, 7258, 1010, 1998, 4432, 1011, 2241, 16924, 8518, 1010, 1041, 1012, 1043, 1012, 1010, 4060, 1011, 10364, 1011, 2173, 1998, 4060, 1011, 4287, 1011, 4530, 1012, 1005, 3166, 1024, 1011, 1005, 8945, 4819, 8814, 1010, 19004, 15990, 1010, 1062, 4819, 11837, 2290, 2002, 1010, 11113, 4048, 20512, 1010, 1998, 2848, 1047, 1012, 5297, 1031, 1034, 1015, 1033, 1005, 24751, 1024, 1011, 1005, 15368, 7875, 2099, 2615, 1012, 12170, 2497, 1005, 2516, 1024, 1005, 1008, 1008, 5490, 10179, 12190, 1024, 15873, 1998, 8114, 4083, 2013, 2678, 10467, 1997, 2146, 1011, 9154, 20478, 16924, 8518, 1008, 1008, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2057, 2004, 20781, 13507, 2000, 2468, 2236, 5130, 2040, 9878, 2047, 3375, 4813, 15873, 2135, 1998, 2855, 1012, 1996, 20478, 2291, 1010, 3251, 3740, 2030, 4342, 1010, 3791, 2000, 21155, 2049, 4493, 3716, 2000, 9611, 1037, 2047, 2021, 3141, 4708, 1999, 2019, 8114, 2664, 2152, 1011, 2836, 5450, 1012, 4283, 2000, 3522, 9849, 1999, 3698, 4083, 1998, 21934, 1011, 2000, 1011, 2613, 4651, 10595, 1010, 2460, 1011, 9154, 20478, 16924, 2107, 2004, 20854, 2038, 5301, 1999, 2836, 1012, 2174, 1010, 2116, 2613, 1011, 2088, 20478, 16924, 8518, 2024, 2146, 1011, 9154, 1010, 7578, 1010, 1998, 12990, 1999, 3872, 1012, 1999, 1996, 6438, 1997, 1037, 26743, 3468, 1998, 11778, 2126, 2000, 9570, 12504, 10058, 2005, 1037, 2312, 2193, 1997, 8518, 1010, 1996, 8957, 3791, 2000, 4553, 1037, 2047, 4708, 3495, 1999, 1996, 3558, 2088, 2013, 2069, 1037, 9210, 1997, 7012, 1010, 2349, 2000, 1996, 2152, 3465, 1997, 9334, 2613, 1011, 8957, 3979, 1011, 1998, 1011, 10697, 1998, 6322, 1012, 999, 1031, 1008, 1008, 4083, 2013, 1037, 2309, 2678, 10467, 1997, 1037, 2146, 1011, 9154, 16924, 4708, 3081, 3730, 1053, 1011, 20903, 18804, 1011, 20868, 2140, 1006, 5490, 10179, 12190, 1007, 1012, 1008, 1008, 1999, 1996, 4060, 1011, 10364, 1011, 2173, 2742, 2682, 1010, 1996, 8957, 3791, 2000, 3921, 1010, 4060, 1011, 2039, 1998, 4287, 1996, 4462, 5835, 1010, 10364, 1996, 3707, 21877, 11362, 2503, 1996, 5835, 2046, 1037, 3563, 11661, 1010, 1998, 2633, 2173, 1996, 5835, 2067, 2006, 1996, 2795, 1012, 2076, 2731, 1010, 1996, 8957, 2003, 2445, 1037, 2309, 2678, 10467, 2005, 1008, 2169, 1008, 1997, 1996, 12567, 2731, 8518, 1012, 2044, 4083, 2013, 2122, 12567, 6876, 1010, 1996, 8957, 2036, 6078, 3938, 3979, 1011, 1998, 1011, 10697, 1008, 1999, 2561, 1008, 2006, 2122, 8518, 1012, 2013, 2107, 4117, 6739, 1998, 8957, 19817, 13006, 22471, 18909, 1010, 1996, 8957, 10229, 1996, 2236, 4813, 1997, 13053, 15873, 2135, 1012, 2012, 3231, 2051, 1010, 2445, 1037, 2309, 2678, 10467, 1997, 13053, 2046, 1037, 1008, 2047, 1010, 16100, 1008, 2417, 11661, 2012, 1037, 1008, 2047, 1008, 2597, 1010, 1996, 8957, 5147, 28024, 2015, 2023, 2047, 4708, 2302, 1996, 2342, 2005, 2151, 3979, 1011, 1998, 1011, 10697, 1012, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 20965, 1024, 17174, 1000, 1065, 1033, 1006, 4481, 1013, 17174, 1012, 1052, 3070, 1007, 1063, 9381, 1027, 1000, 1015, 1032, 2240, 9148, 11927, 2232, 1000, 1065, 2057, 11949, 2008, 2613, 1011, 2088, 20478, 8066, 7654, 2064, 2468, 2062, 7099, 1011, 8114, 1999, 2195, 2590, 3971, 1012, 2034, 1010, 2057, 5060, 2008, 4286, 4553, 8518, 2855, 2011, 3666, 2500, 4685, 2714, 8518, 1012, 2426, 2116, 3596, 1997, 4708, 15066, 2107, 2004, 19054, 1010, 3125, 4871, 1010, 1998, 2653, 8128, 1010, 2529, 13616, 5009, 8993, 6464, 1998, 2064, 2599, 2000, 3278, 7099, 8122, 12154, 1012, 7297, 1010, 4083, 2013, 2678, 13616, 3903, 2618, 4523, 2192, 1011, 12697, 1037, 5372, 10377, 3853, 2005, 2296, 2047, 4708, 1012, 1999, 1996, 2553, 1997, 1037, 4432, 1011, 2241, 4708, 1010, 2678, 13616, 2036, 14057, 2135, 3073, 1996, 2168, 22138, 2110, 2686, 2005, 1996, 8957, 1012, 1999, 4083, 2013, 13616, 1006, 1048, 2546, 2094, 1007, 1010, 1996, 8957, 2323, 2022, 7099, 1011, 8114, 1999, 2048, 9646, 1516, 2009, 2323, 2224, 2004, 2261, 6739, 13616, 1006, 1523, 13616, 1524, 2182, 10354, 3334, 1007, 2004, 2825, 1998, 2202, 2004, 2261, 3979, 1011, 1998, 1011, 10697, 1006, 6078, 1007, 2004, 2825, 2006, 2049, 2219, 2000, 4553, 1037, 15873, 3343, 1012, 2426, 1048, 2546, 2094, 4725, 1010, 14260, 18856, 13369, 1006, 1523, 4647, 1524, 2182, 10354, 3334, 1007, 2003, 7099, 1011, 8114, 2021, 18002, 2000, 7328, 2075, 10697, 1012, 2182, 1010, 7328, 2075, 10697, 6523, 2000, 1996, 3291, 1999, 2029, 2296, 2051, 1037, 14260, 1011, 17598, 2094, 8957, 3084, 1037, 2235, 7561, 1010, 2009, 3084, 1037, 3469, 7561, 2091, 1996, 2346, 2004, 2009, 11852, 2015, 2185, 2013, 1996, 6739, 2110, 4353, 1012, 1999, 5688, 1010, 20868, 2140, 24251, 2015, 7328, 2075, 10697, 2011, 4352, 1996, 8957, 2000, 3046, 1996, 8518, 2041, 1999, 1996, 2613, 2088, 1998, 5468, 2049, 5248, 2114, 1996, 6739, 1012, 2174, 1010, 2349, 2000, 1996, 2342, 2000, 4553, 1037, 10377, 3853, 1010, 20868, 2140, 2064, 5478, 2116, 3979, 1011, 1998, 1011, 10697, 1999, 1996, 2613, 2088, 1010, 2096, 4647, 2515, 2025, 5478, 2107, 8957, 6322, 1012, 2057, 13433, 28032, 2008, 15929, 16594, 2125, 1011, 3343, 6322, 1997, 3979, 1011, 1998, 1011, 10697, 2003, 6827, 2000, 2437, 20868, 2140, 7099, 1011, 8114, 2438, 2005, 2613, 13507, 1012, 2182, 1010, 1523, 2125, 1011, 3343, 6322, 1524, 6523, 2000, 1996, 1008, 23260, 1008, 6322, 2008, 1996, 1008, 8957, 1008, 2038, 5067, 2947, 2521, 2076, 1008, 2731, 1008, 1012, 1999, 5688, 1010, 1523, 2006, 1011, 3343, 6322, 1524, 2024, 1996, 2087, 3522, 6322, 2008, 1996, 8957, 2038, 5067, 2478, 2049, 1008, 2783, 1008, 3343, 1012, 4286, 21155, 13506, 1010, 23260, 6322, 2000, 4553, 2855, 2012, 2556, 1012, 2057, 4372, 17084, 13507, 2000, 9878, 2047, 4813, 2062, 2855, 2011, 4083, 2013, 2125, 1011, 3343, 1006, 1045, 1012, 1041, 1012, 1010, 23260, 1007, 6322, 1012, 2633, 1010, 2116, 2613, 1011, 2088, 8518, 2024, 3141, 1998, 3745, 5090, 1998, 3716, 2008, 2064, 2022, 18516, 2000, 9611, 1037, 2047, 2021, 2714, 4708, 2101, 1012, 2005, 2742, 1010, 4286, 2064, 2855, 4553, 2000, 4060, 1998, 2173, 1037, 2047, 4874, 2044, 4083, 2000, 4060, 1998, 2173, 2116, 2124, 5200, 1012, 18804, 1011, 4083, 1010, 12045, 16911, 2023, 3200, 1010, 8704, 2000, 4553, 1037, 2047, 2021, 3141, 4708, 2855, 2065, 2009, 2038, 2525, 4342, 2195, 2714, 8518, 1999, 1996, 2627, 1012, 2007, 2122, 14354, 2015, 1010, 2057, 8970, 5490, 10179, 12190, 1010, 1037, 18804, 1011, 20868, 2140, 9896, 2008, 10229, 2146, 1011, 9154, 8518, 2855, 1998, 15873, 2135, 2011, 4083, 2013, 1015, 1007, 2678, 13616, 1010, 1016, 1007, 2125, 1011, 3343, 8957, 6322, 1010, 1998, 1017, 1007, 1037, 2275, 1997, 3141, 8518, 1012, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 7607, 2023, 9896, 2478, 1996, 2742, 1997, 1037, 2275, 1997, 2146, 1011, 9154, 4060, 1011, 10364, 1011, 2173, 8518, 1010, 2478, 1996, 24471, 2629, 1011, 6534, 1031, 1034, 1016, 1033, 8957, 16437, 3491, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 8051, 1032, 1033, 1012, 1999, 2023, 4708, 1010, 2057, 2031, 1996, 16143, 1006, 2665, 1010, 3756, 1010, 4589, 1010, 1998, 2417, 1007, 1010, 1037, 18797, 5835, 1006, 4462, 1007, 1010, 1998, 2019, 3707, 21877, 11362, 2503, 1996, 5835, 1012, 1996, 8957, 3791, 2000, 1008, 2034, 3921, 1008, 1998, 4060, 1011, 2039, 1996, 4462, 5835, 1010, 10364, 1996, 3707, 21877, 11362, 2503, 1996, 5835, 2046, 1037, 3563, 11661, 2006, 1996, 2795, 1010, 1998, 2059, 2633, 2173, 1996, 5835, 2067, 2006, 1996, 2795, 1010, 2004, 3491, 1999, 2169, 5216, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 2012, 1996, 2927, 1997, 2169, 4708, 1010, 1996, 5835, 2003, 1008, 2025, 2664, 1008, 1999, 2192, 1010, 2021, 1996, 3707, 21877, 11362, 2003, 2525, 1999, 1996, 5835, 1012, 2012, 2731, 2051, 1010, 1996, 8957, 2003, 2445, 1037, 2309, 2678, 10467, 2005, 2169, 1997, 1996, 12567, 4060, 1011, 10364, 1011, 2173, 8518, 1010, 2004, 3491, 1999, 1996, 2034, 2048, 10281, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 2296, 2047, 5257, 1997, 11661, 4460, 5836, 1037, 2367, 4060, 1011, 10364, 1011, 2173, 4708, 1012, 7297, 1010, 1996, 8957, 2069, 3791, 2000, 10364, 2046, 1008, 2028, 1008, 1997, 1996, 16143, 1999, 1037, 2309, 4708, 1012, 3568, 1010, 13053, 2046, 2367, 16143, 2036, 5836, 2367, 8518, 1012, 2044, 4083, 2013, 2122, 12567, 13616, 1010, 1996, 8957, 2036, 6078, 3938, 3979, 1011, 1998, 1011, 10697, 2006, 2122, 8518, 1008, 1999, 2561, 1008, 1012, 2013, 2107, 1037, 5257, 1997, 6739, 1998, 8957, 19817, 13006, 22471, 18909, 1010, 1996, 8957, 10229, 1996, 2236, 4813, 1997, 4060, 1011, 10364, 1011, 2173, 15873, 2135, 1012, 1999, 2035, 12567, 2731, 8518, 1010, 2069, 1008, 2048, 1008, 1997, 1996, 2176, 16143, 3711, 2006, 1996, 2795, 1024, 1996, 2665, 1998, 3756, 16143, 1010, 2004, 3491, 1999, 1996, 2034, 2048, 10281, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 1996, 4589, 1998, 2417, 16143, 2024, 12421, 2076, 2731, 1998, 2069, 3711, 2012, 3231, 2051, 1010, 2004, 3491, 1999, 1996, 2197, 5216, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1012, 2057, 2079, 2061, 2000, 16157, 2256, 9896, 1521, 1055, 2236, 21335, 8553, 2000, 16100, 16143, 1008, 2012, 3231, 2051, 1008, 1012, 2004, 3491, 1999, 1996, 2197, 5216, 1997, 4871, 1999, 20965, 1012, 1032, 1031, 20965, 1024, 17174, 1032, 1033, 1010, 1996, 8957, 5147, 10364, 2015, 2046, 1037, 1008, 2047, 1008, 11661, 1006, 2417, 1007, 2012, 3231, 2051, 1010, 2012, 1037, 1008, 2047, 1008, 2597, 2196, 2464, 2077, 2076, 2731, 1010, 2302, 1996, 2342, 2005, 2151, 7012, 2030, 6078, 1012, 2000, 6162, 2107, 3435, 2236, 3989, 2000, 2047, 8518, 1010, 2256, 9896, 10229, 1037, 4708, 4372, 16044, 2099, 2897, 1998, 1037, 4708, 1011, 22442, 3343, 1012, 1996, 4708, 4372, 16044, 2099, 19421, 1037, 3590, 1011, 8789, 4708, 7861, 8270, 4667, 9207, 2008, 4372, 23237, 4708, 1011, 3563, 2592, 1012, 1996, 3343, 2897, 2059, 10229, 2000, 2236, 4697, 2000, 2047, 8518, 2011, 10564, 2023, 4708, 7861, 8270, 4667, 9207, 2004, 7953, 1010, 2947, 3352, 1523, 4708, 1011, 22442, 1524, 1012, 2076, 2731, 1010, 2256, 9896, 2034, 6879, 6494, 4523, 4083, 2011, 2731, 2119, 1996, 4708, 4372, 16044, 2099, 1998, 1996, 3343, 10776, 3081, 1996, 4647, 3279, 1012, 1996, 8957, 2059, 17427, 2184, 7012, 2408, 2184, 8518, 2478, 1996, 17336, 1011, 2039, 3343, 1998, 1996, 4708, 4372, 16044, 2099, 1012, 2279, 1010, 2478, 1996, 4117, 6322, 1997, 1996, 6739, 1998, 1996, 8957, 1010, 2256, 9896, 11826, 2229, 10377, 4083, 2011, 3495, 4083, 1037, 4708, 1011, 22442, 1053, 1011, 3853, 1012, 2478, 2023, 1053, 1011, 3853, 1010, 2256, 9896, 2059, 2128, 25581, 1998, 2128, 1011, 16157, 2015, 2035, 23260, 6322, 1997, 1996, 8957, 2000, 5335, 1996, 3343, 2855, 1012, 2023, 5402, 17993, 2127, 1996, 1002, 3938 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2466, 11637, 2317, 2160, 17612, 2015, 1997, 9751, 2021, 2049, 11542, 10960, 9002, 2000, 2175, 2361, 3715, 10643, 2031, 25174, 2094, 2037, 4447, 1997, 15709, 2008, 8037, 2655, 1037, 6965, 5690, 2825, 4883, 5347, 1005, 6624, 3084, 2355, 13989, 2075, 1037, 5387, 2280, 9915, 2472, 2758, 2045, 2003, 2145, 1037, 3768, 1997, 15563, 2006, 2054, 5221, 3036, 10876, 2229, 2020, 3053, 1037, 2095, 2101, 1010, 3841, 5603, 16103, 3464, 1037, 5956, 8400, 1999, 2899, 2005, 2048, 2200, 2367, 4436, 1024, 27427, 27235, 3619, 7028, 3653, 1011, 2886, 3343, 6567, 1998, 27149, 2695, 1011, 2886, 4331, 1012, 1996, 8112, 2317, 2160, 1010, 2013, 1996, 2343, 2006, 2091, 1010, 17612, 2015, 1997, 1000, 6887, 16585, 1000, 3951, 1011, 2419, 7740, 9751, 1012, 2664, 1996, 3447, 1005, 1055, 2219, 11542, 1010, 1998, 2012, 2335, 24949, 1010, 10960, 2000, 7740, 27050, 2031, 5201, 2000, 1996, 2175, 2361, 3715, 2008, 1996, 3447, 1010, 2012, 1037, 6263, 1010, 2038, 2042, 2625, 2084, 13338, 1012, 1000, 2057, 2342, 2000, 2131, 2000, 1996, 3953, 1997, 2054, 3047, 2008, 6659, 2305, 1010, 2339, 2009, 3047, 1010, 1998, 2129, 2057, 2064, 4652, 2714, 19817, 18655, 3111, 1999, 1996, 2925, 1010, 1000, 2160, 5882, 2198, 8945, 11106, 3678, 2056, 2197, 2733, 1999, 3529, 5060, 1996, 2160, 3841, 5603, 16103, 9751, 2052, 3613, 2046, 1996, 2991, 1010, 1998, 2421, 2047, 4942, 6873, 26474, 2005, 5491, 1998, 10896, 2065, 4072, 1012, 2045, 2024, 11476, 3980, 2055, 2339, 5567, 1998, 3563, 16234, 2055, 1996, 3841, 5603, 16103, 3036, 3663, 2020, 2104, 10175, 5657, 2094, 2030, 6439, 1012, 2119, 2375, 12088, 1998, 4454, 8390, 2391, 2000, 2023, 5353, 1005, 1055, 15741, 4400, 1997, 2690, 2264, 1998, 3088, 8408, 5494, 2015, 2004, 1010, 2012, 2560, 1999, 2112, 1010, 1037, 10800, 4342, 2013, 1996, 2244, 2340, 1010, 2262, 1010, 2886, 2008, 2730, 6059, 3782, 8799, 1998, 2093, 2060, 4841, 1012, 10643, 1010, 2174, 1010, 2031, 2012, 2335, 25174, 2094, 2037, 2219, 4366, 2000, 2022, 4699, 2069, 1999, 11476, 7740, 15709, 1010, 2025, 2054, 8037, 2411, 3830, 1037, 14254, 6965, 1011, 5690, 1012, 8945, 11106, 3678, 1010, 2005, 2742, 1010, 2038, 2012, 2335, 9139, 9720, 2375, 12088, 2877, 1996, 9751, 2000, 3579, 2006, 2054, 1996, 3350, 3065, 1011, 1011, 1998, 2025, 2292, 2037, 14254, 16160, 3499, 2037, 2270, 17871, 2000, 2131, 2041, 3805, 1997, 1996, 8866, 1012, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 17857, 2275, 1996, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1010, 12917, 1010, 2006, 2543, 2006, 2244, 2340, 1010, 2262, 1012, 1996, 1057, 1012, 1055, 1012, 6059, 2000, 12917, 1010, 5696, 8799, 1010, 1998, 2093, 2060, 1057, 1012, 1055, 1012, 10342, 2020, 2730, 2076, 1996, 2886, 1012, 1996, 8112, 3447, 3322, 2245, 1996, 2886, 2001, 3344, 2041, 2011, 2019, 4854, 11240, 14120, 2000, 1037, 2678, 1010, 2081, 1999, 1996, 2142, 2163, 1010, 2008, 24195, 7025, 1998, 1996, 12168, 12619, 1012, 2021, 1996, 4040, 2075, 1997, 1996, 3260, 2001, 2101, 4340, 2000, 2031, 2042, 1037, 9452, 2886, 1012, 5342, 14408, 3258, 1015, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 8112, 1998, 7207, 3233, 2012, 9261, 2250, 2486, 2918, 2004, 1996, 4230, 1997, 1996, 2176, 4841, 2730, 2024, 2513, 2006, 2244, 2403, 1012, 5342, 14408, 3258, 1016, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4624, 7719, 2503, 1996, 11060, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2410, 1010, 2048, 2420, 2044, 1996, 2886, 1012, 5342, 14408, 3258, 1017, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 4053, 2003, 2464, 2503, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2410, 1012, 5342, 14408, 3258, 1018, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 11549, 3242, 1998, 12977, 14257, 1999, 1996, 5742, 4770, 1997, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2410, 1012, 5342, 14408, 3258, 1019, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 28337, 8587, 1999, 12917, 2006, 2244, 2260, 2000, 28887, 1996, 15978, 1998, 2376, 2490, 2005, 1996, 5694, 1012, 5342, 14408, 3258, 1020, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1057, 1012, 1055, 1012, 2343, 13857, 8112, 1010, 2007, 3187, 1997, 2110, 18520, 7207, 2006, 2244, 2260, 1010, 3084, 1037, 4861, 2012, 1996, 2317, 2160, 2055, 8799, 1005, 2331, 1012, 5342, 14408, 3258, 1021, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 11060, 4316, 2003, 2464, 2012, 1996, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 1022, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2111, 22459, 1996, 4053, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 1023, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 2235, 2137, 5210, 2003, 2464, 1999, 1996, 17538, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2184, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 2158, 4832, 1999, 2112, 1997, 1037, 5296, 1011, 2041, 2311, 1997, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2340, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 5610, 1998, 2543, 4053, 2003, 10358, 2503, 1037, 2311, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2260, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2431, 1011, 11060, 11385, 1998, 6683, 3104, 1996, 2723, 1997, 2028, 1997, 1996, 1057, 1012, 1055, 1012, 3260, 3121, 2006, 2244, 2260, 1012, 5342, 14408, 3258, 2410, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1996, 1057, 1012, 1055, 1012, 3260, 2003, 2464, 1999, 7311, 2006, 2244, 2340, 1010, 1996, 2154, 1997, 1996, 2886, 1012, 5342, 14408, 3258, 2403, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 6186, 2121, 27325, 2004, 1996, 1057, 1012, 1055, 1012, 3260, 7641, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2321, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4316, 1998, 1996, 4193, 2181, 2024, 24692, 1999, 7311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2385, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 7311, 9413, 29441, 2648, 1997, 1037, 2311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2459, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4316, 7641, 2076, 1996, 2886, 2006, 1996, 1057, 1012, 1055, 1012, 3260, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2324, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2006, 4135, 11045, 2869, 2501, 1996, 4053, 2013, 1996, 2886, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2539, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2006, 4135, 11045, 2869, 3328, 2627, 1037, 5255, 4744, 1998, 2311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2322, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 1037, 4316, 7719, 15488, 11614, 7999, 1999, 7311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2538, 1997, 2570, 7760, 1024, 7760, 1024, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 2886, 2006, 1057, 1012, 1055, 1012, 3260, 1999, 3841, 5603, 16103, 1516, 2111, 9457, 7311, 2648, 1037, 2311, 2006, 2244, 2340, 1012, 5342, 14408, 3258, 2570, 1997, 2570, 2074, 3427, 2054, 2003, 1996, 3606, 2055, 3841, 5603, 16103, 1029, 15712, 2062, 6876, 1012, 1012, 1012, 2442, 3422, 2054, 2003, 1996, 3606, 2055, 3841, 5603, 16103, 1029, 5890, 1024, 4724, 2074, 3427, 1996, 9915, 1005, 1055, 3595, 3739, 1999, 3841, 5603, 16103, 15712, 2062, 6876, 1012, 1012, 1012, 2442, 3422, 1996, 9915, 1005, 1055, 3595, 3739, 1999, 3841, 5603, 16103, 5709, 1024, 2654, 2074, 3427, 3841, 5603, 16103, 7409, 1024, 2053, 2028, 8781, 2033, 15712, 2062, 6876, 1012, 1012, 1012, 2442, 3422, 3841, 5603, 16103, 7409, 1024, 2053, 2028, 8781, 2033, 6021, 1024, 4466, 2036, 2104, 25300, 3070, 1996, 2175, 2361, 3947, 1024, 4636, 1011, 6274, 1041, 1011, 5653, 2015, 1998, 6876, 2013, 3951, 1998, 4603, 2967, 27644, 1037, 3841, 5603, 16103, 3104, 2039, 23339, 2011, 2343, 13857, 8112, 1998, 2059, 1011, 3187, 1997, 2110, 18520, 7207, 1012, 1000, 2017, 1005, 2310, 2288, 1037, 2200, 9398, 2391, 1010, 1000, 16360, 1012, 23158, 26354, 2050, 1010, 3472, 1997, 1996, 2837, 2877, 1996, 2160, 3841, 5603, 16103, 3319, 2409, 13229, 1999, 2019, 4357, 2005, 1000, 1996, 3606, 2055, 3841, 5603, 16103, 1010, 1000, 1037, 2028, 1011, 3178, 2565, 2559, 2012, 1996, 2886, 1998, 2012, 1996, 15304, 3343, 1998, 2576, 3980, 1012, 1000, 1045, 2052, 9544, 2008, 4636, 1011, 6274, 2011, 2648, 2967, 2994, 2185, 2013, 1996, 2524, 2147, 1997, 3519, 1012, 1000, 2021, 2009, 3475, 1005, 1056, 2183, 2000, 4148, 1012, 1000, 2220, 2355, 13989, 2075, 2036, 5876, 2046, 1996, 4331, 1012, 5612, 2175, 2361, 12411, 1012, 14566, 2703, 2758, 7207, 2003, 3625, 2005, 1996, 4942, 1011, 11968, 3036, 1999, 3841, 5603, 16103, 2130, 2065, 1010, 2004, 2016, 2758, 1010, 1996, 5460, 1997, 16234, 1998, 11186, 2005, 2062, 5073, 2196, 2584, 2014, 4624, 1012, 1000, 2008, 1005, 1055, 10785, 2014, 12731, 14277, 8010, 1010, 1000, 2703, 2409, 13229, 1012, 1000, 2043, 2017, 2599, 1996, 2110, 2533, 1010, 6567, 1999, 2028, 1997, 1996, 2087, 4795, 3032, 1999, 1996, 2088, 2323, 4125, 2000, 2115, 2504, 1012, 2008, 1005, 1055, 2115, 3105, 2000, 2191, 2469, 2216, 7696, 2131, 2000, 2017, 1012, 1000, 2175, 2361, 2358, 11657, 24063, 22435, 14017, 7315, 5143, 19821, 1996, 2175, 2361, 3947, 2000, 2224, 3841, 5603, 16103, 2000, 16985, 24014, 7207, 1005, 1055, 3746, 1010, 2021, 5577, 2014, 2004, 1996, 2087, 1000, 18085, 1000, 3537, 2355, 3246, 1998, 9909, 1010, 1000, 1045, 2123, 1005, 1056, 2113, 2008, 3841, 5603, 16103, 2894, 2052, 7752, 1037, 7207, 17057, 2005, 2343, 1012, 1000, 1998, 2065, 1996, 4491, 2085, 2024, 5064, 2881, 2000, 28085, 7207, 2013, 2770, 1010, 8003, 3537, 2358, 11657, 24063, 1998, 7207, 9698, 2703, 11693, 7911, 6083, 2019, 4500, 4668, 1012, 1000, 2016, 1005, 1055, 2196, 2042, 1037, 2711, 2000, 2067, 2000, 2091, 2000, 1037, 20716, 1010, 1000, 11693, 7911, 2056, 1999, 2019, 4357, 1012, 1000, 18520, 2003, 1996, 2828, 1997, 2711, 2000, 2022, 12774, 2011, 2008, 1012, 2000, 3233, 2039, 1998, 2954, 2067 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 23609, 1052, 1012, 14134, 20335, 1006, 3261, 1007, 1999, 1996, 3043, 1997, 1037, 1012, 1046, 1012, 1055, 1012, 3360, 1999, 2342, 1997, 2729, 1012, 2053, 1012, 3770, 1011, 4466, 2509, 1012, 4259, 2457, 1997, 8124, 1012, 7864, 2006, 28760, 2258, 1022, 1010, 3261, 1012, 2787, 2238, 2459, 1010, 3261, 1012, 2128, 26560, 2075, 6380, 2251, 2459, 1010, 3261, 1012, 1008, 20741, 3557, 2375, 3813, 1010, 26124, 1010, 2005, 10439, 24178, 1012, 7157, 1042, 1012, 7003, 2121, 1010, 2221, 2012, 3723, 1012, 1010, 18997, 1010, 24189, 1004, 25957, 15361, 1010, 26124, 1010, 2005, 6869, 4765, 1012, 2016, 11106, 2100, 1010, 3425, 1012, 16233, 1010, 2388, 1997, 19128, 2015, 1010, 9023, 2013, 2019, 2344, 1997, 1996, 14725, 8268, 2212, 2457, 1010, 29231, 2221, 1010, 13752, 19128, 2015, 2019, 16999, 1998, 15486, 2775, 1998, 21467, 4568, 9968, 1997, 19128, 2015, 2000, 1996, 2533, 1997, 2591, 1998, 11252, 2578, 1006, 5034, 2015, 1007, 1012, 2057, 21358, 27972, 1012, 1008, 20636, 10439, 24178, 13275, 2122, 3314, 1024, 1015, 1012, 2001, 1996, 3350, 7182, 2000, 2490, 1996, 4531, 2008, 19128, 2015, 2003, 1037, 3360, 1999, 2342, 1997, 2729, 1029, 1016, 1012, 2003, 1996, 10896, 1997, 1037, 15034, 4745, 2000, 1037, 2457, 1011, 3641, 8317, 9312, 10482, 6024, 1997, 1996, 15034, 1011, 7396, 14293, 1029, 1017, 1012, 2106, 1996, 9634, 1997, 25428, 1005, 10896, 4525, 2013, 1037, 2457, 1011, 3641, 8317, 9312, 23640, 16233, 1005, 1055, 6543, 2157, 1997, 9394, 1029, 1018, 1012, 2515, 1996, 8536, 1999, 1996, 4748, 9103, 25027, 1997, 2023, 3043, 26785, 7971, 17570, 23163, 1029, 19128, 2015, 2001, 2141, 2006, 2285, 2385, 1010, 3699, 1010, 10597, 2128, 7559, 5732, 1010, 4298, 8740, 16774, 2594, 1998, 2007, 4958, 9463, 18075, 1010, 7356, 2011, 2119, 2882, 1998, 17268, 15451, 25750, 1012, 16233, 1998, 9808, 2024, 1996, 3019, 3008, 1997, 1996, 3360, 1012, 9808, 4704, 1996, 2155, 1999, 3476, 1998, 2038, 2018, 2053, 3967, 2007, 1996, 2155, 2144, 1012, 16233, 2001, 3525, 2496, 2000, 1037, 2158, 3183, 2016, 9196, 2044, 13648, 1996, 3129, 12581, 8273, 7741, 19128, 2015, 1012, 2012, 1996, 2051, 19128, 2015, 2001, 3718, 2013, 1996, 2155, 2188, 1010, 16233, 2001, 2542, 2007, 1037, 2158, 2340, 2086, 2014, 3502, 1010, 1999, 3005, 2729, 19128, 2015, 4703, 2001, 18011, 1012, 19128, 2015, 2034, 2211, 5270, 1999, 2569, 2495, 4280, 2012, 20170, 2082, 1999, 3285, 1010, 1998, 2038, 3230, 10843, 2144, 2008, 2051, 1012, 2750, 2014, 2086, 1997, 2495, 1010, 19128, 2015, 2003, 2025, 11848, 4738, 1010, 2038, 2200, 2210, 4613, 1998, 2003, 2641, 2512, 6299, 10264, 1012, 2016, 4972, 2012, 3155, 1037, 2048, 1011, 2095, 1011, 2214, 13908, 2504, 1012, 16233, 2992, 1998, 8725, 2005, 19128, 2015, 2302, 11099, 2011, 1996, 4614, 2127, 2397, 3299, 1012, 2012, 2008, 2051, 1010, 16233, 2872, 2841, 1999, 1037, 2416, 1011, 2733, 4319, 11252, 2565, 2000, 9462, 2014, 4376, 1011, 2095, 18642, 2006, 18243, 17789, 1998, 5622, 23736, 2819, 1998, 2187, 19128, 2015, 1999, 1996, 2729, 1997, 1037, 6469, 2188, 1012, 2076, 2023, 2558, 1010, 19128, 2015, 1005, 1055, 3311, 1998, 4550, 20942, 5301, 12099, 1010, 2014, 2988, 18634, 4023, 26588, 1998, 2014, 9823, 7729, 1998, 26794, 18679, 5301, 1012, 2035, 2122, 3785, 20111, 2043, 19128, 2015, 2513, 2000, 2014, 2388, 1005, 1055, 4398, 1012, 2082, 4584, 1998, 5034, 2015, 5073, 2018, 2013, 1996, 26674, 2042, 4986, 2055, 1996, 5490, 8787, 3593, 4650, 1997, 16233, 1005, 1055, 4398, 1012, 1996, 2188, 2001, 10862, 18294, 1010, 18856, 23128, 1010, 4703, 2018, 4111, 4654, 16748, 9285, 7932, 2055, 1010, 1998, 2018, 2019, 19255, 2029, 19029, 3064, 5731, 2000, 1996, 2391, 2008, 2009, 2001, 3697, 2005, 1996, 14477, 27631, 20389, 2098, 2000, 3961, 1999, 1996, 2188, 1012, 16233, 3039, 1996, 2160, 2000, 2022, 2109, 2004, 1037, 28583, 1011, 2160, 2011, 2814, 1997, 2014, 2060, 2336, 1012, 2122, 3785, 19914, 2119, 2077, 1998, 2044, 1996, 3299, 4319, 11252, 1012, 2096, 1999, 1996, 2729, 1997, 2014, 2388, 1010, 1996, 2110, 1997, 19128, 2015, 1005, 1055, 4550, 20942, 1998, 3167, 19548, 2018, 2042, 12893, 2075, 2000, 2082, 1998, 5034, 2015, 5073, 2013, 1996, 2051, 2014, 14118, 8420, 1012, 2016, 4703, 2234, 2000, 2082, 2007, 2303, 19255, 2061, 11806, 2016, 2001, 3697, 2000, 3921, 4876, 1010, 2014, 2606, 2001, 2411, 26484, 1998, 4717, 2098, 2007, 2833, 1010, 1998, 2016, 4703, 6913, 2829, 6887, 23115, 2213, 1006, 4593, 1037, 2217, 1011, 3466, 1997, 29454, 4630, 2378, 1010, 2014, 3424, 8663, 19722, 4877, 4630, 1007, 5689, 2013, 2014, 4091, 1012, 19128, 2015, 5681, 3369, 2012, 2082, 4895, 25031, 1010, 1998, 2411, 7771, 2083, 2312, 8810, 1997, 1996, 2082, 2154, 1012, 16233, 2823, 9426, 19128, 2015, 1005, 1055, 29454, 4630, 2378, 9998, 13923, 2429, 2000, 1996, 12335, 1997, 1996, 4231, 1012, 2927, 1999, 3299, 1010, 2082, 4584, 2036, 2211, 14158, 2019, 5866, 2193, 1997, 18438, 2006, 19128, 2015, 1012, 2014, 3836, 1998, 1996, 2082, 6821, 2169, 4384, 1010, 2006, 3365, 6642, 1010, 4344, 27373, 2006, 1996, 5110, 7814, 1997, 19128, 2015, 1005, 1055, 3356, 9222, 1998, 18438, 2006, 2119, 4065, 1012, 2043, 10861, 11998, 2055, 1996, 2536, 18438, 1010, 16233, 4050, 7219, 2068, 2004, 4525, 2013, 4212, 2076, 25750, 1006, 2348, 5089, 2018, 5159, 2008, 19128, 2015, 2354, 2043, 1037, 18634, 2001, 2012, 2192, 1998, 2052, 4047, 2841, 2011, 4688, 2006, 1037, 2793, 3188, 2000, 14447, 1997, 1996, 18634, 1007, 1012, 1999, 3245, 1010, 7987, 28580, 1998, 6441, 2000, 19128, 2015, 3473, 21040, 2062, 8793, 1998, 6976, 1012, 2006, 2254, 2484, 1010, 19128, 2015, 3369, 2012, 2082, 2007, 1037, 2312, 24851, 8402, 2013, 2014, 2157, 3244, 2000, 2014, 8999, 1010, 2007, 1037, 2146, 11969, 2091, 1996, 2415, 1012, 2006, 2254, 2656, 1010, 19128, 2015, 2018, 2195, 2312, 1010, 2601, 1010, 9039, 1011, 2828, 18438, 3373, 2011, 1996, 6821, 2000, 2022, 4344, 27373, 2006, 1996, 5110, 8810, 1997, 2169, 10120, 1012, 2006, 2337, 2403, 1010, 19128, 2015, 6913, 2235, 18438, 2006, 2014, 6029, 1998, 4451, 1010, 1998, 1037, 2992, 4408, 2417, 23438, 2058, 1996, 2972, 3356, 4664, 1997, 2014, 2067, 1010, 2007, 2235, 11113, 8180, 8496, 1999, 1996, 1008, 10545, 2415, 1997, 1996, 23438, 1012, 2006, 2337, 2539, 1010, 2016, 2018, 2416, 2312, 1010, 2784, 25980, 1010, 2169, 2055, 2093, 5282, 2146, 1010, 2006, 2014, 2187, 5048, 1012, 2006, 2337, 2656, 1010, 1037, 2591, 7309, 5873, 1996, 2188, 1010, 4384, 2048, 2304, 2159, 2006, 19128, 2015, 1012, 2633, 1010, 2006, 2337, 2654, 1010, 1996, 2591, 7309, 1998, 2082, 6821, 4716, 1996, 2188, 1998, 5159, 1037, 2117, 1011, 2000, 1011, 2353, 1011, 3014, 6402, 3155, 2702, 18119, 2146, 2006, 2014, 2187, 3244, 1012, 2016, 2036, 2018, 1037, 24851, 2105, 2014, 2187, 3239, 2408, 1996, 2958, 1997, 2014, 4451, 1010, 2235, 18438, 2006, 2014, 3054, 8376, 2102, 1010, 1037, 2235, 11969, 2006, 2014, 3356, 13878, 1010, 1998, 1037, 2235, 24851, 2006, 2014, 2157, 2392, 20092, 2181, 1012, 19128, 2015, 2001, 3718, 2013, 1996, 2188, 1996, 2206, 2154, 1010, 2233, 1015, 1010, 3245, 1012, 2206, 2014, 8208, 1010, 19128, 2015, 2001, 2872, 1999, 1037, 6469, 2188, 2005, 2028, 3204, 1010, 2059, 4015, 2000, 1037, 2569, 2731, 2005, 11813, 2111, 1006, 3357, 1007, 2177, 2188, 1012, 2076, 1996, 2558, 2206, 2014, 8208, 1010, 2014, 3311, 1998, 3167, 19548, 2153, 5301, 1010, 2014, 2082, 5270, 5301, 29295, 1010, 1998, 2016, 2001, 2062, 9499, 2096, 2012, 2082, 1012, 2045, 2001, 2036, 10896, 2008, 2014, 2988, 18634, 4023, 26588, 1998, 2014, 2836, 1999, 2082, 5301, 1012, 5034, 2015, 6406, 2049, 9964, 23294, 19128, 2015, 2001, 1037, 3360, 1999, 2342, 1997, 2729, 2006, 2238, 2756, 1010, 3245, 1012, 1996, 3426, 2001, 2657, 2011, 1996, 2212, 2457, 2012, 3674, 19153, 2218, 2006, 2244, 1020, 1010, 3245, 1025, 2285, 1020, 1010, 3245, 1025, 2258, 1017, 1010, 3150, 1998, 2238, 1017, 1010, 3150, 1012, 1996, 2212, 2457, 3133, 2049, 9556, 1010, 15306, 1998, 2344, 2006, 2255, 2861, 1010, 3150, 1012, 5034, 2015, 3591, 2004, 9390, 1010, 2082, 4584, 1010, 11500, 1998, 5034, 2015, 5073, 2040, 14914, 2000, 12381, 1996, 8866, 2179, 2011, 1996, 2457, 1998, 3141, 2682, 1012, 3176, 10896, 2001, 2445, 2011, 2852, 1012, 18446, 26903, 10354, 3385, 1010, 1037, 6612, 15034, 1010, 2040, 4146, 1037, 2457, 1011, 3641, 8317, 7749, 1997, 16233, 1012, 2852, 1012, 26903, 10354, 3385, 2864, 2019, 4866, 8317, 4357, 1997, 16233, 1998, 8564, 2195, 6851, 5852, 1010, 2013, 2029, 2002, 5531, 16233, 2038, 2070, 7554, 4167, 4053, 2004, 2092, 2004, 1037, 6180, 8761, 12061, 1000, 14710, 6180, 1012, 1000, 2002, 4081, 2122, 3785, 6551, 15115, 2007, 16233, 1005, 1055, 28586, 3754, 1010, 1998, 5228, 2010, 5448, 2008, 16233, 2003, 4039, 2000, 3066, 23613, 2007, 1998, 2729, 2005, 19128, 2015, 2058, 1996, 2146, 2744, 1012, 2256, 3853, 1999, 15252, 24394, 1998, 19046, 3572, 2038, 2042, 2092, 4225, 1999, 1037, 2193, 1997, 3025, 6567, 1012, 3043, 1997, 1048, 2546, 2290, 1006, 3245, 1007, 1010, 18318, 1012, 1010, 5354, 2620, 1052, 1012, 14134, 11176, 2629, 1010, 4029, 2358, 1012, 16360, 1012, 16666, 2581, 1025, 1999, 2128, 13638, 1006, 3355, 1007, 1010, 19492, 18318, 1012, 24030, 1010, 24902, 1052, 1012, 14134, 11118, 2692, 1012, 1999, 13638, 1010, 2057, 3090, 1024, 1000, 2023, 2457, 2003, 2568, 3993, 2008, 1996, 3078, 4611, 1997, 10561, 1996, 5372, 9968, 1997, 2336, 2003, 1996, 4708, 1997, 1996, 2212, 2457, 1012, 2004, 1037, 2765, 1010, 2035, 9608, 3653, 17421, 16790, 2015, 2004, 2000, 1996, 6149, 2791, 1997, 1996, 9128, 2011, 1996, 2212, 2457, 2097, 2022, 2081, 1012, 1031, 11091, 16647, 1012, 1033, 2349, 2000, 2023, 3653, 17421, 16790, 1997, 6149, 2791, 1010, 1996, 2212, 2457, 1005, 1055, 9556, 2097, 2025, 2022, 12491, 2006, 5574, 4983, 2045, 2003, 1037, 6707, 1997, 2375, 2030, 1037, 4531, 1997, 2755, 2025, 3569, 2011, 23411, 3350, 2008, 2052, 3815, 2000, 1037, 3154, 6905, 1997, 19258, 1012, 1006, 11091, 16647, 1012, 1007, 1000, 19492, 18318, 1012, 2012, 19652, 1010, 24902, 1052, 1012, 14134, 2012, 11118, 2475, 1012, 2057, 2031, 3525, 2218, 1999, 3043, 1997, 1046, 20850, 1006, 3245, 1007, 1010, 18318, 1012, 1010, 5354, 2549, 1052, 1012, 14134, 11176, 2581, 1010, 4029, 2358, 1012, 16360, 1012, 6486, 2575, 1010, 2008, 1996, 2457, 1005, 1055, 9556, 2442, 2022, 3569, 2011, 3154, 1998, 13359, 3350, 1012, 2008, 10859, 2038, 2042, 8760, 2182, 1012, 16233, 4491, 1996, 10514, 26989, 29125, 1997, 1996, 3350, 2006, 1037, 2193, 1997, 7888, 1012, 2174, 1010, 2057, 2424, 3154, 1998, 13359, 3350, 1997, 16655, 2595, 24759, 18175, 2094, 3558, 6441, 1998, 14710, 5142, 2005, 1996, 4550, 20942, 1998, 19548, 1997, 19128, 2015, 2000, 2490, 1996, 2457, 1005, 1055, 9556, 1012, 2057, 3568, 4769, 2069, 2216, 2752, 1012, 1037, 2193, 1997, 2082, 4584, 14914, 1997, 1996, 7619, 5490, 8787, 2953, 1997, 16233, 1005, 1055, 4398, 1010, 2004, 3141, 2682, 1012, 1996, 2168, 9390, 3024, 14954, 12653, 1997, 1996, 2536, 6441, 8760, 2011, 19128, 2015, 1010, 1998, 1997, 2014, 11888, 1044, 2100, 11239, 8713, 3471, 2096, 1999, 1996, 2729, 1997, 2014, 2388, 1012, 2122, 2168, 2111, 4384, 1037, 6918, 2735, 7875, 5833, 1997, 19128, 2015, 1005, 1055, 4550, 20942, 1998, 3558, 2092, 1011, 2108, 2044, 2016, 2018, 2042, 3718, 2013, 1996, 2188, 1012, 16233, 1010, 2006, 1996, 2060, 2192, 1010, 14914, 2008, 2014, 2188, 2001, 23613, 5224, 1010, 1998, 2008, 19128, 2015, 2001, 2921, 2004, 27820, 2004, 2014, 4650, 2052, 3499, 1012, 16233, 7108, 2014, 2684, 1005, 1055, 3532, 2082, 5270, 1998, 6976, 15575, 2096, 2012, 2082, 2000, 18634, 4023, 1012, 1008, 19594, 4212, 10860, 25750, 2020, 5827, 2011, 16233, 2005, 2035, 1996, 2536, 18438, 1025, 1998, 1996, 6402, 4504, 2013, 1037, 7198, 14366, 4926, 5994, 3053, 5263, 3558, 9530, 25485, 8496, 2011, 19128, 2015, 1012, 2073, 10896, 2003, 3495, 19326, 1010, 2057, 3653, 23545, 2008, 1996, 3648, 1005, 1055, 9556, 2024, 6149, 2138, 2002, 2001, 2556, 2043, 1996, 10896, 2001, 2445, 1998, 2018, 1996, 4495, 2000, 11949, 1996, 21745, 1997, 1996, 9390, 1012, 3043, 1997, 28774, 1006, 3245, 1007, 1010, 18318, 1012, 1010, 25186, 1052, 1012, 14134, 11118, 2581, 1010, 4029, 2358, 1012, 16360, 1012, 25113, 1012, 2182, 1010, 1996, 2457, 4900, 2000, 2903, 2008, 1996, 2188, 2001, 2025, 7919, 5224, 2750, 5567, 4073, 1997, 5034, 2015, 2000, 3073, 2188, 18321, 5375, 1010, 1998, 2008, 1996, 6441, 2000, 19128, 2015, 2020, 4445, 23613, 4496, 13675, 2098, 17296, 4541, 1012, 1996, 2457, 2106, 2025, 6905, 2049, 19258, 1999, 2061, 4531, 1012, 16233, 12040, 2015, 2008, 2144, 2045, 2001, 2053, 3622, 3350, 2008, 2016, 9969, 17303, 1996, 6441, 2588, 19128, 2015, 1010, 1996, 4531, 1997, 6905, 1998, 19046, 2001, 24156, 1012, 2930, 4601, 1011, 1017, 1011, 9402, 1010, 22432, 1010, 11859, 2019, 16999, 2030, 15486, 2775, 2004, 1000, 1012, 1012, 1012, 1037, 2775, 3005, 3671, 3558, 2740, 2030, 7574 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1288, 17149, 29827, 14157, 1295, 24830, 1305, 17149, 15394, 15394, 1012, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1295, 29820, 29826, 29836, 23673, 24830, 1270, 29824, 29817, 1304, 14157, 1270, 29831, 23673, 29816, 1278, 17149, 1278, 25573, 29821, 23673, 1295, 15915, 25573, 29823, 23673, 1298, 1283, 17149, 29841, 29817, 1297, 25573, 24830, 1270, 15394, 25573, 17149, 24830, 1298, 1304, 25573, 17149, 29821, 18511, 14157, 1275, 25573, 29817, 1295, 29836, 17149, 15394, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1292, 17149, 25573, 17149, 1295, 24830, 1305, 24830, 17149, 15394, 1012, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1271, 14157, 1295, 15915, 29829, 29836, 17149, 1270, 15915, 29817, 29834, 25573, 23673, 1297, 29836, 25573, 24830, 1295, 29836, 29819, 29836, 15394, 1278, 17149, 1304, 18511, 25573, 23673, 1304, 29836, 23673, 17149, 1271, 14157, 1278, 25573, 29821, 23673, 1295, 29820, 24830, 29828, 1297, 25573, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1295, 24830, 1283, 29836, 15394, 1012, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1271, 25573, 1295, 29817, 17149, 24830, 25573, 23673, 1297, 25573, 24830, 1305, 29836, 15915, 25573, 29842, 29836, 15915, 1298, 1278, 17149, 1270, 29816, 29830, 25573, 15394, 1295, 29821, 29817, 23673, 29833, 1288, 17149, 29827, 14157, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 29823, 1282, 25573, 23673, 15407, 2549, 1291, 17149, 29836, 29825, 29842, 25573, 14157, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1280, 25573, 14157, 1270, 15915, 15394, 25573, 29823, 24830, 1304, 17149, 15394, 14157, 1270, 29824, 29817, 1273, 25573, 1271, 29817, 29836, 18511, 15394, 1292, 15394, 22192, 24830, 1278, 17149, 1280, 25573, 29824, 29817, 25573, 24830, 1280, 29824, 18511, 15394, 15915, 1278, 22192, 25573, 24830, 1295, 29828, 23673, 29836, 29816, 1271, 14157, 1295, 29820, 24830, 29828, 1297, 25573, 1271, 17149, 15394, 25573, 17149, 15394, 1012, 1278, 17149, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1270, 29823, 1275, 15915, 29824, 1270, 23673, 29836, 22192, 24830, 15915, 24830, 29836, 22192, 1268, 1270, 14157, 15915, 1298, 1303, 29836, 29816, 1273, 29836, 23673, 24830, 15394, 1295, 24830, 1283, 29836, 15394, 1012, 1270, 29823, 1278, 24830, 29842, 17149, 1295, 29820, 29826, 29836, 23673, 25573, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1295, 24830, 1273, 29836, 18511, 1271, 14157, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1277, 29828, 24830, 1268, 1282, 29834, 29833, 24830, 1268, 1278, 22192, 29839, 17149, 15394, 25573, 17149, 1268, 1271, 15394, 29836, 15915, 1278, 22192, 29839, 17149, 1298, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1271, 25573, 29823, 15394, 24830, 15394, 1270, 29825, 25573, 17149, 14157, 1304, 17149, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1277, 15394, 22192, 25573, 29817, 1302, 29824, 1270, 29823, 1291, 17149, 29836, 29825, 1270, 17149, 25573, 14498, 14157, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1298, 1297, 22192, 29840, 15915, 24830, 15915, 1292, 24830, 22192, 29817, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1271, 29824, 24830, 25573, 17149, 1295, 15915, 25573, 29824, 29816, 1278, 17149, 1296, 29829, 17149, 1305, 17149, 29833, 29817, 14157, 1270, 29824, 29817, 1012, 1295, 29817, 29821, 29826, 29826, 18511, 1296, 29826, 29816, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1297, 22192, 29836, 25573, 17149, 14157, 1278, 17149, 1273, 23673, 25573, 29825, 15915, 15394, 1273, 25573, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1295, 29825, 29817, 17149, 24830, 18511, 1280, 25573, 1271, 17149, 25573, 24830, 1270, 15915, 18511, 1296, 29826, 29816, 1296, 22192, 25573, 24830, 15915, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1271, 29821, 29825, 1277, 17149, 24830, 15394, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 24830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1280, 25573, 14157, 1270, 15915, 15394, 25573, 29823, 24830, 1304, 17149, 15394, 14157, 1270, 29824, 29817, 1273, 25573, 1295, 29825, 29817, 17149, 24830, 18511, 1271, 29817, 29836, 18511, 15915, 15394, 1271, 14157, 1280, 25573, 29820, 29817, 24830, 1298, 1278, 17149, 1304, 29836, 29817, 25573, 14157, 29817, 17149, 24830, 15915, 1281, 22192, 18511, 1295, 29820, 29826, 29836, 23673, 25573, 29817, 1295, 29836, 17149, 15394, 1296, 24830, 25573, 29823, 1277, 29836, 15394, 1280, 25573, 1273, 14157, 24830, 14157, 1304, 15915, 15915, 15394, 1012, 1278, 17149, 1270, 24830, 15915, 1283, 17149, 29841, 29817, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1286, 17149, 29820, 1297, 25573, 1268, 1280, 15915, 29842, 1297, 25573, 1298, 1295, 29817, 17149, 24830, 25573, 23673, 1297, 25573, 24830, 1305, 29836, 15915, 25573, 29842, 29836, 15915, 1282, 25573, 29821, 29817, 14157, 1295, 24830, 1283, 29836, 15394, 1012, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1271, 25573, 1273, 29836, 29819, 14157, 1271, 14157, 1296, 24830, 25573, 29823, 1295, 29826, 17149, 29833, 1304, 15915, 15915, 15394, 14157, 1278, 17149, 24830, 29840, 14157, 1297, 25573, 24830, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1277, 29836, 15394, 1280, 25573, 1286, 17149, 25573, 29820, 24830, 1298, 1270, 29819, 17149, 25573, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1298, 1271, 25573, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1270, 29823, 1270, 24830, 15394, 14157, 1297, 25573, 24830, 1275, 15394, 24830, 15394, 1304, 25573, 17149, 29825, 15915, 25573, 29824, 18511, 1277, 29836, 15394, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 29819, 15394, 24830, 15394, 1280, 25573, 1270, 29823, 1275, 15915, 29824, 1297, 25573, 24830, 1295, 29821, 29817, 23673, 29833, 24830, 1297, 22192, 29840, 29836, 15915, 1270, 14157, 15915, 1268, 1270, 23673, 29836, 22192, 24830, 15915, 24830, 29836, 22192, 1298, 1303, 29836, 29816, 1273, 29836, 23673, 24830, 15394, 1298, 1271, 14157, 1271, 25573, 29823, 25573, 17149, 1295, 29826, 17149, 29833, 24830, 1270, 17149, 25573, 14498, 14157, 1295, 24830, 1296, 22192, 25573, 24830, 15394, 1012, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1304, 18511, 25573, 23673, 1282, 25573, 29823, 24830, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1273, 29836, 23673, 24830, 15394, 1298, 1271, 14157, 1291, 17149, 29836, 29825, 1295, 24830, 1280, 29824, 15394, 1012, 1278, 17149, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1273, 22192, 25573, 22192, 24830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1275, 15394, 24830, 15394, 1298, 1271, 14157, 1280, 29836, 29823, 1278, 15915, 24830, 25573, 1270, 29823, 1275, 22192, 23673, 14157, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1295, 29825, 29816, 29841, 1268, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 24830, 29836, 25573, 17149, 24830, 1268, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1282, 29834, 29833, 24830, 1298, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1277, 29828, 24830, 1288, 17149, 29827, 14157, 1295, 24830, 1305, 17149, 15394, 15394, 1012, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1304, 14157, 1278, 17149, 1271, 25573, 23673, 25573, 1296, 25573, 22192, 1271, 17149, 15394, 14157, 1283, 15394, 1271, 25573, 1270, 29824, 29817, 29833, 25573, 15394, 14157, 1270, 29823, 1298, 17149, 29834, 1297, 25573, 24830, 1295, 29817, 15915, 29836, 29830, 24830, 1273, 29836, 23673, 24830, 15394, 1295, 24830, 1283, 29836, 15915, 15394, 1012, 1291, 17149, 29836, 29825, 29842, 25573, 14157, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 24830, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1280, 25573, 1278, 17149, 1296, 29836, 29830, 1305, 25573, 23673, 29836, 18511, 24830, 29823, 14157, 1268, 1270, 23673, 29836, 22192, 24830, 15915, 24830, 29836, 22192, 1268, 1302, 23673, 25573, 29824, 29817, 24830, 29841, 24830, 1298, 1303, 29836, 29816, 24830, 1271, 14157, 1291, 17149, 29836, 29825, 1295, 24830, 1280, 29824, 18511, 15394, 1012, 1304, 25573, 17149, 29816, 17149, 15394, 1297, 17149, 1309, 29841, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 1271, 29824, 29817, 14157, 1271, 14157, 1296, 29836, 29830, 1295, 29820, 24830, 29828, 1298, 1304, 25573, 17149, 29816, 17149, 24830, 1270, 15915, 14157, 25573, 1295, 29817, 29831, 24830, 17149, 1295, 24830, 1271, 25573, 29825, 15394, 1012, 1297, 22192, 29840, 15915, 24830, 15915, 1278, 17149, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1270, 15915, 29836, 25573, 29830, 1295, 29821, 29817, 23673, 29833, 24830, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1303, 29836, 29816, 24830, 1277, 29828, 24830, 1274, 25573, 29816, 29817, 1268, 1277, 29828, 24830, 1278, 22192, 29839, 17149, 15394, 25573, 17149, 1268, 1278, 24830, 29836, 25573, 17149, 24830, 1278, 17149, 29839, 29836, 29825, 1278, 25573, 17149, 1298, 1270, 15915, 29836, 25573, 29830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1303, 29836, 29816, 24830, 1281, 24830, 17149, 1291, 15915, 1304, 29836, 14498, 23673, 24830, 1273, 29836, 23673, 24830, 15394, 1298, 1271, 14157, 1291, 17149, 29836, 29825, 1295, 24830, 1280, 29824, 15394, 1012, 1309, 29841, 24830, 1270, 29823, 1275, 15394, 24830, 15394, 29817, 17149, 24830, 15915, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1283, 17149, 29841, 29817, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1268, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 29839, 29836, 29825, 1278, 25573, 17149, 1295, 24830, 1271, 25573, 29825, 15394, 1012, 1270, 24830, 15915, 1295, 29820, 29826, 29836, 23673, 1295, 29820, 29816, 29836, 29816, 24830, 29817, 100, 1270, 24830, 1278, 17149, 1295, 24830, 18511, 1295, 29825, 29817, 17149, 24830, 18511, 1304, 29824, 29816, 1304, 17149, 15394, 14157, 1270, 29824, 29817, 1012, 1297, 17149, 1309, 29841, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 1295, 29823, 25573, 24830, 25573, 24830, 1295, 15915, 29820, 29826, 17149, 1271, 14157, 1291, 17149, 15394, 24830, 1278, 25573, 17149, 15915, 15394, 1304, 14157, 1278, 17149, 1271, 29821, 29825, 1297, 25573, 24830, 1271, 29830, 15394, 24830, 1273, 29836, 29827, 24830, 29820, 25573, 29817, 24830, 1278, 17149, 29816, 25573, 17149, 14157, 1309, 1297, 17149, 1304, 15394, 25573, 22192, 1278, 17149, 29819, 1283, 15394, 14157, 1270, 29824, 29817, 1012, 1270, 24830, 15915, 1295, 29828, 25573, 23673, 29816, 1271, 14157, 1295, 15915, 29829, 29836, 17149, 1282, 14157, 29836, 23673, 29817, 1295, 29825, 29817, 17149, 24830, 18511, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1278, 17149, 1270, 15915, 29817, 29821, 25573, 29816, 1295, 29820, 29826, 29836, 23673, 1295, 29836, 17149, 15394, 1296, 29829, 17149, 29825, 18511, 1273, 14157, 24830, 14157, 1298, 1274, 29816, 29817, 1283, 15394, 14157, 1270, 29824, 29817, 1012, 1288, 23673, 25573, 29836, 14157, 1271, 17149, 1270, 29828, 23673, 25573, 29830, 25573, 29817, 1295, 29817, 15915, 24830, 1278, 17149, 29819, 1283, 15394, 14157, 1268, 1270, 15915, 29836, 25573, 29830, 1295, 29821, 29817, 23673, 29833, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 14157, 25573, 24830, 1273, 14157, 17149, 18511, 1278, 22192, 25573, 1273, 29836, 29824, 29828, 1273, 29826, 25573, 29836, 24830, 17149, 1298, 25573, 29827, 29820, 1298, 1271, 25573, 1304, 24830, 29833, 29817, 1297, 17149, 1309, 29841, 1270, 29823, 1278, 17149, 24830, 29840, 14157, 1297, 25573, 24830, 1273, 15915, 29829, 24830, 22192, 1297, 29836, 25573, 1292, 25573, 29816, 23673, 1295, 29825, 25573, 14157, 15394, 14157, 1295, 24830, 1271, 25573, 29825, 15394, 1012, 1277, 17149, 24830, 15394, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 24830, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1278, 17149, 1305, 29822, 29825, 29817, 14157, 1270, 29833, 17149, 25573, 15394, 1271, 17149, 25573, 24830, 1273, 14157, 24830, 14157, 1309, 1278, 17149, 24830, 29840, 14157, 1304, 29836, 23673, 17149, 1295, 24830, 1271, 25573, 24830, 29824, 29817, 1271, 14157, 1295, 17149, 25573, 29841, 29823, 1291, 17149, 29836, 29825, 1291, 24830, 29823, 24830, 29841, 24830, 1295, 17149, 25573, 29819, 29830, 14157, 1295, 24830, 1304, 17149, 15394, 15915, 15394, 1012, 1270, 22192, 25573, 1270, 22192, 17149, 29836, 29823, 14157, 1271, 25573, 1302, 24830, 29825, 17149, 29833, 29817, 1270, 17149, 29817, 29816, 25573, 29828, 25573, 29817, 1298, 1270, 24830, 15915, 29817, 17149, 15915, 29817, 1270, 24830, 15915, 1292, 25573, 29816, 23673, 24830, 29817, 1291, 17149, 25573, 14157, 22192, 1283, 15394, 14157 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 12702, 2389, 3654, 2063, 2024, 10015, 3120, 1997, 28148, 2349, 2000, 2037, 5056, 3560, 2838, 2107, 2004, 2037, 6302, 13181, 24330, 3267, 1010, 2152, 3930, 3446, 1010, 3768, 1997, 2971, 2007, 2833, 8765, 2005, 5424, 2571, 2455, 1010, 1998, 12990, 17490, 14778, 6313, 6177, 1010, 2107, 2004, 5250, 1010, 28815, 2015, 1010, 1998, 7637, 3787, 1006, 1031, 1030, 25416, 1011, 2403, 1033, 1025, 1031, 1030, 25416, 1011, 4261, 1033, 1007, 1012, 3568, 1010, 2009, 2038, 2042, 2109, 2004, 14172, 17406, 1010, 2107, 2004, 1999, 2833, 1010, 5438, 1010, 8360, 9440, 1010, 16012, 11263, 9050, 1010, 2030, 12141, 6377, 1999, 3117, 16012, 2890, 23460, 2854, 8474, 1006, 1031, 1030, 25416, 1011, 4724, 1033, 1025, 1031, 1030, 25416, 1011, 4029, 1033, 1007, 1012, 4406, 12350, 4264, 1010, 1996, 6897, 2135, 3161, 10099, 15901, 2013, 12702, 2389, 3654, 2063, 2031, 3491, 4310, 5144, 1010, 2107, 2004, 3424, 3676, 21162, 4818, 1010, 3424, 24093, 2140, 1010, 3424, 11263, 13807, 2140, 1010, 3424, 11636, 8524, 6024, 1010, 3424, 1011, 20187, 1010, 1998, 3424, 1011, 13656, 5144, 1006, 1031, 1030, 25416, 1011, 1021, 1033, 1025, 1031, 1030, 25416, 1011, 2410, 1033, 1025, 1031, 1030, 25416, 1011, 2321, 1033, 1025, 1031, 1030, 25416, 1011, 2385, 1033, 1025, 1031, 1030, 25416, 1011, 1020, 1033, 1025, 1031, 1030, 25416, 1011, 1022, 1033, 1007, 1012, 2013, 21791, 2391, 1997, 3193, 1010, 26572, 3736, 9468, 18428, 6155, 2013, 18670, 2024, 10015, 3688, 2349, 2000, 2037, 14531, 1999, 18670, 1006, 1031, 1030, 25416, 1011, 2570, 1033, 1007, 1012, 26572, 3736, 9468, 18428, 6155, 2064, 2022, 15901, 2013, 18670, 2011, 2195, 1000, 2665, 1000, 14676, 5461, 1010, 2107, 2004, 18302, 1011, 7197, 14676, 1006, 1031, 1030, 25416, 1011, 2382, 1033, 1007, 1998, 9007, 1011, 7197, 14676, 4725, 1006, 1031, 1030, 25416, 1011, 2538, 1033, 1007, 1012, 1996, 6459, 1997, 2367, 26572, 3736, 9468, 18428, 6155, 2013, 12702, 2389, 3654, 2063, 1010, 2164, 2037, 5512, 1998, 3252, 1010, 2020, 6936, 1006, 1031, 1030, 25416, 1011, 1021, 1033, 1007, 1012, 2009, 2001, 2988, 2008, 1008, 1043, 1012, 17727, 21041, 24894, 1008, 1998, 1008, 1039, 1012, 29364, 2483, 1008, 4838, 24004, 16122, 6593, 9232, 1006, 1031, 1030, 25416, 1011, 2871, 1033, 1007, 1998, 18423, 1006, 1031, 1030, 25416, 1011, 2676, 1033, 1007, 1010, 4414, 1012, 2174, 1010, 1996, 2060, 26572, 3736, 9468, 18428, 6155, 2013, 12702, 2389, 3654, 2063, 2024, 21770, 10624, 18155, 25219, 2869, 1997, 16122, 6593, 9232, 1010, 1060, 8516, 9232, 1010, 18423, 1010, 1054, 3511, 15460, 2063, 1010, 11865, 13186, 2063, 1010, 1998, 10424, 14194, 22282, 1006, 1031, 1030, 25416, 1011, 2484, 1033, 1025, 1031, 1030, 25416, 1011, 4090, 1033, 1025, 1031, 1030, 25416, 1011, 2654, 1033, 1007, 1012, 1031, 1030, 25416, 1011, 2340, 1033, 2179, 2008, 1996, 3252, 1997, 1996, 26572, 3736, 9468, 18428, 6155, 2013, 1008, 6887, 6679, 13390, 6593, 8516, 2819, 13012, 27108, 24072, 2819, 1008, 2001, 1037, 8223, 7810, 26754, 2094, 19857, 27108, 17175, 5804, 2319, 1010, 2007, 1037, 21505, 3605, 1997, 1156, 1011, 1006, 1015, 1010, 1017, 1007, 1011, 5799, 10856, 9232, 1012, 2116, 2913, 2031, 3491, 2008, 1996, 26572, 3736, 9468, 18428, 6155, 2013, 12702, 2389, 3654, 2063, 2024, 7356, 2011, 3424, 3676, 21162, 4818, 1010, 3424, 11667, 2953, 1010, 1998, 3424, 24093, 2140, 5144, 1006, 1031, 1030, 25416, 1011, 2656, 1033, 1007, 1012, 2004, 1037, 2785, 1997, 22939, 20389, 1010, 13866, 2361, 2038, 2042, 2179, 1999, 2307, 14531, 1999, 5780, 1998, 18955, 5380, 1006, 1031, 1030, 25416, 1011, 1018, 1033, 1007, 1012, 2009, 3397, 3155, 4029, 1012, 1018, 1003, 13587, 5250, 1010, 2656, 1012, 1015, 1003, 2482, 5092, 10536, 7265, 2618, 1010, 2324, 1012, 1014, 1003, 5423, 3593, 1010, 2321, 1012, 1023, 1003, 6683, 1010, 1998, 1014, 1012, 2423, 1003, 8699, 28283, 11461, 11917, 2006, 1037, 4318, 3635, 1006, 1040, 2860, 1007, 3978, 1006, 1031, 1030, 25416, 1011, 2756, 1033, 1007, 1012, 1999, 2804, 1010, 2009, 2064, 27598, 7070, 28815, 2015, 2107, 2004, 11865, 3597, 18684, 3372, 10606, 1010, 13012, 15719, 2140, 25643, 17119, 27896, 1010, 1998, 14827, 1011, 1017, 2146, 1011, 4677, 26572, 4609, 16846, 4648, 3064, 19101, 12737, 1010, 2107, 2004, 1041, 11261, 3736, 11837, 2696, 16515, 2594, 5648, 1006, 19044, 1025, 29248, 2692, 1024, 1019, 1007, 1006, 1031, 1030, 25416, 1011, 2324, 1033, 1025, 1031, 1030, 25416, 1011, 2861, 1033, 1025, 1031, 1030, 25416, 1011, 4601, 1033, 1025, 1031, 1030, 25416, 1011, 2423, 1033, 1007, 1012, 2747, 1010, 2009, 2003, 3293, 3550, 2005, 2049, 5423, 9821, 1010, 2926, 19044, 1010, 1998, 2195, 2913, 2031, 4912, 2000, 3623, 1996, 2537, 10750, 1997, 19044, 1998, 28148, 1006, 1031, 1030, 25416, 1011, 2260, 1033, 1025, 1031, 1030, 25416, 1011, 1016, 1033, 1025, 1031, 1030, 25416, 1011, 2423, 1033, 1007, 1012, 1999, 3522, 2086, 1010, 2349, 2000, 2049, 2116, 17261, 3450, 1010, 11865, 3597, 18684, 3372, 10606, 2038, 2042, 3293, 3550, 2013, 13866, 2361, 1012, 2174, 1010, 2045, 2003, 2210, 2470, 2055, 1996, 26572, 3736, 9468, 18428, 6155, 15901, 2013, 13866, 2361, 1012, 3568, 1010, 2000, 2191, 2440, 2224, 1997, 1996, 2632, 3654, 1010, 1999, 2023, 3259, 1010, 2057, 15901, 26572, 3736, 9468, 18428, 6155, 2013, 13866, 2361, 1010, 7356, 2049, 5072, 3252, 1010, 1998, 3273, 1996, 3424, 9336, 17119, 4023, 1997, 1996, 26572, 3736, 9468, 18428, 6155, 1012, 4475, 1998, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 6887, 6679, 13390, 6593, 8516, 2819, 13012, 27108, 24072, 2819, 1008, 8168, 1998, 2128, 4270, 7666, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 9550, 13866, 2361, 9898, 2001, 8127, 2011, 1996, 2820, 1997, 4153, 6779, 1010, 2822, 2914, 1997, 4163, 1012, 2035, 1996, 2128, 4270, 7666, 2109, 2020, 1997, 17826, 3694, 1998, 11088, 2800, 4983, 4728, 3090, 1012, 14676, 1997, 26572, 3736, 9468, 18428, 6155, 2013, 1008, 6887, 6679, 13390, 6593, 8516, 2819, 13012, 27108, 24072, 2819, 1008, 1006, 13866, 2361, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 14676, 16403, 2001, 2004, 1031, 20965, 1012, 1015, 1033, 1006, 1001, 20965, 1011, 1015, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1012, 999, 1031, 14676, 2832, 1012, 1032, 1996, 14676, 16403, 1997, 13866, 2361, 1012, 1033, 1006, 8152, 3501, 1011, 5718, 1011, 19714, 2683, 1011, 1043, 8889, 2487, 1007, 1063, 1001, 20965, 1011, 1015, 1065, 1996, 9550, 13866, 2361, 9898, 2001, 15901, 2011, 1996, 9175, 7317, 3388, 4118, 2007, 22886, 2000, 6366, 28815, 2015, 1998, 5423, 9821, 1012, 1996, 21755, 2001, 2059, 9550, 1999, 2019, 17428, 2012, 2753, 6362, 1010, 1998, 26572, 3736, 9468, 18428, 6155, 2020, 15901, 2011, 2980, 4487, 16643, 11001, 2300, 2007, 1996, 5375, 1997, 11087, 18585, 4725, 1012, 1996, 15502, 4860, 1010, 2335, 1997, 11087, 18585, 3949, 1010, 1998, 14676, 2051, 2020, 4340, 1006, 3491, 1999, 1031, 27024, 2592, 1033, 1006, 1001, 27024, 1011, 2592, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1012, 2429, 2000, 1996, 15502, 3785, 1010, 1996, 21755, 2632, 9692, 9898, 2001, 5845, 2011, 1996, 11087, 18585, 4118, 2005, 2322, 2335, 1010, 2184, 1055, 2551, 1010, 2184, 1055, 2717, 1010, 1998, 17014, 1059, 2373, 1012, 2059, 1010, 2009, 2001, 15901, 2012, 3770, 6362, 2005, 1016, 1044, 2007, 18385, 1012, 1996, 5576, 2550, 2011, 10882, 7096, 8156, 2001, 25011, 2011, 16933, 9345, 17822, 8844, 1998, 13764, 2100, 5422, 2005, 5474, 8208, 1012, 1996, 4663, 5576, 2001, 25011, 2153, 1010, 1998, 1996, 2345, 5576, 2001, 13184, 1011, 9550, 2000, 2131, 1996, 16405, 22618, 26754, 2094, 26572, 3736, 9468, 18428, 6155, 1010, 2170, 13866, 2361, 1012, 5072, 23191, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 12464, 1997, 13866, 2361, 2001, 7594, 2011, 6522, 15472, 2007, 1037, 24529, 2243, 21500, 1043, 29537, 2692, 28400, 2595, 2140, 5930, 2478, 1014, 1012, 5709, 9587, 2140, 1013, 1048, 6583, 1066, 1016, 1066, 2061, 1066, 1018, 1066, 2004, 1996, 4684, 4403, 2006, 2019, 29003, 3372, 14010, 2692, 6522, 15472, 2291, 6055, 2007, 1037, 25416, 26884, 5950, 19034, 1012, 1996, 5930, 4860, 2001, 3486, 6362, 1010, 1998, 1996, 4834, 3446, 1997, 1996, 4684, 4403, 2001, 1014, 1012, 1019, 19875, 1013, 8117, 1012, 20647, 6494, 2078, 4781, 2007, 1037, 12464, 1997, 1015, 1010, 1019, 1010, 2260, 1010, 2753, 1010, 3770, 1010, 13756, 1010, 1998, 25535, 1047, 2850, 1006, 13201, 1010, 2273, 27364, 2050, 7535, 1010, 24098, 1010, 3915, 1007, 2020, 2109, 2000, 10250, 12322, 11657, 1996, 5930, 1012, 2561, 5699, 2015, 2020, 16578, 2011, 1996, 6887, 16515, 2140, 1011, 17864, 2594, 5648, 4118, 1006, 1031, 1030, 25416, 1011, 2184, 1033, 1007, 2478, 16122, 6593, 9232, 2004, 1996, 3115, 1012, 26754, 2094, 4180, 2001, 4340, 2011, 1996, 22466, 2819, 19057, 21500, 20363, 4118, 1006, 1031, 1030, 25416, 1011, 2459, 1033, 1007, 1012, 1996, 9587, 8017, 21879, 1997, 1996, 18847, 3736, 9468, 18428, 3207, 5512, 2020, 4340, 2429, 2000, 1031, 1030, 25416, 1011, 3943, 1033, 1012, 1015, 1011, 6887, 2368, 8516, 1011, 1017, 1011, 25003, 1011, 1019, 1011, 1052, 19563, 6844, 27165, 3653, 1011, 5930, 29280, 6522, 15472, 2001, 2109, 2000, 5646, 1996, 9587, 8017, 6463, 1997, 1996, 18847, 3736, 9468, 18428, 3207, 5512, 1012, 4780, 1010, 2184, 11460, 26572, 3736, 9468, 18428, 3207, 7099, 2001, 8314, 2046, 2028, 19875, 4487, 16643, 11001, 2300, 1012, 1996, 8150, 2001, 18479, 2135, 5422, 1999, 1018, 9587, 2140, 1013, 1048, 13012, 10258, 19098, 3217, 10732, 4588, 5648, 1010, 2628, 2011, 8699, 3989, 2007, 13365, 18479, 19491, 1012, 2059, 1010, 6522, 15472, 2001, 2109, 2000, 5646, 2296, 18847, 3736, 9468, 18428, 3207, 5512, 2006, 1037, 1061, 12458, 5308, 1051, 5104, 1037, 4160, 5930, 1006, 1018, 1012, 1020, 3461, 1095, 5539, 3461, 1007, 1012, 10856, 9232, 1010, 1054, 3511, 15460, 2063, 1010, 11865, 13186, 2063, 1010, 16122, 6593, 9232, 1010, 1060, 8516, 9232, 1010, 18423, 1010, 1998, 1043, 7630, 10841, 4948, 2594, 5648, 2013, 13201, 1011, 2632, 23335, 2020, 2109, 2004, 4781, 1012, 3027, 1011, 20868, 29237, 1997, 13866, 2361, 2020, 4340, 2006, 1037, 9851, 2102, 1011, 9475, 3027, 1011, 20868, 28699, 13887, 15141, 2090, 4278, 1998, 1018, 1010, 2199, 4642, 1034, 1597, 2487, 1034, 1012, 9312, 1997, 26402, 2075, 2002, 26952, 2475, 3930, 4023, 1999, 25714, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1001, 1001, 1001, 3526, 3226, 2002, 26952, 2475, 4442, 4156, 2013, 28919, 6562, 3526, 2924, 1010, 2822, 2914, 1997, 4163, 1010, 2020, 3226, 2094, 1999, 1040, 4168, 2213, 20585, 2007, 2184, 1003, 25972, 8945, 20534, 20194, 5576, 1010, 2531, 1057, 1013, 19875, 7279, 28775, 21202, 1998, 2531, 11460, 1013, 19875, 2358, 2890, 13876, 16940, 15459, 2012, 4261, 6362, 1999, 1037, 14178, 7810, 7224, 4820, 1019, 1003, 2522, 1066, 1016, 1066, 1012, 1001, 1001, 1001, 9312, 1997, 26402, 2075, 2002, 26952, 2475, 3930, 4023, 1999, 25714, 1996, 3526, 3930, 24054, 2100, 4023, 1997, 13866, 2361, 2007, 2367, 14061, 1006, 2753, 1010, 2531, 1010, 5018, 1010, 3263, 1010, 1998, 5539, 1057, 2290, 1013, 19875, 1007, 2001, 14155, 2011, 11047, 2102, 4632, 4710, 1012, 1996, 4442, 2020, 13916, 1999, 1037, 5986, 1011, 2092, 5127, 2012, 1037, 6693, 1997, 1015, 1095, 2184, 1034, 1018, 1034, 4442, 1013, 19875, 1998, 4297, 19761, 3064, 2007, 2536, 14061, 13866, 2361, 2005, 4466, 1044, 1012, 2059, 1010, 3263, 17359, 1014, 1012, 1019, 11460, 1013, 19875, 11047, 2102, 5576, 2001, 2794, 2000, 2169, 2092, 1012, 2044, 1018, 1044, 4297, 19761, 3508, 1010, 1996, 7766, 2020, 9358, 3089, 11263, 5999, 2005, 2184, 8117, 2012, 1022, 1010, 2199, 11575, 1012, 11047, 2102, 5576, 2001, 3718, 1012, 1998, 3263, 17359, 1040, 5244, 2080, 2001, 2794, 2046, 2169 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2383, 6581, 3716, 1997, 1996, 6523, 4765, 5300, 1997, 2417, 2668, 4442, 1006, 21144, 6169, 1007, 10857, 2007, 2336, 1998, 25947, 2003, 28089, 2590, 2005, 5372, 7613, 1997, 1996, 3463, 1997, 3143, 2668, 4175, 1012, 4431, 5300, 2005, 21144, 6169, 10857, 2024, 2896, 2007, 2336, 1999, 7831, 2007, 1996, 6001, 1006, 1031, 1030, 29491, 1033, 1007, 1012, 2195, 2913, 2029, 10847, 19610, 10610, 27179, 11709, 2031, 2042, 2589, 1999, 2367, 7080, 1010, 5762, 1010, 5636, 1998, 5907, 20576, 2015, 1010, 2130, 1999, 2367, 3692, 1006, 1031, 1030, 1038, 2475, 1033, 1011, 1011, 1031, 1030, 1038, 2629, 1033, 1007, 1012, 1999, 2087, 1997, 2122, 2913, 1010, 2287, 1010, 5636, 1998, 3348, 5966, 2020, 3278, 1998, 3568, 2009, 2001, 13233, 1996, 2342, 2005, 7411, 3671, 4431, 5300, 2005, 2367, 7080, 1012, 21144, 2278, 10857, 2024, 7199, 6540, 2083, 4639, 2166, 1010, 2021, 3278, 5966, 4839, 1999, 1996, 23614, 2313, 1012, 1996, 20662, 10527, 1010, 3080, 2775, 1010, 1998, 4639, 2265, 13769, 5966, 1006, 1031, 1030, 1038, 2575, 1033, 1007, 1012, 2138, 19610, 8649, 4135, 8428, 2504, 1998, 2417, 3526, 29299, 8137, 2007, 2287, 1010, 2009, 2003, 10232, 2000, 2202, 2004, 4431, 4781, 2008, 2689, 1999, 2169, 2558, 1997, 2166, 1010, 2013, 25972, 2166, 2000, 29101, 1012, 4639, 3643, 2097, 2022, 2584, 6360, 2076, 1996, 2117, 2112, 1997, 5593, 1010, 2105, 2321, 1061, 2099, 1997, 2287, 1006, 1031, 1030, 1038, 2581, 1033, 1007, 1012, 2000, 5676, 2008, 7613, 1997, 19610, 10610, 6483, 3463, 1999, 2336, 2024, 6413, 1010, 1996, 5911, 2038, 2000, 2031, 2511, 2287, 1011, 3563, 4431, 8483, 1006, 1031, 1030, 1038, 2620, 1033, 1007, 1012, 1996, 3348, 5966, 1999, 19610, 8649, 4135, 8428, 2504, 1999, 6001, 2024, 2092, 8832, 1010, 1998, 1996, 10318, 10595, 2024, 2763, 1037, 3622, 3466, 1997, 3348, 20752, 1010, 2119, 9765, 22991, 1998, 1998, 22991, 2015, 2006, 9413, 22123, 8093, 7361, 10448, 19009, 1006, 1031, 1030, 1038, 2683, 1033, 1007, 1012, 1000, 1999, 3653, 1011, 9047, 8743, 2389, 4286, 2053, 2350, 5966, 2064, 2022, 2179, 2090, 1996, 21024, 1999, 2417, 2668, 3526, 4175, 2030, 19610, 8649, 4135, 8428, 1998, 20194, 10768, 18752, 7629, 14061, 1000, 1006, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 1000, 1996, 4489, 1999, 19610, 10610, 9966, 10857, 2090, 21024, 19391, 2044, 14447, 1997, 2273, 3367, 6820, 10708, 1998, 14516, 2127, 2184, 1061, 2099, 2044, 1996, 2273, 29477, 8557, 1000, 1006, 1031, 1030, 1038, 2683, 1033, 1010, 1031, 1030, 29491, 2692, 1033, 1007, 1012, 2273, 3367, 6820, 3370, 1998, 28268, 13822, 2024, 4054, 4436, 2005, 2896, 5300, 1997, 19610, 8649, 4135, 8428, 1998, 3707, 1997, 2308, 4953, 2273, 1006, 1031, 1030, 29491, 2487, 1033, 1007, 1012, 1996, 2561, 3815, 1997, 19610, 8649, 4135, 8428, 7457, 2062, 1999, 3337, 2084, 1999, 1996, 3057, 1999, 1996, 2558, 1997, 9047, 15010, 1006, 1031, 1030, 29491, 2475, 1033, 1007, 1012, 2426, 2336, 1020, 1011, 1011, 2403, 1061, 2099, 2214, 1996, 5300, 3445, 2013, 2055, 2260, 2000, 2055, 2403, 24665, 2566, 2531, 19875, 1997, 2668, 1012, 1999, 3057, 2090, 2403, 1998, 2322, 1061, 2099, 1997, 2287, 1010, 1996, 19610, 8649, 4135, 8428, 5300, 10548, 3621, 1010, 4285, 2410, 16523, 1013, 2531, 19968, 1012, 1999, 3337, 1997, 7978, 5535, 1010, 2045, 2001, 2019, 3623, 2000, 2055, 2321, 16523, 1013, 2531, 19968, 1012, 1999, 2119, 21024, 1010, 2122, 5300, 2020, 12754, 2012, 2055, 2322, 1061, 2099, 1997, 2287, 1998, 2815, 8281, 1997, 1996, 2353, 5476, 1997, 2166, 1006, 1031, 1030, 29491, 2509, 1033, 1007, 1012, 1037, 2261, 12596, 2913, 2031, 2042, 4146, 2006, 2336, 1999, 3653, 1011, 20274, 1998, 20274, 2086, 1998, 1996, 3768, 1997, 2913, 1998, 2592, 2006, 19610, 10610, 9966, 11709, 2005, 2023, 2313, 2003, 5793, 1012, 7667, 1997, 21144, 2278, 10857, 1999, 2402, 2313, 1998, 9128, 1997, 3671, 5300, 2003, 4072, 2005, 8720, 1997, 2019, 17577, 1012, 1996, 6614, 1997, 2023, 3259, 2001, 2000, 5646, 1996, 5300, 1997, 21144, 2278, 10857, 2007, 2402, 2313, 2013, 2119, 21024, 1010, 2306, 2287, 8487, 1022, 2000, 2324, 2086, 1012, 2825, 5966, 1999, 1996, 2177, 1006, 1055, 1007, 2031, 2000, 2022, 4340, 4953, 1996, 2287, 4489, 1998, 2090, 1996, 2967, 4953, 1996, 3348, 1012, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5739, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2817, 6818, 5031, 1997, 3998, 7965, 2402, 3633, 1006, 2287, 8487, 1022, 2000, 2324, 1061, 2099, 1007, 2029, 4194, 10843, 1999, 2367, 7957, 1997, 2998, 3450, 1998, 2020, 2920, 1999, 3180, 2966, 3653, 1011, 6577, 4638, 1011, 11139, 1999, 2355, 1012, 1037, 2177, 2007, 3287, 5739, 2001, 3605, 1997, 11212, 6818, 1998, 2931, 2177, 2001, 3605, 1997, 3770, 6818, 1012, 2119, 2967, 2020, 4055, 2046, 20576, 2015, 4953, 1996, 2048, 1011, 2095, 13483, 1024, 2104, 2184, 1006, 1057, 10790, 1007, 1025, 2104, 2260, 1006, 1057, 12521, 1007, 1025, 2104, 2403, 1006, 1057, 16932, 1007, 1025, 2104, 2385, 1006, 1057, 16048, 1007, 1025, 2104, 2324, 1006, 1057, 15136, 1007, 1012, 2668, 3074, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 19610, 10610, 9966, 5604, 2001, 2112, 1997, 3143, 2966, 4638, 6279, 2005, 2998, 3653, 1011, 6577, 11326, 1010, 2076, 2851, 2847, 1006, 2013, 1022, 1024, 4002, 2000, 2260, 1024, 4002, 2572, 1007, 1999, 1037, 4758, 5911, 2007, 5377, 4860, 1006, 2090, 2322, 6362, 1998, 2484, 6362, 1007, 1998, 18213, 1012, 2000, 5646, 1996, 2668, 4175, 2668, 8168, 2020, 5067, 2013, 6178, 9386, 2854, 6258, 2478, 25403, 6081, 16143, 2007, 3424, 3597, 8490, 7068, 3372, 1006, 3968, 2696, 1047, 2509, 1007, 5100, 1999, 2049, 3681, 1012, 2019, 5281, 9345, 7630, 8844, 2001, 1999, 3715, 1997, 1996, 3074, 8853, 1012, 4106, 2001, 4340, 2011, 12978, 19610, 10610, 6483, 17908, 2099, 11113, 2595, 12702, 2015, 3438, 1011, 27178, 1006, 11113, 2595, 19610, 10610, 6483, 1010, 18318, 11880, 3771, 1010, 2605, 1007, 1012, 1996, 4087, 7561, 26721, 3446, 2099, 10903, 3662, 5300, 2896, 2084, 1015, 1003, 1012, 2128, 4270, 7666, 1010, 10250, 12322, 16259, 2015, 1010, 1998, 7711, 2020, 4663, 2013, 1996, 6602, 7751, 1012, 4106, 1997, 8168, 2001, 2864, 3202, 2044, 2668, 5059, 1012, 1996, 5604, 2001, 4146, 2012, 1996, 2820, 1997, 16127, 1010, 2966, 4513, 29255, 1010, 3072, 1997, 11492, 1012, 15182, 1997, 16578, 19610, 10610, 9966, 11709, 1006, 1031, 1030, 29491, 2549, 1033, 1010, 1031, 1030, 29491, 2629, 1033, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 9413, 22123, 8093, 10085, 17250, 2030, 2417, 2668, 9294, 2036, 3615, 2000, 2004, 1000, 21144, 6169, 1000, 1010, 9125, 10320, 1996, 2193, 1997, 21144, 6169, 2566, 3131, 3872, 1997, 2878, 2668, 1012, 3287, 1018, 1012, 1021, 1011, 1011, 1020, 1012, 1015, 1095, 2184, 1034, 1020, 1034, 4442, 1013, 3461, 1034, 1017, 1034, 1025, 2931, 1018, 1012, 1016, 1011, 1011, 1019, 1012, 1018, 1095, 2184, 1034, 1020, 1034, 4442, 1013, 3461, 1034, 1017, 1034, 1012, 19610, 10610, 26775, 4183, 1006, 16731, 2102, 1007, 2003, 1996, 7017, 1997, 2668, 2008, 2003, 3421, 2011, 1996, 2417, 2668, 4442, 1012, 3671, 8483, 2005, 19610, 10610, 26775, 4183, 2024, 6118, 7790, 2006, 1996, 2287, 1010, 1998, 2092, 2649, 2013, 20662, 2015, 2000, 4639, 2287, 1012, 15502, 5300, 2005, 4639, 3767, 2024, 2090, 4413, 1003, 1998, 5139, 1003, 1998, 2005, 2931, 4229, 1003, 2000, 4805, 1003, 1012, 19610, 8649, 4135, 8428, 2504, 1006, 1044, 2497, 1007, 2003, 5228, 2004, 1996, 3815, 1997, 19610, 8649, 4135, 8428, 1999, 20372, 2566, 11703, 18622, 3334, 1997, 2878, 2668, 1012, 4639, 3767, 2323, 2031, 2090, 2403, 2000, 2324, 1043, 1013, 21469, 1010, 4639, 2450, 2260, 2000, 2385, 1043, 1013, 21469, 1012, 2812, 13931, 15431, 3872, 1006, 11338, 2615, 1007, 2003, 1996, 2812, 3872, 1997, 2035, 1996, 2417, 2668, 4442, 1999, 1996, 7099, 2030, 1996, 2779, 2946, 1997, 1996, 2417, 2668, 3526, 1012, 2009, 2064, 2022, 10174, 2011, 16023, 1996, 19610, 10610, 26775, 4183, 1006, 3872, 1997, 2035, 21144, 2278, 1007, 2011, 21144, 2278, 2193, 1012, 1996, 3643, 2003, 5228, 1999, 3872, 3197, 1010, 10768, 20492, 10893, 19168, 1006, 13109, 1027, 2184, 1034, 1597, 16068, 1034, 1048, 1007, 1012, 1996, 3671, 2846, 2003, 3770, 1011, 6365, 10258, 1012, 2812, 13931, 15431, 19610, 8649, 4135, 8428, 1006, 11338, 2232, 1007, 5836, 1996, 2812, 3742, 1997, 19610, 8649, 4135, 8428, 1999, 1996, 2028, 2417, 2668, 3526, 1998, 2003, 5228, 1999, 1996, 3742, 3131, 1010, 27263, 8649, 6444, 2015, 1006, 18720, 1027, 2184, 1034, 1597, 12521, 1034, 24665, 1007, 1012, 2009, 2003, 10174, 2011, 16023, 1996, 2561, 3742, 1997, 19610, 8649, 4135, 8428, 2011, 1996, 2193, 1997, 2417, 2668, 4442, 1012, 1996, 3671, 2846, 2003, 2676, 1011, 1011, 2861, 18720, 1012, 2812, 13931, 15431, 19610, 8649, 4135, 8428, 6693, 1006, 11338, 16257, 1007, 2003, 1996, 2812, 6693, 1997, 19610, 8649, 4135, 8428, 1999, 1996, 2417, 3526, 2030, 2779, 6693, 1997, 19610, 8649, 4135, 8428, 1999, 2028, 23675, 1997, 2417, 2668, 4442, 1012, 2009, 2003, 10174, 2011, 16023, 1996, 19610, 8649, 4135, 8428, 2011, 1996, 19610, 10610, 26775, 4183, 1012, 11338, 16257, 13883, 1996, 3574, 1997, 11338, 2232, 6195, 1996, 2946, 1997, 1996, 3526, 1012, 1996, 3671, 2846, 2003, 2861, 1012, 1019, 1011, 1011, 3486, 1043, 1013, 21469, 1012, 16428, 2860, 2030, 2417, 3526, 4353, 9381, 2003, 16381, 2008, 5761, 8386, 1999, 2417, 2668, 2946, 2030, 2417, 2668, 3526, 3872, 1012, 1996, 4431, 8483, 2005, 16428, 2860, 2005, 4639, 2003, 2340, 1012, 1020, 1003, 1011, 1011, 2403, 1012, 1020, 1003, 1012, 9615, 1011, 1011, 1011, 1011, 1011, 1011, 12148, 12962, 6226, 2001, 2363, 2013, 1996, 9615, 2837, 1997, 1996, 2966, 4513, 1010, 7020, 16049, 1998, 4118, 4173, 2118, 1010, 29255, 1010, 3072, 11492, 1006, 2053, 1027, 6021, 1011, 13285, 2581, 1013, 1019, 1007, 1012, 6727, 9619, 2015, 2020, 4663, 2013, 1996, 3008, 1012, 7778, 4106, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 7778, 4106, 2004, 2864, 2478, 1996, 3274, 4007, 11867, 4757, 2005, 3645, 2544, 2403, 1012, 1014, 1006, 11867, 4757, 4297, 1012, 1010, 3190, 1010, 3915, 1007, 1012, 4106, 1997, 23284, 5387, 4818, 4106, 1998, 2695, 21929, 3674, 18539, 2020, 2109, 2000, 16157, 1996, 7784, 1997, 1996, 5966, 1012, 5966, 1999, 19173, 2020, 16578, 2478, 1996, 9610, 1011, 2675, 3231, 2030, 8731, 1005, 1055, 6635, 3231, 2043, 6413, 1012, 2035, 2951, 2020, 3591, 2004, 2812, 1006, 1081, 16150, 1007, 1012, 3463, 2020, 2641, 2000, 2022, 7778, 2135, 3278, 2043, 1008, 1052, 1008, 1011, 3643, 2001, 2625, 2084, 1014, 1012, 5709, 1006, 1008, 1052, 1008, 1032, 1026, 1014, 1012, 5709, 1007, 1012, 3463, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 19610, 10610, 27179, 11709, 1999, 3767, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 2812, 3643, 1998, 3115, 24353, 2015, 2005, 2236, 2838, 1006, 2287, 1010, 4578, 1998, 3635, 1007, 1998, 19610, 10610, 27179, 11709, 1006, 21144, 6169, 1011, 2417, 2668, 4442, 1025, 1044, 2497, 1011, 19610, 8649, 4135, 8428, 1010, 16731, 2102, 1011, 1011, 19610, 10610, 26775, 4183, 1025, 1998, 19610, 10610, 9966, 29299, 1024, 11338, 2615, 1010, 11338, 2232, 1010, 11338, 16257, 1998, 16428, 2860, 1007, 2005, 2177, 1997, 3287, 6818, 1006, 1050, 1027, 11212, 1007, 2024, 3591, 1999, 1031, 2795, 1015, 1033, 1006, 1001, 1056, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 2795, 1000, 1065, 1012, 2035, 11709, 2024, 3491, 2005, 2274, 2287, 2367, 20576, 2015, 1012, 2152, 7778, 2135, 3278, 4489, 2003, 2179, 2005, 2035, 2236, 2838, 1997, 6818, 1024, 2287, 1010, 4578, 1010, 1998, 3635, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 2236, 6459, 1998, 19610, 10610, 27179, 11709, 1997, 1996, 3287, 6818, 1006, 1022, 1011, 1011, 2324, 1061, 2099, 1010, 1050, 1027, 11212, 1007, 2005, 2287, 2367, 20576, 2015, 1008, 1008, 1008, 3287, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 10790, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 12521, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 16932, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 16048, 1008, 1008, 1008, 1008, 1008, 1008, 1057, 15136, 1008, 1008, 1008, 1008, 1008, 1008, 1052, 1011, 3643, 1008, 1008, 1008, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1017, 10250, 1012, 7605, 4464, 2620, 1006, 3359, 1007, 28245, 1052, 1012, 14134, 26839, 3938, 10250, 1012, 1054, 13876, 2099, 1012, 3438, 2620, 7625, 5427, 2194, 1997, 2047, 2259, 3802, 2632, 1012, 1010, 9964, 2545, 1010, 1058, 1012, 1996, 6020, 2457, 1997, 26234, 11960, 2221, 1010, 6869, 4765, 1025, 1042, 5063, 4291, 2089, 1010, 2613, 2283, 1999, 3037, 1012, 8946, 3388, 2053, 1012, 1055, 1012, 1042, 1012, 21489, 25746, 1012, 4259, 2457, 1997, 2662, 1012, 1999, 2924, 1012, 2255, 2756, 1010, 3359, 1012, 1008, 4278, 9517, 2146, 1004, 11902, 2102, 1010, 14324, 1059, 1012, 11902, 2102, 1010, 5125, 1038, 1012, 11902, 2102, 1010, 2198, 1038, 1012, 8103, 1998, 4459, 1044, 1012, 3165, 2005, 9964, 2545, 1012, 2053, 3311, 2005, 6869, 4765, 1012, 9762, 1010, 4079, 1004, 19479, 2063, 1010, 9762, 1010, 5954, 1010, 4079, 1004, 19479, 2063, 1010, 2198, 1042, 1012, 7051, 1998, 1058, 1012, 2508, 2990, 2140, 2005, 2613, 2283, 1999, 3037, 1012, 5448, 23680, 5358, 2497, 1010, 1046, 1012, 2011, 2023, 9964, 2005, 1037, 25697, 1997, 11405, 1010, 9964, 2545, 1006, 2182, 3981, 6199, 2121, 3615, 2000, 2004, 1000, 1996, 16021, 27595, 2015, 1000, 1007, 6148, 2000, 4012, 11880, 6869, 4765, 2457, 2000, 2275, 4998, 2019, 2344, 12436, 18252, 2019, 10439, 14995, 12002, 2400, 1012, 1996, 3043, 2003, 2077, 2149, 2006, 2019, 4522, 25697, 3843, 2011, 1996, 2457, 1997, 5574, 1012, 2613, 2283, 1999, 3037, 1006, 2182, 3981, 6199, 2121, 3615, 2000, 2004, 1000, 1996, 16021, 12165, 1000, 1007, 2003, 1996, 3954, 1997, 1037, 3309, 2311, 1010, 2029, 2038, 1037, 4189, 3006, 3643, 1010, 13343, 1996, 3643, 1997, 1996, 2455, 1010, 1997, 1002, 3515, 1010, 2199, 1012, 3188, 2000, 1996, 2543, 3279, 2029, 4504, 1999, 2023, 15382, 1010, 1996, 16021, 12165, 2018, 3734, 2013, 1996, 16021, 27595, 2015, 2543, 5427, 6043, 2517, 1999, 1996, 2662, 3115, 2433, 16250, 2011, 2930, 19843, 2487, 1997, 1996, 5427, 3642, 1012, 1996, 6043, 4838, 2019, 1000, 2779, 11075, 1010, 1000, 4346, 2005, 1037, 10817, 3686, 7312, 1997, 2151, 3279, 4983, 1996, 2311, 2001, 16021, 12165, 2000, 3963, 3867, 1997, 2049, 1000, 5025, 5356, 3643, 1012, 1000, 1031, 1015, 1033, 1996, 6043, 2020, 2517, 1999, 1996, 2561, 3815, 1997, 1002, 3429, 1010, 2199, 1010, 2029, 2003, 3155, 3963, 3867, 1997, 1996, 4189, 3006, 3643, 1997, 1996, 2311, 1012, 1008, 22649, 1996, 4243, 3530, 2008, 1996, 3815, 1997, 1996, 3279, 2001, 1002, 2484, 1010, 9402, 1012, 5709, 1006, 1002, 2423, 1010, 3963, 2475, 1012, 5709, 1010, 1996, 3465, 1997, 10315, 1010, 2625, 1002, 1015, 1010, 5174, 2488, 3672, 1007, 1012, 1996, 16021, 27595, 2015, 1010, 2174, 1010, 4188, 2000, 3477, 2008, 3815, 1010, 27481, 2075, 2008, 1996, 3200, 2001, 12381, 2104, 7076, 12165, 2429, 2000, 1996, 2779, 11075, 1012, 2037, 3399, 2001, 2008, 1000, 5025, 5356, 3643, 1010, 1000, 2004, 2109, 1999, 1996, 3343, 1010, 2515, 2025, 2812, 4189, 3006, 3643, 1010, 2021, 2965, 1996, 6110, 3465, 1997, 1996, 2311, 2625, 2139, 28139, 23247, 1012, 1996, 6110, 3465, 2625, 1037, 9608, 2139, 28139, 23247, 5387, 2003, 3155, 1002, 10894, 1010, 2199, 1012, 1996, 16021, 12165, 27481, 2098, 2008, 1996, 2311, 2001, 12949, 16021, 12165, 1010, 27644, 2008, 1996, 1000, 5025, 5356, 3643, 1000, 3615, 2000, 1999, 1996, 3343, 2965, 4189, 3006, 3643, 1012, 2588, 5157, 2011, 1996, 16021, 27595, 2015, 1010, 10439, 14995, 8043, 2015, 2020, 2805, 1010, 27081, 2000, 1996, 15201, 10439, 14995, 12002, 11075, 4838, 1999, 1996, 3343, 1010, 2005, 1996, 3800, 1997, 2383, 2068, 5646, 1996, 5025, 5356, 3643, 1997, 1996, 2311, 1012, 1031, 1016, 1033, 1996, 10439, 14995, 8043, 2015, 1010, 2044, 2070, 18185, 2426, 3209, 1010, 3970, 1996, 16021, 27595, 2015, 1005, 18974, 2008, 1996, 2744, 1000, 5025, 5356, 3643, 1000, 2965, 6110, 3465, 2625, 2139, 28139, 23247, 1997, 1996, 2311, 1010, 1998, 4340, 2006, 2008, 3978, 2008, 1996, 5025, 5356, 3643, 1997, 1996, 2311, 2001, 1002, 18582, 1010, 5139, 2581, 1012, 2028, 1997, 1996, 10439, 14995, 8043, 2015, 9174, 4340, 2008, 1996, 4189, 3006, 3643, 1997, 1996, 2311, 2001, 1002, 3515, 1010, 2199, 1012, 2013, 1996, 10439, 14995, 8043, 2015, 1005, 9128, 2008, 1996, 5025, 5356, 3643, 2001, 1002, 18582, 1010, 5139, 2581, 1010, 1996, 16021, 27595, 2015, 3253, 2000, 3477, 1002, 2184, 1010, 16666, 2004, 2037, 10817, 1997, 1996, 1002, 2484, 1010, 9402, 1012, 5709, 3279, 8760, 1012, 1031, 1017, 1033, 1996, 16021, 12165, 5837, 1996, 3749, 1998, 22527, 6869, 4765, 2457, 2104, 2930, 11899, 2629, 1997, 1996, 3642, 1997, 2942, 7709, 2000, 12436, 16280, 1996, 10439, 14995, 12002, 2400, 1012, 1031, 1018, 1033, 1996, 3350, 2077, 6869, 4765, 2457, 2511, 9530, 23633, 2135, 2008, 1996, 10439, 14995, 8043, 2015, 2018, 4340, 2004, 1037, 3043, 1997, 2375, 2008, 1996, 3277, 2077, 2068, 2001, 1996, 1000, 6110, 3465, 2625, 2139, 28139, 23247, 1000, 1997, 1996, 2311, 1010, 1998, 2008, 1999, 7194, 2012, 1996, 3643, 3205, 1999, 2037, 2400, 2004, 1000, 5356, 3643, 1010, 1000, 2027, 4188, 2000, 5136, 3318, 1010, 3295, 1010, 2030, 2151, 2060, 7882, 5387, 25069, 2000, 2265, 1008, 28048, 1996, 4189, 3006, 3643, 1997, 1996, 3200, 1010, 2750, 1996, 2755, 2008, 2107, 3350, 2001, 2081, 2800, 2005, 2037, 2224, 1012, 2241, 2588, 2023, 4760, 1010, 6869, 4765, 2457, 3641, 2008, 1996, 2400, 2022, 15348, 27081, 2000, 2930, 11899, 2575, 1012, 1016, 1010, 22095, 1006, 1040, 1007, 1998, 1006, 1041, 1007, 1010, 1997, 1996, 3642, 1997, 2942, 7709, 1010, 2947, 4531, 2011, 25323, 1006, 1015, 1007, 2008, 1996, 10439, 14995, 8043, 2015, 2018, 14872, 2037, 4204, 2011, 29411, 10561, 1037, 3160, 1997, 2375, 1006, 1996, 3574, 1997, 1000, 5025, 5356, 3643, 1000, 1007, 1010, 2029, 2027, 2018, 2025, 2042, 9362, 2000, 5630, 1010, 1998, 1006, 1016, 1007, 2008, 1996, 16021, 12165, 2018, 2042, 12381, 18024, 2094, 2011, 1996, 13948, 1997, 1996, 10439, 14995, 8043, 2015, 2000, 5136, 3430, 3350, 1012, 6869, 4765, 2457, 1010, 1999, 13063, 1037, 2117, 10439, 14995, 12002, 1010, 2856, 2008, 2047, 10439, 14995, 8043, 2015, 1000, 12666, 1996, 3115, 6210, 1997, 4189, 3006, 3643, 1010, 2029, 2003, 22594, 2007, 1996, 1036, 5025, 5356, 3643, 1005, 1999, 2056, 5427, 3343, 1010, 8419, 1010, 1996, 3976, 2008, 1037, 5627, 17634, 2052, 3477, 1037, 5627, 14939, 1010, 4445, 2108, 2104, 2151, 27638, 2000, 5271, 2030, 4965, 1012, 1000, 1006, 1015, 1007, 3980, 1024, 2034, 1012, 2106, 1996, 10439, 14995, 8043, 2015, 1010, 1999, 12515, 1996, 1000, 5025, 5356, 3643, 1000, 1997, 1996, 16021, 12165, 1005, 1055, 2311, 1010, 7919, 2224, 1000, 6110, 3465, 2625, 2139, 28139, 23247, 1000, 1029, 2053, 1012, 1000, 5025, 5356, 3643, 1010, 1000, 2004, 2109, 1999, 2930, 19843, 2487, 1997, 1996, 5427, 3642, 1010, 2003, 22594, 2007, 1000, 4189, 3006, 3643, 1012, 1000, 1006, 2156, 3235, 1058, 1012, 2110, 3888, 14163, 2102, 1012, 8285, 1012, 16021, 1012, 2522, 1012, 1010, 3263, 10250, 1012, 10439, 1012, 14134, 3429, 2683, 1010, 21064, 1031, 2539, 10250, 1012, 1054, 13876, 2099, 1012, 4029, 2549, 1033, 1025, 8099, 1058, 1012, 18854, 16021, 1012, 2522, 1012, 1010, 20713, 10250, 1012, 10439, 1012, 14134, 23688, 1010, 22898, 1011, 23254, 1031, 2324, 10250, 1012, 1054, 13876, 2099, 1012, 13757, 1033, 1012, 1007, 2947, 1010, 1999, 3235, 1010, 1996, 2457, 1997, 5574, 1010, 1999, 9530, 3367, 6820, 2075, 1996, 2930, 1010, 2056, 1024, 1000, 1996, 3279, 3477, 3085, 2006, 2019, 5427, 3343, 2003, 2025, 1996, 3465, 1997, 1996, 2482, 2000, 23953, 2021, 2049, 4189, 3006, 3643, 2074, 3188, 2000, 2049, 6215, 1012, 1000, 1006, 1052, 1012, 21064, 1012, 1007, 1006, 1016, 1007, 2009, 2003, 3154, 2008, 1996, 6372, 2106, 2025, 13566, 1996, 2744, 1000, 5025, 5356, 3643, 1000, 1999, 1996, 3115, 3343, 2433, 1010, 2275, 5743, 1999, 2930, 19843, 2487, 1997, 1996, 5427, 3642, 1010, 2000, 2812, 6110, 3465, 2625, 2139, 28139, 23247, 1012, 1996, 2744, 3544, 2025, 2069, 1999, 1996, 2779, 11075, 1010, 2182, 3981, 5092, 3726, 3615, 2000, 1010, 2021, 2036, 1999, 1996, 16021, 12228, 11075, 1998, 2442, 2022, 2445, 1996, 2168, 3574, 1999, 2119, 1012, 1996, 3732, 11075, 16021, 14900, 1000, 2000, 1996, 6698, 1997, 1996, 5025, 5356, 3643, 1997, 1996, 3200, 2012, 1996, 2051, 1997, 3279, 1010, 2021, 2025, 17003, 1996, 1012, 1012, 1012, 3465, 2000, 7192, 2030, 5672, 1996, 3200, 1012, 1012, 1012, 1012, 1000, 2144, 6110, 3465, 2625, 2139, 28139, 23247, 2064, 2196, 13467, 6110, 3465, 1010, 2009, 2052, 2025, 2022, 11177, 2000, 17841, 2023, 11075, 2000, 2812, 1000, 2000, 1996, 6698, 1997, 1996, 6110, 3465, 2625, 2139, 28139, 23247, 1010, 2021, 2025, 17003, 1996, 1012, 1012, 1012, 3465, 2000, 7192, 2030, 5672, 1996, 3200, 1012, 1000, 1006, 19408, 2794, 1012, 1007, 2065, 1000, 5025, 5356, 3643, 1000, 2018, 2042, 3832, 2000, 2812, 6110, 3465, 2625, 2139, 28139, 23247, 1010, 1996, 6372, 2052, 2025, 2031, 2109, 1000, 1996, 3465, 2000, 1012, 1012, 1012, 5672, 1996, 3200, 1000, 2004, 1037, 14879, 5387, 1010, 1998, 2052, 2031, 9675, 2004, 1037, 14879, 5387, 2069, 1996, 3465, 2000, 7192, 1996, 3200, 1012, 1008, 28203, 1006, 23842, 1007, 2117, 1012, 2106, 6869, 4765, 2457, 2552, 7919, 1999, 12436, 18252, 1996, 10439, 14995, 12002, 2400, 2138, 1996, 10439, 14995, 8043, 2015, 2241, 1996, 2400, 2006, 1037, 28616, 8663, 24422, 1997, 1996, 2375, 1029, 2748, 1012, 2348, 12098, 16313, 16259, 2015, 2024, 4703, 1010, 2011, 1996, 3408, 1997, 1996, 3820, 4346, 2005, 18010, 1010, 3391, 1999, 2810, 8311, 1010, 2445, 5041, 4204, 1006, 2156, 1010, 1041, 1012, 1043, 1012, 1010, 6291, 2050, 1058, 1012, 16913, 15668, 1011, 15159, 1010, 4297, 1012, 1010, 16327, 10250, 1012, 10439, 1012, 14134, 1023, 1010, 2340, 1031, 2603, 10250, 1012, 1054, 13876, 2099, 1012, 2382, 1033, 1010, 2073, 1996, 3206, 3024, 2008, 2151, 6704, 2030, 4447, 17707, 2041, 1997, 1996, 3206, 2020, 2000, 2022, 3876, 2011, 18010, 1007, 1010, 10439, 14995, 8043, 2015, 3227, 2031, 2062, 3132, 4204, 1012, 1006, 1018, 1007, 2004, 3090, 1999, 8099, 1058, 1012, 18854, 16021, 1012, 2522, 1012, 1010, 10514, 18098, 2050, 1010, 20713, 10250, 1012, 10439, 1012, 14134, 23688, 1010, 23254, 1031, 1023, 1033, 1024, 1000, 1996, 3853, 1997, 10439, 14995, 8043, 2015, 2003, 2000, 5646, 1996, 3815, 1997, 4053, 4525, 2000, 2536, 5167, 7864, 2005, 2037, 9584, 1012, 2009, 2003, 5121, 2025, 2037, 3853, 2000, 10663, 3980, 1997, 6325, 1998, 17841, 8910, 1997, 1996, 3343, 1012, 1000, 1006, 1017, 2497, 1007, 2947, 1010, 1999, 1996, 2556, 2553, 1996, 10439, 14995, 8043, 2015, 2020, 9362, 2000, 5646, 2069, 1037, 3160, 1997, 2755, 1010, 8419, 1010, 1996, 5025, 5356, 3643, 1997, 1996, 16021, 12165, 2311, 1012, 1006, 1019, 1007, 2144, 1996, 3350, 3065, 2008, 1996, 10439, 14995, 8043, 2015, 28616, 18447, 2121, 28139, 3064, 1996, 3574, 1997, 1000, 5025, 5356, 3643, 1000, 1998, 3568, 3478, 2000, 5630, 1996, 25854, 3277, 7864, 2000, 2068, 1010, 1996, 16021, 12165, 7919, 24959, 1996, 7360, 1997, 6869, 4765, 2457, 2000, 12436, 16280, 1996, 2400, 1998, 2344, 1037, 2128, 26560, 2075, 1012, 1006, 12935, 1012, 5297, 1058, 1012, 6970, 7076, 25863, 3863, 1010, 17528, 10250, 1012, 10439, 1012, 14134, 6191, 2575, 1010, 4185, 2475, 1010, 4185, 2549, 1031, 3770, 10250, 1012, 1054, 13876, 2099, 1012, 23380, 1033, 1012, 1007, 2004, 3090, 1999, 6240, 16343, 2015, 2334, 2053, 1012, 4724, 2683, 1058, 1012, 21583, 10243, 1012, 1010, 4297, 1012, 1010, 19609, 10250, 1012, 10439, 1012, 14134, 3263, 1010, 19627, 1031, 1020, 1033, 1031, 1022, 10250, 1012, 1054, 13876, 2099, 1012, 6275, 2683, 1033, 1024, 1000, 1012, 1012, 1012, 2009, 2003, 1999, 1996, 9128, 1997, 3251, 1037, 2787, 3277, 2001, 7919, 2077, 1996, 12098, 16313, 16259, 2030, 2019, 3277, 2077, 2032, 2001, 2025, 2787, 1010, 2008, 1996, 3820, 2030, 2344, 1997, 12339, 4212, 2104, 1996, 17423, 1997, 1996, 2457, 1012, 1000, 1006, 19408, 2794, 1012, 1007, 1006, 1020, 1007, 2073, 2019, 10439, 14995, 12002, 2400, 2003, 2241, 2588, 1037, 28616, 8663, 24422, 1997, 1996, 2375, 1010, 2023, 2755, 2089, 2022, 4928, 2000, 1996, 2457, 2011, 4654, 18886, 3619, 2594, 3350, 1010, 2164, 1037, 8170, 1997, 2028, 1997, 1996, 10439, 14995, 8043, 2015, 1012, 1996, 8170, 1997, 2019, 10439, 14995, 8043, 2003, 7919, 2363, 2000, 2265, 2054, 1996, 10439, 14995, 8043, 2015, 2641, 1996, 3277, 2000, 2022, 1010, 2005, 1996, 3800, 1997, 12515, 3251, 2027, 14872, 2037, 4204, 2011, 2437, 2019, 7561, 1997, 2375, 1012, 1006, 2156, 20066, 2361, 1012, 1058, 1012, 6436, 2078, 8151, 1010, 4090, 10250, 1012, 14134, 4868, 2629, 1010, 4720, 2509, 1031, 18164, 1052, 1012, 14134, 22115, 1033, 1025, 5297, 1058, 1012, 6970, 7076, 25863, 3863, 1010, 10514, 18098, 2050, 1010, 17528, 10250, 1012, 10439, 1012, 14134, 6191, 2575, 1010, 4185, 2475, 1011, 4185, 2509, 1012, 1007, 1996, 4522, 25697, 2003, 14374, 1010, 1998, 1996, 9964, 2005, 1037, 23976, 27718, 10253, 25697 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4281, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2002, 4502, 3406, 16882, 2482, 21081, 2863, 1006, 16731, 2278, 1007, 2003, 1996, 2087, 2691, 2828, 1997, 11290, 4456, 1032, 1031, 1031, 1030, 29491, 1033, 1032, 1033, 1998, 2536, 17261, 7047, 2031, 2042, 2764, 2011, 7995, 2006, 1996, 3563, 10722, 20360, 2754, 1998, 2002, 24952, 2278, 8360, 3914, 1032, 1031, 1031, 1030, 1038, 2475, 1033, 1011, 1031, 1030, 1038, 2683, 1033, 1032, 1033, 1012, 1037, 3528, 1997, 9099, 24847, 14482, 13441, 2031, 2042, 3024, 2000, 3572, 2012, 4659, 3935, 5711, 1032, 1031, 1031, 1030, 1038, 2509, 1033, 1032, 1033, 1010, 1998, 2122, 13441, 2020, 5560, 4055, 2046, 1996, 2206, 2093, 2967, 1024, 25283, 1011, 18906, 3334, 4818, 18178, 5302, 6633, 14956, 3989, 1006, 11937, 3401, 1007, 1010, 9099, 24847, 14482, 3514, 2100, 18178, 5302, 6633, 14956, 3989, 1006, 2000, 3401, 1007, 1998, 9099, 24847, 14482, 27144, 1006, 11937, 2278, 1007, 1010, 2241, 2006, 1996, 16593, 1997, 28440, 2002, 24952, 2278, 3914, 1012, 11937, 3401, 7336, 2002, 24952, 2278, 25543, 13341, 2015, 1997, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 4117, 2007, 7861, 14956, 6026, 4475, 1012, 2000, 3401, 2003, 9578, 2019, 25543, 3447, 1997, 1037, 5257, 1997, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 1998, 3514, 2100, 5688, 5396, 1997, 5423, 3695, 3527, 2140, 11087, 8331, 1006, 5911, 19739, 2121, 20915, 1010, 8740, 19666, 4710, 1011, 27411, 1011, 19651, 1010, 2605, 1007, 1010, 2096, 1999, 11937, 2278, 1010, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 2894, 2024, 29592, 2083, 1996, 2002, 24952, 2278, 16749, 1012, 2348, 11937, 3401, 2003, 2069, 1037, 9099, 24847, 14482, 7709, 1010, 2005, 2029, 17261, 21150, 2038, 2042, 4928, 1999, 6721, 5084, 17464, 4758, 2913, 1010, 1996, 26118, 1997, 2002, 24952, 2278, 3914, 2003, 4358, 2012, 2322, 1003, 1011, 1011, 5388, 1003, 1010, 3701, 2138, 1997, 2003, 7507, 23238, 2278, 4053, 2000, 1996, 2512, 11667, 8162, 3560, 4281, 11290, 1032, 1031, 1031, 1030, 29491, 2692, 1033, 1010, 1031, 1030, 29491, 2487, 1033, 1032, 1033, 1010, 1999, 7512, 4892, 1037, 3020, 3891, 1997, 4895, 7011, 6767, 23086, 7312, 1999, 2002, 24952, 2278, 3914, 3853, 1999, 3572, 2007, 3532, 2002, 24952, 2278, 3914, 1012, 3568, 1010, 2000, 4503, 1037, 3647, 1998, 8114, 9099, 24847, 14482, 17261, 7709, 1999, 2107, 3572, 1010, 2060, 4621, 2965, 1997, 4488, 2000, 3401, 1010, 11937, 2278, 1010, 1998, 2000, 3401, 1009, 11937, 2278, 2031, 2042, 7718, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 29491, 2475, 1033, 1011, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1012, 11937, 3401, 1998, 2000, 3401, 2020, 3728, 4102, 1999, 1037, 6721, 5084, 4403, 3523, 3979, 2478, 1062, 5740, 9153, 7629, 2358, 9581, 10278, 2121, 8314, 1999, 5423, 3695, 3527, 2140, 1032, 1031, 1031, 1030, 29491, 2475, 1033, 1032, 1033, 2007, 4745, 25543, 7861, 14956, 3989, 1006, 11937, 3401, 1007, 2030, 2302, 7861, 14956, 3989, 1006, 2000, 3401, 1007, 1012, 5875, 2135, 1010, 1996, 3463, 3662, 2053, 7620, 1999, 7691, 6165, 2011, 4488, 7861, 14956, 3989, 1998, 2000, 3401, 3421, 2000, 2022, 1037, 17261, 5724, 2005, 16731, 2278, 5022, 2007, 2659, 2002, 24952, 2278, 3914, 1012, 2174, 1010, 2048, 2350, 5936, 2007, 2000, 3401, 2024, 1024, 1015, 1007, 1996, 4118, 1997, 11566, 2300, 1011, 2241, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 2007, 3514, 2100, 5423, 3695, 3527, 2140, 1999, 1037, 6540, 20219, 1025, 1998, 1016, 1007, 2008, 2000, 3401, 2003, 4039, 2000, 4539, 2898, 2181, 1997, 1996, 11290, 2004, 2009, 13416, 1996, 2002, 24952, 2278, 25543, 4834, 1010, 2348, 19943, 1010, 2008, 2089, 2765, 1999, 2002, 24952, 2278, 4945, 1012, 2005, 2034, 5142, 1010, 14719, 11514, 20051, 2378, 1010, 1037, 2353, 1011, 4245, 8899, 13819, 2007, 5423, 7361, 19466, 2594, 25175, 27405, 2008, 3596, 1037, 8636, 2007, 5423, 3695, 3527, 2140, 1010, 2001, 3728, 2764, 1998, 4844, 2005, 6612, 2224, 1999, 2900, 2004, 1037, 3117, 18178, 18938, 5886, 24065, 21823, 2278, 4005, 2005, 16731, 2278, 1032, 1031, 1031, 1030, 29491, 2575, 1033, 1011, 1031, 1030, 1038, 17465, 1033, 1032, 1033, 2007, 10015, 3463, 1032, 1031, 1031, 1030, 1038, 19317, 1033, 1011, 1031, 1030, 1038, 18827, 1033, 1032, 1033, 1012, 2005, 2117, 5142, 1010, 2004, 11937, 2278, 5942, 2053, 7861, 14956, 3989, 1010, 2008, 2064, 2022, 19737, 1999, 2898, 2181, 1998, 2049, 3424, 1011, 10722, 20360, 3466, 2038, 2042, 2988, 1999, 2195, 2913, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 29491, 2509, 1033, 1011, 1031, 1030, 29491, 2629, 1033, 1032, 1033, 1010, 2628, 2011, 1996, 10015, 3463, 2013, 1037, 4800, 13013, 2890, 4403, 2462, 2817, 1999, 5022, 2007, 4895, 6072, 22471, 3085, 16731, 2278, 2478, 20199, 24759, 20363, 1006, 3729, 18927, 1007, 1010, 1037, 2034, 1011, 4245, 8899, 4005, 1010, 1999, 2029, 1996, 3433, 3446, 2001, 2680, 2004, 3943, 1012, 1022, 1003, 1032, 1031, 1031, 1030, 29491, 2509, 1033, 1032, 1033, 1010, 2009, 2453, 2022, 4621, 2000, 7438, 2898, 2181, 1997, 1996, 11290, 2007, 3532, 2002, 24952, 2278, 3914, 3853, 1012, 1999, 2804, 1010, 1996, 2034, 1011, 3413, 20504, 2015, 1032, 1031, 1031, 1030, 1038, 17788, 1033, 1032, 1033, 1997, 3729, 18927, 2011, 11937, 2278, 9002, 2000, 1996, 3424, 1011, 13656, 3466, 1998, 9885, 1996, 15316, 22575, 2824, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1032, 1033, 1012, 2144, 3811, 8279, 3729, 18927, 9898, 2005, 11937, 2278, 1006, 20315, 2361, 1011, 1044, 1010, 24264, 1011, 2655, 1034, 1079, 1034, 1025, 19364, 10905, 4817, 2226, 2522, 1012, 1010, 5183, 1007, 2003, 2800, 1999, 2900, 1010, 11937, 2278, 2003, 2085, 4235, 2109, 1999, 2900, 2000, 7438, 3674, 2235, 10722, 20360, 2015, 2030, 5022, 2007, 3532, 2002, 24952, 2278, 3914, 1032, 1031, 1031, 1030, 1038, 2629, 1033, 1010, 1031, 1030, 29491, 2509, 1033, 1010, 1031, 1030, 1038, 23833, 1033, 1032, 1033, 1012, 2241, 2006, 2122, 3463, 1998, 1996, 9849, 1999, 1996, 2458, 1997, 2047, 18178, 18938, 5886, 24065, 21823, 6169, 1010, 2009, 2003, 9608, 2000, 5136, 1996, 5257, 7242, 1997, 3729, 18927, 1011, 11937, 2278, 2007, 14719, 11514, 20051, 2378, 1011, 2000, 3401, 2000, 7438, 3935, 2754, 16731, 2278, 2007, 3532, 2002, 24952, 2278, 3914, 3853, 9689, 1998, 6464, 1012, 3568, 1010, 1999, 2023, 2817, 2057, 4146, 1037, 4403, 1045, 13004, 1011, 9686, 25015, 3508, 2817, 2006, 20315, 2361, 1011, 1044, 1011, 11937, 2278, 2628, 2011, 14719, 11514, 20051, 2378, 1011, 2000, 3401, 2000, 5646, 1996, 4555, 25775, 13004, 1006, 11047, 2094, 1007, 1998, 13004, 1011, 14879, 22423, 1006, 21469, 2102, 1007, 1999, 4895, 6072, 22471, 3085, 16731, 2278, 1012, 1996, 3808, 3277, 2007, 7634, 2000, 1996, 5257, 1997, 2048, 8899, 1011, 2241, 18178, 18938, 5886, 24065, 21823, 2278, 6074, 2097, 2022, 6936, 2011, 28789, 1996, 6887, 27292, 22684, 4939, 16530, 2015, 1997, 8899, 1012, 4725, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 5776, 4989, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 5022, 2007, 16731, 2278, 2020, 2641, 7792, 2005, 1996, 2817, 2065, 2027, 16829, 1996, 2206, 9181, 1024, 2322, 1011, 1011, 3770, 2086, 1997, 2287, 1025, 2012, 2560, 2028, 2033, 28329, 10722, 20360, 16688, 2006, 17076, 26535, 1025, 2010, 3406, 9966, 2135, 1998, 1013, 2030, 6612, 2135, 11441, 16731, 2278, 1025, 2053, 2060, 17261, 3949, 2001, 2179, 2000, 2022, 4621, 2030, 6413, 2000, 2037, 4650, 1010, 2429, 2000, 1996, 2887, 11594, 2005, 16731, 2278, 3949, 1025, 2019, 2789, 10791, 2006, 19824, 2836, 3570, 1997, 1014, 1011, 1011, 1016, 1025, 11706, 2002, 24952, 2278, 3853, 1006, 2775, 1011, 1011, 16405, 5603, 1010, 3556, 1608, 2581, 1025, 2561, 12170, 3669, 6820, 8428, 1010, 1608, 2509, 1012, 1014, 11460, 1013, 21469, 1025, 2201, 2378, 1010, 1609, 2509, 1012, 1014, 1043, 1013, 21469, 1007, 1025, 11706, 5292, 14545, 3406, 9966, 3853, 1006, 11265, 4904, 18981, 19466, 2015, 1010, 1609, 2487, 1010, 3156, 1013, 3461, 1034, 1017, 1034, 1025, 5127, 13461, 1010, 1609, 12376, 1010, 2199, 1013, 3461, 1034, 1017, 1034, 1025, 5292, 6633, 8649, 4135, 8428, 1010, 1609, 2620, 1012, 1014, 1043, 1013, 21469, 1007, 1025, 11706, 25125, 3853, 1006, 13675, 5243, 7629, 3170, 14860, 1010, 1609, 12376, 19875, 1013, 8117, 10426, 2005, 1015, 1012, 6421, 1049, 1034, 1016, 1034, 1997, 2303, 3302, 2181, 1007, 1025, 20194, 6864, 25002, 1010, 1608, 16703, 2549, 1045, 2226, 1013, 21469, 1998, 2019, 13483, 1997, 1018, 3134, 2030, 2062, 2144, 3025, 7242, 1012, 2035, 7293, 16308, 2020, 2557, 9966, 2135, 11441, 2004, 16731, 2278, 2043, 2027, 8510, 2012, 2560, 2028, 1997, 1996, 2206, 9181, 2241, 2006, 14931, 2030, 27011, 1024, 5171, 5292, 6633, 7716, 18279, 22924, 1997, 4556, 16731, 2278, 1006, 6937, 22415, 2076, 25543, 4403, 2628, 2011, 1037, 9378, 5833, 2007, 1005, 21887, 1011, 2066, 1005, 15965, 22415, 1999, 14442, 4403, 1007, 1998, 2714, 6459, 1997, 24873, 9048, 16643, 3070, 7293, 16308, 2008, 2018, 2042, 11441, 2004, 16731, 2278, 1012, 2035, 7792, 16731, 2278, 3572, 2020, 28667, 29264, 2007, 1037, 2381, 1997, 3729, 18927, 3447, 1999, 2809, 5022, 1012, 5022, 2007, 1996, 2206, 6459, 2020, 2641, 22023, 1024, 5294, 20228, 11236, 2389, 1041, 4246, 14499, 1998, 1013, 2030, 2004, 17847, 2015, 25416, 22648, 7062, 2000, 3949, 1025, 3161, 4456, 2060, 2084, 16731, 2278, 1025, 3161, 16514, 4295, 1025, 3161, 5292, 6633, 2953, 25032, 22974, 2278, 2110, 1025, 5729, 5177, 8761, 1025, 2002, 24952, 2278, 4372, 3401, 21890, 4135, 20166, 1025, 2381, 1997, 27395, 4668, 2000, 22834, 10672, 4403, 5688, 1998, 1013, 2030, 8899, 6074, 1025, 7552, 6970, 7512, 2239, 7242, 1998, 7669, 2007, 8700, 2833, 13822, 1012, 2023, 2817, 2001, 4844, 2011, 1996, 12148, 3319, 2604, 1997, 9152, 13340, 2696, 2118, 2902, 1998, 2001, 5068, 2007, 1996, 2118, 2902, 2966, 2592, 2897, 6612, 7012, 15584, 1006, 8529, 2378, 1011, 14931, 2099, 2199, 8889, 19481, 23632, 1007, 1012, 2517, 6727, 9619, 2001, 4663, 2013, 2035, 5022, 1998, 1996, 2817, 8778, 23758, 2098, 2000, 1996, 12962, 8606, 1997, 1996, 3339, 8170, 1997, 12331, 1012, 4118, 1997, 3447, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3729, 18927, 9898, 1010, 20315, 2361, 1011, 1044, 1006, 19364, 10905, 4817, 2226, 2522, 1012, 1010, 5183, 1012, 5522, 1010, 2900, 1007, 1010, 2001, 14017, 12083, 21758, 1999, 28413, 2012, 1037, 6693, 1997, 2531, 11460, 1013, 3963, 19875, 3202, 2077, 2224, 1998, 29592, 2046, 1996, 2972, 11290, 2083, 1996, 5372, 2002, 24952, 2278, 16749, 2012, 1037, 3446, 1997, 14010, 19875, 1013, 1044, 1010, 4346, 1999, 2561, 3486, 11460, 1013, 1049, 1034, 1016, 1034, 1012, 2023, 2001, 2628, 2011, 2000, 3401, 2007, 14719, 11514, 20051, 2378, 1010, 4810, 2429, 2000, 1996, 8128, 1010, 2083, 1996, 26780, 6470, 1997, 1996, 4539, 10722, 20360, 2478, 1037, 29160, 13004, 4760, 7978, 11987, 9445, 9607, 2039, 2000, 1037, 3872, 1997, 1020, 19875, 1012, 2065, 2053, 21469, 2102, 2001, 2680, 1010, 1996, 2168, 6939, 2078, 2001, 3344, 2041, 2011, 4852, 20315, 2361, 1011, 1044, 2011, 2321, 11460, 1013, 1049, 1034, 1016, 1034, 1010, 2241, 2006, 1996, 6310, 10882, 11735, 6305, 6895, 4118, 1999, 2029, 21469, 2102, 2003, 4225, 2004, 15316, 2824, 1997, 3694, 1609, 2509, 1999, 2512, 25293, 18900, 10091, 2030, 3694, 1609, 2549, 1999, 5292, 14545, 3406, 9966, 22423, 1010, 2429, 2000, 1996, 13316, 2072, 1011, 14931, 3540, 2063, 2544, 1018, 1012, 1014, 1012, 2065, 2151, 1997, 1996, 2093, 5022, 3662, 2004, 2383, 21469, 2102, 1010, 2093, 2062, 5022, 2020, 8302, 1012, 11047, 2094, 2001, 13224, 2000, 2031, 2042, 14872, 2043, 2048, 5022, 3662, 21469, 2102, 1012, 11047, 2094, 2001, 4225, 2004, 1996, 4555, 13004, 2073, 2053, 2062, 2084, 2048, 1997, 1996, 2416, 5022, 5281, 21469, 2102, 1012, 2065, 2048, 2030, 2062, 3572, 2020, 2525, 6114, 2013, 21469, 2102, 2012, 1996, 3988, 13004, 1997, 3486, 11460, 1013, 1049, 1034, 1016, 1034, 1010, 2023, 13004, 2001, 4359, 2011, 2184, 11460, 1013, 1049, 1034, 1016, 1034, 2000, 2321, 11460, 1013, 1049, 1034, 1016, 1034, 1012, 9312, 1997, 3424, 1011, 10722, 20360, 3896, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3424, 1011, 10722, 20360, 3433, 2001, 16330, 2013, 14931, 4871, 4663, 2077, 1998, 1017, 2706, 2044, 3949, 1012, 9312, 2001, 2864, 1999, 10388, 2007, 1996, 6310, 3433, 9312, 9181, 1999, 5024, 21434, 1006, 28667, 2923, 1007, 5009, 4179, 1010, 1037, 2047, 3433, 9312, 9181, 1999, 5024, 10722, 20360, 2015, 1032, 1031, 1031, 1030, 1038, 22907, 1033, 1032, 1033, 1012, 1996, 10722, 20360, 16387, 1997, 21358, 2361, 1998, 5887, 2361, 2020, 2628, 2012, 6413, 2051, 6993, 2005, 2169, 5776, 1012, 8899, 6887 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 6353, 2683, 1042, 1012, 10514, 9397, 1012, 2753, 2620, 1006, 2997, 1007, 1048, 1012, 1046, 1012, 1010, 2019, 10527, 1010, 2011, 1998, 2083, 2010, 2279, 2767, 1010, 14076, 23686, 18243, 2099, 1010, 3802, 2632, 1012, 1010, 23953, 1010, 1058, 1012, 7920, 3742, 28234, 1010, 4385, 1012, 1010, 3802, 2632, 1012, 1010, 16362, 1012, 25022, 2615, 1012, 2053, 1012, 1046, 2232, 1011, 6391, 1011, 17422, 2683, 1012, 2142, 2163, 2212, 2457, 1010, 1040, 1012, 5374, 1012, 2244, 2676, 1010, 2997, 1012, 1008, 2753, 2683, 2520, 1048, 1012, 24287, 1010, 19180, 27838, 7770, 17140, 1010, 1998, 1996, 3423, 4681, 4879, 1010, 4297, 1012, 1010, 6222, 1010, 9108, 1012, 1010, 8594, 1054, 1012, 2175, 27959, 7432, 1010, 1998, 1996, 2336, 1005, 1055, 3639, 4636, 1010, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 11265, 19510, 2102, 12872, 1010, 3781, 1012, 1010, 4829, 1038, 1012, 24873, 1010, 3523, 1010, 1998, 2317, 3877, 1010, 4202, 1004, 8475, 1010, 6222, 1010, 9108, 1012, 1010, 2005, 23953, 1012, 1046, 1012, 3312, 19649, 1010, 3781, 1012, 1010, 2012, 3723, 1012, 8991, 1012, 1997, 5374, 1010, 6615, 1049, 1012, 22378, 1998, 2928, 1046, 1012, 4482, 1010, 4632, 2102, 1012, 2012, 3723, 2015, 1012, 8991, 1012, 1010, 6222, 1010, 9108, 1012, 1010, 2005, 16362, 1012, 20336, 3312, 1039, 1012, 4922, 1010, 2212, 3648, 1012, 14223, 2077, 1996, 2457, 2003, 2023, 2942, 2916, 2465, 2895, 2716, 2011, 6469, 2336, 1999, 1996, 2729, 1998, 9968, 1997, 1996, 6222, 2103, 2533, 1997, 2591, 2578, 1006, 1000, 4647, 5104, 2015, 1000, 1007, 1012, 2315, 2004, 16362, 2024, 7920, 3742, 28234, 1010, 3187, 1997, 5374, 1005, 1055, 2533, 1997, 2529, 4219, 1010, 4647, 5104, 2015, 1010, 1998, 2536, 6469, 1011, 2729, 4584, 1012, 2122, 2336, 2035, 24746, 2008, 1996, 16362, 1005, 3447, 1997, 1996, 6469, 2729, 2291, 1999, 6222, 2103, 23640, 2015, 2037, 2916, 2104, 2976, 15201, 2375, 1010, 4486, 4921, 1011, 1041, 1998, 4921, 1011, 1038, 1997, 1996, 2591, 3036, 2552, 1010, 1998, 1996, 15276, 7450, 2000, 1996, 2142, 2163, 4552, 1012, 1996, 2465, 11014, 1041, 28298, 4335, 1999, 1996, 2433, 1997, 2019, 27352, 22928, 2008, 2052, 5478, 8818, 1997, 1996, 6469, 2729, 2291, 1012, 1999, 2804, 2000, 2122, 1041, 28298, 4447, 1010, 2070, 2315, 2465, 4505, 6148, 12194, 12394, 2005, 7386, 2015, 9382, 4265, 2096, 1999, 1996, 16362, 1005, 2729, 1012, 1996, 6234, 3043, 2104, 9584, 2003, 3251, 1037, 9619, 10037, 3818, 2011, 1996, 4243, 2004, 4093, 1997, 1996, 1041, 28298, 4447, 2003, 4189, 1998, 11706, 1998, 8558, 22617, 1996, 2457, 1005, 1055, 6226, 1012, 1031, 1015, 1033, 2044, 1996, 3818, 10037, 2001, 7864, 2006, 2258, 2656, 1010, 2997, 1010, 1996, 2457, 2777, 2007, 1996, 4243, 1010, 2856, 2008, 5060, 2022, 3024, 1996, 2465, 2372, 1998, 4699, 5381, 1010, 2218, 1037, 4994, 2012, 2029, 2216, 3024, 5060, 2020, 4778, 2000, 2556, 17304, 2030, 7928, 1010, 1998, 2777, 2007, 6469, 2729, 3667, 2000, 4553, 2037, 5328, 1997, 1996, 10037, 1012, 2044, 6503, 1997, 2122, 5761, 1998, 6176, 2817, 1997, 1996, 10037, 1010, 1996, 2457, 14300, 2015, 1996, 10037, 2005, 1996, 4436, 3024, 2917, 1012, 1008, 23475, 1045, 1012, 1996, 2381, 1997, 2023, 2895, 2003, 2146, 1998, 12098, 8566, 3560, 1012, 2144, 1996, 12087, 2001, 6406, 1999, 2285, 1010, 3118, 1010, 1996, 2457, 2038, 3843, 2058, 10920, 4449, 1998, 2218, 1037, 6474, 3570, 9281, 2007, 1996, 4243, 1012, 1996, 8946, 3388, 1010, 2085, 9171, 5530, 2146, 1010, 7201, 2058, 2048, 3634, 10445, 1012, 2006, 2254, 1016, 1010, 3055, 1010, 1996, 2457, 4379, 1037, 4367, 2000, 18793, 2008, 2018, 2042, 6406, 1996, 3025, 2281, 2011, 2048, 3176, 3818, 2465, 4505, 1012, 2008, 2168, 2154, 1996, 2457, 7378, 1037, 2465, 3605, 1997, 2035, 2336, 2040, 2024, 1010, 2031, 2042, 1010, 2030, 2097, 2022, 2872, 1999, 6469, 5014, 2011, 1996, 4647, 5104, 2015, 1998, 2024, 2030, 2097, 2022, 2872, 1999, 1996, 9968, 1997, 1996, 4647, 5104, 2015, 2083, 10758, 11073, 2030, 2457, 2344, 1012, 2006, 2337, 1020, 1010, 2044, 9283, 4866, 5456, 1010, 2164, 1037, 6721, 16227, 1997, 4647, 5104, 2015, 6469, 2729, 2553, 2636, 1010, 1996, 23953, 6406, 1037, 4367, 2005, 1037, 8824, 22928, 1012, 1037, 4994, 2006, 1996, 4367, 2001, 2218, 2058, 1037, 2558, 1997, 2048, 3134, 25819, 2006, 2258, 1016, 1010, 3055, 1012, 2070, 6205, 3584, 5167, 1997, 3350, 2020, 3107, 1010, 1998, 1996, 2457, 2657, 2013, 2260, 9390, 1012, 2426, 1996, 5167, 1997, 3350, 2020, 1996, 8824, 3463, 1997, 23953, 1005, 6721, 16227, 1997, 2553, 2636, 1010, 4838, 1999, 2195, 4317, 6065, 19213, 14187, 2545, 1012, 1996, 9390, 2443, 2019, 6739, 2006, 1996, 2470, 16134, 2109, 1999, 9283, 1996, 23953, 1005, 2817, 1012, 1031, 1016, 1033, 1996, 2457, 2036, 2657, 1996, 10896, 1997, 9064, 1998, 8519, 4953, 1996, 3572, 1997, 7032, 2336, 2040, 2018, 2042, 8949, 15486, 1998, 16999, 2096, 1999, 16362, 1005, 2729, 1998, 9968, 1012, 1996, 2457, 2179, 10827, 3350, 1997, 3809, 11778, 13366, 28227, 1999, 6222, 1005, 1055, 6469, 2729, 2565, 2107, 2008, 6469, 2336, 2052, 9015, 20868, 2890, 28689, 3468, 7386, 2065, 6234, 1999, 19792, 15277, 4335, 2020, 2025, 4379, 1998, 1010, 1999, 1037, 20336, 1998, 2344, 3843, 2251, 2676, 1010, 3055, 1010, 4379, 23953, 1005, 4367, 2005, 1037, 8824, 22928, 1012, 1031, 1017, 1033, 4919, 1010, 2426, 2049, 9556, 1010, 1996, 2457, 4340, 2008, 2045, 2001, 1037, 3768, 1997, 23045, 6469, 5014, 1025, 2008, 1996, 16362, 3478, 2000, 6366, 2336, 2013, 5014, 2073, 3558, 1998, 6832, 6905, 1998, 19046, 2020, 5561, 1025, 2008, 5014, 2020, 7000, 2073, 6469, 3008, 2020, 4039, 2000, 2729, 7919, 2005, 1996, 2336, 1025, 2008, 1000, 11790, 1000, 2020, 4379, 4352, 4415, 14710, 5014, 2000, 3961, 2330, 1025, 2008, 1996, 2291, 2005, 4346, 2966, 2729, 2000, 6469, 2336, 2001, 14710, 2000, 5676, 7142, 1998, 6727, 3949, 1025, 1998, 2008, 1996, 16362, 2018, 12381, 3478, 2000, 16617, 1996, 8377, 6749, 2011, 2019, 4722, 2817, 2550, 2011, 1996, 1000, 5671, 4708, 2486, 1012, 1000, 2004, 8824, 1999, 19792, 15277, 4335, 1010, 1996, 16362, 2020, 3641, 2000, 1006, 1015, 1007, 3319, 1996, 3570, 1997, 2169, 6469, 2188, 2073, 2045, 2018, 2042, 1037, 3189, 1997, 15451, 7913, 4017, 3672, 1025, 1006, 1016, 1007, 3942, 2169, 2775, 1999, 1037, 4647, 5104, 2015, 6469, 2188, 2006, 1037, 7058, 3978, 1025, 1006, 1017, 1007, 3942, 2169, 2775, 2040, 2018, 2042, 1996, 3395, 1997, 1037, 3189, 1997, 15451, 7913, 4017, 3672, 2006, 1037, 4882, 3978, 1025, 1006, 1018, 1007, 23911, 7182, 3095, 1998, 4219, 2000, 5676, 6413, 2966, 2729, 2001, 10155, 1998, 2966, 15215, 2020, 4663, 1998, 3024, 2000, 2216, 14259, 2966, 2729, 2000, 2169, 2775, 1025, 1998, 1006, 1019, 1007, 3073, 1037, 2517, 6100, 1997, 2151, 12087, 1997, 15451, 7913, 4017, 3672, 1997, 1037, 6469, 2775, 2000, 1996, 11799, 2457, 1998, 1996, 2775, 1005, 1055, 4905, 1012, 2006, 2337, 1015, 1010, 2997, 1010, 1996, 2959, 4984, 19768, 2023, 2457, 1005, 1055, 3247, 2000, 3946, 23953, 1037, 8824, 22928, 1012, 2156, 1048, 1012, 1046, 1012, 2011, 1998, 2083, 18243, 2099, 1058, 1012, 3742, 28234, 1010, 1008, 4868, 2487, 6640, 2620, 1042, 1012, 14134, 12963, 1006, 4343, 25022, 2099, 1012, 2997, 1007, 1012, 1031, 1018, 1033, 6920, 1010, 1996, 4243, 5117, 1999, 4866, 4093, 7776, 1012, 2006, 2258, 2656, 1010, 2997, 1010, 3155, 2048, 1998, 1037, 2431, 2706, 3188, 2000, 3979, 1010, 1996, 4243, 7864, 1996, 3818, 4093, 1997, 23953, 1005, 1041, 28298, 4447, 2085, 2077, 1996, 2457, 1012, 1996, 9619, 10037, 2008, 7861, 5092, 18389, 1996, 4093, 14567, 12381, 2216, 5761, 3641, 2011, 1996, 2457, 2004, 8824, 1999, 19792, 15277, 4335, 1012, 2009, 2036, 11014, 2000, 2191, 6937, 8377, 1999, 2195, 5919, 1997, 1996, 6469, 2729, 2291, 2164, 6885, 6537, 2006, 1996, 2193, 1997, 3572, 1037, 7309, 2089, 2022, 3625, 2005, 1010, 9229, 1996, 2291, 2005, 4346, 2966, 3949, 2000, 6469, 2336, 1010, 4346, 5375, 2000, 3019, 3008, 2008, 2052, 3499, 2336, 2000, 3961, 2007, 2068, 8558, 9992, 6469, 2729, 2073, 2825, 1010, 1998, 4346, 2005, 1037, 22961, 1997, 6413, 6469, 2729, 11073, 2015, 2164, 1996, 15680, 1997, 2047, 6469, 5014, 1012, 2367, 8377, 2024, 2000, 2022, 7528, 2012, 2367, 2335, 1025, 2174, 1010, 2035, 8377, 2024, 2000, 2022, 2081, 2306, 2048, 2086, 1012, 2044, 8824, 2817, 1997, 1996, 10037, 1998, 3116, 2007, 1996, 4243, 1010, 1996, 2457, 4340, 2008, 1996, 10037, 2001, 2306, 1996, 2846, 1997, 9608, 2791, 1998, 4844, 1037, 1000, 5060, 1997, 3818, 4093, 1997, 2465, 2895, 1000, 2006, 2089, 2539, 1010, 2997, 1012, 2462, 1012, 2104, 7349, 1012, 1054, 1012, 25022, 2615, 1012, 1052, 1012, 2603, 1006, 1041, 1007, 1010, 5060, 1997, 4093, 1997, 1037, 2465, 2895, 1000, 4618, 2022, 2445, 2000, 2035, 2372, 1997, 1996, 2465, 1999, 2107, 5450, 2004, 1996, 2457, 23303, 1012, 1000, 1996, 2457, 2856, 2008, 1996, 4844, 5060, 1997, 4093, 1010, 2029, 4838, 1037, 6851, 12654, 1997, 1996, 3818, 10037, 1010, 2022, 2741, 2000, 2035, 6469, 3008, 1010, 2035, 9064, 2007, 3183, 2336, 2018, 2042, 2872, 2011, 4647, 5104, 2015, 1010, 1998, 2035, 6897, 3008, 1997, 2336, 2040, 2018, 2042, 2872, 1999, 6469, 5014, 2030, 2007, 9064, 2006, 2030, 2077, 2238, 1022, 1010, 2997, 1012, 1996, 2457, 2036, 3641, 2008, 1996, 5060, 2022, 6866, 2012, 2151, 4647, 5104, 2015, 2436, 24832, 2011, 6469, 3008, 2030, 2011, 1996, 3019, 3008, 1997, 6469, 2336, 1012, 1996, 2440, 5060, 1997, 4093, 2036, 2001, 5653, 2098, 2000, 1996, 4641, 1997, 4411, 2124, 2000, 5050, 6469, 2336, 2030, 2124, 2000, 2031, 2019, 3037, 1999, 6469, 2729, 3314, 1012, 1031, 1019, 1033, 1999, 2804, 2000, 1996, 5653, 2075, 1998, 14739, 1997, 1996, 2440, 5060, 1010, 1037, 2457, 1011, 4844, 12066, 5060, 2001, 2405, 2274, 2335, 1999, 2176, 3679, 6399, 1012, 1031, 1020, 1033, 1996, 14444, 6727, 4699, 4243, 2008, 2027, 2071, 4874, 2000, 1996, 10037, 2012, 1037, 4994, 2218, 2006, 2251, 2324, 1010, 2997, 1012, 2216, 4699, 1999, 19919, 2075, 2012, 1996, 4994, 2020, 2409, 2000, 12040, 2517, 8635, 2000, 1996, 2457, 2011, 2251, 1022, 1025, 2174, 1010, 2012, 1996, 4994, 2035, 2020, 4778, 2000, 19919, 7539, 1997, 3251, 2008, 9095, 2018, 2042, 2777, 1012, 2012, 1996, 4994, 1010, 1037, 2561, 1997, 2702, 2111, 14914, 1012, 2122, 2443, 6469, 3008, 1010, 3019, 3008, 1010, 1037, 14056, 2005, 1037, 2586, 2029, 5836, 2070, 6469, 2729, 3667, 1010, 1037, 2280, 6469, 2775, 1010, 1998, 1996, 3129, 1997, 1037, 6469, 2729, 7309, 1012, 3904, 1997, 2216, 2040, 14914, 15959, 2000, 1996, 10037, 1012, 1996, 6469, 3008, 5228, 5142, 2055, 1996, 2291, 2005, 4346, 2966, 2578, 2000, 6469, 2336, 1012, 1996, 2280, 6469, 2775, 2409, 1996, 2457, 2008, 2016, 2018, 2042, 16999, 1998, 16709, 14701, 2096, 2016, 2001, 1999, 1996, 16362, 1005, 2729, 1010, 1998, 2016, 2356, 1996, 2457, 2000, 10408, 1996, 10037, 2004, 2574, 2004, 2825, 1012, 1996, 2586, 4387, 5228, 5142, 2007, 2070, 8910, 1998, 18168, 14643, 8496, 1997, 1996, 10037, 1025, 2174, 1010, 2002, 2056, 2008, 1996, 2586, 1005, 1055, 6469, 2729, 7309, 2372, 3227, 3569, 1996, 10037, 1012, 2119, 1996, 2586, 4387, 1998, 1996, 6469, 2729, 7309, 1005, 1055, 3129, 9720, 1996, 2457, 2000, 3113, 9139, 2007, 1996, 6469, 2729, 1008, 24406, 3667, 1010, 2040, 2106, 2025, 4299, 2000, 4671, 2151, 19628, 7271, 1012, 2061, 2008, 1996, 2457, 2071, 2963, 1996, 5328, 1997, 1996, 2111, 2040, 2052, 10408, 1996, 10037, 2006, 1037, 2154, 1011, 2000, 1011, 2154, 3978, 1010, 2019, 2125, 1996, 2501, 3116, 2007, 6469, 2729, 3667, 2001, 2218, 2006, 2257, 1017, 1010, 2997, 1010, 2007, 9517, 2556, 1012, 2076, 2008, 3116, 1010, 1996, 3667, 5228, 2195, 5936, 1012, 1999, 3327, 1010, 1996, 6469, 2729, 3667, 3090, 2008, 2027, 2411, 3604, 5606, 1997, 2661, 2566, 3204, 1998, 2356, 2008, 5193, 14895, 2015, 2022, 4846, 2011, 4647, 5104, 2015, 2000, 6509, 2068, 1012, 2027, 2036, 2056, 2008, 1037, 4770, 1997, 5741, 6469, 2729, 3667, 2323, 2022, 2800, 2000, 6509, 2043, 1037, 7309, 2003, 5665, 2030, 2006, 10885, 1012, 1996, 6469, 2729, 3667, 2036, 2356, 2008, 2027, 2022, 8916, 1037, 2535, 1999, 1996, 7375, 1998, 8822, 1997, 1996, 10037, 1012, 3523, 1012, 1996, 2457, 1005, 1055, 6226, 1997, 1037, 3818, 4093, 2003, 3223, 1999, 2344, 2000, 4047, 1996, 3037, 1997, 9962, 2465, 2372, 1012, 24624, 14905, 5740, 1058, 1012, 8925, 1010, 19827, 1042, 1012, 14134, 7558, 2575, 1010, 14078, 2581, 1006, 4833, 25022, 2099, 1012, 1007, 1010, 8292, 5339, 1012, 6380, 1010, 4008, 2683, 1057, 1012, 1055, 1012, 7886, 2487, 1010, 7886, 1055, 1012, 14931, 1012, 5179, 2620, 1010, 5764, 1048, 1012, 3968, 1012, 14134, 4805, 2683, 1006, 3150, 1007, 1025, 24665, 19496, 2078, 1058, 1012, 2248, 2160, 1997, 28470, 1010, 4868, 2509, 1042, 1012, 14134, 12457, 1010, 13138, 1006, 5893, 25022, 2099, 1012, 1007, 1010, 8292, 5339, 1012 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2585, 2848, 14425, 4477, 2585, 2848, 14425, 4477, 11338, 1006, 2484, 2281, 4529, 1516, 1019, 2244, 2541, 1007, 2001, 1037, 2548, 9622, 2961, 2040, 2001, 7267, 1997, 2162, 12481, 1999, 3147, 8838, 3317, 2076, 1996, 2117, 2088, 2162, 1012, 2002, 2101, 2366, 2004, 1996, 7991, 2961, 1997, 2871, 15054, 1010, 1998, 2001, 1037, 7799, 1997, 1996, 2510, 2892, 1012, 2220, 2166, 2585, 2848, 14425, 4477, 2001, 2141, 2012, 8117, 8977, 2534, 1010, 26261, 13112, 8117, 8977, 1010, 5982, 2006, 2484, 2281, 4529, 1012, 2002, 2001, 1996, 2353, 2365, 1997, 2350, 9586, 14425, 4477, 11338, 1998, 9984, 5953, 1012, 2002, 2001, 5161, 2012, 18174, 1012, 2510, 2476, 4477, 2587, 1996, 2548, 9622, 1999, 4347, 1998, 2979, 2041, 2012, 3066, 1010, 5982, 1010, 2074, 2077, 1996, 8293, 1997, 2088, 2162, 2462, 1012, 2006, 1016, 13114, 3878, 2002, 2001, 2081, 19703, 5649, 3812, 1012, 2002, 2001, 6866, 2000, 1996, 3082, 10844, 24248, 5380, 2105, 10399, 1012, 1996, 7735, 2001, 18897, 5819, 2012, 8040, 22068, 4834, 2006, 2385, 2233, 3878, 1998, 2741, 2000, 1996, 12085, 2005, 7192, 1012, 4477, 2001, 2417, 13699, 4135, 20821, 2000, 16727, 1010, 2073, 2002, 2001, 3479, 2005, 1996, 23116, 2486, 2004, 2112, 1997, 1996, 2022, 2546, 1012, 23116, 4477, 2001, 2112, 1997, 2952, 25844, 2457, 6610, 1005, 1055, 2194, 1997, 5594, 2548, 9622, 2029, 5565, 2012, 23116, 3859, 2044, 7090, 2006, 2423, 2089, 3878, 1012, 2007, 2028, 2060, 2961, 1010, 8318, 6621, 5503, 1010, 2027, 2020, 5338, 2007, 5094, 2413, 9622, 2000, 6985, 1996, 3418, 15364, 2012, 1996, 2803, 1997, 1996, 2237, 1012, 2045, 2027, 2020, 4457, 2011, 1996, 2440, 2453, 1997, 8418, 2595, 16946, 3650, 1998, 1010, 2011, 2220, 3944, 1010, 2020, 5129, 1998, 2041, 1997, 9290, 1012, 4477, 2001, 2101, 3855, 1999, 18365, 2229, 2005, 2010, 1000, 8424, 1998, 13347, 2000, 4611, 1000, 1999, 3868, 2039, 1998, 2091, 1996, 3509, 2000, 2562, 2010, 3131, 1005, 1055, 3698, 12734, 8127, 2007, 9290, 1012, 2027, 2018, 4061, 2007, 2107, 6819, 3995, 3126, 2008, 1996, 2880, 2446, 2501, 3191, 1010, 1000, 1996, 4099, 3957, 1996, 8605, 1997, 2108, 4840, 1010, 1998, 3849, 2000, 2031, 2363, 14214, 2044, 2048, 2420, 1997, 3082, 3554, 1012, 1000, 2750, 2037, 4073, 1010, 2306, 2048, 2420, 23116, 2018, 2042, 10795, 2000, 1996, 7074, 1010, 1998, 1996, 2329, 3629, 1010, 2164, 4477, 1010, 2579, 7267, 1012, 7267, 1997, 2162, 1996, 4110, 3629, 2020, 9847, 2083, 2642, 2605, 1010, 1996, 26225, 5267, 1998, 25487, 2000, 19876, 1012, 2013, 2045, 1010, 2027, 2020, 2333, 2006, 2000, 21360, 18940, 3409, 1999, 11606, 1010, 2059, 4015, 2000, 14841, 4779, 8202, 2075, 1012, 1996, 2548, 9622, 3738, 2020, 2333, 2000, 9388, 17802, 6151, 23689, 8490, 13926, 2112, 1997, 2358, 7911, 2290, 1060, 1011, 1038, 2012, 5472, 15853, 9834, 1010, 2073, 2027, 2574, 2318, 4041, 2037, 4019, 1012, 5503, 1010, 4477, 1005, 1055, 3507, 3884, 2961, 1010, 2001, 8580, 2007, 2032, 1998, 1010, 2058, 1996, 3467, 1997, 3874, 1516, 4413, 1010, 1996, 2048, 2273, 2150, 3813, 2814, 1012, 2007, 1037, 2193, 1997, 8628, 2027, 10141, 1010, 2881, 1998, 2328, 2011, 2192, 1037, 17743, 1997, 2329, 3330, 1516, 1037, 22582, 1011, 4220, 1011, 2146, 5234, 1010, 3143, 2007, 2717, 3016, 1010, 3751, 7497, 1998, 2250, 4834, 2291, 1010, 2004, 2092, 2004, 1037, 21919, 5080, 2000, 11582, 1997, 1996, 3921, 1997, 2741, 5134, 1012, 2058, 2531, 6197, 1997, 5800, 2001, 15199, 1998, 14091, 2104, 1037, 12570, 1012, 2006, 1021, 2258, 3758, 4477, 1010, 5503, 1998, 2184, 2060, 3738, 2081, 2037, 4019, 1012, 2044, 2260, 2420, 2006, 1996, 2448, 1010, 5503, 1998, 4477, 2020, 4110, 2379, 13109, 28812, 1010, 2306, 1037, 2261, 3634, 4210, 1997, 1996, 5695, 3675, 1012, 2044, 1037, 4766, 6297, 2067, 2012, 5472, 15853, 9834, 1010, 1996, 3940, 6376, 1010, 2023, 2051, 2011, 8660, 7548, 1037, 3827, 8840, 12244, 1010, 2021, 2020, 23838, 2012, 8719, 2737, 2276, 2011, 1996, 2446, 2610, 1012, 2027, 2020, 4015, 2000, 2358, 7911, 2290, 9937, 1011, 1038, 1999, 16983, 16150, 16347, 1010, 21872, 1010, 1037, 3827, 3409, 2005, 1000, 2060, 6938, 1000, 1012, 2037, 2994, 6354, 2069, 1037, 2261, 2706, 1012, 4477, 2001, 2179, 18737, 2013, 1037, 3332, 2306, 5282, 1997, 1037, 24845, 2075, 3457, 3899, 1010, 1998, 2048, 1997, 4477, 1005, 1055, 8628, 2020, 2036, 3236, 13002, 1012, 1996, 28616, 16748, 11390, 2020, 7680, 7849, 6588, 21319, 2000, 3147, 8838, 3317, 1012, 3147, 8838, 1999, 2220, 2257, 3758, 5503, 1998, 4477, 3369, 2012, 3147, 8838, 3317, 1006, 2059, 7267, 1997, 2162, 3409, 1997, 17802, 4921, 1011, 1039, 1007, 1010, 2073, 3507, 14516, 4019, 2229, 2020, 3811, 5117, 1999, 4041, 2062, 12976, 1010, 1998, 4477, 2001, 2574, 2920, 1999, 1996, 2536, 3934, 1012, 1996, 2093, 2548, 3884, 3738, 1006, 14408, 2457, 6610, 1010, 2037, 2194, 3474, 2012, 23116, 1010, 2001, 2036, 2012, 3147, 8838, 1007, 2018, 1037, 5891, 2005, 16534, 1998, 2204, 17211, 1010, 1998, 4477, 2001, 3264, 2004, 2108, 3391, 22430, 1010, 1037, 14516, 16371, 28138, 2000, 2010, 14408, 5668, 1998, 8053, 19142, 2000, 2010, 8628, 1012, 2002, 2320, 10312, 1996, 6178, 1997, 1996, 2446, 2961, 2040, 2001, 16258, 8630, 2075, 2006, 1996, 22617, 1997, 10304, 2076, 1037, 3315, 3944, 1012, 2178, 5043, 2130, 2081, 1996, 7074, 4756, 2043, 1010, 2397, 2005, 1037, 4897, 1011, 2655, 1010, 2002, 2170, 11374, 21272, 2135, 2013, 1037, 3317, 3332, 2000, 1996, 7700, 2917, 1000, 1045, 1005, 2222, 2272, 2091, 1998, 3693, 2017, 2035, 1999, 1037, 3371, 1000, 1012, 1999, 2255, 3826, 3505, 11881, 2001, 3236, 2076, 1996, 15236, 8965, 12947, 4019, 1012, 2348, 11881, 2018, 10795, 1010, 2002, 2001, 2915, 2012, 2485, 2846, 2011, 1037, 2446, 2961, 1012, 4477, 1010, 2247, 2007, 2116, 2060, 9390, 1010, 3373, 2010, 2767, 2000, 2022, 2757, 1998, 6626, 1000, 2446, 28882, 999, 1000, 1012, 2002, 2001, 3525, 7331, 2012, 1037, 2457, 7761, 2000, 2048, 2706, 1999, 24665, 19513, 2368, 2480, 2510, 3827, 1012, 5659, 2086, 2101, 1010, 2070, 2382, 3738, 1998, 2037, 10403, 2081, 1037, 2709, 3942, 2000, 3147, 8838, 1010, 1998, 4477, 2001, 2464, 2011, 8817, 1997, 2547, 7193, 3061, 1999, 1996, 10119, 1998, 2635, 2125, 1996, 15254, 1005, 1055, 1000, 2655, 2000, 10439, 5349, 1000, 2012, 1996, 2327, 1997, 2010, 2376, 1012, 2750, 1996, 2116, 3862, 4019, 4740, 2013, 3147, 8838, 1010, 4477, 2815, 1999, 3147, 8838, 2127, 2713, 2006, 2385, 2258, 3386, 1012, 2695, 2162, 2206, 2713, 2002, 9601, 1037, 4766, 2128, 1011, 2731, 2558, 1012, 2002, 2001, 2805, 5741, 2952, 2423, 2337, 3918, 1012, 4477, 2001, 2805, 2961, 7991, 2548, 9622, 1999, 4068, 1012, 2023, 2001, 2025, 1037, 7591, 14739, 1010, 1998, 4477, 2001, 2574, 2513, 2000, 3725, 1012, 2002, 2001, 2279, 6866, 2000, 1996, 2948, 6839, 1010, 1012, 25952, 1037, 3532, 2504, 1997, 19292, 7548, 1010, 2002, 1998, 6221, 5203, 1010, 1037, 2280, 7267, 1997, 1996, 2887, 1010, 4340, 2000, 14323, 1996, 2911, 1005, 1055, 2952, 1998, 18292, 2006, 9608, 3949, 1012, 2006, 5738, 1996, 2952, 1005, 1055, 6644, 1010, 4477, 4161, 1000, 2298, 1010, 2909, 1010, 2057, 1005, 2128, 2182, 2000, 2425, 2017, 2008, 2057, 1005, 2310, 2119, 2042, 1038, 1008, 1008, 1008, 1008, 1008, 1008, 1040, 2055, 2004, 23776, 2015, 1998, 2057, 1005, 2128, 2025, 2383, 2151, 1997, 2009, 1999, 3521, 7292, 999, 1000, 1012, 5203, 2001, 12943, 14949, 2102, 1010, 2021, 2000, 2010, 4474, 1996, 2952, 3880, 1010, 1000, 2035, 2157, 1010, 1045, 2963, 2017, 1012, 19776, 999, 1000, 1012, 1996, 2911, 1005, 1055, 2952, 2101, 9530, 20740, 2094, 2000, 2068, 1000, 5341, 2005, 2017, 2006, 1996, 2034, 2154, 2057, 2777, 2008, 1045, 2001, 3752, 1037, 2338, 2006, 2129, 2000, 3066, 2007, 4654, 1011, 23776, 2015, 1010, 2030, 2115, 6580, 2453, 2031, 2042, 2367, 1012, 1000, 4745, 14739, 2015, 2165, 2032, 2000, 5279, 1010, 1037, 19062, 3676, 1010, 4291, 4290, 1998, 1010, 1999, 3925, 1010, 19979, 1012, 2002, 2001, 2081, 2961, 1999, 3715, 7232, 11784, 8894, 3169, 1010, 8650, 3269, 2545, 2013, 4750, 19739, 11124, 25816, 2076, 1996, 19979, 2078, 5057, 1012, 2025, 2146, 2044, 7194, 1010, 2002, 2001, 2356, 2000, 2202, 1037, 2720, 3425, 2829, 2006, 1037, 8894, 6477, 2007, 3429, 15054, 1012, 5819, 10787, 2039, 1037, 2940, 2012, 3614, 7485, 2027, 8567, 2416, 19088, 1010, 2028, 1997, 3183, 4711, 1037, 17038, 2012, 1996, 3548, 5819, 2027, 2081, 2037, 4019, 1012, 1999, 2019, 2552, 2002, 2101, 2649, 2004, 1037, 1000, 5177, 14863, 11335, 3508, 1000, 1010, 4477, 12885, 3139, 1996, 17038, 2007, 2010, 6045, 1998, 2218, 2009, 2096, 2010, 19033, 2743, 2000, 3808, 1012, 14599, 1996, 17038, 3478, 2000, 20010, 21149, 1012, 2101, 1010, 2000, 4477, 1005, 1055, 23819, 1010, 2002, 2001, 3018, 1996, 2510, 2892, 2005, 2010, 1000, 6819, 3995, 3126, 1010, 9128, 1998, 5151, 8066, 1000, 1999, 9283, 3136, 2114, 1996, 19088, 1012, 2002, 2001, 3755, 2000, 2350, 2006, 2403, 2254, 3982, 1012, 1999, 3838, 2002, 2150, 16182, 3095, 2961, 1010, 1017, 15054, 4250, 2012, 21974, 1012, 2045, 2628, 14739, 2015, 2000, 1996, 29300, 3095, 2267, 1010, 13861, 1010, 1998, 2012, 16182, 8309, 16260, 1010, 2414, 1010, 2628, 2011, 1037, 2416, 1011, 3204, 4101, 2731, 2607, 2007, 1996, 2149, 9622, 1999, 2624, 5277, 1012, 1999, 3777, 2010, 4712, 2000, 3812, 4327, 2001, 4484, 1012, 1998, 2002, 2165, 3094, 1997, 2871, 15054, 2127, 3699, 1012, 2241, 1999, 5264, 1010, 2002, 2001, 4703, 4846, 1999, 15688, 2076, 1996, 13111, 2007, 1996, 9003, 2015, 2206, 1996, 18692, 10073, 1997, 3705, 1012, 2044, 1037, 2186, 1997, 3095, 14651, 1010, 4477, 3394, 2013, 1996, 2548, 9622, 1017, 2233, 3476, 1012, 6831, 2166, 4477, 2496, 11333, 10354, 2961, 1010, 6437, 4572, 1010, 1999, 26550, 2397, 1999, 3386, 1012, 2027, 2018, 2048, 4124, 1012, 2206, 2010, 5075, 2013, 1996, 9622, 1010, 4477, 1998, 2010, 2155, 11367, 2000, 2489, 6442, 1010, 17094, 1012, 1999, 3476, 4477, 2587, 1996, 2613, 3776, 2194, 1997, 24332, 1004, 2829, 1012, 6437, 2351, 1999, 3411, 1998, 1010, 1999, 3326, 4477, 3525, 19316, 2000, 15146, 9792, 2239, 1011, 9082, 1010, 1037, 4988, 2007, 1996, 4035, 1012, 1999, 3261, 1010, 2002, 1998, 11729, 1010, 22744, 3557, 1010, 4149, 24332, 1004, 2829, 1010, 5278, 2049, 2171, 2000, 10888, 1004, 3557, 1012, 1999, 2722, 4477, 2419, 10888, 1004, 3557, 2046, 11381, 1996, 6329, 2005, 1996, 2642, 17094, 1997, 2128, 1013, 4098, 1010, 1996, 2248, 2613, 3776, 22453, 1012, 2585, 2848, 14425, 4477, 2351, 2006, 1019, 2244, 2541, 1012, 3964, 4216, 15901, 2013, 1996, 20815, 1997, 8318, 1011, 8902, 2585, 4477, 1010, 1996, 3679, 10013, 1010, 1021, 2244, 2541, 4696, 1024, 4529, 18250, 4696, 1024, 2111, 5161, 2012, 18174, 2082, 4696, 1024, 2548, 9622, 3738, 4696, 1024, 2548, 9622, 5073, 1997, 2088, 2162, 2462, 4696, 1024, 2088, 2162, 2462, 5895, 1997, 2162, 2218, 2011, 2762, 4696, 1024, 5895, 1997, 2162, 2218, 2012, 3147, 8838, 3317, 4696, 1024, 15991, 1997, 1996, 2510, 2892, 4696, 1024, 2541, 6677, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1999, 1996, 2457, 1997, 4735, 9023, 1997, 5298, 2012, 8423, 2258, 2322, 1010, 2230, 5219, 2110, 1997, 5298, 1058, 1012, 6128, 18798, 13682, 3622, 5574, 2013, 1996, 4735, 2457, 2005, 12017, 2221, 2053, 1012, 2289, 1011, 1039, 1011, 21950, 2549, 2928, 1046, 1012, 3869, 8022, 1010, 3648, 2053, 1012, 25525, 8889, 2683, 1011, 5890, 16068, 2487, 1011, 10507, 2050, 1011, 1054, 2509, 1011, 3729, 1011, 6406, 2285, 1015, 1010, 2230, 13474, 1010, 6128, 18798, 13682, 1010, 2001, 21801, 1999, 1037, 9171, 1011, 4175, 24265, 2011, 1996, 12017, 2221, 2882, 6467, 2005, 2093, 9294, 1997, 2880, 23337, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2385, 1011, 28048, 1010, 3157, 9294, 1997, 4424, 6046, 2011, 2019, 3691, 3275, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2410, 1011, 4720, 2581, 1010, 2176, 9294, 1997, 15201, 9040, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2410, 1011, 2753, 2575, 1010, 1998, 2028, 4175, 1997, 9040, 1999, 11371, 1997, 2702, 2078, 1012, 3642, 5754, 1012, 1073, 4464, 1011, 2410, 1011, 2753, 2509, 1012, 13474, 2001, 7979, 2011, 1037, 6467, 1997, 2093, 9294, 1997, 2880, 23337, 1010, 2028, 4175, 1997, 3535, 2000, 10797, 4424, 6046, 1010, 1037, 8276, 1011, 2443, 10048, 1997, 1996, 5338, 10048, 1997, 4424, 6046, 1010, 2028, 4175, 1997, 4424, 6046, 1010, 1998, 2048, 9294, 1997, 3535, 2000, 10797, 15201, 9040, 1010, 1037, 8276, 1011, 2443, 10048, 1997, 15201, 9040, 1012, 1996, 6467, 2106, 2025, 5136, 2809, 9294, 1997, 1996, 24265, 2004, 1996, 3979, 2457, 4379, 26186, 1997, 9353, 15549, 28200, 2012, 1996, 2485, 1997, 1996, 2110, 1521, 1055, 6947, 1010, 1998, 13474, 2001, 18538, 2011, 1996, 6467, 1997, 1996, 3588, 2048, 9294, 1012, 13474, 6406, 1037, 4367, 2005, 2047, 3979, 1010, 1998, 2206, 1037, 4994, 1010, 1996, 3979, 2457, 15348, 2010, 10652, 2005, 2880, 23337, 1999, 4175, 1015, 1997, 1996, 24265, 2005, 16021, 16093, 8873, 29125, 1997, 1996, 3350, 1012, 1996, 2457, 4379, 1037, 11094, 14482, 2004, 2000, 13474, 1521, 1055, 10652, 2005, 4692, 4424, 6046, 1999, 4175, 1018, 1010, 2010, 10652, 2005, 2880, 23337, 1999, 4175, 1022, 1010, 1998, 2010, 10652, 2005, 4424, 6046, 1999, 4175, 2340, 1012, 1999, 2019, 13266, 2344, 1010, 1996, 3979, 2457, 2036, 15348, 13474, 1521, 1055, 10652, 2005, 2880, 23337, 1999, 4175, 1017, 1997, 1996, 24265, 1012, 2006, 5574, 1010, 13474, 19514, 2008, 1996, 3979, 2457, 1521, 1055, 17888, 1997, 1996, 6467, 2001, 24156, 1998, 2008, 2002, 2003, 4709, 2000, 1037, 2047, 3979, 1012, 4531, 2053, 7561, 1010, 2057, 21358, 27972, 1996, 26186, 1997, 1996, 3979, 2457, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 1017, 5574, 2004, 1997, 2157, 1025, 26186, 1997, 1996, 4735, 2457, 19768, 2726, 1056, 1012, 3536, 8095, 1010, 1046, 1012, 1010, 5359, 1996, 5448, 1997, 1996, 2457, 1010, 1999, 2029, 2585, 1044, 1012, 23447, 1998, 2198, 15160, 3766, 1010, 29017, 1012, 1010, 2587, 1012, 2198, 1055, 1012, 8902, 3051, 1010, 3523, 1010, 3996, 1010, 5298, 1010, 2005, 1996, 10439, 24178, 1010, 6128, 18798, 13682, 1012, 2728, 1041, 1012, 6201, 1010, 3781, 1012, 1010, 4905, 2236, 1998, 6398, 1025, 12895, 1039, 1012, 9115, 1010, 3353, 4905, 2236, 1025, 5125, 1055, 1012, 1006, 17153, 2854, 1007, 3779, 1010, 3523, 1010, 2212, 4905, 2236, 1025, 1046, 1012, 1059, 1012, 15876, 9397, 1010, 3353, 2212, 4905, 2236, 1025, 1998, 4422, 28925, 13565, 1010, 3353, 2212, 4905, 2236, 1010, 2005, 1996, 10439, 14774, 2063, 1010, 1996, 2110, 1997, 5298, 1012, 5448, 1996, 7082, 3277, 2992, 1999, 2023, 5574, 2003, 3251, 1996, 2048, 9294, 1997, 3535, 2000, 10797, 15201, 9040, 2005, 2029, 13474, 4832, 7979, 2323, 2022, 15348, 2005, 3768, 1997, 14477, 3490, 16383, 1999, 1996, 6467, 1521, 1055, 14392, 1012, 13474, 2035, 24746, 2015, 2008, 2010, 2349, 2832, 2916, 2020, 14424, 2011, 1996, 7709, 4846, 2011, 1996, 3979, 2457, 1999, 17888, 1996, 6467, 2044, 1996, 14392, 2001, 2623, 1012, 1037, 12654, 1997, 1996, 8866, 2877, 2000, 1996, 20488, 2003, 2025, 4072, 2000, 4769, 1996, 3277, 2992, 2006, 5574, 1012, 1996, 2501, 3065, 2008, 2206, 3972, 20755, 28893, 1010, 1996, 6467, 2513, 2000, 1996, 20747, 1010, 1998, 1996, 3979, 2457, 3191, 1996, 6467, 1521, 1055, 14392, 1998, 10514, 2050, 11867, 28040, 26847, 1996, 6467, 1012, 3639, 9517, 2059, 7303, 3265, 17888, 2138, 1010, 2429, 2000, 2032, 1010, 1523, 1031, 18414, 29165, 1033, 5796, 1012, 4482, 2195, 2335, 2106, 2025, 2907, 2014, 2192, 2039, 2030, 2069, 2106, 2009, 2012, 1996, 2457, 1521, 1055, 15870, 1012, 1524, 2076, 1996, 3265, 17888, 2011, 1996, 3979, 2457, 1010, 2009, 2150, 6835, 2008, 2178, 18414, 29165, 1010, 5796, 1012, 13114, 2080, 1010, 2106, 2025, 5993, 1010, 1999, 2112, 1010, 2007, 1996, 14392, 1012, 18414, 29165, 13114, 2080, 3090, 2004, 2000, 4175, 1018, 1997, 1996, 24265, 1010, 1523, 2026, 3789, 2001, 2367, 1010, 2021, 1045, 3789, 5905, 1012, 1524, 1996, 3979, 2457, 2741, 1996, 6467, 2041, 1998, 6936, 1996, 6467, 17888, 2007, 9517, 2005, 13474, 1998, 1996, 2110, 1012, 1996, 6467, 2001, 2716, 2067, 2046, 1996, 20747, 1010, 1998, 1996, 3979, 2457, 8280, 1996, 6467, 2004, 4076, 1024, 2034, 1997, 2035, 1010, 1045, 1521, 1049, 2183, 2000, 2707, 4175, 2176, 3265, 17888, 1997, 1996, 18414, 29165, 2015, 2058, 2153, 1012, 2006, 2019, 3265, 8554, 1010, 2169, 1997, 2017, 2031, 2000, 14970, 1999, 2330, 2457, 2005, 1996, 2501, 2043, 1045, 2655, 2115, 2171, 3251, 2030, 2025, 1996, 14392, 1010, 2029, 1045, 2097, 3191, 2000, 2017, 1010, 2003, 1996, 14392, 1516, 2003, 2115, 14392, 1010, 2003, 2115, 3265, 14392, 2005, 2169, 4175, 1012, 1045, 2342, 2000, 2963, 2008, 14258, 1998, 9174, 2011, 2169, 1997, 2017, 1012, 2065, 2151, 1997, 2017, 2031, 6724, 2055, 2054, 1045, 1521, 1049, 4851, 1010, 10639, 2007, 1996, 2457, 1012, 1045, 1521, 2310, 2042, 1516, 2009, 1521, 1055, 2042, 3421, 2008, 1037, 14392, 2038, 2042, 2584, 1010, 1045, 2031, 2579, 1996, 14392, 2241, 2006, 1996, 2265, 1997, 2398, 1010, 2021, 1996, 2375, 4473, 2005, 3265, 17888, 1012, 2004, 1997, 2157, 2085, 1010, 2115, 10287, 1998, 3972, 20755, 28893, 2024, 2058, 2007, 1012, 2009, 2003, 2026, 5368, 2000, 5676, 2119, 3903, 2008, 1037, 13604, 14392, 2038, 1999, 2755, 2042, 2584, 1012, 1045, 2113, 2017, 2035, 2031, 2042, 2104, 1037, 2843, 1997, 6911, 2058, 1037, 8487, 1997, 2093, 2367, 2420, 2551, 2006, 2019, 5186, 3697, 3663, 1998, 1045, 2113, 2008, 2763, 2035, 1997, 2017, 2024, 5458, 1998, 10627, 25312, 17269, 1011, 1016, 1011, 1998, 2673, 1010, 2061, 2065, 2008, 1521, 1055, 2025, 2115, 14392, 1010, 1045, 2074, 2342, 2000, 2113, 3649, 2009, 2003, 2061, 2008, 1045, 2064, 2059, 4769, 2008, 3327, 3277, 1012, 1996, 2457, 2059, 7943, 3265, 17888, 1010, 1998, 2004, 2000, 4175, 1018, 1010, 13003, 13474, 2007, 3535, 2000, 10797, 4424, 6046, 2011, 2019, 3691, 3275, 1010, 18414, 29165, 4482, 5393, 2008, 2016, 2018, 5444, 5905, 1010, 2021, 6380, 2008, 5905, 2001, 2014, 3265, 14392, 1012, 2004, 2000, 4175, 1019, 1010, 13003, 13474, 2007, 4424, 6046, 1010, 2000, 2029, 1996, 6467, 2018, 2513, 1037, 14392, 1997, 2025, 5905, 1010, 18414, 29165, 4482, 2153, 5393, 2008, 2023, 2001, 2025, 2014, 3265, 14392, 1012, 2004, 2000, 4175, 1022, 1010, 2035, 18414, 29165, 2015, 19768, 1996, 5905, 14392, 1012, 2004, 2000, 4175, 2340, 1010, 13003, 4424, 6046, 1010, 18414, 29165, 4482, 2153, 6380, 2008, 2014, 3265, 14392, 2001, 5905, 1012, 2004, 2000, 9294, 2260, 1998, 2410, 1010, 13003, 13474, 2007, 15201, 9040, 1010, 2035, 18414, 29165, 2015, 19768, 1996, 14392, 2015, 1997, 5905, 2000, 1996, 8276, 1011, 2443, 10048, 1997, 3535, 2000, 10797, 15201, 9040, 1012, 2004, 2000, 4175, 2459, 1010, 13003, 9040, 1010, 2035, 1997, 1996, 18414, 29165, 2015, 19768, 1996, 2025, 5905, 14392, 1012, 2076, 1996, 3265, 17888, 1010, 18414, 29165, 13114, 2080, 19768, 2014, 3265, 14392, 2004, 2000, 2035, 1997, 1996, 2682, 9294, 1012, 2044, 1996, 3979, 2457, 2949, 1996, 3265, 17888, 1010, 2174, 1010, 18414, 29165, 13114, 2080, 5393, 2008, 2016, 18335, 2007, 2070, 1997, 1996, 6467, 1521, 1055, 14392, 2015, 1012, 2016, 3090, 1010, 1523, 2054, 1045, 2359, 2000, 2360, 2001, 1010, 1999, 2070, 1997, 2068, 1010, 1045, 2134, 1521, 1056, 5993, 1010, 1045, 2134, 1521, 1056, 1516, 2026, 3789, 2001, 2025, 5905, 1010, 2021, 2138, 6343, 2371, 1996, 2168, 2126, 2008, 1045, 2106, 1010, 1045, 2018, 2000, 3789, 5905, 1012, 2045, 2001, 2053, 2060, 2126, 1012, 1524, 4919, 1010, 18414, 29165, 13114, 2080, 2409, 1996, 3979, 2457, 2008, 2004, 2000, 4175, 1018, 1010, 2016, 2106, 2025, 5993, 2007, 1996, 6467, 1521, 1055, 5905, 14392, 1012, 1996, 3979, 2457, 2153, 2741, 1996, 6467, 2041, 1998, 8280, 1996, 3277, 2007, 9517, 1012, 9517, 2005, 13474, 2081, 1037, 4367, 2005, 11094, 14482, 1010, 2029, 1996, 3979, 2457, 6380, 1012, 2043, 1996, 6467, 2001, 2716, 2067, 1999, 1010, 1996, 3979, 2457, 2320, 2153, 14258, 26847, 18414, 29165, 2015, 13114, 2080, 1998, 4482, 2069, 2004, 2000, 9294, 1018, 1010, 1019, 1010, 1022, 1010, 2340, 1010, 2260, 1010, 2410, 1010, 1998, 2459, 1010, 1998, 2119, 18414, 29165, 2015, 19768, 1996, 14392, 2015, 1997, 1996, 6467, 1012, 4106, 13474, 27481, 2015, 1010, 2004, 2000, 1996, 2048, 9294, 1997, 4692, 15201, 9040, 2005, 2029, 2002, 4832, 7979, 1010, 2008, 1523, 2002, 2106, 2025, 4374, 1037, 4189, 3979, 2006, 2122, 9294, 1010, 4496, 2001, 1996, 14392, 13604, 1012, 1524, 13474, 19514, 2008, 2002, 2003, 4709, 2000, 1037, 2047, 3979, 2006, 9294, 2260, 1998, 2410, 1012, 1996, 2110, 27481, 2015, 2008, 2138, 13474, 3478, 2000, 4874, 2012, 3979, 2030, 5333, 1996, 3277, 1997, 1996, 17727, 18981, 27840, 1997, 1996, 3979, 2457, 1521, 1055, 17888, 7709, 1999, 2010, 4367, 2005, 2047, 3979, 1010, 1996, 3277, 2003, 16301, 1012, 1996, 2110, 2582, 19514, 2008, 2138, 13474, 3478, 2000, 3073, 1037, 24051, 2030, 2060, 2501, 1997, 1996, 4994, 2006, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 1010, 2023, 2457, 2442, 3653, 23545, 1996, 3979, 2457, 1521, 1055, 6996, 2003, 6149, 1012, 3227, 1010, 2073, 1037, 2283, 11896, 2000, 2421, 2019, 3277, 1999, 2049, 4367, 2005, 2047, 3979, 1010, 1996, 3277, 2003, 16301, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 1017, 1006, 1041, 1007, 1025, 2156, 2110, 1058, 1012, 5232, 1010, 27743, 1055, 1012, 1059, 1012, 14134, 29335, 1010, 4229, 2575, 1006, 2702, 2078, 1012, 2786, 1007, 1012, 2036, 1010, 2009, 2003, 1996, 4611, 1997, 1996, 5496, 2000, 3073, 1037, 2501, 2029, 16636, 2015, 1037, 4189, 1010, 8321, 1998, 1011, 1017, 1011, 3143, 4070, 1997, 2054, 9099, 21649, 2007, 7634, 2000, 1996, 3314, 2029, 2433, 1996, 3978, 1997, 1996, 5574, 1012, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 2484, 1006, 1038, 1007, 1025, 2156, 2110, 1058, 1012, 4202, 1010, 5585, 2475, 1055, 1012, 1059, 1012, 14134, 6365, 2487, 1010, 6365, 2549, 1006, 2702, 2078, 1012, 2639, 1007, 1012, 1996, 2501, 2077, 2149, 2515, 2025, 5383, 1037, 24051, 1997, 1996, 4994, 2006, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 1010, 1998, 1996, 24051, 2013, 1996, 3752, 1997, 1996, 6467, 14392, 1998, 4745, 17888, 3065, 2008, 3639, 9517, 3478, 2000, 4874, 4919, 2000, 1996, 17888, 7709, 4846, 2011, 1996, 3979, 2457, 1012, 2174, 1010, 3639, 9517, 2333, 1996, 3979, 2457, 2000, 13520, 1037, 11094, 14482, 2044, 1996, 2457, 2741, 1996, 6467, 2041, 2005, 1996, 2117, 2051, 1012, 7297, 1010, 1999, 2010, 4367, 2005, 2047, 3979, 1010, 13474, 27481, 2015, 2008, 1996, 6467, 17888, 7709, 4846, 2011, 1996, 3979, 2457, 2001, 24156, 1012, 1996, 4367, 2163, 2004, 5286, 2005, 1037, 2047, 3979, 1010, 1523, 1031, 1051, 1033, 13316, 2063, 18414, 29165, 2015, 14970, 1996, 5359, 14392, 2001, 2025, 17156, 1010, 1996, 2069, 2048, 7047, 2800, 2000, 1996, 2457, 2024, 1006, 1015, 1007, 1037, 11094, 14482, 2006, 2216, 9294, 2030, 1006, 1016, 1007, 16021, 26310, 1996, 6467, 2000, 3613, 2049, 3972, 20755, 28893, 2000, 1037, 13604, 14392, 1012, 2023, 2457, 2106, 4445, 1012, 1524, 2702, 2078, 1012, 1054, 1012, 10439, 1012, 1052, 1012, 2484, 1006, 1038, 1007, 14245, 2019, 10439, 24178, 2000, 5371, 2625, 2084, 1037, 3143, 24051, 2065, 1996, 9128, 1997, 1996, 3314, 2009, 18754, 2000, 5333, 2097, 2025, 5478, 1996, 23240, 2457, 2000, 3319, 1996, 2972, 24051, 1012, 2057, 16519, 2008, 1037, 24051, 1997, 1996, 3979, 2457, 1521, 1055, 4994, 2006, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 2003, 2025, 4072, 2000, 5646, 1996, 3277, 2992, 1999, 2023, 5574, 1012, 1996, 2501, 2077, 2149, 2515, 5383, 1037, 24051, 1997, 1996, 3979, 8931, 2004, 2092, 2004, 13474, 1521, 1055, 4367, 2005, 2047, 3979, 1998, 1996, 3979, 2457, 1521, 1055, 2344, 1998, 13266, 2344, 1012, 2057, 2097, 1010, 3568, 1010, 4769, 2023, 3277, 2006, 1996, 22617, 1012, 5298, 3627, 1997, 4735, 7709 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2412, 8271, 2039, 1999, 1996, 2851, 1998, 1996, 2034, 2245, 2008, 3310, 2000, 2115, 2568, 2003, 1010, 1523, 1045, 2074, 2123, 1521, 1056, 2215, 2000, 2131, 2041, 1997, 2793, 1529, 1012, 13001, 1529, 1012, 1012, 100, 1029, 1524, 2030, 2023, 1010, 1523, 12098, 12171, 5603, 1010, 1045, 2031, 2000, 2227, 1996, 2168, 2214, 2477, 2651, 1529, 1012, 1012, 13001, 1529, 1012, 1010, 1524, 1998, 2017, 5342, 25035, 2582, 2104, 1996, 4472, 1998, 10214, 2000, 24981, 1029, 2750, 1996, 2755, 2008, 2017, 2089, 2022, 2397, 2005, 2147, 2030, 2397, 1999, 2893, 2115, 4268, 2000, 2082, 1029, 100, 2012, 2023, 2391, 1010, 2009, 2003, 2200, 2524, 2000, 3046, 1998, 9587, 29068, 3686, 9731, 2138, 2057, 2024, 2525, 5881, 1999, 1996, 21766, 2102, 1012, 2061, 1010, 2054, 1045, 2572, 2183, 2000, 2391, 2041, 2182, 2024, 2070, 3722, 3971, 2008, 2017, 2064, 6611, 2096, 2017, 2024, 2025, 1999, 1996, 21766, 2102, 2664, 2138, 2027, 2024, 3214, 2000, 2022, 4652, 3512, 5761, 1012, 2005, 2033, 1010, 2009, 2003, 23934, 2008, 1045, 2079, 2023, 2138, 10126, 1010, 2154, 1999, 1998, 2154, 2041, 1010, 2009, 2038, 2042, 2062, 2030, 2625, 1996, 2168, 2828, 1997, 8518, 2008, 1045, 2227, 2005, 1996, 2197, 1022, 2086, 2008, 1045, 2031, 2042, 1037, 2440, 2051, 2188, 8571, 1012, 2823, 1010, 1996, 18847, 2669, 2100, 1997, 2009, 2035, 2064, 2428, 2131, 2000, 2033, 1529, 2085, 1010, 2006, 1996, 2744, 1523, 2188, 8571, 1524, 1516, 1045, 2572, 2183, 2000, 11853, 9375, 2008, 2004, 2619, 1006, 3262, 6456, 1025, 2092, 1010, 2273, 1010, 2205, 1010, 2024, 2443, 2065, 2027, 2024, 2920, 1999, 2023, 1998, 1045, 10439, 17298, 2094, 2068, 5262, 999, 100, 1007, 2040, 9020, 1998, 14977, 2005, 1996, 4398, 1010, 3810, 2009, 2046, 1037, 2522, 6508, 2188, 1998, 8493, 2073, 2014, 2155, 2064, 2202, 9277, 1999, 1012, 2023, 2097, 2421, 2440, 1011, 2051, 2994, 1011, 2012, 1011, 2188, 3566, 2015, 2066, 2033, 1010, 2551, 10403, 1010, 2309, 3566, 2015, 1010, 2147, 1011, 2013, 1011, 2188, 3566, 2015, 1998, 2047, 10403, 1010, 3100, 1029, 3046, 1998, 11092, 2070, 1997, 1996, 3971, 3855, 2917, 1024, 1011, 1015, 1007, 2043, 2017, 2175, 2000, 2793, 2012, 2305, 1010, 2017, 2323, 2022, 1999, 1037, 3893, 4853, 1997, 2568, 1010, 2007, 1037, 2204, 2245, 1012, 2065, 2017, 2991, 6680, 2007, 1996, 2197, 2245, 2108, 4997, 2066, 1010, 1523, 2821, 2879, 1010, 4826, 2003, 6928, 1010, 2009, 1521, 1055, 2183, 2000, 2022, 1996, 5132, 2005, 2033, 1529, 1010, 1524, 1010, 2017, 2024, 2183, 2000, 5256, 2039, 1996, 2279, 2154, 5791, 3110, 14777, 1998, 2017, 2024, 2183, 2000, 2022, 5881, 1999, 2793, 2005, 2469, 999, 1016, 1007, 6660, 1010, 2043, 2017, 5256, 2039, 1010, 3046, 2000, 2031, 1037, 3893, 2034, 2245, 1010, 2066, 1010, 1523, 2651, 2003, 2183, 2000, 2022, 1037, 6919, 1998, 3376, 2154, 999, 1524, 2079, 2023, 2130, 2065, 2017, 2024, 2183, 2000, 2022, 5307, 2019, 28644, 1997, 3082, 2147, 11066, 2008, 2154, 1010, 1998, 1045, 2064, 6655, 2017, 2007, 2023, 2707, 2039, 1999, 1996, 2851, 1010, 2017, 2024, 1999, 1037, 2488, 4650, 2000, 2227, 2115, 2047, 2154, 1012, 100, 1017, 1007, 2017, 2064, 2079, 3893, 21358, 27972, 10708, 2066, 1010, 1523, 1045, 2572, 3407, 1010, 1045, 2572, 7965, 1010, 1045, 2572, 18241, 1010, 1524, 1999, 1996, 2851, 1998, 2802, 1996, 2154, 2138, 2027, 2097, 2393, 2000, 1523, 25732, 1524, 2115, 6888, 2005, 1996, 2154, 1012, 1018, 1007, 3342, 2008, 2009, 2987, 1521, 1056, 3477, 2005, 2017, 2000, 2022, 1999, 1037, 2919, 6888, 2320, 2017, 5256, 2039, 1012, 2031, 2017, 4384, 2129, 2272, 2477, 2064, 2175, 2130, 2062, 3308, 2074, 2043, 2017, 2024, 1999, 1037, 2919, 6888, 1029, 2926, 2043, 2017, 2024, 4854, 1029, 2061, 1010, 2360, 2053, 2000, 2919, 27824, 1998, 27987, 9961, 999, 1019, 1007, 3046, 2000, 15673, 1037, 2868, 2006, 2115, 2227, 999, 2085, 1010, 1045, 2056, 1523, 15673, 1524, 2138, 2043, 2017, 2024, 1999, 1037, 10223, 6508, 6888, 1010, 2045, 2003, 2053, 2126, 2017, 2064, 2130, 3288, 4426, 2000, 2514, 2066, 5629, 1012, 2061, 1010, 2054, 2017, 2031, 2000, 2079, 2003, 2000, 2486, 2115, 2677, 2000, 2868, 1010, 2130, 2065, 2017, 2031, 2000, 3288, 2039, 2115, 2048, 18921, 20349, 2015, 2000, 1996, 7926, 1997, 2115, 2970, 1998, 6336, 2068, 2039, 2046, 1037, 7367, 14905, 23078, 1997, 1037, 2868, 999, 100, 5292, 3270, 3270, 999, 3475, 1521, 1056, 2023, 4569, 1029, 2009, 2089, 2514, 9951, 2000, 2017, 2725, 2008, 1010, 2021, 3404, 2033, 1010, 2009, 2573, 2044, 1037, 2261, 2781, 1010, 2522, 2015, 5064, 1010, 2115, 6888, 2003, 2025, 2004, 2091, 2004, 2077, 1998, 2008, 2868, 1997, 6737, 2089, 2074, 2735, 10218, 999, 2030, 2017, 2097, 2022, 2039, 18412, 2098, 2011, 2115, 2219, 7239, 1010, 5870, 2012, 2115, 10021, 27440, 999, 2011, 1996, 2126, 1010, 2562, 5629, 2004, 2172, 2004, 2017, 2064, 2076, 1996, 2154, 1012, 100, 1020, 1007, 4872, 4426, 1037, 10377, 2005, 1996, 2203, 1997, 1996, 2154, 2065, 2017, 2031, 2699, 2115, 2190, 2000, 2031, 1037, 2204, 2154, 1012, 1045, 2031, 2367, 2210, 19054, 2074, 2005, 2870, 2296, 2154, 1529, 1012, 1012, 2183, 2000, 1996, 9588, 2243, 13498, 2005, 1037, 3835, 2452, 1997, 14123, 5572, 1006, 8915, 2232, 1051, 3256, 12967, 2226, 1007, 1010, 2030, 2074, 5128, 2039, 2026, 5458, 3456, 1998, 3422, 1037, 2204, 3185, 1010, 2030, 2074, 2383, 2070, 4251, 2051, 2000, 2870, 1523, 2310, 18150, 5844, 1524, 2026, 4167, 1010, 1045, 1012, 1041, 1012, 2074, 2025, 2725, 2151, 3241, 1012, 1021, 1007, 2009, 7126, 1037, 2843, 2000, 4756, 2076, 1996, 2154, 1012, 1045, 2632, 4576, 2903, 2008, 1010, 1523, 7239, 2003, 1996, 2190, 4200, 1524, 2138, 2043, 2057, 4756, 1010, 2256, 4167, 7137, 2203, 2953, 21850, 3619, 1010, 1037, 2514, 1011, 2204, 18714, 1012, 3422, 1037, 4133, 1011, 4012, 1010, 2030, 3191, 2070, 13198, 1010, 2030, 2488, 2145, 2425, 2070, 13198, 2000, 2619, 1998, 2191, 2068, 4756, 2612, 999, 100, 1022, 1007, 2256, 2303, 2038, 15240, 2015, 2029, 2064, 27598, 4997, 19320, 2076, 1996, 2154, 1998, 2058, 1037, 2558, 1010, 1996, 15240, 2015, 2064, 2468, 10634, 1998, 3082, 1010, 2947, 2437, 2149, 2514, 2292, 8167, 12863, 1010, 10634, 1998, 23667, 17701, 2232, 1012, 1045, 2066, 2000, 2655, 2023, 4650, 1523, 2108, 1999, 1996, 13132, 4224, 1524, 2138, 2008, 2003, 10785, 2129, 1045, 2052, 2514, 1012, 1996, 19519, 2003, 3733, 1998, 2035, 2017, 2342, 2000, 2079, 2003, 1037, 5474, 7198, 2000, 4550, 2115, 15240, 2015, 1012, 2045, 2024, 2060, 3971, 2008, 1045, 2064, 2228, 1997, 2000, 2393, 4372, 2121, 17701, 2063, 2256, 2166, 2021, 1045, 2097, 2644, 2182, 2012, 1022, 1010, 2138, 1045, 2572, 7501, 1998, 1045, 2342, 2000, 2175, 2031, 2026, 4596, 2085, 1516, 2026, 4167, 2003, 7491, 2005, 2833, 1998, 10214, 2000, 2228, 4902, 999, 100, 100, 2397, 2028, 2305, 1010, 1045, 2018, 1037, 2844, 26369, 2005, 22619, 1998, 1045, 2787, 2000, 8670, 3489, 1037, 25659, 9850, 2012, 7090, 999, 100, 2092, 1010, 2009, 2001, 1037, 5095, 2305, 1998, 2026, 3129, 1998, 4268, 2020, 2035, 6595, 2039, 2397, 4312, 1529, 1012, 1998, 2061, 1010, 2023, 2001, 1037, 2613, 7438, 2005, 2068, 1010, 1037, 14704, 1997, 25659, 9850, 2005, 15264, 999, 1045, 2018, 2070, 2187, 7840, 6949, 8808, 1999, 2026, 18097, 1998, 1045, 2787, 2000, 2224, 2035, 1997, 2009, 1998, 5064, 1010, 1045, 18358, 2039, 2007, 1996, 11702, 2005, 2437, 1996, 8808, 22286, 1010, 1998, 1045, 3092, 2039, 2007, 1037, 10097, 2075, 2008, 2001, 1037, 18819, 2205, 28259, 1529, 2021, 1529, 1012, 2009, 2469, 12595, 2307, 2007, 1996, 9850, 4312, 1012, 100, 2023, 17974, 2003, 2428, 3733, 2000, 3582, 1998, 2009, 2069, 2165, 2033, 2322, 2781, 2000, 7374, 1996, 9850, 23801, 2013, 11969, 2035, 2011, 2870, 1998, 2302, 2151, 2210, 16838, 1006, 2002, 5369, 1010, 2026, 4268, 1007, 5094, 2041, 1999, 1996, 3829, 1012, 1045, 1521, 1049, 2025, 2200, 2204, 2007, 21522, 22619, 1998, 2061, 1010, 1045, 2001, 2200, 3407, 2007, 1996, 3463, 2182, 1012, 100, 2034, 1010, 1996, 17428, 2003, 3653, 20192, 3064, 2000, 8380, 5445, 8292, 15472, 4173, 2030, 8698, 5445, 6904, 28362, 25311, 20175, 1012, 2096, 1996, 17428, 2003, 2183, 1010, 21956, 1998, 13724, 1037, 1022, 1011, 4960, 2030, 2184, 1011, 4960, 2461, 2030, 2675, 9850, 6090, 1012, 2059, 1010, 7374, 1996, 23801, 2004, 4076, 1516, 2878, 4168, 2389, 25659, 9850, 2007, 6949, 8808, 10097, 2075, 12760, 1516, 1015, 1015, 1013, 1016, 10268, 3514, 1016, 10268, 2829, 5699, 1016, 24529, 4523, 21229, 9898, 1018, 6763, 1010, 7854, 8217, 1015, 24529, 2361, 21161, 1016, 10268, 2878, 4168, 2389, 13724, 1015, 24529, 2361, 5474, 1017, 10268, 22126, 24665, 4383, 25659, 2015, 1015, 24529, 2361, 21522, 9898, 1015, 24529, 2361, 21522, 14904, 2030, 14904, 12170, 26190, 3686, 4118, 1516, 4666, 1996, 2034, 2274, 12760, 12246, 1999, 1037, 2312, 4605, 1012, 2059, 5587, 1999, 1996, 2717, 1997, 1996, 12760, 2028, 2011, 2028, 2127, 2027, 2024, 2035, 5100, 1012, 10364, 2046, 1996, 4810, 9850, 6090, 1998, 8670, 3489, 1999, 1996, 3653, 20192, 3064, 17428, 2005, 3155, 2753, 2781, 1010, 2030, 2043, 1996, 2327, 1997, 1996, 9850, 2003, 3585, 1999, 6120, 1998, 1996, 9850, 2003, 7718, 2005, 2589, 2791, 2043, 2019, 12889, 11868, 24330, 2243, 2046, 1996, 2803, 1997, 1996, 9850, 4332, 2041, 4318, 1006, 2302, 2151, 23801, 13423, 3031, 2009, 1007, 1012, 2096, 1996, 9850, 2003, 21522, 1010, 7374, 1996, 6949, 8808, 10097, 2075, 1529, 6949, 8808, 10097, 2075, 1516, 12760, 1516, 1015, 1013, 1018, 2452, 4895, 12002, 3064, 12136, 1010, 2012, 2282, 4860, 11816, 13938, 2030, 1022, 11472, 1997, 3730, 4407, 6949, 8808, 1010, 2012, 2282, 4860, 1016, 10268, 2030, 11816, 13938, 2015, 1997, 24582, 2075, 1013, 9530, 25969, 3258, 2545, 1521, 5699, 1010, 9033, 18915, 27838, 3367, 1997, 1015, 14380, 1015, 24529, 2361, 21161, 14817, 4118, 1516, 3786, 6949, 8808, 1998, 12136, 2007, 1037, 2192, 23228, 2127, 5744, 1998, 2092, 5100, 1012, 5587, 1999, 1996, 24582, 2075, 5699, 2978, 2011, 2978, 1010, 2059, 1996, 14380, 27838, 3367, 1998, 21161, 1516, 2191, 2469, 2000, 4666, 12246, 1012, 10097, 2023, 3031, 1037, 3294, 12981, 9850, 1012, 14753, 10439, 20624, 2102, 999, 100, 3602, 1516, 2138, 1045, 2001, 2478, 2878, 4168, 2389, 13724, 1010, 1996, 9850, 1521, 1055, 14902, 2003, 1037, 2978, 3082, 2021, 2065, 2017, 9544, 1037, 19013, 9850, 1010, 2224, 5810, 13724, 1998, 2005, 1037, 1523, 2062, 11052, 1524, 9850, 1010, 5587, 1999, 1015, 1013, 1016, 2452, 1997, 2092, 11055, 1998, 10560, 27141, 7222, 23804, 2007, 1996, 4954, 12760, 2005, 1996, 9850, 1998, 8670, 3489, 1037, 2261, 2781, 2936, 1012, 2017, 2064, 2036, 5587, 1015, 1013, 1016, 2452, 1997, 24881, 18489, 2015, 2030, 15547, 11493, 2015, 1010, 2205, 1010, 2065, 2017, 2066, 1012, 1045, 2134, 1521, 1056, 2404, 2151, 1999, 2023, 17974, 2182, 2138, 2026, 2155, 2987, 1521, 1056, 2428, 2066, 2068, 1999, 2037, 22619, 1012, 1045, 2001, 3752, 1996, 1996, 2732, 6399, 2070, 2051, 2067, 1998, 2234, 2408, 1037, 2200, 5875, 3720, 2006, 2070, 10247, 2000, 2393, 2149, 4503, 1996, 10427, 1997, 6595, 3893, 1012, 10043, 2000, 2054, 2057, 2228, 1010, 27451, 2003, 2025, 2019, 1999, 10280, 18275, 1012, 27451, 1010, 2108, 1037, 2110, 1997, 2568, 1010, 2064, 2022, 2499, 2006, 1998, 5301, 1012, 27451, 2003, 2025, 2069, 6827, 2043, 2358, 3089, 6455, 2000, 19148, 2256, 3289, 1998, 19509, 1010, 2021, 2009, 2036, 24840, 2256, 2836, 1012, 2009, 2003, 3928, 1998, 9530, 15900, 6313, 2138, 2043, 2028, 2003, 21931, 1010, 2057, 2031, 1037, 3893, 1998, 9657, 2514, 2000, 2149, 1998, 2023, 2943, 2064, 2022, 2371, 2011, 2111, 2105, 2149, 1010, 2022, 2009, 2012, 2188, 2030, 2012, 2147, 1012, 100, 1996, 3861, 2682, 2001, 6267, 1999, 1996, 5095, 2695, 1010, 4501, 1998, 2001, 4993, 2011, 2019, 3063, 2315, 13222, 1012, 2002, 3881, 2023, 8266, 2000, 2265, 1996, 3643, 1997, 27451, 1999, 2166, 1012, 2002, 2056, 1010, 1523, 2111, 2031, 7167, 1997, 2919, 2477, 2183, 2006, 1999, 2166, 1010, 2029, 2024, 3491, 2011, 1996, 5931, 8983, 2098, 2311, 1012, 2009, 2003, 1037, 5931, 2311, 2029, 2017, 2064, 2360, 2003, 6135, 2757, 1010, 2004, 2017, 2064, 2514, 2011, 2559, 2012, 1996, 14902, 2006, 1996, 3681, 1012, 1996, 2190, 2112, 1997, 2166, 2003, 2008, 2045, 2003, 2467, 1037, 4097, 1997, 3246, 1010, 1998, 2008, 2003, 3491, 2011, 1996, 13541, 1012, 2061, 2026, 4145, 2003, 2008, 2017, 2031, 2000, 2228, 13567, 1998, 14817, 3893, 3787, 1997, 2166, 2000, 2444, 3458, 1996, 2919, 2477, 2183, 2006, 1999, 2115, 11301, 1012, 1999, 1037, 12264, 18223, 1010, 27451, 1999, 2166, 2003, 1996, 3145, 2000, 3112, 2005, 2469, 999, 1524, 2129, 2995, 999, 2909, 10180, 10888, 2056, 1999, 4051, 1010, 1523, 1045, 2572, 2019, 23569, 27605, 3367, 999, 2009, 2515, 2025, 4025, 2000, 2022, 2172, 2224, 2108, 2505, 2842, 1012, 1524, 2429, 2000, 2470, 1010, 21931, 2111, 2868 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 3415, 15327, 1041, 17603, 2102, 29097, 1063, 3853, 1035, 11307, 6633, 13876, 8516, 3170, 1006, 5164, 1024, 5164, 1007, 1063, 2709, 5164, 999, 1027, 1027, 1000, 1000, 1025, 1065, 1013, 1008, 1008, 1008, 100, 100, 100, 100, 100, 100, 100, 100, 1636, 1008, 1013, 1030, 3259, 1012, 28159, 9167, 2465, 17552, 9153, 2618, 8908, 3259, 1012, 2918, 9006, 29513, 3372, 1063, 1013, 1008, 1008, 1008, 1030, 4722, 1008, 1013, 2270, 3191, 2239, 2135, 2006, 22864, 24238, 18780, 22305, 2098, 1024, 7755, 1012, 4742, 1027, 2047, 7755, 1012, 4742, 1006, 1007, 1025, 2270, 2544, 1024, 5164, 1025, 2270, 3115, 4063, 11444, 6024, 5054, 3085, 2094, 1024, 22017, 20898, 1025, 2270, 14902, 10258, 16503, 8189, 23242, 1024, 22017, 20898, 1025, 2270, 25312, 2290, 3207, 13876, 10222, 3085, 2094, 1024, 22017, 20898, 1025, 2270, 14902, 8873, 21928, 7088, 6499, 13181, 24330, 1024, 4654, 2102, 1035, 14902, 1035, 11307, 1035, 2019, 19565, 13181, 24330, 1064, 19701, 1025, 2270, 8703, 19731, 18413, 5397, 4135, 2094, 1024, 2151, 1025, 2270, 4098, 18209, 14900, 1024, 21318, 3372, 1025, 2270, 4098, 16874, 10288, 18209, 14900, 1024, 21318, 3372, 1025, 2270, 4098, 18209, 14900, 4697, 1024, 21318, 3372, 1025, 2270, 4098, 10841, 4783, 2863, 4523, 4697, 1024, 21318, 3372, 1025, 2270, 4098, 7389, 4063, 8569, 12494, 4697, 1024, 21318, 3372, 1025, 2270, 4098, 16874, 10288, 19496, 14192, 3726, 24817, 1024, 21318, 3372, 1025, 2270, 4098, 7088, 6499, 13181, 7685, 1024, 21318, 3372, 1025, 2270, 4098, 14417, 3597, 16671, 1024, 21318, 3372, 1027, 2484, 1025, 2270, 4098, 28139, 28472, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 2691, 10288, 29048, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 19449, 10288, 29048, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 15778, 10288, 29048, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 2691, 3207, 23460, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 19449, 3207, 23460, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 15778, 3207, 23460, 2015, 1024, 5164, 1027, 1000, 1000, 1025, 2270, 3191, 2239, 2135, 3154, 18717, 1024, 3609, 1027, 3609, 1012, 3443, 1006, 1007, 1025, 2270, 3191, 2239, 2135, 3193, 6442, 1024, 28667, 23395, 1027, 28667, 23395, 1012, 3443, 1006, 1007, 1025, 2270, 3191, 2239, 2135, 11859, 1024, 11859, 1027, 2047, 11859, 1006, 1007, 1025, 2270, 3191, 2239, 2135, 12398, 7874, 20389, 7377, 4063, 20760, 8950, 2015, 1024, 3191, 2239, 2135, 1026, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 5164, 1065, 1028, 1027, 1063, 7661, 1035, 19449, 1024, 1000, 1000, 1010, 7661, 1035, 4088, 1035, 19449, 1024, 1000, 1000, 1010, 7661, 1035, 2203, 1035, 19449, 1024, 1000, 1000, 1010, 7661, 1035, 15778, 1024, 1000, 1000, 1010, 7661, 1035, 4088, 1035, 15778, 1024, 1000, 1000, 1010, 7661, 1035, 2203, 1035, 15778, 1024, 1000, 1000, 1010, 1065, 1025, 1013, 1008, 1008, 1008, 1008, 1013, 2270, 3191, 2239, 2135, 17053, 2015, 1027, 1063, 2224, 7138, 2863, 2361, 1024, 6270, 1010, 23942, 16102, 15568, 1024, 6270, 1010, 8267, 16102, 15568, 1024, 6270, 1010, 12731, 13112, 9335, 2243, 1024, 3259, 1012, 6741, 1012, 2498, 1010, 17961, 3597, 16671, 1024, 1014, 1010, 5923, 3597, 16671, 1024, 1014, 1010, 1041, 17603, 2102, 2475, 7983, 4063, 3597, 16671, 1024, 1014, 1010, 5119, 8569, 12494, 1024, 2047, 14257, 16703, 2906, 9447, 1006, 1018, 1007, 1010, 3712, 8758, 18209, 5397, 1024, 19701, 2004, 1006, 2918, 18209, 5397, 1064, 19701, 1007, 1010, 1065, 1025, 2270, 17552, 7559, 18150, 1024, 17552, 18209, 5397, 1064, 19701, 1027, 19701, 1025, 2270, 8205, 16102, 2121, 20760, 8950, 2015, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 5164, 1065, 1064, 19701, 1027, 19701, 1025, 1013, 1008, 1008, 1008, 1008, 1013, 2270, 17552, 1024, 1006, 4950, 1024, 4950, 1010, 3430, 1029, 1024, 3430, 1010, 17552, 7559, 18150, 1029, 1024, 17552, 18209, 5397, 1007, 1027, 1028, 11675, 1027, 19701, 999, 1025, 1013, 1008, 1008, 1008, 1008, 1013, 2270, 4009, 1024, 1006, 4009, 9289, 2140, 1024, 4009, 9289, 2140, 1010, 3430, 1029, 1024, 3430, 1064, 19701, 1007, 1027, 1028, 11675, 1027, 19701, 999, 1025, 1013, 1013, 100, 100, 100, 1740, 100, 1744, 1763, 1858, 100, 100, 100, 1010, 100, 100, 100, 100, 100, 100, 100, 100, 100, 2797, 1035, 8833, 8486, 2705, 7712, 3207, 13876, 2232, 8569, 12494, 1024, 22017, 20898, 1027, 6270, 1025, 2797, 1035, 13091, 2378, 18780, 1024, 22017, 20898, 1027, 2995, 1025, 1013, 1013, 2797, 1035, 13091, 5833, 18780, 1024, 22017, 20898, 1027, 2995, 1025, 1013, 1013, 2797, 1035, 13091, 7011, 16761, 1024, 14257, 1027, 1015, 1012, 1014, 1025, 2797, 1035, 4309, 2863, 14853, 1024, 4309, 2863, 14853, 1027, 4309, 2863, 14853, 1012, 3904, 1025, 1013, 1013, 28681, 2080, 2693, 2000, 17053, 2015, 5123, 3191, 2239, 2135, 1035, 2110, 8189, 13510, 1024, 3191, 2239, 2135, 2906, 9447, 1026, 1043, 7096, 2546, 1012, 12939, 12259, 1028, 1027, 1031, 1043, 7096, 2546, 1012, 12939, 12259, 1012, 12586, 1010, 1043, 7096, 2546, 1012, 12939, 12259, 1012, 12731, 3363, 12172, 1010, 1043, 7096, 2546, 1012, 12939, 12259, 1012, 5995, 22199, 1033, 1025, 5123, 3191, 2239, 2135, 1035, 17053, 9153, 17389, 22966, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 22017, 20898, 1064, 6151, 28344, 1065, 1027, 1063, 1065, 1025, 5123, 1035, 2131, 9006, 8202, 10288, 29048, 2015, 1006, 1007, 1063, 2292, 14305, 1027, 1000, 1000, 1025, 1013, 1013, 15778, 10288, 29048, 2015, 1012, 2065, 1006, 2023, 1012, 3115, 4063, 11444, 6024, 5054, 3085, 2094, 1007, 1063, 14305, 1009, 1027, 1000, 1001, 5331, 1043, 2140, 1035, 1051, 2229, 1035, 3115, 1035, 16942, 1024, 9585, 1032, 1050, 1000, 1025, 1065, 2065, 1006, 2023, 1012, 25312, 2290, 3207, 13876, 10222, 3085, 2094, 1007, 1063, 14305, 1009, 1027, 1000, 1001, 5331, 1043, 2140, 1035, 4654, 2102, 1035, 25312, 2290, 1035, 5995, 1024, 9585, 1032, 1050, 1000, 1025, 1065, 2065, 1006, 2023, 1012, 14902, 10258, 16503, 8189, 23242, 1007, 1063, 14305, 1009, 1027, 1000, 1001, 5331, 1043, 2140, 1035, 4654, 2102, 1035, 25312, 2290, 1035, 5995, 1024, 9585, 1032, 1050, 1000, 1025, 1065, 2023, 1012, 15778, 10288, 29048, 2015, 1027, 14305, 1025, 1065, 5123, 1035, 2131, 9006, 11442, 12879, 10586, 1006, 1007, 1063, 2292, 11859, 1027, 1000, 1000, 1025, 1013, 1013, 2691, 3207, 23460, 2015, 1012, 11859, 1009, 1027, 1000, 11718, 1000, 1009, 2023, 1012, 4098, 28139, 28472, 1009, 1000, 14257, 1025, 1032, 1050, 1000, 1025, 11859, 1009, 1027, 1000, 11718, 1000, 1009, 2023, 1012, 4098, 28139, 28472, 1009, 1000, 20014, 1025, 1032, 1050, 1000, 1025, 2023, 1012, 2691, 3207, 23460, 2015, 1027, 11859, 1025, 11859, 1027, 1000, 1000, 1025, 1013, 1013, 19449, 3207, 23460, 2015, 2023, 1012, 19449, 3207, 23460, 2015, 1027, 11859, 1025, 11859, 1027, 1000, 1000, 1025, 1013, 1013, 15778, 3207, 23460, 2015, 11859, 1009, 1027, 8703, 11140, 16814, 1012, 17181, 2015, 1035, 11968, 2015, 1035, 15778, 1009, 1000, 1032, 1050, 1000, 1025, 2023, 1012, 15778, 3207, 23460, 2015, 1027, 11859, 1025, 1065, 5123, 1035, 2131, 2368, 3597, 4667, 9006, 29513, 7666, 1006, 17181, 1024, 14902, 2368, 3597, 4667, 1007, 1063, 6942, 1006, 17181, 1007, 1063, 2553, 14902, 2368, 3597, 4667, 1012, 7399, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 7399, 1005, 1010, 1005, 1006, 3643, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 5034, 18259, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 5034, 18259, 1005, 1010, 1005, 1006, 3643, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 12129, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2063, 1005, 1010, 1005, 1006, 3643, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 2213, 2581, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2213, 1005, 1010, 1005, 1006, 3643, 1010, 1021, 1012, 1014, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 2213, 16048, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2213, 1005, 1010, 1005, 1006, 3643, 1010, 2385, 1012, 1014, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 1054, 18259, 4181, 3597, 4667, 1024, 2709, 1031, 1005, 1054, 18259, 2094, 1005, 1010, 1005, 1006, 3643, 1010, 17273, 1012, 1014, 1007, 1005, 1033, 1025, 2553, 14902, 2368, 3597, 4667, 1012, 13091, 2368, 3597, 4667, 1024, 2709, 1031, 1005, 13091, 1005, 1010, 1005, 1006, 3643, 1010, 14257, 1006, 13091, 1035, 5387, 1007, 1007, 1005, 1033, 1025, 12398, 1024, 5466, 2047, 7561, 1006, 1005, 4895, 6342, 9397, 15613, 17181, 1024, 1005, 1009, 17181, 1007, 1025, 1065, 1065, 5123, 1035, 2131, 5524, 2863, 14853, 11263, 27989, 1006, 4309, 2863, 14853, 1024, 4309, 2863, 14853, 1007, 1063, 2292, 4309, 2863, 14853, 18442, 1027, 1000, 1000, 1025, 6942, 1006, 4309, 2863, 14853, 1007, 1063, 2553, 4309, 2863, 14853, 1012, 7399, 5524, 2863, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 7399, 1005, 1025, 3338, 1025, 2553, 4309, 2863, 14853, 1012, 27788, 13778, 5643, 2863, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 27788, 11783, 1005, 1025, 3338, 1025, 2553, 4309, 2863, 14853, 1012, 4895, 7507, 17724, 2475, 5524, 2863, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 4895, 7507, 17724, 2475, 1005, 1025, 3338, 1025, 2553, 4309, 2863, 14853, 1012, 25022, 23585, 15104, 14545, 14853, 1024, 4309, 2863, 14853, 18442, 1027, 1005, 23569, 27605, 5422, 16567, 2239, 1005, 1025, 3338, 1025, 12398, 1024, 5466, 2047, 7561, 1006, 1005, 4895, 6342, 9397, 15613, 4309, 2863, 14853, 1024, 1005, 1009, 4309, 2863, 14853, 1007, 1025, 1065, 2709, 1036, 2310, 2278, 2509, 4309, 2863, 14853, 1006, 2310, 2278, 2509, 3609, 1007, 1063, 2709, 1002, 1063, 4309, 2863, 14853, 18442, 1065, 4309, 2863, 14853, 1006, 3609, 1007, 1025, 1065, 1032, 1050, 1036, 1025, 1065, 5123, 1035, 2131, 2618, 2595, 12260, 15305, 4667, 11263, 27989, 1006, 3853, 18442, 1024, 5164, 1010, 17181, 1024, 14902, 2368, 3597, 4667, 1007, 1063, 9530, 3367, 6177, 1027, 2023, 1012, 1035, 2131, 2368, 3597, 4667, 9006, 29513, 7666, 1006, 17181, 1007, 1025, 2709, 1005, 2310, 2278, 2549, 1005, 1009, 3853, 18442, 1009, 1005, 1006, 2310, 2278, 2549, 3643, 1007, 1063, 2709, 7399, 3406, 1005, 1009, 6177, 1031, 1014, 1033, 1009, 6177, 1031, 1015, 1033, 1009, 1005, 1025, 1065, 1005, 1025, 1065, 5123, 1035, 2131, 2618, 2595, 14273, 8586, 7716, 2075, 11263, 27989, 1006, 3853, 18442, 1024, 5164, 1010, 17181, 1024, 14902, 2368, 3597, 4667, 1007, 1063, 9530, 3367, 10346, 4818, 2368, 3597, 4667, 1027, 1006, 2023, 1012, 1035, 13091, 2378, 18780, 1004, 1004, 17181, 1027, 1027, 1027, 14902, 2368, 3597, 4667, 1012, 7399, 2368, 3597, 4667, 1007, 1029, 14902, 2368, 3597, 4667, 1012, 13091, 2368, 3597, 4667, 1024, 17181, 1025, 9530, 3367, 6177, 1027, 2023, 1012, 1035, 2131, 2368, 3597, 4667, 9006, 29513, 7666, 1006, 10346, 4818, 2368, 3597, 4667, 1007, 1025, 2709, 1005, 2310, 2278, 2549, 1005, 1009, 3853, 18442, 1009, 1005, 1006, 2310, 2278, 2549, 3643, 1007, 1063, 2709, 1005, 1009, 6177, 1031, 1014, 1033, 1009, 1005, 2000, 4179, 2906, 1005, 1009, 6177, 1031, 1015, 1033, 1009, 1005, 1025, 1065, 1005, 1025, 1065, 1013, 1008, 1008, 1008, 1030, 4722, 1008, 1013, 2270, 1035, 7172, 2527, 21724, 12879, 10586, 1006, 17552, 2121, 1024, 3259, 1012, 2918, 7389, 4063, 2121, 1064, 19701, 1007, 1063, 2292, 2224, 7138, 2863, 2361, 1027, 6270, 1025, 2292, 8267, 16102, 15568, 1027, 6270, 1025, 2292, 5923, 3597, 16671, 1027, 1014, 1025, 9530, 3367, 11859, 1027, 2023, 1012, 11859, 1025, 9530, 3367, 17053, 2015, 1027, 2023, 1012, 17053, 2015, 1025, 2065, 1006, 17552, 2121, 1007, 1063, 2224, 7138, 2863, 2361, 1027, 17552, 2121, 1012, 9570, 2953, 1027, 1027, 1027, 20437, 7389, 4063, 2121, 1004, 1004, 1006, 17552, 2121, 2004, 20437, 7389, 4063, 2121, 1007, 1012, 2422, 2863, 8091, 3207, 2595, 1028, 1027, 1014, 1025, 8267, 16102, 15568, 1027, 17053, 2015, 1012, 23942, 16102, 15568, 1004, 1004, 17552, 2121, 1012, 8267, 16102, 15568, 1025, 5923, 3597, 16671, 1027, 17552, 2121, 1012, 9570, 2953, 1027, 1027, 1027, 19937, 7834, 28362, 11563, 2121, 1029, 8785, 1012, 8117, 1006, 2023, 1012, 4098, 14417, 3597, 16671, 1010, 1006, 17552, 2121, 2004, 19937, 7834, 28362, 11563, 2121, 1007, 1012, 5923, 3597, 16671, 1007, 1024, 1014, 1025, 1065, 2065, 1006, 17053, 2015, 1012, 2224, 7138, 2863, 2361, 999, 1027, 1027, 2224, 7138, 2863, 2361, 1007, 1063, 2065, 1006, 2224, 7138, 2863, 2361, 1007, 1063, 11859, 1012, 5587, 3207, 23460, 1006, 8703, 25547, 23460, 1012, 2224, 1035, 2422, 2863, 2361, 1007, 1025, 1065, 2842, 1063, 11859, 1012, 3718, 12879, 3170, 1006, 8703, 25547, 23460, 1012, 2224, 1035, 2422, 2863, 2361, 1007, 1025, 1065, 17053, 2015, 1012, 2224, 7138, 2863, 2361, 1027, 2224, 7138, 2863, 2361, 1025, 1065, 2065, 1006, 17053, 2015, 1012, 5923, 3597, 16671, 999, 1027, 1027, 5923, 3597, 16671, 1007, 1063, 2065, 1006, 5923, 3597, 16671, 1028, 1014, 1007, 1063, 11859, 1012, 5587, 3207, 23460, 1006, 8703, 25547, 23460 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5958, 1010, 2255, 6021, 1010, 2263, 4326, 10984, 2005, 5849, 1005, 1055, 6712, 2009, 2071, 2031, 2790, 2000, 1037, 4458, 6931, 10367, 2004, 2295, 2576, 6186, 1999, 3725, 2018, 4719, 1037, 10392, 3973, 26203, 2765, 1012, 2005, 2416, 2420, 1010, 5738, 1996, 9242, 4533, 2598, 2029, 2003, 1996, 4297, 5063, 6820, 3560, 4292, 2005, 1996, 3744, 2798, 2139, 2273, 9351, 2229, 1999, 15500, 1010, 2028, 2001, 3497, 2000, 8087, 1037, 3232, 2007, 1037, 20228, 19629, 4103, 3038, 2909, 4775, 10503, 2442, 2175, 999, 1998, 2006, 1996, 5066, 2154, 1010, 2009, 2001, 1996, 2739, 17088, 1005, 20228, 19629, 17811, 2029, 2623, 2008, 2909, 4775, 1010, 5849, 1997, 1996, 4956, 2610, 1010, 2018, 2908, 1012, 2025, 2004, 1037, 2765, 1997, 1996, 8090, 1997, 2607, 1010, 4496, 1997, 1996, 1999, 15500, 1010, 2029, 2003, 3517, 2000, 2031, 2178, 2093, 2706, 2000, 2448, 1012, 17117, 2414, 3664, 11235, 3779, 1010, 2383, 2468, 3242, 1997, 1996, 4956, 2610, 3691, 1010, 2018, 2081, 3154, 2002, 2359, 2909, 4775, 2041, 1010, 1998, 2295, 2009, 2003, 7919, 4092, 1996, 2188, 3187, 1005, 1055, 3653, 3217, 26792, 2000, 2425, 3725, 1005, 1055, 2327, 2610, 2708, 2000, 2175, 1010, 2006, 1996, 2154, 11235, 3779, 2165, 2010, 3242, 1010, 1996, 5849, 2623, 2010, 8172, 1012, 2002, 2038, 2127, 2285, 1015, 2000, 3154, 2010, 4624, 1010, 1998, 2010, 4112, 2097, 8184, 2202, 2058, 1012, 1996, 2739, 2234, 2083, 2006, 1996, 2154, 2044, 6317, 2708, 7742, 6285, 10094, 7474, 1010, 1037, 3026, 3424, 1011, 10130, 4686, 2961, 1999, 1996, 2491, 2282, 2012, 2047, 3885, 4220, 2006, 2251, 2570, 1010, 2384, 1010, 1996, 2154, 3744, 2798, 2139, 2273, 9351, 2229, 2001, 2730, 1010, 2018, 2445, 3350, 1012, 10739, 3980, 2013, 2745, 15352, 25196, 1010, 3772, 2005, 1996, 2139, 2273, 9351, 2229, 2155, 1010, 2006, 2129, 3744, 2798, 1010, 29116, 4453, 2004, 1037, 7404, 8343, 1010, 2001, 9505, 2046, 4518, 4381, 8529, 4063, 16365, 2276, 2011, 13780, 3738, 1010, 1998, 2915, 2757, 1010, 5887, 2072, 10094, 7474, 2056, 1996, 2168, 2518, 2071, 4148, 2153, 1012, 2028, 3160, 5689, 2058, 2023, 6771, 2013, 1996, 2707, 2038, 2042, 2339, 2610, 2081, 2053, 3535, 2000, 20010, 8113, 1996, 3395, 2379, 2010, 2188, 1010, 2029, 2001, 2104, 9867, 1010, 1998, 2339, 1011, 3391, 2065, 2027, 3373, 2002, 2453, 2022, 1037, 5920, 9472, 1011, 2002, 2001, 3039, 2612, 2000, 3604, 2006, 2270, 3665, 1010, 1998, 2175, 2091, 2000, 1996, 7270, 1012, 2178, 5936, 1996, 6270, 4447, 2008, 3744, 2798, 2018, 26979, 21501, 1010, 1998, 1996, 2777, 1005, 1055, 3988, 15175, 2791, 2000, 2130, 6449, 2027, 2018, 2730, 1996, 3308, 2158, 1012, 14120, 2000, 3980, 2013, 2745, 15352, 1010, 5887, 2072, 10094, 7474, 3555, 2000, 2031, 2042, 2409, 2006, 1996, 2851, 1997, 1996, 3169, 2008, 9867, 3738, 2018, 13567, 4453, 1037, 1000, 8343, 1000, 2975, 14201, 1999, 9676, 2346, 1010, 10722, 4877, 2063, 2940, 1010, 2348, 1999, 2755, 1996, 2961, 1010, 1000, 3581, 1000, 2018, 2069, 2056, 1996, 2711, 2975, 2001, 4276, 1037, 2117, 2298, 1012, 2610, 2636, 2013, 1996, 2051, 2265, 2002, 2001, 3615, 2000, 2069, 2004, 2019, 1000, 20293, 3287, 1000, 1012, 1999, 2755, 1996, 3478, 5920, 9472, 16543, 28609, 3183, 1996, 2610, 2020, 10743, 2044, 2001, 7880, 2379, 9676, 2346, 1010, 2030, 4518, 4381, 1012, 2002, 2018, 2908, 2000, 10309, 1010, 2101, 2635, 1996, 9944, 1011, 2732, 2000, 3000, 1010, 1998, 2001, 2776, 14620, 1999, 4199, 1012, 5887, 2072, 10094, 7474, 6380, 2383, 2124, 3599, 2073, 2610, 3197, 2020, 2076, 1996, 3169, 1012, 2002, 2036, 3555, 2025, 2000, 2031, 2042, 5204, 2008, 3744, 2798, 1005, 15882, 1010, 4820, 2010, 8720, 1010, 2001, 2179, 2006, 1996, 2835, 2279, 2000, 2029, 2002, 2001, 2730, 1012, 2007, 1996, 2694, 2739, 4129, 1997, 2909, 4775, 10503, 1005, 1055, 8172, 1010, 2057, 2387, 1037, 12528, 1997, 2909, 4775, 13856, 2012, 1037, 2811, 3034, 2008, 2154, 1999, 2384, 2008, 1996, 2610, 2018, 2730, 1037, 2124, 7404, 8343, 1012, 2009, 2001, 2004, 2065, 1996, 2610, 2018, 2787, 2000, 3102, 1037, 1000, 9452, 1000, 1010, 1998, 2059, 2383, 2730, 2019, 7036, 2158, 1010, 2027, 2787, 2008, 2002, 2052, 2031, 2000, 2079, 1012, 2111, 2031, 2042, 3038, 2005, 2070, 2051, 2008, 10503, 1010, 2066, 2010, 17283, 1999, 22501, 2395, 2012, 1996, 2051, 2001, 1037, 1038, 1011, 16374, 1012, 2008, 2453, 2031, 2042, 2204, 3426, 2005, 1996, 5849, 2000, 12897, 1010, 2750, 1996, 8884, 5150, 2002, 2363, 2013, 2111, 1999, 1996, 4428, 2283, 1010, 1998, 5546, 2059, 3664, 1010, 6358, 27656, 1012, 2021, 2339, 2085, 1029, 2001, 2010, 8172, 2505, 2000, 2079, 2007, 1996, 4288, 1997, 3744, 2798, 2139, 2273, 9351, 2229, 1010, 2030, 2038, 2008, 3024, 1037, 22369, 20150, 2013, 2060, 5320, 1029, 3744, 2798, 1005, 9064, 2031, 3843, 1996, 2206, 4861, 1024, 1996, 2273, 9351, 2229, 2155, 2003, 7135, 2011, 1996, 2739, 1997, 2909, 4775, 10503, 1005, 1055, 8172, 1010, 2004, 2009, 3310, 1999, 1996, 2690, 1997, 1996, 1999, 15500, 2046, 3744, 1005, 1055, 2331, 1012, 2004, 2132, 1997, 1996, 4956, 2610, 1010, 2909, 4775, 10503, 2323, 2031, 2042, 4821, 26771, 2005, 1996, 2331, 1997, 3744, 2798, 2139, 2273, 9351, 2229, 1012, 2057, 2903, 2002, 5121, 6468, 5368, 2005, 1996, 3658, 2409, 2055, 3744, 1998, 1996, 3104, 2039, 2011, 1996, 2610, 1999, 1996, 10530, 1997, 1996, 5008, 1012, 2002, 2130, 2699, 2000, 2644, 1996, 12997, 9468, 11538, 2256, 5542, 1005, 1055, 2331, 1012, 1996, 3768, 1997, 17842, 1997, 1996, 2406, 1005, 1055, 2087, 3026, 2610, 2961, 2003, 2028, 1997, 1996, 2087, 16880, 5919, 1997, 2023, 10576, 1012, 2005, 2909, 4775, 10503, 2000, 2110, 2008, 2002, 2038, 5295, 1005, 2025, 2138, 1997, 2151, 15428, 2030, 15399, 1997, 1996, 2436, 1005, 3568, 19444, 2015, 2256, 6772, 2008, 2002, 1998, 1996, 4956, 2610, 2145, 10214, 2000, 5138, 2440, 5368, 2005, 3744, 1005, 1055, 2331, 1012, 2005, 1996, 2155, 1010, 2909, 4775, 10503, 24642, 2515, 2025, 2689, 2505, 1012, 2256, 3579, 2003, 2006, 1996, 1999, 15500, 2073, 2057, 3246, 2057, 2064, 2424, 2041, 1996, 2878, 3606, 2055, 3744, 1005, 1055, 4288, 1012, 2057, 26751, 1996, 14392, 1998, 9556, 1998, 3246, 2009, 2097, 3288, 2149, 3553, 2000, 3425, 1998, 2005, 4084, 2000, 2022, 2579, 2000, 5676, 2008, 2053, 2060, 2155, 2038, 2000, 9015, 1996, 21782, 2057, 2031, 2058, 1996, 2197, 2093, 2086, 1012, 1008, 9597, 2000, 10503, 1005, 1055, 8172, 2265, 2019, 15741, 24453, 1997, 4331, 4193, 1996, 4956, 2610, 3094, 1012, 4422, 11687, 24066, 1010, 1037, 2280, 4112, 3353, 5849, 2040, 2768, 2004, 5622, 2497, 17183, 4018, 2005, 3664, 1997, 2414, 1010, 2056, 2008, 2188, 3187, 14855, 2278, 15549, 3044, 2001, 2036, 6150, 1999, 10503, 1005, 1055, 6712, 1012, 2002, 2409, 1996, 4035, 1000, 2006, 1996, 2154, 1996, 3664, 4150, 1996, 3242, 1997, 1996, 4956, 2610, 3691, 2002, 2758, 22017, 1998, 1996, 5849, 14523, 1012, 1000, 2025, 2069, 2008, 1010, 2009, 2003, 2941, 2069, 1996, 2188, 3187, 2008, 2071, 2486, 1996, 5849, 2000, 2681, 1998, 3568, 1996, 2188, 3187, 2071, 2031, 2357, 2461, 1998, 2056, 2000, 4775, 10503, 1998, 2000, 1996, 3664, 1024, 1005, 1045, 1005, 1049, 3374, 1010, 2017, 2123, 1005, 1056, 2031, 1996, 2373, 1010, 3664, 1010, 2000, 2079, 2008, 1012, 1045, 2215, 1996, 5849, 2000, 2994, 1012, 1005, 2021, 2016, 2134, 1005, 1056, 1025, 2016, 3039, 1996, 5849, 2000, 2175, 1012, 1000, 11687, 24066, 2081, 2010, 2171, 2004, 1996, 2087, 3026, 10132, 5637, 2610, 2961, 1010, 1998, 2005, 7694, 1037, 4314, 3343, 2006, 4319, 2224, 1011, 3391, 17985, 1011, 2247, 2007, 2007, 2010, 4073, 2000, 5114, 3404, 2013, 2402, 2304, 2111, 2043, 2002, 2001, 3474, 3625, 2005, 21107, 1999, 12559, 11031, 1012, 6358, 27656, 3555, 2008, 2045, 2018, 2042, 1037, 2310, 13629, 5946, 2114, 10503, 2013, 1996, 2034, 2154, 1997, 2010, 12396, 5605, 1012, 1000, 1996, 13079, 5755, 2020, 2025, 2216, 2040, 10648, 2032, 2013, 1996, 2187, 2021, 2216, 2040, 2215, 2019, 2203, 2000, 2054, 2027, 2655, 1005, 10317, 6149, 1005, 1011, 2008, 2003, 1010, 2512, 1011, 16939, 1516, 21107, 1999, 2414, 1012, 1000, 8299, 1024, 1013, 1013, 7479, 1012, 6697, 1012, 2522, 1012, 2866, 1013, 2866, 1013, 2263, 1013, 13323, 1013, 6021, 1013, 10503, 1012, 2414, 1996, 10503, 8172, 4076, 10281, 1999, 1996, 2610, 2486, 2993, 2058, 13519, 2011, 2877, 2304, 1998, 4004, 3738, 2008, 5762, 2964, 2003, 2145, 7320, 2426, 2317, 8628, 1012, 5564, 1010, 2067, 2012, 1996, 9242, 1010, 6467, 1998, 14009, 2020, 2145, 14163, 13112, 2058, 10960, 2011, 6317, 2708, 7742, 10094, 7474, 2000, 3980, 2004, 2000, 2054, 2253, 3308, 1999, 1996, 3169, 2029, 4504, 1999, 1996, 2331, 1997, 3744, 2798, 2139, 2273, 23072, 1012, 1000, 1045, 2572, 2025, 2469, 2505, 2106, 2941, 2175, 3308, 1000, 1010, 3880, 5887, 2072, 10094, 7474, 1012, 2356, 2059, 3251, 2045, 2001, 1037, 2613, 3891, 2008, 2009, 2071, 4148, 2153, 1010, 1996, 2961, 3880, 1024, 1000, 2045, 2003, 1010, 2909, 1010, 2748, 1012, 1000, 2023, 2003, 1037, 10503, 23032, 2128, 2694, 2739, 8333, 1997, 2010, 2570, 2251, 2384, 5027, 2358, 10085, 4381, 2273, 9351, 2229, 2824, 1997, 3041, 2008, 2154, 1012, 2026, 3638, 1997, 10503, 3491, 2006, 2694, 2008, 3944, 1011, 2445, 2008, 2002, 4447, 2025, 2000, 2031, 2124, 2040, 2018, 2042, 2730, 4385, 1012, 1010, 2003, 2008, 2002, 7034, 1000, 2151, 2331, 2003, 15140, 1000, 1012, 1045, 2572, 2025, 6224, 2000, 2404, 2032, 1999, 1037, 13026, 2422, 1045, 2572, 8025, 2008, 2002, 2081, 2023, 7615, 2445, 2008, 2002, 4447, 2025, 2000, 2031, 2124, 2054, 2018, 2941, 2908, 2091, 1998, 2008, 2019, 7036, 2266, 1997, 1996, 2270, 2018, 2042, 10676, 2000, 9017, 1012, 2026, 3638, 2003, 2036, 2008, 2206, 2006, 2013, 2010, 1000, 2151, 2331, 2003, 15140, 1000, 17674, 2002, 2001, 11177, 2135, 2404, 2104, 3778, 2000, 26056, 2040, 2018, 2042, 2730, 1029, 2009, 2001, 2059, 5939, 12707, 2002, 2056, 2008, 2009, 11333, 16183, 2140, 10975, 2102, 1997, 2019, 2412, 4423, 3424, 9452, 6728, 4385, 1012, 1010, 1011, 2002, 4912, 2000, 13366, 2571, 6593, 1996, 5793, 1011, 2092, 2040, 2038, 2042, 2915, 1029, 2000, 6714, 2185, 2013, 1996, 5025, 2100, 4767, 1997, 1996, 6778, 1012, 1999, 2557, 2549, 1005, 1055, 1996, 2865, 2265, 2029, 2246, 2012, 10503, 2002, 2001, 10648, 2011, 1996, 2132, 1997, 1996, 4126, 12060, 2523, 1997, 9419, 2000, 1996, 2865, 1998, 10468, 11703, 7416, 6455, 2012, 2008, 2570, 2251, 2384, 2811, 3034, 1011, 16215, 5332, 2003, 1996, 2132, 1997, 1996, 13675, 2050, 2437, 1996, 3442, 19238, 1012, 2021, 1045, 2031, 2464, 2053, 2028, 2000, 3058, 2202, 2039, 2010, 2570, 2251, 2384, 7615, 2008, 1000, 2151, 2331, 2003, 15140, 1000, 2012, 1037, 2051, 2043, 2002, 4447, 2025, 2000, 2031, 2124, 2054, 2018, 2908, 2091, 1012, 2610, 2079, 2025, 2079, 11883, 20228, 19513, 12762, 2043, 2027, 8526, 1999, 4273, 5607, 21100, 1011, 3780, 8860, 2031, 20228, 28198, 1997, 4311, 2008, 2027, 17678, 16098, 16089, 3366, 2107, 5607, 21100, 2000, 3710, 2004, 1037, 5432, 2000, 2500, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2009, 3047, 999, 2047, 2259, 18079, 1012, 4080, 12731, 19506, 2772, 2046, 2375, 1037, 9095, 2008, 11500, 7796, 1037, 18667, 2078, 2306, 2184, 2086, 1997, 3988, 5622, 19023, 5397, 1012, 2023, 2047, 2375, 2038, 2116, 13494, 2005, 29300, 2015, 1999, 2047, 2259, 2004, 2092, 2004, 2408, 1996, 2406, 1012, 2339, 2003, 2047, 2259, 2061, 2590, 1029, 2045, 2024, 27502, 1010, 27533, 29300, 2015, 2007, 1037, 6105, 1999, 2047, 2259, 1012, 2008, 2003, 1022, 1003, 1997, 2035, 29300, 2015, 1999, 1996, 1057, 1012, 1055, 1012, 2023, 2028, 2110, 2097, 2275, 1037, 20056, 2005, 2500, 7161, 2000, 3413, 2714, 1999, 2115, 2110, 1012, 1996, 5245, 2005, 18667, 2078, 1011, 4810, 29300, 2015, 2038, 2042, 2105, 2005, 1037, 2200, 2146, 2051, 999, 1996, 2137, 11500, 2523, 2160, 1997, 10284, 4233, 1037, 4367, 1999, 3546, 4637, 27802, 2495, 2004, 4547, 3192, 2005, 1996, 5068, 6821, 1010, 1998, 28667, 2239, 23141, 2008, 2597, 1999, 2456, 1012, 1996, 2820, 1997, 4200, 1521, 1055, 2925, 1997, 8329, 3189, 4455, 2005, 3770, 1003, 1997, 29300, 2015, 2000, 2907, 5065, 1521, 1055, 5445, 2011, 12609, 1010, 9073, 1996, 2342, 2005, 3020, 2495, 1999, 29300, 2015, 2000, 2202, 2729, 1997, 1996, 3020, 11619, 5022, 1999, 2256, 9871, 2291, 1012, 2167, 7734, 2106, 5478, 1037, 18667, 2078, 2127, 2494, 1010, 2043, 2009, 2001, 17068, 1012, 2004, 1037, 2235, 2110, 2007, 1996, 2069, 9095, 2005, 1037, 5065, 1521, 1055, 3014, 1010, 1996, 8329, 15843, 2018, 1037, 4997, 3466, 2006, 2008, 9095, 1012, 2174, 1010, 2085, 2008, 2047, 2259, 2038, 2979, 2023, 2046, 2375, 1010, 1998, 2007, 1996, 2490, 1998, 2147, 1997, 1996, 2137, 11500, 2523, 1010, 2035, 1996, 2110, 2895, 6056, 2015, 1010, 9779, 14536, 1998, 1996, 2728, 3536, 3779, 3192, 1010, 2023, 2003, 2025, 2183, 2185, 1012, 2023, 2001, 1996, 25486, 2391, 1012, 2302, 2893, 2046, 1996, 2470, 1997, 2339, 1037, 18667, 2078, 2323, 2022, 3223, 1010, 1996, 6094, 1999, 2047, 2259, 3264, 2195, 4436, 1012, 4637, 3906, 3264, 2008, 2138, 1997, 4852, 11619, 1997, 1996, 2137, 9871, 2291, 1010, 1998, 5901, 9186, 2974, 1010, 1996, 4547, 7547, 1997, 1996, 29300, 2442, 2022, 4423, 1012, 2009, 2036, 3090, 2008, 1996, 6821, 1997, 1996, 2925, 2442, 2022, 4810, 2000, 4256, 2007, 3674, 12736, 2004, 18843, 1998, 3208, 1997, 3375, 5022, 1012, 2065, 2017, 2644, 1998, 2228, 2055, 2009, 1010, 1996, 29300, 2003, 2788, 1996, 2560, 5161, 9009, 2006, 1037, 4800, 10521, 6895, 28296, 5649, 2136, 1012, 19637, 1010, 27178, 2015, 1010, 2358, 1010, 6887, 27292, 16233, 1998, 2591, 3667, 2035, 2024, 3223, 2000, 2031, 5065, 1521, 1055, 1010, 3040, 1521, 1055, 2030, 11316, 5445, 1012, 2750, 2108, 1996, 2560, 4547, 2135, 4810, 1010, 1996, 29300, 2411, 2038, 2028, 1997, 1996, 2087, 2590, 4395, 2006, 1996, 9871, 2136, 1012, 2061, 1010, 2054, 2515, 1996, 3021, 2360, 3599, 1029, 1996, 3021, 1010, 20118, 15136, 20958, 1011, 1038, 1013, 2061, 6163, 2575, 2620, 2163, 2038, 2048, 2364, 3033, 1012, 2034, 1010, 2009, 9005, 1037, 5741, 8329, 2565, 9312, 3222, 2000, 2191, 11433, 2006, 13500, 2000, 4443, 2046, 8329, 1010, 11343, 1998, 3229, 2000, 27802, 3454, 1998, 2060, 3141, 3314, 1012, 2023, 3189, 1998, 2049, 9556, 2024, 2349, 2000, 1996, 3099, 2306, 2260, 2706, 1012, 1996, 2117, 2112, 1010, 2029, 2003, 4621, 3202, 1010, 2163, 2008, 1523, 1999, 2344, 2000, 3613, 2000, 5441, 8819, 2004, 1037, 5068, 2658, 6821, 1999, 2047, 2259, 2110, 1010, 2031, 12754, 1037, 27802, 3014, 2030, 3020, 1999, 8329, 2306, 2184, 2086, 1997, 3988, 5622, 19023, 5397, 1012, 1524, 2023, 3563, 2930, 1017, 3138, 3466, 2324, 2706, 2044, 1996, 2552, 2150, 2375, 1006, 11703, 1012, 2539, 1010, 2418, 1007, 1012, 2783, 29300, 2015, 1010, 2004, 2092, 2004, 2216, 2747, 8302, 2030, 14223, 9920, 2046, 1037, 2565, 8225, 5068, 11500, 4621, 3058, 1997, 2023, 2552, 1006, 2029, 2003, 11703, 1012, 2539, 1010, 2418, 1007, 2024, 5615, 2098, 1999, 1012, 2023, 2965, 1996, 8910, 1997, 1996, 2375, 4618, 2025, 6611, 2000, 2068, 1012, 2053, 4797, 11500, 2031, 2116, 14477, 3619, 13777, 2098, 3980, 1998, 2116, 3633, 2514, 1996, 2375, 2987, 1521, 1056, 2030, 2180, 1521, 1056, 6611, 2000, 2068, 1012, 1045, 2572, 2469, 1996, 2604, 2005, 5068, 2658, 11500, 1999, 2047, 2259, 2097, 2022, 4640, 2582, 15563, 2006, 2023, 1012, 2054, 2515, 2023, 2375, 2812, 2005, 2017, 1029, 5622, 19023, 5397, 1999, 2047, 2259, 1024, 2065, 2017, 2907, 1037, 6105, 1999, 2047, 2259, 1010, 2130, 2065, 2017, 2024, 2025, 2551, 2045, 1010, 2017, 2024, 5615, 2098, 1999, 1012, 2174, 1010, 2005, 2216, 2040, 2101, 4607, 1996, 9518, 2004, 2019, 29300, 1010, 2065, 2017, 2215, 2000, 2022, 1037, 20174, 1010, 2030, 2907, 1037, 6105, 1999, 2047, 2259, 1010, 2017, 2097, 2991, 2104, 2023, 9095, 1012, 2023, 9095, 2003, 2008, 2017, 4663, 1037, 5065, 1521, 1055, 3014, 2030, 3020, 1999, 8329, 1006, 1996, 2375, 2163, 8329, 1007, 2306, 2184, 2086, 1997, 2115, 3988, 5622, 19023, 5397, 1012, 2005, 2742, 1024, 2017, 2024, 3970, 2046, 2019, 4748, 2078, 2565, 2005, 2023, 2279, 2991, 1999, 3146, 1012, 2017, 2202, 2115, 3988, 11360, 3146, 2000, 2468, 2019, 29300, 1012, 2005, 3056, 4436, 1010, 2017, 5630, 2000, 2693, 2000, 2047, 2259, 1012, 2241, 2006, 1996, 2783, 2862, 1997, 2216, 11819, 2013, 18667, 2078, 1999, 2184, 1010, 2017, 2024, 2025, 5615, 2098, 1999, 1012, 2023, 2965, 2008, 2115, 5119, 2000, 2131, 1037, 18667, 2078, 2030, 3020, 2318, 2007, 2115, 3988, 6105, 1012, 6094, 1999, 2115, 2110, 1024, 2116, 2163, 2031, 2641, 2023, 6094, 1998, 2020, 3666, 2047, 2259, 2007, 2307, 11162, 1012, 2007, 2023, 3021, 1521, 1055, 6019, 2046, 2375, 1999, 2047, 2259, 1010, 2017, 2097, 2156, 2116, 2062, 2163, 2693, 2646, 21991, 6094, 2058, 1996, 2279, 2261, 2086, 1012, 2047, 3933, 2036, 2038, 14223, 6094, 1012, 4547, 9804, 1024, 2045, 2024, 2116, 2783, 7047, 2005, 13523, 7277, 9513, 1999, 8329, 1010, 2007, 2367, 2110, 13797, 2090, 9827, 1010, 5482, 1998, 5065, 1521, 1055, 3454, 1012, 1999, 7547, 2005, 2023, 2000, 2175, 2046, 3466, 1010, 2045, 2097, 2022, 2062, 7047, 2025, 2069, 1999, 2047, 2259, 1010, 2021, 2036, 2408, 1996, 2406, 1012, 2045, 2024, 2116, 29300, 1011, 2000, 1011, 18667, 2078, 3454, 3784, 2004, 2092, 1010, 2061, 1045, 2052, 5987, 2000, 2156, 2122, 3454, 7818, 1012, 5615, 2098, 1024, 2065, 2017, 2024, 5615, 2098, 1999, 2138, 2017, 2024, 2019, 29300, 1010, 2017, 2145, 2089, 2215, 2000, 5136, 2183, 2000, 2131, 2115, 18667, 2078, 1012, 2004, 2062, 8323, 2298, 2000, 10887, 18667, 2078, 1011, 4810, 29300, 2015, 1010, 1998, 2004, 6094, 5942, 18667, 2078, 2030, 3020, 1010, 2017, 2089, 2215, 2000, 5136, 2183, 2067, 2000, 2082, 1012, 4852, 2115, 2495, 2467, 2097, 2507, 2017, 2062, 7047, 1012, 2023, 3021, 2106, 2025, 4148, 11585, 1012, 2009, 2165, 2062, 2084, 2403, 2086, 1997, 11133, 2075, 1012, 1045, 5987, 2008, 2057, 2156, 2256, 2279, 2110, 2000, 5587, 2023, 9095, 2306, 1996, 2279, 2261, 2086, 1012, 2009, 2003, 7823, 2147, 4458, 6094, 1012, 2116, 8628, 1010, 9617, 1011, 2047, 2259, 9568, 2923, 1998, 3021, 13162, 2499, 2926, 2524, 2058, 1996, 2197, 2095, 2000, 2156, 1996, 3144, 6019, 1997, 2023, 3021, 1012, 1523, 1996, 6019, 1997, 2023, 3021, 2046, 2375, 11138, 2086, 1997, 2551, 2646, 1037, 2995, 5792, 1997, 3622, 1011, 2729, 11500, 1010, 5482, 1998, 27802, 4513, 1010, 6821, 10489, 1998, 15631, 1010, 9871, 4128, 1998, 2658, 8924, 1998, 7325, 13010, 1010, 1524, 2056, 8129, 21896, 1010, 5003, 1010, 29300, 1010, 17032, 2078, 1010, 2627, 3237, 2472, 1997, 9617, 2047, 2259, 1012, 1523, 1999, 1996, 2203, 1010, 2009, 2003, 1037, 2663, 2005, 2035, 29300, 2015, 1998, 2256, 5022, 999, 1524, 5352, 3141, 2000, 1520, 7414, 1037, 5065, 1521, 1055, 3014, 1999, 8329, 1521, 4773, 14142, 2683, 1024, 29300, 2000, 18667, 2078, 1024, 25705, 2075, 2115, 6180, 6459, 2007, 2115, 2476, 3289, 1006, 1015, 3967, 17850, 1007, 2007, 1996, 12832, 2008, 3770, 1003, 1997, 11500, 2907, 1037, 5065, 1521, 1055, 3014, 2011, 12609, 1010, 2116, 29300, 1521, 1055, 2089, 2022, 6195, 10787, 2037, 2495, 1012, 2031, 2017, 2641, 2054, 2752, 2306, 8329, 2017, 2453, 2066, 2000, 8849, 1029, 2453, 3056, 6180, 6459, 2393, 2017, 5959, 2070, 8329, 2569, 7368, 2062, 2084, 2500, 1029, 2003, 2115, 3959, 2000, 2147, 1999, 2968, 1010, 3447, 1010, 2495, 2030, 2470, 1029, 2003, 2115, 4792, 2000, 4468, 3563, 3105, 5704, 2107, 2004, 2968, 1029, 3046, 2000, 25705, 2115, 20828, 1998, 6180, 6459, 2007, 1037, 8329, 2535, 2017, 2453, 5959, 999, 3383, 2045, 2003, 2019, 2181, 1997, 8329, 2017, 4033, 1521, 1056, 2641, 2004, 1037, 6061, 2005, 2017, 1012, 2004, 2017, 5630, 2000, 2582, 2115, 2495, 1010, 2019, 4106, 1997, 2470, 1998, 3265, 6180, 6459, 2089, 2393, 2017, 25705, 2115, 3289, 2306, 8329, 2752, 2017, 2453, 5959, 1996, 2087, 1012, 4773, 24594, 2683, 1024, 27673, 2000, 2082, 5147, 1024, 2003, 2085, 1996, 2051, 2005, 1037, 18667, 2078, 1029, 1006, 1015, 3967, 17850, 1007, 2974, 3431, 1012, 9871, 3431, 1012, 1998, 8329, 2003, 5278, 1012, 5083, 2830, 1999, 2115, 2476, 2011, 27673, 2000, 2082, 5147, 999, 2007, 1996, 12609, 3125, 1997, 3770, 1003, 1997, 11500, 3173, 1037, 5065, 1521, 1055, 3014, 1010, 2054, 2003, 1996, 2783, 4353, 1997, 5445, 2306, 8329, 1029, 2054, 2592, 2079, 2017, 2342, 2000, 5136, 2000, 2393, 2017, 7323, 2115, 18667, 2078, 1998, 2000, 2468, 1037, 2112, 1997, 1996, 3770, 1003, 1029, 2468, 6727, 1998, 12774, 2007, 2023, 4773, 3981, 2099, 1012, 8292, 16576, 2487, 1011, 3438, 1024, 7414, 5445, 2011, 3292, 2495, 1006, 1015, 3967, 17850, 1007, 10787, 1999, 1996, 8329, 9518, 1010, 1998, 1999, 2070, 3572, 2130, 8498, 1037, 2783, 2597, 1010, 2089, 5478, 1037, 2709, 2000, 3834, 2495, 1012, 4192, 2000, 2082, 2064, 2022, 4830, 16671, 2075, 2005, 4639, 26262, 1012, 20120, 2147, 1010, 2155, 1010, 1998, 3151, 4280, 5683, 2066, 2019, 5263, 10859, 1012, 2122, 5876, 2191, 3292, 2495, 1037, 14874, 1010, 1037, 16166, 1010, 1998, 2411, 1996, 2069, 4522, 1012, 2023, 11336, 2097, 3073, 11500, 2007, 2592, 2055, 11381, 3834, 22496, 2083, 3292, 2495, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5179, 1008, 1044, 1011, 5179, 1008, 1044, 1009, 3590, 1008, 1044, 1008, 1008, 1016, 1999, 1996, 2433, 1062, 1008, 1044, 1008, 1008, 1016, 1009, 1056, 1009, 1057, 1008, 1044, 1998, 2507, 1062, 1012, 14010, 4671, 1011, 1057, 1011, 6273, 1009, 9800, 21926, 16576, 2683, 2575, 2475, 1008, 1057, 1008, 1008, 1016, 1009, 1016, 1008, 1057, 1008, 1008, 1018, 1011, 9800, 21926, 16576, 2683, 2575, 2475, 1008, 1057, 1008, 1008, 1016, 1999, 1996, 2433, 1062, 1008, 1057, 1008, 1008, 1018, 1009, 1047, 1008, 1057, 1008, 1008, 1016, 1009, 1058, 1009, 1038, 1008, 1057, 1008, 1008, 1017, 1009, 1052, 1008, 1057, 1998, 2507, 1058, 1012, 1011, 6273, 4671, 1006, 1011, 24061, 1008, 1061, 1011, 28977, 2692, 1008, 1061, 1009, 28601, 2509, 1008, 1061, 1007, 1008, 1006, 1014, 1008, 1061, 1009, 1016, 1008, 1061, 1009, 1014, 1008, 1061, 1007, 1011, 1017, 1008, 1061, 1008, 1008, 1016, 1011, 1016, 1008, 1061, 1008, 1008, 1016, 1009, 1020, 1008, 1061, 1008, 1008, 1016, 2004, 1037, 1008, 1061, 1008, 1008, 1016, 1009, 1045, 1009, 1056, 1008, 1061, 1998, 2507, 1037, 1012, 4583, 23777, 4671, 1006, 1011, 1016, 1008, 1055, 1011, 1055, 1009, 1018, 1008, 1055, 1007, 1008, 1006, 1017, 1009, 1016, 1011, 1017, 1007, 1008, 1006, 1011, 10550, 1011, 5986, 1009, 2656, 1007, 1008, 1006, 1055, 1009, 1014, 1008, 1055, 1011, 1019, 1008, 1055, 1007, 2004, 1044, 1008, 1055, 1009, 1056, 1008, 1055, 1008, 1008, 1016, 1009, 1037, 1998, 2507, 1056, 1012, 15471, 2575, 4671, 1011, 1016, 1008, 1045, 1008, 1008, 1017, 1009, 5018, 15136, 2575, 1008, 1045, 1011, 9683, 24096, 1008, 1045, 1009, 2676, 1011, 4293, 10790, 2683, 1008, 1045, 1009, 1016, 1008, 1045, 1008, 1008, 1016, 2004, 1039, 1009, 1059, 1008, 1045, 1009, 1038, 1008, 1045, 1008, 1008, 1016, 1009, 1054, 1008, 1045, 1008, 1008, 1017, 1998, 2507, 1038, 1012, 1016, 4671, 1006, 1011, 3938, 1008, 1044, 1009, 4090, 1008, 1044, 1011, 3429, 1008, 1044, 1007, 1008, 1006, 1022, 1011, 5354, 1009, 1023, 1007, 2004, 1052, 1009, 1049, 1008, 1044, 1998, 2507, 1052, 1012, 1014, 4671, 1006, 2861, 1011, 1020, 1008, 1046, 1008, 1008, 1017, 1011, 2861, 1007, 1008, 1006, 1011, 1016, 1008, 1046, 1011, 6275, 1008, 1046, 1011, 4805, 1008, 1046, 1007, 1008, 1006, 1011, 1015, 1009, 1016, 1011, 1018, 1007, 1999, 1996, 2433, 1058, 1008, 1046, 1008, 1008, 1018, 1009, 1051, 1008, 1046, 1008, 1008, 1016, 1009, 1062, 1009, 1042, 1008, 1046, 1009, 1061, 1008, 1046, 1008, 1008, 1017, 1998, 2507, 1058, 1012, 1011, 21035, 2620, 4671, 1006, 1011, 1016, 1008, 1045, 1011, 1045, 1009, 1019, 1008, 1045, 1007, 1008, 1006, 10715, 1011, 4466, 1009, 4185, 1009, 1006, 1014, 1009, 1017, 1011, 1015, 1007, 1008, 1006, 1017, 1011, 1016, 1011, 1017, 1007, 1007, 1008, 1006, 1006, 1014, 1011, 1045, 1009, 1014, 1007, 1008, 1006, 1015, 1009, 1020, 1011, 1016, 1007, 1009, 1020, 1008, 1045, 1011, 1016, 1008, 1045, 1011, 1045, 1007, 1999, 1996, 2433, 1039, 1008, 1045, 1009, 1048, 1009, 1053, 1008, 1045, 1008, 1008, 1016, 1998, 2507, 1053, 1012, 1011, 17295, 4373, 24388, 2063, 4261, 2549, 1011, 4261, 2549, 1011, 11118, 2692, 1008, 1060, 1009, 27234, 2549, 1008, 1060, 2000, 1996, 2433, 1053, 1009, 1038, 1008, 1060, 1998, 2507, 1038, 1012, 19883, 2549, 4671, 1006, 1015, 1011, 1019, 1009, 1016, 1007, 1008, 1006, 1011, 1017, 1008, 1059, 1008, 1008, 1017, 1009, 20741, 2581, 2581, 2683, 1011, 20741, 2581, 2620, 2487, 1009, 23609, 1008, 1059, 1008, 1008, 1017, 1007, 2004, 1046, 1008, 1059, 1009, 1039, 1009, 1062, 1008, 1059, 1008, 1008, 1016, 1009, 1058, 1008, 1059, 1008, 1008, 1017, 1998, 2507, 1058, 1012, 1011, 8732, 2549, 4671, 1006, 1011, 3943, 1008, 1040, 1009, 1019, 1008, 1040, 1008, 1008, 1016, 1009, 3943, 1008, 1040, 1007, 1008, 1006, 1006, 1014, 1009, 1014, 1009, 1015, 1007, 1008, 1006, 1011, 1016, 1008, 1040, 1011, 1015, 1009, 1015, 1007, 1009, 1006, 1011, 1015, 1011, 1016, 1011, 1019, 1007, 1008, 1006, 1011, 1017, 1009, 1017, 1009, 2340, 1008, 1040, 1007, 1007, 2004, 1060, 1008, 1040, 1008, 1008, 1017, 1009, 1038, 1008, 1040, 1009, 1057, 1008, 1040, 1008, 1008, 1016, 1009, 1046, 1998, 2507, 1060, 1012, 1011, 10332, 4373, 24388, 2063, 1006, 1016, 1011, 4008, 22610, 1008, 1047, 1008, 1008, 1016, 1011, 6391, 1008, 1047, 1011, 19681, 1008, 1047, 1009, 4008, 22932, 1008, 1047, 1008, 1008, 1016, 1007, 1008, 1006, 2385, 1011, 2385, 1011, 1020, 1008, 1047, 1007, 1008, 1006, 1011, 1017, 1009, 1017, 1009, 1016, 1008, 1047, 1007, 2000, 1045, 1008, 1047, 1008, 1008, 1016, 1009, 1040, 1008, 1047, 1008, 1008, 1017, 1009, 1037, 1008, 1047, 1009, 1056, 1008, 1047, 1008, 1008, 1018, 1009, 1050, 1998, 2507, 1056, 1012, 4029, 4671, 1006, 10550, 16068, 1008, 1043, 1008, 1008, 1016, 1011, 4583, 2581, 2575, 1008, 1043, 1008, 1008, 1016, 1011, 16471, 2620, 2475, 1008, 1043, 1008, 1008, 1016, 1011, 17365, 2581, 2683, 1008, 1043, 1008, 1008, 1016, 1007, 1008, 1006, 1011, 1015, 1009, 1015, 1011, 1017, 1007, 1999, 1996, 2433, 1039, 1009, 1044, 1008, 1043, 1009, 1059, 1008, 1043, 1008, 1008, 1016, 1998, 2507, 1044, 1012, 1014, 4671, 1006, 1021, 1008, 1059, 1008, 1008, 1016, 1011, 1019, 1008, 1059, 1009, 1019, 1008, 1059, 1007, 1008, 1006, 1011, 4008, 22022, 1008, 1059, 1009, 1015, 1009, 12904, 19961, 1008, 1059, 1011, 4700, 23833, 1008, 1059, 1007, 2004, 1061, 1008, 1059, 1008, 1008, 1017, 1009, 1037, 1009, 1044, 1008, 1059, 1008, 1008, 1016, 1009, 1054, 1008, 1059, 1998, 2507, 1037, 1012, 1014, 4671, 1017, 1009, 20741, 1008, 1038, 1011, 3515, 2487, 1008, 1038, 1011, 1017, 1009, 29327, 1008, 1038, 1999, 1996, 2433, 1058, 1009, 1039, 1008, 1038, 1998, 2507, 1039, 1012, 1011, 7886, 4671, 1006, 1014, 1011, 1015, 1009, 1017, 1007, 1008, 1006, 1006, 2570, 1011, 4413, 1009, 1021, 1007, 1008, 1006, 6353, 1008, 1053, 1009, 3486, 1008, 1053, 1011, 15170, 1008, 1053, 1007, 1011, 1017, 1008, 1053, 1009, 1016, 1008, 1053, 1011, 1016, 1008, 1053, 1007, 2004, 1042, 1009, 1052, 1008, 1053, 1998, 2507, 1052, 1012, 6255, 2549, 4671, 1011, 13539, 1008, 1059, 1008, 1008, 1016, 1009, 4868, 2620, 1008, 1059, 1008, 1008, 1016, 1009, 1014, 1011, 1016, 1008, 1059, 1009, 17696, 1008, 1059, 1008, 1008, 1017, 1011, 13539, 1008, 1059, 1008, 1008, 1016, 1009, 1018, 2004, 1053, 1008, 1059, 1008, 1008, 1017, 1009, 1061, 1009, 1050, 1008, 1059, 1008, 1008, 1016, 1009, 1051, 1008, 1059, 1998, 2507, 1051, 1012, 1011, 1016, 4373, 24388, 2063, 1011, 6584, 2620, 1008, 1048, 1009, 5786, 2581, 1008, 1048, 1009, 23532, 2509, 1008, 1048, 1009, 25897, 1008, 1048, 1009, 19594, 2581, 1008, 1048, 2000, 1053, 1009, 1062, 1008, 1048, 1998, 2507, 1062, 1012, 3438, 2581, 2620, 4373, 24388, 2063, 1006, 1017, 1008, 1042, 1008, 1008, 1017, 1009, 1014, 1008, 1042, 1009, 1014, 1008, 1042, 1007, 1008, 1006, 1011, 1021, 1009, 2539, 1008, 1042, 1009, 1021, 1009, 1006, 2676, 1011, 2484, 1011, 2538, 1007, 1008, 1006, 1014, 1008, 1042, 1009, 1014, 1008, 1042, 1011, 1016, 1008, 1042, 1007, 1007, 2000, 1996, 2433, 1048, 1008, 1042, 1008, 1008, 1017, 1009, 1045, 1008, 1042, 1008, 1008, 1018, 1009, 1051, 1008, 1042, 1008, 1008, 1016, 1009, 1060, 1008, 1042, 1009, 1039, 1998, 2507, 1045, 1012, 13913, 4373, 24388, 2063, 1011, 17528, 2629, 1008, 1047, 1011, 17332, 2475, 1008, 1047, 1009, 17332, 2549, 1008, 1047, 1011, 5764, 2575, 1008, 1047, 1011, 25103, 2487, 1008, 1047, 2000, 1058, 1008, 1047, 1009, 1037, 1998, 2507, 1058, 1012, 1011, 6079, 14142, 4671, 1023, 1008, 1051, 1011, 17332, 1009, 24232, 1009, 6353, 1008, 1051, 1008, 1008, 1018, 1009, 1051, 1008, 1008, 1016, 1011, 2539, 1008, 1051, 1008, 1008, 1018, 1009, 1051, 1008, 1008, 1017, 1011, 16734, 2004, 1047, 1008, 1051, 1008, 1008, 1017, 1009, 1037, 1008, 1051, 1009, 1060, 1008, 1051, 1008, 1008, 1016, 1009, 1038, 1009, 1061, 1008, 1051, 1008, 1008, 1018, 1998, 2507, 1061, 1012, 2753, 4373, 24388, 2063, 1049, 1011, 1016, 1008, 1049, 1009, 1019, 1008, 1049, 1011, 12457, 19961, 1009, 4008, 2581, 1008, 1049, 1009, 12457, 19961, 1009, 1006, 1017, 1011, 1019, 1009, 1015, 1007, 1008, 1006, 1016, 1008, 1049, 1011, 1049, 1009, 1014, 1008, 1049, 1007, 2000, 1061, 1009, 1060, 1008, 1049, 1998, 2507, 1060, 1012, 10332, 4671, 1006, 1011, 6275, 1008, 1059, 1011, 1022, 1008, 1059, 1011, 2385, 1008, 1059, 1007, 1008, 1006, 1011, 2539, 1008, 1059, 1009, 3590, 1008, 1059, 1011, 1020, 1008, 1059, 1007, 2004, 1047, 1008, 1059, 1009, 1055, 1009, 1039, 1008, 1059, 1008, 1008, 1016, 1998, 2507, 1039, 1012, 1011, 6390, 2549, 4373, 24388, 2063, 1011, 1022, 1008, 1044, 1008, 1008, 1017, 1009, 1044, 1008, 1008, 1017, 1011, 2403, 1009, 1018, 1008, 1044, 1008, 1008, 1017, 1009, 1017, 1008, 1044, 1011, 3770, 2000, 1996, 2433, 1042, 1009, 1062, 1008, 1044, 1008, 1008, 1016, 1009, 1053, 1008, 1044, 1008, 1008, 1017, 1009, 1040, 1008, 1044, 1998, 2507, 1053, 1012, 1011, 1017, 4671, 3963, 24434, 1008, 1056, 1008, 1008, 1016, 1011, 5818, 26976, 2581, 1009, 5818, 26976, 2581, 2004, 1051, 1008, 1056, 1008, 1008, 1016, 1009, 1061, 1008, 1056, 1009, 1055, 1998, 2507, 1051, 1012, 3963, 24434, 4671, 1058, 1008, 1008, 1016, 1011, 1023, 1008, 1058, 1009, 1017, 1008, 1058, 1011, 2603, 1009, 1014, 1011, 25717, 1009, 2260, 1999, 1996, 2433, 1045, 1008, 1058, 1008, 1008, 1016, 1009, 1038, 1008, 1058, 1009, 1053, 1998, 2507, 1038, 1012, 1011, 1020, 4373, 24388, 2063, 1019, 1008, 1047, 1011, 4749, 2683, 1009, 1016, 1008, 1047, 1011, 1020, 1008, 1047, 1009, 4720, 2581, 1011, 1017, 1008, 1047, 1008, 1008, 1016, 1011, 1047, 1008, 1008, 1017, 2000, 1056, 1008, 1047, 1008, 1008, 1016, 1009, 1051, 1009, 1054, 1008, 1047, 1009, 1053, 1008, 1047, 1008, 1008, 1017, 1998, 2507, 1051, 1012, 2654, 4671, 1006, 1017, 1008, 1055, 1008, 1008, 1016, 1009, 1016, 1008, 1055, 1008, 1008, 1016, 1011, 1017, 1008, 1055, 1008, 1008, 1016, 1007, 1008, 1006, 1011, 1018, 1009, 1015, 1009, 1014, 1007, 1008, 1006, 1017, 1009, 1016, 1009, 1014, 1007, 1008, 1006, 8574, 2629, 1008, 1055, 1009, 6353, 18139, 1011, 6353, 18139, 1007, 2004, 1039, 1009, 1047, 1008, 1055, 1008, 1008, 1016, 1009, 1038, 1008, 1055, 1009, 1051, 1008, 1055, 1008, 1008, 1017, 1998, 2507, 1051, 1012, 1011, 29403, 12376, 4671, 1011, 2403, 1008, 1059, 1009, 2423, 1008, 1059, 1011, 4293, 2683, 1008, 1059, 1008, 1008, 1016, 1011, 13412, 2629, 1008, 1059, 1008, 1008, 1016, 1011, 2340, 1008, 1059, 2004, 1062, 1008, 1059, 1008, 1008, 1016, 1009, 1046, 1008, 1059, 1009, 1057, 1998, 2507, 1046, 1012, 1014, 4671, 1011, 3770, 2549, 1009, 1020, 1008, 1062, 1008, 1008, 1016, 1011, 6535, 2629, 1009, 16528, 2575, 1999, 1996, 2433, 1060, 1008, 1062, 1009, 1038, 1008, 1062, 1008, 1008, 1016, 1009, 1056, 1998, 2507, 1056, 1012, 1011, 6640, 4671, 1006, 1016, 1009, 1016, 1011, 2184, 1008, 1057, 1009, 2410, 1008, 1057, 1007, 1008, 1006, 1018, 1009, 1015, 1011, 1015, 1007, 1008, 1006, 1011, 10550, 1011, 1021, 1008, 1057, 1008, 1008, 1016, 1011, 12104, 1009, 20294, 1007, 2004, 1044, 1008, 1057, 1008, 1008, 1017, 1009, 1043, 1008, 1057, 1009, 1050, 1009, 1053, 1008, 1057, 1008, 1008, 1016, 1998, 2507, 1053, 1012, 1011, 11176, 4671, 1006, 1006, 1011, 1015, 1009, 1016, 1011, 1017, 1007, 1008, 1006, 1011, 1047, 1009, 1014, 1008, 1047, 1009, 1014, 1008, 1047, 1007, 1009, 2484, 1008, 1047, 1011, 10114, 2475, 1009, 10114, 2475, 1009, 1016, 1008, 1047, 1009, 1047, 1009, 2184, 1011, 1018, 1008, 1047, 1007, 1008, 1006, 1011, 1016, 1011, 1016, 1009, 1023, 1007, 2004, 1043, 1009, 1057, 1008, 1047, 1998, 2507, 1057, 1012, 8732, 4671, 1006, 1016, 1008, 1059, 1011, 1016, 1009, 1016, 1007, 1008, 1006, 1011, 2656, 1008, 1059, 1009, 6391, 1011, 1023, 1011, 2676, 1007, 2004, 1049, 1008, 1059, 1009, 1042, 1008, 1059, 1008, 1008, 1016, 1009, 1040, 1998, 2507, 1042, 1012, 1011, 4720, 4671, 1006, 1011, 2184, 1008, 1053, 1008, 1008, 1016, 1009, 2184, 1008, 1053, 1008, 1008, 1016, 1009, 1017, 1008, 1053, 1008, 1008, 1017, 1007, 1008, 1006, 1011, 16528, 1011, 2603, 1011, 2382, 1007, 2004, 1054, 1008, 1053, 1009, 1052, 1008, 1053, 1008, 1008, 1017, 1009, 1044, 1009, 1050, 1008, 1053, 1008, 1008, 1016, 1998, 2507, 1052, 1012, 1011, 6079, 2475, 4373, 24388, 2063, 1006, 3515, 1008, 1053, 1008, 1008, 1017, 1009, 1053, 1011, 6163, 1008, 1053, 1008, 1008, 1017, 1011, 1022, 1008, 1053, 1007, 1008, 1006, 1011, 5139, 2620, 1008, 1053, 1009, 6391, 2683, 1008, 1053, 1009, 15170, 2581, 1008, 1053, 1009, 6640, 1008, 1053, 1009, 12606, 2487, 1008, 1053, 1007, 2000, 1996, 2433, 1060, 1008, 1053, 1008, 1008, 1017, 1009, 1037, 1008, 1053, 1008, 1008, 1016, 1009, 1040, 1008, 1053, 1009, 1051, 1009, 1056, 1008, 1053, 1008, 1008, 1018, 1998, 2507, 1037, 1012, 1011, 16327, 2683, 2549, 4373, 24388, 2063 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 7619, 1035, 12324, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 2407, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 6140, 1035, 3853, 2013, 1035, 1035, 2925, 1035, 1035, 12324, 27260, 1035, 18204, 2015, 12324, 16371, 8737, 2100, 2004, 27937, 1001, 2828, 1024, 8568, 12324, 2006, 26807, 2013, 1012, 1012, 2918, 12324, 2918, 2013, 1012, 12324, 5987, 2465, 2512, 17848, 6342, 9397, 8303, 3258, 1006, 2918, 1007, 1024, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1023, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1014, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1019, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1035, 1998, 1035, 7644, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1023, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1018, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 16081, 1035, 2011, 1035, 22834, 2226, 1035, 1998, 1035, 7644, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 9357, 1035, 12093, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1023, 1010, 1015, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1015, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1014, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1014, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1019, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 9357, 1035, 12093, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 5787, 1035, 6434, 1035, 2946, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 1011, 1014, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 1014, 1012, 1023, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1014, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2184, 1012, 1015, 1010, 1015, 1012, 1014, 1010, 2340, 1012, 1015, 1033, 1010, 1031, 1014, 1012, 1014, 1010, 2531, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 7886, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1010, 1014, 1012, 4293, 1010, 1014, 1012, 1020, 1010, 1014, 1012, 5345, 1010, 1014, 1012, 1019, 1010, 1014, 1012, 1017, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1016, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1019, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3556, 1035, 11207, 1027, 27937, 1012, 9140, 1006, 1031, 1014, 1012, 1014, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 3479, 1035, 29299, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1014, 1010, 1014, 1010, 1017, 1033, 1010, 1031, 1014, 1010, 1014, 1010, 1014, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 5987, 1006, 13045, 1010, 20407, 1027, 1031, 8378, 1010, 7644, 1010, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1010, 22834, 2226, 1035, 11207, 1010, 3556, 1035, 11207, 1033, 1010, 27852, 1027, 1031, 3479, 1035, 29299, 1033, 1010, 2171, 1027, 1005, 3231, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 5787, 1035, 6434, 1035, 2946, 1005, 1007, 1030, 10763, 11368, 6806, 2094, 13366, 9167, 1035, 2512, 17848, 6342, 9397, 8303, 3258, 1035, 2309, 1035, 3482, 1006, 1007, 1024, 1001, 2828, 1024, 1006, 1007, 1011, 1028, 3904, 13045, 1027, 2006, 26807, 1012, 2393, 2121, 1012, 2191, 1035, 13045, 1006, 1005, 2512, 17848, 6342, 9397, 8303, 3258, 1005, 1010, 20407, 1027, 1031, 1005, 8378, 1005, 1010, 1005, 7644, 1005, 1010, 1005, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1005, 1010, 1005, 22834, 2226, 1035, 11207, 1005, 1010, 1005, 3556, 1035, 11207, 1005, 1033, 1010, 27852, 1027, 1031, 1005, 3479, 1035, 29299, 1005, 1033, 1007, 8378, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1014, 1010, 1014, 1012, 1014, 1010, 1015, 1012, 1014, 1010, 1015, 1012, 1014, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 7644, 1027, 27937, 1012, 9140, 1006, 1031, 1031, 1031, 1014, 1012, 1023, 1033, 1033, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 14257, 16703, 1007, 4098, 1035, 6434, 1035, 8378, 1035, 2566, 1035, 2465, 1027, 27937, 1012, 9140, 1006, 1031, 1017, 1033, 1007, 1012, 2004, 13874, 1006, 27937, 1012, 20014, 21084, 1007, 22834, 2226, 1035, 11207, 1027, 27937, 1012, 9140 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 18592, 17501, 1997, 1037, 9138, 7504, 2007, 1037, 2128, 20051, 21997, 2594, 10496, 7504, 2038, 2042, 2109, 2000, 9699, 6387, 1010, 3811, 11508, 3550, 1998, 3053, 18847, 24454, 18150, 2594, 1060, 1011, 4097, 2030, 13091, 1011, 4097, 13110, 2012, 2116, 4128, 1012, 1996, 3754, 2000, 16014, 1996, 13589, 1010, 17435, 1998, 15850, 6459, 1997, 1037, 18592, 13091, 1011, 4097, 7504, 2003, 10232, 2005, 1996, 20600, 1997, 1996, 3169, 1997, 1037, 18592, 2422, 3120, 2004, 2092, 2004, 2005, 1996, 5097, 16911, 1996, 18592, 7504, 1012, 1999, 2023, 3259, 1010, 2057, 2556, 2048, 8107, 1010, 2028, 2241, 2588, 17826, 16268, 1998, 1996, 2060, 2241, 2588, 10125, 9758, 24710, 1010, 2000, 2817, 1996, 18592, 17501, 2832, 2005, 2536, 10496, 1998, 9138, 7504, 11709, 2004, 2092, 2004, 2367, 13091, 1011, 7504, 8902, 17960, 3370, 3785, 1012, 2122, 8107, 2031, 2042, 5147, 4162, 2000, 2839, 4697, 18592, 13091, 1011, 4097, 13110, 1010, 2044, 2108, 6847, 10665, 2098, 2114, 6388, 3463, 2012, 1996, 2152, 8015, 13091, 1011, 4097, 3120, 1006, 7632, 1002, 1032, 13091, 1002, 1055, 1007, 4322, 2012, 3804, 2118, 1012, 1005, 3166, 1024, 1011, 1005, 1039, 1012, 3103, 1031, 1034, 1015, 1033, 1005, 1011, 1005, 1061, 1012, 1047, 1012, 8814, 1005, 24751, 1024, 1011, 1005, 18592, 1032, 1035, 17501, 1012, 12170, 2497, 1005, 2516, 1024, 9373, 1998, 12504, 2913, 1997, 6459, 1997, 1037, 18592, 2422, 3120, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 18592, 17501, 1997, 1037, 9138, 7504, 2007, 1037, 2128, 20051, 21997, 2594, 10496, 7504, 2038, 2042, 5147, 2109, 2000, 9699, 6387, 1010, 3811, 11508, 3550, 1998, 3053, 18847, 24454, 18150, 2594, 1060, 1011, 4097, 2030, 13091, 1011, 4097, 13110, 2007, 1037, 24799, 3468, 2943, 2012, 2116, 4128, 1031, 1030, 1044, 1012, 1054, 1012, 2092, 2121, 1025, 1030, 17823, 6761, 1024, 2541, 2595, 2361, 1025, 1030, 2494, 13102, 2666, 1012, 4868, 2683, 2581, 1012, 1012, 22343, 2243, 1033, 1012, 2122, 4310, 18592, 26383, 13110, 2031, 2042, 2109, 1999, 1037, 2898, 2846, 1997, 3937, 1998, 4646, 2470, 4249, 2013, 4517, 5584, 2000, 28625, 15638, 1010, 2013, 2966, 2470, 2000, 10759, 3036, 1998, 3919, 5097, 1031, 1030, 1044, 1012, 1054, 1012, 2092, 2121, 1033, 1012, 1996, 3754, 2000, 16014, 1996, 17435, 1010, 13589, 1998, 15850, 6459, 1997, 1037, 18592, 13091, 1011, 4097, 7504, 2003, 10232, 2005, 1996, 20600, 1997, 1996, 13091, 1011, 4097, 7504, 2537, 2004, 2092, 2004, 2005, 2470, 5097, 16911, 1996, 7504, 1012, 2096, 1996, 3399, 1997, 10811, 1011, 10811, 1006, 2030, 10496, 1011, 26383, 1007, 18592, 17501, 1010, 2029, 2003, 5662, 2000, 1996, 17501, 2090, 1037, 18847, 24454, 18150, 2594, 10496, 7504, 1998, 1037, 18847, 24454, 18150, 2594, 9138, 7504, 2007, 5717, 18323, 10826, 1010, 2003, 2092, 8832, 1999, 3906, 1031, 1030, 1053, 2098, 1035, 28570, 1025, 1030, 12935, 2102, 1035, 28570, 1025, 1030, 4027, 1033, 1010, 2045, 3464, 1037, 2342, 2000, 3929, 3305, 1996, 6459, 1997, 1996, 13091, 1011, 4097, 7504, 2550, 2011, 18592, 17501, 1997, 1037, 9138, 7504, 1998, 2019, 10496, 7504, 2007, 3563, 13589, 1998, 2943, 20611, 1010, 1045, 1012, 1041, 1012, 1010, 1996, 7504, 1011, 7504, 17501, 1012, 2817, 1997, 7504, 1011, 7504, 18592, 17501, 2038, 2042, 3728, 2988, 1999, 1031, 1030, 7530, 17545, 1024, 2384, 13213, 1025, 1030, 2829, 1024, 2432, 13213, 1033, 1012, 2174, 1010, 1996, 13792, 2109, 1999, 2122, 2573, 2024, 2241, 2588, 1996, 11161, 17501, 2892, 2930, 1010, 1045, 1012, 1041, 1012, 1010, 2019, 21274, 17501, 1997, 17225, 8249, 2011, 1037, 5338, 10811, 2302, 1996, 27429, 3466, 1012, 2005, 17501, 1997, 1037, 2152, 2943, 10496, 7504, 1998, 1037, 9138, 7504, 1010, 1996, 27429, 1997, 1996, 10496, 2442, 2022, 2579, 2046, 4070, 1012, 1996, 18592, 17501, 2892, 2930, 2038, 2042, 2109, 2000, 2817, 6459, 1997, 18592, 13091, 1011, 4097, 13110, 2011, 3804, 6529, 1999, 1002, 2901, 1002, 1521, 1055, 1031, 1030, 8748, 1025, 1030, 2380, 1035, 9459, 1033, 1012, 2174, 1010, 1996, 3896, 1997, 14932, 7504, 11709, 1010, 1998, 1996, 3896, 1997, 13091, 1011, 7504, 8902, 17960, 3370, 2020, 2025, 3929, 2579, 2046, 4070, 1012, 1999, 2023, 3259, 1010, 2057, 2556, 2048, 2367, 4725, 1010, 1037, 4100, 1011, 17826, 17208, 1998, 1037, 10125, 9758, 12504, 1010, 2000, 2817, 1996, 18592, 17501, 2832, 1997, 1037, 11508, 3550, 1006, 2030, 4895, 18155, 8486, 5422, 1007, 9138, 7504, 2007, 2019, 4895, 18155, 8486, 5422, 10496, 7504, 1999, 1996, 7399, 18592, 17501, 6939, 1012, 2478, 2122, 2048, 4725, 1010, 2057, 2024, 2583, 2000, 2839, 4697, 1037, 18592, 13091, 1011, 4097, 7504, 2007, 2536, 9138, 1998, 10496, 7504, 11709, 1010, 15275, 12365, 12113, 1010, 1998, 2367, 13091, 1011, 7504, 8902, 17960, 3370, 3785, 1012, 2023, 3259, 2003, 4114, 2004, 4076, 1012, 1999, 2930, 2462, 1010, 2057, 2034, 3319, 1996, 17208, 1997, 1996, 18592, 7932, 26383, 2943, 2005, 2019, 15275, 12365, 6466, 1010, 1998, 2059, 8970, 1996, 17501, 2892, 2930, 1999, 1037, 28779, 5753, 23915, 2433, 1012, 2241, 2588, 2023, 2892, 2930, 1010, 1996, 13589, 1998, 17435, 20611, 2004, 2092, 2004, 1996, 11508, 3989, 1997, 1037, 18592, 13091, 1011, 4097, 7504, 2024, 10847, 1999, 10811, 1011, 10811, 17501, 3572, 1012, 1999, 2930, 3523, 1010, 2057, 6848, 1996, 7504, 1011, 7504, 18592, 17501, 2011, 6195, 3896, 1997, 1996, 14932, 7504, 11709, 2004, 2092, 2004, 1996, 3466, 1997, 1996, 13091, 1011, 4097, 7504, 8902, 17960, 3370, 1012, 2048, 4725, 1010, 1037, 4100, 1011, 17826, 17208, 1998, 1037, 10125, 9758, 12504, 1010, 2024, 2059, 3591, 1012, 2241, 2588, 1996, 13792, 1997, 2122, 4725, 1010, 2048, 9798, 9537, 1010, 1037, 15973, 8346, 3642, 1998, 1037, 10125, 9758, 12504, 3642, 1010, 2031, 2042, 2764, 2012, 3804, 2118, 1012, 1996, 6847, 10665, 2075, 3463, 1998, 5097, 1997, 2122, 2048, 9537, 2024, 3591, 1999, 2930, 4921, 1012, 1996, 12654, 2003, 2445, 1999, 2930, 1058, 1012, 10811, 1011, 10811, 17501, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 7932, 26383, 2943, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1037, 3319, 1997, 1996, 17208, 1997, 7932, 26383, 19320, 1999, 1996, 10811, 1011, 10811, 17501, 2553, 2003, 1999, 2344, 1012, 3275, 1032, 1031, 10496, 1032, 1035, 6845, 1032, 1035, 4853, 1032, 1033, 3065, 1996, 10988, 1997, 18592, 17501, 1997, 2019, 10496, 1998, 1037, 26383, 1999, 1037, 5911, 4853, 13530, 2291, 1002, 1006, 1060, 1035, 1041, 1010, 1061, 1035, 1041, 1010, 1062, 1035, 1041, 1007, 1002, 1999, 2029, 1996, 5043, 10496, 2007, 1037, 11071, 1002, 1032, 2310, 2278, 1063, 1052, 1065, 1002, 2003, 3048, 2247, 1996, 1002, 1062, 1035, 1041, 1002, 1011, 3257, 1012, 1996, 5043, 26383, 2007, 1037, 11071, 1002, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1002, 1006, 1002, 1032, 1044, 8237, 1002, 2003, 1996, 26486, 5377, 1007, 2003, 17678, 16098, 3064, 2247, 1996, 3257, 2007, 12113, 1002, 1006, 1032, 23963, 1035, 1045, 1010, 1032, 13569, 1035, 1045, 1007, 1002, 1012, 1996, 12365, 5158, 2012, 1996, 4761, 1997, 1996, 13530, 2291, 1012, 2044, 1996, 12365, 1010, 1996, 26383, 2007, 1037, 11071, 1002, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1034, 1032, 3539, 1002, 2003, 7932, 2046, 1996, 3257, 1997, 1002, 1006, 1032, 23963, 1035, 1042, 1010, 1032, 13569, 1035, 1042, 1007, 1002, 1012, 999, 1031, 1032, 1031, 10496, 1032, 1035, 6845, 1032, 1035, 4853, 1032, 1033, 10988, 1997, 18592, 17501, 1997, 2019, 10496, 1998, 1037, 26383, 1999, 1037, 6845, 4853, 13530, 2291, 1002, 1006, 1060, 1035, 1041, 1010, 1061, 1035, 1041, 1010, 1062, 1035, 1041, 1007, 1002, 1999, 2029, 1996, 10496, 2003, 5043, 2247, 1996, 1002, 1062, 1035, 1041, 1002, 1011, 3257, 1012, 1996, 5043, 26383, 2003, 17678, 16098, 3436, 2247, 1996, 3257, 2445, 2011, 1996, 11508, 6466, 1002, 1032, 23963, 1035, 1045, 1002, 1998, 17207, 5714, 14317, 2389, 6466, 1002, 1032, 13569, 1035, 1045, 1002, 1012, 1996, 12365, 5158, 2012, 1996, 4761, 1997, 1996, 13530, 2291, 1012, 2044, 1996, 17501, 1010, 1996, 7932, 26383, 17678, 16098, 4570, 1999, 1996, 3257, 2445, 2011, 1996, 11508, 6466, 1002, 1032, 23963, 1035, 1042, 1002, 1998, 17207, 5714, 14317, 2389, 6466, 1002, 1032, 13569, 1035, 1042, 1002, 1012, 1002, 1032, 23963, 1035, 1052, 1002, 2003, 1996, 6466, 2090, 1996, 2617, 2050, 1997, 5043, 1998, 7932, 26383, 2015, 1010, 1002, 1032, 2310, 2278, 1063, 1047, 1065, 1002, 1998, 1002, 1032, 2310, 2278, 1063, 1047, 1034, 1032, 3539, 1065, 1002, 1012, 1996, 10496, 2044, 17501, 2003, 2025, 3491, 1999, 1996, 3275, 1012, 1033, 1006, 10496, 1035, 26383, 1035, 17501, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 1032, 5930, 9148, 11927, 2232, 1000, 1065, 2429, 2000, 1996, 5680, 1997, 1996, 1018, 1011, 2617, 2050, 2077, 1998, 2044, 17501, 1010, 2057, 2064, 2031, 1002, 1002, 1052, 1009, 1047, 1027, 1052, 1034, 1032, 3539, 1009, 1047, 1034, 1032, 3539, 1010, 1032, 3830, 1063, 5680, 1035, 2375, 1065, 1002, 1002, 2073, 1002, 1052, 1027, 1006, 1041, 1035, 1041, 1013, 1039, 1010, 1032, 2310, 2278, 1063, 1052, 1065, 1007, 1002, 1998, 1002, 1047, 1027, 1006, 1041, 1035, 1052, 1013, 1039, 1010, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1007, 1002, 2024, 1996, 1018, 1011, 2617, 2050, 1997, 1996, 10496, 1998, 26383, 2077, 1996, 17501, 1010, 4414, 1025, 1002, 1052, 1034, 1032, 3539, 1027, 1006, 1041, 1034, 1032, 3539, 1035, 1041, 1013, 1039, 1010, 1032, 2310, 2278, 1063, 1052, 1065, 1034, 1032, 3539, 1007, 1002, 1998, 1002, 1047, 1034, 1032, 3539, 1027, 1006, 1041, 1035, 1043, 1013, 1039, 1010, 1032, 1044, 8237, 1032, 2310, 2278, 1063, 1047, 1065, 1034, 1032, 3539, 1007, 1002, 2024, 2037, 1018, 1011, 2617, 2050, 2044, 1996, 17501, 1025, 1002, 1041, 1035, 1041, 1002, 1998, 1002, 1041, 1035, 1052, 1002, 2024, 1996, 19320, 1997, 1996, 10496, 1998, 26383, 2077, 1996, 17501, 1025, 1002, 1041, 1035, 1041, 1034, 1032, 3539, 1002, 1998, 1002, 1041, 1035, 1043, 1002, 2024, 2037, 19320, 2044, 1996, 17501, 1025, 1998, 1002, 1039, 1002, 2003, 1996, 3177, 1997, 2422, 1012, 5490, 6692, 4892, 2119, 3903, 1997, 1041, 4160, 1012, 1006, 1032, 1031, 5680, 1032, 1035, 2375, 1032, 1033, 1007, 1998, 2206, 2070, 3722, 16924, 2015, 1010, 2057, 2064, 6855, 1996, 7932, 26383, 2943, 2004, 4076, 1010, 1002, 1002, 1041, 1035, 1043, 1027, 1032, 25312, 2278, 1063, 1006, 1015, 1011, 1032, 8247, 1032, 2522, 2015, 1032, 23963, 1035, 1045, 1007, 1041, 1035, 1052, 1065, 1063, 1006, 1015, 1011, 1032, 8247, 1032, 2522, 2015, 1032, 23963, 1035, 1042, 1007, 1009, 1006, 1015, 1011, 1032, 2522, 2015, 1032, 23963, 1035, 1052, 1007, 1041, 1035, 1052, 1013, 1041, 1035, 1041, 1065, 1010, 1032, 3830, 1063, 7932, 8458, 25862, 24454, 6292, 1065, 1002, 1002, 2073, 1002, 1032, 8247, 1027, 1058, 1013, 1039, 1002, 2003, 1996, 3177, 1997, 1996, 5043, 10496, 5816, 2000, 1996, 3177, 1997, 2422, 1010, 1998, 1002, 1032, 23963, 1035, 1052, 1002, 2003, 1996, 6466, 2090, 1996, 2617, 2050, 1997, 1996, 5043, 1998, 7932, 26383, 2015, 1006, 20965, 1012, 1032, 1031, 10496, 1032, 1035, 6845, 1032, 1035, 4853, 1032, 1033, 1007, 1012, 2005, 1037, 2132, 1011, 2006, 12365, 1010, 1002, 1032, 23963, 1035, 1045, 1027, 1032, 14255, 1002, 1998, 1002, 1032, 23963, 1035, 1052, 1027, 1032, 14255, 1011, 1032, 23963, 1035, 1042, 1002, 1010, 1041, 4160, 1012, 1006, 1032, 1031, 7932, 8458, 25862, 24454, 6292, 1032, 1033, 1007, 2064, 2022, 11038, 2000, 1002, 1002, 1041, 1035, 1043, 1027, 1032, 25312, 2278, 1063, 1006, 1015, 1009, 1032, 8247, 1007, 1041, 1035, 1052, 1065, 1063, 1006, 1015, 1011, 1032, 8247, 1032, 2522, 2015, 1032, 23963, 1035, 1042, 1007, 1009, 1006, 1015, 1009, 1032, 2522, 2015, 1032, 23963, 1035, 1042, 1007, 1041, 1035, 1052, 1013, 1041, 1035, 1041, 1065, 1012, 1032, 3830, 1063, 2943, 1035, 2132, 1035, 2006, 1065, 1002, 1002, 4415, 1010, 2445, 1996, 19320, 1997, 1996, 5043, 10496, 1998, 26383, 1010, 1002, 1041, 1035, 1041, 1002, 1998, 1002, 1041, 1035, 1052, 1002, 1010, 1996, 7932, 26383, 2943, 1002, 1041, 1035, 1043, 1002, 2069, 9041, 2006, 1996, 17501, 6466, 1002, 1032, 23963, 1035, 1042, 1002, 1010, 2981, 1997, 1996, 17207, 5714, 14317, 6466, 1002, 1032, 13569, 1035, 1042, 1002, 1012, 1996, 7189, 2090, 1996, 7932, 26383, 2943, 1002, 1041, 1035, 1043, 1002, 1998, 17501, 6466, 1002, 1032, 23963, 1035, 1042, 1002, 2003, 7645, 1999, 20965, 1012, 1032, 1031, 21934, 1032, 1035, 4372, 1032, 1035, 11867, 1032, 1035, 4487, 3367, 1032, 1033, 1012, 1999, 2023, 3275, 1010, 1996, 7932, 26383, 19320, 1002, 1041, 1035, 1043, 1002, 2024, 5393, 2011, 1996, 12450, 3378, 2007, 1996, 9530, 22461, 7925, 1999 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5958, 1010, 2281, 2603, 1010, 2289, 1037, 2261, 3134, 3283, 1010, 2097, 29328, 4402, 1006, 1037, 2767, 1998, 1037, 9220, 2012, 2026, 2277, 1007, 1998, 1045, 2253, 7083, 3788, 1999, 1037, 2112, 1997, 8904, 3702, 2008, 2018, 2042, 26397, 2007, 5850, 1998, 3522, 4808, 1006, 2619, 2018, 2042, 20114, 1998, 2059, 2915, 1998, 2730, 2012, 1037, 15106, 3573, 1999, 2008, 2181, 1007, 1012, 2256, 3246, 2001, 2000, 11839, 2058, 1996, 5101, 1998, 2036, 2000, 2831, 2007, 12455, 2045, 1998, 3198, 2068, 2129, 2057, 2071, 11839, 2005, 2068, 1998, 2156, 2073, 1996, 2935, 2453, 2202, 2009, 2013, 2045, 1012, 2776, 2057, 3047, 2588, 1523, 6174, 1524, 1010, 2040, 2001, 5689, 2041, 2007, 1037, 3232, 1997, 2060, 4364, 1998, 2596, 2000, 2022, 16228, 2070, 4066, 1997, 3066, 5994, 2593, 9573, 23115, 3729, 1521, 1055, 1010, 5850, 1010, 2030, 2119, 1012, 1045, 4081, 2057, 2175, 2831, 2000, 2032, 1010, 1998, 2097, 3530, 1010, 1998, 2061, 1045, 8134, 2743, 2039, 2000, 1000, 6174, 1000, 1006, 1045, 2134, 1521, 1056, 2113, 2032, 2012, 2008, 2391, 1007, 2096, 2097, 2939, 2172, 2062, 4658, 2135, 2369, 2033, 1012, 2057, 4930, 2039, 1037, 4512, 1010, 2076, 2029, 2057, 4342, 2008, 2010, 3566, 2001, 2019, 24036, 1010, 2008, 2002, 2876, 1521, 1056, 5136, 2370, 1037, 3017, 2138, 1997, 2129, 2002, 2001, 2542, 1010, 2008, 2002, 2018, 2042, 2915, 2012, 2560, 2320, 1010, 1998, 2008, 2002, 6618, 2008, 2169, 1997, 2149, 2003, 4011, 2000, 2022, 1996, 2190, 2057, 2064, 2022, 2012, 2054, 2057, 2024, 2725, 1516, 2065, 2017, 2024, 1037, 3017, 1010, 2022, 1996, 2190, 2028, 2017, 2064, 2022, 1025, 2065, 2017, 2024, 1037, 11033, 1010, 2022, 1996, 2190, 2028, 2008, 2017, 2064, 2022, 1006, 5667, 1007, 1012, 2057, 2356, 2032, 2129, 2057, 2453, 11839, 2005, 2032, 1010, 1998, 2002, 2056, 2074, 2000, 3198, 2643, 2000, 2292, 2032, 2444, 2178, 2154, 1006, 2029, 9826, 2790, 3492, 12391, 1007, 1010, 1998, 2061, 2057, 2106, 2008, 1998, 2253, 2006, 2256, 2126, 1012, 1045, 2347, 1521, 1056, 2469, 1045, 2052, 2156, 2032, 2153, 1010, 2926, 2144, 2026, 7083, 7365, 1999, 2061, 10258, 2080, 1006, 2148, 3516, 2395, 1007, 2020, 2025, 1037, 3180, 2112, 1997, 2026, 2733, 1012, 2055, 1037, 2733, 2030, 2048, 2101, 1045, 2001, 3788, 2026, 3899, 3533, 2105, 1996, 3796, 1998, 2001, 4458, 2011, 1037, 2367, 15106, 3573, 2008, 2003, 12536, 2005, 22824, 12455, 5689, 2105, 2648, 1012, 2004, 1045, 2979, 2011, 1037, 2482, 9083, 2006, 1996, 2395, 1010, 1045, 2298, 1999, 1998, 2040, 2079, 1045, 2156, 2021, 1000, 6174, 1000, 999, 2061, 1045, 3030, 1998, 2057, 2106, 1996, 2878, 1523, 7345, 9044, 1524, 2518, 1006, 2065, 2017, 1521, 2128, 2025, 2013, 1996, 1520, 7415, 2066, 2033, 1010, 2017, 2453, 2025, 2022, 2004, 5099, 2004, 2033, 2006, 2008, 1063, 20954, 1065, 1007, 1012, 1996, 2034, 2051, 2057, 2777, 1010, 1000, 6174, 1000, 2018, 11445, 2008, 1045, 2134, 1521, 1056, 2444, 1999, 8904, 3702, 1010, 1998, 2061, 2006, 2023, 3116, 1010, 1045, 2356, 2032, 2054, 2002, 2001, 2725, 1999, 2026, 2112, 1997, 1996, 1520, 7415, 1006, 4445, 1997, 2149, 2165, 2033, 5667, 2004, 1045, 2056, 2008, 1007, 1012, 2059, 1045, 2409, 2032, 2008, 2009, 2246, 2066, 2643, 2106, 3437, 12583, 1012, 2002, 2246, 5457, 2005, 1037, 2617, 1010, 1998, 1045, 6966, 2032, 2008, 2057, 2018, 14283, 2008, 2643, 2052, 2292, 2032, 2156, 2178, 2154, 1010, 1998, 2092, 1010, 2182, 2002, 2001, 1012, 2002, 3281, 1998, 2056, 1010, 1523, 3398, 1010, 2008, 1521, 1055, 2157, 1010, 1524, 1998, 1045, 2071, 2425, 2008, 2242, 15999, 2503, 1010, 1996, 2112, 1997, 2032, 2008, 2001, 2580, 2000, 2113, 2643, 1998, 7532, 2000, 2032, 1012, 2008, 2001, 1996, 6698, 1997, 2256, 4512, 1010, 1998, 2004, 1045, 2939, 2185, 1010, 1045, 2481, 1521, 1056, 2393, 2021, 2228, 2008, 1045, 2018, 2074, 2579, 2112, 1999, 1037, 2983, 2617, 1012, 2097, 1998, 1045, 3116, 1000, 6174, 1000, 2018, 8590, 2032, 1999, 2026, 2159, 1012, 1045, 5373, 2052, 2031, 6439, 2032, 1010, 2025, 2130, 4384, 2032, 2006, 2026, 3328, 2007, 3533, 1010, 2030, 2074, 7219, 2032, 2004, 1037, 7196, 11033, 1012, 2021, 2138, 1045, 2018, 1037, 3276, 2007, 1000, 6174, 1000, 1010, 1045, 2387, 2032, 2008, 2154, 1010, 1998, 2061, 2057, 5720, 2153, 1012, 1045, 2228, 2009, 2036, 8590, 2033, 1999, 2010, 2159, 1012, 2002, 5373, 2052, 2031, 6439, 2033, 1010, 2320, 2002, 2387, 1045, 2347, 1521, 1056, 4699, 1999, 9343, 1010, 2025, 2130, 15103, 2033, 2006, 2026, 3328, 1010, 28913, 2033, 2004, 1037, 4138, 2317, 3124, 1012, 2021, 2138, 2002, 2354, 2033, 2006, 2070, 2504, 1010, 2002, 2387, 2033, 1010, 1998, 2061, 2057, 5720, 2153, 1012, 5095, 1010, 2281, 2459, 1010, 2289, 2061, 1045, 2031, 2218, 2125, 2004, 2146, 2004, 1045, 2071, 1998, 2031, 11070, 2026, 4234, 2189, 5962, 3892, 2007, 4080, 12001, 1005, 1055, 2201, 27541, 1996, 12559, 1997, 2643, 1012, 2061, 2000, 8439, 1010, 1045, 2245, 1045, 2453, 2862, 2026, 2327, 2274, 4234, 4042, 1006, 1001, 1015, 2108, 2087, 5440, 1010, 2021, 1001, 1016, 1005, 1055, 1037, 5440, 1010, 2205, 1010, 2074, 2025, 2004, 2172, 5440, 1007, 1010, 1998, 2059, 13260, 2026, 23269, 1997, 8884, 8141, 2000, 3745, 2115, 7201, 2030, 7615, 2006, 3067, 1012, 1045, 1005, 1049, 2467, 2559, 2005, 2047, 2189, 1010, 2061, 2265, 2033, 1996, 2126, 999, 1019, 1007, 4302, 9530, 13542, 1010, 3781, 2043, 2026, 2540, 4858, 4234, 1011, 2023, 2201, 3138, 2033, 2067, 2000, 2070, 2204, 19330, 1005, 2420, 2043, 1045, 2001, 2012, 3792, 1010, 1998, 1045, 2074, 3613, 2000, 5959, 2009, 2095, 2044, 2095, 1012, 1017, 1007, 3968, 5356, 1010, 2022, 5092, 5879, 1010, 5297, 11902, 6569, 999, 1011, 2122, 2093, 4364, 2024, 2428, 10904, 5389, 1998, 8453, 1010, 1998, 2027, 2428, 2079, 2031, 6569, 2006, 2023, 2201, 2004, 2027, 4685, 2116, 4438, 4234, 17777, 1012, 4606, 1010, 2037, 2434, 2774, 2024, 3565, 1010, 1998, 2009, 1005, 1055, 2074, 1037, 4658, 12586, 1997, 2093, 4310, 5755, 1012, 1015, 1007, 4080, 12001, 27541, 1996, 12559, 1997, 2643, 1011, 2023, 2003, 2019, 6429, 2434, 3729, 2029, 4136, 1996, 2466, 1997, 4234, 2927, 1999, 16388, 1998, 3048, 2083, 1996, 24131, 1012, 1996, 2774, 3233, 2894, 1010, 2021, 2024, 3214, 2000, 2022, 7791, 2000, 2004, 1037, 2878, 2303, 1997, 2147, 1012, 2035, 1997, 1996, 2774, 2024, 23728, 1010, 1998, 1999, 2995, 4080, 12001, 2433, 1010, 1996, 4581, 2024, 13769, 1012, 2028, 1997, 1996, 11637, 2003, 1000, 5487, 1005, 1055, 11693, 11149, 1000, 2029, 2003, 3432, 1996, 4962, 6779, 1997, 4441, 7042, 2000, 2019, 27999, 8694, 1012, 2065, 2017, 2031, 1996, 3382, 2000, 2156, 2023, 4164, 1999, 2711, 1010, 1045, 2052, 2202, 2009, 1012, 9857, 1010, 2281, 2410, 1010, 2289, 1996, 2060, 2154, 2004, 1045, 2001, 2383, 1037, 4251, 2051, 1010, 13234, 2356, 2033, 2000, 2079, 2242, 2007, 2014, 1012, 2109, 2000, 2108, 7153, 1010, 1045, 2056, 1010, 1000, 2025, 2157, 2085, 1010, 1045, 1005, 1049, 5938, 2051, 2007, 4441, 1012, 2043, 1045, 1005, 1049, 2736, 3331, 2007, 4441, 2059, 2057, 2064, 2377, 1012, 1000, 2014, 3433, 2001, 1010, 1000, 1045, 11839, 2823, 2205, 1010, 20565, 1012, 1000, 1045, 2056, 1010, 1000, 2428, 1010, 2043, 2079, 2017, 2079, 2008, 1029, 1000, 3241, 2016, 2001, 3331, 2055, 7083, 2051, 2077, 2793, 2030, 2012, 1996, 4596, 2795, 1012, 2021, 2016, 4660, 1010, 1000, 2092, 1010, 1045, 2074, 2485, 2026, 2159, 1998, 6812, 2026, 2132, 1998, 11839, 2000, 2643, 2894, 1999, 2026, 2282, 1012, 1000, 1045, 2056, 1010, 1000, 2054, 2079, 2017, 11839, 2055, 1029, 1000, 1000, 1045, 2074, 4133, 4251, 1998, 11839, 1010, 20565, 1012, 1000, 1000, 1045, 2113, 1010, 2021, 2054, 2079, 2017, 2831, 2000, 2643, 2055, 2043, 2017, 11839, 1029, 1000, 1000, 2498, 1010, 20565, 1010, 1045, 2074, 4133, 4251, 1998, 4952, 2000, 2643, 1012, 1000, 4465, 1010, 2281, 2340, 1010, 2289, 2017, 2113, 1010, 2009, 3849, 2066, 1996, 2069, 2051, 1045, 2412, 2963, 22728, 2603, 2003, 2012, 6715, 2015, 1012, 2021, 2003, 2008, 2035, 2009, 1521, 1055, 2204, 2005, 1010, 2000, 10825, 2149, 1997, 2643, 1999, 1996, 12930, 1997, 1996, 3028, 1997, 1996, 5192, 1997, 2331, 1029, 2009, 2038, 2468, 2107, 1037, 28587, 22728, 2000, 2033, 1010, 5567, 2011, 18672, 2063, 1012, 2021, 2004, 1045, 2031, 4961, 1999, 7785, 1010, 1045, 2572, 4531, 2307, 7216, 1998, 7785, 2013, 2023, 2460, 2214, 2666, 1011, 2021, 1011, 2204, 2666, 1012, 1996, 2935, 2004, 2256, 11133, 3957, 2149, 3246, 2008, 2009, 1521, 1055, 2025, 2035, 2039, 2000, 2149, 1012, 2045, 2003, 2619, 3618, 2084, 9731, 2559, 2041, 2005, 5426, 1010, 9220, 2075, 2149, 1012, 2045, 2003, 1037, 2282, 9961, 1999, 4209, 2008, 2007, 2643, 2004, 2256, 11133, 1010, 2057, 4618, 2025, 2215, 1012, 2130, 1999, 1996, 12930, 4390, 1010, 1997, 2477, 2025, 2559, 2035, 2157, 1010, 1997, 3361, 3980, 1010, 2643, 2758, 2008, 2002, 2003, 2045, 2005, 2149, 2007, 3860, 1998, 3739, 1998, 9347, 1012, 2643, 2025, 2069, 4122, 2149, 2000, 4521, 1998, 2000, 2693, 1010, 2021, 2036, 2000, 2717, 1010, 1998, 2004, 2256, 11133, 1010, 2002, 7459, 2149, 2438, 2000, 2191, 2149, 4682, 2091, 2138, 2002, 4282, 2256, 2342, 2005, 2717, 2062, 2084, 2057, 2079, 1012, 2002, 5260, 2149, 2000, 2665, 24813, 1998, 4251, 5380, 1010, 3722, 3350, 1997, 2010, 15003, 1998, 2293, 1012, 1998, 2054, 2038, 2768, 2041, 2000, 2033, 2058, 2505, 2842, 1999, 2023, 22728, 2038, 2042, 1010, 1523, 2002, 9239, 2015, 2026, 3969, 1012, 1524, 2256, 9293, 2024, 2256, 2568, 1010, 2097, 1010, 1998, 6699, 1010, 1998, 2023, 7893, 15537, 2149, 2008, 2643, 2987, 1521, 1056, 2074, 4792, 2005, 2149, 2000, 2031, 3558, 9347, 1998, 2717, 1010, 2021, 2002, 14977, 2055, 2256, 5110, 2166, 2004, 2092, 1012, 2002, 4122, 2000, 2417, 21564, 2256, 3971, 1997, 3241, 2055, 2032, 1010, 16487, 2256, 2568, 1012, 2002, 4122, 2000, 11005, 1996, 3971, 2057, 2514, 2055, 9731, 1998, 2256, 6214, 1010, 16487, 2256, 6699, 1012, 2002, 4122, 2000, 10938, 2256, 9804, 2000, 8339, 1037, 19836, 1010, 2293, 3276, 2007, 2032, 1010, 16487, 2256, 17234, 1012, 5150, 2035, 1997, 2023, 2039, 2003, 1996, 2935, 1521, 1055, 15003, 1998, 8673, 1010, 2206, 2149, 1010, 14328, 2149, 2006, 2875, 2256, 2204, 2188, 2007, 1996, 2935, 1012, 1999, 1996, 12930, 1997, 2256, 6752, 2229, 1010, 1999, 1996, 12930, 1997, 2256, 17693, 1010, 2045, 2003, 1037, 4251, 16375, 2008, 15003, 1998, 2293, 2097, 3582, 1012, 1998, 2057, 2024, 6966, 1997, 2256, 2925, 2188, 2007, 1996, 2935, 5091, 1012, 4209, 2008, 2256, 2925, 2003, 5851, 3957, 2149, 4071, 1998, 7785, 1999, 1996, 2556, 2000, 2644, 2358, 3089, 6455, 2061, 2524, 1012, 1996, 2935, 2003, 2026, 11133, 1012, 1045, 4618, 2025, 2215, 1012, 2002, 3084, 2033, 4682, 2091, 1012, 2002, 5260, 2033, 1012, 7543, 15003, 1998, 2293, 2097, 3582, 2033, 1012, 2023, 2003, 2025, 1037, 28587, 22728, 1012, 2009, 2003, 1037, 22728, 1997, 7023, 2008, 4473, 2149, 2000, 2202, 1037, 3357, 2067, 2013, 2256, 9241, 1998, 2256, 4073, 2012, 2969, 1011, 9347, 1998, 2969, 1011, 3860, 1010, 4352, 2149, 2000, 2191, 2282, 2005, 7785, 1012, 9317, 1010, 2281, 5718, 1010, 2289, 2191, 1037, 5166, 1024, 2028, 1997, 1996, 2190, 13345, 2114, 7785, 3238, 16156, 1998, 2028, 1997, 1996, 2190, 3971, 2000, 5676, 2008, 2057, 2064, 2507, 12382, 2135, 2000, 2643, 1521, 1055, 2147, 2003, 3432, 2000, 2031, 1037, 5166, 1012, 1999, 2755, 1010, 1045, 2123, 1005, 1056, 2113, 2129, 2111, 6133, 2037, 2769, 1998, 2031, 5029, 2000, 2507, 2302, 2383, 1037, 5166, 1012, 2383, 1037, 2933, 2005, 2073, 2115, 2769, 2003, 2183, 2077, 2017, 2130, 2131, 2009, 1998, 4209, 2073, 2017, 2024, 5938, 2115, 3318, 4473, 2017, 2000, 5323, 7785, 2013, 1996, 2131, 2175, 1012, 2065, 3228, 1013, 14841, 20744, 2003, 1037, 9470, 2005, 2149, 1010, 2059, 2738, 2084, 3403, 2000, 2156, 2065, 2045, 2003, 2505, 2187, 2012, 1996, 2203, 2000, 2507, 1010, 2057, 11276, 2000, 2191, 1523, 3228, 1524, 1037, 2240, 8875, 1999, 2256, 5166, 1006, 3383, 1996, 2240, 8875, 1007, 1998, 14171, 2256, 1000, 2215, 1011, 2000, 1000, 5938, 2105, 2009, 1012, 12082, 1998, 1045, 2031, 4340, 1037, 7017, 2008, 2057, 2215, 2000, 2507, 1010, 1998, 2061, 2057, 14171, 2256, 3228, 7017, 1011, 7968, 2000, 1996, 3815, 1997, 3318, 2008, 3310, 1999, 1012, 2057, 2224, 2048, 5906, 2000, 2393, 2149, 5166, 1012, 2028, 2003, 1037, 3722, 24970, 7123, 2006, 2029, 2057, 2862, 2296, 9530, 3401, 11444, 3468, 2181, 1997, 5938, 1012, 2045, 2024, 2240, 5167, 2005, 3167, 5938, 2769, 2005, 2033, 1998, 12082, 1010, 2769, 2275, 4998, 2169, 3204, 2875, 4234, 7534, 1010, 10885, 1010, 1998, 2482, 10315, 1010, 2769, 2005, 4253, 2005, 2256, 4268, 1998, 2062, 1012, 2057, 2079, 1037, 1000, 5717, 1011, 5703, 5166, 1000, 1010, 2029, 2965, 2008, 2057, 2031, 1037, 2173, 2000, 2404, 2296, 7922, 2008, 2003 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 10061, 1024, 4447, 1024, 6412, 1024, 4281, 12654, 4766, 6412, 1997, 1996, 9254, 6851, 6412, 19184, 2742, 2291, 2742, 4725, 7353, 5097, 2011, 3817, 3312, 10882, 15000, 1010, 2624, 4560, 1010, 6187, 2149, 7353, 5097, 2011, 8224, 4297, 1012, 2379, 2613, 1011, 2051, 13425, 1997, 1037, 2445, 3295, 2089, 2022, 3024, 2000, 5310, 2588, 5227, 1012, 2087, 16071, 7021, 9183, 5269, 2024, 4340, 1010, 1998, 1037, 9475, 3014, 3746, 5425, 5080, 2003, 10959, 2012, 2028, 2030, 2062, 1997, 1996, 4340, 5269, 1012, 1996, 3746, 5425, 5080, 2089, 14678, 3073, 3746, 2592, 1010, 2029, 2003, 13995, 1010, 2005, 2742, 1010, 2000, 6366, 3167, 2592, 1998, 11307, 12403, 2213, 1012, 2107, 3746, 2592, 2089, 2059, 2022, 3024, 2000, 5198, 2588, 5227, 1012, 1996, 3746, 5425, 5080, 14678, 19566, 3674, 5328, 1997, 1996, 2445, 3295, 1010, 1998, 1996, 17942, 5310, 2064, 7276, 2029, 7339, 2000, 3193, 1012, 1037, 3274, 1011, 7528, 4118, 9605, 1024, 4909, 1010, 2011, 2028, 2030, 2062, 9798, 5733, 1010, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1025, 6364, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1996, 2363, 2444, 4871, 1025, 4909, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1025, 4346, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1996, 7303, 4949, 2951, 1025, 4909, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1025, 12515, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1998, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1025, 1998, 4346, 1010, 2011, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 2582, 9605, 1024, 12515, 1010, 2478, 1996, 2028, 2030, 2062, 9798, 5733, 1010, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1025, 1998, 19120, 1996, 3746, 5425, 5080, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 16726, 1996, 2363, 4871, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 9605, 25952, 3167, 2592, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 1996, 4118, 1997, 4366, 1018, 1010, 16726, 1996, 3167, 2592, 2950, 2529, 5344, 1012, 1996, 4118, 1997, 4366, 1015, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 22910, 12403, 2213, 2951, 1012, 1037, 2291, 9605, 1024, 2012, 2560, 2028, 3746, 5425, 5080, 10959, 2012, 1037, 10056, 3295, 1025, 2028, 2030, 2062, 18017, 1999, 4807, 2007, 1996, 3746, 5425, 5080, 1010, 1996, 2028, 2030, 18017, 16984, 2000, 1024, 4374, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1025, 2832, 1996, 2363, 2444, 4871, 1025, 4374, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1025, 3073, 1996, 7303, 4949, 2951, 1025, 4374, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1025, 5646, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1025, 1998, 3073, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 1996, 2028, 2030, 2062, 18017, 2024, 2582, 16984, 2000, 5646, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1010, 1998, 16726, 1996, 2012, 2560, 2028, 3746, 5425, 5080, 2003, 10959, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 1996, 2363, 4871, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 25952, 3167, 2592, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 1996, 2291, 1997, 4366, 2184, 1010, 16726, 1996, 3167, 2592, 2950, 2529, 5344, 1012, 1996, 2291, 1997, 4366, 1021, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 22910, 12403, 2213, 2951, 1012, 1037, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 23977, 2592, 1998, 8128, 4654, 8586, 23056, 2011, 1037, 13151, 2005, 4488, 1037, 4118, 1997, 4346, 2444, 13425, 1010, 1996, 4118, 9605, 1024, 4909, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1025, 6364, 1996, 2363, 2444, 4871, 1025, 4909, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1025, 4346, 1996, 7303, 4949, 2951, 1025, 4909, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1025, 12515, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1025, 1998, 4346, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 1996, 4118, 2582, 9605, 12515, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1010, 16726, 1996, 3746, 5425, 5080, 2003, 10959, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 16726, 1996, 2363, 4871, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 9605, 25952, 3167, 2592, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2385, 1010, 16726, 1996, 3167, 2592, 2950, 2529, 5344, 1012, 1996, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 1997, 4366, 2410, 1010, 16726, 6364, 1996, 2363, 2444, 4871, 8681, 22910, 12403, 2213, 2951, 1012, 2588, 5227, 1010, 4949, 2951, 2005, 1037, 2445, 3295, 1998, 3378, 13425, 2089, 2022, 3024, 2000, 1037, 5310, 1012, 2107, 3378, 13425, 2003, 4050, 4110, 2011, 1037, 4316, 1011, 5614, 4950, 2004, 1996, 4316, 9297, 2083, 1996, 2445, 3295, 1010, 1998, 2059, 8250, 1999, 1037, 7809, 1012, 2138, 1997, 1996, 6019, 1997, 2051, 2090, 3746, 5425, 1998, 4346, 1996, 3746, 2000, 1996, 5310, 1010, 1996, 13425, 2089, 17120, 2592, 2008, 2003, 22537, 2030, 2041, 1997, 3058, 1012, 2005, 2742, 1010, 1996, 13425, 2089, 17120, 2810, 2008, 2003, 2053, 2936, 7552, 1010, 2030, 1037, 2449, 2008, 2003, 2053, 2936, 6515, 1012, 2379, 2613, 1011, 2051, 13425, 1997, 1037, 2445, 3295, 2089, 2022, 3024, 2000, 5310, 2588, 5227, 1012, 2087, 16071, 7021, 9183, 5269, 2089, 2022, 4340, 1010, 1998, 1037, 9475, 3014, 3746, 5425, 5080, 2089, 2022, 10959, 2012, 2107, 5269, 1012, 1996, 3746, 5425, 5080, 2089, 14678, 3073, 3746, 2592, 1010, 2029, 2003, 13995, 1010, 2005, 2742, 1010, 2000, 6366, 3167, 2592, 1998, 11307, 12403, 2213, 1012, 2107, 3746, 2592, 2089, 2059, 2022, 3024, 2000, 5198, 2588, 5227, 1012, 2138, 1996, 3746, 5425, 5080, 14678, 19566, 3674, 5328, 1997, 1996, 2445, 3295, 1010, 1996, 17942, 5310, 2064, 7276, 2029, 7339, 2000, 3193, 1012, 2028, 7814, 1997, 1996, 19380, 3640, 1037, 3274, 1011, 7528, 4118, 2005, 4346, 2444, 13425, 2000, 5198, 2588, 5227, 1012, 1999, 2023, 4118, 2028, 2030, 2062, 9798, 5733, 4374, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1010, 1998, 2832, 1996, 2363, 2444, 4871, 1012, 2582, 1010, 1996, 2028, 2030, 2062, 9798, 5733, 4374, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1010, 1998, 3073, 1996, 7303, 4949, 2951, 1012, 1996, 2028, 2030, 2062, 9798, 5733, 2582, 4374, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1010, 1998, 5646, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1012, 1996, 2028, 2030, 2062, 9798, 5733, 3073, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 2429, 2000, 2028, 2742, 1010, 1996, 2028, 2030, 2062, 9798, 5733, 2582, 5646, 10056, 5269, 2005, 2029, 13425, 2003, 2087, 2411, 7303, 2011, 5198, 1010, 1998, 1996, 3746, 5425, 5080, 2003, 10959, 2012, 1996, 4340, 10056, 3295, 1012, 1996, 2363, 4871, 2089, 2421, 1037, 7142, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 6364, 1996, 2363, 2444, 4871, 2089, 2421, 25952, 3167, 2592, 1010, 2107, 2004, 2529, 5344, 1998, 6105, 5127, 3616, 1010, 1998, 14819, 4892, 1996, 11156, 3167, 2592, 1012, 14084, 2030, 5678, 1010, 6364, 1996, 2363, 4871, 2089, 2421, 22910, 12403, 2213, 2951, 1012, 2178, 7814, 1997, 1996, 19380, 3640, 1037, 2291, 9605, 2012, 2560, 2028, 3746, 5425, 5080, 10959, 2012, 1037, 10056, 3295, 1010, 1998, 2028, 2030, 2062, 18017, 1999, 4807, 2007, 1996, 3746, 5425, 5080, 1012, 1996, 2028, 2030, 18017, 2024, 16984, 2000, 4374, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1010, 2832, 1996, 2363, 2444, 4871, 1010, 4374, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1010, 3073, 1996, 7303, 4949, 2951, 1010, 4374, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1010, 5646, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1010, 1998, 3073, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 2664, 2178, 7814, 1997, 1996, 19380, 3640, 1037, 2512, 1011, 6671, 10253, 3274, 1011, 3191, 3085, 5396, 23977, 2592, 1998, 8128, 4654, 8586, 23056, 2011, 1037, 13151, 1012, 2043, 6472, 1010, 1996, 8128, 4685, 1037, 4118, 9605, 4909, 2444, 4871, 1997, 1037, 10056, 3295, 2013, 2012, 2560, 2028, 3746, 5425, 5080, 1010, 6364, 1996, 2363, 2444, 4871, 1010, 4909, 1037, 5227, 2005, 4949, 2951, 7978, 2000, 1996, 10056, 3295, 1010, 1998, 4346, 1996, 7303, 4949, 2951, 1012, 2023, 4118, 2582, 2950, 4909, 1037, 5227, 2005, 2444, 13425, 7978, 2000, 1996, 7303, 4949, 2951, 1010, 12515, 1010, 2241, 2006, 1996, 5227, 2005, 2444, 13425, 1010, 1037, 2391, 1997, 3193, 3378, 2007, 1996, 7303, 2444, 4871, 1010, 1998, 4346, 13995, 2444, 4871, 7978, 2000, 1996, 4340, 2391, 1997, 3193, 1998, 1996, 7303, 4949, 2592, 1012, 20965, 1012, 1015, 2003, 1037, 8360, 16403, 1997, 1037, 2291, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1016, 2003, 1037, 28304, 16403, 1997, 1996, 2291, 1997, 20965, 1012, 1015, 1012, 20965, 1012, 1017, 2003, 2019, 2742, 3898, 2915, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1018, 2003, 2178, 2742, 3898, 2915, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1019, 2003, 2178, 2742, 3898, 2915, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 20965, 1012, 1020, 2003, 1037, 4834, 16403, 1997, 2019, 2742, 4118, 1999, 10388, 2007, 5919, 1997, 1996, 19380, 1012, 2588, 5227, 2011, 1037, 5310, 1010, 2444, 13425, 1997, 1037, 2445, 3295, 2089, 2022, 3024, 2000, 1996, 5310, 2058, 1996, 4274, 1999, 2523, 2007, 4949, 2951, 2005, 1996, 2445, 3295, 1012, 2005, 2742, 1010, 2019, 3746, 5425, 5080, 2089, 2022, 10959, 2012, 1996, 2445, 3295, 1998, 2089, 14678, 3073, 13425, 2000, 2028, 2030, 2062, 9798, 5733, 1012, 1996, 2028, 2030, 2062, 9798, 5733, 2832, 1996, 13425, 2000, 1010, 2005, 2742, 1010, 6366, 3167, 2592, 1006, 1041, 1012, 1043, 1012, 1010, 5344, 1998, 1013, 2030, 6105, 5127, 3616, 1007, 1998, 11307, 12403, 2213, 1012, 1037, 5310, 2089, 5227, 4949, 2951, 2005, 1996, 2445, 3295, 1010, 1998, 2089, 2036, 5227, 2444, 13425, 1997, 1996, 2445, 3295, 1012, 1999, 3433, 2000, 1996, 5227, 1010, 1996, 2028, 2030, 2062, 18017, 3073, 1996, 13995, 2444, 4871, 3378, 2007, 1996, 7303, 4949, 2951, 1012, 1996, 3746, 5425, 5080, 2089, 2022, 1010, 2005, 2742, 1010, 1037, 9475, 3014, 2678, 4950, 1012, 1999, 2023, 7634, 1010, 1996, 3746, 5425, 5080, 2089, 14678, 5425, 1037, 9475, 3014, 2492, 1997, 3193, 2105, 1996, 3746, 5425, 5080, 1012, 2429, 2000, 2028, 2742, 1010, 1999, 17942, 1996, 2444, 13425, 1010, 1996, 5310, 2089, 20648, 1037, 21386, 2005, 1996, 13425, 1012, 2005, 2742, 1010, 1996, 5310, 2089, 12040, 20396, 2592, 2007, 1996, 5227, 2005, 13425, 1010, 1998, 1999, 3433, 4374, 1037, 6903, 1997, 1996, 4110, 13425, 1012, 19120, 1997, 1996, 3746, 5425, 5080, 2089, 2022, 4340, 2241, 2006, 6217, 1012, 2005, 2742, 1010, 1996, 2028, 2030, 2062, 9798, 5733, 2089, 5646, 2005, 2029, 10056, 5269, 1996, 2087, 11186, 2005, 4949, 2951, 2030, 13425, 2024, 2363, 1012, 3746, 5425, 5733, 2089, 2022, 10959, 2012, 1996, 4340, 5269, 1012, 9544, 8231, 1010, 1996, 3746, 5425, 5733 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 8893, 11698, 1998, 3617, 7504, 14192, 2075, 9099, 3401, 16402, 2015, 2024, 6150, 1999, 12786, 1996, 4119, 1997, 6450, 8051, 1998, 2152, 2731, 8964, 2015, 1999, 1996, 2279, 4245, 4971, 19198, 1011, 4400, 1006, 3461, 1011, 4400, 1007, 5294, 2771, 5302, 1006, 3674, 1011, 7953, 3674, 1011, 6434, 1007, 3001, 1012, 2174, 1010, 3768, 1997, 3929, 3617, 7504, 14192, 2075, 1999, 8893, 4294, 2015, 1998, 2460, 2522, 5886, 10127, 2335, 2012, 3461, 1011, 4400, 17607, 3176, 14679, 2006, 1996, 3149, 24155, 1012, 3188, 2573, 2006, 12786, 2122, 7860, 2031, 4208, 4321, 2006, 4867, 12733, 6833, 16726, 20600, 1011, 2241, 2030, 20505, 13792, 2020, 4846, 2000, 18547, 8893, 7504, 14192, 2545, 1012, 1999, 2023, 3259, 1010, 2057, 8970, 1037, 2784, 4083, 1006, 21469, 1007, 3921, 2005, 4101, 3149, 24155, 1998, 8893, 7504, 14192, 2075, 2005, 6075, 1011, 13228, 1010, 2898, 12733, 3461, 1011, 4400, 3001, 1012, 1999, 3327, 1010, 2057, 5136, 1037, 5294, 2771, 5302, 28721, 6075, 2407, 3674, 19612, 1006, 2771, 5302, 1011, 1997, 22117, 1007, 2291, 1998, 16599, 2093, 2367, 21469, 7705, 2015, 9605, 9530, 6767, 7630, 3508, 2389, 15756, 6125, 1006, 13229, 2015, 1007, 1010, 2029, 5138, 1996, 2363, 4405, 4742, 2004, 7953, 1998, 10750, 1996, 8893, 7504, 14192, 2545, 2012, 1996, 6434, 1012, 15973, 7885, 10580, 2008, 1010, 4102, 2000, 1996, 2783, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 20600, 1998, 21469, 4725, 1010, 2256, 3921, 3640, 3020, 17435, 8122, 1010, 8276, 15078, 3465, 1010, 1998, 3020, 13986, 2114, 1996, 24353, 2015, 1999, 1996, 2363, 4405, 2951, 1010, 27279, 3149, 8185, 1010, 1998, 20594, 4044, 1012, 1005, 3166, 1024, 1011, 1005, 6289, 11368, 1049, 1012, 3449, 17706, 1998, 9600, 17027, 28616, 13492, 1031, 1034, 1015, 1033, 1031, 1034, 1016, 1033, 1005, 24751, 1024, 1011, 1005, 15368, 7875, 2099, 2615, 1012, 12170, 2497, 1005, 1011, 1005, 7604, 1032, 1035, 5840, 2581, 1032, 1035, 3485, 1012, 12170, 2497, 1005, 2516, 1024, 1005, 2784, 4083, 9942, 2005, 4101, 3149, 24155, 1998, 8893, 7504, 14192, 2075, 1999, 4800, 1011, 6839, 3461, 1011, 4400, 5294, 2771, 5302, 3001, 1005, 1011, 1011, 1011, 3149, 24155, 1010, 2784, 4083, 1010, 8893, 7504, 14192, 2075, 1010, 3461, 1011, 4400, 1010, 2898, 12733, 5294, 2771, 5302, 1012, 4955, 1063, 1001, 10819, 1024, 17174, 8566, 26243, 2239, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 7511, 12562, 4806, 3001, 9015, 2013, 8674, 15843, 2096, 1996, 5157, 2005, 7289, 20235, 1998, 3020, 2951, 6165, 2003, 10843, 4852, 1031, 1030, 2771, 5302, 7840, 8584, 1033, 1012, 1999, 2023, 6123, 1010, 4971, 19198, 4400, 1006, 3461, 1011, 4400, 1007, 2316, 2003, 1037, 6871, 4018, 2005, 3587, 1011, 4245, 1006, 1019, 2290, 1007, 4806, 2974, 2138, 2027, 3073, 3020, 2951, 3446, 1998, 7289, 20235, 1031, 1030, 2771, 5302, 7840, 8584, 1025, 1030, 28616, 13492, 11387, 16147, 18790, 4232, 1025, 1030, 1019, 2290, 2860, 12707, 29602, 15909, 4783, 1025, 1030, 23148, 11387, 16147, 2890, 8663, 8873, 27390, 3085, 1025, 1030, 1037, 19903, 2099, 11387, 16147, 3217, 8286, 2102, 1033, 1012, 4102, 2000, 4942, 1011, 1020, 29066, 21670, 4372, 11365, 18655, 1999, 1019, 2290, 1010, 1996, 3461, 1011, 4400, 7755, 8087, 1037, 2062, 3375, 20594, 4044, 2008, 2003, 7356, 2011, 3020, 17501, 1010, 5729, 20015, 6409, 1010, 2896, 4487, 4246, 25533, 1010, 1998, 3020, 4130, 3279, 2005, 4964, 11659, 1998, 8393, 12154, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1033, 1012, 1996, 3461, 1011, 4400, 3001, 21155, 5294, 13438, 27448, 1011, 2788, 1999, 1037, 3674, 1011, 7953, 3674, 1011, 6434, 1006, 2771, 5302, 1007, 9563, 1011, 2000, 6162, 9140, 1998, 3674, 19612, 5114, 1010, 1998, 8558, 19079, 2005, 1996, 20594, 6409, 2012, 2152, 13139, 1031, 1030, 2771, 5302, 25032, 5243, 2705, 1033, 1012, 2174, 1010, 2107, 1037, 2312, 9140, 5942, 1037, 4056, 2557, 1011, 6075, 1006, 21792, 1007, 4677, 2005, 2169, 13438, 4525, 1999, 2019, 6450, 2291, 4294, 1998, 2152, 2373, 8381, 1012, 1999, 2344, 2000, 4769, 2023, 1010, 8893, 11698, 1998, 2918, 12733, 7504, 14192, 2075, 4294, 2015, 2031, 2042, 3107, 1010, 16726, 1037, 2235, 2193, 1997, 4403, 1011, 2069, 11698, 7504, 14192, 2545, 2024, 4846, 2000, 20634, 1996, 13110, 1012, 1996, 2091, 1011, 4991, 4742, 2003, 2059, 13995, 2011, 2918, 12733, 7504, 14192, 2545, 1010, 2169, 1997, 2029, 2003, 4056, 2000, 1037, 2309, 21792, 4677, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1025, 1030, 2771, 5302, 25032, 5243, 2705, 1025, 1030, 2771, 15530, 9289, 2075, 6279, 1033, 1012, 2023, 5257, 1997, 2152, 1011, 8789, 4403, 1011, 2069, 11698, 1998, 2659, 1011, 8789, 2918, 12733, 3617, 7504, 14192, 2545, 6022, 13416, 1996, 2193, 1997, 21792, 8859, 2096, 2036, 8498, 7182, 7504, 14192, 2075, 5114, 1031, 1030, 3461, 16535, 14839, 12260, 8163, 1025, 1030, 2771, 5302, 25032, 5243, 2705, 1033, 1012, 2174, 1010, 3768, 1997, 3929, 3617, 7504, 14192, 2075, 1999, 8893, 4294, 2015, 22382, 7860, 1999, 3461, 1011, 4400, 3149, 24155, 1031, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 1025, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 2475, 1025, 1030, 3149, 4355, 9581, 3508, 2487, 1025, 1030, 3149, 4355, 9581, 3508, 2487, 6169, 1025, 1030, 3149, 5302, 9247, 27694, 3366, 3676, 3501, 4213, 1025, 1030, 3149, 5302, 9247, 27694, 8583, 4710, 13089, 1033, 1012, 1996, 7107, 17191, 3149, 2110, 2592, 1006, 22174, 1007, 2003, 6827, 2005, 5294, 2771, 5302, 4806, 2138, 3653, 3597, 4667, 2012, 2091, 13767, 2030, 21933, 4667, 2012, 2039, 13767, 6726, 5942, 3811, 8321, 22174, 2000, 6162, 13589, 8906, 1998, 3674, 19612, 5114, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1033, 1012, 1999, 3218, 1010, 4405, 7755, 2024, 18043, 11860, 1998, 1996, 2363, 7755, 2024, 13995, 2000, 10197, 1996, 22174, 1031, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 2475, 1025, 1030, 3149, 4355, 8017, 3351, 2906, 9447, 2015, 2475, 1033, 1012, 2582, 1010, 1996, 3461, 1011, 4400, 10058, 2107, 2004, 7169, 1998, 2310, 16066, 7934, 4806, 2024, 3811, 8023, 2007, 2460, 2522, 5886, 10127, 2335, 1031, 1030, 2522, 5886, 10127, 7292, 2890, 2546, 1033, 2008, 26785, 7971, 17570, 2015, 2224, 1997, 3149, 24155, 13792, 2008, 2024, 15873, 2000, 24353, 2015, 1999, 1996, 3149, 2951, 1012, 2320, 1996, 22174, 2003, 4663, 1010, 1996, 8893, 11698, 1998, 2918, 12733, 7504, 14192, 2545, 2024, 2881, 2478, 2593, 7107, 17191, 3149, 8185, 2030, 3149, 2522, 10755, 28335, 8185, 1006, 10507, 2213, 1007, 1012, 25307, 14192, 2075, 2241, 2006, 1996, 3732, 3640, 2896, 17435, 8122, 1031, 1030, 2898, 12733, 2232, 2497, 24415, 5833, 7076, 7959, 2098, 5963, 1033, 2138, 10507, 2213, 2515, 2025, 8339, 1996, 7107, 17191, 6337, 1997, 1996, 3149, 1012, 6516, 1010, 2009, 2003, 2062, 2691, 2000, 16462, 1996, 3149, 8185, 2005, 8893, 7504, 14192, 2075, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2509, 1025, 1030, 8893, 29292, 2389, 21246, 2378, 1025, 1030, 8893, 29292, 8261, 6072, 1025, 1030, 2061, 13492, 26282, 2546, 22117, 1033, 1012, 1999, 3522, 2086, 1010, 2195, 5461, 2031, 2042, 3818, 2000, 2640, 1996, 8893, 3653, 16044, 2869, 1999, 3461, 1011, 4400, 2771, 5302, 3001, 1012, 3988, 2573, 2031, 4208, 2006, 4867, 1011, 2316, 6833, 1031, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2487, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2475, 1025, 1030, 2771, 5302, 10536, 23736, 10362, 2271, 2509, 1025, 1030, 2771, 5302, 25032, 5243, 2705, 1025, 1030, 8893, 29292, 8261, 6072, 1033, 1012, 2174, 1010, 2000, 6464, 16462, 1996, 3461, 1011, 4400, 2771, 5302, 4294, 2015, 2007, 4659, 3469, 20235, 1010, 2045, 2024, 3522, 1998, 4164, 2098, 4073, 2646, 4975, 19595, 8893, 7504, 14192, 2075, 5461, 1012, 1996, 3145, 4119, 1999, 8893, 7504, 14192, 2075, 2005, 1037, 19595, 6075, 1011, 13228, 3149, 2003, 12697, 1037, 2691, 11698, 7504, 14192, 2121, 2008, 2003, 4207, 2408, 2035, 4942, 10010, 16252, 2015, 2096, 1996, 3617, 1006, 2918, 12733, 1007, 7504, 14192, 2121, 15871, 2342, 2000, 2022, 3563, 2000, 1037, 4942, 10010, 16252, 1012, 2023, 4489, 1999, 8893, 7504, 14192, 2075, 2640, 1997, 6075, 1011, 13228, 6833, 2013, 4257, 1011, 14059, 2553, 2003, 1996, 3078, 14354, 2005, 6195, 8893, 7504, 14192, 2075, 2005, 28721, 6075, 2407, 3674, 19612, 1006, 1997, 22117, 1007, 25502, 1012, 1996, 15502, 7504, 14192, 2075, 9207, 1999, 1037, 6075, 1011, 13228, 3149, 9041, 2006, 1996, 6075, 1010, 1045, 1012, 1041, 1012, 1010, 1037, 4942, 10010, 16252, 1999, 1997, 22117, 1010, 2021, 1996, 11698, 7504, 14192, 2121, 1999, 2151, 1997, 1996, 4867, 1011, 2316, 8893, 5090, 3685, 8137, 2007, 6075, 1012, 2947, 1010, 1037, 2691, 11698, 7504, 14192, 2121, 2442, 2022, 2881, 1999, 9584, 1997, 4254, 2000, 2035, 4942, 10010, 16252, 2015, 1010, 8558, 2437, 1996, 8893, 3653, 3597, 4667, 2062, 3697, 2084, 1996, 4867, 1011, 2316, 2553, 1012, 2426, 3188, 2573, 1010, 1031, 1030, 2898, 12733, 26058, 4355, 2487, 1025, 1030, 2898, 12733, 26058, 4355, 2475, 1033, 5136, 3149, 24155, 2005, 2898, 12733, 3461, 1011, 4400, 5294, 2771, 5302, 3001, 1012, 1996, 8893, 7504, 14192, 2075, 2640, 2001, 10847, 1999, 1031, 1030, 2632, 15256, 17389, 2497, 11387, 16048, 19699, 2063, 4226, 9407, 11246, 22471, 3512, 1025, 1030, 2061, 13492, 26282, 2546, 22117, 1025, 1030, 2898, 12733, 2232, 2497, 24415, 5833, 7076, 7959, 2098, 5963, 1025, 1030, 2898, 12733, 19968, 15058, 2094, 1033, 2073, 1997, 22117, 1011, 2241, 6075, 1011, 13228, 5090, 2024, 2881, 1012, 1999, 3327, 1010, 1031, 1030, 2632, 15256, 17389, 2497, 11387, 16048, 19699, 2063, 4226, 9407, 11246, 22471, 3512, 1033, 17146, 1037, 13250, 1011, 12940, 28721, 3989, 2241, 3921, 2005, 8893, 7504, 14192, 2075, 1006, 28177, 1011, 1044, 2497, 1007, 2007, 1996, 11213, 1997, 3819, 22174, 1998, 28177, 1011, 1044, 2497, 27034, 1996, 3653, 16044, 2869, 2013, 1037, 10713, 3642, 8654, 2029, 2024, 4663, 2013, 1996, 7107, 17191, 3149, 2951, 1012, 2478, 1996, 2168, 11213, 2006, 22174, 1010, 1031, 1030, 2061, 13492, 26282, 2546, 22117, 1033, 3818, 1037, 4403, 14676, 3921, 2005, 8893, 3653, 16044, 2099, 2640, 1012, 1999, 1031, 1030, 15503, 11387, 16048, 16693, 2884, 1033, 1010, 1037, 10562, 11698, 7504, 14192, 2121, 2003, 2881, 2241, 2006, 1996, 2117, 1011, 2344, 13589, 3149, 2522, 10755, 28335, 8185, 1997, 1037, 2898, 12733, 3149, 1012, 1999, 1031, 1030, 9327, 11387, 16048, 8261, 1033, 1010, 1996, 14925, 6673, 2102, 1011, 2402, 1011, 14719, 5874, 8185, 20167, 2003, 4846, 2000, 2424, 1996, 2898, 12733, 7504, 14192, 2075, 21520, 2008, 2031, 1996, 6263, 25826, 3292, 2013, 1996, 15502, 7300, 1012, 1999, 1031, 1030, 3389, 11387, 16932, 18900, 17682, 1033, 1010, 1996, 2898, 12733, 7504, 14192, 2121, 2640, 2003, 3459, 2004, 1037, 3945, 2005, 1037, 2691, 3978, 8185, 2005, 1996, 24807, 10732, 2015, 18212, 2011, 2035, 4942, 10010, 16252, 2015, 1521, 3149, 21520, 1998, 1996, 3020, 2344, 13048, 3643, 22511, 1006, 7570, 2015, 16872, 1007, 4118, 2003, 4162, 1012, 1999, 1031, 1030, 8802, 11387, 15136, 10536, 23736, 2094, 1033, 1010, 13438, 4989, 2003, 2036, 3107, 2000, 2898, 12733, 8893, 7504, 14192, 2075, 1012, 2009, 20397, 1996, 2004, 24335, 13876, 20214, 28721, 3012, 1997, 9140, 9602, 19019, 1998, 17146, 2048, 16108, 1011, 2592, 1011, 2241, 7504, 14192, 2075, 11683, 2000, 9483, 1996, 11213, 1997, 2440, 22174, 2012, 1996, 11659, 2107, 2008, 3716, 1997, 2069, 12113, 1997, 6712, 2003, 3223, 1012, 3053, 2035, 1997, 1996, 17289, 4725, 6118, 11160, 2006, 3819, 22174, 3716, 1012, 2023, 2003, 2200, 17727, 22648, 14656, 2445, 1996, 3811, 8790, 3267, 1997, 3461, 1011, 4400, 3149, 1031, 1030, 2522, 5886, 10127, 7292, 2890, 2546, 1033, 1012, 2000, 9483, 2023, 18642, 1998, 6855, 15873, 2836, 2114, 1996, 29238, 8496, 1999, 1996, 4358, 3149, 8185, 1010, 2057, 11628, 1037, 2784, 4083, 1006, 21469, 1007, 3921, 1012, 1996, 21469, 2003, 5214, 1997, 26944, 2075, 3375, 6550, 1999, 2951, 1013, 7755, 1998, 1010, 2947, 1010, 2064, 6162, 2488, 2836, 1012, 2023, 2038, 2042, 7645, 1999, 2195, 3144, 5097, 1997, 21469, 1999, 9949, 4806, 3471, 2107, 2004, 3149, 24155, 1031, 1030, 2771, 5302, 19422, 26058, 4355, 9581, 3508, 1025, 1030, 2784, 2278, 10695, 1035, 3149, 4355, 9581, 3508, 1033, 1010, 11698, 7504, 4989, 1031, 1030, 2771, 5302, 19422, 10536, 23736, 2094, 1025, 1030, 23148, 11387, 16147, 12274, 7096, 2072, 1033, 1010, 1998, 2036, 8893, 7504, 14192, 2075, 1031, 1030, 2771, 5302, 19422, 10536, 23736, 2094, 1025, 1030, 2771, 5302, 19422, 26058, 5302, 9247, 28302, 14192, 2075, 12172, 8654, 1025, 1030, 2771, 5302, 26095, 9397, 2890, 16044, 26371, 23773, 1025, 1030, 3449, 9001, 2140, 1035, 4012, 19968, 1025, 1030, 3449, 17706, 16211, 16778, 5422, 2278, 10695, 11387, 16147 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 6160, 2000, 2256, 4037, 999, 2004, 2057, 2031, 1996, 3754, 2000, 2862, 2058, 2028, 2454, 5167, 2006, 2256, 4037, 1006, 2256, 4989, 3431, 2035, 1997, 1996, 2051, 1007, 1010, 2009, 2003, 2025, 22945, 2005, 1037, 2194, 2256, 2946, 2000, 2501, 1998, 18245, 1996, 13271, 2006, 2296, 8875, 2006, 2256, 4037, 1012, 2174, 1010, 2065, 2017, 2024, 2019, 2137, 2007, 1037, 11980, 2057, 2024, 2182, 2000, 2393, 2017, 1012, 3531, 2655, 2256, 11980, 2578, 3042, 2240, 2012, 6205, 2683, 1011, 6640, 2549, 1011, 6021, 2683, 2629, 2076, 3180, 2449, 2847, 1998, 2028, 1997, 2256, 2785, 1998, 5379, 3167, 4497, 7347, 2097, 2393, 2017, 22149, 2083, 2256, 4037, 1010, 2393, 6204, 3935, 17193, 1010, 2393, 2017, 5454, 1996, 8875, 2017, 2024, 2559, 2005, 2007, 1996, 15480, 2017, 2024, 6224, 1010, 3191, 2017, 1996, 15480, 1997, 2151, 8875, 1998, 23363, 2007, 2017, 2055, 1996, 3688, 3209, 1012, 2045, 2003, 2053, 3715, 2005, 1996, 2393, 1997, 2023, 3167, 4497, 4842, 2005, 2151, 2137, 2007, 1037, 11980, 1012, 2633, 1010, 2115, 3167, 4497, 4842, 2097, 4863, 2256, 9394, 3343, 1998, 3408, 1997, 2326, 1010, 1998, 2393, 2017, 2173, 2019, 2344, 2065, 2017, 2061, 4792, 1012, 22160, 2546, 16237, 4425, 2522, 1999, 15842, 1010, 13316, 2003, 2019, 9362, 11033, 1997, 22160, 2546, 3688, 1012, 2137, 13749, 2368, 18518, 1998, 2647, 26286, 9650, 2024, 1996, 23354, 2015, 1997, 22160, 2546, 1005, 1055, 2640, 8426, 2000, 3443, 9525, 1010, 6276, 1011, 3341, 23228, 2015, 1006, 6904, 18796, 3215, 1007, 1998, 27902, 16611, 1012, 3569, 2011, 2058, 3770, 2086, 1997, 27902, 1998, 8051, 5814, 3325, 1010, 22160, 2546, 1005, 1055, 9542, 3829, 1998, 7198, 14927, 2421, 1037, 2846, 1997, 3824, 1010, 17459, 1998, 3151, 3688, 1012, 2061, 2065, 2017, 2024, 2559, 2005, 22160, 2546, 3688, 1999, 15842, 1010, 9296, 1010, 12385, 12691, 1010, 4267, 1010, 4970, 2940, 1010, 20533, 1010, 13450, 1010, 9079, 6076, 1010, 6384, 3077, 1010, 4267, 1998, 6857, 4057, 1010, 2030, 2065, 2017, 2031, 2151, 3980, 2055, 22160, 2546, 3688, 1010, 3531, 2514, 2489, 2000, 2655, 2149, 2012, 6205, 2683, 1011, 6640, 2549, 1011, 6021, 2683, 2629, 2030, 3432, 2644, 2011, 16237, 4425, 2522, 2012, 2151, 2051, 1998, 2057, 2052, 2022, 5580, 2000, 2393, 2017, 1012, 1996, 2400, 1011, 3045, 2572, 20624, 2015, 6457, 2291, 9005, 1037, 5621, 11813, 6457, 2075, 3325, 1012, 13685, 2007, 2116, 2152, 1011, 6627, 2838, 1010, 1996, 2572, 20624, 2015, 6457, 2291, 4107, 1037, 16684, 17201, 3466, 2478, 2419, 10381, 21716, 14573, 6906, 7685, 7497, 1012, 1996, 2419, 7497, 2003, 10959, 2306, 1996, 6457, 3614, 2000, 5587, 1037, 2047, 9812, 2000, 1996, 8902, 2819, 1010, 4283, 2000, 14958, 7497, 1011, 2145, 1037, 15839, 2109, 4145, 1999, 5723, 2640, 1012, 28319, 1011, 3168, 2003, 2019, 9525, 1010, 3811, 10660, 6457, 3074, 2005, 1996, 2087, 9694, 16958, 1012, 2300, 1010, 2422, 1998, 2614, 23339, 1999, 19452, 5703, 1010, 3499, 2005, 1037, 6748, 3168, 1997, 25860, 1012, 2007, 2536, 5047, 7047, 1998, 3365, 6457, 6177, 1010, 28319, 1011, 3168, 2064, 8116, 1037, 3558, 1998, 6832, 3325, 1012, 5059, 7780, 2013, 1037, 3151, 2300, 10216, 1010, 1043, 1009, 2640, 2996, 8590, 2019, 25963, 4031, 2046, 2019, 11552, 1998, 2715, 4874, 2005, 10126, 2224, 1012, 1999, 2169, 2944, 1010, 20222, 14567, 2049, 4310, 7208, 2000, 2119, 1996, 2627, 1998, 1996, 2556, 1012, 8945, 10820, 2080, 4107, 15514, 3504, 1998, 2104, 9153, 3064, 6782, 1010, 2019, 18678, 3921, 2000, 2640, 21570, 1996, 3791, 1997, 2296, 5310, 1012, 2007, 29202, 3169, 1998, 3947, 3238, 2806, 1010, 8945, 10820, 2080, 9023, 2000, 10390, 2040, 2024, 2119, 26261, 4215, 24333, 2055, 8434, 1998, 2215, 2000, 3443, 1037, 17950, 6742, 2686, 1012, 3151, 6010, 3824, 2007, 1996, 12138, 13267, 3074, 1012, 2881, 2011, 22160, 2546, 1005, 1055, 1043, 1009, 2640, 2996, 1010, 1996, 3074, 1005, 1055, 2806, 2003, 17459, 1998, 3811, 4310, 1010, 4352, 2009, 2000, 4906, 2046, 2119, 3151, 1998, 3824, 10906, 1012, 23293, 6652, 1998, 3487, 2937, 12465, 12411, 5332, 14680, 2007, 2715, 6481, 1998, 6786, 1010, 2169, 15083, 10637, 1037, 20783, 6018, 3737, 1012, 9976, 5836, 1996, 3819, 3601, 2005, 2216, 2040, 3945, 2005, 1037, 3151, 6652, 2514, 1999, 2037, 5723, 1012, 3251, 1999, 1996, 6086, 6457, 2544, 2030, 1999, 1996, 3151, 6457, 4974, 1010, 2023, 3074, 2003, 2467, 11552, 1998, 8200, 1012, 2800, 2007, 2892, 16024, 1010, 17767, 16024, 1010, 2030, 3384, 16024, 1010, 1996, 2878, 3074, 2038, 2042, 2764, 1999, 2195, 9062, 1998, 2146, 1011, 9879, 12321, 1012, 6595, 2995, 2000, 2049, 17283, 1010, 1996, 24750, 3074, 2003, 3605, 2478, 8331, 3210, 2008, 5041, 2368, 2012, 1996, 2918, 1998, 6823, 2099, 2046, 1037, 19415, 3300, 1012, 2007, 1037, 9844, 3347, 6904, 18796, 2102, 1010, 2023, 3940, 9005, 1037, 8060, 5257, 1998, 9909, 1037, 4840, 7339, 2000, 1996, 3829, 2686, 1012, 1037, 19415, 2433, 2007, 16762, 27745, 1010, 27047, 19319, 2015, 12878, 4654, 24539, 1037, 27768, 5574, 1012, 2306, 2049, 4556, 2640, 1010, 27047, 4107, 1037, 9844, 2217, 12509, 2000, 3499, 2300, 2000, 2022, 2109, 1999, 2367, 3971, 2008, 4848, 1996, 5310, 1012, 1037, 4535, 1011, 4427, 21776, 1010, 4241, 2595, 4917, 4832, 10667, 25201, 1998, 19415, 1012, 2007, 1037, 2022, 15985, 2098, 3300, 1998, 27885, 5809, 2063, 2918, 1010, 4241, 2595, 4917, 12237, 2995, 2000, 2993, 2096, 17903, 1996, 3829, 2007, 1037, 6625, 1010, 10017, 2572, 15599, 3401, 1012, 1996, 2217, 12509, 4107, 2130, 2062, 16991, 1999, 1996, 2540, 1997, 1996, 2188, 1010, 1996, 3829, 1012, 6549, 4751, 11506, 2007, 4550, 3210, 2000, 2433, 1996, 2986, 20715, 3074, 1012, 1037, 3819, 12586, 1997, 4519, 1998, 27745, 1010, 2023, 2440, 7621, 4107, 2019, 19401, 9140, 1997, 9804, 2013, 6904, 18796, 3215, 2000, 6457, 3787, 1012, 2004, 2017, 18855, 2091, 1996, 6337, 1997, 1996, 25749, 3074, 1010, 2023, 3824, 2640, 5041, 6132, 1999, 2049, 2433, 1012, 4415, 2049, 4338, 2003, 3214, 2000, 3972, 3170, 3686, 1037, 20783, 1998, 4550, 2806, 1012, 1996, 9530, 21163, 1997, 1996, 16024, 2003, 1037, 7444, 5783, 2008, 7861, 5092, 18389, 2023, 5664, 21776, 1012, 1996, 2640, 1997, 1996, 3824, 3074, 2001, 5173, 2013, 1996, 20724, 2015, 1997, 4438, 18580, 1010, 11865, 7741, 2019, 3919, 12465, 2007, 4751, 16839, 9080, 12863, 1997, 1996, 2035, 1011, 2137, 18407, 1012, 17158, 3550, 2011, 22160, 2546, 1005, 1055, 1043, 1009, 2640, 2996, 1010, 1996, 6904, 18796, 2102, 1005, 1055, 19144, 5047, 1010, 21195, 1037, 2482, 9602, 5217, 1010, 4107, 1037, 4310, 20551, 2964, 1998, 15581, 8010, 2000, 3824, 1998, 4087, 10058, 1012, 2169, 3538, 2003, 19275, 2007, 1037, 3579, 2006, 3330, 1998, 13749, 2368, 18518, 1010, 4525, 1999, 1037, 10124, 2923, 1998, 2130, 5512, 1012, 3143, 2007, 1037, 2440, 2240, 1997, 9844, 6457, 6177, 1998, 16611, 1010, 27523, 13663, 2064, 13883, 1996, 8360, 1998, 2640, 3791, 1997, 2115, 2279, 2622, 1012, 2007, 8200, 1010, 5859, 16024, 1010, 1996, 15579, 3829, 6904, 18796, 2102, 8834, 1037, 4310, 1010, 2715, 2806, 2190, 10897, 2005, 3824, 5617, 1012, 2005, 2119, 8434, 1998, 4550, 1011, 2039, 1010, 29483, 16462, 1996, 2217, 12509, 2005, 2130, 2062, 15380, 2306, 1996, 3829, 1012, 4519, 2711, 7810, 1012, 2008, 1005, 1055, 1996, 2190, 2126, 2000, 6235, 1996, 10294, 3074, 1012, 1996, 7132, 7774, 1997, 1996, 6457, 4974, 1998, 1996, 11754, 6669, 1011, 2805, 16024, 2064, 2202, 2006, 1037, 6428, 2298, 2043, 3491, 1999, 1996, 2751, 5127, 2094, 3926, 1012, 1996, 10294, 3074, 4282, 2008, 2045, 2003, 2053, 2342, 2000, 11245, 2000, 2022, 2657, 1012, 9194, 2000, 15401, 1010, 1996, 21185, 13152, 2015, 1997, 1996, 12909, 3074, 4287, 2058, 2046, 1996, 1996, 10867, 28696, 4588, 6457, 2291, 1012, 1037, 2813, 1011, 5614, 2918, 2007, 2019, 8964, 10101, 4292, 1010, 1996, 12909, 6457, 2089, 2022, 2109, 2296, 2154, 2021, 2097, 2196, 2514, 9410, 1012, 1996, 1049, 1011, 2186, 1996, 10867, 28696, 4588, 11336, 11082, 2017, 3443, 1010, 7661, 4697, 1998, 10938, 2115, 6457, 3325, 1012, 6183, 1996, 7372, 1997, 2640, 1998, 3098, 2039, 2047, 12020, 1999, 6457, 15380, 1010, 1996, 1049, 1011, 2186, 10124, 6553, 5053, 3310, 2000, 2166, 1999, 1037, 2047, 1998, 3167, 3550, 2126, 1012, 1049, 1012, 1041, 1012, 2423, 7861, 5092, 18389, 1996, 2190, 2008, 10124, 2964, 2038, 2000, 3749, 1012, 2004, 2028, 1997, 1996, 2087, 22979, 6407, 2006, 1996, 3006, 1010, 3167, 3989, 1997, 2169, 5723, 2003, 1037, 3722, 3105, 1012, 15262, 24577, 1010, 2800, 1999, 2176, 12321, 1010, 1049, 1012, 1041, 1012, 2423, 2003, 6669, 10897, 2000, 2087, 7198, 10058, 1012, 2196, 12014, 2006, 2115, 6567, 1012, 4427, 2011, 1996, 2103, 21343, 1010, 1996, 7128, 3074, 18058, 1037, 29445, 2640, 11211, 2007, 11813, 15380, 1012, 15594, 3210, 1998, 3722, 3596, 14899, 2362, 2005, 1037, 21185, 5574, 1011, 5026, 1037, 8478, 2047, 2166, 2000, 1037, 3824, 2030, 17459, 3829, 2686, 1012, 3151, 1999, 3267, 1010, 2043, 3491, 1999, 12853, 18546, 1996, 6457, 12342, 2015, 2083, 1037, 2062, 3824, 2422, 1012, 1996, 3819, 13711, 2000, 1037, 4438, 7198, 2686, 1010, 16660, 29315, 8847, 2000, 1037, 2051, 2043, 2166, 2333, 2012, 1037, 12430, 1010, 2062, 9530, 18532, 24759, 8082, 6393, 1012, 6742, 1998, 2358, 8516, 4509, 1010, 7436, 2003, 6669, 10897, 2000, 10058, 2007, 1037, 3824, 5510, 1010, 3228, 1996, 3829, 1037, 2047, 2035, 5397, 1012, 2049, 9792, 1998, 5843, 12509, 4974, 1998, 26404, 5460, 3499, 1037, 3722, 1998, 4621, 2224, 2096, 1996, 4139, 1011, 2041, 12509, 1998, 5047, 2031, 1037, 8903, 6218, 2005, 6082, 8304, 1012, 1037, 3722, 17856, 17905, 1999, 1996, 3300, 18205, 4301, 1997, 1996, 2627, 2096, 3151, 20724, 9909, 1037, 13528, 2514, 2000, 1996, 21877, 10286, 2080, 3074, 1012, 5026, 2055, 2019, 2250, 1997, 27768, 2791, 1010, 21877, 10286, 2080, 5836, 1996, 3819, 13711, 2000, 2019, 2287, 3238, 2686, 1012, 1996, 4403, 3074, 1005, 1055, 4550, 1998, 3722, 4338, 3957, 7050, 2000, 1996, 3819, 2586, 1997, 18753, 3012, 1998, 11718, 1012, 1037, 3824, 3074, 2007, 11754, 3210, 1010, 2009, 2003, 10897, 2000, 2296, 2828, 1997, 4592, 2622, 1012, 2009, 2003, 1037, 27768, 4325, 1010, 1037, 2177, 1997, 3787, 2029, 16142, 6669, 1999, 2651, 1005, 1055, 2412, 1011, 5278, 2554, 1012, 2823, 17839, 2003, 11703, 7416, 6455, 1012, 24209, 13592, 2071, 2025, 8339, 2023, 4145, 2151, 2488, 1012, 12853, 1998, 11552, 1010, 2009, 5836, 2019, 6549, 5783, 2007, 1037, 4225, 3824, 2640, 1012, 2675, 1998, 14291, 1011, 5044, 1010, 2004, 2525, 2623, 2011, 2049, 2171, 1010, 24209, 13592, 9530, 24396, 3997, 1998, 9211, 2000, 1996, 7752, 1998, 1996, 5723, 2004, 1037, 2878, 1012, 1520, 1005, 2422, 2791, 1998, 3997, 1005, 1005, 2024, 1996, 6481, 2008, 4427, 4850, 18319, 21766, 20715, 2640, 2043, 2027, 2580, 2023, 3074, 1012, 2049, 10124, 2664, 18753, 2640, 2003, 4225, 2011, 4550, 1010, 3722, 3210, 2008, 2765, 1999, 1037, 2844, 5107, 4254, 1012, 1996, 2186, 4107, 1037, 2898, 2846, 1997, 7047, 2000, 13225, 2119, 6742, 1998, 12465, 2389, 14714, 1012, 2023, 3824, 6457, 4832, 2004, 1996, 2364, 10191, 1999, 1996, 5723, 1998, 23199, 2015, 2007, 1996, 18433, 1997, 2049, 4338, 1012, 1996, 10124, 2640, 3774, 1997, 1037, 14965, 2389, 5512, 1997, 14291, 2015, 1010, 28667, 23395, 2015, 1998, 2157, 12113, 1012, 4661, 1996, 3151, 12853, 18546, 1998, 3886, 3630, 2595, 29656, 12321, 1010, 1996, 2544, 1999, 4717, 2063, 2304, 9909, 1037, 5509, 1998, 6937, 2298, 2000, 2169, 8875, 1997, 1996, 5943, 3074, 1012, 4550, 3210, 1998, 5744, 9972, 6709, 2023, 2200, 4310, 3074, 1012, 2881, 2011, 1043, 1009, 2640, 2996, 1010, 3252, 18058, 1010, 2007, 2049, 2157, 12113, 1010, 2019, 2801, 1997, 6018, 15401, 1012, 2004, 14965, 2389, 2004, 4623, 1010, 2023, 6457, 2003, 1996, 5760, 3367, 3670, 1997, 3330, 28850, 17330, 2004, 17839, 1012, 2715, 1998, 15514, 1010, 16985, 3654, 2003, 5151, 2007, 5744, 1998, 3621, 18309, 16024, 1012, 1996, 6512, 3594, 1037, 5238, 6260, 15929, 1012, 2035, 3787, 1997, 2023, 3074, 2024, 12882, 1011, 2640, 3688, 1010, 2007, 1037, 6020, 2504, 1999, 3408, 1997, 5814, 4781, 1012, 2369, 1037, 3019, 6337, 1010, 3722, 1998, 2489, 2013, 9987, 1010, 2004, 6827, 2004, 1996, 5783, 2013, 2029, 2009, 3138, 2049, 2171, 1010, 14403, 4107, 2715, 6276, 1011, 3341, 7300, 2008, 2024, 12231, 2135, 2614, 1998, 2298, 2830, 2000, 10660, 5082, 1012, 1996, 18797, 1010, 5744, 1998, 4408, 4338, 1010, 28667, 29313, 2015, 1037, 19613, 7224, 1997, 9396, 1999, 1996, 5723, 1010, 2066, 1037, 4990, 2046, 3267, 1010, 2073, 1996, 4834, 1997, 1996, 2300, 1998, 1996, 17160, 3596, 1010, 5425, 2017, 1998, 11320, 3363, 2017, 5251, 1012, 2019, 2396, 1011, 21933, 3543, 3084, 1996, 2327, 10936, 3074, 2004, 4310, 2004, 2049, 13713, 5044, 16024, 1012, 1996, 6457, 4974, 2838, 2019, 24219, 2002, 18684, 20028, 4338, 1012, 2053, 21707, 6987, 1010, 2053, 11664, 5750, 1024, 1996, 2327, 10936, 3074, 2003, 3819, 1999, 2049, 2715, 1998, 27768, 12321 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2559, 3805, 1024, 2019, 4357, 2007, 2745, 1037, 1012, 9388, 20897, 2050, 2006, 2254, 1015, 1010, 2745, 1037, 1012, 9388, 20897, 2050, 2165, 2436, 2004, 2343, 1998, 5766, 1997, 1996, 8040, 29443, 4523, 2470, 2820, 1012, 2182, 1010, 2002, 8847, 2007, 27857, 21058, 1997, 2739, 1004, 5328, 2055, 7832, 2164, 2010, 4281, 1010, 18402, 1010, 1998, 4432, 2005, 1996, 2925, 1012, 2054, 2419, 2017, 2000, 1996, 8040, 29443, 4523, 2470, 2820, 1029, 3174, 2086, 3283, 1010, 8040, 29443, 4523, 3253, 2033, 1037, 2597, 1012, 1045, 2001, 2012, 1996, 2118, 1997, 4174, 2012, 1996, 2051, 1012, 1045, 2245, 2146, 1998, 2524, 2055, 2009, 1010, 1998, 2787, 1045, 2145, 5632, 1996, 2440, 8674, 1997, 1037, 8552, 2118, 2007, 2116, 5190, 1997, 8324, 2015, 1012, 2074, 2058, 2184, 2086, 3283, 1010, 1045, 2333, 2000, 15384, 8256, 1012, 2012, 8256, 1010, 1045, 2366, 2004, 3242, 1997, 1996, 6370, 2533, 2005, 2274, 2086, 1998, 2179, 1045, 5632, 2877, 1037, 3375, 1998, 5533, 7578, 2177, 1997, 2111, 1012, 1037, 2261, 2335, 2058, 1996, 2086, 1010, 2957, 3393, 18703, 1031, 2280, 2343, 1033, 2052, 2360, 1010, 1523, 2298, 1010, 2065, 2017, 2024, 3201, 2000, 2191, 1037, 2693, 1529, 1524, 1045, 4716, 8040, 29443, 4523, 1037, 2193, 1997, 2335, 1010, 1998, 1045, 1521, 2310, 2467, 12749, 1996, 2173, 1012, 2061, 2043, 2023, 4495, 2234, 2247, 1010, 1045, 2245, 2009, 2001, 1037, 2146, 2915, 2021, 1045, 4162, 1012, 2054, 4654, 17847, 2015, 2017, 2055, 1996, 3105, 2004, 2343, 1029, 1045, 1521, 1049, 7568, 2055, 1996, 4022, 1997, 4083, 2129, 7366, 2573, 1998, 11243, 2008, 3716, 2000, 2966, 3471, 1517, 1998, 2008, 1521, 1055, 2428, 2108, 7568, 2055, 1996, 3260, 1997, 1996, 8040, 29443, 4523, 2470, 2820, 1012, 2500, 2012, 8040, 29443, 4523, 2024, 7568, 2055, 2008, 1010, 2205, 1010, 1998, 2008, 1521, 1055, 2307, 1012, 2017, 1521, 2310, 2042, 2182, 2144, 2251, 1012, 2054, 2024, 2070, 1997, 2115, 2034, 19221, 1997, 1996, 2820, 1029, 1996, 2087, 11434, 2518, 1045, 4342, 2003, 2008, 1010, 1999, 2236, 1010, 1996, 4513, 1998, 3095, 2031, 2019, 6387, 13347, 2000, 2023, 2173, 1012, 1045, 2939, 2046, 10272, 2386, 1996, 2060, 2154, 1998, 1996, 3036, 3457, 2012, 1996, 4624, 1010, 6647, 12170, 20850, 4402, 1010, 1998, 1045, 4930, 2039, 1037, 4512, 1010, 1998, 2009, 2001, 3154, 2002, 14977, 1037, 2843, 1012, 2043, 1996, 4513, 2707, 2000, 2831, 2055, 2054, 2027, 2031, 2042, 2583, 2000, 7523, 2182, 1010, 2009, 1521, 1055, 3154, 2027, 2031, 2019, 14449, 1012, 2008, 2038, 2042, 6748, 1998, 2062, 6387, 2084, 1045, 3517, 1012, 2008, 2003, 2183, 2000, 2393, 2149, 1999, 1996, 2146, 2448, 1012, 2053, 2173, 2003, 3819, 1012, 8040, 29443, 4523, 2038, 2049, 7860, 1010, 2752, 2005, 7620, 1012, 2021, 2065, 2017, 2514, 6118, 2055, 1996, 2173, 2073, 2017, 2147, 1010, 2017, 2024, 5627, 2000, 2393, 1998, 2022, 2112, 1997, 1996, 5576, 1012, 2054, 2024, 1996, 5221, 7860, 2017, 2156, 1029, 2045, 2024, 3361, 15399, 1012, 8040, 29443, 4523, 2003, 1037, 3730, 1011, 2769, 5145, 1012, 2028, 3160, 1045, 2071, 3198, 1999, 2709, 2003, 1010, 1523, 2339, 2079, 4513, 2272, 2000, 8040, 29443, 4523, 1029, 1524, 2027, 2071, 2994, 1999, 1037, 2118, 1998, 1010, 2130, 2007, 2053, 2470, 2490, 1010, 8145, 3157, 2706, 1997, 10300, 2005, 4252, 1012, 2021, 2005, 2008, 1010, 2037, 2420, 2052, 2022, 3714, 2039, 2007, 2035, 7957, 1997, 2118, 10198, 1012, 1045, 2106, 2216, 2005, 2116, 2086, 1012, 2070, 1997, 2216, 2024, 22249, 1010, 2021, 2823, 2027, 2202, 2017, 2185, 2013, 2470, 2043, 2017, 2052, 2738, 4133, 1999, 1037, 6845, 3331, 2000, 2493, 2055, 1037, 3327, 2765, 1012, 2012, 8040, 29443, 4523, 1010, 2017, 2064, 2272, 1999, 2012, 1996, 2927, 1997, 1996, 2154, 1998, 2065, 8307, 4858, 2242, 9223, 2030, 1037, 2502, 7551, 2573, 1010, 2017, 2071, 5247, 2035, 2154, 3241, 2055, 2009, 1010, 3331, 2055, 2009, 1010, 3015, 2055, 2009, 1529, 2008, 2196, 6433, 1999, 1037, 2118, 4044, 1012, 4513, 2272, 2182, 2138, 2027, 2064, 2079, 16655, 12273, 29440, 2098, 2470, 1012, 2005, 2008, 1010, 2045, 1521, 1055, 1996, 3891, 1997, 6274, 2769, 2000, 4636, 1996, 2470, 2017, 2215, 2000, 2079, 1012, 4513, 2036, 2272, 1998, 2994, 2138, 1997, 1996, 6502, 2182, 1517, 1996, 2200, 2190, 1999, 3941, 1012, 2061, 2057, 2342, 2000, 9699, 4219, 2000, 2562, 2008, 6502, 2012, 1996, 3284, 2504, 1012, 2057, 2342, 2000, 9699, 4219, 2000, 13024, 1996, 2279, 4245, 1997, 2047, 4513, 1012, 2057, 2342, 2000, 2031, 4219, 2000, 2562, 2256, 4513, 2040, 2097, 2131, 4107, 2013, 2060, 3182, 1012, 2096, 2045, 2024, 2367, 3314, 1999, 3516, 1010, 1999, 2474, 8183, 4571, 1996, 3361, 15399, 2024, 3278, 1012, 2057, 2031, 2018, 2146, 1011, 2051, 6550, 2007, 1523, 2502, 6887, 27292, 2050, 1524, 2008, 2024, 2025, 2183, 2000, 2022, 5567, 1999, 1996, 2783, 4044, 1012, 3516, 2003, 2145, 1999, 1996, 3930, 4403, 1010, 2145, 2007, 2769, 2013, 1996, 2110, 1997, 3516, 1010, 2061, 2045, 2003, 4064, 2686, 2138, 2057, 2024, 2145, 14357, 6958, 14766, 1012, 2057, 1521, 2128, 2006, 2650, 2000, 3113, 1996, 3516, 6847, 27373, 1012, 2035, 1997, 2023, 26077, 2015, 2091, 2000, 1996, 2755, 2008, 1996, 5221, 3277, 5307, 2149, 2003, 2129, 2000, 2693, 2830, 1999, 1037, 3663, 2073, 1996, 2976, 2231, 2097, 2025, 2022, 1996, 4256, 2009, 2038, 2042, 1999, 1996, 2627, 1012, 2008, 2097, 2404, 2130, 2062, 3778, 2006, 2149, 2000, 5333, 4722, 5029, 1012, 2057, 1521, 2128, 2559, 2012, 1037, 5257, 1997, 29291, 1998, 1037, 2709, 2006, 2256, 5211, 1999, 7789, 3200, 1031, 12997, 1033, 1012, 12997, 2003, 2183, 2000, 13276, 2039, 1012, 2025, 2383, 1037, 2034, 1011, 2916, 3820, 2004, 2057, 2031, 2018, 1999, 1996, 2627, 2097, 2191, 2149, 2298, 8736, 2046, 1996, 2925, 2005, 3361, 5770, 2013, 2256, 12997, 1010, 2021, 2057, 2097, 2219, 2035, 1997, 2054, 2057, 7523, 2182, 1998, 2008, 2323, 2022, 1037, 3622, 5770, 2000, 2149, 1012, 2071, 2017, 2831, 1037, 2210, 2062, 2055, 29291, 1029, 2339, 2323, 2111, 2507, 2182, 6431, 6974, 1029, 2111, 2507, 2138, 2045, 2003, 2242, 2055, 2054, 2057, 2024, 2725, 2008, 9326, 1037, 13924, 1999, 2068, 1012, 2169, 1997, 2149, 2064, 23114, 2125, 3008, 1010, 9504, 1010, 5916, 2015, 1010, 27328, 1010, 12334, 2040, 4265, 2013, 2070, 4295, 1012, 2009, 1521, 1055, 2074, 13418, 1012, 2043, 4295, 9326, 1010, 2057, 2411, 2066, 2000, 2079, 2242, 2055, 2009, 1012, 2009, 1521, 1055, 2028, 1997, 1996, 2691, 5919, 1997, 2797, 3228, 2182, 1012, 17843, 2963, 2055, 2054, 2057, 1521, 2128, 2725, 1998, 2215, 2000, 2490, 2009, 1012, 1997, 2607, 1010, 2057, 2031, 2000, 2425, 2068, 2054, 2057, 1521, 2128, 2725, 1010, 1998, 1045, 1521, 1049, 5938, 2070, 1997, 2026, 2051, 2725, 2008, 1012, 2823, 2054, 9326, 1037, 13924, 2003, 2019, 3265, 2027, 3113, 1010, 2360, 1037, 4513, 2266, 2551, 2006, 1037, 3327, 4295, 1012, 2043, 2027, 2191, 1037, 6691, 1010, 2027, 2031, 1996, 4495, 2000, 2156, 2008, 2711, 2022, 3144, 1010, 2551, 2006, 2242, 2027, 2903, 1999, 2030, 1037, 4295, 2027, 2215, 2000, 2156, 8342, 2041, 1012, 2061, 2009, 1521, 1055, 2411, 6171, 3167, 1012, 2008, 1521, 1055, 2339, 29291, 2003, 2035, 2055, 6550, 1517, 5962, 2000, 2054, 4022, 17843, 2424, 5875, 1998, 2059, 4760, 2068, 2057, 2031, 1996, 4022, 2000, 2191, 1037, 2350, 5456, 2008, 2027, 2064, 2022, 1037, 2112, 1997, 1012, 3475, 1521, 1056, 3937, 2470, 5399, 1997, 1037, 3313, 1011, 13011, 4690, 1517, 2017, 1521, 2128, 2086, 2185, 2013, 2966, 2135, 4162, 2470, 1010, 2348, 1996, 8050, 5456, 2089, 4821, 2031, 1037, 3469, 4254, 1029, 1045, 2941, 2123, 1521, 1056, 5993, 2007, 2008, 1012, 2292, 1521, 1055, 2224, 1996, 3522, 2742, 1997, 5076, 5163, 1521, 1055, 11937, 7011, 4328, 10521, 1031, 2085, 4844, 1999, 2885, 2005, 1996, 3949, 1997, 6904, 4328, 6632, 2140, 6864, 27710, 26572, 2638, 10976, 20166, 1033, 1012, 2012, 1996, 2540, 1997, 2009, 1010, 1045, 1521, 1040, 2360, 5076, 2763, 2038, 2048, 25289, 1012, 2028, 2003, 2000, 2272, 2039, 2007, 1037, 4319, 2008, 7126, 7438, 4295, 1012, 2002, 1521, 1055, 2074, 2589, 2008, 1012, 2021, 1996, 2060, 6896, 2003, 2005, 1996, 2671, 2993, 1012, 2061, 5076, 1521, 1055, 4439, 2486, 2001, 4824, 2129, 8171, 10671, 1010, 1998, 2043, 2027, 28616, 10371, 2054, 6433, 1517, 2200, 3937, 1010, 8050, 2147, 1010, 2021, 2036, 4072, 2000, 2191, 1037, 4319, 1012, 3841, 2135, 9153, 29656, 2003, 1996, 2069, 3949, 2005, 11320, 12207, 1010, 1037, 2200, 8552, 4295, 1012, 2957, 3393, 18703, 1521, 1055, 22931, 2024, 1996, 2974, 2008, 4319, 2001, 2241, 2006, 1012, 2045, 2001, 14910, 7895, 29656, 2077, 2008, 1012, 14910, 7895, 29656, 2097, 2574, 2022, 1996, 2922, 4855, 4319, 1999, 1996, 2088, 1012, 2000, 2033, 1010, 8040, 29443, 4523, 5836, 1996, 2200, 2190, 1999, 8050, 2470, 11211, 2007, 2559, 15436, 2005, 1996, 5449, 2389, 3538, 1010, 2029, 3138, 8050, 5456, 1998, 4332, 2009, 2046, 5850, 1012, 2043, 1045, 2001, 2012, 4174, 1010, 1999, 1996, 2966, 2082, 1521, 1055, 6897, 6370, 2533, 1010, 1996, 9349, 7066, 2052, 2360, 1010, 1523, 2017, 1521, 2128, 2061, 2521, 2185, 2013, 1031, 1996, 9349, 1033, 1012, 1524, 2009, 2596, 2062, 2066, 2008, 2059, 1010, 2138, 2017, 2081, 1037, 8050, 5456, 1010, 2017, 2405, 2009, 1010, 1998, 2008, 2001, 2062, 2030, 2625, 1996, 2203, 1997, 2009, 1012, 2021, 2012, 8040, 29443, 4523, 1010, 2009, 1521, 1055, 2025, 2074, 2055, 3937, 5456, 1010, 2021, 2036, 2054, 2064, 2017, 2064, 2079, 2007, 2009, 1012, 2008, 1521, 1055, 2367, 1012, 1045, 2425, 17843, 2054, 2256, 8050, 15636, 2064, 2079, 1012, 1045, 2425, 2068, 2057, 2024, 2055, 5456, 1517, 2008, 1521, 1055, 2054, 2057, 2079, 1517, 2021, 2057, 2123, 1521, 1056, 2292, 2009, 2717, 2045, 1010, 1998, 2057, 1521, 2310, 2288, 4973, 2000, 2265, 2009, 1012, 2182, 1010, 3937, 2470, 1998, 4022, 5097, 2175, 2192, 1011, 1999, 1011, 2192, 1012, 2115, 2219, 2147, 2038, 2958, 2094, 8050, 5456, 1998, 2966, 4646, 1012, 2057, 2318, 1037, 2194, 1012, 2026, 2269, 2056, 1045, 2633, 2442, 2031, 2589, 2242, 2590, 999, 2057, 2985, 2086, 2667, 2000, 3305, 1996, 9487, 4531, 2008, 1037, 13922, 2107, 2004, 9152, 12412, 15772, 1010, 2023, 11704, 13922, 1010, 2003, 21575, 2668, 3778, 1998, 2003, 2920, 1999, 4083, 1010, 1999, 3638, 1012, 2673, 1999, 5549, 8156, 1025, 1037, 3221, 1997, 4511, 2003, 2204, 1010, 2184, 2003, 2763, 2919, 1012, 2009, 1521, 1055, 1996, 2168, 2007, 1037, 13922, 2066, 9152, 12412, 15772, 1012, 7366, 2038, 4342, 2129, 2000, 5047, 2009, 1012, 2009, 1521, 1055, 5186, 11704, 1010, 2664, 2057, 1521, 2128, 2437, 2009, 1998, 2478, 2009, 1999, 2070, 2590, 19389, 6194, 1012, 2009, 2074, 4332, 2041, 2057, 2123, 1521, 1056, 2191, 2200, 2172, 1997, 2009, 1012, 2058, 1996, 2086, 1010, 2057, 2356, 3980, 2055, 2129, 7366, 16024, 2107, 1037, 11704, 13922, 2000, 4287, 2041, 2122, 2590, 19389, 6194, 1012, 2057, 2059, 2318, 2000, 3198, 2129, 7366, 4136, 1996, 4489, 2090, 9152, 12412, 15772, 1010, 6351, 18847, 19491, 1010, 1998, 7722, 1012, 7366, 2038, 2000, 2298, 2012, 2035, 2093, 1998, 2425, 1996, 4489, 2013, 1037, 5072, 7339, 1010, 1998, 2009, 1521, 1055, 2025, 2061, 3733, 1012, 1999, 23218, 2008, 2041, 1010, 2057, 3651, 2008, 2057, 2071, 2224, 2256, 8050, 4824, 2000, 8116, 9152, 12412, 15772, 2030, 6351, 18847, 19491, 2030, 7722, 2000, 3327, 14095, 1010, 1998, 2045, 2024, 2204, 1010, 6742, 4436, 2005, 5782, 2000, 2079, 2035, 2093, 1012, 2061, 2057, 2626, 2070, 13979, 1010, 1998, 2045, 1521, 1055, 1037, 2210, 2194, 1031, 18168, 27678, 2595, 1033, 2008, 1521, 1055, 4082, 2157, 2085, 1999, 2624, 3799, 1012, 11504, 1010, 2009, 2097, 2022, 3144, 1012, 2129, 2106, 2017, 2131, 4699, 1999, 2671, 1999, 1996, 2034, 2173, 1029, 1045, 2031, 1037, 2385, 1011, 2095, 2214, 1012, 1045, 3427, 2032, 2043, 2002, 2001, 1037, 3336, 1012, 2296, 4845, 2003, 1037, 7155, 1012, 2027, 2024, 2035, 2667, 2000, 3275, 2041, 1996, 2088, 1517, 3251, 2027, 2024, 4688, 2006, 1996, 2723, 1998, 1059, 3270, 23177, 2012, 2242, 2030, 2667, 2000, 3275, 2041, 2073, 1996, 3608, 2003, 2183, 2000, 2175, 2043, 2009, 9372, 2408, 1996, 2723, 1012, 1045, 2179, 2009, 5875, 2000, 3422, 2032, 1012, 1045, 2245, 2055, 2870, 1998, 2013, 2026, 5700, 5758, 1010, 1045, 2467, 2359, 2000, 2113, 2129, 2477, 2147, 1012, 2021, 1996, 4937, 20766, 6774, 2617, 2001, 2255, 1018, 1010, 3890, 1010, 2043, 1045, 2001, 2416, 2086, 2214, 1998, 1996, 15269, 3390, 11867, 4904, 8238, 1012, 1045, 2001, 2416, 1010, 2061, 1045, 2001, 2205, 2402, 2000, 2022, 4452, 1012, 2023, 2001, 1999, 29530, 2047, 2259, 1012, 2009, 2001, 3492, 3147, 2004, 1045, 3342, 2009, 1010, 2019, 2255, 2305, 1010, 1998, 1045, 2404, 2006, 1037, 3082, 6598, 1998, 2253, 2041, 1998, 2768, 2006, 1996, 2392, 10168, 1997, 1996, 2210, 2160, 2057, 2973, 1999, 1998 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2238, 2656, 1010, 2263, 3425, 8040, 22786, 15187, 2041, 10768, 7811, 3282, 2916, 1010, 2021, 2006, 2054, 3978, 3599, 1029, 2182, 2024, 4520, 1997, 16614, 2013, 1996, 3484, 5448, 1999, 25038, 2008, 1045, 2031, 1037, 2524, 2051, 5815, 2039, 1024, 2057, 2707, 3568, 2007, 1037, 2844, 3653, 17421, 16790, 2008, 1996, 2117, 7450, 2157, 2003, 17747, 14258, 1998, 7460, 2000, 2035, 4841, 1012, 1006, 7540, 6728, 1012, 2012, 2184, 1010, 7902, 2794, 1012, 1007, 2009, 2001, 24250, 1996, 4824, 1999, 1996, 2695, 1011, 2942, 2162, 3519, 2008, 1996, 2117, 7450, 5123, 2019, 3265, 2157, 2000, 2224, 2608, 2005, 2969, 1011, 3639, 1012, 1006, 7540, 6728, 1012, 2012, 4008, 1010, 7902, 2794, 1012, 1007, 2004, 1996, 20563, 9285, 3041, 1999, 2023, 5448, 10580, 1010, 1996, 16112, 2157, 1997, 2969, 1011, 3639, 2038, 2042, 2430, 2000, 1996, 2117, 7450, 2157, 1012, 1996, 1031, 5887, 1033, 28497, 7221, 8310, 2000, 1037, 13574, 1997, 2019, 2972, 2465, 1997, 1523, 2608, 1524, 2008, 2003, 24783, 4217, 2011, 2137, 2554, 2005, 2008, 26410, 3800, 1012, 1996, 13574, 8908, 1010, 9308, 1010, 2000, 1996, 2188, 1010, 2073, 1996, 2342, 2005, 3639, 1997, 2969, 1010, 2155, 1010, 1998, 3200, 2003, 2087, 11325, 1012, 2104, 2151, 1997, 1996, 4781, 1997, 17423, 2008, 2057, 2031, 4162, 2000, 4372, 17897, 9250, 6543, 2916, 1010, 21029, 2013, 1996, 2188, 1523, 1996, 2087, 6871, 23646, 1999, 1996, 3842, 2000, 1520, 2562, 1521, 1998, 2224, 2005, 3860, 1997, 2028, 1521, 1055, 2188, 1998, 2155, 1010, 1524, 4700, 2620, 1042, 1012, 7605, 1010, 2012, 4278, 1010, 2052, 8246, 6543, 20327, 1012, 1006, 7540, 6728, 1012, 2012, 5179, 1011, 5401, 1010, 7902, 2794, 1012, 1007, 1037, 12368, 2391, 2055, 1996, 4277, 2008, 3425, 7987, 20211, 17248, 1024, 2035, 1997, 2068, 14248, 1996, 11889, 1006, 2030, 10578, 1007, 1997, 4409, 2007, 1037, 2235, 2986, 1998, 2005, 21156, 5397, 1997, 1996, 5195, 1006, 2030, 1999, 1037, 2261, 3572, 1037, 2200, 4766, 2994, 1999, 1996, 2334, 7173, 1007, 1010, 2025, 2007, 3278, 4735, 12408, 1012, 1012, 1012, 1012, 1031, 1059, 1033, 1041, 2079, 2025, 2228, 2008, 1037, 2375, 16625, 1037, 1019, 1011, 11895, 13112, 2986, 1998, 2005, 21156, 5397, 1997, 1996, 3282, 2052, 2031, 8729, 1037, 2711, 1999, 1996, 4889, 3690, 2013, 2478, 1037, 3282, 2000, 4047, 2370, 2030, 2010, 2155, 2013, 4808, 1010, 2030, 2008, 2065, 2002, 2106, 2061, 1996, 2375, 2052, 2022, 16348, 2114, 2032, 1012, 1996, 2212, 2375, 1010, 2011, 5688, 1010, 2521, 2013, 16625, 1037, 3576, 2986, 1010, 17016, 4480, 2007, 1037, 2095, 1999, 3827, 1006, 2274, 2086, 2005, 1037, 2117, 11371, 1007, 2005, 2130, 11381, 1037, 3282, 1999, 1996, 2034, 2173, 1012, 1006, 7540, 6728, 1012, 2012, 6079, 1011, 5786, 1010, 7902, 2794, 1012, 1007, 7680, 6562, 2039, 1010, 2009, 2052, 4025, 2008, 1996, 3484, 4324, 2008, 1010, 27081, 2000, 1996, 2117, 7450, 1010, 1000, 2035, 4841, 1000, 2031, 2019, 1000, 3265, 2157, 2000, 2224, 2608, 2005, 2969, 1011, 3639, 1012, 1000, 1998, 1010, 1996, 2117, 7450, 2052, 2022, 2087, 18636, 3973, 9099, 17603, 29417, 2043, 2023, 2157, 2003, 8949, 7775, 1999, 1996, 1000, 2188, 1010, 2073, 1996, 2342, 2005, 3639, 1997, 2969, 1010, 2155, 1010, 1998, 3200, 2003, 2087, 11325, 1000, 2083, 1996, 5081, 1997, 2086, 1999, 3827, 9350, 10222, 2084, 2074, 1037, 3576, 2986, 1012, 2004, 3180, 8141, 2113, 1010, 1045, 2228, 2035, 2122, 23617, 2015, 5587, 2039, 2000, 2437, 6543, 2135, 21068, 1996, 5081, 1997, 5729, 11746, 2006, 10768, 7811, 2015, 1999, 6664, 1997, 13780, 1012, 2044, 2035, 1010, 10768, 7811, 2015, 2024, 4841, 2007, 1037, 2342, 2000, 4047, 3209, 1998, 2037, 2945, 2083, 4363, 4409, 1999, 2037, 2188, 1012, 1998, 2664, 1010, 2035, 10768, 7811, 2015, 1006, 2130, 2512, 1011, 6355, 3924, 2066, 4572, 19533, 1998, 9246, 5954, 1007, 2227, 1996, 5081, 1997, 2184, 2086, 1999, 2976, 3827, 2005, 2074, 18840, 1037, 23646, 1012, 6600, 1010, 1996, 3484, 5448, 7782, 2135, 1998, 13852, 2135, 19514, 2008, 1000, 2498, 1999, 2256, 5448, 2323, 2022, 2579, 2000, 3459, 4797, 2006, 2146, 24911, 13574, 2015, 2006, 1996, 6664, 1997, 13780, 2011, 10768, 7811, 2015, 1998, 1996, 10597, 5665, 1012, 1000, 1006, 7540, 6728, 1012, 2012, 5139, 1012, 1007, 2428, 1029, 2129, 2064, 2008, 1006, 4895, 29427, 7810, 1998, 4895, 6342, 9397, 15613, 1007, 4487, 25572, 2022, 19942, 2007, 2035, 2008, 2038, 2042, 2056, 2077, 1029, 2000, 2010, 4923, 1010, 3425, 8799, 7919, 19514, 1999, 2023, 6123, 2008, 10768, 7811, 2015, 2024, 2025, 4937, 27203, 2135, 12421, 2013, 28428, 2034, 1998, 2959, 7450, 2916, 1998, 2947, 1996, 16686, 21165, 2100, 1000, 4107, 2053, 2126, 2000, 25546, 4697, 2049, 19326, 4013, 3630, 17457, 8163, 1012, 1000, 2051, 1998, 15382, 2097, 2425, 2065, 9583, 2030, 4487, 25572, 2203, 2039, 21949, 1996, 4646, 1997, 1996, 2117, 7450, 1999, 2925, 3572, 1012, 7928, 8788, 1010, 2144, 2051, 10047, 4168, 24610, 2389, 1010, 12290, 2031, 2439, 3056, 2916, 1012, 2009, 1005, 1055, 2008, 3722, 1012, 1996, 2157, 2000, 3789, 2003, 9062, 1010, 1998, 2009, 2064, 2022, 2579, 2185, 1012, 6866, 2011, 1024, 2976, 2923, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 2656, 1024, 5641, 2572, 2061, 2976, 2923, 1010, 2003, 2009, 2115, 2597, 2008, 1037, 2110, 2064, 2619, 2040, 27791, 2566, 9103, 2854, 2013, 12560, 2010, 2030, 2014, 4676, 1029, 2057, 1005, 2310, 2035, 3191, 1996, 13012, 2618, 2391, 2008, 12290, 2089, 2439, 3056, 2916, 1012, 1996, 3160, 4150, 1010, 2059, 1010, 3251, 2027, 2089, 12098, 16313, 19848, 6588, 4558, 2916, 2008, 2031, 2053, 4434, 2007, 2054, 2027, 1005, 2310, 2589, 1012, 6866, 2011, 1024, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 4029, 1024, 2538, 2572, 2292, 2033, 3046, 2153, 1024, 2061, 2976, 2923, 1010, 2003, 2009, 2115, 2597, 2008, 1037, 2110, 2064, 7221, 2619, 2040, 27791, 2566, 9103, 2854, 2013, 12560, 2010, 2030, 2014, 4676, 1029, 2057, 1005, 2310, 2035, 3191, 1996, 13012, 2618, 2391, 2008, 12290, 2089, 4558, 3056, 2916, 1012, 1996, 3160, 4150, 3251, 2027, 2089, 12098, 16313, 19848, 6588, 4558, 2916, 2008, 2031, 2053, 4434, 2007, 2054, 2027, 1005, 2310, 2589, 1012, 6866, 2011, 1024, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 4229, 1024, 6185, 2572, 10768, 7811, 2015, 2036, 9279, 2037, 2916, 2000, 2022, 2489, 2013, 2383, 3629, 4284, 2098, 2588, 2068, 1999, 3521, 7292, 2302, 2037, 9619, 1010, 1998, 1999, 12498, 1010, 3272, 2004, 3024, 2011, 2375, 1010, 2104, 1996, 2353, 7450, 1025, 2037, 2916, 2000, 1996, 2349, 2832, 1997, 2375, 1010, 1998, 4071, 2013, 14770, 2969, 1011, 4297, 20026, 12758, 1010, 2104, 1996, 3587, 7450, 1025, 2037, 2916, 2000, 2031, 1996, 5375, 1997, 9517, 1010, 2000, 14323, 1996, 9390, 2114, 2068, 1010, 1998, 2000, 2031, 2037, 6580, 1999, 1037, 4735, 2553, 4340, 2011, 1037, 6467, 1010, 2104, 1996, 4369, 7450, 1025, 2037, 2157, 2000, 1037, 3979, 2011, 6467, 1999, 2976, 2457, 1999, 2019, 2895, 2012, 2691, 2375, 1010, 2073, 1996, 3815, 1999, 6704, 23651, 1002, 2322, 1010, 2104, 1996, 5066, 7450, 1025, 1998, 2037, 2916, 2000, 2022, 2489, 2013, 11664, 21892, 1010, 2013, 10311, 1998, 5866, 29115, 1010, 1998, 2013, 2383, 2000, 2695, 11664, 15358, 1010, 2104, 1996, 5964, 7450, 1012, 1996, 15276, 7450, 25822, 2163, 2013, 11113, 14615, 4726, 1996, 14310, 1998, 10047, 23041, 6447, 1997, 4480, 1997, 1996, 2142, 2163, 1012, 25038, 2515, 2025, 4025, 1999, 2151, 2126, 2000, 2735, 2588, 9068, 1010, 1998, 2947, 2515, 2025, 2191, 13574, 2825, 2065, 2028, 2003, 2019, 7344, 1012, 3568, 1010, 2054, 2003, 2045, 2055, 1996, 2117, 7450, 1010, 2030, 2055, 2049, 2157, 2000, 10295, 4255, 2028, 2453, 16286, 2224, 1999, 2969, 1011, 3639, 1006, 2029, 3849, 2000, 2022, 1996, 3277, 1996, 2457, 2052, 2066, 2149, 2000, 3579, 2006, 1999, 25038, 1007, 1010, 2008, 23329, 2015, 10768, 7811, 2015, 2013, 1996, 3860, 1997, 2023, 9347, 1997, 1996, 3021, 1997, 2916, 1029, 6866, 2011, 1024, 6754, 3557, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 3429, 1024, 5354, 2572, 2045, 2024, 3056, 2916, 2008, 3685, 2022, 2579, 2185, 1012, 1996, 1000, 16112, 2157, 1997, 2969, 1011, 3639, 1000, 1999, 2028, 1005, 1055, 2188, 2089, 2022, 2028, 1997, 2068, 1012, 2045, 2024, 2048, 3584, 3314, 1013, 2967, 1999, 2023, 5981, 1012, 2034, 1010, 2045, 2024, 6355, 10768, 7811, 2015, 1998, 2512, 1011, 6355, 24648, 1006, 1998, 2011, 2512, 1011, 6355, 1010, 1045, 2812, 5621, 2512, 1011, 6355, 2066, 2566, 9103, 2854, 1010, 25297, 6202, 1010, 4171, 11371, 1010, 4483, 13302, 1010, 14925, 2102, 1012, 1007, 2117, 1010, 2045, 2003, 1000, 2503, 1996, 2188, 1000, 6431, 1000, 2648, 1996, 2188, 1000, 1012, 2028, 2071, 3861, 1037, 8370, 2007, 2048, 8902, 12942, 2015, 1998, 2048, 10281, 1010, 1998, 1999, 2169, 3482, 10775, 1996, 16406, 1997, 2635, 2185, 1996, 2157, 1012, 1999, 2026, 5448, 1010, 2512, 1011, 6355, 10768, 7811, 2015, 1010, 2012, 1037, 6263, 1010, 2442, 9279, 2037, 16112, 2157, 2000, 2969, 3639, 1999, 1996, 2188, 1012, 2041, 17417, 3207, 1997, 1996, 2188, 2003, 2025, 2004, 3056, 1010, 1998, 2023, 2003, 2073, 1996, 1000, 3115, 1997, 17423, 1000, 2003, 2590, 1012, 6355, 10768, 7811, 2015, 2323, 2036, 5441, 2037, 16112, 2157, 2000, 2969, 3639, 1999, 1996, 2188, 1012, 2174, 1010, 10047, 2080, 1010, 2027, 2064, 6065, 2009, 2648, 1997, 1996, 2188, 1010, 2073, 1996, 2157, 2003, 2025, 1000, 2087, 16222, 10421, 1012, 1000, 6866, 2011, 1024, 2139, 3501, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 4700, 1024, 5840, 2572, 2027, 2106, 2025, 2224, 2653, 1000, 2005, 2742, 1000, 2030, 1000, 2107, 2004, 1000, 10768, 7811, 2015, 2030, 10597, 5665, 1012, 1996, 3484, 1999, 8040, 4140, 2271, 2109, 3154, 2653, 2006, 3183, 2089, 2022, 7775, 1012, 21360, 6528, 4645, 3849, 2000, 2022, 1999, 15333, 9331, 8551, 2100, 1010, 2004, 2092, 2004, 1996, 2662, 1000, 9200, 3282, 1000, 7221, 2015, 1012, 28800, 1997, 13202, 5918, 2005, 13131, 1013, 18840, 1037, 23646, 2024, 2036, 2041, 1996, 2341, 1012, 6866, 2011, 1024, 3505, 1064, 12022, 2656, 1010, 2263, 2340, 1024, 2753, 1024, 2676, 2572, 1045, 4687, 2065, 2057, 2024, 8660, 2000, 15306, 1012, 2106, 8040, 22786, 1006, 1999, 2054, 3849, 2000, 3815, 2000, 4487, 25572, 1007, 18921, 20464, 9232, 1996, 6061, 2008, 2070, 23646, 9259, 2006, 10768, 7811, 2015, 2024, 20454, 1006, 3391, 2445, 1996, 17975, 2006, 2969, 1011, 3639, 1007, 1029, 3383, 2002, 2069, 2965, 2027, 2024, 2025, 2025, 9352, 29205, 1012, 1012, 1012, 2045, 2089, 2022, 2070, 3389, 4576, 2000, 5478, 1996, 7349, 2015, 2000, 19274, 1037, 1000, 9608, 6922, 1000, 2000, 10768, 7811, 23646, 7221, 2015, 1012, 1006, 2005, 6013, 1010, 4526, 1037, 9608, 4646, 2832, 2005, 2512, 1011, 6355, 19591, 2000, 12452, 1996, 2157, 1010, 5128, 2051, 6537, 2006, 1996, 7221, 1010, 2030, 9034, 1996, 2231, 2000, 6912, 9608, 1998, 2512, 1011, 15275, 19258, 1999, 10561, 3251, 1037, 3056, 7979, 10768, 7811, 2323, 2022, 3039, 2000, 10295, 1037, 23646, 1007, 1012, 2107, 9608, 9259, 1010, 10047, 6806, 1010, 2052, 2022, 2062, 9608, 2084, 2116, 9259, 2872, 2006, 7979, 3348, 19591, 1012, 1045, 2052, 2025, 18921, 20464, 9232, 1996, 6061, 1997, 2619, 7979, 1997, 1037, 3576, 2512, 1011, 6355, 24648, 5109, 3283, 5147, 10368, 1996, 7221, 1012, 1006, 3383, 2002, 2071, 2022, 2019, 4728, 11139, 5794, 4667, 6926, 1010, 2031, 1037, 2155, 1997, 2176, 1010, 1998, 2444, 1999, 1037, 4795, 5101, 2205, 1007, 1012, 6866, 2011, 1024, 7150, 1064, 12022, 2656, 1010, 2263, 2260, 1024, 4002, 1024, 4464, 7610, 2241, 2006, 2019, 3988, 3752, 1997, 1996, 3484, 5448, 1010, 1996, 2613, 1000, 25038, 4119, 1000, 3658, 1999, 10368, 1037, 3715, 2104, 2324, 15529, 6227, 2549, 1006, 1039, 1007, 1006, 1015, 1007, 1006, 1037, 1007, 1006, 1045, 1007, 1012, 2339, 2323, 2619, 1006, 2040, 2003, 2025, 4728, 1037, 10890, 2711, 1007, 2920, 1999, 1037, 4319, 9714, 2227, 1037, 3584, 1019, 2095, 10915, 6263, 2005, 28428, 2010, 8050, 2157, 2000, 2969, 3639, 1029, 6866, 2011, 1024, 2019, 2239, 1012, 2375, 7805, 1064, 12022, 2656, 1010, 2263, 2260, 1024, 2324, 1024, 2871, 7610, 1996, 2110, 2003, 4709, 2000, 6728, 3170, 2008, 2619, 2040, 27791, 1037, 24648, 2003, 2062, 3497, 2000, 2224, 1996, 5195, 2005, 6206, 5682, 2084, 2005, 1006, 26410, 1007, 2969, 1011, 3639, 5682, 1012, 6866, 2011, 1024, 3889, 1064, 12022, 2656, 1010, 2263, 2260, 1024, 2539, 1024, 2403, 7610, 3505, 1011, 2106, 2017, 2941, 3191, 1996, 2457, 1005, 1055, 5448, 1029, 8040, 22786, 4919, 2163, 2008, 6867, 2024, 3039, 2000, 5478, 1037, 6105, 2005, 1996, 5309, 2030, 6664, 1997, 1037, 3282, 2004, 2146, 2004, 2027, 2024, 2025, 2108, 6380, 2005, 1000, 15275, 1998, 6178, 7277, 6313, 1000, 4436, 1012, 1998, 2008, 2001, 2025, 4487, 25572, 1010, 2021, 2612, 2009, 2001, 2112, 1997, 1996, 3173, 1006, 2008, 5887, 2052, 2022, 3223, 2000, 3946, 2720, 1012, 25038, 1037, 6105 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 1996, 24774, 1011, 6381, 1011, 11721, 3436, 6028, 2064, 2022, 4162, 2000, 1996, 3945, 2005, 3117, 3558, 13352, 2012, 2659, 7715, 2138, 1997, 2049, 2898, 2491, 20470, 15148, 1997, 1996, 3715, 6839, 4304, 1012, 24774, 1011, 6381, 1011, 4796, 2094, 2492, 1011, 3466, 9099, 20483, 2869, 2024, 2411, 13072, 2588, 11520, 1010, 2174, 1010, 2138, 1997, 1996, 2312, 4489, 2090, 1996, 9829, 4935, 21374, 1997, 7708, 24774, 26820, 1998, 5024, 4539, 4475, 1012, 1999, 2023, 3259, 2057, 3073, 1037, 6742, 6028, 2005, 4292, 2039, 24774, 1011, 6381, 1011, 4796, 2094, 2492, 1011, 3466, 9099, 20483, 2869, 2005, 2659, 1011, 4860, 11702, 1012, 2009, 4473, 6540, 11702, 1998, 13416, 1996, 4816, 1999, 23393, 23924, 20175, 2100, 2011, 8161, 1996, 18330, 10178, 7013, 1999, 7708, 24774, 6381, 1012, 1005, 3166, 1024, 1011, 8038, 2863, 16918, 27006, 4430, 5178, 1011, 10930, 16867, 21871, 8067, 1011, 7632, 13238, 14228, 2202, 3148, 1011, 10930, 6182, 22204, 27006, 6761, 1011, 13843, 16867, 10556, 3351, 4648, 1011, 26882, 10556, 11872, 2850, 24751, 1024, 1011, 1005, 3968, 21593, 3388, 6279, 28065, 1012, 12170, 2497, 1005, 2516, 1024, 1005, 24774, 1011, 6381, 1011, 11721, 3436, 16437, 2005, 6540, 11702, 1998, 4359, 4816, 1999, 23393, 23924, 20175, 2100, 2012, 2659, 7715, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 4646, 1997, 1996, 24774, 1011, 6381, 1011, 11721, 3436, 6028, 2000, 2659, 1011, 4860, 5584, 2038, 6296, 6196, 3086, 2138, 2009, 2064, 2491, 1996, 3715, 6839, 4304, 2058, 2019, 5186, 2898, 2846, 1012, 1031, 1030, 20377, 16576, 1033, 2023, 6028, 3594, 2019, 24774, 6381, 1006, 7554, 5474, 1999, 1996, 6381, 4403, 2012, 2282, 4860, 1007, 2004, 1996, 4796, 3280, 2571, 22601, 1999, 2492, 1011, 3466, 9099, 20483, 2869, 1999, 2029, 1037, 4539, 3430, 4490, 2004, 1037, 3149, 1997, 3715, 11363, 1012, 1999, 2023, 3751, 3313, 6741, 9099, 20483, 2099, 1006, 3968, 7096, 1007, 1010, 1996, 2312, 6178, 6305, 25451, 3401, 1997, 1996, 3751, 3313, 6741, 2012, 1996, 3302, 1997, 1996, 4539, 3430, 4473, 1996, 3149, 2000, 2031, 1037, 2312, 6693, 1997, 3715, 11363, 2006, 1996, 2344, 1997, 1002, 2184, 1034, 1063, 2410, 1065, 1011, 2184, 1034, 1063, 2403, 1065, 1002, 4642, 1002, 1034, 1063, 1011, 1016, 1065, 1002, 1012, 2130, 2043, 1996, 3968, 7096, 2003, 12981, 2000, 2917, 1996, 12809, 2391, 1997, 1996, 24774, 6381, 1010, 1996, 3751, 3313, 6741, 1998, 1996, 4525, 3715, 6839, 4304, 2024, 6560, 1012, 3568, 1010, 2028, 2064, 5468, 1996, 2659, 1011, 4860, 4816, 5144, 1997, 1996, 7099, 2007, 1037, 3715, 6839, 4304, 4758, 1999, 1037, 2898, 2846, 1012, 3751, 1011, 2492, 1011, 10572, 3565, 8663, 8566, 6593, 7730, 2038, 2042, 4663, 1999, 2536, 4475, 2011, 2478, 24774, 1011, 6381, 11721, 3436, 1012, 1031, 1030, 6300, 10790, 1025, 1030, 8945, 2140, 14526, 1025, 1030, 1057, 2368, 14526, 1025, 1030, 18798, 14526, 1025, 1030, 12931, 12521, 1025, 1030, 6300, 12521, 1025, 1030, 8183, 16068, 1025, 1030, 11895, 16068, 1025, 1030, 18952, 16068, 1025, 1030, 11320, 16068, 1025, 1030, 5622, 16048, 1025, 1030, 2522, 2015, 16048, 1025, 1030, 16729, 15136, 1033, 999, 1031, 1006, 1037, 1007, 8040, 28433, 4588, 1997, 1037, 6323, 3968, 7096, 2007, 2053, 3252, 2005, 8161, 1996, 18330, 10178, 1999, 1996, 24774, 6381, 1012, 12475, 1010, 3120, 1010, 1998, 4796, 28688, 2015, 2031, 2042, 24212, 2006, 1996, 3302, 1997, 1037, 2309, 6121, 6323, 1012, 2069, 1996, 3149, 1997, 1996, 3968, 7096, 2006, 1996, 6323, 3302, 2003, 9732, 1011, 12527, 1010, 2029, 8456, 1996, 20299, 1997, 8198, 1012, 1996, 2717, 1997, 1996, 3302, 2003, 7722, 1011, 12527, 1012, 1996, 7722, 18287, 29103, 27152, 2015, 1996, 3149, 2013, 1996, 4796, 1012, 1037, 4530, 1997, 24774, 6381, 2003, 4162, 2000, 3104, 2119, 1996, 3149, 1998, 4796, 28688, 1012, 1006, 1038, 1007, 4860, 18642, 1997, 1996, 7123, 5012, 1997, 2048, 6323, 3968, 21593, 2012, 1996, 4796, 10004, 1997, 1002, 1011, 1015, 1002, 1058, 1012, 1996, 7099, 17350, 2001, 2275, 1996, 2168, 2004, 3491, 1999, 1006, 1037, 1007, 1998, 7594, 2007, 1037, 2048, 1011, 2391, 9563, 1012, 1996, 24774, 6381, 2006, 1996, 7099, 22441, 2001, 3139, 2007, 2019, 4895, 23901, 2235, 3538, 1997, 3221, 1012, 1996, 7099, 22441, 2001, 7594, 2007, 1037, 2176, 1011, 2391, 9563, 1012, 1996, 5012, 1997, 17350, 3402, 3445, 1006, 1996, 2783, 10548, 2000, 1996, 5005, 2504, 1007, 2012, 6421, 1047, 1010, 2029, 2001, 3303, 2011, 1996, 19583, 1997, 24774, 6381, 1012, 1996, 3120, 1998, 12475, 28688, 2015, 2006, 1996, 9732, 1011, 12527, 6323, 3302, 2020, 2036, 6822, 20956, 2125, 1012, 2714, 6215, 1997, 1996, 5080, 3252, 2036, 4158, 2005, 22441, 2012, 13029, 1047, 1012, 1006, 1039, 1007, 1996, 2312, 9829, 4935, 19064, 1997, 7708, 24774, 6381, 4102, 2000, 2008, 1997, 6323, 5260, 2000, 18330, 10178, 1006, 1998, 4525, 17433, 1007, 2012, 1996, 8278, 1012, 1006, 1040, 1010, 1041, 1007, 9380, 24635, 4871, 1997, 1037, 4530, 7485, 1997, 24774, 6381, 1006, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1007, 2006, 1037, 9732, 1011, 12527, 6323, 3302, 2012, 3263, 1047, 1006, 1040, 1007, 1998, 1022, 1047, 1006, 1041, 1007, 1012, 1996, 21963, 1997, 1996, 7708, 24774, 6381, 2001, 5159, 1010, 10712, 2138, 1996, 9732, 1011, 12527, 3302, 1997, 6323, 2003, 3811, 1523, 2512, 1011, 6293, 1524, 1012, 1996, 4530, 7485, 2946, 2012, 2169, 4860, 1998, 2012, 3998, 1047, 2003, 8212, 2011, 18198, 3210, 1012, 1033, 1006, 20965, 2487, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1021, 16344, 5657, 27487, 1000, 1065, 2174, 1010, 2045, 2003, 1037, 6742, 3291, 2005, 2107, 2659, 1011, 4860, 11702, 2006, 3968, 21593, 1024, 7708, 24774, 26820, 2411, 19583, 2012, 2659, 7715, 1012, 2023, 19653, 2015, 2070, 29172, 3896, 2006, 11702, 1010, 2107, 2004, 1037, 5573, 5376, 1999, 1996, 5012, 1011, 4860, 7774, 1006, 20965, 1012, 1015, 1007, 1012, 1037, 2312, 4816, 1999, 23393, 23924, 20175, 2100, 4298, 2349, 2000, 1996, 2334, 11009, 1997, 7708, 24774, 6381, 2013, 1996, 7099, 2038, 2036, 2042, 2988, 2005, 1059, 2015, 1002, 1035, 1016, 1002, 1998, 9587, 2015, 1002, 1035, 1016, 1002, 3968, 21593, 1012, 1031, 1030, 8183, 16068, 1025, 1030, 2522, 2015, 16048, 1033, 2122, 3471, 2024, 10712, 2349, 2000, 1996, 18330, 10178, 3303, 2011, 1996, 2312, 4489, 1999, 1996, 9829, 4935, 19064, 2090, 1996, 7708, 24774, 6381, 1998, 4539, 7099, 2030, 2049, 16305, 1012, 1999, 2023, 3259, 2057, 8970, 2019, 6388, 6028, 2008, 16081, 2229, 1996, 18330, 10178, 1998, 5260, 2000, 6540, 11702, 2006, 3968, 21593, 2012, 2659, 7715, 1012, 2256, 16437, 2015, 2005, 6323, 1998, 13773, 3968, 21593, 1031, 1030, 8038, 2213, 17134, 1025, 1030, 8038, 2213, 16932, 1025, 1030, 8038, 2213, 16048, 1025, 1030, 21871, 16576, 1025, 1030, 21871, 16576, 2475, 1033, 2024, 3491, 2004, 4973, 1012, 2023, 6028, 2097, 3499, 6540, 1998, 8114, 2659, 1011, 4860, 7885, 2007, 3968, 21593, 1998, 2913, 1997, 2152, 1011, 3737, 8168, 2007, 4359, 4816, 1999, 23393, 23924, 20175, 2100, 1012, 3463, 1998, 6594, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1037, 3145, 3444, 1997, 2256, 16437, 2003, 1037, 4675, 5127, 2872, 2682, 1996, 7099, 1013, 16305, 3302, 1006, 20965, 1012, 1016, 1007, 1012, 24774, 6381, 2003, 12889, 2090, 1996, 4675, 5127, 1998, 7099, 1013, 16305, 3302, 1012, 1037, 2714, 16437, 2038, 2042, 2109, 1999, 3025, 7885, 1012, 1031, 1030, 8945, 2140, 14526, 1025, 1030, 12931, 12521, 1033, 2057, 16599, 2182, 2008, 2019, 11706, 12403, 6129, 2090, 1996, 7099, 1013, 16305, 3302, 1998, 1996, 4675, 5127, 2064, 5547, 1996, 18330, 10178, 2008, 3544, 2043, 1996, 5080, 2003, 12981, 1012, 2256, 2801, 2003, 2000, 19079, 2005, 1996, 11520, 1011, 10572, 22802, 4270, 1997, 7708, 24774, 6381, 1999, 1037, 6228, 5450, 2011, 2478, 1996, 22802, 4270, 1997, 1996, 4675, 5127, 2490, 1012, 2065, 1996, 22802, 4270, 1997, 1996, 2490, 2247, 1996, 1062, 8123, 2003, 3469, 2084, 2008, 1997, 1996, 24774, 6381, 1010, 1996, 24774, 6381, 2003, 16620, 2247, 1996, 1062, 8123, 1998, 24545, 2247, 1996, 1060, 2100, 4946, 1012, 2065, 1996, 22802, 4270, 1997, 24774, 6381, 2247, 1996, 1060, 2100, 4946, 2349, 2000, 11520, 17542, 2015, 2023, 4935, 1010, 2045, 2323, 2022, 2053, 18330, 10178, 2247, 1996, 1060, 2100, 4946, 1012, 1996, 4675, 5127, 2064, 2022, 2109, 2004, 1037, 4796, 28688, 2065, 2049, 3302, 2003, 29103, 6204, 3512, 1998, 1037, 5372, 27930, 2003, 2081, 1012, 999, 1031, 1006, 1037, 1010, 1038, 1007, 8040, 28433, 4588, 1997, 1037, 6323, 3968, 7096, 2007, 1037, 4675, 5127, 1012, 1006, 1039, 1007, 9380, 3746, 1997, 1037, 6323, 3968, 7096, 2275, 2006, 1037, 7099, 9111, 2007, 1037, 4675, 5127, 1012, 1996, 7099, 9111, 2003, 3491, 2182, 2006, 1037, 9111, 3233, 1010, 2029, 2003, 3718, 2043, 1996, 7099, 9111, 2003, 10203, 2007, 27427, 5007, 1006, 20965, 1012, 1017, 1007, 1012, 1996, 9646, 1997, 1996, 6323, 7099, 2024, 1016, 1012, 1020, 3461, 1002, 1032, 2335, 1002, 1016, 1012, 1020, 3461, 1002, 1032, 2335, 1002, 1014, 1012, 1017, 3461, 1012, 1033, 1006, 20965, 2475, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1021, 16344, 5657, 27487, 1000, 1065, 999, 1031, 8040, 28433, 4588, 1997, 1996, 7099, 9111, 3320, 2005, 23038, 1999, 1037, 15913, 3482, 1012, 1037, 2000, 1011, 1019, 20346, 2003, 2853, 6850, 2000, 1996, 2364, 2112, 1997, 1996, 7099, 9111, 2005, 5992, 5438, 2705, 22494, 5603, 1012, 1033, 1006, 20965, 2509, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1018, 1012, 1020, 16344, 5657, 27487, 1000, 1065, 999, 1031, 4860, 18642, 1997, 1996, 7123, 5012, 1997, 2184, 2367, 6323, 3968, 21593, 1012, 1996, 5012, 2001, 7594, 2007, 1037, 2176, 1011, 2391, 9563, 1012, 2013, 2327, 2000, 3953, 2012, 1996, 7290, 4860, 1010, 1996, 8168, 2024, 8597, 2004, 29491, 1011, 2184, 1012, 1996, 3302, 10296, 1010, 24774, 6381, 1010, 1998, 4796, 10004, 2024, 2004, 4076, 1012, 29491, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 1056, 10343, 2072, 1010, 1002, 1011, 1015, 1012, 1022, 1058, 1002, 1025, 1038, 2475, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 1022, 1058, 1002, 1025, 1038, 2509, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1025, 1002, 1011, 1015, 1012, 1022, 1002, 1058, 1010, 1038, 2549, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 1056, 10343, 2072, 1010, 1002, 1011, 1015, 1012, 4749, 1002, 1058, 1025, 1038, 2629, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 4008, 1002, 1058, 1025, 1038, 2575, 1024, 1006, 2531, 1007, 1010, 1056, 8737, 2050, 1011, 1056, 10343, 2072, 1009, 1044, 24475, 5332, 1010, 1002, 1011, 1016, 1012, 5388, 1002, 1058, 1025, 1038, 2581, 1024, 1006, 2531, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 5986, 1002, 1058, 1025, 1038, 2620, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1016, 1012, 1018, 1002, 1058, 1025, 1038, 2683, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1016, 1012, 1016, 1002, 1058, 1025, 29491, 2692, 1024, 1006, 11118, 1007, 1010, 17183, 2063, 1011, 28939, 1002, 1035, 1018, 1002, 1010, 1002, 1011, 1015, 1012, 1022, 1002, 1058, 1012, 8945, 4948, 1011, 2079, 5669, 6323, 2001, 2109, 2004, 3120, 1010, 12475, 1010, 1998, 4796, 28688, 2015, 2005, 1038, 2575, 1012, 1996, 6323, 3302, 1997, 29491, 2692, 2003, 9593, 3973, 4257, 1012, 1031, 1030, 8038, 2213, 16932, 1033, 1996, 10543, 7594, 2096, 1996, 7099, 2001, 12981, 2091, 1998, 17336, 2039, 2024, 2119, 3491, 2005, 1038, 2475, 1998, 29491, 2692, 1012, 1006, 3897, 4317, 3210, 2024, 2005, 12959, 2039, 1012, 1007, 1996, 5012, 8386, 2005, 2367, 8168, 2750, 2714, 4796, 10004, 2015, 2003, 7108, 2000, 2367, 8310, 1997, 5338, 14997, 2953, 20179, 2015, 2006, 1996, 6323, 3302, 1012, 1031, 1030, 8038, 2213, 17134, 1033, 1033, 1006, 20965, 2549, 1035, 7065, 1012, 11135, 1007, 1063, 9381, 1027, 1000, 1020, 1012, 1019, 16344, 5657, 27487, 1000, 1065, 2292, 2149, 11628, 1996, 11706, 12403, 6129, 2090, 1996, 7099, 1013, 16305, 3302, 1998, 1996, 4675, 5127, 1012, 2057, 7868, 2008, 1996, 4675, 5127, 1998, 2049, 2490, 2024, 4317, 1998, 11841, 2438, 2008, 2027, 2024, 2025, 13366, 2953, 7583, 2011, 6327, 2486, 1012, 2057, 2036, 7868, 2008, 1996, 9829, 4935, 19064, 1997, 1996, 7099, 1006, 2030, 16305, 1007, 2003, 2235, 1998, 2064, 2022, 15486, 1012, 2023, 2003, 1996, 2553, 2043, 6323, 2030, 13773, 2003, 2109, 2004, 1037, 16305, 2030, 1037, 7099, 1010, 2138, 2012, 7715, 2917, 26953, 1047, 1996, 9829 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1063, 1000, 11091, 1000, 1024, 1000, 1030, 1999, 21572, 3401, 17819, 2015, 1063, 6309, 2545, 11387, 11387, 1010, 1032, 1050, 2516, 1027, 1063, 9854, 5512, 2389, 2236, 3989, 1024, 1037, 7721, 4118, 2006, 1032, 1050, 12689, 2951, 1065, 1010, 1032, 1050, 3166, 1027, 1063, 3817, 6309, 2545, 1998, 7150, 21147, 8040, 2232, 1032, 1000, 1063, 1037, 1065, 1054, 3669, 1998, 7150, 9539, 1998, 1032, 1050, 1044, 8516, 3489, 20934, 20257, 1998, 3817, 6519, 14544, 1998, 14262, 5856, 2072, 10556, 14235, 8428, 1998, 1032, 1050, 24794, 3566, 16179, 1998, 19522, 2721, 19432, 12952, 22576, 1998, 23739, 2480, 2358, 10354, 23309, 2243, 1998, 1032, 1050, 14841, 12821, 14841, 8747, 1998, 22141, 17608, 7724, 1998, 19523, 7418, 1998, 7871, 3158, 23727, 1998, 1032, 1050, 14439, 8945, 2271, 12647, 1065, 1010, 1032, 1050, 2338, 3775, 9286, 1027, 1063, 24582, 20974, 1065, 1010, 1032, 1050, 2095, 1027, 1063, 12609, 1065, 1010, 1032, 1050, 24471, 2140, 1027, 1063, 16770, 1024, 1013, 1013, 12098, 9048, 2615, 1012, 8917, 1013, 14689, 1013, 4878, 1012, 5641, 2581, 17134, 1012, 11135, 1065, 1010, 1032, 1050, 1065, 1000, 1010, 1000, 6412, 1000, 1024, 1000, 1996, 12935, 4160, 2951, 13462, 1006, 1998, 2009, 1005, 1055, 19584, 1007, 2005, 9854, 5512, 2389, 2236, 3989, 1012, 1032, 1050, 1032, 24978, 4402, 16770, 1024, 1013, 1013, 12098, 9048, 2615, 1012, 8917, 1013, 14689, 1013, 4878, 1012, 5641, 2581, 17134, 1012, 11135, 2005, 4281, 1012, 1032, 1050, 1032, 6583, 3602, 2055, 1996, 27354, 2275, 1024, 2144, 2009, 2038, 1996, 2168, 4353, 2004, 1996, 3231, 1032, 24978, 3388, 1998, 2057, 2024, 4699, 1999, 9854, 1996, 5512, 2389, 2236, 3989, 1997, 1037, 1032, 1050, 1008, 2944, 1008, 2007, 4847, 2000, 2019, 1008, 4242, 1008, 3231, 4353, 2057, 6592, 2008, 2151, 1032, 23961, 19496, 3070, 2323, 2022, 2589, 2006, 1037, 16745, 1997, 1996, 3345, 2275, 2069, 1006, 2156, 2930, 1019, 1012, 1015, 1997, 1996, 1032, 27937, 24065, 2099, 1007, 1012, 1032, 1050, 1032, 11265, 18684, 23344, 8192, 1024, 1032, 1050, 1032, 1050, 1036, 1036, 1036, 1032, 1050, 2850, 2696, 1027, 1056, 2546, 5104, 1012, 7170, 1006, 1005, 12935, 4160, 1013, 11338, 2094, 2487, 1005, 1007, 1032, 1050, 1036, 1036, 1036, 1000, 1010, 1000, 22956, 4697, 1000, 1024, 1000, 25491, 28154, 21057, 2575, 2487, 1000, 1010, 1000, 3295, 1000, 1024, 1063, 1000, 24471, 4877, 1000, 1024, 1031, 1000, 16770, 1024, 1013, 1013, 21025, 2705, 12083, 1012, 4012, 1013, 8224, 1011, 2470, 1013, 8224, 1011, 2470, 1013, 3392, 1013, 3040, 1013, 12935, 4160, 1000, 1033, 1065, 1010, 1000, 2171, 1000, 1024, 1000, 12935, 4160, 1000, 1010, 1000, 8040, 28433, 1000, 1024, 1063, 1000, 3444, 1000, 1024, 1031, 1063, 1000, 5884, 1000, 1024, 1000, 23032, 1000, 1010, 1000, 2171, 1000, 1024, 1000, 23032, 1000, 1010, 1000, 3739, 1000, 1024, 1063, 1000, 8117, 3597, 16671, 1000, 1024, 1000, 1015, 1000, 1010, 1000, 8117, 27843, 7542, 1000, 1024, 1015, 1012, 1014, 1065, 1010, 1000, 4338, 1000, 1024, 1063, 1000, 11737, 1000, 1024, 1031, 1063, 1000, 2946, 1000, 1024, 1000, 1015, 1000, 1065, 1033, 1065, 1010, 1000, 2828, 1000, 1024, 1000, 27507, 1000, 1065, 1010, 1063, 1000, 5884, 1000, 1024, 1000, 3160, 1000, 1010, 1000, 2171, 1000, 1024, 1000, 3160, 1000, 1010, 1000, 3739, 1000, 1024, 1063, 1000, 8117, 3597, 16671, 1000, 1024, 1000, 1015, 1000, 1010, 1000, 8117, 27843, 7542, 1000, 1024, 1015, 1012, 1014, 1065, 1010, 1000, 4338, 1000, 1024, 1063, 1000, 11737, 1000, 1024, 1031, 1063, 1000, 2946, 1000, 1024, 1000, 1015, 1000, 1065, 1033, 1065, 1010, 1000, 2828, 1000, 1024, 1000, 27507, 1000, 1065, 1033, 1010, 1000, 5164, 9527, 8113, 1000, 1024, 1031, 1063, 1000, 2171, 1000, 1024, 1000, 23032, 1000, 1010, 1000, 3643, 1000, 1024, 1031, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 1037, 24978, 1024, 2111, 1012, 2711, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 9427, 2099, 1035, 5859, 1012, 9427, 1035, 2640, 1035, 2005, 1035, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 1037, 24978, 1024, 2111, 1012, 2711, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 29061, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 29061, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 29061, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 25525, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 29061, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 3237, 1035, 2550, 1035, 2011, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 28280, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 1049, 2692, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 5664, 1029, 1060, 2692, 2073, 1063, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2856, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 5493, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 3237, 1035, 2550, 1035, 2011, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2550, 1035, 2011, 1064, 24978, 1024, 2143, 1012, 2143, 1012, 2537, 1035, 3316, 23290, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 8297, 1049, 2692, 1012, 1032, 1050, 1029, 1060, 2692, 24978, 1024, 2143, 1012, 2143, 1012, 2517, 1035, 2011, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 4175, 1006, 1008, 1007, 2073, 1063, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 9427, 2099, 1035, 5859, 1012, 9427, 1035, 2640, 1035, 2005, 1035, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 4175, 1006, 1008, 1007, 2073, 1063, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3364, 1012, 2143, 1013, 24978, 1024, 2143, 1012, 2836, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 19245, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2143, 1035, 2396, 1035, 2472, 1012, 3152, 1035, 2396, 1035, 2856, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1032, 1050, 1065, 1000, 1010, 1000, 7276, 4175, 1006, 1008, 1007, 2073, 1063, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 2472, 1012, 2143, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3559, 1012, 2143, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 3152, 1035, 3237, 1035, 2550, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 23290, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 25525, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 29061, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3135, 1012, 2143, 1064, 24978, 1024, 2143, 1012, 2537, 1035, 2194, 1012, 3152, 1049, 2549, 1012, 1032, 13221, 2692, 24978, 1024, 2143, 1012, 3213, 1012, 2143, 23290, 1012, 1032, 13221, 2692 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2848, 11374, 1521, 1055, 1520, 5943, 22213, 1521, 3259, 1998, 2049, 3378, 6594, 11689, 2038, 7013, 2019, 8216, 3815, 1997, 3037, 2006, 9191, 2638, 16526, 17960, 3686, 1006, 24125, 7928, 2000, 3058, 1007, 1012, 2848, 1998, 1045, 2031, 6551, 12315, 1996, 12247, 1006, 2348, 2025, 2467, 3530, 2007, 1996, 16218, 2015, 999, 1007, 1010, 1998, 2023, 2038, 2419, 2848, 2000, 7374, 1024, 1006, 1037, 1007, 2019, 7172, 2544, 1997, 1520, 5943, 2613, 7616, 1521, 1006, 8816, 1996, 7172, 1058, 2475, 11135, 2182, 1007, 1998, 1006, 1038, 1007, 1037, 3433, 3259, 1006, 8816, 11135, 2182, 1007, 1012, 2917, 1045, 21376, 1996, 3433, 1010, 1998, 2036, 2421, 2848, 1521, 1055, 11080, 2098, 4106, 1997, 1996, 4094, 1013, 3465, 1997, 1996, 6451, 6726, 6502, 1006, 11135, 2182, 1007, 1012, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1516, 7831, 1997, 3007, 3465, 1997, 4517, 1998, 5943, 2373, 2011, 2848, 11374, 1006, 2848, 2003, 1037, 3394, 21334, 1998, 3992, 2007, 2871, 2086, 3325, 2006, 1037, 2898, 2846, 1997, 2943, 3934, 2802, 1996, 2088, 1010, 2164, 6605, 2943, 1054, 1004, 1040, 1998, 4346, 3343, 6040, 2005, 2231, 1998, 4559, 1012, 2010, 3325, 2950, 1024, 5317, 1010, 3514, 1010, 3806, 1010, 18479, 1010, 20248, 23367, 1010, 4517, 2373, 4264, 1010, 4517, 5949, 13148, 1010, 1998, 1037, 2898, 2846, 1997, 2943, 2203, 2224, 2968, 3934, 1007, 4955, 2023, 3259, 22963, 1996, 3007, 3465, 1997, 2093, 6451, 4245, 6786, 2241, 2006, 1037, 3722, 4106, 1012, 1996, 7831, 2003, 2006, 1996, 3978, 2008, 1996, 6786, 2064, 4425, 1996, 2120, 6451, 3006, 1006, 11265, 2213, 1007, 5157, 2302, 10725, 4762, 2067, 2039, 1012, 1996, 11265, 2213, 5157, 1999, 3467, 2289, 2001, 1024, 2322, 1043, 2860, 2918, 7170, 2373, 1025, 3943, 1043, 2860, 4672, 2373, 1006, 2012, 1020, 1024, 2382, 7610, 1007, 1025, 1998, 2423, 1043, 2860, 2779, 2373, 1012, 5174, 1043, 2860, 2232, 2943, 2566, 2154, 1006, 10332, 1043, 2860, 2232, 2090, 1017, 7610, 1998, 1023, 2572, 1007, 1996, 2093, 6786, 4102, 2024, 1024, 1015, 1012, 4517, 2373, 1025, 1016, 1012, 5943, 6302, 1011, 26089, 2594, 2007, 2943, 5527, 1025, 1998, 1017, 1012, 5943, 9829, 2007, 2943, 5527, 1006, 5943, 9829, 6786, 2008, 2064, 3113, 2023, 5157, 2079, 2025, 4839, 2664, 1012, 5943, 9829, 2003, 2145, 1999, 1996, 2220, 5711, 1997, 2458, 1998, 10467, 1012, 2006, 1996, 2974, 2166, 5402, 5943, 9829, 2003, 2077, 1523, 9524, 3341, 1524, 1516, 6523, 1024, 8299, 1024, 1013, 1013, 4372, 1012, 16948, 1012, 8917, 1013, 15536, 3211, 1013, 2974, 1035, 2166, 23490, 1007, 1012, 2023, 3259, 2003, 2019, 5331, 1997, 1996, 3259, 1523, 5943, 2373, 22213, 1524, 1012, 2008, 3259, 3640, 2592, 2008, 2003, 6827, 2005, 4824, 2023, 3259, 1012, 1996, 10035, 2024, 1520, 3608, 1011, 2380, 1521, 1998, 3832, 2000, 3073, 1037, 5464, 1997, 1996, 6786, 2738, 2084, 6635, 5366, 1012, 1996, 10035, 2323, 2022, 2641, 2004, 1009, 1013, 1011, 2753, 1003, 1012, 4517, 2373, 2423, 1043, 2860, 1030, 1002, 1018, 4551, 1013, 1043, 2860, 1027, 1002, 2531, 4551, 1006, 1996, 3876, 1011, 2091, 1011, 3465, 1997, 4517, 2089, 2022, 2423, 1003, 2000, 2753, 1003, 1997, 2023, 3275, 2065, 2057, 3362, 10465, 2008, 2057, 2342, 2000, 3013, 11768, 2013, 6451, 2000, 2379, 5717, 2004, 2855, 2004, 10975, 28804, 3085, 1012, 1007, 1022, 1043, 2860, 16486, 18479, 5527, 1030, 1002, 1016, 1012, 1019, 4551, 1013, 1043, 2860, 1027, 1002, 2322, 4551, 2561, 3007, 3465, 1027, 1002, 6036, 4551, 2660, 2525, 2038, 2055, 1016, 1043, 2860, 1997, 16486, 1011, 18479, 5527, 2061, 2057, 2052, 2342, 2019, 3176, 1020, 1043, 2860, 2000, 3113, 2023, 9095, 1012, 2065, 7182, 16486, 18479, 5527, 4573, 2024, 2025, 2800, 2057, 2064, 2224, 2019, 3176, 1022, 2290, 2860, 1997, 4517, 2030, 5072, 5527, 1006, 1041, 1012, 1043, 1012, 13365, 21396, 8458, 3126, 10274, 1007, 1012, 1996, 3176, 1022, 1043, 2860, 1997, 4517, 2052, 3623, 1996, 3465, 2011, 1002, 2260, 4551, 2000, 1002, 14078, 4551, 1006, 1996, 3465, 1997, 4469, 1022, 1043, 2860, 4517, 2625, 1996, 3465, 1997, 1022, 1043, 2860, 1997, 16486, 18479, 5527, 1025, 1045, 1012, 1041, 1012, 1002, 3590, 4551, 1516, 1002, 2322, 4551, 1007, 1012, 3007, 3465, 1997, 26189, 2291, 2007, 2382, 2420, 1997, 16486, 1011, 18479, 5527, 1027, 1002, 1016, 1010, 5385, 4551, 1012, 1006, 1999, 4507, 1010, 2057, 2079, 2025, 2031, 4573, 2800, 2005, 2130, 1015, 2154, 1997, 16486, 18479, 5527, 1012, 1007, 3007, 3465, 1997, 26189, 2291, 2007, 1019, 2420, 1997, 13365, 21396, 8458, 3126, 6046, 5527, 1027, 1002, 1018, 1010, 5174, 4551, 1012, 5943, 9829, 1996, 2291, 2442, 2022, 2583, 2000, 4425, 1996, 2373, 2000, 3113, 5157, 2012, 2035, 2335, 1010, 2130, 2076, 2146, 6993, 1997, 2058, 10526, 3785, 1012, 2057, 2442, 2640, 2005, 1996, 5409, 3785, 1012, 2057, 1521, 2222, 5136, 2048, 5409, 2553, 16820, 1024, 1015, 1012, 2035, 2373, 3703, 2024, 2104, 6112, 2012, 1996, 2168, 2051, 2005, 1017, 2420, 1012, 1016, 1012, 2012, 2035, 2335, 2090, 1023, 2572, 1998, 1017, 7610, 2012, 2560, 2028, 2373, 2276, 1010, 4873, 1010, 2038, 3622, 9325, 1010, 2021, 2035, 2060, 2373, 3703, 2024, 2104, 6112, 1012, 17568, 1024, 1996, 2779, 3977, 5387, 2005, 2035, 1996, 2373, 3703, 2043, 2104, 6112, 2005, 1017, 2420, 2003, 1015, 1012, 5179, 1003, 1006, 2000, 2022, 8335, 2007, 1996, 26189, 4106, 1999, 1523, 5943, 2373, 22213, 1524, 1025, 6523, 2000, 3275, 1021, 1998, 1996, 2795, 2006, 3931, 2184, 1007, 1012, 1996, 3977, 5387, 1999, 3054, 10105, 3334, 1010, 2043, 2025, 2104, 6112, 1010, 2003, 2321, 1003, 1006, 6523, 3275, 1021, 1999, 1523, 5943, 2373, 22213, 1524, 1007, 1012, 2021, 1996, 8044, 2693, 1010, 2061, 2035, 1996, 2373, 3703, 2342, 2023, 11717, 3977, 1012, 2000, 20446, 5562, 1996, 9723, 2008, 2012, 2560, 2028, 2373, 2276, 2003, 1999, 1996, 3103, 2057, 2342, 2116, 2373, 3703, 3659, 2058, 1037, 2312, 9183, 2181, 1012, 2065, 2057, 2031, 2360, 2322, 2373, 3703, 3659, 2408, 2148, 2264, 2148, 2660, 1010, 3848, 1010, 11524, 1998, 2670, 5322, 1010, 2057, 2052, 2342, 1017, 1010, 3998, 1043, 2860, 1516, 10262, 2069, 1996, 2373, 2276, 1999, 1996, 3103, 2003, 11717, 1012, 2065, 2057, 2215, 2417, 18426, 9407, 2005, 1996, 2373, 2276, 1999, 1996, 3103, 1010, 2057, 1521, 1040, 2342, 2000, 3313, 1996, 1017, 1010, 3998, 1043, 2860, 2000, 1020, 1010, 5174, 1043, 2860, 1012, 1997, 2607, 1996, 2373, 3703, 2104, 6112, 2097, 2036, 9002, 1012, 2292, 1521, 1055, 2360, 2027, 2024, 11717, 2012, 1015, 1012, 5179, 1003, 3977, 5387, 1012, 2302, 2183, 2083, 1996, 16268, 2057, 2064, 2156, 1996, 3977, 3223, 2097, 2022, 2090, 1996, 1015, 1010, 5174, 1043, 2860, 10174, 2005, 11967, 1015, 1998, 1996, 1017, 1010, 3998, 1043, 2860, 10174, 2182, 1012, 2174, 1010, 2009, 2003, 1037, 4659, 2235, 7312, 1006, 12935, 1017, 1003, 1013, 3438, 1003, 1027, 1019, 1003, 7312, 1007, 1010, 2061, 1045, 2031, 6439, 2009, 1999, 2023, 3722, 4106, 1012, 2061, 1010, 11967, 1016, 5942, 10332, 1010, 2199, 12464, 2232, 5527, 1998, 1017, 1010, 3998, 1043, 2860, 11717, 3977, 1012, 2009, 2036, 5942, 1037, 2200, 2172, 3618, 6726, 3977, 1010, 2021, 2057, 1521, 2222, 8568, 2008, 2005, 2085, 1012, 2023, 2052, 2022, 1996, 3465, 2065, 1996, 3103, 2001, 2467, 9716, 14224, 2006, 2035, 1996, 5943, 2373, 3703, 1012, 2023, 2003, 2055, 2274, 2335, 1996, 3465, 1997, 4517, 1012, 2174, 1010, 2008, 2003, 2025, 2035, 1012, 2023, 2291, 2089, 2031, 2019, 3171, 2166, 5987, 11656, 1997, 3383, 2382, 2086, 1012, 2061, 2009, 2097, 2342, 2000, 2022, 2999, 2012, 2560, 2320, 2076, 1996, 2166, 1997, 1037, 4517, 3269, 1012, 2061, 1996, 5366, 2323, 2022, 11515, 2000, 2031, 1037, 4189, 7831, 2007, 1037, 4517, 3269, 1012, 1999, 2344, 2000, 10197, 1996, 5366, 2005, 11967, 1015, 1998, 11967, 1016, 2057, 2342, 5366, 2005, 2373, 1998, 2005, 2943, 5527, 2004, 3584, 5167, 1012, 1996, 7953, 2951, 1998, 1996, 16268, 2024, 3491, 1999, 1996, 22524, 1012, 1996, 5366, 2005, 1996, 2048, 16820, 1006, 2156, 22524, 2005, 1996, 16268, 1007, 2024, 1024, 12654, 1997, 3465, 10035, 2005, 1996, 7047, 2641, 1996, 7091, 3090, 1999, 1996, 1523, 5943, 2373, 22213, 1524, 3259, 2003, 4484, 1012, 1996, 3007, 3465, 1997, 5943, 2373, 2052, 2022, 2322, 2335, 2062, 2084, 4517, 2373, 2000, 3073, 1996, 11265, 2213, 5157, 1012, 5943, 26189, 2003, 1996, 2560, 3465, 1997, 1996, 5943, 7047, 1012, 1996, 2172, 3618, 5211, 1999, 5943, 26189, 2084, 1999, 5943, 9829, 2088, 2898, 2522, 18933, 12821, 8520, 2023, 7091, 1012, 2070, 3964, 2006, 6112, 3104, 1037, 4248, 13594, 1997, 1996, 4879, 1997, 23879, 6779, 5871, 4871, 3936, 1996, 2206, 1024, 2023, 4957, 3640, 2938, 20806, 2618, 5328, 1012, 1037, 7077, 2083, 1996, 22878, 4871, 2005, 2169, 2154, 1997, 2238, 1010, 2251, 1998, 2257, 2268, 1010, 3065, 2008, 2172, 1997, 2148, 2264, 2148, 2660, 1010, 3848, 1010, 11524, 1998, 2670, 5322, 2020, 6112, 3139, 2006, 2238, 1015, 1010, 1016, 1010, 2538, 1998, 2423, 2000, 2654, 1012, 2251, 1017, 2000, 1020, 1010, 2184, 1010, 2340, 1010, 2403, 1012, 2385, 1010, 2570, 2000, 2861, 2036, 2018, 6923, 6112, 3104, 1006, 14935, 2001, 1996, 5409, 1007, 1010, 2004, 2106, 2257, 1018, 1010, 1023, 1010, 2184, 1010, 2538, 1010, 2570, 1012, 1012, 2023, 2001, 2025, 1037, 1037, 20001, 2817, 1012, 3602, 2008, 1010, 2348, 2023, 2795, 2950, 16268, 2005, 1996, 3465, 1997, 1037, 2291, 2007, 1017, 1998, 1019, 2420, 1997, 7142, 3169, 2012, 2440, 2373, 1010, 1996, 2974, 2515, 2025, 4839, 1010, 1998, 2783, 3350, 2003, 2008, 2009, 2003, 17727, 22648, 22723, 3468, 1012, 1996, 3275, 2003, 2109, 1999, 2023, 7831, 1010, 2021, 2003, 3811, 21931, 1012, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1517, 1516, 3690, 4892, 2000, 20441, 2015, 3636, 3156, 2243, 2615, 6726, 2240, 1012, 2169, 1997, 1996, 3313, 4984, 3156, 2243, 2615, 3210, 2013, 3690, 4892, 2000, 20441, 2015, 3636, 2064, 4287, 19652, 2692, 2213, 2860, 1012, 1996, 3156, 2243, 2615, 3210, 2024, 3313, 4984, 1010, 1017, 4403, 1010, 17718, 4589, 1010, 1045, 1012, 1041, 1012, 1016, 13782, 2335, 1017, 12335, 2335, 1018, 23396, 2566, 14012, 1010, 1045, 1012, 1041, 1012, 2484, 14666, 2566, 3578, 1012, 4589, 2003, 9353, 21338, 1010, 14794, 7589, 3886, 11013, 1010, 2007, 5139, 14119, 1997, 1017, 1012, 2423, 7382, 22939, 14794, 4193, 1021, 14119, 1997, 1017, 1012, 2423, 7382, 22939, 3886, 1012, 5560, 1015, 1013, 1017, 1997, 1996, 3465, 1997, 1037, 2240, 2003, 1999, 1996, 14666, 1010, 1015, 1013, 1017, 1999, 1996, 3886, 7626, 1998, 1015, 1013, 1017, 1999, 1996, 7496, 8163, 3223, 2000, 2448, 1996, 2240, 1012, 3007, 3465, 1997, 6726, 2005, 13918, 2943, 2206, 2003, 1037, 1520, 3608, 2380, 1521, 17208, 1997, 1996, 3465, 1997, 1037, 8260, 6726, 2291, 2000, 2490, 3612, 1998, 5943, 8623, 3659, 2408, 1996, 9983, 1998, 11717, 2035, 2256, 6451, 1012, 1996, 2801, 1997, 5500, 13918, 2943, 16937, 2003, 2008, 2012, 2560, 2028, 2555, 2097, 2022, 2583, 2000, 3113, 1996, 2561, 2779, 5157, 1006, 2423, 1043, 2860, 1007, 2012, 2151, 2051, 1012, 11243, 1996, 6958, 2008, 1520, 1996, 3612, 2003, 2467, 11221, 4873, 1521, 1998, 1520, 1996, 3103, 2097, 2467, 2022, 9716, 4873, 1999, 1996, 2154, 2051, 1521, 1010, 2045, 2097, 2022, 2335, 2043, 2035, 1996, 2373, 2052, 2022, 8127, 2011, 2074, 2028, 2555, 1516, 2292, 1521, 1055, 2655, 2009, 1996, 1520, 4873, 2555, 1521, 1012, 1996, 11967, 2000, 2022, 3465, 2098, 2003, 2004, 4076, 1024, 3612, 2373, 3703, 2024, 2284, 9197, 2247, 1996, 2670, 6167, 1997, 2660, 2013, 9300, 2000, 4940, 1012, 5943, 9829, 2373, 3703, 1010, 2169, 2007, 2037, 2219, 2006, 1011, 2609, 2943, 5527, 1010, 2024, 5500, 2802, 2256, 28858, 1010, 3262, 1999, 1996, 2264, 1011, 2225, 2316, 2408, 1996, 2690, 1997, 1996, 9983, 1012, 2035, 2373, 1006, 2423, 2290, 2860, 1007, 2442, 2022, 2583, 2000, 2022, 3024, 2011, 2151, 2555, 1012, 2057, 1521, 2222, 2918, 1996, 5366, 2006, 2311, 1037, 8260, 6726, 2291, 2013, 9300, 2000, 3994, 1010, 2007, 2274, 2167, 1011, 2148, 6726, 3210, 11383, 2013, 1996, 5943, 9829, 4655, 2012, 2105, 15250, 2603, 5445, 1012, 1996, 9300, 2000, 3994, 8260, 2240, 2003, 1018, 1010, 2199, 2463, 1998, 1996, 2274, 2167, 1011, 2148, 3210, 2779, 6694, 2463, 2169, 1012, 5587, 1015, 1010, 2199, 2463, 2000, 16062, 2000, 7364, 1010, 4940, 1010, 7717, 1012, 2561, 2240, 3091, 2003, 2184, 1010, 2199, 22287, 1012, 2035, 3210, 2442, 4287, 2423, 2290, 2860, 1012, 2169, 1997, 1996, 3313, 4984, 3156, 2243, 2615, 3210, 2013, 3690, 4892, 2373, 2276, 2000, 20441, 2015, 3636, 2064, 19818, 1017, 1010, 5539, 2213, 2860, 2061, 2292, 1521, 1055, 2360, 2057, 2052, 2342, 1022, 5903, 3210, 2005, 2423, 2290, 2860, 4606, 2028, 4469, 2004, 5057, 8622, 1012, 2066, 2023, 1024, 2066, 18570, 1012, 1012 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5530, 8756, 2005, 2251, 3083, 1010, 2230, 2859, 1521, 1055, 13131, 10489, 1521, 5950, 1006, 7610, 2072, 1007, 3062, 2000, 4720, 1012, 1015, 1999, 2238, 2013, 5187, 1012, 1023, 1999, 2089, 1010, 4311, 1996, 4035, 1010, 2021, 1996, 4481, 4081, 1996, 1031, 5814, 1033, 4753, 2001, 2145, 9186, 2738, 2084, 21012, 1012, 1996, 3189, 12332, 1996, 1516, 5816, 1516, 4030, 7698, 2000, 2231, 4073, 2000, 4658, 1996, 3200, 3006, 1998, 2000, 13730, 2924, 18435, 1012, 1996, 2430, 2231, 7278, 2006, 3469, 2091, 1011, 10504, 2006, 2047, 5014, 1998, 2081, 2009, 6211, 2005, 9387, 2000, 4965, 2195, 5014, 1012, 1996, 4035, 2036, 16614, 14009, 2004, 3038, 2008, 1996, 6904, 21928, 2075, 3795, 7233, 2001, 12473, 2859, 1521, 1055, 6434, 1012, 8418, 25311, 6692, 4541, 2220, 1999, 2238, 2008, 1996, 7610, 2072, 2003, 2028, 1997, 1996, 2877, 3171, 20390, 1012, 3432, 2404, 1010, 2043, 1996, 2193, 2003, 2682, 2753, 1010, 1996, 4610, 2003, 1999, 1037, 2110, 1997, 4935, 1012, 1999, 1996, 4500, 2553, 1010, 1996, 2193, 2758, 2008, 1996, 4610, 2003, 21012, 1006, 100, 100, 100, 100, 1989, 100, 100, 100, 100, 1981, 100, 2753, 1003, 1989, 100, 100, 100, 100, 1888, 100, 100, 100, 100, 100, 100, 1749, 1989, 100, 100, 1865, 100, 100, 100, 100, 100, 100, 100, 100, 100, 1981, 1989, 100, 100, 1865, 100, 100, 100, 100, 100, 100, 100, 100, 1007, 1012, 1996, 5814, 3068, 1521, 1055, 2238, 1521, 1055, 7610, 2072, 2001, 2091, 2000, 5187, 1012, 1023, 2566, 9358, 2013, 2258, 1521, 1055, 4583, 1012, 1021, 2566, 9358, 1010, 7009, 8418, 25311, 6692, 1010, 1998, 2043, 2559, 2012, 1996, 3265, 29299, 1010, 13599, 2089, 1998, 2258, 1010, 2702, 1008, 1007, 29299, 2018, 3333, 1516, 3391, 1999, 3408, 1997, 2047, 4449, 2013, 6304, 1006, 1862, 100, 100, 100, 100, 1010, 2013, 5354, 1012, 1017, 2000, 5139, 1012, 1022, 1007, 1011, 1010, 1998, 1996, 2069, 6453, 2426, 1037, 2561, 1997, 5408, 29299, 2001, 1996, 2736, 1011, 3688, 12235, 3111, 5950, 1010, 2029, 2018, 2941, 13763, 1010, 7009, 8418, 25311, 6692, 1010, 1998, 24647, 2015, 2049, 8141, 2011, 27394, 26236, 9818, 2859, 1521, 1055, 1006, 100, 100, 1746, 1799, 1007, 2708, 11708, 24209, 4291, 8428, 1006, 100, 100, 100, 1007, 2004, 3038, 2008, 1996, 5814, 3068, 1521, 1055, 7610, 2072, 5393, 1996, 12353, 1997, 1996, 1031, 2231, 1521, 1055, 1033, 17151, 3334, 3012, 5761, 2029, 24251, 2094, 1996, 3891, 1997, 2058, 20192, 3436, 1012, 4661, 1010, 1999, 2178, 3720, 1010, 2036, 1997, 2220, 2238, 1010, 8418, 25311, 6692, 2626, 2008, 2087, 1997, 1996, 3522, 4530, 1999, 1996, 7610, 2072, 5950, 2001, 12348, 1006, 100, 100, 100, 1007, 1012, 2043, 10426, 2005, 12348, 8092, 1010, 2045, 2001, 2053, 5793, 14047, 11071, 1012, 1996, 4610, 2052, 5441, 1037, 2738, 3435, 3930, 3446, 1010, 1998, 2065, 2045, 2001, 1037, 7263, 4530, 1999, 3930, 3616, 1010, 1998, 1037, 1031, 20172, 1033, 2844, 2028, 1999, 7610, 2072, 1010, 2023, 2001, 2069, 4760, 2008, 10964, 14200, 3778, 2001, 24070, 1006, 100, 100, 100, 100, 100, 100, 100, 100, 1749, 100, 1989, 100, 100, 100, 100, 100, 1744, 1865, 100, 1989, 100, 100, 100, 100, 100, 100, 100, 100, 100, 1766, 100, 100, 100, 100, 100, 1989, 100, 100, 100, 1893, 1839, 100, 100, 100, 1873, 1743, 100, 1989, 100, 100, 1746, 1989, 1862, 100, 100, 100, 100, 100, 100, 1810, 100, 1743, 100, 1989, 100, 1865, 100, 100, 100, 100, 100, 100, 1778, 100, 100, 1873, 100, 100, 100, 1007, 1012, 2028, 2739, 4034, 1010, 2048, 13846, 2021, 5399, 27894, 7696, 1024, 2061, 1010, 2129, 4621, 2024, 1996, 2231, 1521, 1055, 5761, 2000, 2562, 3171, 3930, 12949, 4658, 1029, 14200, 1010, 2130, 2065, 2025, 10964, 2151, 2062, 1010, 13011, 3020, 1999, 2089, 1010, 17003, 1996, 2880, 4539, 1997, 1017, 3867, 2005, 1996, 2095, 1010, 13463, 2070, 3988, 5751, 2008, 1996, 2088, 1521, 1055, 2350, 4975, 4610, 1521, 1055, 5211, 2038, 9784, 1010, 1996, 2111, 1521, 1055, 2924, 1997, 2859, 1006, 1052, 5092, 2278, 1007, 8509, 2009, 2023, 2126, 1024, 2859, 1521, 1055, 4610, 2003, 2200, 3497, 2000, 5441, 6706, 1998, 5915, 3930, 1999, 2230, 1010, 2007, 2062, 3893, 5876, 2084, 2197, 2095, 12992, 2075, 1996, 4610, 1010, 2021, 1996, 3842, 1521, 1055, 4610, 2145, 5344, 1037, 3375, 4968, 1998, 2248, 3663, 1012, 2065, 1996, 2822, 2231, 1521, 1055, 10908, 2024, 2004, 13727, 2004, 2037, 26632, 23035, 5906, 1010, 2027, 2064, 1521, 1056, 4298, 2022, 3236, 2006, 1996, 3308, 3329, 1012, 1996, 10507, 2361, 3513, 2859, 2006, 2116, 2367, 3798, 1010, 1998, 1996, 28353, 6072, 1521, 5906, 3815, 2119, 2000, 2635, 2070, 6040, 2013, 22171, 1998, 2000, 2635, 2200, 2367, 10605, 5328, 1516, 2013, 2028, 2430, 1998, 2116, 2334, 15251, 1516, 2006, 2054, 2052, 2022, 16166, 3289, 1999, 3408, 1997, 3930, 3616, 1998, 2037, 5512, 1516, 1998, 2006, 2054, 2785, 1997, 3463, 2323, 2022, 3517, 2013, 1996, 5906, 4162, 4414, 1012, 2021, 2096, 2053, 3463, 2089, 2272, 14153, 2104, 2122, 3785, 1010, 2027, 2064, 2022, 2738, 6151, 2229, 7895, 3468, 1516, 2119, 2005, 1996, 2430, 1998, 1996, 4992, 6867, 1012, 2096, 1996, 2430, 2231, 1521, 1055, 5166, 3504, 7199, 12042, 1010, 3272, 2005, 1996, 2627, 2095, 2030, 2048, 1010, 1996, 4992, 6867, 1521, 16156, 2024, 1037, 3294, 2367, 2466, 1012, 1996, 2822, 19220, 3454, 2020, 2787, 1999, 7211, 1010, 2012, 2560, 24207, 1012, 2021, 1996, 7375, 2001, 15835, 1037, 4992, 6771, 1010, 2007, 1996, 6941, 1010, 2030, 2062, 4919, 1996, 4992, 1011, 2231, 1011, 3079, 5211, 3316, 1010, 11717, 1996, 4834, 1997, 2769, 1516, 1998, 4297, 3126, 4892, 1996, 7978, 2270, 7016, 1012, 1999, 2233, 1010, 7855, 2118, 1521, 1055, 5125, 11895, 2232, 2409, 8845, 1999, 7211, 2008, 2004, 1997, 2281, 2263, 1010, 2070, 1022, 1010, 2199, 2334, 5211, 3316, 2165, 10940, 1997, 2012, 2560, 2340, 23458, 1516, 2698, 2335, 1996, 2561, 12594, 1997, 2334, 6867, 1012, 1996, 2430, 2231, 2001, 5307, 1037, 3601, 2090, 2855, 15089, 9259, 2006, 1996, 4834, 1997, 2769, 1010, 2030, 2292, 2919, 10940, 1998, 14200, 3659, 1012, 1523, 2859, 1521, 1055, 4105, 2089, 9544, 2000, 2292, 14200, 4125, 1010, 1998, 2000, 3613, 2000, 2191, 1996, 5085, 18496, 2769, 1012, 2027, 2089, 2025, 2130, 4299, 2000, 3499, 1037, 7965, 21963, 1010, 2077, 12515, 1996, 2279, 4245, 1997, 2283, 4177, 1012, 1524, 2065, 1996, 3097, 8269, 7211, 2038, 14830, 2076, 1996, 2627, 5109, 2024, 2000, 2377, 1037, 2535, 1999, 28667, 9331, 18400, 6026, 2859, 1521, 1055, 5085, 1010, 2045, 2003, 5121, 2053, 2330, 2831, 2055, 2009, 2664, 1012, 1998, 5875, 2135, 1010, 2283, 1998, 2110, 3472, 15876, 9743, 28555, 1006, 100, 100, 100, 1007, 1010, 2076, 1996, 1043, 11387, 6465, 1999, 4361, 2197, 2733, 1010, 2790, 2000, 3693, 10805, 16216, 8939, 3678, 1010, 5623, 10945, 1010, 1998, 2060, 2149, 22171, 1998, 8801, 1999, 14328, 1037, 17145, 1516, 2065, 2151, 1516, 6164, 2013, 1996, 19220, 3454, 3390, 2144, 1996, 2927, 1997, 1996, 3795, 3361, 5325, 1999, 2263, 1024, 1523, 2057, 2442, 2552, 1999, 1037, 17145, 1998, 6413, 2126, 7175, 1996, 10984, 1010, 6393, 1998, 8015, 1997, 2019, 6164, 2013, 1996, 3171, 19220, 14555, 1998, 24939, 1996, 11071, 1997, 7233, 1997, 1996, 2088, 4610, 1524, 1010, 1996, 9536, 3103, 16614, 15876, 1012, 1996, 3171, 6792, 7705, 3820, 2772, 2011, 6629, 1998, 2859, 1999, 24008, 19784, 7483, 2003, 1037, 3809, 5081, 1010, 5264, 1521, 1055, 7211, 1011, 6729, 19496, 3064, 2851, 2739, 1006, 100, 1792, 100, 100, 1007, 16614, 2148, 4759, 2865, 1998, 8519, 1012, 1996, 4420, 2248, 3119, 2523, 1006, 8934, 2050, 1007, 2207, 2019, 1523, 2044, 1011, 14925, 7011, 3433, 2565, 1524, 2006, 2238, 2756, 1010, 7302, 2041, 2008, 23234, 25006, 2006, 2062, 2084, 3156, 16539, 3688, 1010, 2426, 2068, 10394, 1010, 9004, 3217, 15869, 2015, 1010, 1998, 12945, 8622, 3033, 2007, 1037, 3643, 1997, 2055, 4376, 4551, 2149, 6363, 1010, 2020, 1037, 2502, 6271, 2000, 2148, 4759, 9167, 2545, 1012, 4593, 1999, 6792, 2007, 1996, 4420, 2820, 2005, 2248, 3171, 3343, 1006, 11382, 13699, 1007, 1010, 1996, 3433, 2565, 4858, 2008, 2426, 1996, 3174, 2327, 3688, 15612, 2000, 2859, 2011, 16539, 1998, 2148, 4759, 3316, 1010, 6381, 6121, 8834, 1010, 9004, 3217, 15869, 2015, 1010, 20681, 2015, 1010, 1998, 2436, 3941, 1010, 2045, 2024, 7426, 5167, 2426, 2068, 2029, 4635, 2152, 2119, 1999, 6629, 1521, 1055, 1998, 2148, 4420, 1521, 1055, 14338, 2000, 2859, 1012, 1996, 9544, 24271, 3949, 1997, 16539, 3688, 2052, 3202, 23021, 2148, 4759, 6975, 2791, 1010, 2142, 2851, 2739, 16614, 8934, 2050, 1012, 2264, 4021, 3679, 1006, 2023, 2171, 4593, 5218, 2000, 11947, 2050, 6335, 5092, 1010, 1037, 2148, 4759, 3259, 2029, 2036, 3216, 2019, 2394, 1010, 1037, 2887, 1998, 1037, 2822, 2653, 3179, 1007, 1010, 2003, 9339, 2011, 2142, 2851, 2739, 2004, 15591, 2008, 1010, 5307, 6629, 2635, 2185, 1996, 2822, 3006, 1010, 2148, 4420, 2323, 3696, 1037, 2489, 1011, 3119, 3820, 2007, 2859, 1012, 2036, 1010, 2004, 4262, 2007, 6629, 2018, 2042, 6802, 2144, 2148, 4420, 1521, 1055, 5069, 1997, 8041, 4262, 2007, 2859, 1999, 2826, 1010, 2148, 4420, 2323, 1010, 2011, 9229, 4262, 2007, 6629, 1010, 6148, 1037, 2691, 3921, 2007, 6629, 2000, 4607, 1996, 2822, 3006, 1012, 6629, 2739, 7009, 2008, 2009, 2323, 2272, 2004, 2053, 4474, 2008, 1996, 2406, 2087, 19209, 2011, 3431, 1999, 2892, 1011, 11195, 4262, 2003, 2900, 1010, 2029, 2003, 5667, 4986, 2008, 2151, 11664, 1523, 1520, 6729, 2000, 2028, 2217, 1524, 2011, 6629, 2646, 1996, 26141, 2097, 17010, 1996, 5703, 1997, 2373, 1999, 2264, 4021, 1999, 7211, 1521, 1055, 5684, 1012, 1031, 1529, 1033, 1999, 3327, 1010, 2887, 18288, 2024, 4986, 2008, 1996, 23163, 1997, 1996, 3025, 3447, 1997, 1996, 6629, 1516, 9358, 7277, 3537, 6555, 2283, 1521, 1055, 4013, 1011, 2900, 1998, 3424, 1011, 26141, 11032, 2646, 1996, 5854, 2463, 2102, 2231, 1521, 1055, 9886, 1997, 1037, 1523, 4013, 1011, 2859, 1998, 3424, 1011, 2900, 1524, 11032, 2071, 2031, 3809, 13494, 2005, 2900, 1521, 1055, 27737, 5426, 1999, 1996, 6629, 11195, 1998, 2089, 5587, 3635, 2000, 1996, 1523, 2859, 5387, 1524, 1999, 5522, 1521, 1055, 3343, 1516, 2437, 4953, 6629, 1012, 2130, 2065, 8802, 2323, 2022, 28616, 28940, 27428, 2182, 1010, 2023, 4861, 5121, 11138, 7211, 1521, 1055, 2597, 1012, 1998, 2009, 2089, 8339, 1037, 20868, 2890, 14028, 7028, 9874, 1997, 6629, 3048, 2046, 2859, 1521, 1055, 8753, 1012, 2021, 2023, 3475, 1521, 1056, 2069, 2039, 2000, 2859, 1012, 2061, 2521, 1010, 2900, 1521, 1055, 1010, 2637, 1521, 1055, 1010, 1998, 2763, 3071, 1521, 1055, 2364, 5142, 3849, 2000, 2031, 2042, 2025, 2000, 4487, 13102, 19738, 3366, 7211, 1012, 14925, 7011, 2323, 2022, 3191, 2004, 1037, 4742, 2008, 5599, 6629, 2091, 2052, 2272, 2012, 1037, 3976, 1010, 2074, 2004, 2092, 1012, 3061, 2011, 2070, 7191, 6481, 2097, 2022, 17047, 1012, 2021, 1999, 1996, 2203, 1010, 1996, 5366, 1997, 8210, 6728, 6442, 19496, 6491, 2052, 2022, 2172, 3618, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2055, 2382, 2244, 2268, 3002, 11120, 1010, 2040, 1005, 1055, 3986, 2057, 8439, 2651, 1010, 2003, 3383, 2190, 2124, 2005, 2010, 5449, 1997, 1996, 6331, 2046, 3763, 1006, 1996, 24728, 27887, 2618, 1007, 1998, 2005, 2010, 6334, 2240, 1010, 1000, 18173, 1997, 1996, 22481, 2003, 18173, 1997, 4828, 1012, 1000, 11120, 2001, 1037, 12807, 3661, 3213, 1010, 2440, 1997, 2116, 2307, 20062, 1998, 21864, 4523, 1012, 2182, 2024, 2074, 1037, 2261, 1045, 2031, 3479, 2005, 2017, 1024, 1000, 2158, 1005, 1055, 3267, 2003, 2107, 2008, 3606, 16958, 8618, 1998, 8242, 3580, 2015, 2024, 19593, 2098, 1000, 1006, 3661, 28712, 1007, 1012, 1000, 5262, 2009, 2003, 4795, 2000, 3413, 6251, 2006, 2178, 1005, 1055, 7947, 1010, 1998, 2000, 3713, 4763, 1997, 1996, 10051, 2003, 1037, 2518, 2025, 8217, 2000, 2022, 28512, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 1045, 2411, 15152, 2094, 2006, 1996, 22481, 2000, 1996, 2190, 1997, 2026, 3754, 1024, 2817, 2716, 2055, 24666, 1010, 24666, 6860, 1010, 6860, 7023, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 1012, 1012, 1012, 2111, 2024, 2062, 3201, 2000, 19337, 3512, 1037, 6925, 2029, 1010, 2295, 6270, 1010, 2027, 2963, 2007, 5165, 1010, 1998, 9075, 2500, 2000, 1999, 15338, 2009, 2065, 2027, 2031, 2025, 2589, 2061, 2525, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 2256, 5448, 1997, 2017, 2003, 2066, 2115, 5448, 1997, 2149, 1010, 1998, 2169, 1999, 2735, 2477, 1996, 2060, 9577, 1000, 1006, 3661, 28712, 2615, 1007, 1012, 1000, 2292, 2068, 2113, 2149, 1031, 11646, 1033, 2004, 7216, 2545, 1999, 2037, 14038, 2015, 2738, 2084, 2004, 6368, 1999, 2037, 2420, 1997, 14165, 1000, 1006, 3661, 5622, 2072, 1007, 1012, 1000, 2689, 2115, 2293, 1997, 13016, 2015, 1998, 15565, 1998, 6953, 14464, 2000, 1037, 4792, 2005, 5896, 11137, 3716, 1000, 1006, 3661, 22135, 1007, 1012, 1000, 1996, 2227, 2003, 1996, 5259, 1997, 1996, 2568, 1010, 1998, 2159, 2302, 4092, 18766, 1996, 7800, 1997, 1996, 2540, 1000, 1006, 3661, 22135, 1007, 1012, 1000, 1045, 9655, 2000, 2963, 2010, 6925, 1010, 1998, 2011, 4223, 5228, 2521, 2062, 2084, 1045, 2071, 2007, 2616, 1000, 1006, 3661, 1039, 2595, 5737, 2072, 1007, 1012, 1000, 3510, 2003, 1037, 21298, 2005, 1996, 2911, 13088, 11012, 2098, 1010, 1037, 19519, 2008, 2089, 2012, 2560, 9526, 1037, 2919, 2927, 1000, 1006, 3661, 1039, 2595, 5737, 2072, 1007, 1012, 1000, 2498, 2003, 19366, 2084, 1996, 3017, 1010, 2005, 2000, 2032, 2003, 5763, 1996, 2983, 1997, 6014, 1024, 2498, 2003, 2062, 2000, 4014, 1011, 6247, 1010, 2005, 2296, 2154, 2002, 3632, 1999, 5473, 1997, 2010, 2166, 1012, 2498, 2003, 6428, 2084, 2002, 2003, 1010, 2005, 2002, 10911, 2015, 2058, 1996, 6548, 1024, 2498, 2003, 15863, 1010, 2005, 2002, 2003, 11438, 2011, 1996, 5771, 1000, 1006, 3661, 1039, 20348, 2615, 1007, 1012, 1000, 2065, 1996, 10310, 1997, 2023, 2088, 13595, 2107, 20398, 2000, 7180, 2012, 21888, 1998, 4458, 26768, 1010, 1998, 2044, 6224, 2068, 1999, 1996, 12930, 1997, 16796, 2562, 2068, 2012, 1996, 3891, 1997, 2037, 3268, 1010, 2054, 2323, 2025, 4828, 1005, 1055, 6432, 2079, 2040, 15187, 2035, 2002, 2038, 2000, 4965, 1996, 7247, 1997, 2307, 3976, 1010, 1998, 2007, 2010, 2878, 9415, 23311, 1037, 2492, 2008, 2002, 2089, 2424, 2045, 2378, 1037, 8813, 2029, 4445, 12383, 2064, 10667, 2039, 4496, 27307, 4287, 2185, 1000, 1006, 3661, 1039, 20348, 2615, 1007, 1029, 2045, 2003, 1037, 3327, 6019, 2005, 2029, 1045, 2572, 2559, 1012, 2065, 1045, 2424, 2009, 1010, 1045, 2097, 2695, 2065, 2005, 2017, 2101, 3892, 1012, 2654, 2244, 2268, 2074, 1037, 2261, 5312, 3283, 2028, 1997, 2026, 2280, 2493, 1998, 4715, 2867, 26610, 2033, 1999, 1037, 3602, 2002, 6866, 2006, 9130, 1997, 2019, 3720, 2002, 2626, 2005, 1996, 3076, 3780, 1010, 1996, 28628, 11286, 1012, 2002, 2626, 1024, 1045, 2001, 5825, 2067, 2000, 2026, 2817, 2534, 1010, 2044, 2183, 2000, 2404, 2070, 19453, 2185, 1010, 2043, 1045, 2787, 1045, 1521, 1040, 2156, 2065, 10424, 1012, 8108, 2078, 2001, 2105, 2000, 2074, 6865, 2041, 1998, 2831, 2007, 2032, 1012, 1037, 2261, 4084, 2101, 1045, 3030, 1010, 9301, 2008, 10424, 1012, 8108, 2078, 2001, 2908, 1012, 2053, 2062, 6721, 7592, 2015, 1999, 1996, 6797, 1010, 2053, 2062, 7433, 2252, 2399, 1010, 2053, 2062, 4715, 3218, 2007, 2032, 2004, 3353, 2873, 999, 2009, 2453, 2025, 2031, 3047, 2000, 2017, 2664, 1010, 2021, 2017, 1521, 2222, 2763, 1523, 5382, 1524, 2008, 13008, 1040, 2038, 2187, 8811, 2574, 1010, 2066, 2043, 2017, 2156, 2619, 5948, 1037, 2064, 1997, 2852, 1012, 11565, 1010, 2175, 2000, 4521, 2012, 6901, 3748, 4777, 1010, 2030, 2043, 2017, 2175, 2000, 2277, 1012, 2053, 2028, 2359, 2000, 2507, 2032, 2039, 1010, 2021, 2002, 2018, 2000, 2175, 1012, 2130, 2295, 2002, 1521, 1055, 2908, 1010, 1996, 2051, 2002, 2985, 2007, 2149, 2001, 1996, 4602, 999, 2002, 2001, 1037, 2307, 5011, 1010, 1998, 2019, 2130, 2488, 2767, 1012, 2065, 2017, 1521, 2128, 2412, 3110, 1996, 1523, 13008, 1040, 5132, 1524, 1010, 2045, 1521, 1055, 2467, 3793, 2075, 1010, 3042, 4455, 1010, 9130, 1010, 1998, 6819, 18246, 2003, 2069, 1016, 2847, 2185, 2065, 2017, 2031, 2051, 2000, 3942, 1012, 2057, 2113, 2002, 1521, 2222, 2079, 2092, 1999, 6819, 18246, 1010, 1998, 11504, 2002, 1521, 2222, 2272, 2067, 2000, 3942, 1041, 15379, 5603, 3286, 2200, 2411, 999, 2562, 2032, 1999, 2115, 12583, 1998, 4604, 2032, 1037, 3793, 2000, 2360, 2204, 6735, 999, 1045, 2123, 1005, 1056, 2113, 2054, 2000, 2360, 1012, 1045, 2079, 3335, 2216, 4268, 1012, 1045, 6814, 2008, 1005, 1055, 1037, 2959, 5592, 1996, 2935, 2741, 2026, 2126, 2651, 1012, 2216, 12369, 3993, 10104, 2015, 2031, 2019, 6581, 2695, 2006, 2028, 1997, 2026, 5440, 21560, 1024, 7327, 6494, 11880, 2401, 1012, 2009, 1005, 1055, 2028, 1997, 1996, 4436, 1045, 2145, 13583, 2185, 2005, 4715, 2399, 1010, 2004, 1045, 3246, 2000, 2079, 2153, 4826, 1010, 1998, 2672, 2130, 2006, 9432, 1010, 2205, 1012, 2065, 2017, 4033, 1005, 1056, 3191, 9395, 10958, 28989, 1005, 1055, 2338, 2158, 2012, 2377, 1024, 2030, 2106, 2017, 2412, 3218, 7327, 6494, 11880, 2401, 1010, 2085, 1005, 1055, 1037, 2204, 2051, 2000, 2079, 2061, 1012, 2023, 3944, 1045, 2018, 1996, 5165, 1997, 9530, 22776, 2153, 1996, 2280, 3583, 5446, 2473, 1012, 2044, 17942, 2037, 2506, 2326, 1011, 1998, 4909, 27352, 10960, 1011, 1045, 2097, 2022, 3407, 2000, 2128, 29098, 25785, 2169, 1997, 1996, 2372, 1006, 1999, 1996, 2851, 1007, 1012, 1045, 5254, 2023, 2138, 1996, 2935, 2038, 2741, 2048, 2307, 9604, 2026, 2126, 2651, 1012, 1996, 2034, 2234, 1999, 1996, 2851, 1997, 2019, 11255, 2013, 1996, 2436, 1997, 1996, 3040, 1997, 1996, 19246, 12035, 1997, 1996, 4259, 21179, 13355, 1012, 1999, 2009, 2001, 2026, 7281, 2000, 2393, 2007, 1996, 4353, 1997, 4151, 15661, 2076, 1996, 3742, 1997, 9330, 3989, 1997, 10190, 12587, 1997, 9587, 29027, 4886, 1012, 4326, 2004, 2009, 2089, 4025, 1010, 1996, 3116, 1997, 1996, 5446, 2473, 2003, 1996, 2117, 1997, 2122, 2048, 2307, 9604, 1012, 2009, 2003, 1037, 2177, 1997, 2111, 3005, 9866, 1998, 8606, 1045, 2097, 6148, 12192, 1998, 2027, 2031, 1011, 1999, 2069, 3116, 1011, 7645, 1996, 12353, 1012, 2027, 2024, 9461, 2000, 2393, 1998, 2031, 3253, 2054, 2003, 1011, 1999, 2026, 8689, 1011, 2200, 2204, 9517, 1012, 1998, 2085, 1045, 2097, 2485, 1996, 2154, 2007, 2353, 2204, 5592, 1024, 1037, 4605, 1997, 4840, 7222, 23804, 1012, 2043, 1045, 2001, 1999, 1041, 15379, 5603, 3286, 2028, 1997, 1996, 24037, 2435, 2033, 1037, 4151, 4003, 2008, 1045, 3728, 26733, 1012, 2009, 4136, 1996, 4766, 2466, 1997, 1996, 7947, 1997, 2643, 4079, 3158, 9353, 5484, 2368, 1010, 1051, 1012, 1042, 1012, 1049, 1012, 1010, 2040, 3133, 1996, 19420, 2344, 1999, 8915, 16161, 17699, 1998, 2351, 1999, 1041, 15379, 5603, 3286, 1024, 1996, 5066, 2775, 1999, 1037, 2155, 1997, 4376, 2336, 1010, 5623, 3158, 9353, 5484, 2368, 2001, 2141, 2012, 15462, 1010, 8506, 1010, 2006, 2337, 2459, 1010, 4271, 1012, 2130, 2004, 1037, 2879, 2002, 2768, 2041, 2011, 3114, 1997, 2010, 4382, 1997, 7083, 1998, 2010, 2293, 1997, 2256, 2935, 1999, 1996, 10190, 28958, 1012, 2044, 7678, 1996, 3694, 2082, 1010, 2002, 2359, 2000, 2175, 2000, 1996, 19420, 13485, 8705, 2012, 6116, 9566, 1010, 4307, 1025, 2021, 2002, 2018, 2107, 1037, 2524, 2051, 2007, 2010, 2913, 2008, 2002, 2001, 2409, 2000, 3926, 2152, 2082, 2034, 1012, 1999, 2244, 1010, 4266, 1010, 2002, 2001, 4914, 2000, 1996, 13485, 8705, 1998, 2587, 1996, 2959, 1011, 2095, 2493, 1012, 2021, 2011, 4234, 2002, 3651, 2008, 2002, 2106, 2025, 2031, 7182, 5848, 2000, 7323, 1996, 3223, 2913, 2005, 1996, 17911, 1010, 1998, 2002, 4162, 2005, 9634, 2004, 1037, 19420, 3913, 2567, 1012, 2646, 1996, 2203, 1997, 2254, 1010, 4347, 1010, 2002, 2001, 2741, 2000, 2358, 1012, 3312, 9208, 8705, 1010, 8915, 16161, 17699, 1010, 4307, 1010, 1998, 2001, 11241, 2004, 1037, 2353, 2344, 2567, 2055, 1037, 3204, 2101, 1010, 4909, 1996, 2171, 1997, 2567, 4079, 1012, 2010, 10792, 2318, 2000, 8572, 2032, 2055, 1037, 2095, 2044, 2002, 3369, 2012, 8915, 16161, 17699, 1010, 1998, 2002, 2211, 2000, 3328, 2007, 1037, 7263, 14401, 1012, 2574, 5728, 1010, 1996, 15291, 2150, 2205, 9145, 1998, 2002, 2071, 20071, 3328, 1012, 2002, 2001, 2579, 2000, 2358, 1012, 4938, 2902, 1999, 3518, 1041, 15379, 5603, 3286, 1998, 2363, 13441, 2005, 1037, 3204, 1010, 2021, 2010, 10792, 3478, 2000, 6869, 1012, 2002, 2513, 2000, 1996, 8705, 2006, 13675, 4904, 8376, 1010, 1998, 2001, 7936, 2000, 2191, 2010, 9518, 2004, 1037, 2353, 2344, 2567, 2006, 2233, 1018, 1010, 4260, 1012, 1996, 2279, 2154, 2002, 2187, 2005, 2358, 1012, 3434, 2000, 23363, 1037, 8325, 1012, 2044, 2093, 3134, 2002, 2234, 2067, 1010, 2010, 10792, 1999, 1037, 3459, 1012, 1996, 14392, 2001, 15877, 1997, 1996, 5923, 1012, 2574, 2010, 2236, 2740, 2211, 2000, 8246, 1012, 2006, 1996, 2197, 2154, 1997, 2258, 2002, 2253, 2000, 1996, 2902, 1999, 1041, 15379, 5603, 3286, 1012, 2045, 1996, 7435, 2179, 2008, 2002, 2018, 25624, 4691, 8381, 1998, 2435, 2032, 2069, 1037, 2460, 2051, 2000, 2444, 1012, 2567, 4079, 1005, 1055, 4650, 2855, 3473, 4788, 1010, 1998, 2002, 2001, 2019, 25785, 2098, 2006, 1996, 4369, 2154, 2044, 2010, 5508, 2012, 1996, 2902, 1012, 1996, 2279, 2261, 2420, 2010, 3997, 3478, 5901, 1012, 2055, 2702, 1051, 1005, 5119, 2006, 1996, 2305, 1997, 2089, 2184, 1010, 2096, 1996, 2905, 2006, 2305, 4611, 2001, 2007, 2032, 1010, 2010, 7036, 3969, 14462, 2049, 2126, 2000, 6014, 1012, 2295, 2002, 2001, 2069, 1037, 2353, 2344, 2567, 2005, 2210, 2062, 2084, 1037, 2095, 1010, 2567, 4079, 2038, 4227, 1037, 3618, 5891, 2004, 1037, 3002, 1998, 6970, 9623, 21748, 1999, 6014, 2084, 2151, 2060, 10181, 2266, 1997, 1996, 19420, 2874, 1997, 1996, 6730, 2540, 1012, 2076, 2010, 7355, 1998, 6114, 2053, 2028, 2657, 2019, 17380, 2773, 4019, 2010, 2970, 1025, 1998, 2002, 2196, 7024, 14488, 1012, 2010, 11559, 2868, 2196, 5078, 2125, 1012, 2010, 2307, 2791, 5031, 1999, 2725, 1996, 2210, 2477, 2092, 1011, 2725, 2068, 2007, 9313, 1998, 2467, 18350, 19732, 1010, 22625, 1010, 5952, 1010, 11752, 1010, 1998, 11345, 3723, 1012, 1000, 2108, 2081, 3819, 1999, 1037, 2460, 2686, 1010, 2002, 16829, 1037, 2146, 2051, 1000, 1006, 9866, 1018, 1010, 2410, 1007, 1012, 2004, 2009, 2001, 2567, 4079, 1005, 1055, 12208, 2000, 2393, 2500, 1999, 2166, 1010, 2061, 2002, 2038, 2506, 2000, 2393, 2500, 1999, 1037, 9487, 5450, 2036, 2044, 2010, 2331, 1012, 7601, 17897, 16670, 21191, 2031, 2042, 2988, 1998, 7108, 2000, 2010, 6970, 9623, 10992, 1012, 13939, 2438, 2567, 4079, 2003, 8550, 1037, 3652, 5891, 2004, 1037, 11743, 1005, 20138, 1998, 1037, 2393, 2121, 1999, 3361, 8190, 1012, 21191, 2024, 2988, 2036, 2013, 5305, 5381, 2040, 2031, 4227, 2740, 2030, 2035, 6777, 18963, 2013, 5665, 2740, 2083, 1037, 13292, 8189, 2081, 1999, 2010, 3932, 1012, 2065, 2017, 2031, 1037, 2569, 7083, 5227, 1010, 2339, 2025, 3198, 2567, 4079, 2005, 1996, 2393, 1997, 2010, 12583, 1029, 1045, 2097, 3198, 2010, 5375, 2023, 2851, 2005, 1037, 3076, 4986, 2055, 2635, 2010, 4676, 3231, 2651, 1012, 2045, 2003, 1037, 13292, 8189, 4851, 2567, 4079, 1005, 1055, 6970, 9623, 10992, 1024, 1051, 2935, 1010, 1999, 2122, 2420, 16726, 9293, 2024, 9012, 2075, 2005, 5165, 1998, 16475, 16777, 2011, 22040, 1010, 1998, 10214, 2000, 17738, 17457, 3209, 2000, 2202, 2039, 2115, 2892, 1998, 3582, 2017, 1010, 2017, 2031, 2992, 1999, 2256, 12930, 2567, 4079, 1010, 2040, 2076, 2010, 2460, 2166, 2921, 2010, 2159, 2006, 2115, 6896, 1998, 1010, 14120, 2000, 2115, 2655, 1010, 2435, 2370, 2000, 2017, 1012, 5028, 2007, 2023, 9987, 1997, 5952, 1998, 4382, 1997, 14916, 24101, 1999, 1037, 2088, 1997, 13749, 8609, 18679, 1010, 2017, 2031, 14866, 19225, 1010, 1051, 2935, 1010, 4593, 2004, 1037, 3696 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1001, 1001, 1001, 1001, 1001, 1001, 12654, 3482, 1011, 4279, 2024, 2411, 9996, 2920, 1999, 1996, 4041, 1998, 7375, 1997, 19388, 1010, 2664, 2037, 8426, 2003, 8050, 2000, 2491, 8293, 2015, 1999, 2035, 1996, 12335, 1012, 1011, 3060, 3032, 2024, 14120, 2000, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 2007, 5761, 2107, 2004, 9259, 1997, 2929, 1997, 2111, 1010, 2188, 21551, 2015, 1998, 2163, 1997, 5057, 2107, 2004, 2561, 2030, 7704, 5843, 7698, 2015, 1012, 1011, 2021, 8332, 7860, 1998, 24728, 19666, 6906, 14680, 1997, 2740, 3001, 1998, 1996, 2092, 1011, 2108, 1997, 2111, 4119, 1996, 9920, 1998, 12646, 2007, 2023, 7427, 1997, 5761, 1012, 1011, 8220, 20215, 2013, 14120, 2000, 1041, 24290, 8293, 2015, 1999, 3088, 1006, 2297, 1011, 1011, 2355, 1998, 2760, 1011, 1011, 12609, 1007, 2064, 12919, 2451, 8147, 2000, 11598, 1996, 2451, 6095, 1997, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 3433, 1012, 1011, 2057, 2556, 2184, 8220, 20215, 2013, 14120, 2000, 1041, 24290, 2008, 3060, 3032, 2323, 2855, 15581, 1999, 2037, 3433, 2000, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 1010, 8419, 1024, 1036, 1036, 1036, 1063, 1027, 16129, 1065, 1026, 999, 1011, 1011, 1011, 1011, 1028, 1036, 1036, 1036, 1011, 9125, 2591, 6529, 2220, 1999, 1996, 3433, 1025, 1011, 11240, 24411, 2063, 2155, 4177, 2005, 9867, 1010, 2553, 10788, 1010, 3967, 8720, 1998, 3582, 1011, 2039, 1998, 24209, 20486, 10196, 1025, 1011, 7438, 10402, 2007, 13372, 1998, 1996, 26452, 2027, 10107, 1025, 1011, 10639, 5911, 3463, 13364, 1025, 1011, 2729, 2005, 1996, 8949, 5665, 1010, 2096, 8498, 2155, 7264, 1025, 1011, 4652, 26453, 7315, 3370, 1997, 2111, 1998, 1996, 2945, 1997, 2216, 2040, 8980, 1025, 1011, 13024, 2334, 3095, 1999, 1996, 3433, 1998, 9125, 2334, 2111, 2000, 3857, 3433, 5090, 1025, 1011, 11240, 24411, 2063, 1998, 9125, 13070, 4279, 1999, 1996, 3433, 2000, 9462, 24116, 1025, 1011, 9125, 5568, 1011, 6147, 4177, 1999, 1996, 7547, 1998, 7375, 1997, 3433, 5761, 1025, 1011, 11240, 24411, 2063, 2865, 2867, 1010, 2164, 2591, 2865, 6125, 1012, 1001, 1001, 1001, 1001, 1001, 1001, 12654, 3482, 1011, 2740, 5889, 1010, 2451, 4177, 1998, 4279, 2442, 2522, 1011, 9570, 7047, 2005, 2522, 17258, 1011, 2539, 3433, 2008, 2024, 11701, 1010, 1998, 22945, 1010, 1998, 6469, 8426, 1997, 5360, 4279, 1012, 1011, 2023, 3921, 4455, 2005, 2019, 13661, 20680, 5670, 2013, 1037, 9197, 20906, 3921, 2000, 8293, 3433, 2000, 2028, 2008, 5703, 2015, 20906, 1998, 2591, 2671, 8107, 1012, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2076, 2270, 2740, 26360, 1010, 2107, 2004, 1996, 2783, 2522, 17258, 1011, 2539, 2270, 2740, 5057, 1997, 2248, 5142, 1010, 4279, 2024, 2411, 9996, 2920, 1999, 1996, 4041, 1998, 7375, 1997, 19388, 1010, 2664, 2037, 8426, 2003, 8050, 2000, 2491, 8293, 2015, 1012, 3060, 3032, 2024, 14120, 2000, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 2007, 25986, 2270, 2740, 5761, 2107, 2004, 2163, 1997, 5057, 1998, 2593, 2561, 2030, 7704, 5843, 7698, 2015, 1012, 2035, 1996, 3032, 3745, 2714, 8332, 7860, 1998, 24728, 19666, 6906, 14680, 1010, 2164, 1998, 2025, 3132, 2000, 5410, 2740, 3001, 1010, 2019, 11900, 4610, 1010, 2007, 2062, 2084, 2431, 1996, 2313, 1005, 2437, 2079, 1005, 2030, 1005, 2893, 2011, 2154, 2011, 2154, 1005, 1998, 2542, 2013, 2192, 2000, 2677, 1012, 2122, 24728, 19666, 6906, 14680, 4119, 1996, 9920, 1998, 12646, 1997, 1996, 7427, 1997, 25986, 2740, 5761, 1012, 1996, 8332, 11251, 1997, 2740, 3001, 1999, 3088, 2965, 2008, 2261, 11321, 5665, 5022, 2097, 2031, 3229, 2000, 2966, 2729, 1999, 11806, 2729, 3197, 1998, 1996, 2785, 1997, 2966, 2974, 2800, 1999, 2122, 4128, 1012, 10723, 3659, 1997, 8985, 2003, 6827, 1012, 2004, 1037, 2765, 1010, 4359, 2591, 10266, 1998, 3445, 3558, 4487, 12693, 6129, 2024, 1037, 2430, 2112, 1997, 2116, 2270, 2740, 9942, 1998, 2023, 5942, 2522, 1011, 15696, 1997, 7300, 2008, 2024, 11701, 1998, 22945, 1010, 1998, 2008, 6469, 8426, 1997, 5360, 4279, 1012, 8220, 20215, 2013, 1041, 24290, 8293, 3433, 1999, 2225, 3088, 1998, 2087, 3728, 1999, 1996, 3537, 3072, 1997, 9030, 2031, 7645, 2008, 1996, 2522, 1011, 2810, 1997, 17522, 29415, 7300, 2038, 6469, 2098, 8426, 1997, 5360, 4279, 1998, 2038, 4594, 1999, 20226, 2451, 8147, 1998, 6095, 1997, 1996, 3433, 1012, 2451, 8147, 1998, 2522, 1011, 2810, 2024, 2048, 21053, 21951, 1024, 1996, 2034, 2108, 1996, 2203, 1997, 1037, 2832, 1010, 1998, 1996, 2117, 2108, 1996, 4118, 2030, 4084, 2000, 6162, 1037, 9059, 3125, 1012, 6322, 1997, 2451, 8147, 1998, 2522, 1011, 2810, 2076, 1041, 24290, 3433, 2031, 3491, 2008, 2043, 4279, 2020, 2920, 1999, 3291, 4106, 1998, 2522, 1011, 2810, 1997, 7300, 1010, 2027, 2165, 6095, 1997, 1996, 3433, 19388, 1998, 5462, 2000, 4073, 2000, 13730, 1996, 16311, 1012, 2057, 7680, 7849, 5562, 2182, 1010, 2104, 2184, 3144, 8220, 20215, 2013, 1041, 24290, 1010, 10960, 2008, 2064, 12919, 2451, 8147, 1999, 1996, 2954, 2114, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 1010, 1998, 4919, 2007, 4847, 2000, 12646, 2007, 2110, 1997, 5057, 5761, 1010, 2164, 7704, 2030, 2561, 5843, 7698, 2015, 1012, 10800, 1015, 1024, 9125, 2591, 6529, 2220, 1999, 1996, 3433, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2076, 5057, 3433, 1010, 2591, 2671, 8519, 3288, 3563, 11532, 1999, 20302, 7274, 2075, 1996, 10949, 1997, 5889, 1998, 4279, 5117, 1999, 1996, 3433, 1999, 2037, 2591, 1010, 3451, 1010, 3439, 1010, 2576, 1998, 3171, 18046, 1012, 1031, 1030, 1054, 2487, 1033, 1999, 2023, 2126, 1010, 2591, 6529, 2064, 3857, 7346, 2030, 10956, 7982, 1999, 10368, 8146, 1012, 2582, 1010, 2591, 6529, 2064, 10956, 1996, 2522, 1011, 2810, 1997, 20547, 1998, 4958, 5178, 4328, 10091, 2135, 6413, 7300, 1998, 2417, 12879, 3170, 19388, 2005, 3445, 2451, 6095, 1012, 1999, 2023, 2126, 1010, 3433, 5761, 2064, 4070, 2062, 3929, 2005, 1996, 2529, 3325, 1010, 1998, 5547, 4022, 2005, 4895, 18447, 21945, 3176, 6114, 2000, 4279, 1010, 2070, 1997, 2029, 2089, 2022, 4078, 2696, 27965, 2098, 2011, 3571, 1997, 4295, 1010, 2331, 1998, 4736, 9740, 1012, 2045, 2003, 2411, 1037, 28616, 8663, 24422, 2055, 1996, 24004, 6914, 20175, 2100, 1997, 4279, 1012, 2451, 8147, 4627, 2013, 1996, 18458, 2008, 2451, 2967, 2024, 21770, 10624, 6914, 14769, 1998, 2008, 1996, 8906, 1997, 10740, 1998, 17522, 29415, 15251, 2442, 4070, 2005, 11701, 7300, 2000, 2022, 2764, 1012, 16311, 2015, 2411, 2128, 10830, 7520, 2214, 20234, 2015, 1998, 9755, 2306, 1998, 2090, 4279, 1012, 2122, 9755, 2064, 19762, 7461, 1996, 3112, 1997, 2270, 2740, 19388, 1998, 10654, 4842, 2037, 6095, 2011, 4279, 1012, 2000, 2424, 20271, 11701, 7300, 1010, 6869, 2545, 2442, 4070, 2005, 1996, 4310, 1998, 9426, 15251, 1997, 5360, 4279, 1998, 2022, 2330, 2000, 4531, 14477, 28228, 19879, 3064, 1998, 1010, 2012, 2335, 1010, 9223, 7300, 1012, 10800, 1016, 1024, 11240, 24411, 2063, 2155, 4177, 2005, 9867, 1010, 2220, 2553, 10788, 1010, 3967, 8720, 1998, 3582, 1011, 2039, 1010, 1998, 24209, 20486, 10196, 1063, 1001, 1055, 2509, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2220, 2553, 10788, 1010, 3967, 16907, 1010, 2004, 2092, 2004, 3967, 24209, 20486, 10196, 5478, 1996, 8426, 1997, 2945, 1998, 2451, 4177, 1025, 2122, 19388, 2064, 3209, 2022, 1005, 6355, 1998, 4078, 2696, 14454, 6026, 1005, 1998, 14563, 1997, 2610, 2160, 6545, 1012, 5994, 1996, 2132, 1997, 1996, 2155, 1010, 2005, 2742, 1010, 2040, 2003, 1996, 10802, 1998, 3625, 2005, 8650, 1996, 2155, 1010, 21312, 1037, 3737, 6970, 4135, 12690, 2953, 2040, 2038, 1996, 2373, 2000, 11240, 24411, 2063, 2155, 2372, 1012, 2076, 1041, 24290, 1010, 2130, 1999, 8146, 1997, 6034, 21662, 2000, 3582, 1011, 2039, 10402, 1010, 2009, 2001, 6179, 2000, 11240, 24411, 2063, 1037, 2155, 3003, 2000, 2202, 2006, 2023, 4708, 2007, 2010, 2155, 1012, 2011, 2478, 2010, 4611, 2000, 4047, 1010, 2002, 2001, 2583, 2000, 3582, 1011, 2039, 2010, 2155, 1032, 1005, 1055, 10402, 7919, 1998, 2007, 1996, 3404, 1997, 1996, 9867, 2780, 1012, 10800, 1017, 1024, 7438, 3967, 5381, 2007, 13372, 1998, 1996, 26452, 2027, 10107, 1063, 1001, 1055, 2549, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 10402, 2442, 2022, 5845, 2007, 13372, 1998, 2025, 2004, 1005, 9530, 15464, 19185, 5739, 1005, 1012, 7539, 1997, 2037, 2173, 1999, 1996, 2591, 12571, 1010, 2037, 2689, 1997, 3570, 2349, 2000, 10928, 1997, 4295, 8509, 2037, 3570, 2030, 2173, 1999, 1996, 2155, 1998, 1013, 2030, 2451, 2012, 3891, 1012, 2009, 2003, 2590, 2000, 2275, 2039, 1037, 7337, 2000, 10956, 4807, 2090, 1996, 10402, 1999, 24209, 20486, 10196, 1998, 2037, 2155, 1010, 2004, 2092, 2004, 3229, 2000, 3737, 18224, 6499, 13247, 2729, 3024, 2011, 8519, 2040, 3713, 2037, 2653, 1012, 24209, 20486, 10196, 4128, 2323, 2022, 8242, 1010, 18834, 11733, 3064, 1998, 2007, 2377, 2752, 2000, 4070, 2005, 2235, 2336, 1010, 2065, 2825, 1012, 9308, 1010, 2009, 2003, 2590, 2000, 5676, 2008, 12278, 2005, 2111, 1999, 24209, 20486, 10196, 2024, 2488, 2084, 2216, 3024, 2011, 2037, 2945, 1010, 2947, 2035, 6777, 15370, 1996, 19686, 3325, 1997, 24209, 20486, 10196, 1012, 3325, 2013, 3025, 16311, 2015, 11637, 2129, 7052, 2000, 2122, 2015, 5919, 2003, 4187, 2000, 4652, 12976, 1998, 5326, 9920, 1997, 24209, 20486, 10196, 1012, 2065, 4219, 9146, 1010, 2009, 2003, 4748, 11365, 3085, 2000, 3073, 2070, 3176, 1005, 18452, 1005, 2107, 2004, 8974, 1010, 7967, 2015, 1010, 16324, 1998, 22163, 2005, 1996, 2336, 1997, 2216, 1999, 24209, 20486, 10196, 10800, 1018, 1024, 10639, 5911, 3463, 13364, 2000, 1996, 5776, 1063, 1001, 1055, 2629, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 11616, 1997, 2522, 17258, 1011, 2539, 1010, 2066, 2008, 1997, 1041, 24290, 1010, 5942, 13964, 2011, 1037, 6897, 3231, 1011, 1011, 1011, 19387, 1011, 7473, 2099, 1006, 1037, 4118, 1997, 8382, 7366, 1007, 1011, 1011, 1011, 2029, 3138, 2012, 2560, 1018, 2847, 2000, 3143, 1012, 2794, 2000, 2023, 2003, 1996, 2051, 2734, 2000, 19818, 1996, 3463, 2000, 8519, 1010, 1996, 4614, 1998, 2633, 2000, 1996, 5776, 1012, 2004, 1037, 2765, 1010, 5022, 2089, 2069, 2113, 1996, 2765, 1997, 1996, 3231, 2044, 2484, 2847, 1999, 3923, 2752, 1998, 2823, 2936, 1999, 3541, 2752, 1012, 2005, 1996, 5776, 1998, 2155, 2023, 3403, 2558, 2003, 3561, 2007, 12503, 1010, 4786, 20461, 1998, 10089, 1012, 2009, 2003, 6118, 6749, 2000, 5323, 1037, 5915, 2832, 2005, 20888, 1996, 3463, 2000, 7435, 1999, 1996, 2492, 2000, 15804, 1996, 10089, 1997, 1996, 5022, 1998, 2037, 2945, 1998, 2000, 17820, 1996, 9474, 2270, 2740, 4506, 2200, 2855, 1012, 10800, 1019, 1024, 2729, 2005, 1996, 8949, 5665, 1998, 5441, 2155, 7264, 1063, 1001, 1055, 2575, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1000, 2077, 1045, 2175, 2151, 2582, 1010, 2292, 2033, 2110, 7861, 21890, 25084, 2008, 1045, 2572, 2025, 2041, 2000, 4487, 4757, 6692, 3207, 3087, 2013, 4147, 1037, 7997, 10412, 1012, 2348, 1045, 2572, 2055, 2000, 4671, 2026, 10617, 2008, 1996, 8866, 2055, 22674, 2411, 2024, 28616, 18447, 2121, 28139, 3064, 1010, 1045, 2903, 2008, 22674, 9530, 7512, 2070, 5793, 3808, 6666, 1998, 2008, 2045, 1521, 1055, 1037, 3056, 9866, 2000, 4147, 2028, 1012, 1000, 2023, 2515, 2025, 2614, 2066, 2619, 4129, 2017, 2025, 2000, 4929, 1037, 10412, 1010, 2105, 2237, 2030, 4728, 1012, 14686, 12455, 2040, 2123, 1005, 1056, 2113, 2488, 2089, 3191, 2010, 5448, 1006, 1037, 2280, 12170, 5666, 20464, 2075, 3559, 2130, 1007, 1998, 3653, 23545, 2008, 1037, 10412, 2003, 14203, 2138, 1997, 1037, 2261, 7275, 1010, 4895, 21572, 8159, 2913, 1012, 2027, 2453, 1012, 1012, 1012, 2065, 2027, 2031, 3532, 3752, 26683, 4813, 2030, 2069, 3191, 1996, 2516, 1012, 14686, 19597, 1045, 2179, 2010, 6685, 3701, 2108, 2008, 1024, 10165, 3808, 2003, 2428, 2648, 1996, 2491, 1997, 21912, 1998, 2138, 6853, 2024, 1996, 7117, 3426, 1010, 2045, 1005, 1055, 2053, 3114, 2000, 4929, 1037, 10412, 1012, 2008, 2001, 2025, 2026, 2202, 9497, 2012, 2035, 1012, 2002, 6936, 2129, 2590, 2009, 2003, 2005, 21912, 2000, 2022, 5204, 1997, 2037, 11301, 2138, 2037, 2219, 3808, 2003, 2200, 2172, 2306, 2037, 2491, 1025, 3952, 1999, 1996, 2433, 1997, 9992, 13436, 2083, 7073, 1998, 16476, 1012, 1045, 2245, 1996, 2364, 6685, 2001, 2008, 1996, 2800, 2951, 2515, 2025, 3073, 1996, 15764, 6998, 2008, 2070, 2111, 2228, 2009, 2515, 1998, 2008, 1996, 7778, 3891, 1997, 2025, 4147, 1037, 10412, 2404, 2046, 7339, 2007, 1996, 10831, 2057, 2227, 10126, 2003, 2025, 2004, 17082, 2004, 2070, 2111, 2228, 1012, 14686, 2010, 1005, 6747, 1005, 2024, 29350, 7275, 1012, 1045, 1005, 1049, 7135, 12455, 2052, 2202, 2309, 10017, 1005, 2913, 1005, 2004, 2151, 2785, 1997, 6947, 1010, 3391, 2007, 5717, 6187, 10383, 3508, 2511, 1012, 1045, 2812, 2028, 3124, 5559, 1037, 7997, 2007, 2053, 10412, 1010, 10412, 1010, 1998, 1037, 24405, 2003, 1037, 4758, 7551, 1029, 999, 1029, 3530, 1012, 1045, 2123, 1005, 1056, 2404, 1037, 2843, 1997, 3635, 2046, 1996, 2070, 1997, 1996, 2913, 6563, 1012, 14863, 2106, 1037, 2307, 3105, 1997, 20253, 2070, 1997, 2122, 2913, 1998, 1045, 4299, 1996, 3166, 2018, 2908, 2046, 2070, 1997, 2008, 6987, 1012, 2021, 1999, 1996, 3166, 1005, 1055, 3639, 1010, 2002, 2196, 3591, 2122, 2913, 2004, 1000, 6947, 1000, 1997, 2505, 1012, 14686, 1045, 2123, 1005, 1056, 2066, 1996, 3720, 2138, 2049, 2667, 2000, 9530, 10258, 3686, 4487, 27694, 3686, 16852, 1013, 7860, 2035, 1996, 2096, 3653, 17421, 2075, 6187, 10383, 3508, 1012, 2748, 1010, 6502, 2411, 3791, 7620, 1012, 2061, 2515, 4062, 2495, 1010, 5248, 1010, 1998, 7073, 1012, 4445, 1997, 2216, 3314, 16519, 2008, 2028, 2323, 2030, 5807, 1005, 1056, 4929, 1037, 10412, 1012, 6854, 1010, 1037, 2402, 8068, 2453, 2202, 2185, 1996, 2391, 1006, 3832, 2030, 2025, 1007, 2008, 1037, 10412, 2003, 11809, 1012, 1012, 1012, 2030, 2130, 4788, 2005, 2017, 1012, 2008, 1005, 1055, 1037, 4121, 4487, 18116, 7903, 2063, 1012, 7539, 1997, 6853, 1010, 18419, 1010, 27208, 2015, 1998, 11385, 5258, 2006, 2035, 4925, 2012, 6721, 2335, 1012, 2025, 2469, 2339, 2008, 1005, 4324, 2053, 2300, 1005, 1012, 1045, 1005, 1049, 2469, 2017, 2071, 2298, 2039, 2054, 1996, 6747, 1997, 2122, 27247, 2024, 1012, 1998, 1045, 2052, 11897, 2099, 2027, 2024, 2025, 2019, 17003, 2135, 4678, 14404, 1012, 2153, 1010, 9217, 4062, 4254, 1010, 1037, 10412, 2064, 7461, 2129, 2172, 4053, 2003, 4015, 2000, 2115, 7412, 2323, 2017, 5823, 2004, 1037, 2765, 1997, 2025, 2437, 3967, 2007, 1037, 4062, 1012, 2339, 2052, 2017, 5454, 2000, 2025, 4929, 2028, 1029, 2138, 1037, 4062, 2097, 2085, 2718, 2017, 1029, 1029, 2009, 4324, 2053, 2300, 2138, 2017, 2165, 2019, 6685, 2241, 2006, 6747, 1998, 25416, 12926, 2009, 2007, 1000, 20096, 4148, 1000, 1012, 7539, 1997, 3251, 1996, 2951, 2017, 1005, 2128, 2437, 17568, 2055, 2182, 6526, 1998, 7539, 1997, 3251, 2030, 2025, 2009, 2758, 2054, 2017, 2052, 11897, 2099, 2009, 2000, 2360, 1010, 1000, 20096, 4148, 1000, 2003, 2025, 14044, 1012, 6854, 1010, 2009, 2003, 2129, 2256, 14332, 2191, 6567, 2043, 2009, 3310, 2000, 2477, 2066, 3808, 1012, 1000, 2077, 1045, 2175, 2151, 2582, 1010, 2292, 2033, 2110, 7861, 21890, 25084, 2008, 1045, 2572, 2025, 2041, 2000, 4487, 4757, 6692, 3207, 3087, 2013, 4147, 1037, 7997, 10412, 1012, 2348, 1045, 2572, 2055, 2000, 4671, 2026, 10617, 2008, 1996, 8866, 2055, 22674, 2411, 2024, 28616, 18447, 2121, 28139, 3064, 1010, 1045, 2903, 2008, 22674, 9530, 7512, 2070, 5793, 3808, 6666, 1998, 2008, 2045, 1521, 1055, 1037, 3056, 9866, 2000, 4147, 2028, 1012, 1000, 2023, 2515, 2025, 2614, 2066, 2619, 4129, 2017, 2025, 2000, 4929, 1037, 10412, 1010, 2105, 2237, 2030, 4728, 1012, 14686, 12455, 2040, 2123, 1005, 1056, 2113, 2488, 2089, 3191, 2010, 5448, 1006, 1037, 2280, 12170, 5666, 20464, 2075, 3559, 2130, 1007, 1998, 3653, 23545, 2008, 1037, 10412, 2003, 14203, 2138, 1997, 1037, 2261, 7275, 1010, 4895, 21572, 8159, 2913, 1012, 2027, 2453, 1012, 1012, 1012, 2065, 2027, 2031, 3532, 3752, 26683, 4813, 2030, 2069, 3191, 1996, 2516, 1012, 14686, 19597, 1045, 2179, 2010, 6685, 3701, 2108, 2008, 1024, 10165, 3808, 2003, 2428, 2648, 1996, 2491, 1997, 21912, 1998, 2138, 6853, 2024, 1996, 7117, 3426, 1010, 2045, 1005, 1055, 2053, 3114, 2000, 4929, 1037, 10412, 1012, 2008, 2001, 2025, 2026, 2202, 9497, 2012, 2035, 1012, 2002, 6936, 2129, 2590, 2009, 2003, 2005, 21912, 2000, 2022, 5204, 1997, 2037, 11301, 2138, 2037, 2219, 3808, 2003, 2200, 2172, 2306, 2037, 2491, 1025, 3952, 1999, 1996, 2433, 1997, 9992, 13436, 2083, 7073, 1998, 16476, 1012, 1045, 2245, 1996, 2364, 6685, 2001, 2008, 1996, 2800, 2951, 2515, 2025, 3073, 1996, 15764, 6998, 2008, 2070, 2111, 2228, 2009, 2515, 1998, 2008, 1996, 7778, 3891, 1997, 2025, 4147, 1037, 10412, 2404, 2046, 7339, 2007, 1996, 10831, 2057, 2227, 10126, 2003, 2025, 2004, 17082, 2004, 2070, 2111, 2228, 1012, 14686, 2010, 1005, 6747, 1005, 2024, 29350, 7275, 1012, 1045, 1005, 1049, 7135, 12455, 2052, 2202, 2309, 10017, 1005, 2913, 1005, 2004, 2151, 2785, 1997, 6947, 1010, 3391, 2007, 5717, 6187, 10383, 3508, 2511, 1012, 1045, 2812, 2028, 3124, 5559, 1037, 7997, 2007, 2053, 10412, 1010, 10412, 1010, 1998, 1037, 24405, 2003, 1037, 4758, 7551, 1029, 999, 1029, 3530, 1012, 1045, 2123, 1005, 1056, 2404, 1037, 2843, 1997, 3635, 2046, 1996, 2070, 1997, 1996, 2913, 6563, 1012, 14863, 2106, 1037, 2307, 3105, 1997, 20253, 2070, 1997, 2122, 2913, 1998, 1045, 4299, 1996, 3166, 2018, 2908, 2046, 2070, 1997, 2008, 6987, 1012, 2021, 1999, 1996, 3166, 1005, 1055, 3639, 1010, 2002, 2196, 3591, 2122, 2913, 2004, 1000, 6947, 1000, 1997, 2505, 1012, 14686, 1045, 2123, 1005, 1056, 2066, 1996, 3720, 2138, 2049, 2667, 2000, 9530, 10258, 3686, 4487, 27694, 3686, 16852, 1013, 7860, 2035, 1996, 2096, 3653, 17421, 2075, 6187, 10383, 3508, 1012, 2748, 1010, 6502, 2411, 3791, 7620, 1012, 2061, 2515, 4062, 2495, 1010, 5248, 1010, 1998, 7073, 1012, 4445, 1997, 2216, 3314, 16519, 2008, 2028, 2323, 2030, 5807, 1005, 1056, 4929, 1037, 10412, 1012, 6854, 1010, 1037, 2402, 8068, 2453, 2202, 2185, 1996, 2391, 1006, 3832, 2030, 2025, 1007, 2008, 1037, 10412, 2003, 11809, 1012, 1012, 1012, 2030, 2130, 4788, 2005, 2017, 1012, 2008, 1005, 1055, 1037, 4121, 4487, 18116, 7903, 2063, 1012, 7539, 1997, 6853, 1010, 18419, 1010, 27208, 2015, 1998, 11385, 5258, 2006, 2035, 4925, 2012, 6721, 2335, 1012, 2025, 2469, 2339, 2008, 1005, 4324, 2053, 2300, 1005, 1012, 1045, 1005, 1049, 2469, 2017, 2071, 2298, 2039, 2054, 1996, 6747, 1997, 2122, 27247, 2024, 1012, 1998, 1045, 2052, 11897, 2099, 2027, 2024, 2025, 2019, 17003, 2135, 4678, 14404, 1012, 2153, 1010, 9217, 4062, 4254, 1010, 1037, 10412, 2064, 7461, 2129, 2172, 4053, 2003, 4015, 2000, 2115, 7412, 2323, 2017, 5823, 2004, 1037, 2765, 1997, 2025, 2437, 3967, 2007, 1037, 4062, 1012, 2339, 2052, 2017, 5454, 2000, 2025, 4929, 2028, 1029, 2138, 1037, 4062, 2097, 2085, 2718, 2017, 1029, 1029, 2009, 4324, 2053, 2300, 2138, 2017, 2165, 2019, 6685, 2241, 2006, 6747, 1998, 25416, 12926, 2009, 2007, 1000, 20096, 4148, 1000, 1012, 7539, 1997, 3251, 1996, 2951, 2017, 1005, 2128, 2437, 17568, 2055, 2182, 6526, 1998, 7539, 1997, 3251, 2030, 2025, 2009, 2758, 2054, 2017, 2052, 11897, 2099, 2009, 2000, 2360, 1010, 1000, 20096, 4148, 1000, 2003, 2025, 14044, 1012, 6854, 1010, 2009, 2003, 2129, 2256, 14332, 2191, 6567, 2043, 2009, 3310, 2000, 2477, 2066, 3808, 1012, 2061, 1996, 3720, 2001, 2241, 2006, 6747, 1998, 2664, 2017, 6449, 1996, 6747, 2020, 21068, 1012, 2029, 2003, 2009, 1029, 2054, 2003, 2115, 5448, 1029, 2024, 21912, 13726, 2302, 22674, 2030, 2007, 1029, 2339, 1029, 2092, 2517, 3720, 1010, 2021, 4365, 2383, 1037, 2155, 1998, 4268, 1998, 2725, 2019, 7551, 2066, 2023, 2000, 6011, 1037, 2391, 1029, 4056, 2021, 2785, 1997, 12264, 1012, 14686, 2096, 1045, 2109, 2000, 10973, 2009, 2012, 3429, 2661, 2566, 3178, 1010, 2085, 1045, 1521, 1049, 2521, 2062, 17145, 1517, 2505, 2058, 2382, 5683, 1037, 2978, 18740, 2100, 1012, 1037, 7997, 10412, 2064, 11703, 7416, 3726, 8195, 2046, 3241, 2027, 2031, 1037, 11965, 1997, 1999, 19722, 19666, 6906, 8553, 2008, 3475, 1521, 1056, 2941, 2045, 1010, 1998, 2012, 2560, 2028, 2817, 2038, 4484, 2129, 8195, 2689, 2037, 5248, 2043, 1996, 6045, 3310, 2125, 1012, 1045, 2196, 2245, 1997, 2870, 2004, 1037, 2502, 1011, 3891, 2635, 14199, 2021, 2302, 1037, 10412, 1045, 5047, 3056, 8146, 11543, 1012, 1045, 1005, 2310, 2196, 5281, 2183, 3429, 2006, 1037, 7997, 1010, 1998, 2382, 1011, 2302, 1037, 10412, 10768, 3600, 1045, 2052, 2031, 1037, 2524, 2051, 5782, 2000, 2175, 2682, 2322, 5601, 999, 2007, 12362, 2000, 3808, 2913, 1010, 2129, 2116, 13436, 2073, 1996, 14199, 11214, 2370, 1010, 6497, 2015, 2370, 2125, 1998, 12271, 2185, 2191, 1996, 1000, 2913, 1000, 4760, 10412, 2224, 2987, 1005, 1056, 9530, 7512, 5770, 2028, 2126, 2030, 1996, 2060, 1029, 2129, 2116, 3180, 21912, 2182, 2007, 12077, 2485, 4455, 2031, 2042, 11925, 1998, 4194, 1999, 2070, 14592, 3334, 1005, 1055, 3160, 20589, 1029, 1996, 3213, 2003, 18345, 2006, 2010, 3167, 2019, 8586, 23681, 2015, 2182, 1998, 2664, 2045, 2024, 19662, 6392, 5190, 1997, 3167, 2019, 8586, 23681, 2015, 2073, 1996, 7945, 2001, 5525, 2488, 2125, 2007, 1996, 10412, 1012, 1045, 1005, 1049, 2025, 2469, 1996, 10412, 2003, 1996, 5025, 3114, 2057, 2031, 10231, 7685, 7997, 6502, 1010, 2659, 4847, 2005, 21912, 1010, 1998, 2659, 9670, 6577, 1010, 1998, 4788, 3808, 13105, 1012, 2030, 2008, 2893, 9436, 1997, 10412, 4277, 1998, 3226, 2097, 7461, 2151, 1997, 2122, 2477, 1012, 1999, 1996, 3655, 2002, 9704, 9670, 2003, 1037, 3019, 1998, 3671, 2112, 1997, 1996, 3226, 1010, 6168, 2182, 1999, 2116, 3033, 1997, 1996, 2149, 1010, 6853, 2024, 6086, 2000, 21912, 1999, 15703, 1998, 9596, 3971, 1012, 2065, 2137, 3655, 2787, 2000, 3623, 2313, 4304, 1998, 2191, 2147, 1037, 4536, 3085, 3292, 2013, 2188, 1998, 4171, 2098, 1996, 4485, 2041, 1997, 3765, 1010, 2017, 2453, 2203, 2039, 2007, 1037, 2204, 28899, 3226, 1012, 2096, 2019, 8586, 23681, 2015, 2024, 2025, 1996, 2168, 2004, 2951, 1010, 2182, 2003, 2026, 2019, 8586, 23681, 1998, 1996, 8220, 1045, 4342, 1012, 1045, 2001, 9670, 5116, 2083, 1037, 2350, 6840, 2006, 1037, 2665, 2422, 1012, 4062, 20228, 15568, 2006, 2083, 6840, 1998, 1056, 1011, 5944, 2033, 2012, 2753, 1009, 2463, 1013, 17850, 1012, 2026, 2132, 15132, 2229, 2083, 1996, 19521, 1010, 1045, 17523, 2125, 1998, 2455, 2382, 1009, 2519, 2185, 1012, 3809, 19686, 4167, 4544, 1012, 2416, 3134, 1999, 2902, 1012, 2028, 3204, 3638, 3279, 1012, 2018, 2000, 2128, 19738, 6826, 2129, 2000, 2491, 2028, 4190, 1012, 7233, 2488, 2084, 3087, 10173, 2021, 2070, 3896, 3961, 1012, 4147, 1037, 10412, 2001, 1996, 2069, 3114, 1045, 2001, 2025, 2730, 2030, 9015, 1037, 2512, 1011, 8980, 3085, 4544, 1012, 8220, 1024, 1996, 3423, 2291, 3138, 2046, 4070, 10412, 2224, 2043, 12515, 6346, 1998, 5427, 9430, 1012, 2130, 2065, 1996, 4062, 2001, 2531, 1003, 2012, 6346, 2005, 1996, 12365, 1010, 2017, 2089, 2022, 6576, 3625, 2005, 2115, 6441, 2065, 2017, 2020, 2025, 2035, 2635, 6413, 29361, 1006, 1045, 1012, 1041, 1012, 4147, 3167, 9474, 3941, 1007, 1012, 2023, 2003, 3391, 2590, 2073, 10412, 2224, 2003, 10915, 1012, 1996, 6685, 1997, 22674, 5443, 5402, 6502, 2003, 22369, 2004, 2027, 2024, 2025, 1996, 2168, 3921, 2000, 3891, 2968, 1012, 2066, 3808, 1999, 1996, 2810, 3068, 2030, 2658, 5013, 2998, 1010, 22674, 1006, 3167, 9474, 3941, 1007, 2024, 1996, 2197, 2240, 1997, 3639, 2065, 2035, 2060, 3891, 10210, 13340 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 19184, 1006, 1017, 1007, 7163, 16012, 1006, 1015, 1007, 18591, 1006, 1015, 1007, 3119, 2928, 1006, 1017, 1007, 2411, 3248, 3494, 2040, 18547, 8562, 2013, 9596, 8146, 2411, 3248, 3494, 2040, 2024, 18333, 2030, 2031, 1037, 3768, 1997, 2969, 7073, 1012, 13012, 9035, 1006, 2382, 1007, 3230, 1998, 3852, 2013, 11064, 2239, 2118, 1999, 24926, 1010, 4058, 1006, 3118, 1007, 1012, 2038, 2048, 2336, 1024, 12877, 4776, 2729, 3363, 1006, 1038, 1012, 2089, 2541, 1007, 1998, 2198, 2729, 3363, 1006, 1038, 1012, 2238, 2432, 1007, 1012, 2496, 2000, 3883, 1013, 3213, 7912, 2729, 3363, 1010, 3183, 2002, 2777, 2096, 2119, 2020, 3213, 1013, 9567, 2007, 1996, 15607, 2117, 2103, 4038, 16017, 1999, 3190, 1010, 4307, 1012, 2043, 2002, 3230, 1996, 6765, 2005, 5503, 2035, 22911, 11039, 8004, 1006, 2494, 1007, 1010, 2002, 2234, 2000, 1996, 11326, 2007, 1996, 8605, 2008, 2010, 5019, 2020, 2187, 2006, 1996, 6276, 1011, 2282, 2723, 1012, 2174, 1010, 2010, 5019, 2020, 1999, 1996, 2143, 1010, 1998, 2002, 2001, 27726, 4527, 1012, 2010, 15112, 5615, 1010, 8471, 2482, 9232, 6894, 1010, 2001, 2019, 3059, 12495, 18980, 1010, 2013, 22466, 1010, 3304, 1010, 1998, 2010, 15112, 7133, 1010, 5032, 1043, 1012, 1041, 9354, 1010, 2001, 1997, 2446, 11377, 1012, 3889, 1005, 1055, 11062, 14472, 1062, 8004, 25574, 15259, 1998, 10360, 3848, 2000, 10483, 4801, 2020, 1997, 3907, 4761, 1012, 3889, 1005, 1055, 2269, 2001, 2141, 2104, 1996, 11988, 1000, 2482, 9232, 6894, 1000, 1010, 2029, 2002, 2904, 2000, 1000, 2729, 3363, 1000, 2077, 3889, 2001, 2141, 1012, 2001, 2320, 1037, 6398, 2005, 1996, 3679, 2265, 1006, 2727, 1007, 1012, 3640, 1996, 2376, 1997, 5639, 2006, 1000, 1996, 20080, 2135, 5637, 6829, 1000, 13941, 2006, 5095, 2305, 2444, 1006, 3339, 1007, 1012, 2761, 2359, 2000, 2022, 1037, 5160, 1010, 2021, 2002, 2584, 1037, 3160, 2006, 2019, 4646, 2433, 2008, 2056, 1010, 1000, 2339, 2079, 2017, 2215, 2000, 2022, 1037, 5160, 1029, 1000, 1012, 2002, 2071, 2025, 2228, 1997, 2505, 1012, 2038, 1996, 4678, 7835, 1997, 2108, 1999, 2048, 5691, 2008, 2441, 2006, 1996, 2168, 2154, 1999, 1996, 2142, 2163, 1011, 4315, 8133, 2386, 1006, 2432, 1007, 1998, 5436, 2480, 18337, 2310, 12190, 2666, 19279, 1006, 2432, 1007, 1006, 2251, 1023, 1010, 2432, 1007, 1012, 2001, 2006, 2093, 3478, 13130, 2015, 2077, 2002, 5652, 2006, 6788, 1005, 1055, 2544, 1997, 1996, 13130, 8695, 20934, 3217, 1006, 2384, 1007, 1012, 2499, 1996, 11585, 5670, 1999, 1037, 3573, 2484, 1999, 22130, 1010, 4404, 1010, 1998, 3138, 2116, 1997, 2010, 3494, 2013, 2023, 3325, 1012, 3473, 2039, 1999, 8446, 1010, 4404, 1012, 3559, 1011, 1999, 1011, 2708, 1997, 2010, 2152, 2082, 3780, 1010, 8446, 2148, 1005, 1055, 1000, 1996, 7006, 1005, 1055, 11950, 1000, 1012, 3230, 13654, 2082, 1999, 16557, 1010, 4404, 1012, 1996, 3496, 1999, 11810, 27843, 2226, 1006, 2871, 1007, 1010, 10856, 18337, 1010, 2107, 2102, 1012, 1012, 1012, 1006, 2384, 1007, 1010, 2073, 5557, 2038, 2010, 3108, 2606, 3718, 1010, 3223, 2274, 8629, 2275, 2039, 2005, 1996, 2915, 1012, 2009, 2001, 2729, 3363, 1005, 1055, 2613, 3108, 2606, 2029, 2001, 9157, 2041, 1999, 1996, 3496, 1012, 2729, 3363, 2409, 2472, 20128, 9706, 10610, 2860, 2074, 2077, 5008, 1996, 3496, 1024, 1000, 2009, 2038, 2000, 2022, 2613, 1012, 2009, 2180, 1005, 1056, 2022, 2004, 6057, 2065, 2009, 1005, 1055, 24195, 2039, 2030, 2065, 2009, 1005, 1055, 2569, 3466, 1012, 2017, 2031, 2000, 2156, 2008, 2023, 2003, 2428, 6230, 1012, 1000, 1996, 3496, 2018, 2000, 2022, 2589, 1999, 2028, 2915, 1012, 2001, 1037, 2266, 1997, 20934, 14536, 4402, 1005, 1055, 6534, 2100, 8900, 2194, 1010, 11064, 2239, 2118, 1005, 1055, 17727, 12298, 1011, 4038, 2177, 1998, 1996, 4587, 9234, 17727, 12298, 2177, 1999, 1996, 2406, 1012, 2003, 2028, 1997, 10630, 2111, 4778, 2000, 3693, 1996, 2914, 1997, 4367, 3861, 2840, 1998, 4163, 1006, 23713, 3022, 1007, 1999, 2289, 1012, 2002, 1998, 3958, 12385, 3240, 2020, 2119, 3256, 3873, 3125, 3111, 1999, 2037, 5593, 1012, 2499, 2005, 1037, 4766, 2558, 2012, 1037, 2695, 2436, 1999, 4404, 2073, 2002, 5359, 5653, 2478, 2010, 2219, 2482, 2144, 1996, 2695, 2436, 2106, 2025, 2031, 5653, 6839, 4683, 1012, 2043, 2002, 5295, 2013, 1996, 2597, 2000, 2693, 2000, 3190, 1010, 2005, 2706, 9707, 2002, 2506, 2000, 2424, 6151, 20806, 25896, 5653, 2104, 2010, 2482, 4272, 1012, 2002, 2001, 4222, 2005, 1037, 2857, 3312, 7625, 2400, 2005, 3364, 1999, 1037, 17480, 2005, 1000, 3606, 1010, 3425, 1010, 2030, 1996, 2137, 2126, 1000, 1010, 2012, 1996, 2117, 2103, 3004, 1999, 3190, 1010, 4307, 1012, 2002, 2001, 4222, 2005, 1037, 2807, 3312, 7625, 2400, 2005, 3364, 1999, 1037, 17480, 2005, 1000, 2024, 2017, 2085, 2030, 2031, 2017, 2412, 2042, 11463, 8261, 1029, 1000, 1010, 2012, 1996, 2117, 2103, 3004, 1999, 3190, 1010, 4307, 1012, 8617, 1998, 5748, 1996, 9409, 3790, 4564, 2236, 3573, 1999, 9409, 3790, 1010, 4404, 1010, 2073, 2002, 2038, 1037, 2621, 2188, 1012, 2363, 1037, 2732, 2006, 1996, 5365, 3328, 1997, 4476, 2012, 25535, 2620, 5365, 8459, 1999, 5365, 1010, 2662, 2006, 2254, 1020, 1010, 2355, 1012, 2034, 2600, 4164, 2002, 2412, 3230, 2956, 6892, 8093, 2080, 10722, 3363, 3889, 2729, 3363, 7604, 1996, 2168, 14686, 2011, 8181, 5367, 1999, 2048, 3152, 1012, 1999, 4596, 2005, 8040, 14227, 12722, 2015, 1000, 2256, 3032, 2024, 2025, 6716, 1010, 2027, 2024, 2814, 1000, 2013, 5367, 1005, 1055, 1000, 2057, 2024, 2025, 6716, 1010, 2021, 2814, 1010, 1000, 1998, 1999, 27149, 1000, 1012, 1012, 1012, 1998, 5574, 2000, 2256, 2488, 7048, 1000, 2029, 2002, 12332, 2000, 5367, 2664, 28616, 28940, 12184, 2015, 2013, 5367, 1005, 1055, 1000, 2011, 1996, 2488, 7048, 1997, 2256, 3267, 1012, 1000, 1012, 3167, 16614, 1006, 2321, 1007, 1045, 2031, 2053, 2801, 2073, 2026, 17203, 3267, 3310, 2013, 1012, 2065, 1045, 2245, 2055, 2009, 2205, 2146, 1010, 2009, 2052, 2139, 20110, 2033, 1012, 1045, 2228, 1037, 2839, 1999, 1037, 4038, 2323, 2025, 2113, 2027, 1005, 2128, 1999, 1037, 4038, 1012, 1045, 2123, 1005, 1056, 2228, 1997, 2870, 2004, 6057, 1011, 1045, 2123, 1005, 1056, 6039, 2039, 1037, 2282, 2007, 2026, 8562, 1012, 1012, 1012, 1045, 2052, 8246, 28616, 6906, 6321, 2004, 1037, 3233, 1011, 2039, 9971, 1012, 2017, 2064, 1005, 1056, 4025, 2000, 2031, 2151, 4066, 1997, 23586, 1012, 2030, 9467, 1012, 2030, 7619, 5469, 2012, 2115, 2219, 3558, 3739, 1012, 1045, 2113, 1045, 1005, 1049, 2025, 1037, 2450, 1005, 1055, 5913, 2158, 1025, 1045, 2123, 1005, 1056, 2031, 2000, 27329, 2023, 3746, 1997, 3287, 5053, 1010, 2061, 2008, 1005, 1055, 2785, 1997, 1037, 4335, 1999, 1037, 2126, 1012, 2043, 2027, 5411, 2033, 2055, 2040, 1045, 2052, 2215, 3015, 2131, 6047, 1006, 2263, 1007, 1010, 1045, 4081, 1038, 1012, 1046, 1012, 1996, 4178, 2008, 2002, 1005, 1055, 2517, 3328, 1996, 2240, 2090, 20531, 6057, 1998, 3621, 5805, 1012, 2021, 2027, 2467, 2991, 2006, 1996, 2217, 1997, 2108, 6057, 1012, 1045, 2036, 4081, 2032, 2138, 1045, 2228, 2002, 1005, 1055, 2183, 2000, 2022, 2619, 1045, 1005, 2222, 2022, 2551, 2005, 13834, 1010, 1998, 1045, 2215, 2000, 2131, 2006, 2010, 2204, 2217, 2085, 1011, 2006, 2010, 8695, 20934, 3217, 1006, 2384, 1007, 2522, 1011, 2732, 1998, 2522, 1011, 3213, 1038, 1012, 1046, 1012, 19580, 1031, 2006, 2166, 2144, 11810, 27843, 2226, 1006, 2871, 1007, 1010, 10856, 18337, 1010, 2107, 2102, 1012, 1012, 1012, 1006, 2384, 1007, 2081, 2010, 1037, 3185, 2732, 1012, 1033, 1045, 2031, 1037, 3109, 2226, 3567, 2843, 2062, 2769, 2084, 1045, 2109, 2000, 999, 2008, 1005, 1055, 1996, 2069, 2566, 3401, 11444, 3468, 4489, 1012, 1045, 2097, 5791, 2022, 2583, 2000, 4604, 2026, 4268, 2000, 2267, 2085, 1010, 2029, 2001, 1037, 3160, 2077, 1012, 1006, 2289, 1007, 1031, 2006, 2652, 10691, 6047, 1999, 1996, 9046, 2131, 6047, 1006, 2263, 1007, 1033, 1045, 2572, 4066, 1997, 25640, 2009, 2004, 1037, 21699, 1000, 15803, 4767, 1000, 1012, 1031, 7727, 2000, 3280, 15803, 8909, 4765, 6590, 2102, 1006, 2526, 1007, 1033, 1006, 2289, 1007, 1031, 2006, 2108, 1037, 2269, 1033, 1045, 1005, 1049, 2525, 3773, 2026, 2684, 1005, 1055, 26881, 3168, 1997, 8562, 1998, 2016, 1005, 1055, 2416, 999, 1045, 4149, 2122, 6007, 1010, 1998, 1045, 1005, 1049, 3241, 1045, 1005, 1049, 1037, 4658, 3611, 1010, 1045, 1005, 1049, 2183, 2000, 2265, 2014, 2026, 2047, 2431, 1011, 9573, 6007, 1012, 2061, 1045, 2056, 1010, 1000, 2054, 2079, 2017, 2228, 1997, 2122, 1029, 1000, 1998, 2016, 1005, 1055, 2066, 1010, 1000, 25391, 2053, 1010, 2025, 16663, 2068, 1012, 1000, 1006, 2289, 1007, 1006, 2384, 1010, 2006, 1037, 3653, 1011, 3772, 3105, 1007, 1045, 2499, 1996, 2353, 5670, 2012, 1037, 15106, 3573, 2005, 1037, 2261, 2706, 1012, 2012, 2176, 1999, 1996, 2851, 2087, 2111, 2024, 2559, 2005, 15001, 1010, 22555, 2030, 2028, 1997, 2216, 14880, 15985, 2098, 1010, 4854, 1011, 2559, 2980, 6077, 2013, 1996, 13618, 18651, 1012, 2028, 2305, 1010, 2295, 1010, 1037, 2450, 2234, 1999, 2076, 1996, 16776, 2847, 1012, 2016, 2246, 1037, 2978, 25348, 2004, 2016, 3825, 2012, 1996, 4675, 1012, 2016, 5864, 2005, 1037, 2617, 1010, 2246, 2039, 2012, 2033, 1998, 2356, 1010, 1000, 2079, 2017, 2228, 1045, 1005, 1049, 3492, 1029, 1000, 2004, 2009, 2357, 2041, 1010, 2016, 2018, 2074, 2939, 1999, 2006, 2014, 6898, 2007, 2178, 2450, 1012, 2057, 8979, 2000, 2031, 1037, 12401, 4512, 2055, 1037, 2711, 1005, 1055, 2969, 1011, 4276, 1010, 22625, 1010, 3404, 1998, 6550, 1012, 1998, 2059, 1045, 5845, 2014, 2000, 1037, 22889, 20668, 2100, 2630, 7708, 4392, 1012, 1006, 2384, 1010, 2006, 2761, 5782, 2000, 2022, 1037, 5160, 1007, 2108, 1037, 5160, 2074, 5015, 2204, 2000, 2033, 1012, 2785, 1997, 2066, 2129, 2108, 1037, 3460, 2030, 2108, 2019, 28625, 21281, 19570, 2923, 2030, 1037, 12702, 26282, 10727, 4165, 2204, 1012, 2021, 2009, 2165, 1037, 3143, 2735, 2043, 1045, 2001, 8110, 2041, 2026, 2375, 1011, 2082, 4646, 1012, 1045, 2481, 1005, 1056, 3437, 1996, 9491, 3160, 1010, 2029, 2001, 1010, 2339, 2079, 2017, 2215, 2000, 2022, 2019, 4905, 1029, 1045, 2018, 7078, 2053, 2801, 1012, 7910, 1010, 2000, 2191, 1037, 2843, 1997, 2769, 1998, 9790, 2111, 1029, 2000, 2022, 6283, 2241, 9578, 2006, 2026, 3105, 2516, 1029, 1045, 2481, 1005, 1056, 2272, 2039, 2007, 2028, 2204, 3114, 1012, 2008, 3092, 2026, 2375, 2476, 2738, 2855, 1012, 1006, 2384, 1010, 2006, 4488, 13856, 5704, 2005, 1996, 2678, 2399, 1010, 19104, 5439, 1998, 19104, 7454, 1007, 2040, 2876, 1005, 1056, 2215, 2000, 2131, 3825, 2005, 5938, 1037, 3232, 1997, 2847, 1999, 1037, 2614, 9065, 1029, 1045, 2253, 1999, 3241, 1010, 3398, 1010, 2489, 2769, 999, 2021, 2009, 2001, 2061, 2172, 6211, 2084, 1045, 2245, 2009, 1005, 1040, 2022, 1012, 2045, 2024, 5190, 1997, 2825, 16820, 1999, 1037, 2678, 2208, 1010, 1998, 2017, 2031, 2000, 2079, 3210, 2005, 2035, 1997, 2068, 1012, 2009, 2001, 3492, 10095, 3070, 1012, 2059, 2153, 1010, 2009, 1005, 1055, 2025, 2066, 1045, 2001, 24494, 4691, 2091, 3628, 2030, 2505, 1012, 2008, 4165, 3492, 1059, 10606, 2100, 1010, 2987, 1005, 1056, 2009, 1029, 1000, 1045, 2018, 2000, 2360, 2061, 2116, 2616, 1012, 2009, 2001, 5292, 11057, 4232, 999, 11333, 11057, 4430, 999, 1000, 1031, 2006, 2010, 2839, 2013, 1996, 3679, 2265, 1006, 2727, 1007, 1033, 1999, 2026, 2568, 1010, 2002, 2001, 1037, 3124, 2040, 2018, 2589, 2120, 2739, 7316, 2021, 2018, 5357, 2013, 4519, 5064, 1998, 2001, 2085, 7049, 2000, 2023, 6659, 5830, 2739, 2265, 1998, 2001, 2200, 8618, 2055, 2009, 1998, 2245, 2002, 2001, 2488, 1010, 2021, 2002, 2347, 1005, 1056, 1012, 1031, 2006, 3251, 2002, 8615, 2108, 2828, 10526, 1999, 4038, 4395, 1033, 1045, 1005, 2310, 2589, 2502, 3293, 5691, 1998, 2210, 2981, 5691, 1010, 1998, 1045, 1005, 2310, 2209, 12181, 2015, 1998, 26094, 4013, 19966, 5784, 1010, 1998, 1045, 2514, 2066, 1045, 1005, 2310, 2042, 2428, 5341, 2000, 2377, 2035, 1996, 2367, 4127, 1997, 3494, 1012, 2061, 1010, 2053, 1010, 1045, 2123, 1005, 1056, 4737, 2055, 2008, 1012, 2065, 1045, 2079, 2131, 16516, 11484, 2094, 1010, 2009, 1005, 1055, 2498, 1045, 2064, 2428, 2491, 1012, 1031, 2006, 2010, 4474, 2012, 4994, 2061, 2172, 7239, 1999, 4419, 11266, 7474, 1006, 2297, 1007, 1033, 1996, 2126, 8076, 1031, 4679, 1033, 5577, 1996, 8562, 2003, 2008, 2009, 1005, 1055, 6057, 2127, 2009, 1005, 1055, 2025, 4902, 1010, 1998, 2065, 2023, 2466, 2134, 1005, 1056, 2031, 1996, 9560, 2008, 2009, 2515, 1010, 2009, 2071, 2074, 2022, 2019, 18691, 1010, 9951, 2466, 1012, 2021, 1996, 2755, 2009, 4515, 2039, 2073, 2009, 2515, 1010, 1998, 2008, 2045, 1005, 1055, 2023, 14412, 2140, 2008, 17991, 2058, 1996, 2972, 7984, 1010, 3431, 2673, 1012, 2021, 2070, 1997, 2009, 2061, 18691, 2017, 2064, 1005, 1056, 2393, 2021, 4756, 2138, 2009 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5179, 2683, 1052, 1012, 14134, 5401, 2629, 1006, 3355, 1007, 25745, 2030, 1012, 5354, 2629, 4789, 13452, 2386, 1998, 23203, 8623, 1010, 4297, 1012, 1010, 1037, 3840, 1010, 25094, 1010, 1058, 1012, 10958, 10270, 9413, 8653, 2239, 1010, 10439, 24178, 1012, 4259, 2457, 1997, 5392, 1010, 2533, 1015, 1012, 5275, 1998, 7864, 2251, 1021, 1010, 3355, 1012, 2787, 2244, 2676, 1010, 3355, 1012, 1008, 5401, 2575, 2728, 1046, 1012, 5253, 1010, 23689, 4213, 14228, 2063, 1010, 5275, 1996, 3426, 2005, 10439, 24178, 1012, 10958, 10270, 1044, 1012, 9413, 8653, 2239, 1010, 23689, 4213, 14228, 2063, 1010, 6406, 28760, 1999, 4013, 2566, 1012, 9659, 1054, 1012, 4139, 2368, 1010, 6734, 1010, 5275, 1996, 3426, 1998, 6406, 1996, 4766, 2005, 25094, 1012, 2077, 7939, 11012, 2063, 1010, 1039, 1012, 1046, 1012, 1010, 1998, 28925, 2319, 1010, 1031, 1008, 1033, 4416, 1998, 15307, 1010, 29017, 1012, 4416, 1010, 3425, 1012, 2023, 2001, 2019, 2895, 2005, 6691, 1012, 23953, 1005, 12087, 2035, 24746, 2015, 2008, 23953, 2018, 3825, 1037, 1002, 4008, 1010, 2199, 14987, 12232, 10776, 2011, 23953, 1998, 13474, 1998, 2008, 13474, 2001, 27885, 14715, 3064, 2000, 1000, 2191, 6691, 1997, 2028, 1011, 2353, 1997, 2056, 7016, 1008, 1008, 1008, 2030, 1996, 7680, 1997, 1002, 2385, 1010, 3156, 1012, 1000, 1031, 1015, 1033, 13474, 1005, 1055, 3437, 2443, 1010, 1999, 2804, 2000, 1037, 2236, 14920, 1998, 2093, 27352, 13345, 1010, 1037, 4675, 25154, 2005, 1002, 2753, 1010, 2199, 1999, 12394, 23294, 1010, 2426, 2060, 2477, 1010, 2008, 23953, 1000, 2113, 2440, 2092, 2008, 2023, 13474, 2001, 2025, 2000, 2022, 3625, 2005, 2151, 2112, 1000, 1997, 1996, 1002, 4008, 1010, 2199, 14987, 1998, 2020, 1000, 7161, 2000, 2224, 2023, 15382, 2004, 1037, 2433, 1997, 24873, 11890, 3258, 1000, 2000, 1000, 3426, 13474, 2000, 2022, 4039, 2000, 7323, 2010, 2916, 1998, 2128, 7583, 3111, 1999, 8650, 2010, 3200, 2916, 1008, 1008, 1008, 1012, 1000, 1996, 2553, 2001, 2699, 2077, 1037, 6467, 1010, 2029, 2513, 1037, 14392, 1999, 5684, 1997, 23953, 1012, 1031, 1016, 1033, 13474, 9023, 2013, 1996, 4525, 8689, 1012, 13474, 1005, 1055, 4054, 8775, 1997, 7561, 2003, 2008, 1996, 3979, 2457, 9413, 5596, 1999, 7989, 2000, 3946, 13474, 1005, 1055, 4367, 2005, 11094, 14482, 2241, 2588, 6884, 23337, 2011, 23953, 1005, 4905, 1999, 4851, 2019, 24156, 1998, 3653, 9103, 14808, 4818, 3160, 2076, 2010, 2892, 1011, 7749, 1997, 1996, 13474, 1012, 1999, 2344, 2000, 7919, 5630, 2023, 18974, 2009, 2003, 4072, 2000, 5136, 1996, 6123, 1999, 2029, 2008, 3160, 2001, 2356, 1012, 1008, 5401, 2581, 2009, 3544, 2008, 1996, 7680, 1997, 1002, 2385, 1010, 3156, 6303, 2011, 20579, 2004, 1037, 1000, 6691, 1000, 2013, 13474, 10375, 2013, 2048, 20877, 14643, 10253, 3964, 5052, 10940, 2000, 1037, 5386, 2090, 13474, 1010, 2019, 4905, 1010, 1998, 20579, 13452, 2386, 1012, 2008, 5386, 4593, 12232, 2058, 1002, 1015, 1010, 2199, 1010, 2199, 1999, 13930, 1998, 2001, 1996, 3395, 1997, 1037, 4848, 6406, 2011, 20579, 13452, 2386, 2114, 13474, 2005, 12275, 1998, 2019, 9529, 1012, 13474, 14914, 2006, 3622, 7749, 1010, 1999, 2490, 1997, 2010, 4675, 25154, 2005, 12394, 1010, 2008, 2002, 2018, 2409, 20579, 13452, 2386, 2008, 2002, 2001, 18875, 2007, 2028, 8512, 6904, 3600, 16230, 2000, 1000, 2272, 2039, 2007, 1002, 8574, 1010, 2199, 1000, 2000, 3477, 2006, 1996, 5386, 27427, 15878, 3064, 2791, 1025, 2008, 2012, 2008, 2051, 23112, 1997, 1996, 5386, 2020, 8701, 18921, 20464, 2891, 5397, 1998, 2008, 2065, 2002, 2018, 2042, 2583, 2000, 6855, 1996, 1002, 8574, 1010, 2199, 2002, 2052, 2031, 2042, 2583, 2000, 1000, 6366, 1000, 1996, 5081, 1997, 18921, 20464, 2891, 5397, 1998, 2059, 1000, 9878, 1037, 7017, 6095, 1000, 1999, 1996, 5386, 1012, 13474, 2059, 14914, 2008, 1000, 1031, 1038, 1033, 1061, 15242, 2023, 2895, 1008, 1008, 1008, 2054, 2720, 1012, 13452, 2386, 2106, 2001, 2000, 13387, 2041, 2026, 4495, 2000, 2424, 2019, 14316, 2040, 2052, 2272, 2039, 2007, 1002, 7558, 1010, 2199, 1000, 1998, 2008, 2023, 1000, 2449, 4495, 1000, 2001, 1000, 1997, 3643, 1000, 2000, 2032, 1000, 1999, 9987, 1000, 1997, 1002, 5018, 1010, 2199, 1012, 1999, 1996, 2892, 1011, 7749, 1997, 13474, 2006, 2010, 4366, 2008, 1000, 15242, 2023, 9870, 3303, 2017, 2000, 2022, 4039, 2000, 5851, 1002, 8574, 1010, 2199, 2013, 2720, 1012, 6904, 3600, 16230, 1010, 1000, 23953, 1005, 4905, 2356, 1996, 2206, 3160, 1024, 1000, 2085, 1010, 1999, 3606, 1998, 2755, 1010, 2909, 1010, 2003, 2009, 2025, 2995, 2008, 2115, 2219, 7396, 1010, 3680, 1012, 3459, 2953, 1010, 12923, 2017, 1999, 2023, 2200, 10816, 1999, 2023, 2197, 2095, 2005, 9861, 1010, 13366, 2527, 24539, 2014, 1010, 1998, 2292, 2033, 3926, 2026, 3160, 1010, 2909, 1010, 2065, 2017, 3499, 2033, 1010, 1998, 7119, 1002, 2382, 1010, 2199, 1999, 26136, 13043, 12394, 1998, 1002, 1023, 1010, 2199, 1999, 2236, 12394, 2114, 2017, 2005, 13366, 2527, 24539, 2014, 1029, 1000, 13474, 15959, 2000, 2008, 3160, 1998, 2333, 2005, 1037, 11094, 14482, 1012, 2008, 22224, 1998, 4367, 2020, 2059, 5275, 1999, 8477, 1012, 23953, 1005, 4905, 27481, 2098, 2008, 2000, 17727, 5243, 2818, 13474, 1005, 1055, 4366, 2008, 1996, 15242, 1997, 2023, 2895, 1000, 8342, 2041, 2010, 4495, 2000, 2424, 2019, 14316, 2005, 1002, 8574, 1010, 2199, 1008, 1008, 1008, 2057, 2052, 2265, 2008, 2023, 2003, 2025, 1996, 2613, 3606, 1025, 2008, 2045, 2052, 2022, 2060, 20543, 2008, 2071, 7461, 2008, 3754, 1025, 1000, 2008, 1000, 2720, 1012, 13452, 2386, 2347, 1005, 1056, 1996, 2069, 2711, 2007, 20543, 2114, 2032, 1010, 1000, 1998, 2008, 1000, 1031, 1045, 1033, 1042, 1045, 2064, 1005, 1056, 3288, 2008, 1999, 1010, 2027, 1031, 1996, 6467, 1033, 2024, 2183, 2000, 2228, 2008, 2009, 2001, 2069, 13452, 2386, 2008, 8729, 2017, 2013, 2893, 1037, 5414, 1012, 1000, 1999, 3433, 1010, 13474, 9413, 8653, 2239, 27481, 2098, 2008, 1024, 1000, 2002, 1005, 1055, 3335, 16238, 1996, 8866, 1012, 1997, 2607, 1010, 1996, 3459, 5668, 2020, 2196, 2026, 7846, 1012, 2008, 9870, 2052, 2202, 1037, 2204, 3066, 1997, 7526, 1998, 2003, 4498, 24172, 2000, 2023, 1012, 2002, 19737, 2009, 9975, 2000, 18024, 1996, 6467, 2114, 2033, 1010, 2000, 3288, 2039, 1037, 6270, 3277, 1998, 2000, 9772, 2033, 1996, 2157, 2000, 1037, 4189, 3979, 1012, 2002, 9969, 3335, 16238, 1996, 8866, 1010, 3038, 4694, 1005, 1056, 3459, 5668, 2026, 7846, 1010, 1998, 2002, 4282, 2488, 2084, 2008, 2030, 2323, 2113, 2488, 2084, 2008, 1012, 1000, 1006, 7902, 2794, 1007, 1012, 1998, 2008, 1024, 1000, 2002, 1005, 1055, 2183, 2000, 2486, 2033, 1010, 2115, 3932, 1010, 2000, 2175, 2046, 3294, 1996, 3459, 2953, 2518, 1998, 2045, 1005, 1055, 2053, 2126, 1045, 2064, 2562, 2013, 2183, 2046, 2009, 2302, 2582, 3653, 9103, 14808, 2075, 2870, 1012, 1000, 1996, 3979, 2457, 2059, 5451, 1024, 1000, 2008, 1005, 1055, 1037, 3043, 1997, 3601, 2005, 2017, 1012, 1045, 2572, 16039, 1996, 4367, 1012, 1000, 23953, 1005, 4905, 2084, 2056, 1024, 1000, 2035, 2157, 1012, 1045, 2097, 2681, 2009, 2059, 1012, 1000, 2588, 24501, 24237, 3508, 1997, 1996, 2892, 1011, 7749, 2077, 1996, 6467, 1010, 23953, 1005, 4905, 2106, 2025, 9377, 1996, 3160, 15959, 2000, 1010, 2021, 8979, 2000, 3198, 3980, 2006, 2060, 5609, 1012, 2588, 6503, 1997, 1996, 2892, 1011, 7749, 13474, 9413, 8653, 2239, 2106, 2025, 1000, 2175, 2046, 1000, 1996, 1000, 3459, 2953, 2518, 1010, 1000, 2021, 3253, 2053, 2128, 1011, 3622, 10896, 1998, 2059, 1000, 8614, 1012, 1000, 2002, 2106, 2025, 2655, 2720, 1012, 6904, 3600, 16230, 2004, 1037, 7409, 1012, 1999, 2010, 28760, 2006, 2023, 5574, 13474, 9413, 8653, 2239, 5571, 2008, 1024, 1000, 1008, 1008, 1008, 23953, 1005, 9517, 2354, 2010, 4861, 2001, 9413, 20793, 3560, 2004, 3090, 1010, 1998, 9505, 1996, 3160, 9578, 2005, 2049, 3811, 22369, 1998, 3653, 9103, 14808, 4818, 3466, 1012, 1000, 1998, 2008, 1024, 1000, 2002, 15734, 26392, 1996, 6467, 1008, 1008, 1008, 1012, 1000, 2947, 1010, 2429, 2000, 13474, 1010, 1000, 1008, 1008, 1008, 10439, 24178, 1005, 1055, 2034, 8775, 1997, 7561, 5936, 2048, 3937, 1998, 4876, 3141, 3980, 1024, 1008, 5401, 2620, 1000, 1006, 1015, 1007, 3251, 2019, 4905, 2089, 2007, 17727, 19496, 3723, 3198, 6592, 3512, 1998, 3811, 3653, 9103, 14808, 4818, 3980, 1010, 2124, 2011, 2032, 2000, 2022, 9413, 20793, 3560, 2004, 2773, 2098, 1012, 1000, 1006, 1016, 1007, 3251, 2019, 4905, 2089, 11628, 1037, 7409, 2004, 2000, 5609, 5373, 7882, 1010, 2021, 2124, 2011, 1996, 12843, 7409, 1031, 4905, 1029, 1033, 2000, 2022, 1999, 2755, 22537, 1012, 1000, 2004, 3090, 1999, 10439, 24178, 1005, 1055, 4766, 1010, 9517, 2005, 10439, 14774, 2063, 2001, 3929, 5204, 1997, 1996, 3459, 2953, 2553, 1025, 2008, 1996, 3459, 5668, 2020, 2025, 7846, 1997, 10439, 24178, 1010, 1998, 2008, 7233, 2001, 10155, 2006, 1996, 3399, 1997, 4945, 2000, 26056, 1010, 2025, 3161, 9861, 1012, 9517, 2001, 2036, 3929, 5204, 2008, 2720, 1012, 6904, 3600, 16230, 1010, 10439, 24178, 1005, 1055, 3078, 3246, 2005, 6274, 1002, 8574, 1010, 2199, 1012, 4002, 1010, 2001, 3929, 5204, 1997, 1996, 3459, 2953, 15382, 1998, 2001, 24720, 8558, 1012, 1000, 1008, 1008, 1008, 2010, 2219, 7526, 1997, 2010, 3800, 1999, 4851, 1996, 3160, 2001, 2000, 6592, 2060, 5320, 2005, 10439, 24178, 1005, 1055, 13720, 2000, 17781, 1002, 8574, 1010, 2199, 1012, 4002, 1006, 19817, 11176, 1007, 1012, 1996, 3800, 2003, 21360, 20782, 2006, 1996, 3302, 1010, 2021, 1999, 3193, 1997, 9517, 1005, 1055, 3716, 1997, 2049, 5025, 20868, 16570, 13331, 9407, 1010, 2004, 4941, 2000, 2019, 10061, 3663, 2073, 9517, 2038, 1037, 9608, 6772, 1999, 1037, 3160, 1005, 1055, 2128, 20414, 11656, 1010, 1996, 3160, 2182, 10865, 1997, 2001, 2356, 2302, 19777, 2030, 8016, 1010, 2001, 2124, 2000, 2022, 20316, 2007, 1996, 3404, 1031, 3606, 1029, 1033, 1010, 1998, 2001, 2881, 2135, 22369, 1012, 1000, 1031, 1017, 1033, 1006, 7902, 2794, 1007, 2947, 1010, 13474, 3544, 2000, 9530, 22119, 2008, 1996, 3160, 2356, 2011, 23953, 1005, 4905, 2052, 2025, 2031, 3223, 1037, 11094, 14482, 2065, 2002, 2018, 1037, 1000, 9608, 6772, 1000, 1999, 1996, 1000, 2128, 20414, 11656, 1997, 1996, 3160, 1010, 1000, 2021, 27481, 2015, 2008, 1999, 2023, 2553, 1996, 3160, 2001, 2025, 2069, 24156, 1010, 2021, 3223, 1037, 11094, 14482, 2138, 2009, 2001, 1000, 2124, 1000, 2000, 2022, 1000, 20316, 2007, 1996, 3606, 1000, 1998, 2001, 1000, 2881, 2135, 22369, 1012, 1000, 2122, 2024, 2844, 5571, 2000, 2022, 22915, 2011, 2028, 4905, 2114, 2178, 1010, 4983, 3569, 2011, 1996, 2501, 1012, 1996, 7669, 1010, 2174, 1010, 2003, 2008, 13474, 1005, 1055, 5571, 1006, 2029, 2024, 6380, 2011, 23953, 1005, 4905, 1007, 2024, 2025, 3569, 2011, 1996, 2501, 1999, 2023, 2553, 1012, 2009, 2089, 2022, 2008, 1996, 3459, 5668, 2020, 2025, 7846, 1997, 13474, 9413, 8653, 2239, 1010, 2021, 2498, 1999, 1996, 2501, 6753, 2010, 3715, 2008, 23953, 1005, 4905, 2354, 2008, 2755, 1012, 4445, 2003, 2045, 2505, 1999, 1996, 2501, 2000, 2490, 1996, 3715, 2008, 23953, 1005, 4905, 2354, 2008, 1996, 3459, 2953, 2553, 2001, 2025, 2005, 1000, 3161, 9861, 1010, 1000, 2021, 2005, 1037, 1000, 4945, 2000, 23613, 26056, 1012, 1000, 2006, 1996, 10043, 1010, 2023, 2457, 2089, 2202, 8268, 5060, 1997, 2049, 3522, 3247, 1999, 3459, 2953, 1058, 1012, 9413, 8653, 2239, 1010, 25578, 2030, 1012, 16471, 1010, 15017, 1011, 5187, 1010, 21267, 1052, 1012, 14134, 25491, 1006, 3355, 1007, 1012, 2009, 3544, 2013, 2008, 3247, 2008, 1996, 12087, 1999, 2008, 2553, 6884, 1000, 13474, 1031, 9413, 8653, 2239, 1033, 3421, 1031, 2000, 3459, 2953, 1033, 2008, 1996, 4027, 2015, 2071, 16636, 2204, 2516, 2021, 2008, 2023, 2001, 6270, 1998, 13474, 2354, 2009, 2001, 6270, 1010, 1000, 2004, 2092, 2004, 2019, 2035, 29107, 3508, 2008, 1000, 13474, 2018, 1037, 4611, 2000, 26056, 1996, 2440, 6698, 1997, 1996, 27427, 15878, 3064, 2791, 1000, 1998, 2008, 1037, 6467, 14392, 2114, 13474, 9413, 8653, 2239, 2005, 2236, 1998, 26136, 13043, 12394, 2561, 2989, 1002, 4229, 1010, 3156, 2001, 19768, 2011, 2023, 2457, 1012, 1999, 2110, 1058, 1012, 7151, 11106, 3286, 1010, 6365, 2030, 1012, 4720, 2549, 1010, 19609, 1052, 1012, 1019, 1006, 4529, 1007, 1010, 2023, 2457, 2641, 1037, 2714, 3291, 1012, 1999, 2008, 2553, 13474, 2170, 2839, 9390, 2040, 14914, 2008, 2010, 5891, 2004, 1037, 7191, 1010, 2375, 1011, 11113, 28173, 3070, 2158, 2001, 2204, 1012, 2006, 2892, 1011, 7749, 1996, 12388, 29163, 4905, 1010, 2058, 13474, 1005, 1055, 22224, 1010, 2001, 7936, 2000, 3198, 2169, 7409, 1999, 9415, 2065, 2002, 2018, 2412, 2657, 2008, 1996, 13474, 2018, 2579, 1000, 24156, 18271, 1000, 2714, 2000, 2008, 2649, 1999, 1996, 24265, 2007, 2178, 2210, 2611, 1010, 2315, 1999, 1996, 3160, 1012, 2169, 7409, 4660, 1999, 1996, 4997, 1012, 2006, 5574, 13474, 27481, 2098, 2008, 2023, 2001, 7561, 2138, 1996, 12388 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2045, 2024, 3243, 1037, 2843, 1997, 9262, 25212, 8241, 24977, 2041, 2045, 1012, 2045, 2024, 1037, 9129, 1997, 2092, 2124, 3924, 2066, 1046, 15853, 2015, 1010, 3221, 7529, 1998, 21269, 2063, 1010, 1998, 2070, 2625, 2124, 3924, 2066, 24604, 1998, 7044, 1010, 1998, 1037, 3232, 1997, 14485, 3924, 2066, 15333, 2271, 1998, 4773, 4140, 2595, 1012, 2028, 2518, 2000, 2562, 1999, 2568, 2003, 2008, 2035, 2216, 24977, 2024, 2025, 2035, 3294, 4310, 1012, 2045, 2024, 1037, 6474, 2030, 2061, 9262, 25212, 24977, 1010, 2021, 2045, 2024, 2087, 5791, 2025, 1037, 6474, 1997, 1046, 22747, 24977, 1006, 1999, 2755, 2045, 2024, 2069, 2048, 1025, 9587, 16084, 2527, 1998, 2026, 12172, 2015, 1007, 1012, 9262, 25212, 24977, 1999, 2070, 2126, 2024, 2025, 4498, 4406, 11603, 20611, 1025, 2027, 7427, 2362, 1037, 2312, 3815, 1997, 4493, 4007, 1010, 2029, 2003, 22805, 2362, 3081, 4007, 2764, 2011, 1996, 4487, 3367, 3217, 21431, 1998, 2073, 2070, 4007, 2003, 3495, 2764, 2011, 2008, 21431, 1010, 2021, 2059, 2036, 2109, 2011, 2060, 17088, 1012, 1999, 9262, 25212, 2005, 2742, 1046, 15853, 2015, 11791, 1996, 3729, 2072, 7375, 2057, 6392, 1998, 3594, 2008, 1999, 2049, 9262, 25212, 14903, 1010, 2021, 2060, 17088, 2066, 14721, 2036, 2224, 2023, 1012, 1996, 2060, 2126, 2105, 1010, 14721, 11791, 9587, 16084, 2527, 1010, 1996, 17289, 1046, 22747, 7375, 1010, 1998, 3594, 2023, 1999, 2049, 14903, 1012, 1046, 15853, 2015, 2006, 2049, 2735, 2059, 3594, 9587, 16084, 2527, 2612, 1997, 4975, 2049, 2219, 1046, 22747, 7375, 1012, 1999, 2023, 2695, 2057, 1005, 2222, 2202, 1037, 6748, 2298, 2012, 2029, 1997, 2122, 1000, 6177, 1000, 1996, 2536, 9262, 25212, 14903, 2024, 2478, 1012, 2028, 3120, 2008, 1005, 1055, 4276, 2559, 2012, 2000, 10667, 2039, 2023, 2592, 2003, 1996, 14721, 9262, 25212, 10618, 3931, 1012, 2096, 2023, 2515, 7201, 2070, 24977, 2005, 2169, 8241, 1010, 2009, 1005, 1055, 6854, 3811, 12052, 1998, 4297, 11631, 7869, 3372, 1012, 2070, 14903, 2097, 2862, 2037, 1046, 22747, 7375, 1010, 2096, 2070, 2500, 2123, 1005, 1056, 2079, 2023, 2021, 2079, 2862, 2037, 16545, 2050, 7375, 1012, 2009, 3957, 2028, 1037, 2707, 1010, 2021, 2009, 1005, 1055, 1037, 2200, 12958, 2862, 1998, 1037, 2862, 2008, 1005, 1055, 2947, 2367, 2005, 2169, 8241, 1012, 2178, 2126, 2003, 2000, 8816, 2169, 8241, 1998, 2074, 2298, 2012, 1996, 1013, 5622, 2497, 2030, 1013, 14184, 14176, 1998, 2298, 2012, 1996, 15723, 6764, 2108, 2556, 1012, 2023, 2573, 2000, 2070, 3014, 1010, 2021, 2070, 14903, 14916, 14074, 25067, 1997, 2092, 2124, 3934, 1012, 1041, 1012, 1043, 1012, 9587, 16084, 2527, 4150, 1000, 3221, 7529, 1011, 1046, 22747, 1000, 1999, 4773, 27179, 1012, 4773, 23874, 2515, 2242, 2714, 1012, 16948, 1010, 21431, 4031, 5530, 1998, 4087, 18216, 2823, 2079, 5254, 2070, 1997, 1996, 7375, 8860, 1010, 2021, 2153, 2009, 1005, 1055, 2069, 1037, 2261, 24977, 2008, 2024, 3855, 2065, 2027, 2024, 3855, 2012, 2035, 1012, 1037, 2502, 6453, 2000, 2023, 2003, 1037, 2695, 2008, 1045, 5064, 4771, 2043, 2725, 2026, 3988, 2470, 2013, 28217, 20512, 2055, 3748, 14151, 1022, 1006, 1996, 3497, 2918, 1997, 1037, 2925, 1046, 15853, 2015, 19413, 2361, 1021, 1007, 2029, 2200, 4415, 7201, 1998, 7604, 3053, 2035, 6922, 24977, 2109, 2011, 2008, 8241, 1012, 1037, 2197, 7001, 2003, 2000, 5690, 2005, 2195, 2092, 2124, 19706, 1998, 1013, 2030, 10061, 4280, 1999, 2169, 28699, 1998, 2059, 4638, 2011, 2029, 2465, 2122, 2024, 7528, 1999, 2169, 8241, 1012, 2023, 2003, 7199, 3733, 2005, 28699, 2015, 2066, 1046, 22747, 1010, 1041, 1012, 1043, 1012, 5344, 8663, 18209, 2003, 4415, 7528, 2011, 1996, 7375, 1012, 2174, 2005, 1046, 2696, 1998, 29175, 2050, 2023, 2003, 5399, 2062, 3697, 2004, 2009, 3397, 3262, 19706, 2008, 2024, 2000, 2022, 7528, 2011, 5310, 3642, 1012, 2005, 4431, 1010, 1045, 2109, 1996, 2206, 4127, 2005, 2023, 2197, 7001, 4118, 1024, 14262, 2615, 7485, 1011, 16770, 2121, 2615, 7485, 2890, 15500, 1046, 22747, 1011, 5344, 8663, 18209, 3729, 2072, 1011, 14068, 24805, 4590, 16545, 2050, 1011, 9178, 24805, 4590, 1038, 2615, 1011, 9262, 2595, 1012, 27354, 1012, 9563, 1010, 16381, 18442, 21572, 17258, 2121, 1041, 3501, 2497, 1011, 5219, 8663, 18209, 13118, 1011, 12667, 1011, 6123, 6072, 4747, 6299, 1010, 9262, 2595, 1012, 1059, 2015, 1012, 12667, 1012, 4563, 1012, 4646, 29175, 2050, 1011, 2147, 24805, 4590, 1010, 4434, 24805, 4590, 1010, 3266, 8663, 2638, 7542, 1046, 5244, 1011, 7688, 3449, 1011, 3449, 8663, 18209, 1010, 3643, 10288, 20110, 3258, 1046, 2696, 1011, 12598, 24805, 4590, 14855, 13102, 2594, 1011, 8241, 4887, 2705, 8663, 8873, 2290, 5653, 1011, 2771, 4168, 12274, 7096, 11514, 8445, 4773, 6499, 19869, 2102, 1011, 8241, 8545, 5910, 7432, 3388, 8663, 18249, 2121, 1010, 4372, 16044, 2099, 24154, 1011, 3266, 22842, 8566, 3709, 10288, 8586, 16161, 22573, 2099, 7903, 2063, 14108, 1011, 3105, 8663, 18209, 2302, 2582, 4748, 2080, 1010, 2182, 1005, 1055, 1996, 8185, 1997, 9262, 25212, 7375, 6177, 2109, 2011, 2184, 9262, 25212, 14903, 1024, 1006, 2004, 3334, 20573, 2369, 6922, 2171, 2965, 21431, 1999, 2445, 5930, 3594, 7375, 2013, 2060, 21431, 1010, 4606, 2369, 2171, 2965, 1996, 7375, 2109, 2000, 2022, 2013, 1996, 21431, 1999, 2008, 5930, 1010, 2021, 1996, 21431, 6955, 1996, 7375, 2000, 2070, 6327, 3029, 1007, 2559, 2012, 1996, 8185, 2057, 2064, 2156, 2045, 2024, 3701, 1017, 2502, 4243, 4526, 3584, 1998, 2128, 1011, 24013, 9262, 25212, 6177, 1025, 2417, 6045, 1010, 14721, 1998, 15895, 1012, 15895, 2003, 2672, 1037, 2569, 2553, 2295, 1010, 2004, 2009, 1005, 1055, 2019, 3029, 9936, 6197, 1997, 3934, 1998, 2025, 1037, 21431, 2007, 1037, 2309, 6143, 3125, 1012, 2279, 2000, 2122, 2502, 4243, 2045, 2024, 2048, 3760, 3924, 5155, 1037, 2261, 6177, 1012, 1997, 2216, 27593, 2475, 2038, 1037, 3584, 1998, 2128, 1011, 24013, 7375, 1997, 1041, 3501, 2497, 1010, 1046, 5244, 1998, 1046, 2696, 1010, 2096, 24604, 2038, 2049, 2219, 7375, 1997, 3729, 2072, 1012, 1999, 1996, 2553, 1997, 24604, 2009, 3504, 2066, 2009, 1005, 1055, 2069, 4100, 2128, 1011, 24013, 2295, 1012, 1996, 7375, 2038, 2049, 2219, 2171, 1006, 27467, 1007, 2021, 2045, 1005, 1055, 3475, 1005, 1056, 2428, 1037, 3584, 20785, 2030, 2622, 3931, 2800, 2005, 2009, 1010, 4496, 2024, 2045, 2428, 2151, 8128, 2006, 2129, 2000, 2224, 27467, 2006, 1041, 1012, 1043, 1012, 3419, 11266, 2030, 22962, 2100, 1006, 2066, 2057, 6392, 2038, 1007, 1012, 4237, 2013, 2478, 1006, 2092, 2124, 1007, 2330, 3120, 24977, 1997, 6177, 2035, 14903, 1006, 2119, 2330, 1998, 2701, 3120, 1007, 2018, 1037, 3232, 1997, 13294, 1998, 1013, 2030, 4722, 24977, 1012, 1997, 2122, 1010, 14855, 13102, 2594, 2001, 2087, 4703, 7528, 2011, 2171, 3238, 4722, 3642, 1010, 8419, 1018, 2041, 1997, 1019, 2335, 1010, 2348, 1996, 2028, 7375, 2008, 2001, 2315, 1006, 28972, 8758, 1007, 3475, 1005, 1056, 2428, 1037, 3622, 14855, 13102, 2594, 7375, 2021, 2003, 2062, 1037, 3036, 3141, 2622, 2008, 2950, 1996, 14855, 13102, 2594, 7375, 4280, 1012, 1046, 2696, 1998, 1041, 3501, 2497, 2628, 4876, 2007, 1022, 4414, 1021, 2041, 1997, 2184, 24977, 2108, 2171, 3238, 1998, 4722, 1012, 9487, 2003, 2008, 2035, 2701, 3120, 14903, 7718, 2018, 1037, 2171, 3238, 4722, 7375, 1997, 14262, 2615, 7485, 1012, 2012, 1996, 2060, 2203, 1997, 1996, 8674, 1999, 1996, 14903, 2008, 1045, 2246, 2012, 2045, 2020, 2053, 2171, 3238, 4722, 1998, 2053, 2701, 3120, 24977, 1997, 1046, 22747, 1010, 16545, 2050, 1010, 14068, 27354, 1010, 13118, 1011, 12667, 1010, 9262, 21397, 1998, 1046, 14479, 2818, 1012, 2009, 1005, 1055, 2524, 2000, 2360, 2054, 3599, 9297, 1996, 4325, 1997, 2171, 3238, 4722, 6177, 1012, 2028, 7526, 2089, 2022, 2008, 1046, 2475, 4402, 2318, 2041, 2383, 14262, 2615, 7485, 1998, 1041, 3501, 2497, 2004, 1996, 4722, 3192, 1997, 2673, 1010, 3574, 1037, 8241, 2134, 1005, 1056, 2074, 2421, 1041, 3501, 2497, 1010, 2021, 2062, 2030, 2625, 2001, 1041, 3501, 2497, 1012, 1999, 2008, 2088, 2009, 2876, 1005, 1056, 2191, 2172, 3168, 2000, 2421, 1037, 2128, 1011, 24013, 1041, 3501, 2497, 7375, 1012, 2007, 1996, 4125, 1997, 2330, 3120, 9262, 25212, 6177, 2009, 2081, 2062, 3168, 2000, 2074, 2128, 8557, 2122, 1010, 2061, 2035, 10947, 28699, 2015, 1006, 1046, 22747, 1010, 16545, 2050, 1010, 4385, 1007, 2024, 9544, 3085, 2128, 1011, 2109, 2013, 2330, 3120, 1012, 2028, 6453, 2000, 2023, 2003, 2174, 15333, 2271, 1010, 2029, 2750, 2108, 1999, 1037, 9241, 2000, 2022, 1996, 2034, 7378, 9262, 25212, 1021, 7375, 2145, 2371, 1996, 2342, 2000, 3443, 2037, 2219, 24977, 1997, 1996, 4435, 2047, 4773, 6499, 19869, 2102, 1998, 24154, 28699, 2015, 1012, 2009, 2097, 2022, 5875, 2000, 2156, 2054, 1996, 2279, 10416, 1997, 9262, 25212, 1021, 24977, 2097, 2079, 2007, 4847, 2000, 2122, 2048, 28699, 2015, 1012, 2019, 5875, 8089, 2003, 2008, 4773, 23874, 1010, 2029, 2011, 2070, 2111, 2089, 2022, 2464, 2004, 1996, 13082, 2775, 1997, 1996, 2701, 3120, 1998, 3293, 2004, 1010, 2941, 3594, 4659, 2116, 2330, 3120, 6177, 1010, 1998, 1997, 2216, 3053, 2035, 1997, 2068, 2024, 2013, 15895, 1006, 2029, 2089, 2036, 2488, 4863, 2339, 9980, 6485, 1996, 2458, 1997, 16216, 4948, 16339, 2005, 2070, 2051, 1007, 1012, 9262, 21397, 2005, 2070, 3114, 2003, 1996, 6453, 2182, 1012, 16216, 4948, 16339, 2038, 2049, 2219, 7375, 1997, 2009, 1010, 2021, 4773, 23874, 3594, 1996, 3103, 1013, 14721, 15544, 2544, 1012, 2178, 5875, 8089, 2003, 2008, 14903, 2123, 1005, 1056, 4025, 2000, 18154, 4666, 6177, 1010, 2021, 2593, 2224, 1996, 15544, 6177, 2005, 2673, 1010, 2030, 2224, 1996, 15895, 3924, 2005, 2673, 1012, 2045, 1005, 1055, 2053, 8241, 2008, 3594, 2360, 1046, 5244, 2013, 1046, 15853, 2015, 1010, 1046, 22747, 2013, 14721, 1998, 16545, 2050, 2013, 15895, 1012, 2019, 6453, 2000, 1996, 3627, 2003, 2043, 14903, 3499, 4522, 6177, 2000, 2022, 26928, 1010, 2030, 2130, 2911, 2007, 3674, 24977, 1997, 1996, 2168, 28699, 2066, 10680, 2515, 1012, 2057, 2079, 2031, 2000, 5382, 2008, 1037, 9262, 25212, 4646, 8241, 2003, 3243, 1037, 2978, 2062, 2084, 2074, 1996, 2275, 1997, 28699, 6177, 1012, 2005, 2028, 2045, 1005, 1055, 2467, 1996, 8346, 3642, 2008, 1005, 1055, 8241, 3563, 1010, 2021, 2045, 2024, 2036, 2477, 2066, 1996, 7375, 1997, 12679, 2005, 2536, 2477, 1010, 1996, 1006, 10047, 1007, 6061, 2000, 2079, 8246, 1011, 2058, 2005, 2951, 6499, 3126, 9623, 1010, 1006, 3383, 6854, 1007, 1037, 2193, 1997, 3036, 14184, 2005, 25510, 9331, 1010, 7809, 1010, 17710, 20473, 2891, 4385, 1010, 1998, 2896, 2504, 8241, 15380, 2066, 19160, 16293, 2015, 1006, 9808, 5856, 2030, 4728, 1007, 2008, 8790, 3973, 1006, 1041, 1012, 1043, 1012, 1046, 15853, 2015, 1007, 2030, 10763, 3973, 1006, 1041, 1012, 1043, 1012, 7044, 1007, 7170, 7375, 6177, 1012, 15333, 2271, 2005, 6013, 2089, 2298, 2066, 3221, 7529, 2004, 2009, 3594, 1037, 4189, 3815, 1997, 1996, 2168, 6177, 1010, 2021, 1999, 5025, 3012, 2009, 1005, 1055, 1037, 3294, 2367, 8241, 2012, 2116, 3798, 1012, 2633, 1010, 3602, 2008, 2025, 2035, 14903, 2020, 10847, 1998, 2025, 2035, 6177, 1012, 5546, 1996, 1017, 2887, 14903, 26785, 4773, 4140, 2595, 1010, 20933, 10422, 6970, 9153, 3351, 1998, 2718, 21046, 2522, 6491, 3170, 2595, 2271, 2020, 2025, 10847, 1010, 1996, 3114, 2108, 2027, 2024, 2025, 3599, 20610, 2000, 6855, 1012, 2012, 1996, 6922, 2504, 2477, 2066, 13118, 1011, 1054, 15042, 1010, 13118, 1011, 1059, 2015, 1010, 7842, 13006, 1010, 1046, 16089, 4385, 2024, 2025, 1999, 1996, 8185, 1012, 2027, 2020, 3701, 16647, 2000, 5399, 5547, 1996, 2470, 2051, 1012, 1045, 2079, 3246, 2000, 2424, 2070, 2062, 2051, 2012, 1037, 2101, 2754, 1998, 5587, 1996, 3588, 9262, 25212, 14903, 1998, 2070, 2062, 6177, 1012, 12098, 8405, 14841, 24703, 2015, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1996, 25554, 2003, 4276, 2009, 1012, 1037, 3232, 3134, 3283, 1010, 1045, 2001, 4778, 2000, 3104, 1037, 25554, 2208, 1010, 1996, 2899, 17477, 2015, 6431, 1996, 6117, 3103, 1012, 2070, 2111, 1055, 13542, 6850, 1012, 2070, 2356, 2339, 1012, 2070, 2134, 1521, 1056, 2729, 1012, 1998, 2008, 1521, 1055, 2986, 1012, 2023, 2695, 3475, 1521, 1056, 2000, 8054, 3087, 2008, 1996, 25554, 2003, 2307, 2030, 2008, 2009, 1521, 1055, 2130, 2488, 2084, 2027, 2228, 1012, 5810, 1998, 3722, 1010, 1996, 25554, 2003, 4276, 2009, 1012, 4276, 1996, 3947, 2000, 2191, 2469, 2009, 2573, 1012, 4276, 1996, 2490, 1998, 4942, 5332, 4305, 9276, 1997, 1996, 6452, 1529, 2348, 1010, 1996, 2783, 2504, 1997, 1996, 6452, 1521, 1055, 5375, 2003, 5399, 8075, 1012, 25554, 2343, 10972, 10848, 11563, 2001, 3728, 10263, 2011, 7280, 1521, 1055, 19745, 22545, 2006, 13229, 8202, 3240, 1012, 4012, 1012, 2043, 2356, 2065, 1996, 2223, 4152, 3361, 2490, 2013, 1996, 6452, 1010, 10848, 11563, 5362, 2056, 1010, 1523, 2057, 2024, 2019, 9178, 2008, 3216, 9731, 1010, 2021, 2007, 1529, 1045, 2052, 2360, 2057, 2031, 2490, 2013, 1996, 6452, 1010, 2021, 2045, 1521, 1055, 2467, 2042, 2122, 11256, 2008, 2027, 1521, 2128, 3015, 2502, 14148, 2005, 2149, 1529, 1524, 22545, 7153, 1998, 17727, 20186, 2094, 10848, 11563, 2000, 3154, 1996, 2501, 2006, 2065, 1996, 25554, 4832, 2006, 2049, 2219, 2519, 13732, 1012, 2030, 4181, 2121, 5838, 1010, 1523, 2012, 1996, 2223, 2504, 1010, 2057, 2079, 1012, 2748, 1012, 1524, 1037, 2978, 13727, 1010, 2021, 5121, 24936, 1997, 5082, 2013, 10848, 11563, 1012, 2058, 1996, 2223, 1521, 1055, 4598, 1010, 2416, 2780, 2031, 6999, 1024, 1996, 6734, 2543, 1006, 2456, 1011, 6185, 1007, 1010, 5631, 14017, 1006, 2456, 1011, 6185, 1007, 1010, 6044, 24779, 2015, 1006, 2722, 1011, 6021, 1007, 1010, 5904, 12072, 1006, 2722, 1011, 5757, 1007, 1010, 11932, 19799, 1006, 2722, 1011, 5641, 1007, 1010, 1998, 5395, 27138, 1006, 2722, 1011, 5511, 1007, 1012, 1996, 27138, 2180, 1996, 2034, 2176, 3219, 1999, 2223, 2381, 1012, 1996, 5626, 5213, 1010, 4791, 1997, 2093, 3219, 1999, 1996, 2627, 2698, 3692, 1010, 2087, 3728, 1999, 2263, 1010, 7448, 2000, 16631, 2005, 1996, 2783, 2161, 1012, 10848, 11563, 5838, 2000, 4390, 4363, 2780, 10028, 16503, 2011, 13599, 1996, 25554, 2000, 1996, 11785, 1997, 2060, 8121, 1999, 2037, 3360, 1010, 4919, 8951, 1996, 5088, 1998, 1996, 6452, 1012, 4415, 1010, 2174, 1010, 2019, 18108, 2000, 4589, 2015, 3663, 1012, 1999, 2023, 2154, 1997, 2047, 2865, 1998, 2152, 2974, 3006, 2470, 1010, 1996, 3754, 2000, 19136, 6089, 1998, 9231, 8400, 4539, 9501, 2003, 24821, 2367, 2013, 2667, 2000, 4982, 1037, 2998, 2223, 2058, 2753, 2086, 3283, 1012, 2755, 2003, 1010, 1037, 3652, 4378, 2038, 2042, 2524, 2000, 2272, 2011, 2005, 1996, 25554, 1010, 10358, 2011, 1996, 2223, 1521, 1055, 5270, 2381, 1012, 1999, 2049, 15276, 2095, 1010, 1996, 2223, 2003, 2402, 1010, 2021, 2009, 1521, 1055, 2025, 2008, 2402, 1012, 2429, 2000, 25554, 5270, 2636, 2006, 2308, 19022, 19895, 3388, 7384, 2239, 4179, 1012, 4012, 1010, 1999, 1996, 2223, 1521, 1055, 2034, 2698, 3692, 1010, 1996, 2223, 1011, 2898, 5270, 2779, 2001, 1023, 1010, 21267, 1012, 1999, 1996, 2197, 2416, 2086, 1010, 1996, 2223, 1011, 2898, 2779, 2038, 2042, 1021, 1010, 25897, 1012, 1996, 2988, 2779, 2208, 5270, 2005, 1996, 2034, 2176, 3134, 1997, 1996, 2230, 2161, 2003, 1021, 1010, 20003, 1012, 2008, 1521, 1055, 2025, 3599, 3930, 1012, 1523, 2057, 1521, 2128, 3666, 1031, 5270, 3616, 1033, 2200, 5362, 1010, 1524, 2056, 15062, 3779, 1010, 2899, 17477, 2015, 2343, 1004, 6605, 4256, 1010, 2043, 1045, 3764, 2007, 2014, 2044, 6945, 6506, 6190, 1521, 23889, 2811, 3034, 2004, 3484, 3954, 1997, 1996, 2899, 16657, 1012, 1523, 1045, 2228, 1996, 2223, 2038, 4961, 1999, 2116, 3971, 2004, 2521, 2004, 2256, 5470, 2918, 1010, 2021, 2057, 1521, 2128, 2145, 8084, 1037, 2210, 2978, 2007, 12026, 2015, 1012, 1524, 3779, 1010, 2040, 2036, 4240, 1037, 3580, 1011, 3242, 1997, 15447, 2998, 1004, 4024, 1010, 1996, 6095, 2177, 2008, 7711, 1996, 16657, 1010, 17477, 2015, 1010, 2899, 15433, 1998, 1996, 2310, 21885, 2239, 2415, 1010, 2036, 4197, 2062, 2646, 23382, 5876, 2004, 2019, 3747, 2006, 5270, 1012, 1523, 1045, 2145, 2123, 1521, 1056, 2228, 2554, 2004, 1037, 2878, 2038, 2428, 14218, 1996, 2931, 8258, 2004, 2027, 2323, 1010, 1524, 2016, 2056, 1999, 3408, 1997, 3289, 2000, 3623, 1996, 25554, 1521, 1055, 5470, 2918, 1012, 1523, 1998, 2061, 2009, 1521, 1055, 2242, 2057, 1521, 2128, 7887, 2551, 2006, 1998, 2057, 1521, 2128, 8084, 2007, 1010, 1998, 2667, 2000, 2428, 2131, 1996, 4471, 2041, 2045, 1997, 1996, 5197, 1997, 2308, 1998, 2998, 1012, 2320, 2554, 2064, 2707, 3773, 2049, 20828, 1010, 1045, 2228, 2009, 1521, 1055, 2183, 2000, 4982, 1012, 1524, 3451, 5876, 2036, 2272, 2046, 2377, 1012, 2005, 1996, 2087, 2112, 1010, 2658, 2308, 3455, 2867, 2131, 3825, 2062, 6931, 2084, 2027, 2079, 1999, 2637, 1012, 2947, 1010, 2308, 1521, 1055, 4013, 3455, 2003, 2062, 14218, 1999, 2060, 3032, 1012, 1996, 25554, 1521, 1055, 2621, 7292, 6134, 2515, 3499, 2116, 2867, 2000, 5589, 1999, 7037, 8121, 1010, 2021, 2008, 3310, 2007, 1996, 18502, 1997, 3445, 4544, 3891, 1998, 7820, 10922, 1012, 2021, 2065, 1996, 25554, 2018, 1037, 3467, 6134, 1010, 2027, 3432, 2481, 1521, 1056, 5566, 1010, 2007, 3097, 2308, 1521, 1055, 8121, 2030, 2007, 1996, 6452, 1012, 6452, 5849, 2585, 8665, 11310, 2008, 2010, 2223, 1521, 1055, 5608, 2052, 13643, 4558, 1002, 4278, 2454, 2023, 2161, 1012, 2009, 1521, 1055, 1996, 4610, 1010, 5236, 1006, 1998, 1037, 17324, 2050, 2008, 4473, 6452, 5608, 2000, 2202, 1523, 5236, 15345, 1010, 1524, 2004, 6945, 6506, 6190, 2052, 2360, 1007, 1012, 6452, 2586, 2132, 5006, 4477, 3728, 2170, 1996, 1002, 4278, 2454, 3275, 1010, 1523, 28352, 17791, 1012, 1524, 9690, 1010, 1996, 2740, 1997, 1996, 25554, 2003, 5121, 5360, 2011, 1996, 3452, 2740, 1997, 2658, 3455, 1999, 1996, 2142, 2163, 1010, 2242, 2029, 2097, 5335, 1999, 1037, 2488, 4610, 1012, 15062, 3779, 2056, 3933, 12026, 2015, 2064, 2022, 1996, 4489, 1012, 1523, 2057, 2024, 5791, 2559, 2046, 2009, 1010, 1524, 2043, 2356, 2065, 1996, 17477, 2015, 2020, 6195, 1996, 5724, 1012, 1523, 2008, 9388, 4226, 2063, 12026, 2428, 2515, 2191, 1996, 4489, 2090, 2256, 2108, 1999, 1996, 2417, 1998, 2108, 1999, 1996, 2304, 1012, 2061, 2057, 2031, 2042, 7887, 3331, 2007, 2350, 11578, 2000, 2156, 2065, 2057, 2064, 2131, 1037, 9388, 4226, 2063, 3066, 1012, 1524, 3779, 2036, 5927, 6945, 6506, 6190, 1521, 3484, 6095, 1997, 1996, 16657, 2004, 1037, 4606, 4919, 2005, 1996, 17477, 2015, 6329, 1012, 1523, 1996, 5053, 2055, 2054, 2057, 1521, 2128, 2725, 2182, 2003, 2057, 1521, 2128, 2183, 2000, 2022, 2583, 2000, 17704, 12586, 1996, 16657, 1998, 1996, 17477, 2015, 2067, 2362, 1010, 2004, 2521, 2004, 12026, 4341, 1010, 2004, 2521, 2004, 2130, 2108, 2583, 2000, 5271, 14555, 1012, 1524, 2416, 1997, 1996, 2260, 2783, 25554, 2780, 2031, 7264, 2007, 6452, 6095, 2967, 1012, 2145, 1529, 7543, 3904, 1997, 2023, 5609, 2000, 2017, 1012, 2009, 2035, 3310, 2091, 2000, 1996, 4031, 1010, 2157, 1029, 2065, 2017, 1521, 2128, 1037, 5470, 1997, 2273, 1521, 1055, 3455, 1010, 2009, 1521, 1055, 2763, 2025, 1037, 2048, 1011, 2126, 2395, 2646, 5470, 9527, 1997, 2308, 1521, 1055, 3455, 1012, 2168, 4368, 1010, 2367, 2399, 1529, 1996, 2364, 5860, 2890, 9739, 5666, 2746, 1999, 5188, 2964, 1012, 2273, 1521, 1055, 3455, 2003, 2062, 5188, 3973, 14036, 1999, 5688, 2000, 2236, 2529, 5188, 9859, 1012, 2023, 2064, 1521, 1056, 2022, 5275, 1012, 2025, 2000, 2360, 2308, 1521, 1055, 3455, 3475, 1521, 1056, 5188, 3973, 2004, 24826, 15683, 1999, 2049, 2219, 2126, 1010, 2074, 2200, 2235, 1999, 7831, 2000, 1037, 4770, 1997, 1996, 2088, 1521, 1055, 4602, 7576, 1012, 2021, 5188, 2964, 2003, 2025, 1037, 2391, 2008, 2323, 2022, 4208, 2588, 2004, 1037, 3737, 1997, 1996, 25554, 2208, 4312, 1012, 1999, 2755, 1010, 2009, 1521, 1055, 5399, 15818, 2000, 5136, 1996, 22617, 1997, 1996, 25554, 9578, 2241, 2006, 1996, 2801, 2008, 6452, 1011, 15977, 5188, 2964, 27594, 2015, 2017, 2013, 3666, 1996, 2308, 1521, 1055, 2208, 1012, 2065, 1996, 2208, 1997, 3455, 2003, 2035, 2055, 24654, 6834, 1998, 5188, 8658, 2015, 1010, 2059, 2017, 4995, 1521, 1056, 10439, 2890, 7405, 3436, 2030, 2893, 1996, 16371, 6651, 1997, 1996, 4368, 1010, 2172, 2625, 2339, 2111, 5566, 1999, 1996, 2034, 2173, 1012, 2061, 1996, 25554, 2003, 2025, 2005, 2017, 1012, 2009, 2987, 1521, 1056, 3043, 1012, 1996, 25554, 3640, 2019, 4522, 13307, 2005, 2216, 13459, 2055, 3455, 1999, 3971, 2008, 2342, 2078, 1521, 1056, 3043, 2000, 3071, 1012, 1996, 25554, 2003, 2005, 2619, 1529, 2005, 2402, 3057, 2000, 8754, 21466, 1037, 2293, 2005, 1996, 2208, 2007, 1996, 24600, 3125, 1997, 2652, 2012, 1996, 3284, 2658, 2504, 1999, 1996, 2142, 2163, 1529, 2005, 4712, 1997, 1996, 4368, 2006, 1037, 4969, 2504, 2000, 2119, 2273, 1998, 2308, 1010, 1998, 2025, 2074, 2408, 8578, 1010, 3837, 1010, 11822, 1998, 18240, 1012, 2083, 2035, 1996, 11785, 1010, 6256, 1998, 3652, 20398, 1010, 1996, 25554, 2003, 4276, 1996, 3947, 1998, 4276, 1996, 3739, 1012, 2005, 1996, 3618, 2204, 1997, 1996, 2208, 1997, 3455, 1010, 1996, 25554, 2003, 4276, 2009, 1012, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 1028, 2044, 1996, 2208, 1045, 3230, 1010, 1045, 3764, 2000, 1037, 3232, 25554, 2867, 1010, 22767, 11608, 1998, 26194, 20667, 1997, 1996, 2899, 17477, 2015, 1998, 9092, 2317, 1997, 1996, 6117, 3103, 1010, 2055, 1996, 2535, 2037, 2223, 3248, 1999, 1996, 20986, 5605, 1997, 1996, 2208, 1997, 3455, 1010, 2926, 2005, 3057, 1012, 1996, 3114, 1996, 25554, 2003, 7989, 2038, 2498, 2000, 2079, 2007, 1996, 4610, 1998, 2498, 2000, 2079, 2007, 1037, 2668, 7393, 2102, 2005, 5188, 2964, 1012, 1045, 5959, 3666, 3455, 2006, 2035, 3798, 1010, 2013, 1996, 6452, 2091, 2000, 10517, 8121, 2005, 2152, 2082, 2545, 1012, 1996, 3437, 2003, 3722, 2428, 1529, 1996, 4031, 2404, 2041, 2011, 1996, 25554, 2003, 1037, 6659, 4031, 1529, 1012, 3722, 2004, 2008, 1012, 2004, 1037, 3455, 16405, 15061, 1010, 1045, 2031, 2699, 2195, 2335, 2000, 3422, 1996, 25554, 1529, 2069, 2000, 2022, 17733, 2012, 1996, 6659, 3455, 2108, 2209, 1012, 2153, 1010, 2009, 2003, 2025, 1996, 3768, 1997, 9475, 25367, 24654, 5705, 1010, 2021, 1037, 4945, 2000, 2377, 2307, 3455, 2012, 1996, 8050, 2504, 1012, 2065, 1996, 4031, 3475, 1521, 1056, 2307, 1010, 11501, 2063, 2097, 4965, 1529, 1012, 2053, 3043, 2129, 2092, 2017, 3006, 1996, 4031, 1012, 4172, 2025, 2008, 2023, 6685, 2003, 2081, 2182, 4919, 1010, 2021, 2009, 2003, 5399, 2691, 2005, 2111, 2000, 7475, 2008, 5803, 2867, 1013, 2780, 8327, 2488, 8050, 2015, 2084, 6452, 2867, 1010, 2030, 2008, 25554, 2545, 2079, 1996, 2168, 1012, 2174, 1010, 2625, 5188, 2515, 2025, 5020, 2062, 24670, 2614, 1012, 1996, 6452, 2003, 2025, 2069, 3455, 2012, 2049, 2087, 5188, 1010, 2021, 2062, 14780, 1010, 2009, 2003, 2036, 3455, 2012, 2049, 2087, 24670, 2614, 1012, 2004, 2017, 2360, 1010, 1996, 18111, 1996, 6452, 2038, 2003, 1516, 2017, 2064, 3422, 2308, 5566, 1012, 2021, 2005, 2087, 1010, 2870, 2443, 1010, 2027, 2052, 9544, 2000, 3422, 1996, 2190, 5566, 1012, 1998, 2008, 2965, 1996, 6452, 1012, 6754, 2024, 1996, 5270, 4481, 2445, 1523, 3825, 5270, 1524, 2030, 2069, 5270, 1029, 1996, 25554, 3957, 2185, 1037, 2843, 1997, 9735, 1012, 14833, 20554, 2100, 15239, 1045, 1521, 2310, 2042, 6575, 1998, 3752, 4790, 2107, 2004, 2023, 1998, 2009, 1521, 1055, 2467, 2273, 2040, 4025, 2000, 5223, 25554, 1012, 1045, 1521, 2310, 2467, 2245, 6452, 2003, 2019, 13059, 4440, 1010, 1996, 2200, 3114, 2339, 2779, 2273, 2293, 2009, 1012, 2138, 2009, 1521, 1055, 2035, 2027, 1521, 2310, 2288, 1012, 1045, 3473, 2039, 1999, 1037, 2155, 2040, 7459, 3455, 1010, 1045, 2001, 2196, 1996, 2028, 2000, 5376, 2039, 1998, 2091, 2043, 1037, 12043, 24654, 5705, 1012, 2061, 2054, 1029, 1045, 7714, 2228, 2009, 1521, 1055, 17203, 1012, 2182, 3310, 25554, 1998, 1045, 2293, 2009, 2062, 2084, 2505, 1012, 2065, 2009, 3844, 2015, 2091, 1010, 1045, 2097, 2468, 1996, 10469, 2296, 2273, 2052, 2293, 2000, 6616, 2021, 2064, 1521, 1056, 1012, 6485, 6971, 6485, 6971, 2055, 13843, 3606, 2055, 2009, 1012, 5658, 1010, 2899, 16657, 9927, 1010, 10978, 2995, 6806, 7361, 2897, 1011, 1011, 2206, 1996, 1040, 1012, 1039, 1012, 4013, 3455, 6329, 2144, 1996, 17233, 1998, 5266, 2068, 1999, 9927, 2433, 2144, 2289, 1011, 1011, 5448, 1010, 4106, 1010, 20868, 2890, 28943, 5897, 1010, 4620, 1010, 2678, 1010, 7636, 1010, 7760, 18471, 2015, 1010, 2739, 1010, 2678, 1010 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 3963, 19841, 2475, 1008, 1048, 1008, 1008, 1016, 1009, 1048, 1008, 1049, 1011, 1017, 1008, 1048, 1009, 1017, 1008, 1049, 1011, 1015, 23277, 2102, 1049, 1029, 12904, 16086, 1008, 1048, 1008, 1008, 1016, 1009, 1048, 1009, 1017, 2424, 1996, 2353, 13819, 1997, 19015, 2475, 1008, 1049, 1008, 1008, 1017, 1008, 1058, 1008, 1008, 1017, 1009, 1049, 1008, 1008, 1017, 1008, 1058, 1011, 1018, 1008, 1049, 1008, 1008, 1016, 1008, 1058, 1008, 1008, 1017, 1011, 1016, 1008, 1049, 1008, 1008, 1016, 1008, 1058, 1008, 1008, 1016, 1011, 9176, 1008, 1049, 1008, 1058, 1008, 1008, 1016, 1011, 1058, 1008, 1008, 1017, 23277, 2102, 1058, 1012, 14506, 16703, 1008, 1049, 1008, 1008, 1017, 1011, 2484, 1008, 1049, 1008, 1008, 1016, 1011, 1020, 21032, 19342, 2629, 1008, 1042, 1008, 1008, 1017, 1008, 1054, 1008, 1008, 1017, 1009, 1016, 1008, 1042, 1008, 1054, 1008, 1008, 1017, 1009, 17262, 2487, 1008, 1054, 1008, 1008, 1017, 23277, 2102, 1042, 1012, 11518, 26187, 1008, 1042, 1008, 1008, 1016, 1008, 1054, 1008, 1008, 1017, 1009, 1016, 1008, 1054, 1008, 1008, 1017, 2424, 1996, 2353, 13819, 1997, 1016, 1008, 1052, 1008, 1008, 1020, 1009, 27954, 1008, 1052, 1008, 1008, 1019, 1009, 2403, 1008, 1052, 1008, 1008, 1018, 1009, 1052, 1008, 1008, 1016, 1009, 4090, 2581, 1008, 1052, 1009, 1016, 23277, 2102, 1052, 1012, 11212, 1008, 1052, 1008, 1008, 1017, 1009, 2355, 2692, 1008, 1052, 1008, 1008, 1016, 1009, 27954, 1008, 1052, 2054, 2003, 1996, 2117, 13819, 1997, 17403, 2549, 1008, 1044, 1008, 1008, 1019, 1009, 1018, 1008, 1044, 1008, 1008, 1018, 1011, 2340, 1008, 1044, 1008, 1008, 1016, 1011, 6282, 2575, 19841, 2509, 1008, 1044, 23277, 2102, 1044, 1029, 26257, 17914, 1008, 1044, 1008, 1008, 1017, 1009, 4466, 1008, 1044, 1008, 1008, 1016, 1011, 2570, 2424, 1996, 2353, 13819, 1997, 1011, 25186, 23833, 1008, 1043, 1008, 1008, 1017, 1011, 24426, 22025, 1008, 1043, 1008, 1008, 1016, 23277, 2102, 1043, 1012, 1011, 27878, 16068, 2575, 2054, 2003, 1996, 2034, 13819, 1997, 1011, 18540, 16086, 1008, 1048, 1008, 1062, 1011, 19540, 2575, 1008, 1048, 1011, 1062, 23277, 2102, 1062, 1029, 1011, 18540, 16086, 1008, 1048, 1011, 1015, 2424, 1996, 2353, 13819, 1997, 1011, 4700, 16068, 2581, 1008, 1044, 1008, 1008, 1019, 1009, 8574, 1008, 1044, 1008, 1008, 1016, 1009, 1018, 1008, 1044, 1011, 1020, 23277, 2102, 1044, 1012, 1011, 26267, 2683, 20958, 2692, 1008, 1044, 1008, 1008, 1016, 2054, 2003, 1996, 2353, 13819, 1997, 1011, 1016, 1008, 1059, 1008, 1008, 1019, 1011, 2321, 1008, 1059, 1008, 1008, 1018, 1009, 16798, 2509, 1008, 1059, 1008, 1008, 1017, 1011, 5179, 2683, 2581, 2575, 1008, 1059, 1008, 1008, 1016, 1009, 1017, 1029, 1011, 6036, 1008, 1059, 1008, 1008, 1016, 1011, 9475, 1008, 1059, 1009, 12606, 22025, 2054, 2003, 1996, 2353, 13819, 1997, 1017, 1008, 1040, 1008, 1008, 1017, 1008, 1050, 1008, 1008, 1016, 1009, 2484, 1008, 1040, 1008, 1008, 1017, 1008, 1050, 1011, 20003, 1008, 1040, 1008, 1008, 1017, 1011, 2570, 1008, 1040, 1008, 1008, 1016, 1008, 1050, 1008, 1008, 1016, 1009, 2410, 1008, 1040, 1008, 1050, 1008, 1008, 1016, 1009, 1050, 1008, 1008, 1016, 1009, 1016, 23277, 2102, 1040, 1029, 2324, 1008, 1050, 1008, 1008, 1016, 1009, 14748, 1008, 1050, 1011, 12963, 2620, 2054, 2003, 1996, 2117, 13819, 1997, 6390, 1008, 1040, 1008, 1008, 1017, 1009, 1018, 1008, 1040, 1008, 1008, 1016, 1008, 1055, 1011, 5179, 1008, 1040, 1008, 1008, 1016, 1011, 1017, 1008, 1040, 1008, 1055, 1009, 1019, 1008, 1040, 1011, 1016, 1008, 1055, 1009, 19594, 23277, 2102, 1040, 1029, 4413, 2575, 1008, 1040, 1009, 1022, 1008, 1055, 1011, 11176, 2054, 2003, 1996, 2117, 13819, 1997, 6306, 24087, 1008, 1040, 1008, 1008, 1017, 1009, 23628, 2581, 2475, 1008, 1040, 1009, 1017, 1029, 12104, 2581, 2683, 14142, 1008, 1040, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 25162, 21486, 1008, 1056, 1008, 1008, 1018, 1009, 1018, 1008, 1056, 1008, 1008, 1017, 1011, 4185, 2581, 21486, 1008, 1056, 1011, 1016, 23277, 2102, 1056, 1029, 1011, 26499, 28311, 2475, 1008, 1056, 1008, 1008, 1016, 1009, 2484, 1008, 1056, 2424, 1996, 2034, 13819, 1997, 1011, 23477, 1008, 1054, 1008, 1008, 1016, 1008, 1058, 1011, 1021, 1008, 1054, 1008, 1058, 1008, 1008, 1016, 1011, 4029, 22932, 1008, 1058, 1008, 1008, 1016, 1009, 1058, 23277, 2102, 1054, 1012, 1011, 25256, 2620, 1008, 1054, 1008, 1058, 1011, 1021, 1008, 1058, 1008, 1008, 1016, 2054, 2003, 1996, 2353, 13819, 1997, 4720, 1008, 1049, 1008, 1008, 1019, 1008, 1051, 1009, 4413, 1008, 1049, 1008, 1008, 1019, 1011, 2340, 1008, 1049, 1008, 1008, 1017, 1009, 1049, 1008, 1008, 1016, 1008, 1051, 1009, 1016, 1008, 1049, 1008, 1051, 1009, 1018, 1008, 1049, 1009, 5989, 1008, 1051, 23277, 2102, 1049, 1029, 21036, 2692, 1008, 1049, 1008, 1008, 1016, 1008, 1051, 1009, 22898, 2692, 1008, 1049, 1008, 1008, 1016, 1011, 5764, 2424, 1996, 2353, 13819, 1997, 1011, 6079, 2683, 19481, 2487, 1008, 1050, 1008, 1008, 1017, 1009, 16621, 2683, 1008, 1050, 1008, 1008, 1016, 1009, 23768, 1008, 1050, 1009, 1016, 23277, 2102, 1050, 1012, 1011, 4261, 16048, 10790, 2575, 2054, 2003, 1996, 2034, 13819, 1997, 1011, 1050, 1008, 1008, 1018, 1011, 1050, 1008, 1008, 1017, 1011, 13285, 2692, 2683, 1008, 1050, 1011, 4464, 2620, 20842, 1029, 1011, 1018, 1008, 1050, 1008, 1008, 1017, 1011, 1017, 1008, 1050, 1008, 1008, 1016, 1011, 13285, 2692, 2683, 2054, 2003, 1996, 13819, 1997, 1011, 3938, 12740, 22022, 1008, 1040, 1008, 1061, 1011, 27908, 2683, 27531, 1008, 1040, 23277, 2102, 1061, 1029, 1011, 3938, 12740, 22022, 1008, 1040, 2054, 2003, 1996, 2034, 13819, 1997, 10977, 19317, 2683, 1008, 1038, 1008, 1008, 1018, 1009, 21757, 2692, 22275, 23277, 2102, 1038, 1029, 5824, 26976, 2683, 16048, 1008, 1038, 1008, 1008, 1017, 2424, 1996, 2117, 13819, 1997, 5139, 1008, 1055, 1008, 1008, 1016, 1009, 7886, 14142, 1008, 1055, 1011, 1015, 23277, 2102, 1055, 1012, 10715, 2054, 2003, 1996, 13819, 1997, 5018, 23352, 1008, 1057, 1008, 1008, 1017, 1011, 23980, 2692, 2581, 2620, 2620, 1029, 3429, 19317, 2629, 1008, 1057, 1008, 1008, 1016, 2424, 1996, 2117, 13819, 1997, 1020, 1008, 1039, 1008, 1008, 1017, 1008, 1040, 1008, 1008, 1017, 1008, 1047, 1009, 1039, 1008, 1008, 1017, 1008, 1040, 1008, 1047, 1009, 1020, 1008, 1039, 1008, 1008, 1016, 1008, 1040, 1008, 1047, 1011, 28288, 1008, 1039, 1008, 1040, 1008, 1008, 1017, 1009, 1039, 1008, 1040, 1008, 1008, 1016, 1008, 1047, 1009, 24568, 1008, 1039, 1008, 1040, 1008, 1047, 23277, 2102, 1040, 1012, 4029, 1008, 1039, 1008, 1008, 1017, 1008, 1040, 1008, 1047, 1011, 5585, 27009, 1008, 1039, 1008, 1040, 1009, 1016, 1008, 1039, 1008, 1047, 2054, 2003, 1996, 13819, 1997, 1011, 24232, 2549, 1008, 1042, 1008, 1008, 1016, 1008, 1044, 1008, 1008, 1017, 1009, 3938, 1008, 1042, 1008, 1008, 1016, 1008, 1046, 1011, 5824, 1008, 1042, 1008, 1044, 1008, 1008, 1017, 1011, 1016, 1008, 1044, 1008, 1008, 1017, 1008, 1046, 1009, 1017, 1008, 1044, 1008, 1008, 1016, 1008, 1046, 1011, 6070, 1008, 1046, 23277, 2102, 1046, 1029, 3938, 1008, 1042, 1008, 1008, 1016, 1011, 1016, 1008, 1044, 1008, 1008, 1017, 1009, 1017, 1008, 1044, 1008, 1008, 1016, 1011, 6070, 2424, 1996, 2353, 13819, 1997, 29562, 2683, 2683, 28756, 1008, 1037, 1008, 1008, 1017, 1009, 6109, 1008, 1037, 1008, 1008, 1016, 1009, 1017, 1008, 1037, 1011, 7886, 1012, 2268, 2683, 2581, 2683, 2575, 2424, 1996, 2117, 13819, 1997, 4229, 26224, 2683, 1008, 1047, 1008, 1008, 1017, 1009, 1016, 1008, 1047, 1008, 1008, 1016, 1011, 4720, 22907, 1008, 1047, 1011, 1015, 23277, 2102, 1047, 1012, 11816, 2683, 2683, 2549, 1008, 1047, 1009, 1018, 2424, 1996, 2353, 13819, 1997, 1011, 4868, 23499, 1008, 1055, 1008, 1008, 1019, 1011, 4413, 1008, 1055, 1008, 1008, 1017, 1011, 13739, 12521, 1008, 1055, 1008, 1008, 1016, 23277, 2102, 1055, 1012, 1011, 24232, 22022, 2692, 1008, 1055, 1008, 1008, 1016, 1011, 22898, 2424, 1996, 2353, 13819, 1997, 1016, 1008, 1044, 1008, 1008, 1018, 1009, 8698, 1008, 1044, 1008, 1008, 1017, 1011, 27200, 23352, 2629, 1008, 1044, 1008, 1008, 1016, 23277, 2102, 1044, 1012, 4466, 1008, 1044, 1009, 12875, 2692, 2054, 2003, 1996, 13819, 1997, 2570, 1008, 1050, 1008, 1008, 1016, 1011, 6445, 2620, 1008, 1050, 1011, 4749, 2620, 21926, 1029, 4008, 1008, 1050, 1011, 6445, 2620, 2054, 2003, 1996, 2034, 13819, 1997, 19627, 1008, 1046, 1008, 1053, 1008, 1057, 1008, 1062, 1009, 1046, 1008, 1057, 1008, 1008, 1016, 1009, 25534, 2620, 1008, 1046, 1008, 1057, 1008, 1062, 1009, 15471, 1008, 1053, 1008, 1057, 1008, 1008, 1016, 1008, 1062, 1009, 1016, 1008, 1057, 1008, 1062, 23277, 2102, 1053, 1029, 19627, 1008, 1046, 1008, 1057, 1008, 1062, 1009, 15471, 1008, 1057, 1008, 1008, 1016, 1008, 1062, 2424, 1996, 2353, 13819, 1997, 1016, 1008, 1060, 1008, 1008, 1019, 1011, 10550, 22025, 2487, 1008, 1060, 1008, 1008, 1017, 1011, 18171, 1008, 1060, 1008, 1008, 1016, 1011, 22018, 1008, 1060, 23277, 2102, 1060, 1012, 6036, 1008, 1060, 1008, 1008, 1016, 1011, 4185, 20958, 20842, 2424, 1996, 2117, 13819, 1997, 1011, 17295, 2683, 2620, 1008, 1055, 1008, 1008, 1017, 1009, 20304, 2692, 1008, 1055, 1012, 1011, 24841, 27814, 2620, 1008, 1055, 2054, 2003, 1996, 2353, 13819, 1997, 1020, 1008, 1045, 1008, 1008, 1018, 1008, 1054, 1011, 11899, 24096, 1008, 1045, 1008, 1008, 1017, 1009, 27173, 2683, 1008, 1045, 1008, 1008, 1016, 1009, 1022, 1008, 1045, 1008, 1054, 23277, 2102, 1045, 1029, 14748, 1008, 1045, 1008, 1054, 1011, 6146, 17914, 2575, 2424, 1996, 2117, 13819, 1997, 1011, 1042, 1008, 1045, 1008, 1008, 1016, 1008, 1062, 1008, 1008, 1017, 1009, 1018, 1008, 1042, 1008, 1045, 1008, 1008, 1016, 1011, 4008, 1008, 1042, 1008, 1045, 1008, 1062, 1008, 1008, 1016, 1009, 1017, 1008, 1042, 1008, 1045, 1008, 1062, 1009, 1042, 1008, 1062, 1008, 1008, 1017, 1011, 4805, 2575, 1008, 1045, 1008, 1008, 1016, 1009, 1016, 1008, 1045, 1008, 1062, 1008, 1008, 1017, 1009, 1017, 1008, 1062, 1008, 1008, 1017, 23277, 2102, 1045, 1012, 1011, 1016, 1008, 1042, 1008, 1062, 1008, 1008, 1017, 1009, 1022, 1008, 1042, 1011, 6109, 2475, 21032, 1011, 14010, 12521, 2692, 1008, 1048, 1008, 1008, 1017, 1011, 1048, 1008, 1008, 1016, 1011, 5139, 21472, 2692, 2581, 2007, 4847, 2000, 1048, 1012, 1011, 4261, 2620, 21619, 2692, 1008, 1048, 1008, 1008, 1016, 1011, 1016, 1008, 1048, 21032, 1016, 1008, 1043, 1008, 1008, 1016, 1009, 18512, 17788, 1008, 1043, 1009, 23532, 2581, 2475, 23277, 2102, 1043, 1012, 1018, 1008, 1043, 1009, 18512, 17788, 21032, 1011, 11212, 1008, 1049, 1008, 1008, 1016, 1011, 4464, 1008, 1049, 1009, 4466, 19961, 2475, 23277, 2102, 1049, 1012, 1011, 17295, 1008, 1049, 1011, 4464, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 1016, 1008, 1045, 1008, 1008, 1019, 1008, 1056, 1008, 1059, 1011, 21777, 2581, 1008, 1045, 1008, 1008, 1016, 1008, 1056, 1008, 1059, 1011, 1045, 1008, 1008, 1016, 1008, 1056, 1009, 1045, 1008, 1056, 1008, 1059, 1011, 1016, 1008, 1045, 1008, 1056, 1011, 6282, 1008, 1045, 1011, 1017, 1008, 1056, 23277, 2102, 1045, 1029, 1011, 2871, 1008, 1045, 1008, 1008, 1017, 1008, 1056, 1008, 1059, 1011, 5401, 16932, 1008, 1056, 1008, 1059, 1011, 1016, 1008, 1056, 2054, 2003, 1996, 2117, 13819, 1997, 1011, 18582, 1008, 1042, 1008, 1008, 1017, 1008, 1051, 1011, 2871, 1008, 1042, 1008, 1008, 1017, 1011, 1016, 1008, 1042, 1008, 1008, 1016, 1008, 1051, 1011, 1017, 1008, 1042, 1008, 1051, 1011, 1042, 1009, 2410, 1008, 1051, 1011, 2385, 23277, 2102, 1042, 1029, 1011, 7886, 2549, 1008, 1042, 1008, 1051, 1011, 11212, 1008, 1042, 1011, 1018, 1008, 1051, 21032, 1011, 5989, 1008, 1038, 1008, 1040, 1008, 1044, 1008, 1008, 1016, 1009, 15028, 2475, 1008, 1038, 1008, 1040, 1009, 14078, 2487, 1008, 1038, 1008, 1044, 1009, 17317, 1008, 1038, 1009, 1016, 1008, 1040, 1008, 1044, 1008, 1008, 1017, 2007, 4847, 2000, 1044, 1012, 1011, 19955, 1008, 1038, 1008, 1040, 1008, 1044, 1009, 14078, 2487, 1008, 1038, 1009, 1020, 1008, 1040, 1008, 1044, 1008, 1008, 1016, 2054, 2003, 1996, 2117, 13819, 1997, 4724, 23777, 2683, 1008, 1052, 1008, 1008, 1017, 1009, 1019, 1008, 1052, 1008, 1008, 1016, 1009, 5139, 1008, 1052, 1011, 5141, 2620, 1029, 13539, 2575, 22022, 1008, 1052, 1009, 2184, 2424, 1996, 2353, 13819, 1997, 1011, 28818, 1008, 1043, 1008, 1008, 1020, 1009, 1020, 1008, 1043, 1008, 1008, 1017, 1011, 26953, 23352, 1008, 1043, 1008, 1008, 1016, 1012, 1011, 4131, 11387, 1008, 1043, 1008, 1008, 1017, 1009, 4029, 2424, 1996, 2353, 13819, 1997, 15017, 23499, 2581, 1008, 1047, 1008, 1008, 1018, 1008, 1062, 1008, 1008, 1016, 1011, 1016, 1008, 1047, 1008, 1008, 1018, 1011, 2184, 1008, 1047, 1008, 1008, 1016, 1008, 1062, 1009, 1016, 1008, 1047, 1008, 1008, 1016, 1011, 6365, 1008, 1062, 1008, 1008, 1016, 1011, 1062, 23277, 2102, 1047, 1012, 19342, 23352, 22407, 1008, 1047, 1008, 1062, 1008, 1008, 1016 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1061, 1027, 1011, 1019, 1008, 1048, 1011, 2324, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1048, 1998, 4464, 2575, 1029, 1020, 6814, 2184, 1008, 1052, 1011, 10545, 2629, 1027, 1011, 2321, 1008, 1052, 1011, 2184, 1008, 1052, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1052, 1998, 21211, 2683, 1012, 6191, 6814, 1011, 2656, 1008, 1048, 1011, 1021, 1008, 1048, 1009, 5585, 2575, 1027, 1011, 8746, 27009, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 4293, 17788, 1998, 1048, 1029, 12862, 6814, 1011, 1016, 1008, 1039, 1011, 26637, 1027, 1011, 1060, 1010, 22115, 1008, 1060, 1011, 4229, 26224, 1027, 22777, 1008, 1060, 1009, 1019, 1008, 1039, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1060, 1998, 2403, 1012, 2403, 2292, 1044, 1006, 1046, 1007, 1027, 1021, 1008, 1046, 1008, 1008, 1016, 1009, 8698, 1008, 1046, 1011, 3963, 2475, 1008, 1046, 1011, 1018, 1008, 1046, 1008, 1008, 1016, 1009, 3486, 2683, 1008, 1046, 1012, 2292, 1051, 2022, 1044, 1006, 1011, 1020, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1020, 1998, 1051, 1029, 1020, 2292, 1058, 1006, 1045, 1007, 1027, 1020, 1012, 2292, 1047, 1006, 1060, 1007, 1027, 1060, 1009, 1019, 1012, 2292, 1056, 1006, 1059, 1007, 1027, 1018, 1008, 1047, 1006, 1059, 1007, 1011, 1017, 1008, 1058, 1006, 1059, 1007, 1012, 2292, 1040, 2022, 1056, 1006, 1016, 1007, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1040, 1998, 7558, 1012, 2184, 6814, 1011, 1016, 1008, 1040, 1027, 1011, 1019, 1008, 1040, 1009, 14378, 1012, 2292, 1056, 1027, 14748, 23352, 2509, 1009, 1011, 16065, 2683, 21619, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1040, 1998, 1056, 1012, 4724, 2292, 1057, 1027, 10630, 2692, 2549, 1009, 1011, 5824, 16932, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1057, 1998, 7287, 1029, 7287, 6814, 1011, 27200, 2581, 1027, 2423, 1008, 1051, 1011, 21005, 20958, 1012, 6814, 1014, 1027, 1011, 3486, 1008, 1058, 1009, 1051, 1009, 19446, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 1058, 1998, 5018, 1012, 2382, 2292, 1053, 1006, 1062, 1007, 1027, 1062, 1011, 2260, 1012, 2292, 1047, 2022, 1053, 1006, 2321, 1007, 1012, 6814, 1011, 1016, 1011, 6535, 1027, 1011, 1047, 1008, 1049, 1012, 2292, 1060, 1027, 1011, 8746, 2581, 1009, 11118, 2487, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1049, 1998, 1060, 1029, 2676, 2292, 1037, 2022, 1017, 1013, 1006, 1006, 1011, 2340, 1007, 1013, 1006, 4185, 16147, 22907, 1013, 1006, 1011, 4464, 1007, 1007, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 6163, 1998, 1037, 1029, 6163, 2292, 1055, 2022, 1006, 1011, 6391, 16703, 2620, 1007, 1013, 1006, 1011, 6146, 2475, 1007, 1011, 1006, 1016, 1009, 1006, 1011, 1015, 1007, 1013, 1006, 1006, 1011, 1017, 1007, 1013, 1006, 1011, 2184, 1007, 1007, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 24841, 1998, 1055, 1029, 2385, 2292, 1062, 1006, 1059, 1007, 1027, 1016, 1008, 1059, 1011, 1015, 1012, 6814, 1040, 1027, 1011, 1014, 1009, 1015, 1012, 2292, 1061, 2022, 1062, 1006, 1040, 1007, 1012, 2292, 1060, 2022, 1006, 1011, 29567, 2692, 1007, 1013, 1006, 1011, 2753, 1007, 1011, 1061, 1013, 1006, 1011, 1019, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1020, 1998, 1060, 1029, 1020, 2292, 1043, 2022, 1011, 2385, 1009, 29140, 1013, 8746, 1011, 17943, 1013, 1006, 1011, 2654, 1007, 1012, 6814, 1048, 1027, 1019, 1008, 1049, 1009, 1017, 1010, 1019, 1008, 1048, 1011, 1019, 1011, 2184, 1027, 1011, 1016, 1008, 1049, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1043, 1998, 1048, 1029, 1017, 2292, 1053, 1006, 1044, 1007, 1027, 1011, 1044, 1009, 1015, 1012, 2292, 1057, 1006, 1062, 1007, 1027, 3590, 1008, 1062, 1011, 4029, 1012, 2292, 1048, 1027, 1011, 2871, 1009, 4601, 1012, 2292, 1055, 1006, 1060, 1007, 1027, 1048, 1008, 1057, 1006, 1060, 1007, 1009, 1017, 1008, 1053, 1006, 1060, 1007, 1012, 2292, 1050, 2022, 1055, 1006, 1019, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 2403, 1998, 1050, 1029, 2403, 2292, 1042, 1006, 1038, 1007, 1027, 1016, 1008, 1038, 1008, 1008, 1017, 1009, 5179, 1008, 1038, 1008, 1008, 1016, 1009, 4749, 1008, 1038, 1009, 4464, 1012, 2292, 1043, 2022, 1042, 1006, 1011, 2676, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1020, 1998, 1043, 1029, 1020, 6814, 1014, 1027, 2340, 1008, 1039, 1011, 2459, 1011, 4229, 1012, 6814, 1011, 2260, 1008, 1061, 1009, 5354, 2629, 1027, 1039, 1008, 1061, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1061, 1998, 1021, 1012, 1021, 2292, 1057, 2022, 2654, 1013, 1006, 1011, 2260, 1007, 1008, 1017, 1013, 1006, 1011, 1015, 1007, 1012, 2292, 1053, 2022, 1057, 1009, 1006, 1011, 1015, 1011, 1006, 1011, 1017, 1009, 1015, 1007, 1007, 1013, 1015, 1012, 2292, 1060, 2022, 1006, 1011, 1018, 1007, 1013, 1006, 1006, 1011, 1021, 1007, 1013, 1006, 28469, 2575, 1013, 1053, 1007, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1060, 1998, 2656, 1029, 2656, 2292, 1062, 1027, 4261, 1009, 1011, 3486, 1012, 6814, 1011, 1019, 1008, 1051, 1011, 2676, 1027, 1011, 1062, 1012, 2292, 1053, 2022, 1006, 1051, 1011, 1011, 1018, 1007, 1013, 1006, 1006, 1011, 1015, 1007, 1013, 3486, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1019, 1998, 1053, 1029, 1019, 6814, 1011, 1020, 1027, 1054, 1010, 1017, 1008, 1042, 1009, 1016, 1008, 1054, 1027, 16202, 1011, 5585, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 15170, 2581, 2620, 1998, 1042, 1012, 4805, 2292, 1062, 1006, 1048, 1007, 1027, 1021, 1008, 1048, 1008, 1008, 1017, 1011, 1016, 1008, 1048, 1008, 1008, 1016, 1009, 1017, 1008, 1048, 1009, 1015, 1012, 2292, 1046, 2022, 1062, 1006, 1018, 1007, 1012, 2292, 1052, 1006, 1037, 1007, 1027, 14748, 2692, 1008, 1037, 1011, 19540, 2581, 1012, 2292, 1059, 2022, 1052, 1006, 1017, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1046, 1998, 1059, 1029, 2410, 6814, 12567, 1027, 1020, 1008, 1055, 1009, 8746, 1012, 2292, 1054, 2022, 1006, 1011, 1022, 1009, 1020, 1007, 1013, 1006, 1006, 1011, 1019, 1007, 1013, 1006, 3429, 1013, 1055, 1007, 1007, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 12567, 1998, 1054, 1012, 1023, 2292, 1056, 1006, 1062, 1007, 1027, 1011, 1062, 1008, 1008, 1017, 1009, 2324, 1008, 1062, 1008, 1008, 1016, 1009, 4601, 1008, 1062, 1009, 1021, 1012, 6814, 1014, 1008, 1042, 1027, 1011, 1018, 1008, 1042, 1011, 2484, 1012, 2292, 1052, 2022, 1011, 1017, 1009, 1015, 1011, 14078, 1013, 1042, 1012, 2292, 1037, 2022, 1056, 1006, 1052, 1007, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1037, 1998, 6191, 1029, 1023, 2292, 1056, 1006, 1062, 1007, 1027, 1011, 6640, 2620, 1008, 1062, 1008, 1008, 1017, 1009, 1016, 1008, 1062, 1008, 1008, 1016, 1009, 1020, 1008, 1062, 1011, 2184, 1012, 2292, 1061, 2022, 1056, 1006, 1011, 1016, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1061, 1998, 2382, 1029, 2382, 6814, 2184, 1008, 1050, 1011, 2385, 1008, 1050, 1009, 4029, 1027, 1014, 1012, 6814, 1042, 1011, 1017, 1008, 1052, 1011, 3515, 1027, 1014, 1010, 1011, 1050, 1008, 1042, 1009, 1023, 1008, 1042, 1027, 1052, 1009, 14168, 1012, 2054, 2003, 1996, 3284, 2691, 5387, 1997, 1042, 1998, 2423, 1029, 2423, 2292, 1056, 1006, 1037, 1007, 1027, 1020, 1008, 1037, 1011, 4464, 1012, 2292, 1058, 2022, 1056, 1006, 1020, 1007, 1012, 2292, 1048, 1006, 1044, 1007, 1027, 1011, 1021, 1008, 1044, 1011, 2340, 1012, 2292, 1038, 2022, 1048, 1006, 1058, 1007, 1012, 6814, 1038, 1008, 1045, 1009, 1018, 1027, 2484, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1045, 1998, 2656, 1012, 1016, 2292, 1053, 1027, 1011, 22060, 22394, 1009, 22060, 28154, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 1053, 1998, 8746, 16576, 1012, 2410, 2292, 1040, 2022, 1006, 1011, 18914, 2575, 1007, 1013, 1006, 1011, 14506, 2692, 1007, 1008, 1006, 1011, 17317, 1007, 1013, 1006, 1011, 1023, 1007, 1012, 2292, 1049, 1006, 1061, 1007, 1027, 1011, 1016, 1008, 1061, 1008, 1008, 1017, 1011, 1022, 1008, 1061, 1011, 1018, 1012, 6814, 1018, 1008, 1042, 1011, 1017, 1027, 1011, 2603, 1012, 2292, 1060, 2022, 1049, 1006, 1042, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 1060, 1998, 1040, 1029, 2656, 2292, 1060, 2022, 1006, 1006, 1011, 2410, 1007, 1013, 6275, 1007, 1013, 1006, 1015, 1013, 1006, 1011, 2382, 1007, 1007, 1012, 6814, 1060, 1008, 1051, 1027, 1018, 1008, 1049, 1009, 1049, 1011, 5585, 2692, 1010, 1018, 1008, 1049, 1011, 1019, 1008, 1051, 1011, 6535, 2475, 1027, 1014, 1012, 2054, 2003, 1996, 4602, 2691, 5387, 1997, 2324, 1998, 1049, 1029, 2324, 2292, 1048, 1006, 1052, 1007, 1027, 2861, 1008, 1052, 1008, 1008, 1016, 1011, 16065, 1008, 1052, 1009, 5179, 2629, 1012, 2292, 1060, 2022, 1048, 1006, 1019, 1007, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 1060, 1998, 18171, 1012, 8732, 6814, 1014, 1027, 1019, 1008, 1062, 1009, 1016, 1008, 1050, 1011, 4029, 2575, 1010, 1011, 1021, 1011, 6079, 1027, 1011, 1062, 1011, 1017, 1008, 1050, 1012, 2292, 1056, 1027, 1062, 1009, 20311, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 2340, 1998, 1056, 1012, 2340, 6814, 1019, 1008, 1059, 1011, 15028, 1027, 1011, 1019, 1008, 1046, 1011, 2410, 1010, 1011, 1018, 1008, 1059, 1011, 6273, 1027, 1011, 1017, 1008, 1046, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 1046, 1998, 4413, 2575, 1012, 1020, 2292, 1057, 1006, 1062, 1007, 1027, 1011, 1062, 1008, 1008, 1017, 1011, 5824, 1008, 1062, 1008, 1008, 1016, 1009, 21035, 1008, 1062, 1009, 6584, 1012, 2292, 1058, 2022, 1057, 1006, 1011, 4293, 1007, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 4720, 2549, 1998, 1058, 1012, 1018, 2292, 1056, 1006, 1048, 1007, 2022, 1996, 2117, 13819, 1997, 2603, 1008, 1048, 1009, 1014, 1009, 1021, 1013, 1016, 1008, 1048, 1008, 1008, 1017, 1009, 1016, 1008, 1048, 1008, 1008, 1016, 1012, 2292, 1059, 2022, 1056, 1006, 1015, 1007, 1012, 18422, 1996, 4602, 2691, 5387, 1997, 2184, 1998, 1059, 1012, 1019, 6814, 1014, 1027, 1011, 5585, 1008, 1052, 1009, 8746, 1008, 1052, 1011, 19492, 1012, 6814, 1011, 1020, 1008, 1039, 1011, 1052, 1008, 1039, 1027, 1011, 8746, 1012, 18422, 1996, 3284, 2691, 5387, 1997, 19883, 1998, 1039, 1012, 1017, 6814, 1011, 4029, 1008, 1059, 1009, 1019, 1027, 1011, 2871, 1008, 1059, 1009, 20500, 1012, 2292, 1050, 2022, 1006, 1006, 1011, 23785, 1007, 1013, 1006, 1011, 1019, 1007, 1007, 1013, 1006, 1023, 1013, 5764, 1007, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1050, 1998, 1059, 1029, 4805, 6814, 6163, 1027, 1054, 1011, 1016, 1008, 1050, 1010, 1014, 1027, 1011, 1017, 1008, 1054, 1009, 1050, 1009, 15017, 2581, 1011, 11502, 2575, 1012, 2054, 2003, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1054, 1998, 6205, 2509, 1029, 2340, 2292, 1047, 1027, 4261, 1011, 2656, 1012, 6814, 1011, 2538, 1008, 1060, 1027, 1011, 4464, 21619, 1011, 6421, 2575, 2475, 1012, 2292, 1053, 1027, 1011, 10332, 1009, 1060, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 1047, 1998, 1053, 1012, 2340, 2292, 1062, 1027, 12606, 16932, 1011, 9402, 28756, 1012, 18422, 1996, 4602, 2691, 4487, 11365, 2953, 1997, 13913, 1998, 1062, 1012, 3943, 2292, 1058, 1006, 1039, 1007, 1027, 1011, 2340, 1008, 1039, 1011, 4724, 1012, 2292, 1051, 1006, 1040, 1007, 1027, 1011, 1040, 1008, 1008, 1017, 1011, 1020, 1008, 1040, 1008, 1008, 1016, 1009, 4583, 1008, 1040, 1011, 1022, 1012, 2292, 1056, 2022, 1051, 1006, 1019, 1007, 1012, 2292, 1048, 2022, 1058, 1006, 1056, 1007, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 10715, 1998, 1048, 1012, 1023, 6814, 1011, 1018, 1008, 1059, 1009, 1038, 1011, 24673, 1027, 1014, 1010, 1014, 1027, 1018, 1008, 1059, 1011, 1017, 1008, 1038, 1009, 1038, 1009, 4464, 2549, 1012, 2292, 1053, 1027, 1011, 2340, 1011, 1059, 1012, 2054, 2003, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1053, 1998, 12457, 2549, 1029, 6070, 2292, 1043, 2022, 1006, 1014, 1011, 1015, 1011, 1011, 1015, 1007, 1009, 3486, 1012, 2292, 1061, 1006, 1062, 1007, 1027, 1017, 1008, 1062, 1008, 1008, 1017, 1009, 4805, 1008, 1062, 1008, 1008, 1016, 1011, 3486, 1008, 1062, 1011, 2410, 1012, 2292, 1037, 2022, 1061, 1006, 1011, 2385, 1007, 1012, 18422, 1996, 3284, 2691, 4487, 11365, 2953, 1997, 1037, 1998, 1043, 1012, 3486, 6814, 1011, 2385, 1027, 1018, 1008, 1061, 1009, 1019, 1008, 1040, 1010, 1011, 1061, 1011, 1040, 1027, 1017, 1008, 1040, 1009, 2321, 1012, 2292, 1058, 2022, 1006, 1061, 1013, 1017, 1007, 1013, 1006, 1011, 1019, 1008, 1016, 1013, 1006, 1011, 12567, 2692, 1007, 1007, 1012, 2292, 1053, 1027, 1058, 1009, 1011, 2676 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1013, 1008, 1008, 7000, 2000, 1996, 15895, 4007, 3192, 1006, 2004, 2546, 1007, 2104, 2028, 1008, 2030, 2062, 12130, 6105, 10540, 1012, 2156, 1996, 5060, 5371, 1008, 5500, 2007, 2023, 2147, 2005, 3176, 2592, 1008, 4953, 9385, 6095, 1012, 1996, 2004, 2546, 15943, 2023, 5371, 1008, 2000, 2017, 2104, 1996, 15895, 6105, 1010, 2544, 1016, 1012, 1014, 1006, 1996, 1008, 1000, 6105, 1000, 1007, 1025, 2017, 2089, 2025, 2224, 2023, 5371, 3272, 1999, 12646, 1008, 2007, 1996, 6105, 1012, 2017, 2089, 6855, 1037, 6100, 1997, 1996, 6105, 2012, 1008, 1008, 8299, 1024, 1013, 1013, 7479, 1012, 15895, 1012, 8917, 1013, 15943, 1013, 6105, 1011, 1016, 1012, 1014, 1008, 1008, 4983, 3223, 2011, 12711, 2375, 2030, 3530, 2000, 1999, 3015, 1010, 1008, 4007, 5500, 2104, 1996, 6105, 2003, 5500, 2006, 2019, 1008, 1000, 2004, 2003, 1000, 3978, 1010, 2302, 10943, 3111, 2030, 3785, 1997, 2151, 1008, 2785, 1010, 2593, 4671, 2030, 13339, 1012, 2156, 1996, 6105, 2005, 1996, 1008, 3563, 2653, 8677, 6656, 2015, 1998, 12546, 1008, 2104, 1996, 6105, 1012, 1008, 1013, 7427, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1025, 12324, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 10061, 4135, 21940, 2361, 1012, 3940, 1025, 12324, 9262, 1012, 11374, 1012, 25416, 1012, 5410, 2890, 25523, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 1008, 1025, 12324, 9262, 1012, 21183, 4014, 1012, 16483, 1012, 4654, 8586, 16161, 2099, 1025, 12324, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 8875, 1025, 1013, 1008, 1008, 1037, 2569, 4180, 7375, 2008, 2064, 2022, 2979, 2000, 10061, 4135, 21940, 2361, 1008, 1998, 3640, 4725, 2005, 8819, 1997, 12107, 1998, 13971, 12107, 1012, 1008, 1026, 3653, 1028, 1008, 1063, 1030, 4957, 6013, 8663, 6528, 2102, 1065, 24582, 1027, 2047, 1063, 1030, 4957, 6013, 8663, 6528, 2102, 1001, 6013, 8663, 6528, 2102, 1006, 1007, 6013, 8663, 6528, 2102, 1006, 1007, 1065, 1025, 1008, 1063, 1030, 4957, 2298, 6279, 1065, 2298, 6279, 1027, 2047, 1063, 1030, 4957, 10061, 4135, 21940, 2361, 1001, 10061, 4135, 21940, 2361, 1006, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 10061, 4135, 21940, 2361, 1012, 4180, 1007, 10061, 4135, 21940, 2361, 1006, 24582, 1007, 1065, 1025, 1008, 1008, 24582, 1012, 1063, 1030, 4957, 1001, 5587, 1006, 9262, 1012, 11374, 1012, 4874, 1007, 5587, 1006, 2047, 4874, 1006, 1007, 1007, 1065, 1025, 1008, 24582, 1012, 1063, 1030, 4957, 1001, 5587, 1006, 9262, 1012, 11374, 1012, 4874, 1007, 5587, 1006, 2047, 9812, 1006, 1012, 1012, 1012, 1007, 1007, 1065, 1025, 1008, 1008, 1063, 1030, 4957, 9262, 1012, 22091, 2102, 1012, 9812, 9812, 1065, 1996, 22172, 1027, 2298, 6279, 1012, 2298, 6279, 1006, 1063, 1030, 4957, 9262, 1012, 22091, 2102, 1012, 9812, 9812, 1065, 1012, 2465, 1007, 1025, 1008, 1026, 1013, 3653, 1028, 1008, 1008, 1030, 3166, 15723, 23085, 10722, 2721, 2818, 1008, 1008, 1030, 2144, 1015, 1012, 2423, 1008, 1013, 2270, 2345, 2465, 6013, 8663, 6528, 2102, 8908, 10061, 4135, 21940, 2361, 1012, 4180, 1063, 1013, 1008, 1008, 1008, 3443, 1037, 2047, 1010, 4064, 4180, 1012, 1008, 1013, 2270, 6013, 8663, 6528, 2102, 1006, 1007, 1063, 1065, 1013, 1008, 1008, 9005, 1037, 4180, 3378, 2007, 2019, 4654, 8586, 16161, 2099, 2000, 5047, 18365, 1008, 1997, 3431, 1012, 1008, 1030, 11498, 2213, 2025, 8757, 2378, 1996, 4654, 8586, 16161, 2099, 2000, 2025, 8757, 3431, 1999, 1008, 1030, 2144, 1021, 1012, 2385, 1008, 1013, 2270, 6013, 8663, 6528, 2102, 1006, 4654, 8586, 16161, 2099, 2025, 8757, 2378, 1007, 1063, 3565, 1006, 2025, 8757, 2378, 1007, 1025, 1065, 1013, 1008, 1008, 9909, 2019, 6013, 2000, 1996, 2298, 6279, 1012, 2065, 1026, 3642, 1028, 16021, 2102, 1026, 1013, 3642, 1028, 2525, 6526, 1008, 1999, 1996, 2298, 6279, 1006, 9945, 2003, 4340, 2011, 4874, 1005, 1055, 1063, 1030, 4957, 4874, 1001, 19635, 1006, 9262, 1012, 11374, 1012, 4874, 1007, 1065, 1008, 4118, 1007, 2059, 1996, 2047, 6013, 20736, 1996, 2214, 2028, 1008, 1999, 1996, 2298, 6279, 2021, 19373, 26828, 2015, 2024, 1026, 1045, 1028, 2025, 1026, 1013, 1045, 1028, 5359, 1999, 1008, 2107, 2553, 1012, 1008, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1013, 2270, 2345, 11675, 5587, 1006, 4874, 16021, 2102, 1007, 1063, 5587, 4502, 4313, 1006, 2047, 3722, 4221, 2213, 1026, 4874, 1028, 1006, 16021, 2102, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 9909, 1037, 22840, 6013, 2046, 1996, 2298, 6279, 1012, 1996, 1026, 3642, 1028, 16021, 2102, 1026, 1013, 3642, 1028, 1008, 6685, 2003, 2074, 1037, 3145, 1010, 2025, 1996, 5025, 3643, 2000, 3711, 1999, 1996, 2298, 6279, 1012, 1008, 1996, 3643, 2097, 2022, 2580, 2006, 5157, 1010, 2101, 2043, 2009, 2003, 2428, 2734, 1008, 2011, 4214, 1026, 3642, 1028, 10463, 2953, 1026, 1013, 3642, 1028, 4725, 1012, 1008, 1026, 1052, 1028, 1008, 2023, 4118, 2003, 6179, 2000, 8536, 4325, 1997, 3082, 3635, 5200, 1012, 1008, 2612, 2074, 4236, 12038, 3145, 1998, 1037, 10463, 2953, 1012, 1008, 1026, 1052, 1028, 1008, 2000, 6366, 5068, 4874, 2013, 2298, 6279, 2224, 1063, 1030, 4957, 1001, 6366, 1006, 9262, 1012, 11374, 1012, 4874, 1010, 8917, 1012, 2330, 5178, 1012, 21183, 4014, 1012, 2298, 6279, 1012, 6013, 8663, 6528, 2102, 1012, 10463, 2953, 1007, 1065, 1008, 2007, 1996, 2168, 9918, 1012, 1008, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1030, 11498, 2213, 9530, 2615, 10463, 2953, 2029, 2695, 26029, 2075, 2019, 7107, 18963, 1010, 1008, 2065, 1026, 3642, 1028, 9530, 2615, 1027, 1027, 19701, 1026, 1013, 3642, 1028, 2059, 1996, 6013, 2003, 5068, 3495, 1012, 1008, 1013, 2270, 2345, 1026, 1056, 1010, 1054, 1028, 11675, 5587, 1006, 1056, 16021, 2102, 1010, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 9530, 2615, 1007, 1063, 5587, 4502, 4313, 1006, 2047, 16401, 4221, 2213, 1026, 1056, 1010, 1054, 1028, 1006, 16021, 2102, 1010, 9530, 2615, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 6366, 6013, 1012, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1013, 2270, 2345, 11675, 6366, 1006, 4874, 16021, 2102, 1007, 1063, 6366, 4502, 4313, 1006, 2047, 3722, 4221, 2213, 1026, 4874, 1028, 1006, 16021, 2102, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 6366, 6013, 2794, 2007, 1037, 10463, 2953, 1012, 1008, 1030, 11498, 2213, 16021, 2102, 6013, 1008, 1030, 11498, 2213, 9530, 2615, 10463, 2953, 1010, 2065, 1026, 3642, 1028, 9530, 2615, 1027, 1027, 19701, 1026, 1013, 3642, 1028, 2009, 2003, 2168, 2066, 1008, 6366, 1006, 4874, 1007, 1008, 1013, 2270, 2345, 1026, 1056, 1010, 1054, 1028, 11675, 6366, 1006, 1056, 16021, 2102, 1010, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 9530, 2615, 1007, 1063, 6366, 4502, 4313, 1006, 2047, 16401, 4221, 2213, 1026, 1056, 1010, 1054, 1028, 1006, 16021, 2102, 1010, 9530, 2615, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 3431, 2035, 7689, 1999, 1996, 2298, 6279, 2000, 2047, 5300, 1012, 19884, 3074, 1997, 1008, 12107, 2000, 3074, 1997, 7689, 1012, 1008, 1030, 11498, 2213, 8902, 1996, 3074, 1997, 1006, 8875, 1007, 5200, 1008, 1030, 11498, 2213, 9530, 2615, 1996, 10463, 2953, 2000, 2224, 2030, 19701, 1008, 1013, 2270, 2345, 1026, 1056, 1010, 1054, 1028, 11675, 2275, 1006, 3074, 1026, 1056, 1028, 8902, 1010, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 9530, 2615, 1007, 1063, 9140, 9863, 1026, 3940, 1026, 1029, 1028, 1028, 1048, 1027, 2047, 9140, 9863, 1026, 3940, 1026, 1029, 1028, 1028, 1006, 8902, 1012, 2946, 1006, 1007, 1007, 1025, 2009, 6906, 4263, 1026, 1056, 1028, 2009, 1027, 8902, 1012, 2009, 6906, 4263, 1006, 1007, 1025, 2065, 1006, 9530, 2615, 1027, 1027, 19701, 1007, 1063, 2096, 1006, 2009, 1012, 8440, 10288, 2102, 1006, 1007, 1007, 1063, 1048, 1012, 5587, 1006, 2047, 3722, 4221, 2213, 1026, 1056, 1028, 1006, 2009, 1012, 2279, 1006, 1007, 1007, 1007, 1025, 1065, 1065, 2842, 1063, 2096, 1006, 2009, 1012, 8440, 10288, 2102, 1006, 1007, 1007, 1063, 1048, 1012, 5587, 1006, 2047, 16401, 4221, 2213, 1026, 1056, 1010, 1054, 1028, 1006, 2009, 1012, 2279, 1006, 1007, 1010, 9530, 2615, 1007, 1007, 1025, 1065, 1065, 2275, 4502, 18894, 1006, 1048, 1007, 1025, 1065, 1013, 1008, 1008, 10463, 2953, 2695, 29513, 2015, 2019, 7107, 18963, 1997, 2019, 4874, 1012, 1008, 1030, 2144, 1015, 1012, 2423, 1008, 1013, 2270, 10763, 8278, 10463, 2953, 1026, 1056, 1010, 1054, 1028, 1063, 1013, 1008, 1008, 10463, 27885, 3501, 2000, 2060, 4874, 1012, 2045, 2003, 2053, 2342, 2000, 10408, 1008, 17053, 7337, 1012, 2009, 2003, 3024, 2011, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 7076, 26897, 1006, 1007, 1065, 4118, 2993, 1012, 2174, 1996, 1008, 4118, 2064, 2022, 2170, 2062, 2084, 2320, 2138, 6013, 2003, 2218, 1008, 2074, 2011, 5410, 4431, 1012, 1008, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 4874, 4991, 2013, 2023, 4874, 1008, 1013, 2270, 1054, 10463, 1006, 1056, 27885, 3501, 1007, 1025, 1013, 1008, 1008, 2709, 2828, 1997, 4991, 4874, 1012, 7801, 3081, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 13874, 1006, 1007, 1065, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 2465, 2008, 2097, 2022, 2550, 2013, 2023, 4874, 1006, 2465, 2030, 1008, 3565, 26266, 1997, 10463, 1006, 27885, 3501, 1007, 1007, 1008, 1013, 2270, 2465, 1026, 1029, 8908, 1054, 1028, 2828, 1006, 1056, 27885, 3501, 1007, 1025, 1013, 1008, 1008, 24134, 2015, 1996, 8909, 1997, 1996, 4504, 4874, 1012, 7801, 3081, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 3593, 1006, 1007, 1065, 1012, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 8909, 2005, 1996, 4874, 1008, 1013, 2270, 5164, 8909, 1006, 1056, 27885, 3501, 1007, 1025, 1013, 1008, 1008, 1996, 2529, 2556, 3085, 2171, 2005, 1996, 4874, 1012, 7801, 3081, 1008, 1063, 1030, 4957, 8875, 1001, 2131, 10521, 13068, 18442, 1006, 1007, 1065, 1012, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 5068, 4874, 1008, 1030, 2709, 1996, 2171, 5052, 1996, 4874, 2005, 1996, 5310, 1008, 1013, 2270, 5164, 4653, 18442, 1006, 1056, 27885, 3501, 1007, 1025, 1065, 1013, 1008, 1008, 6013, 1997, 2028, 8875, 5052, 2019, 4874, 1012, 1008, 1013, 2345, 10763, 2465, 3722, 4221, 2213, 1026, 1056, 1028, 8908, 3940, 1026, 1056, 1028, 1063, 2797, 1056, 27885, 3501, 1025, 1013, 1008, 1008, 3443, 2019, 8875, 1012, 1008, 1030, 27885, 3501, 4874, 2000, 4236, 1008, 1013, 2270, 3722, 4221, 2213, 1006, 1056, 27885, 3501, 1007, 1063, 2065, 1006, 27885, 3501, 1027, 1027, 19701, 1007, 1063, 5466, 2047, 19701, 8400, 7869, 2595, 24422, 1006, 1007, 1025, 1065, 2023, 1012, 27885, 3501, 1027, 27885, 3501, 1025, 1065, 1013, 1008, 1008, 5852, 3251, 2023, 8875, 2064, 3965, 4874, 1008, 1997, 2465, 1039, 1012, 1008, 1013, 2270, 22017, 20898, 6013, 11253, 1006, 2465, 1026, 1029, 1028, 1039, 1007, 1063, 2709, 1039, 1012, 2003, 7076, 26897, 1006, 27885, 3501, 1007, 1025, 1065, 1013, 1008, 1008, 2131, 6013, 1997, 5068, 4874, 1012, 2065, 10463, 2953, 2003, 9675, 2059, 1008, 4118, 6013, 4135, 21940, 2361, 1012, 10463, 2953, 1012, 10463, 2953, 2003, 2109, 1998, 5410, 4431, 1008, 2000, 4991, 4874, 2003, 5552, 1012, 1008, 1030, 2709, 1996, 6013, 1997, 1996, 4874, 1012, 1008, 1013, 2270, 1056, 2131, 7076, 26897, 1006, 1007, 1063, 2709, 27885, 3501, 1025, 1065, 1030, 2058, 15637, 2270, 22017, 20898, 19635, 1006, 4874, 1051, 1007, 1063, 2065, 1006, 1051, 6013, 11253, 3722, 4221, 2213, 1007, 1063, 2709, 27885, 3501, 1012, 19635, 1006, 1006, 1006, 3722, 4221, 2213, 1007, 1051, 1007, 1012, 27885, 3501, 1007, 1025, 1065, 2842, 1063, 2709, 6270, 1025, 1065, 1065, 1030, 2058, 15637, 2270, 20014, 23325, 16044, 1006, 1007, 1063, 2709, 27885, 3501, 1012, 23325, 16044, 1006, 1007, 1025, 1065, 1013, 1008, 1008, 2019, 4767, 1997, 1996, 8875, 1012, 1008, 1030, 2709, 5164, 5052, 1996, 8875, 1010, 2008, 2064, 2022, 2109, 2005, 1008, 29486, 6651, 5682, 2000, 12453, 1996, 2168, 8875, 2279, 2051, 1008, 1013, 2270, 5164, 2131, 3593, 1006, 1007, 1063, 2709, 1000, 6335, 1031, 1000, 1009, 27885, 3501, 1012, 2000, 3367, 4892, 1006, 1007, 1025, 1013, 1013, 2053, 2072, 15136, 2078, 1065, 1013, 1008, 1008, 2131, 3334, 2005, 4653, 2171, 1997, 1996, 8875, 1012, 1008, 1013, 2270, 5164, 2131, 10521, 13068, 18442, 1006, 1007, 1063, 2709, 27885, 3501, 1012, 2000, 3367, 4892, 1006, 1007, 1025, 1065, 1013, 1008, 1008, 4118, 2008, 2064, 3231, 3251, 2019, 6013, 1997, 1037, 2465, 2038, 2042, 2580, 1008, 2011, 2023, 8875, 1012, 1008, 1008, 1030, 11498, 2213, 27885, 3501, 1996, 6013, 1008, 1030, 2709, 2065, 1996, 8875, 2038, 2525, 3443, 2019, 6013, 1998, 2009, 2003, 1996, 2168, 1008, 2004, 27885, 3501, 1012, 1008, 1013, 1030, 2058, 15637, 5123, 22017, 20898, 8543, 11253, 1006, 4874, 27885, 3501, 1007, 1063, 2709, 27885, 3501, 1027, 1027, 19701, 1029, 19701 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5606, 1997, 8711, 2031, 2513, 2000, 2444, 1999, 3595, 7958, 1999, 1996, 23116, 2555, 1999, 1996, 3246, 1997, 8932, 2000, 1996, 2866, 1010, 1996, 2981, 2064, 7487, 1010, 2074, 3134, 2044, 1996, 12451, 1997, 1996, 1005, 8894, 1005, 17137, 3723, 4665, 1012, 2045, 2024, 2012, 2560, 2416, 11900, 7617, 1999, 3541, 3033, 1997, 1996, 13926, 1011, 14674, 1011, 2139, 1011, 23116, 2555, 1010, 2169, 3847, 7644, 1997, 8711, 1998, 16836, 1010, 2007, 3616, 3652, 11328, 1999, 3522, 3134, 1012, 2009, 3310, 2048, 2706, 2044, 1996, 8503, 1997, 1996, 8894, 1010, 2029, 2001, 3832, 2000, 3288, 2019, 2203, 2000, 1996, 13141, 3663, 1999, 23116, 2011, 9846, 1996, 3409, 1998, 4487, 17668, 7741, 2049, 3901, 2000, 7684, 8941, 1006, 12966, 2015, 1007, 2408, 2605, 1517, 2019, 3169, 1996, 4614, 16586, 2004, 1037, 1523, 3112, 1524, 1012, 23116, 1005, 8894, 1005, 16388, 1024, 5952, 5795, 2066, 3619, 13141, 3949, 2000, 6394, 14522, 2174, 1010, 7644, 1997, 8711, 1998, 16836, 2040, 2020, 2579, 2006, 7793, 2000, 12966, 8941, 2031, 2085, 2318, 2437, 1996, 4990, 2067, 2000, 1996, 2167, 1997, 2605, 1012, 2116, 1997, 2068, 2024, 2336, 3005, 11386, 4447, 2020, 5837, 2011, 1996, 2188, 2436, 3041, 2023, 3204, 1010, 1998, 2031, 2787, 2000, 2191, 2037, 2219, 2126, 2000, 1996, 2866, 2044, 13417, 3532, 2542, 3785, 1999, 1996, 2413, 8941, 1012, 2028, 2061, 1011, 2170, 1523, 3595, 1524, 3409, 3658, 2006, 1996, 3341, 1997, 1037, 2235, 2413, 2352, 2170, 4496, 22787, 1011, 15489, 2229, 1010, 2105, 2382, 3717, 2013, 1996, 3417, 1997, 23116, 1012, 2105, 7558, 8711, 2747, 2444, 1999, 1996, 3409, 1010, 2029, 2038, 5839, 2144, 2263, 1010, 2021, 1996, 3616, 2031, 2042, 5901, 3652, 1999, 3522, 3134, 1010, 2004, 8711, 1517, 3391, 18464, 1517, 2031, 5625, 2975, 1996, 7684, 8941, 1012, 1037, 3409, 1999, 4496, 22787, 1011, 15489, 2229, 2038, 2468, 2188, 2000, 2062, 2084, 6036, 8711, 1006, 9790, 11811, 1007, 19290, 12304, 1010, 6951, 2005, 1037, 2235, 2413, 5952, 2170, 25170, 1040, 1521, 9413, 21621, 2029, 6067, 4681, 2012, 1996, 4496, 22787, 1011, 15489, 2229, 3409, 1010, 2409, 1996, 2981, 1024, 1523, 2045, 2024, 2062, 1998, 2062, 2111, 2746, 2067, 1012, 2023, 2733, 2045, 2038, 2042, 2195, 6474, 2111, 7180, 1012, 1045, 6814, 2009, 2097, 4982, 2062, 1999, 1996, 2746, 2706, 1012, 1523, 2007, 1996, 2866, 2231, 5494, 2091, 2049, 15210, 1997, 2104, 4270, 8711, 2000, 1996, 2866, 1010, 2045, 2031, 2042, 1037, 2843, 1997, 18464, 2746, 2067, 1012, 1000, 2045, 2024, 2111, 2040, 2024, 4415, 2104, 4270, 1998, 4415, 2031, 2155, 1999, 1996, 2866, 1010, 2021, 2027, 2031, 2042, 2409, 2008, 2085, 2009, 1521, 1055, 2701, 1012, 2085, 2027, 1005, 2128, 2746, 2067, 2000, 3046, 2191, 2037, 2219, 2126, 1012, 1523, 6001, 2024, 2036, 2746, 2067, 2013, 8941, 1999, 7046, 3616, 1012, 2070, 2359, 2000, 2994, 1999, 2605, 1010, 2021, 2027, 2031, 2042, 3403, 2005, 2048, 2706, 1998, 2027, 4033, 1521, 1056, 2130, 2042, 2445, 1996, 4495, 2000, 6611, 2005, 11386, 1012, 2027, 1005, 2310, 2445, 2039, 1012, 1524, 2720, 12304, 2056, 1996, 3409, 2001, 2028, 1997, 2416, 20384, 2105, 1996, 13926, 1011, 14674, 1011, 2139, 1011, 23116, 2555, 1012, 9790, 11811, 1010, 1037, 13141, 8175, 1998, 2934, 2012, 22389, 1005, 1055, 2118, 1010, 3603, 1996, 5023, 3409, 3041, 2023, 3204, 1012, 7851, 2009, 2004, 1037, 1523, 7163, 1011, 8894, 1524, 1010, 2016, 2056, 1996, 3785, 2020, 1523, 18704, 1524, 1998, 2008, 3901, 1997, 1996, 11900, 4093, 2596, 2000, 2022, 4452, 2000, 5138, 4681, 2005, 3571, 1997, 5059, 3086, 2000, 3209, 1012, 2934, 11811, 2056, 1024, 1523, 2009, 1521, 1055, 1037, 2210, 4979, 1997, 5249, 2039, 1037, 2200, 4867, 1010, 2309, 1011, 2650, 4644, 1012, 2017, 2156, 2009, 2083, 1996, 3628, 1998, 2009, 1005, 1055, 2066, 1037, 7163, 1011, 8894, 1012, 1000, 1996, 17177, 2024, 2404, 2362, 2007, 2536, 9017, 1997, 3536, 1998, 16985, 4502, 18639, 1517, 3649, 2027, 2064, 6723, 1012, 2045, 2003, 2053, 2490, 2045, 1012, 2027, 1521, 2310, 4055, 3209, 2039, 2061, 2045, 1521, 1055, 1037, 2273, 1521, 1055, 2930, 1998, 1037, 2308, 1998, 2336, 1521, 1055, 2930, 1012, 1523, 1996, 4614, 2097, 2424, 2008, 2062, 1998, 2062, 1997, 2122, 3595, 7958, 2097, 3769, 2039, 2138, 2122, 2111, 2024, 2893, 6233, 10206, 1012, 1000, 2116, 2031, 2081, 1996, 2146, 4990, 2013, 1996, 8941, 2067, 2000, 1996, 23116, 2181, 2029, 2003, 5220, 2000, 2068, 1010, 2066, 1037, 2188, 1516, 2030, 2004, 2379, 2000, 1037, 2188, 2004, 2027, 2064, 2191, 2009, 1012, 1524, 2016, 2056, 1996, 3409, 2003, 2055, 2048, 3717, 2013, 1037, 3913, 1011, 2011, 2006, 1996, 3307, 2008, 5260, 2039, 2000, 1996, 3417, 1997, 23116, 1010, 2073, 8840, 12244, 6853, 2411, 2191, 2037, 2197, 2644, 2077, 5153, 1010, 9280, 2437, 2009, 1037, 1523, 4026, 5484, 1005, 1055, 9097, 1524, 1012, 1523, 1996, 4864, 1997, 1996, 2047, 3409, 2064, 3328, 2408, 1037, 3232, 1997, 4249, 1998, 2045, 2003, 1037, 3913, 1011, 2011, 2073, 9322, 2380, 11585, 1516, 1996, 2197, 2644, 2077, 2027, 2175, 2083, 1996, 3417, 1010, 1524, 2016, 2056, 1012, 1523, 2009, 1521, 1055, 2073, 1996, 9144, 2024, 2589, 1010, 2092, 2185, 2013, 1996, 3417, 1012, 2009, 1521, 1055, 1037, 4026, 5484, 1521, 1055, 9097, 1012, 3071, 2105, 2023, 2047, 3409, 2003, 8211, 2000, 2068, 1012, 1524, 7890, 13006, 4819, 4967, 1010, 1037, 2321, 1011, 2095, 1011, 2214, 13141, 2013, 4501, 2040, 2038, 2042, 2542, 1999, 2028, 1997, 1996, 8941, 4351, 2005, 2336, 1006, 12966, 9856, 1007, 1999, 2019, 14545, 11393, 1010, 1037, 2237, 2006, 1996, 2413, 1011, 5364, 3675, 1010, 2247, 2007, 2539, 2060, 2775, 8711, 1010, 2056, 2002, 1998, 2010, 2814, 2020, 4041, 2000, 2681, 1996, 2803, 1998, 2709, 2000, 23116, 1012, 1996, 10563, 2001, 3728, 6727, 2008, 2002, 1998, 2087, 1997, 2010, 2814, 2018, 2042, 5837, 2011, 1996, 2188, 2436, 1010, 1998, 2056, 2027, 2085, 2018, 1523, 2053, 2060, 5724, 1524, 2021, 2000, 2709, 2000, 23116, 1999, 1996, 3246, 1997, 1523, 2178, 8894, 1524, 1012, 2002, 2794, 2008, 2027, 2020, 1523, 2542, 2066, 20325, 2015, 1524, 1999, 1996, 2803, 1010, 1998, 3024, 1996, 2981, 2007, 8333, 1997, 2037, 9746, 1011, 2066, 5777, 2181, 1010, 1998, 7008, 1997, 1037, 7954, 1997, 7852, 1998, 10930, 5603, 19585, 1012, 1523, 2027, 5763, 2149, 2027, 2052, 2202, 2149, 2000, 1996, 2866, 2021, 2056, 2057, 2018, 2000, 2022, 5776, 1012, 2012, 2023, 2803, 2027, 7438, 2149, 2066, 20325, 2015, 1010, 1000, 7890, 13006, 4819, 2056, 1012, 1000, 2057, 2024, 2542, 1999, 1037, 4713, 1998, 2057, 2024, 5983, 13735, 7852, 1012, 2057, 2031, 4741, 1999, 2122, 11123, 2302, 5983, 7919, 1998, 2085, 2027, 2024, 3038, 2057, 2064, 1005, 1056, 2175, 1012, 2009, 2965, 2057, 2442, 2175, 2067, 2000, 23116, 1012, 2402, 8711, 1999, 1037, 12966, 1999, 4776, 9335, 3366, 5983, 10930, 5603, 19585, 1998, 7852, 2027, 2020, 3140, 2000, 4965, 2138, 2027, 2360, 1996, 2833, 8127, 2001, 14710, 1006, 7890, 13006, 4819, 4967, 1007, 1006, 7890, 18878, 2319, 4967, 1007, 1523, 2065, 2027, 4694, 1521, 1056, 2183, 2000, 2202, 2149, 2027, 2323, 2031, 2409, 2149, 4415, 1012, 2057, 2187, 1996, 8894, 2006, 1996, 4650, 2008, 2057, 2052, 2175, 2000, 1996, 2866, 1012, 2057, 3970, 2122, 3785, 2074, 2000, 2175, 2000, 1996, 2866, 1010, 1998, 2085, 2027, 2024, 3038, 2057, 2031, 2000, 2507, 2039, 1012, 1523, 1045, 3246, 2017, 2097, 2156, 2178, 8894, 2574, 1012, 1524, 1996, 13926, 1011, 14674, 1011, 2139, 1011, 23116, 7498, 5837, 4311, 2008, 2045, 2024, 2416, 11900, 7617, 1999, 1996, 2555, 1010, 1998, 6380, 2045, 2018, 2042, 2019, 3623, 1999, 3616, 1997, 8711, 1012, 23116, 1998, 29467, 7958, 2265, 2035, 2385, 1015, 1013, 2385, 23116, 1998, 29467, 7958, 23116, 1998, 29467, 7958, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 6533, 1997, 2019, 12632, 2158, 4147, 1037, 3151, 2566, 4819, 10722, 28483, 2078, 1999, 1996, 23116, 8894, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 2048, 8991, 7662, 7834, 3457, 1996, 2364, 4211, 2000, 1996, 29467, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 2028, 15553, 8956, 2158, 1521, 1055, 14764, 2000, 2370, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2048, 2402, 3337, 1999, 1996, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2019, 7726, 9012, 11854, 4832, 2648, 1996, 2069, 3588, 7713, 1999, 1996, 2148, 2217, 1997, 1996, 23116, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 1037, 2277, 1999, 1996, 2148, 23116, 3409, 1010, 2006, 1997, 1996, 1996, 2069, 5090, 2025, 7002, 1999, 1996, 2148, 2217, 1997, 1996, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 1037, 2158, 4152, 1037, 2606, 3013, 1999, 1996, 23116, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2305, 4212, 2006, 1996, 23116, 8894, 1012, 8769, 6402, 1999, 1996, 3292, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1996, 16143, 3024, 2004, 4522, 11366, 2005, 1996, 2111, 1999, 1996, 7958, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 2402, 2879, 1999, 1996, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 2158, 4952, 2015, 2000, 2189, 2503, 2028, 1997, 1996, 7829, 16143, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 1996, 9643, 2542, 3785, 1999, 1996, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 2019, 12632, 2158, 1999, 1996, 23116, 3409, 1006, 6302, 1024, 6253, 21523, 29601, 1007, 23116, 1998, 29467, 7958, 2028, 1997, 1996, 7726, 9012, 26049, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 23116, 1998, 29467, 7958, 1037, 2155, 1999, 2037, 4799, 7713, 1999, 1996, 2047, 29467, 3409, 1006, 6302, 1024, 5070, 8040, 9892, 2121, 1007, 1037, 15974, 2056, 1024, 1523, 1996, 16836, 1999, 1996, 2235, 7958, 1997, 1996, 2533, 1997, 1996, 14674, 1011, 2139, 1011, 23116, 1006, 2093, 1999, 2561, 1007, 2024, 5570, 2680, 1998, 2057, 2031, 2025, 5159, 2019, 3623, 1012, 1523, 2144, 1996, 4487, 11512, 15073, 1997, 1996, 8894, 1010, 2053, 2047, 3409, 2038, 2042, 2511, 1999, 23116, 1012, 2110, 2578, 3961, 6819, 20142, 4630, 1024, 1996, 4684, 2522, 22197, 4244, 2470, 4250, 1010, 2029, 2001, 13487, 2007, 4337, 2075, 20673, 25555, 1010, 2001, 13949, 1999, 2244, 2355, 1998, 2610, 14214, 2024, 2145, 2108, 11240, 21758, 2651, 1012, 1523, 9690, 1010, 2057, 11949, 2008, 16836, 3613, 2000, 2022, 2556, 1012, 2105, 3263, 16836, 2169, 2733, 2024, 3603, 1999, 3082, 5350, 4683, 2076, 2892, 1011, 3149, 7711, 1012, 1523, 2043, 16836, 2024, 2179, 5023, 1999, 3082, 5350, 4683, 2076, 2892, 1011, 3149, 14148, 1010, 1996, 2110, 1521, 1055, 3433, 2003, 3813, 1012, 2065, 2009, 2003, 4484, 2008, 16836, 2024, 17800, 1999, 2120, 3700, 1010, 2027, 2024, 2872, 1999, 12345, 1012, 1000, 1037, 2146, 1011, 2051, 6951, 2005, 13141, 5952, 23116, 20731, 14657, 1010, 2040, 2134, 1005, 1056, 2215, 2000, 2022, 2315, 1010, 10173, 2008, 8711, 2052, 3613, 2000, 2709, 1999, 3652, 3616, 1012, 1523, 16836, 2109, 2000, 2994, 2503, 1996, 2237, 1010, 2021, 2085, 2007, 1996, 2610, 14148, 7249, 2043, 2027, 7180, 1999, 23116, 2027, 2855, 2175, 2046, 6318, 1010, 1000, 2002, 2056, 1012, 1000, 2037, 2933, 2453, 2022, 2000, 2994, 2185, 2013, 1996, 2610, 1011, 4758, 2752, 2005, 2085, 1012, 2027, 2097, 2562, 4251, 1998, 2994, 1999, 5023, 3182, 2005, 1037, 2261, 2706, 1998, 2059, 2044, 1996, 3663, 2097, 2689, 2153, 1010, 2138, 2045, 2097, 2022, 2062, 1998, 2062, 2111, 2746, 1012, 1996, 1520, 3595, 3409, 1521, 2003, 4350, 1999, 1996, 10833, 1010, 2521, 2041, 2013, 1996, 4600, 2610, 2094, 23116, 2237, 1006, 9790, 11811, 1007, 1523, 1996, 2110, 1031, 1996, 2231, 1033, 3555, 1996, 12451, 2001, 1037, 3112, 1010, 2021, 1996, 2111, 1997, 23116, 2113, 2008, 1996, 2111, 2097, 2562, 2746, 1012, 1000, 2127, 2045, 2003, 1037, 3252, 2000, 6160, 2111, 1998, 2507, 2068, 1037, 2157, 2000, 2994, 1010, 2027, 2097, 11494, 3182, 2182, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1996, 20176, 2006, 1045, 1011, 6365, 5825, 2875, 2358, 6112, 1010, 3391, 2006, 11559, 5958, 24738, 1010, 2064, 2022, 1999, 27942, 15370, 1012, 2009, 1521, 1055, 3305, 3085, 2008, 1037, 2843, 1997, 2111, 2024, 4214, 2005, 1520, 2242, 2000, 2022, 2589, 1012, 1521, 1012, 1996, 4248, 4668, 1997, 8801, 1998, 2500, 2003, 1037, 2655, 2000, 21255, 1996, 2518, 1517, 1002, 2382, 2454, 2005, 2178, 4644, 1012, 5121, 2008, 2003, 1996, 5576, 1010, 2027, 2228, 1012, 2045, 2024, 1037, 2261, 5936, 2007, 2023, 3921, 1012, 2034, 1010, 2057, 1521, 2310, 2196, 2664, 2328, 2256, 2126, 2041, 1997, 20176, 1012, 2057, 5587, 18799, 1998, 1010, 2306, 1037, 2460, 2051, 1010, 1006, 2411, 2074, 2176, 2086, 2429, 2000, 2070, 2913, 1007, 1996, 3291, 2003, 2074, 2004, 2919, 2004, 2077, 1012, 2117, 1010, 17973, 2028, 2930, 1997, 2346, 2411, 2074, 13956, 1996, 3291, 2091, 1996, 2346, 1517, 6719, 1012, 2057, 2453, 2574, 2022, 4994, 4455, 2005, 17973, 2582, 2247, 6365, 1010, 9186, 2321, 2083, 2358, 6112, 1010, 1998, 2062, 1012, 2353, 1010, 2023, 2003, 2178, 2261, 2454, 6363, 2057, 2071, 2224, 6974, 1010, 2066, 7149, 2007, 1996, 2035, 2154, 2296, 2154, 20176, 1998, 20871, 1999, 1996, 5519, 3655, 2008, 4254, 2062, 3633, 1998, 5661, 2296, 2154, 1012, 2045, 1521, 1055, 2036, 1037, 3160, 1997, 3808, 1006, 9374, 1010, 2007, 1996, 2168, 2193, 1997, 3679, 4683, 1010, 2029, 2003, 13726, 1998, 5514, 1024, 1037, 1018, 1011, 4644, 3307, 1999, 2885, 2030, 1037, 1020, 1011, 4644, 3307, 1999, 1996, 1057, 1012, 1055, 1012, 1029, 1007, 1012, 2045, 1521, 1055, 1037, 2825, 5576, 2008, 2180, 1521, 1056, 3465, 1002, 2382, 2454, 1010, 2064, 3073, 4335, 3202, 2612, 1997, 2274, 2000, 2698, 2086, 2013, 2085, 1010, 2180, 1521, 1056, 5478, 1037, 2095, 2030, 2048, 1997, 2810, 14978, 2015, 1010, 1998, 2097, 3623, 3808, 2612, 1997, 9885, 2009, 1012, 11588, 9389, 2182, 1521, 1055, 2054, 6433, 2006, 1037, 5171, 5958, 5027, 2006, 1045, 1011, 6365, 1012, 2619, 9297, 12430, 2084, 2500, 1999, 1996, 2187, 4644, 1998, 1037, 2261, 3765, 8632, 2039, 2369, 2032, 3403, 2000, 2131, 2011, 1012, 2023, 12702, 9389, 1997, 3765, 2003, 2170, 1037, 13799, 2011, 4026, 6145, 1012, 13799, 2015, 2066, 2023, 2024, 1999, 12879, 8873, 23402, 3372, 2224, 1997, 1996, 18799, 1998, 2037, 7371, 8966, 3267, 1998, 4372, 29181, 2075, 1997, 6853, 2064, 2022, 3243, 4795, 1012, 2320, 1996, 4644, 3796, 2121, 2012, 1996, 2132, 1997, 1996, 13799, 5829, 2000, 1996, 2157, 1010, 2030, 3071, 2369, 2515, 2000, 2131, 2105, 2032, 1010, 1996, 13799, 5829, 2830, 1998, 7807, 2039, 1012, 2005, 2122, 6853, 2009, 2003, 1037, 2978, 25198, 1010, 2021, 2788, 3463, 1999, 2069, 1037, 3576, 4030, 7698, 1012, 2174, 1010, 2045, 1521, 1055, 2178, 13799, 7732, 2039, 2369, 2178, 4644, 3796, 2121, 1037, 2261, 2781, 2369, 2023, 2028, 1998, 2178, 2369, 2008, 1012, 2058, 1996, 2607, 1997, 2055, 2322, 2781, 1010, 1999, 1996, 2220, 5027, 1010, 1996, 16680, 2090, 2122, 13799, 2015, 2131, 22546, 1998, 22546, 2127, 2028, 13799, 3310, 2039, 2006, 1996, 4373, 1997, 1996, 13799, 1999, 2392, 1997, 2009, 1998, 1059, 3511, 5302, 1010, 2017, 2031, 1996, 16508, 1997, 1996, 2154, 1521, 1055, 11588, 4026, 9389, 1012, 1998, 2009, 2035, 2318, 2007, 1996, 2187, 4644, 3796, 2121, 2040, 1521, 1055, 2085, 11361, 2382, 2781, 3805, 1997, 1996, 9389, 2027, 3271, 2000, 2707, 1012, 2065, 2017, 2024, 1037, 8785, 2030, 5584, 13128, 2711, 1010, 2023, 5248, 2038, 2042, 14440, 2011, 10210, 1998, 2500, 2007, 13433, 24077, 4353, 1998, 8331, 10949, 1012, 2005, 2216, 6047, 2438, 2000, 2996, 27191, 4468, 2107, 2477, 1010, 2292, 1521, 1055, 3422, 1037, 2678, 1024, 2085, 1010, 7868, 2296, 2482, 2006, 1045, 1011, 6365, 2003, 3048, 2012, 1037, 5377, 3770, 5601, 1006, 2748, 1010, 2009, 1521, 1055, 2825, 1999, 1037, 3819, 2088, 1010, 3383, 2107, 2004, 2065, 2296, 2482, 2018, 1037, 7217, 2241, 8790, 8592, 2491, 2000, 2562, 2017, 3599, 2702, 2519, 2369, 1996, 2482, 1999, 2392, 1997, 2017, 1007, 1012, 2028, 2482, 13627, 2005, 2074, 1037, 2200, 4766, 2617, 1010, 2029, 5320, 1996, 2482, 2369, 2000, 13428, 1010, 1998, 2061, 5743, 1012, 2169, 2482, 13627, 2074, 1037, 2210, 2062, 2084, 1996, 2028, 1999, 2392, 1998, 2061, 2055, 1996, 3770, 2705, 2482, 13627, 2000, 1037, 2644, 1998, 2574, 2045, 2024, 2753, 3765, 3030, 1998, 21601, 2039, 2369, 2193, 3770, 1012, 2023, 9389, 1997, 3030, 3765, 2097, 4982, 1998, 2693, 11043, 2083, 4026, 1010, 2823, 2005, 2661, 1012, 2619, 10851, 1996, 2187, 2030, 2690, 4644, 2038, 1996, 2168, 3466, 1012, 2028, 3992, 5577, 1996, 4525, 9389, 2004, 1037, 5213, 16535, 3048, 11043, 2013, 1996, 4644, 3796, 2121, 1012, 2057, 2089, 2025, 2022, 2583, 2000, 4652, 2023, 3294, 1999, 2428, 3082, 4026, 1010, 2021, 2057, 2064, 3497, 5547, 2009, 8046, 6022, 1012, 4644, 9009, 4644, 9009, 2003, 2478, 1996, 10914, 1997, 1037, 18799, 1999, 1996, 2087, 8114, 1998, 3647, 5450, 2004, 2825, 1998, 2003, 2788, 7680, 7583, 2039, 2004, 2562, 2157, 3272, 2000, 3413, 1012, 1037, 4121, 4022, 5770, 1997, 1037, 2176, 1011, 4644, 3307, 1010, 2107, 2004, 1045, 1011, 6365, 1010, 3475, 1521, 1056, 2074, 2000, 3313, 1996, 3977, 1997, 1037, 2048, 1011, 4644, 3541, 18799, 2011, 2383, 2048, 10914, 1999, 1996, 2168, 3257, 2612, 1997, 2074, 2028, 1010, 2021, 2000, 4800, 22086, 1996, 3977, 2172, 2062, 1012, 4352, 5514, 6853, 2000, 2855, 2693, 2105, 2500, 1998, 2059, 2131, 2067, 1999, 2000, 1996, 4834, 1997, 4026, 4473, 2122, 6853, 2000, 16462, 18799, 3977, 2008, 2003, 4728, 15171, 1012, 2612, 1997, 2008, 4062, 2108, 1999, 2392, 1997, 2017, 1010, 2027, 2024, 2085, 2092, 2091, 1996, 2346, 1998, 2025, 4254, 2075, 2017, 1012, 2017, 2031, 2062, 2686, 2000, 1996, 2482, 1999, 2392, 1997, 2017, 1998, 2024, 2062, 6625, 1012, 2027, 2024, 8110, 2019, 15171, 6578, 1012, 1998, 2023, 8440, 1521, 1056, 3465, 3087, 2505, 1012, 2256, 3768, 1997, 4644, 9009, 11027, 2015, 2023, 5770, 1012, 2612, 1997, 2893, 3383, 1037, 2093, 10371, 3623, 1999, 3977, 2011, 2311, 1037, 2176, 1011, 4644, 3307, 1999, 2173, 1997, 1037, 2048, 1011, 4644, 3541, 2346, 1010, 2057, 2069, 2131, 2055, 1037, 2048, 10371, 3623, 1012, 4644, 10851, 3084, 2256, 10292, 2062, 4795, 1998, 2625, 8114, 2005, 3071, 1012, 2065, 2008, 2034, 2711, 2018, 2025, 8534, 1996, 4644, 1010, 1996, 2111, 2369, 2032, 2052, 2031, 8979, 2006, 2039, 1996, 2346, 1010, 2975, 1996, 10914, 2800, 2005, 2216, 2369, 2068, 2000, 2224, 1012, 2168, 2005, 1996, 2117, 2711, 10851, 1996, 4644, 1010, 1998, 2169, 2044, 2068, 1012, 4644, 10851, 2025, 2069, 9005, 9389, 2015, 1010, 2021, 4013, 10052, 2015, 2068, 2004, 2092, 2043, 2619, 2012, 1996, 2132, 1997, 1996, 9389, 4247, 2000, 3796, 1996, 2187, 4644, 2612, 1997, 3048, 2157, 1998, 4352, 2216, 2369, 2000, 2693, 2830, 1998, 2131, 2041, 1997, 1996, 2126, 1997, 2216, 2369, 2068, 1012, 2065, 2017, 1521, 2128, 3564, 1999, 2023, 4026, 2012, 1996, 2067, 1997, 1996, 9389, 1010, 2009, 1521, 1055, 2524, 2000, 2903, 2008, 2242, 2061, 3722, 2004, 4644, 9009, 2064, 2147, 1012, 5136, 1010, 2295, 1010, 2008, 2087, 1997, 1996, 3765, 2105, 2017, 2876, 1521, 1056, 2022, 2182, 2085, 2065, 1996, 3765, 1999, 2392, 1997, 2068, 2020, 2582, 2091, 1996, 2346, 2612, 1997, 10851, 2068, 1010, 1998, 2006, 1998, 2006, 2039, 2000, 1996, 2187, 4644, 3796, 2545, 2012, 1996, 2200, 2392, 1012, 1999, 2392, 1997, 2023, 9389, 1010, 2074, 1037, 2261, 2661, 3805, 1997, 2017, 1010, 2024, 2661, 1998, 2661, 1997, 1045, 1011, 6365, 2007, 2172, 9442, 4026, 1517, 1037, 2843, 1997, 9987, 3977, 1012, 2021, 1037, 2261, 2111, 2024, 10723, 2500, 2013, 2478, 2023, 9987, 3977, 1012, 1999, 2885, 1010, 2073, 4644, 9009, 2003, 9410, 1010, 2017, 2123, 1521, 1056, 2156, 1996, 15360, 1010, 5725, 16961, 1010, 1998, 2346, 7385, 2000, 1996, 6698, 2057, 2031, 2182, 1999, 1996, 1057, 1012, 1055, 1012, 2037, 10292, 2024, 2062, 8114, 1010, 2111, 3298, 5514, 1998, 2012, 2062, 8335, 10898, 1010, 1998, 2664, 2027, 2031, 8491, 20871, 1998, 2116, 8491, 19119, 1012, 2037, 2375, 7285, 4282, 1996, 5197, 1997, 4363, 1996, 10914, 2330, 2005, 4026, 4834, 1998, 2024, 2172, 19059, 2000, 7281, 2619, 2005, 10851, 1037, 4644, 1006, 2187, 2030, 2690, 1007, 2084, 21485, 1012, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2070, 2530, 2163, 2031, 16348, 4644, 9009, 2005, 2086, 1998, 3728, 3146, 2211, 2725, 2061, 1998, 2047, 3933, 3728, 2211, 11907, 7285, 1998, 3445, 21892, 2005, 10851, 1996, 2187, 4644, 1012, 5135, 2525, 2038, 1037, 2375, 1006, 18582, 1012, 2324, 1006, 2184, 1007, 1007, 9034, 12430, 4683, 1010, 7539, 1997, 2037, 3177, 2030, 1996, 3177, 5787, 1010, 2000, 2693, 2157, 1010, 2057, 2074, 2342, 2000, 4088, 27455, 2009, 1012, 2116, 2111, 2228, 2008, 2023, 12033, 2069, 2000, 4683, 3048, 12430, 2084, 1996, 3177, 5787, 1010, 2021, 2008, 2003, 2025, 1996, 2553, 1998, 2089, 2022, 1996, 13675, 5602, 1997, 1996, 3291, 1012, 3383, 2062, 2590, 1010, 2111, 2342, 2000, 3305, 2339, 2057, 2031, 2008, 2375, 1998, 2339, 2009, 1521, 1055, 2108, 16348, 1012, 2027, 2342, 2000, 3305, 2008, 10851, 1996, 2187, 4644, 3475, 1521, 1056, 2074, 2114, 1996, 2375, 1010, 2021, 2008, 2037, 10851, 1996, 4644, 3084, 2256, 18799, 2015, 6022, 2062, 4795, 2005, 3071, 1998, 17044, 14540, 2100, 5320, 1037, 4026, 9389, 1012, 2178, 2126, 2000, 2228, 1997, 2009, 2003, 2023, 1517, 2568, 1996, 6578, 1516, 2065, 1996, 2482, 2369, 2017, 2003, 3553, 2084, 1996, 2482, 1999, 2392, 1997, 2017, 1010, 2017, 3497, 2342, 2000, 2693, 2157, 1998, 2292, 2500, 16462, 1996, 2686, 1999, 1996, 6578, 1999, 2392, 1997, 2017, 1012, 5725, 16961, 2003, 4795, 1012, 4372, 29181, 2075, 2060, 6853, 2003, 4795, 1012, 15360, 1999, 1998, 2041, 1997, 4026, 2003, 4795, 1012, 20316, 10898, 1999, 1996, 2168, 4644, 2003, 4795, 1012, 4458, 2006, 1996, 2157, 2003, 4795, 1012, 1998, 2057, 6464, 8627, 2035, 1997, 2023, 2011, 2025, 27455, 4644, 9009, 1517, 2562, 2157, 3272, 2000, 3413, 1012, 2057, 3497, 2031, 2438, 2346, 3302, 1010, 2057, 2074, 2342, 2000, 2224, 2009, 2062, 9689, 1998, 18228, 1012, 2057, 2031, 2498, 2000, 4558, 1998, 9280, 2172, 2000, 5114, 2011, 27455, 2070, 4644, 14571, 1012, 2065, 4026, 4247, 2000, 2022, 1037, 3278, 3291, 1010, 2059, 2057, 2064, 5136, 5938, 8817, 2005, 4469, 10914, 1012, 1996, 2279, 2051, 2017, 1521, 2128, 5881, 1999, 1037, 1523, 11588, 1524, 4026, 9389, 1010, 10210, 2015, 2744, 2005, 2216, 9389, 2015, 2008, 2017, 2131, 2000, 1996, 2392, 1997, 2069, 2000, 2424, 2498, 2045, 2000, 2031, 5525, 3303, 2009, 1010, 5136, 2023, 1025, 2017, 2024, 3497, 1999, 2023, 9389, 4283, 2000, 1037, 4644, 3796, 2121, 2030, 2048, 1012, 2065, 2111, 2274, 1010, 2702, 1010, 2030, 4228, 2781, 3283, 2910, 1521, 1056, 8534, 1996, 2187, 4644, 1010, 1996, 2111, 1999, 2392, 1997, 2017, 2052, 2022, 2582, 2091, 1996, 2346, 2157, 2085, 2612, 1997, 3564, 1999, 2392, 1997, 2017, 1012, 3745, 2023, 1024, 10373, 9130, 10474, 2417, 23194, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1015, 1012, 2492, 1997, 1996, 11028, 1996, 2556, 11028, 14623, 2000, 1037, 4118, 2005, 5814, 1037, 20681, 5080, 1010, 2029, 1996, 4118, 2003, 5214, 1997, 8114, 3742, 2537, 1997, 2152, 1011, 2836, 20681, 5733, 2011, 1010, 2588, 9922, 1997, 1037, 20681, 5080, 1010, 15349, 18162, 2838, 1006, 1041, 1012, 1043, 1012, 1010, 2217, 24423, 1007, 2580, 2362, 2007, 1037, 9507, 5418, 2011, 4317, 7406, 1996, 9507, 5418, 1010, 2000, 5547, 1996, 10859, 1999, 12697, 6302, 9335, 5705, 1998, 2000, 3623, 5995, 1997, 3579, 1012, 1016, 1012, 6412, 1997, 1996, 3141, 2396, 2004, 1996, 14743, 4304, 1997, 6377, 13782, 2038, 3445, 1999, 3522, 2086, 1010, 2061, 2205, 2038, 1996, 9095, 2005, 20681, 5080, 5814, 3941, 2000, 6162, 3760, 3444, 2946, 1517, 7060, 2008, 5383, 3210, 3005, 9381, 2003, 7820, 2084, 1996, 19934, 1997, 7524, 2422, 4846, 1999, 1996, 5814, 2832, 1012, 2247, 2007, 2023, 9874, 1010, 4989, 1997, 15806, 2008, 2064, 3965, 2986, 1010, 2152, 1011, 5813, 7060, 2038, 2042, 4146, 1010, 1998, 4403, 5670, 15806, 2107, 2004, 2431, 5524, 15806, 2024, 6233, 2109, 1999, 1996, 5507, 25852, 26228, 2974, 1012, 1996, 2431, 5524, 15806, 2024, 5056, 3560, 1999, 9229, 5813, 1010, 2021, 3086, 3791, 2000, 2022, 3825, 2000, 1996, 2755, 2008, 2027, 2089, 3443, 2217, 24423, 1006, 4942, 1011, 11373, 1007, 2105, 1037, 3078, 3444, 1012, 2000, 4468, 2023, 1010, 1037, 2965, 1997, 10723, 1996, 4245, 1997, 2217, 24423, 2038, 7511, 2135, 2042, 3024, 2006, 1996, 7308, 1012, 2019, 2742, 1997, 1996, 18921, 26966, 2965, 3024, 2006, 1996, 7308, 2950, 2005, 6013, 1037, 4118, 2011, 2029, 1996, 4245, 1997, 2217, 24423, 2003, 8729, 2011, 19018, 13675, 7060, 2006, 2752, 2073, 2217, 24423, 2024, 3497, 2000, 3711, 1012, 2096, 2023, 4118, 2064, 5147, 4652, 1996, 4245, 1997, 2217, 24423, 1010, 2009, 7336, 1996, 2224, 1997, 1037, 13012, 1011, 4309, 7308, 1997, 2093, 9014, 11427, 2000, 1996, 3739, 1997, 1996, 13675, 7060, 5412, 2058, 1996, 7308, 1010, 6885, 1037, 10859, 2006, 1996, 7308, 9922, 1998, 21262, 10569, 1997, 15806, 1012, 1999, 3433, 2000, 1996, 5157, 2005, 26954, 7060, 1010, 4942, 1011, 5813, 6509, 2838, 1006, 5034, 10354, 1007, 1010, 2029, 2024, 2025, 3214, 2000, 6140, 1010, 2024, 2085, 6233, 2872, 2058, 1996, 2128, 4588, 2571, 1999, 2344, 3952, 2000, 3623, 5995, 1997, 3579, 1012, 2023, 5034, 10354, 2974, 1010, 2174, 1010, 2003, 2028, 16726, 6509, 2838, 2323, 2025, 2022, 6267, 2006, 1996, 3302, 1997, 1996, 9507, 1998, 6516, 1996, 6509, 2838, 2024, 5412, 1999, 1996, 2128, 4588, 2571, 1999, 2107, 2946, 2008, 2027, 2079, 2025, 6140, 1012, 2005, 2023, 3114, 1010, 2045, 2003, 1037, 22718, 2000, 1037, 2582, 7620, 1997, 5995, 1997, 3579, 2011, 3432, 19018, 4659, 2312, 5034, 10354, 2015, 1010, 14879, 1996, 2224, 1997, 3469, 5034, 10354, 2015, 1012, 4973, 1997, 5418, 9621, 2015, 2005, 20681, 5733, 2024, 2216, 4820, 2119, 23563, 7060, 1997, 1037, 3327, 3526, 9621, 2004, 5939, 8197, 10451, 2011, 3638, 5733, 1998, 1037, 3528, 1997, 18154, 5412, 7060, 2004, 5939, 8197, 10451, 2011, 7961, 1048, 6190, 1012, 1999, 2116, 3572, 1996, 3638, 3526, 9621, 2003, 2881, 2478, 1996, 5300, 2008, 2024, 2087, 4187, 1999, 1996, 2640, 3513, 1997, 1996, 7978, 4245, 1012, 2028, 1997, 1996, 5507, 25852, 26228, 1011, 3378, 5813, 22415, 6786, 2005, 14570, 2075, 1996, 18921, 26966, 2003, 1996, 4118, 2008, 3594, 1037, 4403, 5670, 7308, 1010, 2029, 2003, 3701, 2109, 2005, 1996, 4195, 1997, 4187, 9014, 1012, 1999, 2023, 7634, 1010, 15806, 2005, 1037, 3384, 6970, 8663, 2638, 7542, 6741, 1006, 8198, 1013, 19874, 1007, 2024, 2216, 2007, 2625, 2838, 1006, 16556, 1007, 1012, 2182, 1010, 20965, 1012, 2184, 3065, 1037, 8040, 28433, 4588, 3193, 1997, 1037, 7312, 13996, 7524, 5080, 1010, 1998, 20965, 2015, 1012, 2340, 2050, 2000, 2340, 2278, 2265, 5433, 1997, 2236, 6302, 9335, 5705, 1997, 2536, 4127, 2008, 2024, 2109, 2588, 9922, 1997, 1037, 20681, 5080, 1012, 1996, 7312, 13996, 7524, 5080, 3491, 1999, 20965, 1012, 2184, 2950, 2019, 21203, 2422, 3120, 7886, 1010, 2019, 21203, 9380, 2291, 9645, 2005, 14669, 2422, 2013, 1996, 21203, 2422, 3120, 7886, 2000, 1037, 2128, 4588, 2571, 9800, 1006, 6302, 9335, 2243, 1007, 2872, 2006, 1037, 2128, 4588, 2571, 2754, 9402, 1010, 1998, 1037, 13996, 9380, 2291, 1010, 2029, 2003, 1037, 7312, 13996, 10014, 8746, 1012, 1996, 21203, 9380, 2291, 9645, 2950, 2019, 29413, 5259, 7287, 1010, 1037, 4875, 3239, 10014, 11118, 1010, 1998, 2019, 18892, 22939, 8458, 29181, 2213, 11176, 1012, 2422, 2013, 1996, 21203, 2422, 3120, 7886, 2003, 8546, 2000, 1996, 2128, 4588, 2571, 9800, 2083, 1996, 21203, 9380, 2291, 9645, 1010, 1998, 1996, 5418, 2006, 1996, 2128, 4588, 2571, 9800, 2003, 11310, 3031, 1996, 9507, 6741, 2006, 1037, 11333, 7512, 2083, 1996, 7312, 13996, 10014, 8746, 1012, 3602, 2008, 1999, 7524, 5733, 2478, 4654, 6895, 5017, 23965, 2004, 1037, 2422, 3120, 1010, 1996, 29413, 5259, 7287, 2003, 2025, 3024, 1010, 1998, 1996, 21203, 2422, 3120, 7886, 4240, 2004, 1037, 9138, 7504, 3120, 1012, 1037, 7308, 9402, 3491, 1999, 20965, 1012, 2340, 2050, 2003, 1037, 18546, 7308, 2008, 2003, 2036, 3615, 2000, 2004, 1037, 12441, 7308, 1010, 1999, 2029, 1037, 3384, 7308, 2075, 2143, 13092, 2107, 2004, 13675, 7060, 2003, 2719, 2058, 1037, 24209, 20591, 4318, 5127, 12606, 1012, 2478, 1037, 7312, 13996, 7524, 5080, 2066, 2008, 3491, 1999, 20965, 1012, 2184, 1010, 1037, 5418, 2003, 11310, 3031, 1037, 11333, 7512, 10114, 2011, 2965, 1997, 2422, 4458, 2083, 13675, 1011, 2489, 2752, 1997, 1996, 7308, 6036, 1012, 1037, 7308, 7558, 3491, 1999, 20965, 1012, 2340, 2497, 2003, 1037, 2431, 5524, 4403, 5670, 7308, 2383, 4100, 1011, 13338, 12392, 4857, 2143, 7060, 14078, 2081, 3952, 1997, 9587, 5332, 2030, 1996, 2066, 3024, 2058, 1037, 24209, 20591, 4318, 5127, 14677, 1012, 1037, 7308, 8574, 3491, 1999, 20965, 1012, 2340, 2278, 2003, 1037, 23310, 6132, 2239, 4403, 5670, 7308, 2008, 2003, 7235, 2000, 1996, 18546, 7308, 1006, 7308, 6036, 1007, 3491, 1999, 20965, 1012, 2340, 2050, 3272, 2008, 1037, 14185, 15471, 2003, 2719, 2008, 7137, 8380, 3014, 4403, 5670, 1999, 3327, 2422, 4458, 2083, 1996, 24209, 20591, 4318, 5127, 12606, 1012, 20965, 1012, 2260, 3065, 1037, 2422, 8015, 4353, 4663, 2043, 1996, 11333, 7512, 2003, 6086, 2478, 1996, 18546, 7308, 1006, 7308, 6036, 1007, 3491, 1999, 20965, 1012, 2340, 2050, 1010, 1998, 20965, 1012, 2410, 3065, 1037, 2422, 8015, 4353, 4663, 2043, 1996, 11333, 7512, 2003, 6086, 2478, 1996, 2431, 5524, 4403, 5670, 7308, 1006, 7308, 7558, 1007, 3491, 1999, 20965, 1012, 2340, 2497, 1012, 1037, 7831, 2090, 1996, 2422, 8015, 20611, 1997, 20965, 2015, 1012, 2260, 1998, 2410, 7657, 1996, 5966, 1999, 2422, 8015, 2090, 2367, 15806, 1012, 7727, 4919, 2000, 20965, 1012, 2410, 1010, 4659, 2235, 3893, 11373, 2024, 2464, 2012, 2593, 2217, 1997, 1996, 2364, 3893, 4672, 2005, 1996, 3444, 14506, 1025, 2122, 2235, 11373, 2024, 1996, 6827, 3426, 1997, 2217, 24423, 2008, 2024, 3563, 2000, 2431, 5524, 4403, 5670, 15806, 1012, 2019, 2742, 1997, 2129, 2217, 24423, 2024, 2580, 1999, 1996, 9507, 5418, 2097, 2022, 2649, 2917, 1012, 20965, 1012, 2403, 2050, 2003, 1037, 2327, 3193, 1997, 1037, 7308, 5418, 5018, 2109, 2588, 2537, 1037, 7744, 3614, 2008, 2003, 2109, 2005, 10723, 1996, 4443, 1997, 14098, 2046, 20229, 4810, 1048, 5332, 11772, 2013, 1996, 2648, 1012, 1996, 7744, 3614, 2003, 2036, 3615, 2000, 2004, 1037, 14098, 5012, 3614, 1012, 20965, 1012, 2403, 2497, 2003, 2019, 3746, 3193, 1997, 1037, 9507, 5418, 2719, 2478, 1996, 7308, 5418, 5018, 1012, 2009, 2003, 10358, 2008, 2045, 2024, 2217, 24423, 1055, 7013, 1999, 2752, 2060, 2084, 1996, 9059, 5418, 5018, 1997, 20965, 1012, 2403, 2497, 1010, 2029, 2024, 2025, 2556, 1999, 1996, 7308, 5418, 5018, 1997, 20965, 1012, 2403, 2050, 1012, 1996, 3739, 1997, 2217, 24423, 1055, 1999, 1996, 9507, 2588, 7524, 1997, 1996, 11333, 7512, 3463, 1999, 9507, 5418, 7859, 1010, 8021, 1997, 1996, 2217, 24423, 1055, 2044, 4385, 12053, 1010, 4385, 1012, 1010, 2877, 2000, 3532, 5080, 3737, 1012, 2947, 1010, 2045, 2038, 2042, 1037, 2342, 2000, 4685, 1037, 9507, 7524, 2832, 2096, 9992, 1996, 4325, 1997, 2107, 2217, 24423, 1012, 3602, 2008, 2130, 2043, 1996, 3078, 3444, 2038, 1996, 2168, 4338, 2004, 1996, 7744, 3614, 1010, 2714, 2217, 21833, 1011, 3141, 3471, 5258, 1012, 2947, 2009, 2038, 2042, 3223, 2000, 3477, 3086, 2043, 7161, 2000, 6162, 2240, 9148, 11927, 7898, 1997, 2055, 2062, 2084, 2093, 2335, 2004, 2312, 2004, 1996, 10124, 2240, 9148, 11927, 7898, 1997, 1996, 7978, 4245, 1010, 5834, 2006, 1996, 4292, 1997, 7308, 13827, 2012, 1996, 3115, 7524, 13004, 1010, 2295, 1012, 20965, 1012, 2321, 2050, 3065, 2019, 2742, 1997, 1037, 7308, 9621, 2005, 4920, 5418, 1010, 2029, 2003, 3024, 2007, 5034, 10354, 2015, 2008, 2031, 2468, 4703, 2109, 1012, 2004, 3491, 1999, 20965, 1012, 2321, 2050, 1010, 6509, 2838, 17365, 2024, 5412, 2105, 1037, 3078, 3444, 8148, 1999, 2107, 1037, 2126, 2008, 2027, 6509, 7524, 2083, 1996, 3078, 3444, 8148, 1012, 2009, 2038, 2042, 3491, 2008, 2023, 7308, 9621, 2064, 3623, 5995, 1997, 3579, 1006, 2079, 2546, 1007, 1012, 1996, 2946, 1998, 2597, 1997, 1996, 5034, 10354, 2015, 2024, 4340, 1999, 2422, 1997, 1996, 3785, 1997, 1996, 9507, 7524, 2832, 1025, 2174, 1010, 2009, 2003, 3227, 2590, 2000, 5676, 2008, 5034, 10354, 2015, 2196, 6140, 1012, 11914, 1010, 2348, 2079, 2546, 2003, 3053, 14267, 2000, 1996, 2946, 1997, 1037, 5034, 10354, 1010, 5034, 10354, 2015, 2342, 2000, 2022, 2109, 1999, 2107, 1037, 2126, 2008, 2027, 2196, 6140, 2006, 1996, 9507, 1010, 1998, 3568, 1010, 2045, 2003, 2019, 3356, 5787, 2007, 4847, 2000, 2037, 3850, 3468, 2946, 1012, 2065, 1996, 2946, 1997, 5034, 10354, 23651, 2023, 3356, 5787, 1010, 2009, 3463, 1999, 1996, 4195, 1997, 18162, 2838, 17867, 1010, 2029, 2024, 5173, 2013, 1996, 6509, 7060, 17365, 1010, 2012, 4460, 2060, 2084, 1996, 3078, 3444, 8148, 1010, 2004, 3491, 1999, 20965, 1012, 2321, 2497, 1012, 2000, 9462, 2023, 3291, 1996, 2206, 4118, 2038, 2042, 3818, 1010, 2005, 2742, 1010, 2029, 8681, 1996, 4084, 1997, 8021, 1037, 6302, 9335, 2243, 5418, 3031, 1037, 7760, 6132, 13043, 24604, 2143, 1010, 11717, 2019, 5648, 1999, 1996, 7760, 6132, 13043, 24604, 2143, 1010, 5716, 1037, 2892, 13767, 3085, 3430, 1011, 4820, 24604, 2143, 2058, 1996, 7760, 6132, 13043, 24604, 2143, 1010, 1998, 3395, 2075, 2119, 1997, 1996, 24604, 3152, 2000, 3684, 3949, 2000, 3499, 1996, 2892, 13767, 3085, 3430, 2000, 13595, 2892, 13767, 2075, 2000, 2433, 1037, 4668, 6741, 2012, 2037, 8278, 1010, 13557, 6267, 18162, 2838, 2024, 5892, 2013, 1996, 6267, 2838, 1006, 2156, 2887, 7353, 4646, 4201, 1011, 2330, 2053, 1012, 2541, 1011, 4002, 22203, 2683, 2581, 1007, 1012, 2023, 4118, 2003, 1010, 2174, 1010, 3132, 2000, 5072, 2135, 26986, 9507, 2015, 1999, 3408, 1997, 12711, 9507, 2015, 1010, 1998, 2947, 1996, 2846, 1997, 4989, 1997, 2800, 1997, 9507, 4475, 2003, 4867, 1012, 1999, 2804, 1010, 2892, 13767, 2075, 9597, 1999, 1996, 2892, 13767, 3085, 3430, 1011, 4820, 24604, 2143, 2024, 3697, 2000, 2491, 1012, 2947, 1010, 2007, 2023, 4118, 1010, 18162, 2838, 1997, 9671, 10826, 3685, 9352, 2022, 3718, 5147, 2981, 1997, 1996, 4127, 1997, 9507, 4475, 1012, 2009, 2003, 2019, 4874, 1997, 1996, 2556, 11028, 2000, 3073, 1037, 4118, 2005, 5814, 1037, 20681, 5080, 1010, 2029, 1996, 4118, 2003, 5214, 1997, 8114, 3742, 2537, 1997, 2152, 1011, 2836, 20681, 5733, 2011, 1010, 2588, 9922, 1997, 1037, 20681, 5080, 1010, 15349, 18162, 2838, 1006, 1041, 1012, 1043, 1012, 1010, 2217, 24423, 1007, 2580, 2362, 2007, 1037, 9507, 5418, 2011, 4317, 7406, 1996, 9507, 5418, 1010, 2000, 8558, 5547, 1996, 10859, 1999, 12697, 6302, 9335, 5705, 1998, 2000, 3623, 5995, 1997, 3579, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2410, 1050, 1012, 1046, 1012, 6535, 1006, 4052, 1007, 5818, 1037, 1012, 14134, 4583, 8788, 2389, 23506, 1010, 20579, 1011, 10439, 24178, 1010, 1058, 1012, 8227, 4674, 9395, 2078, 23506, 1010, 13474, 1011, 6869, 4765, 1012, 1996, 4259, 2457, 1997, 2047, 3933, 1012, 5275, 2233, 1023, 1010, 4052, 1012, 4373, 9077, 2094, 2258, 2322, 1010, 4052, 1012, 2787, 2238, 2570, 1010, 4052, 1012, 1008, 6445, 2720, 1012, 11527, 1041, 1012, 14548, 8684, 5275, 1996, 3426, 2005, 10439, 24178, 1006, 6752, 2869, 1012, 11320, 2213, 1010, 4189, 8751, 1004, 6469, 1010, 16214, 1007, 1012, 2720, 1012, 2198, 1042, 1012, 4575, 5275, 1996, 3426, 2005, 6869, 4765, 1006, 6752, 2869, 1012, 4575, 1004, 18906, 2891, 1010, 16214, 1007, 1012, 1996, 5448, 1997, 1996, 2457, 2001, 5359, 2011, 2002, 5886, 1010, 1046, 1012, 1996, 5574, 2003, 2013, 1037, 8689, 28913, 1996, 12087, 1012, 1008, 6640, 1996, 24665, 12462, 3549, 1997, 1996, 12254, 3426, 1997, 2895, 2003, 28616, 2890, 28994, 19304, 1010, 9861, 1010, 11703, 20175, 1998, 19819, 3672, 9382, 9051, 2011, 13474, 13557, 20579, 2001, 10572, 2000, 2191, 1037, 1000, 3510, 4093, 1000, 2006, 13474, 2029, 2443, 1037, 16636, 6651, 1010, 2044, 3510, 1010, 17447, 2075, 1999, 20579, 1998, 13474, 2019, 3776, 2011, 1996, 15700, 1999, 20579, 1005, 1055, 13160, 2160, 1999, 1996, 5538, 1997, 7987, 9257, 2571, 1010, 2047, 3933, 1010, 1998, 2036, 2512, 9247, 16402, 2100, 1997, 1996, 15046, 1012, 3648, 17602, 2179, 2008, 20579, 2018, 2025, 8760, 1996, 2006, 2271, 1997, 6947, 1997, 9861, 1012, 2002, 2001, 1997, 1996, 5448, 2008, 20579, 1005, 1055, 1000, 10896, 3061, 2894, 1010, 2777, 2007, 13474, 1005, 1055, 14920, 2015, 1010, 2515, 2025, 8984, 1996, 3154, 1998, 13359, 6947, 2015, 6827, 2000, 4372, 3775, 9286, 2032, 2000, 1996, 4335, 2002, 11014, 1012, 1000, 2057, 7378, 13474, 1005, 1055, 5574, 2006, 2256, 2219, 4367, 1012, 1996, 5286, 1997, 5574, 4119, 1996, 9556, 2081, 1999, 1996, 6020, 2457, 2004, 2025, 1999, 10388, 2007, 1996, 3350, 1010, 2119, 2004, 2000, 9861, 1998, 6959, 1025, 1998, 7561, 2003, 2036, 4137, 2588, 1996, 7667, 1997, 1037, 9517, 7408, 2114, 20579, 1012, 2023, 2003, 1996, 2553, 2081, 2011, 1996, 12087, 1024, 1999, 2281, 4085, 1010, 2044, 1037, 4766, 18363, 2096, 2006, 10885, 1999, 13525, 1010, 20579, 1010, 1037, 7794, 2121, 6163, 2086, 1997, 2287, 1010, 3818, 3510, 2000, 13474, 1010, 1037, 7794, 4720, 2086, 2214, 1010, 2021, 2016, 17183, 3126, 5596, 1000, 2006, 1996, 2598, 2008, 2107, 3510, 2052, 2765, 1999, 2307, 3361, 3279, 1998, 3891, 2000, 2014, 1010, 1000, 5052, 2000, 20579, 2008, 2016, 2001, 1000, 1996, 3841, 12879, 24108, 2854, 2005, 2166, 2030, 2127, 2128, 7849, 4360, 3351, 1997, 1996, 3318, 1997, 1037, 3056, 3404, 4636, 2511, 2011, 1996, 2197, 2097, 1998, 9025, 1997, 2028, 6127, 12551, 9395, 2078, 1997, 5087, 1010, 2563, 1010, 1000, 1996, 10181, 2269, 1997, 2014, 10181, 3129, 1010, 3815, 2075, 1999, 1996, 5658, 2000, 1015, 1010, 3156, 7038, 10933, 2566, 28907, 1010, 1998, 2008, 2011, 1996, 3408, 1998, 3785, 1997, 1996, 3404, 1000, 2014, 3318, 2052, 13236, 4498, 1998, 20868, 2890, 6767, 3540, 6321, 2065, 2016, 2323, 2128, 7849, 2854, 1010, 1000, 1998, 1000, 2016, 2018, 2053, 3200, 1010, 2030, 3318, 4998, 2013, 1996, 3318, 2013, 2056, 3404, 1010, 1000, 1998, 1000, 2005, 2216, 4436, 2016, 2071, 2025, 8984, 2000, 2128, 7849, 2854, 2302, 1037, 6937, 3510, 4093, 1010, 11706, 2000, 5851, 2014, 2925, 3361, 3036, 1999, 22470, 1997, 2056, 2166, 5754, 18518, 1012, 1000, 20579, 1010, 18345, 2588, 1996, 3606, 1997, 1996, 15066, 1010, 1000, 5763, 13474, 2008, 2065, 2016, 2052, 5138, 2010, 3749, 1997, 3510, 2002, 2052, 1010, 1999, 2804, 2000, 4637, 2014, 2004, 2010, 2564, 1010, 5851, 2014, 3361, 2925, 2000, 1996, 6698, 1997, 2010, 2965, 1999, 1996, 1008, 6391, 2724, 2008, 2002, 2323, 3653, 3207, 21456, 3366, 2014, 2011, 14391, 2000, 2014, 2010, 2972, 3776, 1010, 2107, 15210, 2000, 2202, 3466, 2588, 2010, 2331, 1998, 2000, 2022, 2081, 1999, 9584, 1997, 1998, 7704, 24964, 14905, 28393, 3672, 2005, 2014, 3279, 1997, 3318, 1000, 2104, 1996, 3404, 1012, 13474, 3970, 20579, 1005, 1055, 6378, 1997, 3510, 1000, 3395, 2000, 2056, 3818, 9347, 2005, 2014, 2925, 3361, 3036, 1999, 1996, 2724, 2008, 20579, 2323, 3653, 3207, 21456, 3366, 2014, 1012, 1000, 1996, 3510, 2001, 19487, 3550, 2285, 1017, 1010, 4085, 1010, 2012, 26584, 1010, 2047, 3933, 1012, 3202, 2206, 1996, 3510, 1010, 1998, 1999, 17975, 2588, 1996, 3606, 1997, 1996, 1000, 15066, 1010, 1000, 1998, 2000, 3466, 20598, 1996, 1000, 3510, 4093, 1010, 1000, 20579, 6472, 1000, 8195, 2000, 5323, 13474, 2004, 3841, 12879, 24108, 2854, 1997, 20579, 1005, 1055, 2166, 5427, 6043, 1010, 1037, 2197, 2097, 1998, 9025, 1998, 1006, 2005, 1996, 3800, 1997, 7163, 4328, 6774, 12839, 7773, 1007, 1037, 15046, 1997, 16636, 6651, 1000, 2005, 1996, 4915, 1999, 4848, 1000, 3832, 2043, 5359, 2000, 10463, 20579, 1005, 1055, 3776, 1000, 1999, 1996, 4915, 1000, 2046, 2019, 3776, 2011, 1996, 15700, 1999, 20579, 1998, 13474, 1012, 1000, 1999, 2344, 2008, 1000, 1996, 12598, 2453, 2022, 2949, 2011, 1996, 6959, 1997, 2035, 1997, 1996, 5693, 2012, 2028, 2051, 1010, 2107, 2051, 2000, 2022, 5412, 2044, 2035, 1997, 2068, 2323, 2022, 6472, 1010, 20579, 2069, 6472, 2056, 15046, 1997, 16636, 6651, 2006, 2285, 1017, 1010, 4085, 1998, 3303, 2009, 2000, 2022, 2680, 1999, 1996, 7805, 1005, 1055, 2436, 1997, 20433, 2221, 2006, 2285, 2403, 1010, 4085, 1012, 1000, 2044, 3405, 1010, 1996, 2221, 7805, 2513, 1996, 15046, 1000, 2000, 20579, 1005, 1055, 4905, 2004, 2856, 1000, 1025, 1998, 1996, 1000, 15046, 2001, 2196, 5359, 2000, 13474, 1010, 4496, 2106, 20579, 2412, 13566, 2000, 2191, 1037, 2556, 6959, 1997, 2009, 1010, 4496, 2020, 2151, 1997, 1996, 2060, 5693, 5359, 1012, 1000, 1000, 2006, 2030, 2055, 2285, 2321, 1010, 4085, 1010, 20579, 2150, 10027, 1997, 1996, 3606, 20938, 1000, 1997, 13474, 1005, 1055, 15066, 1000, 2138, 2016, 4188, 2000, 4604, 2000, 2563, 2005, 1037, 6100, 1000, 1997, 1996, 9395, 2078, 2097, 1010, 1000, 2004, 2016, 2018, 3530, 2000, 2079, 1000, 1025, 1998, 2002, 1000, 2045, 6279, 2239, 3303, 2019, 4812, 2000, 2022, 2081, 2029, 21362, 1000, 2008, 1996, 10181, 9395, 2078, 1000, 2018, 2025, 2580, 2151, 3404, 18971, 1999, 5684, 1997, 13474, 1010, 2011, 2010, 2097, 2030, 4728, 1010, 1000, 1998, 13474, 2018, 2025, 2042, 1999, 24306, 1997, 2019, 3318, 1999, 2151, 3815, 2013, 1996, 9395, 2078, 2155, 4745, 2000, 1996, 2331, 1997, 6127, 2006, 2255, 2340, 1010, 3912, 1010, 1998, 1000, 2018, 2025, 2042, 2019, 5754, 14663, 4630, 2104, 2151, 3404, 18971, 1012, 1000, 1008, 5594, 2009, 2003, 13642, 20529, 2008, 2018, 20579, 2124, 1997, 1996, 6904, 4877, 3012, 1997, 1996, 1000, 15066, 1010, 1000, 2002, 1000, 2052, 2025, 2031, 3530, 2000, 2191, 2056, 4093, 1012, 1000, 20579, 11014, 8689, 1024, 1006, 1037, 1007, 11675, 2075, 1996, 3820, 2000, 2191, 1996, 3510, 4093, 1010, 1998, 1006, 1038, 1007, 10037, 2075, 1996, 16636, 6651, 2000, 2022, 11675, 2030, 1010, 1999, 1996, 4522, 1010, 1996, 24501, 22987, 10992, 1997, 1996, 15046, 1998, 1037, 28667, 2239, 12417, 6651, 2000, 20579, 1012, 1996, 3904, 9048, 16173, 3401, 1997, 1996, 13647, 3404, 4636, 2030, 1000, 2166, 5754, 18518, 1000, 2003, 15848, 1025, 1996, 2437, 1997, 1996, 6630, 2003, 6380, 1012, 5262, 1010, 13474, 19514, 1999, 2014, 3437, 2000, 1996, 12087, 2008, 2016, 1000, 4188, 2195, 10340, 1997, 3510, 2011, 1996, 20579, 1010, 2302, 8263, 1010, 1998, 2633, 3970, 19325, 1010, 2069, 2006, 4650, 2008, 2014, 2345, 3437, 1000, 2022, 13366, 28849, 2094, 2127, 1000, 4495, 1000, 2001, 2018, 1996, 1000, 2488, 2000, 2113, 2169, 2060, 1010, 1000, 1998, 2009, 2071, 2022, 4340, 3251, 2030, 2025, 20579, 1005, 1055, 2336, 2052, 1000, 4874, 1000, 1998, 1000, 12346, 1037, 17666, 21621, 2000, 1037, 3407, 3510, 1000, 1025, 1998, 2008, 1996, 7781, 1997, 1996, 15046, 1000, 2001, 11850, 1037, 10758, 2552, 2006, 20579, 1005, 1055, 2112, 1010, 2981, 1997, 2151, 3820, 1010, 8426, 2030, 3025, 6512, 1010, 2029, 15046, 2016, 2196, 2387, 1010, 1998, 1997, 2029, 2016, 2354, 2498, 1010, 3272, 2075, 2008, 2009, 2001, 6472, 1998, 2680, 2004, 20579, 2409, 2014, 1010, 2138, 1010, 2004, 2010, 2564, 2002, 2371, 2016, 2001, 4709, 2000, 2009, 2004, 1037, 5592, 1010, 1000, 1998, 2016, 1000, 2038, 2053, 2592, 1000, 27818, 1996, 2097, 1010, 2021, 2016, 23439, 2008, 2049, 1000, 7781, 1008, 1008, 1008, 2001, 1996, 2765, 1997, 2151, 7565, 1010, 8426, 1010, 4872, 2030, 3820, 3188, 2000, 1996, 3510, 1012, 1000, 1998, 13474, 1005, 1055, 10896, 15802, 2015, 2007, 1996, 3437, 1012, 2045, 2018, 2042, 2053, 6594, 3649, 2077, 1996, 3510, 1000, 2055, 2151, 3361, 6512, 2030, 2769, 2030, 2505, 2842, 1999, 4434, 2007, 17945, 3510, 1012, 1000, 3859, 2044, 2037, 3116, 1999, 13525, 1010, 2016, 3530, 2000, 1996, 3510, 1010, 1000, 2021, 2006, 2028, 4650, 2008, 1000, 2016, 1000, 2323, 3113, 2010, 2336, 2034, 1998, 2027, 2052, 5993, 2000, 1996, 3510, 1012, 1000, 2016, 2034, 1000, 2657, 1000, 1997, 1996, 15046, 1999, 3160, 2006, 2285, 2656, 1010, 4085, 1010, 1998, 2009, 2001, 1996, 20579, 2040, 3764, 1997, 2009, 1012, 2002, 2056, 1024, 1000, 1045, 2031, 2464, 1037, 2767, 2040, 2003, 2200, 29321, 1998, 1045, 2215, 2017, 2000, 2031, 2008, 3200, 1998, 1045, 2089, 2507, 2008, 3200, 2000, 2017, 2006, 2119, 3415, 1998, 2036, 1037, 2097, 1012, 1000, 2045, 2018, 2042, 2053, 3188, 6594, 1997, 1037, 2097, 1012, 1008, 6564, 20579, 28049, 2008, 2065, 1010, 1000, 2004, 2112, 1997, 1996, 3749, 1997, 3510, 1998, 4895, 22254, 18796, 2094, 2011, 2151, 27105, 28616, 2890, 28994, 19304, 2011, 1996, 13474, 1010, 1996, 6378, 2018, 2443, 1996, 4872, 2000, 2191, 1996, 15046, 1010, 1000, 1996, 15046, 2052, 2022, 10462, 1999, 19722, 19666, 6906, 3468, 1025, 1996, 1000, 22663, 9584, 2005, 1996, 15046, 2052, 2022, 1996, 13474, 1005, 1055, 2836, 1997, 2014, 4872, 2000, 5914, 1012, 1000, 2021, 2009, 2003, 7278, 2008, 2107, 2003, 2025, 1996, 3663, 3936, 2011, 1996, 16418, 2015, 1998, 1996, 6947, 2015, 1010, 2005, 2104, 13474, 1005, 1055, 2544, 1997, 1996, 12598, 1037, 4872, 1997, 1037, 3200, 4093, 2003, 1000, 5451, 2041, 2004, 1037, 9584, 2030, 19653, 3672, 2005, 1996, 3510, 1010, 1000, 1998, 1996, 16636, 6651, 2001, 1037, 5760, 5592, 1010, 10572, 2011, 2293, 1998, 12242, 2894, 1010, 1998, 1000, 2025, 1996, 3510, 1010, 2005, 1996, 3510, 2018, 2525, 2579, 2173, 1010, 1000, 2096, 1996, 3192, 1997, 20579, 1005, 1055, 12254, 3426, 1997, 2895, 2003, 1037, 4872, 1000, 24172, 2000, 2010, 3749, 1997, 3510, 1000, 10572, 2011, 13474, 1005, 1055, 1000, 28616, 2890, 28994, 19304, 2008, 2014, 2128, 7849, 4360, 3351, 2052, 2765, 1999, 1996, 3279, 1997, 2019, 2394, 5754, 18518, 1010, 1000, 2000, 1000, 2191, 2204, 1996, 3279, 2011, 2437, 1037, 3200, 9347, 2005, 2014, 1000, 1025, 1998, 2008, 1000, 2006, 1996, 3350, 1997, 2593, 2217, 2009, 2003, 3154, 2008, 2053, 16306, 3085, 14405, 2063, 1011, 16371, 13876, 4818, 3820, 2030, 3200, 4093, 2001, 2081, 2090, 1000, 1996, 4243, 1012, 2045, 2001, 2053, 2695, 1011, 16371, 13876, 4818, 3206, 1010, 2009, 2003, 15848, 1010, 1000, 2144, 1996, 3510, 1010, 2108, 2627, 1010, 2071, 2025, 12346, 1037, 9398, 9584, 1012, 1000, 2021, 2009, 2003, 2056, 2008, 2045, 2001, 1037, 2695, 1011, 16371, 13876, 4818, 4093, 2006, 1996, 2564, 1010, 1998, 2009, 5609, 2025, 3251, 2009, 2022, 8357, 1037, 1000, 5592, 1999, 29362, 1997, 2019, 3041, 4872, 1010, 2295, 16655, 2078, 14821, 3085, 1010, 2030, 1037, 2556, 13445, 15142, 2000, 2151, 14405, 26005, 16454, 4872, 1010, 1000, 2005, 1999, 2593, 2724, 1000, 2151, 9861, 29290, 1996, 5592, 6819, 10711, 4570, 2009, 1012, 1000, 2009, 2003, 9720, 2008, 1996, 3350, 4107, 2053, 2490, 2005, 1996, 7091, 2008, 1000, 1996, 3510, 2001, 1996, 19653, 3672, 1010, 1045, 1012, 1041, 1012, 1010, 1996, 9584, 2005, 1996, 15046, 1000, 1025, 1998, 1996, 4187, 3277, 2003, 3090, 2000, 2022, 1000, 3251, 1996, 15046, 1006, 2081, 1999, 29362, 1997, 2019, 3041, 4872, 1010, 2004, 1996, 20579, 4447, 1010, 2030, 2004, 1037, 2101, 5592, 1010, 2004, 1996, 13474, 4447, 1010, 1007, 2001, 2030, 2001, 2025, 10572, 2011, 1996, 13474, 1005, 1055, 28616, 2890, 28994, 19304, 1012, 1000, 1996, 13384, 2003, 2008, 20579, 1005, 1055, 4872, 2000, 3073, 2005, 2010, 2564, 1000, 2003, 10462, 5664, 2013, 1998, 2981, 1997, 1996, 8147, 2000, 5914, 1010, 1000, 1998, 2001, 2881, 1000, 2000, 6366, 2019, 17727, 2098, 14428, 3372, 2000, 1996, 2437, 1997, 1996, 3206, 2000, 1008, 6584, 5914, 1010, 1000, 1998, 1996, 1000, 7082, 9584, 1997, 1996, 3510, 2001, 1010, 15848, 2135, 1010, 1996, 8203, 3820, 1997, 1996, 4243, 2000, 16617, 1998, 4685, 1996, 5704, 1998, 14422, 5043, 2000, 1996, 3510, 1010, 6168, 1996, 4872, 2000, 2191, 9347, 2005 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 5530, 5095, 1010, 2254, 2459, 1010, 2325, 3645, 1021, 3590, 9017, 2065, 2017, 1005, 2128, 3236, 1999, 1037, 3663, 2073, 2017, 2031, 2288, 2439, 2115, 3645, 1021, 3590, 9017, 2275, 2039, 9785, 2030, 3714, 2009, 2011, 4926, 1010, 2017, 1005, 2222, 2022, 2583, 2000, 2012, 2035, 2335, 8816, 1037, 24473, 1997, 2115, 3645, 1021, 11163, 5371, 2013, 7513, 2993, 1012, 2116, 3633, 2024, 2788, 2025, 5204, 1997, 2023, 1998, 2087, 1997, 1996, 2051, 2027, 5373, 2203, 1997, 8816, 2075, 11304, 2094, 4809, 1997, 7513, 3645, 1021, 2013, 3365, 4573, 2006, 1011, 2240, 1012, 2224, 2151, 1997, 1996, 4725, 2029, 3544, 2000, 2022, 16325, 2005, 2017, 1012, 2004, 2005, 1996, 10697, 2009, 3849, 2000, 2022, 2019, 3277, 2247, 2007, 2115, 2524, 9785, 1012, 1037, 3435, 8224, 3945, 2097, 2191, 2009, 6082, 2000, 7523, 2041, 1037, 5576, 2005, 1996, 10697, 1012, 1045, 2031, 1037, 2047, 4624, 2327, 7473, 2008, 2038, 3645, 1021, 8442, 2176, 2978, 1012, 2004, 1037, 2765, 1997, 2026, 4007, 2565, 2006, 2026, 2897, 1045, 2052, 2066, 3590, 2978, 1012, 1045, 22817, 3645, 1021, 3590, 2978, 1060, 20842, 2394, 1010, 6402, 2009, 2000, 1037, 4966, 1010, 1998, 2699, 2000, 16500, 2009, 1012, 2009, 2097, 2025, 2292, 2033, 2175, 2067, 2000, 1037, 3590, 16313, 1012, 2515, 3087, 2113, 2054, 1045, 2064, 2079, 2000, 2131, 2153, 2000, 1037, 3590, 2978, 2291, 1029, 2151, 2393, 2453, 2022, 6551, 12315, 999, 2024, 2122, 11163, 2015, 1997, 2663, 1022, 2030, 2663, 1021, 1029, 1045, 3305, 2008, 2663, 1021, 2003, 1996, 9675, 2404, 1999, 2544, 2021, 1045, 2001, 3432, 8025, 2065, 2028, 2003, 2583, 2000, 3443, 1037, 3188, 2275, 2039, 3729, 2013, 4745, 2544, 2006, 2663, 1012, 1045, 2134, 1005, 1056, 2228, 2008, 2001, 4022, 1998, 2071, 2022, 2204, 2951, 2000, 2113, 1012, 7592, 1045, 2572, 2478, 2023, 2000, 2404, 1999, 2006, 1037, 12191, 3274, 2008, 2038, 26726, 1012, 1045, 22817, 1996, 5371, 2006, 2008, 12191, 2044, 2029, 2580, 1037, 9573, 3085, 5956, 3298, 1012, 1045, 1005, 1049, 3403, 2005, 2035, 1997, 2009, 2000, 7170, 3031, 1996, 5956, 2085, 2026, 3160, 2003, 2079, 1045, 3432, 13354, 2009, 1999, 2000, 1996, 12191, 2004, 2003, 2007, 26726, 2006, 2009, 2030, 2079, 1045, 2031, 2000, 2079, 13387, 2009, 2041, 2034, 1029, 1029, 3531, 2393, 2033, 1045, 1005, 2310, 2042, 22308, 2007, 2023, 3698, 2005, 1016, 2431, 2420, 2085, 1010, 2008, 2015, 2339, 1045, 2787, 2000, 2404, 3645, 1021, 2006, 2009, 1012, 2053, 1010, 2017, 2342, 2025, 13387, 2242, 1012, 2004, 2855, 2004, 2115, 9573, 3085, 18833, 5956, 3298, 2003, 3201, 1010, 2017, 2089, 7532, 1996, 18833, 5956, 3298, 2007, 2017, 7473, 1998, 2059, 23818, 2009, 1012, 2043, 2115, 12191, 23818, 2015, 1010, 2175, 2000, 1996, 16012, 2015, 1998, 2275, 1996, 18833, 5956, 3298, 2007, 2034, 9573, 23359, 1010, 3828, 1996, 10906, 1998, 23818, 1012, 2043, 2115, 3274, 6879, 2039, 2320, 2062, 2017, 2089, 2022, 9469, 2000, 2811, 1037, 3145, 2000, 2707, 1996, 3645, 1021, 8272, 1012, 7592, 2293, 16963, 2102, 1010, 2069, 1037, 3435, 3160, 1012, 1045, 22817, 2663, 1021, 4013, 8442, 2176, 1998, 5296, 1996, 19565, 2000, 9785, 1012, 2699, 23658, 2009, 2006, 2093, 3294, 2367, 7473, 1005, 1055, 1010, 2035, 1017, 12191, 1005, 1055, 6879, 18228, 1010, 2021, 2035, 2093, 11896, 3054, 2275, 2039, 1012, 2699, 1016, 2367, 2047, 4966, 1005, 1055, 1010, 2699, 3015, 2012, 1016, 2595, 10898, 14925, 2102, 1010, 2025, 2551, 1012, 2021, 1010, 2043, 1045, 2275, 2039, 1037, 1058, 2213, 3698, 2013, 1996, 19565, 2009, 2428, 2573, 27503, 1012, 2054, 2089, 9495, 2009, 2025, 2000, 2147, 2006, 4966, 1029, 2009, 17991, 5372, 1996, 2173, 2009, 4627, 2000, 9377, 1996, 3645, 16437, 2592, 1012, 2296, 2518, 2685, 2000, 1037, 28829, 4966, 2021, 1045, 1005, 2310, 11060, 1017, 6135, 2367, 4809, 2013, 2048, 6681, 1006, 2245, 2009, 2071, 2022, 2026, 4966, 3166, 1012, 1007, 1045, 2572, 22475, 2098, 1012, 4931, 12043, 1010, 4283, 2005, 1996, 7514, 1012, 2699, 1996, 18833, 6028, 1010, 2021, 2026, 7473, 3432, 17991, 2044, 1996, 2695, 2607, 1997, 1010, 5372, 3041, 2084, 2009, 1005, 1055, 4011, 2000, 9573, 1012, 1045, 1005, 2310, 2949, 2070, 27571, 18483, 1010, 2021, 2009, 3849, 2066, 1045, 1005, 1049, 1996, 2069, 2028, 2383, 2122, 7957, 1997, 2685, 1012, 2045, 29278, 1045, 1005, 2310, 2000, 1999, 7512, 2008, 1996, 3277, 2003, 4873, 2006, 2026, 2227, 2102, 1012, 1045, 2097, 9543, 5484, 1037, 2978, 2007, 2122, 7008, 1010, 1998, 3189, 2067, 2043, 1045, 7523, 1996, 3291, 1012, 1045, 1005, 2310, 2179, 2019, 14469, 2663, 1021, 9785, 2306, 1996, 12507, 1010, 2021, 2023, 2003, 17067, 2033, 2339, 1045, 2064, 2102, 2131, 2009, 2000, 2147, 1012, 8827, 4283, 2005, 2039, 18570, 2122, 1012, 2293, 16963, 2102, 1010, 9388, 2615, 2003, 2995, 1010, 2009, 3475, 1005, 1056, 2055, 2008, 2003, 2880, 4180, 3430, 2030, 2025, 1010, 9108, 2629, 2030, 23325, 2030, 2296, 2060, 14148, 2819, 4473, 2017, 2000, 9398, 3686, 2008, 2017, 3432, 22817, 1996, 5371, 2007, 2041, 7510, 2049, 11109, 1010, 2061, 2044, 2017, 8816, 1996, 5371, 2017, 3432, 3231, 1996, 9108, 2629, 2012, 3617, 2314, 8241, 5443, 1996, 9108, 2629, 1997, 1996, 5371, 1999, 2115, 3274, 1010, 2065, 2027, 2123, 1005, 1056, 4025, 2000, 2022, 1996, 2168, 2059, 2242, 2253, 25622, 2007, 9805, 2099, 8816, 1010, 1998, 2004, 1045, 2525, 2056, 1010, 2009, 2987, 2102, 2031, 2505, 2000, 2079, 2007, 3617, 2314, 2108, 2880, 7513, 16222, 25377, 13231, 1529, 1012, 7592, 1010, 2074, 2202, 1037, 2298, 2012, 1996, 2880, 7513, 21415, 1010, 2017, 1005, 2222, 7523, 1996, 29420, 2015, 2058, 2045, 5378, 2122, 23760, 13767, 2015, 2000, 3071, 1012, 2122, 4249, 2024, 3294, 5123, 1998, 2005, 2216, 2040, 2079, 1037, 8224, 3945, 2017, 2064, 2156, 2122, 6971, 2006, 2116, 2062, 22353, 11744, 1012, 2025, 1037, 2843, 1010, 2122, 11163, 2592, 2024, 2074, 2055, 1996, 2168, 3924, 2021, 2027, 2024, 2041, 2045, 23389, 2367, 6833, 1012, 2096, 5796, 2094, 2078, 2003, 2005, 16472, 1010, 3617, 24352, 14084, 2003, 2005, 1996, 5955, 4497, 7347, 1012, 2017, 2089, 2202, 1037, 2298, 2012, 1996, 7513, 21415, 1010, 2087, 29420, 2015, 2058, 2045, 3073, 3645, 1021, 23760, 13767, 2015, 4354, 2006, 3617, 24352, 1012, 2017, 2453, 2022, 5372, 1010, 2021, 1045, 2318, 2023, 11689, 2000, 3745, 2122, 3645, 1021, 23760, 13767, 2015, 1012, 1045, 2134, 1005, 1056, 2018, 2151, 2245, 1997, 2023, 2404, 2039, 5278, 2046, 2205, 3115, 1012, 1999, 2151, 2553, 2115, 12247, 2097, 2941, 6509, 3243, 1037, 2843, 1997, 2256, 7193, 1010, 4283, 6775, 1012, 1045, 2097, 5587, 2115, 23760, 13767, 2000, 1996, 2695, 1012, 2035, 2122, 3645, 1021, 11163, 1005, 1055, 2272, 2007, 2035, 1996, 11867, 2487, 14409, 1012, 1045, 2064, 2102, 2360, 2129, 2172, 3025, 2024, 2122, 1010, 2144, 7513, 2052, 2025, 3073, 2008, 18558, 1012, 2717, 8916, 2017, 1005, 2222, 2031, 2000, 8816, 2200, 2261, 14409, 2044, 2017, 2404, 1999, 3645, 1021, 2013, 2122, 11163, 1005, 1055, 1012, 2009, 3544, 7513, 2038, 8944, 2122, 3645, 1021, 11163, 2636, 2850, 2696, 1012, 1999, 1996, 5564, 2157, 2182, 2003, 2025, 2151, 13964, 2013, 7513, 2055, 2023, 1012, 2009, 2071, 2130, 2022, 1037, 5741, 3291, 1012, 1999, 2553, 7513, 3640, 7172, 3645, 1021, 11163, 4871, 1010, 1045, 1005, 2222, 5587, 2068, 2157, 2182, 1012, 2009, 3227, 9041, 2588, 2115, 4773, 4434, 1012, 2017, 3711, 2000, 2031, 1037, 6706, 4274, 4434, 1010, 2174, 2005, 3633, 2040, 4033, 1005, 1056, 2288, 2204, 4773, 4434, 1010, 1037, 8816, 3208, 2052, 2022, 1037, 2488, 3601, 1010, 2144, 2009, 2097, 2064, 2393, 2017, 13236, 1998, 13746, 1996, 8816, 15933, 1012, 7592, 1012, 1045, 2572, 8816, 2075, 2009, 2157, 2085, 1012, 1045, 2097, 16500, 2009, 2006, 1996, 2047, 3274, 1045, 2572, 9343, 4826, 1012, 3160, 2003, 1010, 2064, 1045, 8816, 2009, 2085, 2059, 3828, 2006, 1037, 5956, 3298, 2059, 2275, 2039, 2006, 1996, 4435, 2047, 12191, 1029, 2065, 2748, 1010, 2129, 1029, 4283, 999, 4067, 2017, 2005, 14739, 1998, 4346, 1996, 2951, 1012, 1045, 22817, 2054, 1045, 3373, 2001, 2026, 6413, 2944, 1998, 2044, 2275, 2039, 1010, 1045, 2131, 5881, 1999, 1037, 9573, 11066, 7561, 7077, 1012, 1037, 2193, 1997, 1996, 10697, 2360, 2045, 2024, 15584, 10697, 1012, 2070, 2024, 3038, 2045, 2024, 4394, 22752, 3787, 1012, 1045, 2572, 16911, 1996, 3645, 4185, 2978, 2188, 12882, 1999, 2394, 1998, 7161, 2000, 2404, 1999, 2023, 2006, 1037, 19102, 1050, 16068, 2692, 4606, 4979, 2338, 2008, 2018, 1037, 3645, 1021, 11753, 9998, 2174, 2038, 2144, 8007, 1012, 7592, 22765, 1010, 1045, 2180, 2102, 16755, 2017, 5128, 1999, 1037, 8442, 2176, 2978, 9808, 1999, 2115, 4979, 2338, 1012, 1045, 7039, 2041, 1996, 28699, 2015, 1998, 2009, 3849, 2008, 1996, 1015, 18259, 1997, 8223, 2006, 2115, 14960, 2089, 10654, 4842, 2049, 8122, 1012, 2007, 2026, 11532, 1010, 1045, 2064, 2391, 2041, 1996, 3291, 2000, 2022, 3141, 2362, 2007, 2115, 2524, 9785, 1012, 2017, 2442, 2132, 2058, 2000, 1996, 7513, 7923, 1998, 2424, 2041, 2065, 3087, 2842, 2038, 1996, 2168, 12482, 5178, 2004, 6737, 1012, 12191, 2053, 16429, 2182, 1012, 2061, 1010, 2044, 1045, 8816, 1996, 2544, 1045, 2018, 2006, 2026, 6522, 12191, 3274, 1010, 2059, 5128, 2009, 2006, 1037, 9573, 3085, 18833, 5956, 3298, 1010, 1045, 11276, 2000, 2022, 5214, 2000, 16500, 2009, 2006, 2026, 6097, 2478, 9573, 26468, 1029, 2047, 2000, 6097, 1998, 2001, 7135, 2000, 6148, 2041, 2045, 3475, 1005, 1056, 2151, 2173, 2000, 2404, 1999, 1037, 3729, 2006, 2023, 2518, 1012, 2017, 2031, 2000, 2022, 16911, 6097, 8654, 2250, 1010, 5372, 1029, 19957, 2006, 15038, 2015, 2017, 1005, 2222, 2022, 2583, 2000, 9578, 2275, 2039, 3645, 16911, 1037, 9573, 3085, 18833, 3298, 1012, 1999, 2553, 2017, 2525, 2580, 2028, 1010, 2175, 2000, 12944, 3945, 1998, 2828, 9573, 3409, 3353, 1524, 1010, 1998, 2017, 2064, 5454, 2169, 8816, 1996, 2087, 3522, 3645, 2393, 4007, 2013, 6207, 1524, 1998, 2275, 2039, 3645, 1021, 2030, 2101, 2944, 1524, 1012, 2017, 1005, 2222, 2022, 2583, 2000, 2059, 13571, 2115, 3298, 1998, 19274, 2115, 18833, 3298, 1010, 1998, 2036, 2017, 1005, 2128, 2204, 2000, 2175, 1012, 1045, 22817, 1998, 5361, 1996, 11163, 2044, 1006, 6289, 6633, 1007, 1037, 2388, 6277, 6110, 1006, 5335, 9587, 1011, 8945, 1013, 9090, 2291, 1007, 1025, 2174, 1045, 2215, 2000, 4236, 2026, 7513, 9537, 2013, 2026, 3025, 2388, 6277, 7473, 1998, 2059, 2275, 2039, 2026, 7209, 12200, 3642, 2101, 1012, 2021, 4445, 3642, 11082, 2033, 4236, 1012, 1045, 2018, 2018, 2000, 4965, 7209, 5335, 2000, 2131, 3645, 1999, 2394, 2004, 1996, 2887, 3645, 1021, 12191, 2106, 2025, 2031, 2019, 2394, 2653, 6061, 1007, 1012, 2044, 1045, 2175, 2000, 4236, 2012, 7513, 2009, 4136, 2033, 1045, 2064, 1005, 1056, 2079, 2008, 1998, 2101, 3640, 2033, 1037, 11712, 2000, 2655, 1012, 2174, 2027, 2089, 2025, 4236, 2026, 10218, 9537, 2119, 1006, 2138, 2027, 2031, 2042, 2109, 2006, 2026, 6289, 6633, 3041, 2388, 6277, 1007, 1010, 2027, 2788, 3855, 2027, 1005, 1040, 2404, 2033, 3081, 2000, 2070, 4087, 6509, 1998, 1996, 3042, 2253, 22185, 2012, 2037, 2203, 1012, 2017, 2323, 2022, 5214, 2000, 2224, 2115, 7642, 3145, 2000, 20544, 3645, 2004, 2146, 2004, 2017, 2453, 2022, 16911, 2009, 2006, 1037, 2309, 3274, 2012, 1037, 2051, 1012, 2144, 1045, 1005, 1049, 2025, 19957, 5204, 1997, 2023, 4009, 5963, 1010, 1037, 3618, 2173, 2000, 2424, 1037, 5576, 2000, 2115, 4009, 5963, 2064, 2022, 1996, 7513, 21415, 1012, 1045, 22817, 1998, 5361, 1996, 11163, 2044, 1006, 6289, 6633, 1007, 1037, 2388, 6277, 6110, 1006, 5335, 9587, 1011, 8945, 1013, 9090, 2291, 1007, 1025, 2021, 1045, 2342, 2000, 4236, 2026, 7513, 9537, 2013, 2026, 3041, 2388, 6277, 7473, 1998, 2059, 16500, 2026, 7209, 5335, 3642, 2101, 1012, 2174, 4445, 3642, 11082, 2033, 4236, 1012, 1045, 2018, 2018, 2000, 4965, 7209, 12200, 2000, 2131, 3645, 1999, 2394, 2138, 1996, 2887, 3645, 1021, 7473, 2106, 2025, 2031, 2019, 2394, 2653, 6061, 1007, 1012, 2000, 2131, 1996, 4031, 3145, 2017, 2071, 5309, 2009, 2013, 7513, 1010, 2045, 3475, 1005, 1056, 1037, 2489, 4031, 3145, 1012, 2065, 2017, 2031, 1037, 25963, 2663, 2581, 3274, 2461, 2008, 2017, 3432, 2123, 2102, 2224, 2017, 1005, 2222, 2022, 2583, 2000, 29453, 2224, 2049, 4031, 3145, 1010, 2295, 2017, 2089, 2215, 2000, 26709, 6593, 21466, 1996, 3645, 1021, 2006, 2008, 12191, 1010, 3432, 2000, 5676, 2009, 2573, 1012, 2053, 1010, 2017, 2342, 2025, 13387, 2505, 1012, 2004, 2574, 2004, 2115, 9573, 3085, 18833, 5956, 3298, 2003, 4810, 1010, 2017, 1005, 2222, 2022, 2583, 2000, 7532, 1996, 18833, 5956, 3298, 2007, 2017, 12191, 2044, 2029, 23818, 2009, 1012, 2043, 2115, 3274, 23818, 2015, 1010, 2175, 2000, 1996, 16012, 2015, 1998, 2275, 1996, 18833, 5956, 3298, 2007, 2034, 9573, 23359, 1010, 3828, 1996, 10906, 1998, 23818, 1012, 2043, 2115, 7473, 6879, 2039, 2153 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 6458, 1005, 1055, 2533, 1024, 4357, 2007, 21142, 1005, 1055, 6972, 11262, 2280, 1057, 1012, 1055, 1012, 5832, 2990, 5708, 2018, 2053, 2801, 2074, 2129, 2172, 2010, 2166, 2052, 5091, 2689, 2043, 1010, 2274, 2086, 3283, 1010, 2002, 1998, 2010, 9454, 2684, 11199, 9845, 2588, 1996, 2210, 2237, 1997, 21142, 1012, 2023, 2980, 8270, 1997, 3935, 4045, 2470, 1998, 2458, 2150, 2010, 1998, 11199, 1521, 1055, 2047, 2188, 1010, 2007, 5708, 2108, 18026, 2004, 1996, 2237, 1521, 1055, 2047, 6458, 1012, 2002, 2038, 2144, 2018, 2000, 3066, 2007, 11576, 4785, 3431, 1010, 3901, 27491, 22863, 19966, 2075, 1010, 13276, 16594, 3909, 13507, 1998, 2035, 5450, 1997, 2060, 9280, 23546, 28616, 3270, 4523, 2025, 2467, 2021, 2788, 4198, 2000, 2028, 1997, 1996, 11067, 2229, 2012, 1996, 2334, 2228, 1011, 4951, 3795, 10949, 1012, 2012, 1996, 2707, 1997, 21142, 1521, 1055, 2959, 2161, 1010, 5708, 1010, 2852, 1012, 10786, 6511, 1010, 2852, 1012, 2888, 14845, 1010, 2852, 1012, 5203, 23054, 1010, 1998, 4112, 8183, 11320, 6873, 2020, 2741, 2067, 1999, 2051, 2114, 2037, 2097, 2000, 4006, 1998, 1996, 4889, 1997, 21142, 1012, 2027, 3266, 2000, 2191, 2009, 2067, 2000, 1996, 2556, 2154, 1010, 2021, 2000, 2019, 6585, 17060, 2073, 2477, 2024, 2025, 2035, 3243, 1996, 2168, 1012, 1999, 2990, 1521, 1055, 2553, 1010, 2174, 1010, 2002, 2003, 2145, 6458, 1010, 1998, 1999, 1996, 2161, 1018, 1012, 1019, 16181, 1523, 6336, 7245, 1010, 1524, 2256, 5394, 2003, 4320, 2007, 2664, 2178, 24026, 3663, 2043, 23054, 1998, 6944, 12729, 9554, 4888, 3209, 2046, 3011, 8753, 27120, 2019, 2214, 2686, 18269, 2007, 1037, 3132, 4425, 1997, 7722, 1012, 1523, 2008, 2003, 1037, 2307, 2792, 1010, 1524, 2758, 21142, 1521, 1055, 2877, 2158, 6972, 11262, 1010, 2040, 3248, 6458, 5708, 1012, 1523, 1996, 2190, 2518, 2055, 2009, 2003, 23054, 1031, 6606, 3897, 7106, 1033, 1998, 6944, 1031, 21889, 3043, 1033, 1012, 2009, 2001, 4658, 2000, 2156, 2048, 2107, 10904, 5889, 7523, 2037, 1031, 2006, 18182, 1033, 6370, 2007, 2169, 2060, 1010, 1998, 2005, 1996, 2034, 2051, 2216, 2040, 2024, 3666, 2024, 2183, 2000, 2228, 1010, 1520, 10166, 1010, 2216, 4364, 2024, 27547, 2362, 1005, 1012, 1045, 2293, 2000, 2156, 2008, 2130, 2007, 1037, 2694, 2265, 2004, 2214, 2004, 14635, 1010, 2008, 2057, 1521, 2128, 2145, 2583, 2000, 2424, 1037, 2047, 12125, 2066, 2008, 1012, 1523, 1045, 2031, 1037, 2193, 1997, 5019, 1999, 1005, 6336, 7245, 1005, 2004, 2092, 2004, 1996, 2279, 2792, 1010, 1005, 16851, 1010, 1005, 2007, 10556, 6212, 3044, 1031, 4112, 5557, 1011, 2928, 2462, 1033, 1010, 2040, 2003, 2061, 4569, 2000, 2031, 2105, 1998, 2022, 2006, 1011, 2275, 2007, 1012, 2002, 1521, 1055, 2019, 6429, 2804, 2000, 1996, 2265, 1012, 10556, 6212, 3248, 1037, 8957, 1998, 1045, 4066, 1997, 17523, 2125, 1997, 2032, 1012, 1045, 2031, 2000, 6449, 2008, 2005, 2033, 2009, 5683, 3492, 3947, 3238, 2005, 1996, 2087, 2112, 1012, 10556, 6212, 2003, 1996, 2028, 2040, 2038, 2000, 2079, 1996, 1520, 3082, 8783, 1012, 1521, 2090, 1996, 2048, 1997, 2149, 2002, 1521, 1055, 2288, 1996, 6211, 3105, 2138, 2002, 1521, 1055, 2288, 2000, 10580, 2008, 2010, 2839, 2003, 1037, 8957, 2012, 2296, 2735, 2007, 2010, 17002, 2080, 1998, 2303, 15323, 1012, 1523, 2256, 6443, 2031, 2589, 2019, 9788, 3105, 2007, 1996, 5889, 2008, 2027, 1521, 2310, 2716, 27120, 1012, 2023, 2161, 2017, 1521, 2128, 2183, 2000, 2156, 1037, 2307, 3066, 2062, 1997, 10556, 6212, 2247, 2007, 27579, 2154, 1031, 2852, 1012, 9079, 20481, 2368, 1033, 1010, 19863, 10500, 2239, 1031, 2852, 1012, 7527, 11968, 18774, 1033, 1998, 4913, 17106, 1010, 2035, 1997, 3183, 2024, 4010, 1010, 4569, 3633, 2007, 2204, 2943, 1012, 1524, 1999, 1996, 3098, 27071, 1997, 1523, 6336, 7245, 1010, 1524, 2990, 5708, 2003, 5102, 1999, 1037, 10722, 19068, 2080, 1998, 4810, 2005, 1037, 5030, 1012, 2071, 2009, 2022, 2008, 1996, 6458, 1521, 1055, 2146, 1011, 21934, 27851, 7472, 2007, 2852, 1012, 10786, 6511, 1006, 16183, 3669, 9482, 1011, 1059, 16584, 3790, 1007, 2038, 2633, 2272, 2000, 1996, 26077, 1998, 1996, 2048, 2024, 2055, 2000, 5495, 1996, 12226, 1029, 2092, 1010, 2025, 3599, 1012, 2009, 4332, 2041, 2008, 1996, 5103, 2003, 1010, 1999, 2755, 1010, 2005, 4112, 5557, 1998, 2990, 1521, 1055, 6047, 4580, 1055, 1012, 1037, 1012, 1054, 1012, 1037, 1012, 1044, 1012, 2009, 3849, 5708, 1998, 10786, 2024, 2000, 3613, 5306, 1010, 2012, 2560, 2005, 2085, 1010, 1998, 2008, 2003, 2074, 2986, 2007, 11262, 1012, 1523, 2008, 1521, 1055, 2178, 7814, 1997, 1996, 2186, 2008, 1045, 1521, 1049, 2087, 7098, 1997, 1011, 1996, 2755, 2008, 1996, 4898, 2024, 3015, 1037, 1520, 3671, 1521, 3276, 2090, 2990, 1998, 10786, 1010, 1524, 3964, 1996, 3364, 1012, 1523, 2009, 22901, 3254, 1012, 2045, 2024, 3471, 1010, 2613, 3924, 1010, 1998, 27427, 8586, 19969, 2004, 2092, 1012, 2009, 1521, 1055, 2025, 1037, 8867, 6925, 7472, 2073, 2027, 2119, 2113, 2157, 2013, 1996, 2707, 2008, 2027, 1521, 2128, 2183, 2000, 2131, 2496, 1998, 2673, 2003, 18237, 2100, 10326, 2320, 2027, 2079, 1012, 1523, 10786, 2038, 2042, 5296, 1037, 3232, 1997, 2335, 1010, 4606, 2016, 2038, 2048, 2336, 1010, 2096, 2990, 2003, 9196, 1998, 2038, 1037, 2684, 1997, 2010, 2219, 1012, 1045, 2074, 2228, 2256, 4898, 3613, 2000, 2079, 1037, 2986, 3105, 1997, 5026, 2008, 4066, 1997, 4507, 2046, 1996, 8115, 2008, 2057, 1521, 2128, 6360, 2311, 2007, 2122, 2048, 3494, 1012, 2057, 2562, 3048, 2830, 2007, 2008, 2023, 2161, 1010, 2021, 2007, 2070, 14046, 1012, 1524, 1999, 1996, 17289, 1523, 16851, 1010, 1524, 2852, 1012, 9079, 20481, 2368, 8480, 1999, 21142, 2000, 2393, 12341, 4974, 2019, 2590, 2622, 4137, 2011, 1996, 1057, 1012, 1055, 1012, 2231, 2000, 3795, 10949, 1012, 2025, 10889, 1010, 2016, 7036, 2135, 2515, 2242, 2008, 27099, 1037, 3663, 2073, 1037, 2193, 1997, 21142, 1521, 1055, 3901, 2735, 2114, 2028, 2178, 1012, 2023, 2792, 1010, 2247, 2007, 2035, 1997, 2161, 1018, 1012, 1019, 1010, 2001, 6361, 1999, 2230, 1010, 1998, 2108, 2061, 2146, 3283, 1010, 1996, 4751, 1997, 2009, 2024, 3305, 8231, 1998, 3322, 18001, 2000, 11262, 1012, 1523, 2008, 2001, 1999, 2066, 4927, 2043, 1045, 2106, 2008, 2792, 1010, 1524, 2002, 13198, 1012, 1523, 3524, 1037, 3371, 1025, 1045, 3342, 1996, 2878, 5436, 2085, 1012, 2023, 2792, 2018, 2000, 2079, 2007, 1996, 18414, 3489, 8758, 1998, 2009, 2001, 2856, 2011, 1031, 21142, 3597, 1011, 3237, 3135, 1033, 4717, 12296, 1012, 2057, 2018, 1037, 3608, 7467, 2008, 2028, 1012, 4717, 2003, 2467, 4569, 2000, 5607, 2007, 2138, 2002, 2573, 3435, 1010, 4282, 2054, 2002, 4122, 1998, 2009, 1521, 1055, 2035, 2200, 6851, 1012, 1523, 2009, 2001, 1037, 8479, 3116, 27579, 2154, 2005, 1996, 2034, 2051, 1010, 1998, 2016, 1521, 1055, 2468, 2112, 1997, 1996, 2155, 2012, 2023, 2391, 1012, 2057, 2293, 2014, 2000, 2331, 1012, 1045, 5632, 3666, 2014, 2552, 2007, 1998, 2079, 2014, 17727, 12298, 9355, 2007, 6606, 3897, 7106, 1012, 2009, 1521, 1055, 3154, 2008, 9079, 1998, 23054, 2024, 2183, 2000, 2022, 2814, 1998, 2009, 2582, 5771, 2229, 2041, 2119, 2216, 3494, 1012, 1524, 2242, 6433, 2000, 10786, 1999, 1523, 16851, 1524, 2008, 2097, 5213, 2025, 2069, 7193, 2021, 2036, 2776, 5708, 1998, 1996, 2717, 1997, 21142, 1012, 1996, 6458, 4152, 2019, 10710, 2989, 2008, 2016, 2453, 2022, 6318, 2242, 1010, 12167, 4895, 2243, 19779, 15787, 1010, 1999, 1996, 2279, 2792, 1010, 1523, 12185, 1012, 1524, 1999, 2054, 2126, 2515, 2008, 4254, 1996, 3276, 2090, 1996, 2048, 1029, 1523, 2035, 1045, 2064, 2360, 2003, 2008, 2009, 14670, 2009, 6551, 1010, 1524, 18381, 2015, 11262, 1012, 1523, 2009, 1521, 1055, 2242, 2008, 16473, 2007, 10786, 1998, 2008, 2026, 2839, 3138, 3602, 1997, 1998, 3525, 11596, 1012, 1524, 2348, 2990, 1521, 1055, 2684, 11199, 1006, 5207, 7632, 15551, 1007, 2003, 2185, 2012, 2267, 1010, 10786, 2018, 1996, 4495, 2000, 2468, 2488, 19056, 2007, 2014, 2096, 2016, 2973, 2007, 2014, 3611, 1999, 21142, 1012, 2076, 2008, 2051, 1010, 5708, 2036, 2288, 2000, 2113, 10786, 1521, 1055, 2402, 2365, 4901, 1012, 2008, 3276, 2038, 4961, 1999, 9223, 3971, 1999, 1996, 6585, 17060, 1012, 11262, 2038, 2498, 2021, 2204, 2477, 2000, 2360, 2055, 8672, 4027, 1010, 1996, 2402, 3364, 2040, 3248, 4901, 1012, 1523, 2054, 2019, 11757, 10904, 4845, 1010, 1524, 27128, 1996, 3364, 1012, 1523, 8672, 2003, 1037, 10392, 8033, 1998, 7255, 2007, 1031, 1996, 2754, 2537, 1997, 1033, 1996, 7006, 2332, 2005, 1045, 2123, 1521, 1056, 2113, 2129, 2116, 2086, 1012, 2002, 1521, 1055, 2288, 1037, 6919, 4823, 2376, 1010, 2205, 1012, 8672, 2038, 1996, 26849, 1010, 2087, 2330, 2227, 2004, 2092, 2004, 1996, 2190, 6180, 1998, 2002, 1521, 1055, 2061, 3733, 2000, 2147, 2007, 1012, 2006, 2327, 1997, 2035, 2008, 1010, 8672, 2003, 13366, 7869, 19909, 2135, 2785, 2004, 2092, 2004, 26438, 1998, 2002, 1521, 1055, 2428, 2046, 1996, 2147, 1012, 2065, 1045, 2018, 1037, 4845, 1010, 2002, 1521, 1055, 2673, 2008, 1045, 1521, 1040, 2215, 2026, 4845, 2000, 2022, 1012, 1524, 1996, 3364, 2036, 6661, 2070, 3898, 1011, 2051, 1999, 2161, 1018, 1012, 1019, 2007, 1996, 2210, 3336, 1006, 2030, 10834, 1007, 2008, 2377, 10786, 1521, 1055, 2210, 2611, 1012, 11262, 3849, 3243, 2012, 7496, 2076, 2216, 5019, 1012, 1523, 1045, 2001, 2320, 1999, 1037, 3276, 2007, 1037, 2450, 2040, 2018, 1037, 2775, 1998, 1045, 2018, 1037, 2843, 1997, 4268, 2105, 2033, 2043, 1045, 2001, 3920, 1010, 2061, 2009, 1031, 8304, 1037, 3336, 1033, 3310, 2200, 8100, 2000, 2033, 1998, 1045, 2113, 2054, 2000, 2079, 1010, 1524, 2002, 2758, 1012, 1523, 2009, 1521, 1055, 1037, 4119, 1010, 2295, 1010, 2551, 2007, 1037, 3336, 2138, 2027, 2123, 1521, 1056, 3305, 1998, 2017, 2064, 1521, 1056, 5987, 2068, 2000, 1012, 2017, 2064, 1521, 1056, 3198, 2068, 2000, 2079, 2505, 2008, 2027, 2123, 1521, 1056, 2215, 2000, 2079, 1010, 4496, 2323, 2017, 1010, 1998, 2043, 2027, 2215, 2000, 2681, 1010, 1996, 2915, 2003, 2589, 1012, 2057, 1521, 2128, 3243, 19590, 2138, 1996, 10834, 2040, 2272, 2000, 2147, 2006, 2256, 2265, 2024, 8403, 1998, 2035, 2008, 1010, 2021, 2027, 1521, 2128, 1996, 3748, 11522, 1999, 2115, 2154, 2138, 2017, 2074, 2123, 1521, 1056, 2113, 2129, 2477, 2024, 2183, 2000, 2735, 2041, 1012, 1524, 2074, 3188, 2000, 3225, 2147, 2006, 2161, 1018, 1012, 1019, 1010, 1996, 21142, 3459, 1998, 3626, 6361, 1996, 2265, 1521, 1055, 2230, 4234, 1011, 11773, 2792, 1523, 1051, 2210, 2237, 1010, 1524, 2029, 4836, 2006, 25353, 12031, 2197, 2285, 1012, 1999, 2009, 1010, 1996, 1523, 4203, 6779, 1524, 2974, 2764, 2011, 2852, 1012, 3958, 6415, 27378, 1006, 4717, 10424, 7974, 2121, 1007, 2003, 17214, 4842, 2098, 2007, 1010, 8701, 2000, 22802, 1996, 2972, 2237, 2041, 1997, 4598, 1012, 1523, 3071, 2428, 5632, 2725, 2008, 2028, 1010, 1524, 17722, 11262, 1012, 1523, 1045, 2228, 1996, 4898, 2106, 2673, 2008, 2017, 2071, 2031, 2356, 2068, 2000, 2079, 2007, 2019, 2792, 2066, 2008, 1012, 2027, 6573, 2009, 2041, 1997, 3608, 14432, 1012, 2009, 2001, 2514, 1011, 2204, 1010, 2009, 2018, 1037, 4569, 4234, 6508, 1011, 21209, 2000, 2009, 1010, 1998, 1045, 2001, 2061, 7622, 2007, 2009, 1012, 2009, 1521, 1055, 5791, 2028, 1997, 2026, 20672, 2008, 2057, 2915, 2197, 2095, 1012, 1523, 2004, 2005, 2161, 1018, 1012, 1019, 1010, 1045, 2525, 3855, 2057, 2106, 2019, 2792, 2007, 4913, 17106, 1031, 1996, 4268, 1999, 1996, 2534, 1033, 1010, 1998, 4717, 10424, 7974, 2121, 2234, 2067, 2005, 2008, 2028, 1010, 2205, 1012, 1045, 2018, 1037, 3608, 2551, 2007, 2068, 1010, 1998, 4913, 2038, 2941, 2468, 1037, 2204, 2767, 1012, 2008, 2466, 2003, 2178, 12944, 2005, 2033, 1012, 7825, 13218, 1031, 2882, 6583, 12349, 27838, 2243, 1999, 2732, 10313, 1024, 2784, 2686, 3157, 1033, 2036, 2106, 2048, 4178, 1999, 2161, 1018, 1012, 1019, 2008, 2017, 1521, 2128, 2183, 2000, 2156, 1012, 2002, 3248, 1037, 3276, 8930, 2040, 3310, 2000, 21142, 2000, 17908, 2054, 1521, 1055, 2183, 2006, 2105, 2237, 1999, 2344, 2000, 2156, 2065, 2673, 2003, 2006, 1996, 2039, 1011, 1998, 1011, 2039, 1010, 2029, 2003, 2428, 6057, 1012, 18202, 13218, 2003, 2074, 6429, 1010, 1998, 2057, 4669, 2032, 2061, 2172, 2008, 2002, 1521, 1055, 2746, 2067, 2005, 2161, 2274, 1012, 1524, 2537, 2006, 2161, 1018, 1012, 1019, 1997, 21142, 13088, 29098, 2098, 1999, 2255, 2230, 1998, 2130, 2077, 2009, 2211, 10499, 2023, 3204, 2006, 25353, 12031, 1010, 1996, 8629, 2211, 5291, 2153, 2023, 2627, 2258, 2006, 1996, 3587, 2161, 1012, 2043, 2009, 3310, 2000, 11262, 1521, 1055, 2839, 1010, 7193, 2064, 2298, 2830, 2000, 3773, 2990, 5708, 2468, 2062, 6625, 2007, 2010, 21142, 11301, 2004, 2092, 2004, 2007, 2216, 2105, 2032, 1010, 2926, 10786, 1012, 1523, 1045, 2228, 2009, 2003, 2112, 1997, 1996, 2936, 14967, 2005, 2026, 2839, 1010, 1524, 18437, 2015 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1015, 1012, 4087, 2492, 1997, 1996, 11028, 1996, 2556, 11028, 14623, 2000, 1037, 4118, 2005, 8073, 4252, 1037, 4431, 2597, 2029, 2003, 1996, 2597, 1997, 1037, 5860, 1011, 2066, 4874, 1999, 1037, 4431, 2522, 1011, 2030, 18979, 2618, 2291, 2164, 1996, 2597, 1997, 1996, 8304, 5080, 2029, 2003, 3223, 2000, 2022, 3344, 2041, 2012, 12318, 1996, 5860, 1011, 2066, 4874, 2107, 2004, 1037, 20681, 11333, 7512, 1998, 1037, 5080, 21739, 1025, 14623, 2000, 2019, 6882, 19120, 4118, 2478, 1996, 4118, 1997, 12515, 1037, 2415, 2597, 1999, 1996, 4252, 1998, 1037, 5080, 21739, 1025, 14623, 2000, 1037, 4755, 4118, 2005, 8073, 6149, 2075, 1037, 4755, 2799, 16911, 1996, 19120, 1998, 1037, 5080, 21739, 1010, 1998, 2582, 1010, 14623, 2000, 2036, 2019, 6882, 20681, 5814, 3941, 16911, 2216, 5733, 1012, 1016, 1012, 3141, 2396, 2004, 3491, 1999, 20965, 1012, 1015, 1998, 20965, 1012, 1016, 1010, 1999, 2236, 1010, 1037, 20681, 5814, 3941, 1015, 7883, 11333, 24396, 2011, 1037, 4755, 8957, 1018, 2013, 13903, 2015, 1020, 1999, 2029, 20681, 11333, 24396, 1998, 1996, 2066, 2024, 8250, 2006, 15475, 2000, 7170, 5843, 8477, 1022, 2029, 2024, 1996, 4755, 8831, 1997, 2536, 7957, 1997, 3949, 8477, 1021, 1010, 2030, 2013, 1996, 7170, 5843, 8477, 1022, 2000, 1996, 3949, 8477, 1021, 1010, 2030, 2038, 1037, 4755, 5080, 1016, 1012, 2004, 3491, 1999, 20965, 1012, 1017, 1010, 1996, 4755, 8957, 1018, 2003, 6055, 2007, 1037, 4755, 2849, 2260, 2029, 2038, 1037, 3173, 4664, 2403, 2029, 19363, 2030, 8081, 2229, 11333, 24396, 1998, 1996, 2066, 1998, 2064, 2693, 2011, 5331, 1998, 21963, 1010, 9963, 1998, 16354, 1998, 6934, 1010, 1998, 1996, 15323, 1997, 7972, 19589, 1997, 1996, 4755, 8957, 1018, 2024, 4758, 2011, 1037, 2491, 4664, 2340, 1012, 1996, 2491, 4664, 2340, 24443, 25709, 2015, 1996, 7709, 1998, 2799, 1997, 4755, 1998, 1996, 2522, 1011, 2030, 18979, 2618, 2592, 1997, 4755, 4460, 1999, 1996, 4431, 2522, 1011, 2030, 18979, 2618, 2291, 4820, 1996, 2597, 2389, 2522, 1011, 2030, 18979, 2618, 1997, 1996, 4755, 8957, 1018, 1998, 18365, 2229, 4367, 2389, 4449, 2000, 1996, 7972, 19589, 1997, 1996, 4755, 8957, 1018, 2241, 2006, 2009, 1012, 8558, 1010, 1996, 4755, 8957, 1018, 2064, 8073, 4287, 1037, 5860, 1011, 2066, 4874, 2107, 2004, 1037, 11333, 7512, 2410, 2000, 1037, 4964, 4755, 2597, 1998, 1996, 2491, 4664, 2340, 2003, 3223, 2000, 6807, 1996, 2597, 2389, 2522, 1011, 2030, 18979, 4570, 1997, 1996, 18921, 1011, 3855, 2482, 6313, 5693, 1998, 11333, 24396, 1999, 1996, 2682, 1011, 3855, 4431, 2522, 1011, 2030, 18979, 2618, 2291, 4414, 1010, 2000, 2079, 2061, 1012, 20965, 1012, 2656, 3065, 1037, 4664, 1997, 1996, 4834, 3673, 1997, 1996, 4252, 3357, 2005, 12515, 1996, 2434, 2522, 1011, 2030, 18979, 2618, 2012, 1996, 2707, 1011, 2039, 1997, 1996, 20681, 5814, 3941, 1015, 1999, 1037, 7511, 4755, 5080, 1016, 2029, 2003, 3491, 1999, 20965, 1012, 2423, 1012, 1996, 1523, 4252, 1524, 2182, 2378, 2003, 1037, 2147, 2005, 12515, 1996, 4431, 2597, 2005, 12771, 1037, 11333, 7512, 2410, 2030, 1996, 2066, 2090, 1996, 4755, 8957, 1018, 1998, 1996, 13903, 2015, 1020, 1998, 1996, 7170, 5843, 8477, 1022, 1010, 2090, 1037, 19120, 5080, 2184, 2030, 1996, 2066, 2029, 2003, 10329, 3024, 1010, 2065, 4072, 1012, 2005, 2742, 1010, 2043, 1996, 4252, 2003, 3344, 2041, 2007, 4847, 2000, 1037, 3357, 1997, 4755, 1996, 5860, 1011, 2066, 4874, 2107, 2004, 1037, 11333, 7512, 2410, 2029, 2003, 8250, 1999, 1996, 13903, 2015, 1020, 2000, 1996, 7170, 5843, 4574, 1022, 1010, 15847, 1010, 1996, 5741, 2597, 2389, 2592, 1006, 3988, 3643, 1007, 1997, 1996, 4755, 8957, 1018, 2006, 2640, 2003, 7953, 3064, 1999, 1996, 2491, 4664, 2340, 2012, 1996, 3357, 1055, 2487, 1010, 2059, 1996, 12823, 4664, 2403, 1997, 1996, 4755, 8957, 1018, 2003, 2333, 2210, 2011, 2210, 1999, 1037, 6410, 3169, 2000, 1996, 6959, 2597, 2007, 1996, 13903, 1020, 2241, 2006, 1996, 2640, 5059, 2011, 1996, 3357, 1055, 2475, 1012, 2174, 1010, 1996, 5860, 1011, 2066, 4874, 3464, 2000, 2022, 5614, 2012, 1996, 3671, 2597, 1997, 15475, 1999, 1996, 13903, 2015, 1020, 1998, 3464, 1999, 1037, 4650, 1999, 2029, 2009, 2003, 2025, 4964, 2006, 1996, 12823, 4664, 2403, 1012, 2059, 1010, 2004, 3491, 1999, 20965, 1012, 1017, 1010, 1037, 5009, 10147, 2290, 2322, 2003, 5361, 2006, 1996, 3173, 4664, 2403, 2012, 1996, 3357, 1055, 2509, 1998, 2009, 2003, 17453, 4484, 3251, 1996, 15986, 2597, 1997, 1996, 5860, 1011, 2066, 4874, 2003, 6669, 18616, 2007, 1996, 3173, 2597, 2006, 2640, 5059, 2030, 2025, 1012, 2043, 2009, 2003, 14386, 4383, 1010, 1996, 4755, 8957, 2003, 2333, 2011, 9963, 1010, 5331, 1998, 21963, 1010, 1998, 16354, 1998, 6934, 1999, 6410, 3169, 2012, 1996, 3357, 1055, 2549, 1010, 1996, 2597, 1997, 1996, 3173, 4664, 2403, 2003, 13371, 2000, 1037, 5372, 2597, 1010, 1998, 24288, 1010, 1996, 2597, 2389, 2592, 4663, 1999, 1996, 3357, 1055, 2549, 2003, 11860, 2000, 1996, 2491, 4664, 2340, 2012, 1996, 3357, 1055, 2629, 2000, 20687, 1996, 3988, 2597, 2389, 2592, 1012, 2043, 2045, 2003, 2053, 24353, 1999, 1996, 13964, 2012, 1996, 3357, 1055, 2509, 1010, 1996, 5860, 1011, 2066, 4874, 6025, 2003, 3344, 2000, 1996, 6959, 2597, 2007, 1996, 7170, 5843, 8477, 1022, 2012, 1996, 3357, 1055, 2575, 1010, 1998, 2059, 2009, 2003, 17453, 4484, 2012, 1996, 3357, 1055, 2581, 3251, 1996, 4755, 2597, 1997, 1996, 5860, 1011, 2066, 4874, 2003, 2074, 2004, 1996, 2640, 5059, 2030, 2025, 1012, 2043, 2045, 2003, 24353, 1999, 2019, 5025, 4755, 2597, 1010, 1996, 2147, 5651, 2000, 1996, 3357, 1055, 2549, 1998, 10951, 2000, 1996, 3357, 1055, 2629, 1012, 2043, 2045, 2003, 2053, 24353, 1010, 1037, 2186, 1997, 1996, 4252, 2024, 12527, 1012, 6920, 1010, 1996, 4252, 2147, 1997, 1996, 4431, 2597, 2003, 3344, 2041, 2028, 2011, 2028, 1999, 10388, 2007, 1996, 8853, 2013, 1996, 3357, 1055, 2487, 2000, 1996, 3357, 1055, 2581, 2090, 1996, 19120, 5080, 2184, 1998, 1996, 7972, 7170, 5843, 8477, 1022, 2007, 4847, 2000, 1996, 4755, 8957, 1018, 1998, 2090, 1996, 7972, 7170, 5843, 8477, 1022, 1998, 2060, 8831, 2107, 2004, 3949, 8477, 1021, 2007, 4847, 2000, 1996, 11641, 8957, 2861, 1012, 2582, 1010, 1996, 19120, 1997, 1996, 5860, 1011, 2066, 4874, 1999, 7511, 5814, 4084, 2003, 3344, 2041, 2012, 2169, 2051, 2478, 1996, 19120, 5080, 1006, 16350, 3698, 1007, 2184, 2004, 3491, 1999, 20965, 1012, 2423, 1012, 1999, 1996, 4755, 5080, 1016, 2004, 3491, 1999, 20965, 1012, 2423, 1010, 2044, 1996, 11333, 7512, 2410, 2003, 5359, 2320, 2000, 1996, 5860, 25254, 19120, 5080, 2184, 2029, 2003, 3584, 2013, 1996, 4755, 8957, 1018, 1999, 2344, 2000, 4652, 2008, 1996, 25206, 1997, 1996, 11333, 7512, 2410, 2076, 4755, 2003, 28976, 2007, 1996, 13903, 2015, 1020, 1998, 1996, 11418, 2015, 1997, 7972, 15824, 2015, 1998, 11730, 1010, 1996, 4755, 8957, 1018, 8267, 1996, 11333, 7512, 2410, 2153, 1998, 2788, 7883, 2009, 2000, 2019, 4874, 2597, 1012, 2045, 2003, 3818, 1999, 16545, 1011, 1038, 1011, 1021, 1011, 25745, 22275, 1037, 4118, 2011, 2029, 1999, 2344, 2000, 5335, 15836, 2011, 1996, 2682, 1011, 3855, 6959, 3357, 1010, 1996, 4755, 2849, 1997, 1996, 4755, 8957, 2003, 2333, 2096, 3173, 1037, 11333, 7512, 1998, 5235, 1037, 4796, 2828, 19120, 5080, 2029, 2038, 11320, 11233, 11020, 10127, 8810, 1023, 2050, 1998, 2422, 4909, 8810, 1023, 2497, 4414, 1998, 1999, 2029, 2093, 13907, 1023, 2029, 11487, 1037, 11333, 7512, 2410, 2007, 2422, 19251, 2229, 1023, 2278, 2020, 3024, 2000, 18422, 1996, 2415, 2597, 1997, 1996, 11333, 7512, 1012, 1999, 1996, 4118, 1010, 1996, 4431, 3173, 2597, 1997, 1037, 11333, 7512, 2003, 3653, 17960, 3981, 11272, 4036, 1010, 1996, 2799, 1997, 1996, 3173, 4664, 2403, 2003, 13371, 2013, 1996, 6653, 11712, 2090, 1996, 4252, 2597, 1998, 1996, 2415, 2597, 1997, 1037, 11333, 7512, 2029, 2001, 11156, 2011, 1996, 18921, 1011, 3855, 4796, 2828, 19120, 5080, 1010, 1998, 1996, 11333, 7512, 2003, 3344, 2000, 2019, 7863, 2173, 2302, 24324, 2007, 2060, 6602, 1012, 8558, 1010, 1037, 2051, 3223, 2005, 1996, 6959, 1998, 7684, 2005, 1996, 19120, 5080, 2184, 2003, 12641, 1998, 1996, 2682, 1011, 3855, 4118, 5201, 2000, 1996, 7620, 1997, 15836, 1012, 3471, 2000, 2022, 13332, 2011, 1996, 11028, 2174, 1010, 2004, 3491, 1999, 1996, 4834, 3673, 1997, 20965, 1012, 2656, 1010, 1037, 7511, 4252, 2147, 2029, 2001, 3130, 2649, 2003, 2019, 2035, 6410, 2291, 2011, 2029, 3979, 1998, 7561, 2024, 5567, 2478, 1996, 5009, 10147, 2290, 2322, 2090, 2035, 5693, 2007, 2029, 1996, 4755, 8957, 1018, 17654, 2015, 1010, 2096, 10843, 17453, 19195, 1996, 2597, 1012, 2947, 1010, 2023, 3025, 4118, 3223, 3278, 6410, 8290, 1012, 2144, 2023, 5942, 27222, 6410, 2147, 2011, 1037, 10571, 16661, 1010, 1037, 2051, 1997, 2028, 2440, 2154, 2030, 2062, 2001, 4072, 2005, 2069, 1996, 4755, 5080, 3491, 1999, 20965, 1012, 2423, 1012, 2582, 1010, 2004, 3855, 2682, 1010, 1037, 4796, 2828, 19120, 5080, 2029, 2003, 2649, 1999, 16545, 1011, 1038, 1011, 1021, 1011, 17528, 2683, 22275, 1998, 3491, 1999, 20965, 1012, 2676, 2003, 3818, 2004, 1996, 19120, 1997, 1996, 5860, 1011, 2066, 4874, 1999, 2537, 1010, 2021, 2144, 2019, 3988, 4252, 3594, 2036, 1996, 18921, 1011, 3855, 7511, 4118, 2182, 4017, 1010, 4390, 3223, 2005, 1996, 2707, 1011, 2039, 1997, 3941, 2003, 2025, 2904, 2012, 2035, 1012, 7297, 1010, 2144, 2009, 2003, 1037, 5080, 4458, 1037, 4796, 1010, 2045, 2003, 1037, 3291, 2008, 2028, 5080, 2442, 2022, 2275, 2011, 2296, 15824, 1997, 7972, 7170, 5843, 8477, 1998, 7972, 3949, 8477, 1010, 1998, 2045, 2038, 2042, 1037, 3291, 2008, 2144, 1996, 5080, 2003, 1037, 3469, 5080, 2084, 1996, 6705, 1997, 1037, 5860, 1011, 2066, 11156, 4874, 2107, 2004, 1037, 11333, 7512, 1010, 5211, 3465, 2003, 11792, 1012, 2582, 1010, 2144, 2045, 2003, 2053, 19120, 3357, 2077, 19274, 2075, 1037, 5860, 1011, 2066, 4874, 2046, 1996, 18921, 1011, 3855, 4796, 2828, 19120, 5080, 1010, 2009, 2038, 2042, 3223, 2008, 1996, 6410, 19120, 2029, 2003, 13460, 8462, 2004, 2649, 2682, 2003, 3653, 17960, 3981, 11272, 3344, 2041, 2061, 2008, 1996, 5860, 1011, 2066, 4874, 2003, 2025, 17745, 2007, 1996, 5080, 1012, 2043, 2009, 2003, 17745, 2007, 1996, 5080, 2011, 2151, 3382, 1010, 2045, 2020, 3471, 2008, 6497, 2015, 2024, 7013, 2302, 8246, 1998, 2009, 6433, 2000, 4053, 1996, 5860, 1011, 2066, 11156, 4874, 1012, 2582, 1010, 1999, 1996, 2682, 1011, 3855, 19120, 5080, 2029, 2003, 2649, 1999, 16545, 1011, 1038, 1011, 1021, 1011, 17528, 2683, 22275, 1010, 1996, 13325, 4118, 1997, 1037, 18624, 2075, 4664, 2003, 14965, 3973, 7203, 1010, 2021, 1037, 4118, 1997, 8045, 2135, 13325, 2003, 2025, 2179, 2664, 1012, 11914, 1010, 2144, 1037, 4118, 1997, 20177, 1037, 5860, 2415, 2011, 1996, 6263, 1999, 6767, 7630, 3508, 2029, 2003, 2019, 20167, 4118, 2003, 4233, 1010, 2012, 2560, 1017, 1997, 13907, 1023, 2029, 2024, 10788, 2965, 2024, 3223, 1998, 2012, 2560, 1021, 2685, 1999, 2561, 1997, 2012, 2560, 1020, 2685, 2006, 1996, 15965, 11418, 1997, 1037, 5860, 1998, 2028, 2391, 1997, 1996, 2415, 1997, 1996, 5860, 3173, 4664, 2442, 2022, 7594, 1012, 2582, 1010, 2144, 1037, 2391, 2029, 6526, 2006, 1996, 15965, 11418, 1997, 1037, 18624, 2098, 4664, 1998, 2515, 2025, 4839, 2006, 1037, 25022, 11890, 2819, 25523, 2003, 4838, 1999, 1996, 1020, 2685, 2006, 1996, 15965, 11418, 2302, 8246, 1010, 2019, 8321, 2597, 2003, 2025, 9975, 10174, 1998, 11718, 2001, 2919, 1012, 2582, 1010, 2045, 2003, 3818, 1037, 17208, 8522, 1997, 12515, 1996, 12177, 1997, 1037, 5860, 2013, 1018, 2685, 2006, 1996, 15965, 11418, 2029, 2515, 2025, 2421, 1996, 18624, 2098, 4664, 2241, 2006, 2124, 1052, 22123, 3270, 20255, 11219, 9872, 1010, 2021, 2144, 1996, 2391, 2006, 1996, 18624, 2098, 4664, 3685, 2022, 12421, 1010, 1996, 8321, 12177, 1997, 1037, 5860, 2071, 2025, 2022, 2428, 4340, 1012, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 2011, 6384, 2509, 1012, 1017, 2934, 5271, 2050, 1010, 5262, 1010, 2003, 2000, 1037, 2440, 1011, 2051, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 1012, 2002, 2515, 2137, 18853, 2000, 1996, 25665, 4598, 1025, 2000, 2049, 2797, 3324, 1997, 9542, 1025, 1998, 2000, 1996, 2619, 1997, 2893, 2000, 1996, 4769, 1010, 16979, 2129, 10906, 1005, 2310, 2179, 2013, 1039, 9057, 2923, 2573, 2000, 1996, 3255, 1012, 2002, 2003, 2008, 1996, 15269, 2572, 2625, 2116, 2000, 5981, 5024, 4520, 2084, 9099, 23865, 2015, 12287, 3344, 1025, 2021, 2008, 2023, 19184, 2003, 2182, 2926, 2013, 2137, 2505, 2004, 2013, 3259, 1012, 2334, 2433, 2064, 3965, 2013, 1996, 2060, 1012, 2642, 3534, 2737, 9587, 20464, 11514, 2015, 8470, 14584, 2622, 3193, 21009, 2584, 1037, 4799, 8782, 1999, 2559, 5869, 5278, 3400, 10334, 1010, 1996, 16635, 3193, 1010, 10449, 16648, 1010, 3983, 20631, 1010, 2047, 11424, 6593, 11796, 3508, 5919, 1010, 2512, 1011, 5377, 26381, 1010, 1998, 2062, 1012, 2045, 2024, 3823, 1997, 3479, 8128, 1997, 1004, 23713, 2108, 1996, 19294, 19229, 1997, 9752, 2004, 3391, 1012, 2502, 6887, 27292, 2050, 6433, 2178, 10161, 2007, 2210, 4301, 2000, 1996, 16547, 1012, 1014, 1025, 2074, 10262, 1996, 19399, 2030, 4857, 4471, 27675, 1006, 2030, 2061, 11920, 2068, 1999, 11519, 1010, 2489, 16324, 1007, 1012, 1996, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5325, 2175, 11263, 2078, 4168, 2017, 1005, 2222, 5587, 2566, 3291, 2005, 2115, 7072, 2592, 1012, 1996, 7186, 1997, 12468, 2115, 2396, 2354, 2005, 2012, 2560, 1017, 2335, 1010, 2030, 2005, 2059, 2049, 2152, 4730, 2065, 2009, 7208, 7820, 2084, 1017, 6281, 1012, 1996, 16733, 1997, 3314, 2115, 3931, 15807, 2005, 2012, 2560, 2184, 3067, 15155, 1010, 2030, 2005, 3811, 2049, 2524, 2490, 2065, 2009, 2222, 7820, 2084, 2184, 8141, 1012, 1996, 3112, 1997, 2111, 2115, 2558, 2018, 2005, 2012, 2560, 2321, 6078, 1010, 2030, 2005, 5147, 2049, 4895, 1011, 2137, 3559, 2065, 2009, 2417, 7442, 16649, 7820, 2084, 2321, 5784, 1012, 3175, 5709, 17465, 23833, 2683, 16068, 2575, 1006, 3193, 2033, 7507, 15312, 2594, 11643, 1007, 1012, 1996, 3747, 1997, 29429, 1998, 5955, 22327, 2102, 1024, 2111, 1999, 6991, 1998, 5461, 1012, 3175, 5709, 17465, 22025, 28756, 2620, 2509, 1006, 22488, 1007, 1012, 1996, 12930, 1997, 2198, 7980, 1006, 2189, 1999, 1996, 9086, 2301, 1007, 1012, 2023, 10964, 9578, 2172, 3025, 2138, 1996, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 1999, 2157, 3473, 1996, 2783, 2004, 3354, 5606, 1012, 2045, 16844, 3550, 13485, 5167, 2008, 2363, 1999, 2023, 5746, 2008, 2001, 2446, 1012, 2339, 2003, 3477, 1999, 19960, 16518, 1998, 15827, 3374, 1029, 2129, 2064, 2027, 2709, 1996, 6105, 2894, 2302, 2338, 1999, 2139, 21572, 13113, 1029, 3175, 5709, 17465, 12740, 26224, 2683, 2487, 1006, 3193, 2033, 7507, 15312, 2594, 1007, 1012, 20022, 6392, 2072, 1996, 2176, 3692, 1998, 2060, 10405, 2015, 6728, 1012, 1022, 1006, 4729, 2189, 14812, 2015, 2186, 1007, 1010, 2703, 15160, 1012, 3175, 5709, 17465, 12740, 2575, 2683, 22907, 1006, 9867, 1007, 1012, 13177, 1024, 2514, 23564, 21436, 10258, 12184, 1006, 4729, 3850, 14812, 2015, 1007, 1010, 2848, 24905, 9363, 18552, 1012, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 1998, 21321, 1999, 14683, 2301, 2158, 26302, 2462, 1012, 3175, 5709, 17465, 22407, 16086, 22022, 1006, 2817, 1007, 1012, 12654, 1998, 2051, 1999, 14683, 1011, 2301, 2158, 26302, 5285, 1016, 1012, 3175, 5709, 17465, 21926, 27814, 2581, 2487, 1006, 4274, 1007, 1012, 3175, 5709, 17465, 21926, 2692, 26224, 2581, 1006, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 1007, 1012, 1056, 1024, 10861, 5134, 5868, 2006, 26561, 2015, 1006, 4729, 2913, 1999, 2189, 1007, 5285, 1016, 1012, 3175, 5709, 17465, 21486, 19841, 2692, 2475, 1006, 5450, 1007, 1012, 2111, 1998, 2808, 1997, 1996, 2394, 8028, 1012, 3175, 5709, 17465, 19317, 17914, 2575, 2683, 1006, 20990, 1007, 1012, 2703, 10380, 2854, 1998, 2189, 1024, 2568, 1997, 5461, 1997, 5512, 1999, 10380, 2854, 1005, 1055, 8278, 1012, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2000, 3696, 1996, 11626, 1012, 1996, 4923, 11138, 21268, 2042, 1012, 2023, 1005, 1055, 1037, 2715, 2082, 2005, 2035, 3653, 1011, 25882, 3171, 2493, 1012, 2065, 1996, 15269, 2424, 2295, 2060, 2000, 3443, 17855, 5024, 22889, 5243, 4371, 1999, 11972, 2023, 5525, 2003, 2068, 2012, 1037, 2446, 2373, 1012, 2016, 2020, 2047, 2259, 2103, 9897, 25249, 2015, 11265, 2000, 4553, 2007, 1996, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 2012, 3061, 2600, 1012, 2016, 5754, 17287, 3064, 2019, 3439, 10651, 1998, 18047, 2000, 1996, 3180, 2053, 25666, 2015, 16392, 3844, 2009, 2091, 1998, 7415, 2015, 2549, 29427, 6610, 1012, 13326, 29182, 3051, 1010, 1037, 3229, 1997, 2643, 1998, 2026, 1055, 5230, 2741, 5105, 2013, 2023, 2600, 6256, 1999, 1037, 2069, 6412, 20990, 1012, 1037, 23943, 1010, 2157, 2007, 2010, 2808, 1010, 2338, 1010, 2619, 1010, 2256, 2564, 1010, 1998, 8900, 1010, 10326, 2111, 1012, 2381, 12941, 1998, 2197, 2326, 1012, 1996, 21980, 1997, 2026, 10898, 1010, 3889, 6473, 1010, 5319, 2917, 2007, 2010, 4471, 9533, 1998, 2037, 1016, 11143, 1010, 2038, 2124, 4914, 2007, 2381, 2029, 2003, 2926, 11566, 2000, 26425, 1012, 4693, 2064, 2695, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 2005, 2009, 1012, 3931, 8704, 1996, 10476, 2102, 2974, 2008, 14730, 1010, 1998, 2009, 5320, 16487, 1012, 2027, 2815, 2000, 2326, 2009, 2157, 2104, 1996, 5448, 1012, 1996, 18168, 2040, 2020, 2033, 2055, 1996, 2381, 2056, 2025, 3107, 2055, 2009, 1010, 1998, 2211, 2125, 2007, 1996, 2530, 2466, 2058, 2009, 1010, 2000, 2010, 3044, 1011, 23201, 1011, 11867, 6826, 2290, 19422, 1011, 1054, 16523, 2015, 1010, 2021, 2025, 7679, 19817, 5575, 4502, 15841, 2070, 12163, 1997, 2693, 1998, 2003, 2036, 2284, 2011, 25850, 25060, 1012, 2000, 12200, 2049, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 2426, 2068, 3632, 2039, 2035, 2042, 1012, 1014, 1025, 1998, 1037, 2411, 2062, 2466, 2084, 2037, 3080, 2556, 1011, 2154, 17178, 2015, 1998, 4395, 1012, 2023, 4627, 2339, 1045, 2572, 1996, 2824, 2360, 4129, 2006, 1996, 3151, 3325, 1025, 1996, 13818, 2001, 1996, 4699, 2930, 2043, 2027, 2001, 4781, 2012, 2049, 15398, 4297, 25377, 12870, 5897, 1998, 3062, 21346, 2951, 1997, 5470, 9527, 1010, 3091, 1998, 11480, 3244, 1011, 2000, 1011, 3244, 1012, 2044, 1996, 3255, 1998, 3668, 7786, 1997, 4827, 4325, 2228, 2121, 1010, 2027, 2172, 2031, 2741, 1998, 2794, 2588, 1012, 2182, 1997, 2256, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 20062, 2006, 2129, 1010, 2065, 2012, 2035, 1010, 5682, 1998, 2781, 1997, 20868, 2024, 3209, 2000, 4503, 6040, 8927, 2004, 2027, 2024, 2023, 3531, 19960, 16518, 2189, 1012, 2017, 2064, 2969, 1011, 6709, 2256, 10341, 3038, 2256, 4440, 2951, 24923, 1012, 1996, 7303, 2373, 6140, 2003, 29245, 3993, 5491, 1024, 1005, 4353, 1025, 1005, 1012, 2115, 2155, 2003, 2920, 1037, 2060, 2030, 6259, 9698, 1012, 2065, 2017, 2024, 3193, 2033, 7507, 15312, 2594, 2051, 14492, 1010, 2023, 6256, 2003, 1037, 2449, 1012, 1018, 2578, 2734, 2023, 2919, 1012, 3378, 5309, 15222, 2015, 2301, 2003, 1037, 2442, 2424, 1010, 2065, 2017, 5382, 2000, 5630, 2019, 3919, 11562, 2012, 9808, 1060, 1012, 1045, 2031, 16883, 2098, 22042, 2009, 2024, 2682, 2005, 2702, 4262, 1010, 1998, 1045, 2904, 1037, 4722, 2592, 2013, 5378, 2023, 4730, 1012, 2409, 10968, 8749, 1998, 6097, 9808, 2595, 4638, 4125, 14600, 2092, 6931, 2007, 1996, 13445, 1997, 2293, 1998, 2088, 1997, 3967, 1998, 2186, 1012, 3193, 16602, 3554, 1998, 3331, 4436, 2800, 2004, 2372, 1010, 8438, 1998, 13361, 4784, 1010, 2047, 15523, 1998, 3226, 8840, 15472, 11149, 1010, 23560, 1998, 6043, 2005, 2174, 2055, 2151, 2168, 12653, 2017, 2024, 2000, 19242, 1012, 19294, 1997, 1996, 2493, 4225, 2145, 2490, 4968, 4383, 2006, 2023, 11897, 1012, 1996, 2053, 6559, 2015, 2491, 2005, 24471, 2140, 2029, 9120, 3160, 8041, 2006, 1996, 2773, 2005, 3188, 1010, 2065, 2017, 2031, 2151, 3232, 2029, 2017, 2031, 8849, 2115, 2838, 1010, 10086, 2149, 19242, 1012, 2065, 2017, 2031, 2328, 1996, 7233, 6649, 1010, 3443, 2175, 2009, 2005, 2111, 1012, 4684, 1997, 2029, 2003, 2529, 2000, 1042, 10054, 2102, 3876, 2011, 1037, 3201, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 1998, 3418, 2128, 2076, 1996, 3554, 5627, 25198, 3618, 8241, 2029, 2097, 4839, 2127, 16798, 2475, 2247, 2007, 2088, 2162, 2093, 2007, 3607, 1998, 17727, 15094, 17296, 2859, 1012, 2160, 1997, 4505, 2145, 2001, 1037, 2061, 5627, 4224, 2058, 7795, 1998, 1996, 4001, 2097, 2157, 3437, 2009, 1998, 2343, 13857, 16543, 8112, 2156, 2009, 1012, 2023, 5499, 7829, 2011, 3519, 2097, 4487, 25572, 2618, 2088, 2162, 2093, 2011, 2061, 1997, 2048, 5167, 1024, 1006, 1015, 1007, 17609, 1037, 7500, 2007, 3607, 1998, 2637, 1999, 1037, 2034, 3690, 2344, 2073, 3607, 2003, 3972, 13936, 2005, 1037, 2978, 20077, 3229, 8771, 2007, 19452, 2530, 3616, 2056, 2007, 2068, 2030, 1006, 1016, 1007, 5587, 1999, 2301, 2090, 3607, 1998, 4977, 1012, 2144, 4977, 2003, 1037, 6189, 1997, 10079, 1010, 1996, 2142, 2163, 2247, 2007, 1996, 2177, 1998, 2755, 1997, 10079, 2097, 2963, 2000, 2191, 2000, 1996, 12896, 3430, 1012, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 1997, 13611, 2082, 1012, 2648, 2163, 2558, 1007, 1005, 1012, 1996, 2523, 1997, 7879, 16570, 4383, 2554, 5089, 1006, 2384, 1007, 1012, 4420, 2083, 1996, 6097, 2015, 1025, 7570, 28228, 14561, 2028, 1024, 3537, 1012, 2426, 2530, 2808, 1045, 2215, 2026, 3193, 2007, 2014, 2001, 2770, 2000, 12764, 2014, 1006, 2004, 4321, 2097, 3046, 2007, 4491, 2043, 2027, 10580, 1999, 2529, 25206, 2007, 8775, 2648, 2037, 7859, 1007, 1998, 2016, 2001, 2000, 19242, 1012, 1045, 2056, 4520, 4013, 4305, 11411, 27191, 2004, 2009, 14021, 26763, 2070, 1997, 2026, 2556, 1011, 2154, 17522, 1011, 3451, 2171, 1012, 4410, 3238, 2804, 1999, 2035, 2493, 2003, 1050, 1005, 1056, 2747, 2013, 1996, 8244, 1997, 1996, 2510, 1011, 2966, 11903, 1012, 2166, 1999, 4526, 2046, 1996, 3160, 1997, 8680, 20089, 1006, 8680, 5397, 7088, 6491, 1007, 1012, 2009, 6563, 1996, 3816, 5227, 1999, 1996, 3418, 2088, 2077, 2381, 1006, 2029, 3653, 6895, 23270, 4383, 1999, 10660, 20990, 1010, 2444, 2000, 2022, 2008, 1007, 1012, 2934, 5271, 2050, 1010, 2842, 1010, 5218, 2000, 1037, 13420, 1011, 2241, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 1012, 2002, 2003, 3060, 4790, 2000, 1996, 9686, 29112, 2592, 1025, 2000, 2049, 2887, 2951, 1997, 2607, 1025, 1998, 2000, 1996, 2505, 1997, 2128, 12614, 2000, 1996, 2547, 1010, 2893, 2129, 9849, 2514, 2405, 2013, 1039, 9057, 2923, 4283, 2000, 1996, 6014, 1012, 2002, 3464, 2008, 1996, 15269, 2024, 2625, 20248, 18155, 26116, 2000, 2468, 3171, 2086, 2084, 1005, 1055, 7216, 2098, 2241, 1025, 2021, 2008, 2023, 2155, 3640, 2004, 5262, 2013, 27427, 2483, 11837, 19150, 20151, 2791, 2004, 2013, 3168, 1012, 1996, 12009, 2038, 3728, 23575, 1012, 2115, 5792, 2020, 1037, 3325, 2008, 2023, 26419, 2071, 2085, 19242, 1012, 3531, 7461, 2115, 2785, 2571, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 2478, 5416, 19287, 2268, 1012, 3531, 2156, 2008, 2017, 1005, 2310, 1996, 9293, 1997, 7064, 1012, 2017, 2064, 2061, 4817, 2115, 13864, 2196, 1998, 2101, 3930, 1998, 8980, 2068, 2196, 1999, 1005, 2026, 4011, 7705, 2015, 1005, 1012, 3531, 3828, 1037, 2597, 1010, 2434, 1997, 2871, 9736, 1012, 2065, 1996, 15269, 2024, 5362, 2779, 2000, 3193, 2310, 6827, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 1999, 4646, 2023, 2320, 3138, 2068, 2012, 1037, 3834, 3836, 1012, 1996, 3191, 18245, 1010, 2074, 1010, 2003, 2008, 1996, 15269, 2572, 16021, 29150, 2135, 2034, 2000, 4604, 4722, 24209, 11475, 23096, 2015, 1999, 2338, 1011, 2023, 1010, 2680, 1010, 4766, 2038, 7172, 2011, 11946, 2055, 13125, 14944, 4480, 2011, 9990, 2157, 4871, 2408, 2068, 1012, 2934, 5271, 2050, 1010, 2200, 1010, 2003, 2000, 1037, 2166, 1011, 2946, 3204, 1012, 2002, 14730, 2402, 3596, 2000, 1996, 2168, 3400, 1025, 2000, 2049, 5024, 16324, 1997, 2671, 1025, 1998, 2000, 1996, 4676, 1997, 14622, 2000, 1996, 4824, 1010, 2375, 1011, 27818, 2129, 16324, 9015, 4968, 4383, 2013, 1039, 9057, 2923, 15295, 2000, 1996, 20394, 1012, 2115, 3193, 2033, 7507, 15312, 2594, 11643, 1998, 12504, 4730, 2097, 2369, 4839, 11013, 1012, 5266, 2358, 11657, 24063, 2015, 1010, 5784, 1010, 15183, 1998, 2062, 1010, 2330, 1011, 3092, 8875, 1998, 15768, 2903, 24114, 3697, 1012, 2043, 2009, 2003, 2000, 3945, 1010, 2055, 1010, 2200, 1997, 2068, 3713, 5625, 1999, 3484, 1012, 22940, 1998, 6351, 1010, 1996, 3430, 6002, 1010, 2031, 16058, 27129, 1010 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 20704, 2099, 4730, 2007, 12098, 8566, 5740, 2517, 2011, 5125, 3158, 3769, 11880, 2368, 1996, 12098, 8566, 5740, 28991, 1996, 28991, 2003, 1037, 2200, 3722, 2604, 1010, 7687, 2074, 2019, 20704, 2099, 11338, 2226, 2007, 2019, 3027, 4305, 9090, 2005, 20888, 2058, 18833, 1012, 2006, 1996, 2327, 2187, 1997, 1996, 8040, 28433, 4588, 2003, 1996, 9231, 5833, 1997, 1996, 2604, 1010, 1998, 1999, 1996, 2803, 2003, 1996, 9231, 5833, 1997, 1996, 20704, 2099, 9090, 1006, 2019, 27218, 29107, 16703, 2620, 2030, 27218, 29107, 16703, 2620, 2361, 1007, 1012, 2017, 2064, 3582, 1996, 16300, 2000, 2536, 6177, 1010, 1998, 1013, 2030, 3495, 2000, 1996, 16300, 1997, 1996, 2604, 2993, 1012, 2005, 2742, 1010, 1996, 1040, 2692, 1013, 19067, 1998, 1040, 2487, 1013, 1054, 2595, 16300, 2006, 1996, 2604, 2024, 4198, 2000, 1996, 22851, 2692, 1998, 22851, 2487, 16300, 1997, 1996, 20704, 2099, 1010, 2029, 2024, 1996, 25423, 5339, 19067, 1998, 1054, 2595, 16300, 1012, 1996, 8040, 28433, 4588, 2003, 16801, 2012, 2034, 2021, 4152, 16325, 2320, 2017, 2156, 2008, 2296, 3830, 2003, 4310, 1010, 1998, 5973, 1037, 3830, 3544, 3674, 2335, 2965, 2027, 2024, 4198, 2012, 2216, 2685, 2306, 1996, 2604, 1012, 2061, 1010, 1999, 1996, 2553, 1997, 1996, 1040, 2692, 1998, 1040, 2487, 16300, 1010, 2027, 2024, 4198, 2000, 1996, 20704, 2099, 3495, 2077, 1996, 1015, 2243, 9507, 5668, 1054, 2361, 2487, 2497, 1998, 1054, 2361, 2487, 2278, 1010, 2029, 2024, 1999, 2735, 4198, 2000, 1996, 19067, 2094, 1998, 1054, 2595, 2094, 16300, 1997, 1996, 3027, 21926, 2475, 12190, 1006, 3081, 1996, 1054, 2595, 1998, 19067, 10873, 1010, 4414, 1007, 1012, 1996, 3027, 21926, 2475, 12190, 9090, 2003, 1037, 18833, 6658, 2000, 25423, 5339, 10463, 2121, 2008, 8539, 2000, 1996, 7163, 1011, 18833, 19400, 1006, 18251, 18833, 1011, 7163, 1011, 1038, 1003, 1039, 1007, 1012, 1996, 2006, 1011, 2604, 10004, 21618, 25423, 2581, 2620, 2213, 2692, 2629, 13385, 1021, 1516, 2423, 1058, 2004, 7953, 3081, 19354, 1010, 1998, 27852, 1037, 12222, 1019, 1058, 2039, 2000, 3156, 5003, 1012, 14084, 1010, 18833, 2064, 2373, 1996, 2604, 3495, 1012, 1996, 6177, 2947, 2224, 1037, 1019, 1058, 7961, 2504, 2000, 10639, 12441, 7755, 1012, 1037, 12441, 4742, 2003, 1037, 2433, 1997, 25502, 1006, 1996, 4145, 1997, 17181, 2951, 2306, 1037, 4742, 1010, 1999, 2023, 2553, 5992, 1007, 2478, 10004, 2504, 2000, 5646, 1037, 2152, 3643, 2030, 1037, 2659, 3643, 1012, 1996, 1520, 1520, 7961, 2504, 1521, 1521, 16463, 1996, 5025, 10004, 2015, 2109, 1010, 1999, 2256, 2553, 1019, 1058, 2005, 2152, 1998, 1014, 1058, 2005, 2659, 1012, 3251, 2152, 2003, 2641, 1037, 11177, 1015, 1006, 3161, 1011, 2152, 1007, 2030, 1037, 11177, 1014, 1006, 3161, 1011, 2659, 1007, 2003, 7790, 2006, 1996, 9231, 9563, 1012, 2043, 1037, 9231, 2003, 26928, 2000, 2022, 3161, 1011, 2659, 1010, 2009, 2003, 2788, 18251, 2007, 1037, 3347, 2058, 2009, 1006, 2004, 1999, 25141, 1007, 2030, 10439, 21945, 2007, 1037, 1001, 1010, 2021, 2060, 12472, 2024, 2036, 2109, 1012, 2054, 2017, 2064, 2425, 2013, 1996, 8040, 28433, 4588, 2003, 2008, 1996, 25423, 5339, 16300, 1997, 1996, 20704, 2099, 2024, 3495, 4198, 2000, 1996, 16300, 1997, 1996, 2604, 1010, 2021, 2036, 4198, 2000, 1996, 3027, 21926, 2475, 2099, 1012, 2017, 2064, 2036, 2425, 2008, 1996, 3027, 21926, 2475, 2099, 2003, 2069, 4198, 2000, 1996, 20704, 2099, 2478, 2122, 1016, 16300, 1010, 3458, 1037, 2261, 2373, 1998, 25141, 16300, 1012, 2061, 2065, 1996, 3274, 1006, 3081, 18833, 1007, 2003, 2069, 2583, 2000, 10639, 2007, 1996, 3027, 21926, 2475, 2099, 1010, 2059, 4415, 2115, 2069, 4118, 1997, 20888, 2007, 1996, 20704, 2099, 2003, 3081, 1996, 25423, 5339, 1012, 2057, 2097, 2298, 2012, 2129, 2000, 2224, 1996, 25423, 5339, 1999, 1037, 2101, 2930, 1012, 2478, 1996, 27004, 6994, 24925, 2078, 2057, 2064, 2224, 1043, 9468, 1998, 27004, 8026, 21823, 4877, 2000, 2565, 1996, 20704, 2099, 1012, 2005, 2087, 3001, 1010, 2017, 2097, 2342, 2000, 16500, 1037, 3584, 6013, 1997, 1043, 9468, 1998, 8026, 21823, 4877, 2328, 2000, 4539, 20704, 2099, 1012, 1996, 6994, 24925, 2078, 14184, 2024, 24959, 2478, 1996, 17576, 20704, 2099, 1011, 1025, 2035, 1996, 2168, 9245, 1998, 2838, 2024, 2800, 1012, 2044, 2892, 1011, 21953, 1037, 2565, 2005, 20704, 2099, 1010, 1996, 4525, 12441, 3791, 2000, 2022, 2517, 2000, 1996, 5956, 1998, 1013, 2030, 25212, 21572, 2213, 2478, 1037, 1520, 1520, 20273, 1521, 1521, 1012, 1996, 20273, 5942, 1037, 3558, 4434, 2000, 1996, 20704, 2099, 1010, 1998, 3594, 2019, 9896, 9675, 1999, 1996, 2951, 4095, 15558, 1006, 3127, 2654, 1007, 2000, 4339, 1996, 2979, 2565, 2000, 1996, 9090, 1012, 1996, 5156, 6994, 2005, 6970, 7011, 6129, 2007, 1996, 20273, 2003, 20704, 4103, 12672, 1012, 2057, 2097, 2022, 2478, 1037, 20273, 2170, 12098, 8566, 5740, 1010, 2029, 2003, 2428, 2074, 1996, 12098, 8566, 5740, 9573, 11066, 2121, 3653, 1011, 8209, 1999, 1996, 20704, 2099, 1521, 1055, 3638, 1012, 1996, 9573, 11066, 2121, 9631, 1996, 12441, 3081, 1996, 25423, 5339, 1998, 7009, 2000, 1996, 4646, 3638, 2686, 1012, 1996, 4957, 2121, 7137, 17163, 1011, 4289, 3064, 8026, 12086, 2011, 12398, 1010, 2021, 2023, 20273, 2987, 1521, 1056, 5138, 2216, 1012, 2612, 1010, 2057, 2224, 13420, 2002, 2595, 4289, 8026, 12086, 1024, 20704, 2099, 1011, 1043, 9468, 1011, 3461, 10841, 1027, 27218, 29107, 16703, 2620, 2361, 1011, 1059, 2140, 1010, 1011, 1011, 1997, 2953, 18900, 1027, 1045, 5369, 2595, 1011, 1051, 2565, 1012, 2002, 2595, 2565, 1012, 1039, 2059, 2057, 2425, 20704, 4103, 12672, 2000, 2039, 11066, 1996, 12441, 1024, 20704, 4103, 12672, 1011, 1052, 27218, 29107, 16703, 2620, 2361, 1011, 1039, 12098, 8566, 5740, 1011, 1052, 1013, 16475, 1013, 23746, 10513, 19022, 2692, 1011, 1038, 5401, 16086, 2692, 1011, 1040, 1011, 1057, 5956, 1024, 1059, 1024, 2565, 1012, 2002, 2595, 1024, 1045, 2129, 2079, 2057, 2113, 1996, 8670, 6784, 3446, 2323, 2022, 5401, 16086, 2692, 1029, 2092, 1010, 20704, 4103, 12672, 2003, 20888, 3495, 2007, 1996, 9573, 11066, 2121, 1010, 2061, 2035, 2057, 2031, 2000, 2079, 2003, 2298, 2012, 1996, 9573, 11066, 2121, 3642, 1012, 1996, 12702, 8663, 13181, 10820, 2061, 2521, 2023, 2987, 1521, 1056, 2298, 2205, 3097, 1012, 1996, 5966, 2265, 2039, 2043, 2057, 3046, 2000, 2941, 4339, 1037, 2565, 2005, 1996, 20704, 2099, 1012, 2019, 11338, 2226, 2515, 2025, 2031, 1996, 2168, 2838, 2004, 1037, 12702, 21572, 9623, 21748, 1012, 2045, 2003, 2053, 16293, 1013, 5310, 5549, 7835, 1010, 2061, 1996, 5156, 10061, 2098, 4972, 2000, 3229, 4082, 2291, 2578, 2079, 2025, 4839, 1010, 2004, 2045, 2003, 2053, 4082, 2291, 2000, 3713, 1997, 1012, 2045, 2003, 2069, 2028, 2832, 1010, 3972, 3170, 4383, 2011, 1996, 2364, 1006, 1007, 3853, 1010, 2004, 2832, 3653, 6633, 16790, 5942, 1037, 4800, 10230, 6834, 4082, 2291, 1006, 3227, 19601, 2011, 7484, 3638, 1010, 2029, 11338, 2271, 2079, 2025, 2031, 1007, 1012, 2004, 2107, 1010, 2115, 2565, 2442, 2079, 2035, 8051, 3988, 3989, 12045, 1012, 14599, 1010, 11338, 2271, 2024, 3722, 2438, 2008, 2023, 2003, 1037, 9608, 4708, 1012, 2057, 2064, 2224, 20704, 2099, 1011, 5622, 9818, 2000, 3073, 3937, 26632, 2015, 1998, 4972, 1012, 1996, 2622, 4740, 2000, 23150, 1996, 1039, 3115, 3075, 1010, 2007, 1996, 22718, 2008, 2045, 2003, 2053, 4082, 2291, 2005, 8051, 24504, 1012, 1996, 20346, 5371, 1026, 20704, 2099, 1013, 22834, 1012, 1044, 1028, 6067, 26632, 2015, 2005, 1996, 18687, 1997, 2087, 2800, 11772, 1010, 1998, 1026, 20704, 2099, 1013, 17938, 1012, 1044, 1028, 6067, 26632, 2015, 2005, 17938, 19019, 1998, 3988, 3989, 23964, 1012, 2182, 2003, 1996, 20704, 2099, 9231, 5833, 2013, 1996, 2951, 4095, 15558, 1010, 2029, 2017, 2064, 2892, 1011, 4431, 2007, 1996, 12098, 8566, 5740, 8040, 28433, 4588, 1024, 1996, 9090, 2003, 26928, 2004, 2383, 1017, 1520, 1520, 8831, 1521, 1521, 1024, 3417, 1038, 1006, 7978, 2000, 1052, 24700, 16300, 1007, 1010, 3417, 1039, 1006, 7473, 2078, 1007, 1010, 1998, 3417, 1040, 1006, 22851, 2078, 1007, 1012, 1996, 2801, 2003, 2008, 2169, 3417, 2038, 1022, 16300, 1006, 3272, 3417, 1039, 1010, 3191, 9231, 13271, 1999, 2930, 1015, 1012, 1015, 1007, 2005, 5903, 4807, 1997, 27507, 2043, 26928, 2005, 3180, 3617, 1045, 1013, 1051, 1006, 1996, 12398, 1007, 1012, 2306, 2169, 3417, 1010, 2169, 9231, 2036, 2038, 14084, 9530, 8873, 27390, 3085, 4972, 1010, 2029, 17254, 2000, 1996, 6687, 15689, 3550, 10873, 1012, 2061, 1996, 25423, 5339, 16300, 1010, 1054, 2595, 2094, 1998, 19067, 2094, 1010, 2024, 4522, 4972, 1997, 1996, 3417, 1040, 16300, 1014, 1998, 1015, 1012, 2060, 4522, 4972, 2421, 5119, 20407, 1006, 1060, 9080, 2078, 1010, 25309, 2015, 1013, 24094, 1998, 1052, 2860, 2213, 1055, 1006, 1051, 2278, 26807, 1007, 1010, 6327, 17938, 2015, 1006, 7473, 18447, 2078, 1007, 1010, 7642, 16744, 2066, 11867, 2072, 1006, 8040, 2243, 1010, 28616, 2080, 1010, 9587, 5332, 1010, 7020, 1007, 1998, 1045, 2475, 2278, 1010, 4748, 2278, 1055, 1006, 4748, 2278, 2078, 1007, 1010, 1998, 2062, 1012, 2043, 1996, 11338, 2226, 4269, 2565, 7781, 1010, 2053, 4522, 9231, 4972, 2024, 3988, 3550, 1012, 1996, 2069, 6453, 2003, 7473, 2575, 1010, 2029, 2003, 16984, 2007, 1037, 19976, 2978, 2000, 9530, 8873, 27390, 2063, 25141, 15380, 1012, 2035, 2060, 3417, 16300, 2024, 2275, 2004, 13012, 1011, 3090, 20407, 1006, 2152, 1011, 17727, 29605, 1010, 1045, 1012, 1041, 1012, 2180, 1521, 1056, 3120, 2030, 7752, 2783, 1007, 1010, 1998, 17938, 2015, 2024, 9776, 1012, 1996, 2565, 2442, 2059, 9530, 8873, 27390, 2063, 2129, 2169, 9231, 2323, 2022, 2109, 1012, 1037, 3722, 2565, 2071, 2022, 2000, 2275, 3417, 1038, 2004, 2019, 6434, 1010, 1998, 4297, 28578, 4765, 1996, 3643, 7953, 2006, 3417, 1040, 1024, 1001, 2421, 1026, 20704, 2099, 1013, 22834, 1012, 1044, 1028, 20014, 2364, 1006, 11675, 1007, 1063, 20315, 15185, 1027, 1014, 2595, 4246, 1025, 2096, 1006, 1015, 1007, 3417, 2497, 1027, 1015, 1009, 9231, 2094, 1025, 2709, 1014, 1025, 1065, 1996, 20315, 2099, 2595, 18687, 5646, 3251, 2169, 9231, 1997, 1996, 7978, 3417, 2003, 2019, 6434, 2030, 2019, 7953, 1012, 4292, 1996, 4236, 2000, 1014, 2595, 4246, 9530, 8873, 27390, 2229, 2035, 3417, 1038, 16300, 2004, 27852, 1012, 2000, 20648, 2069, 3056, 16300, 1010, 2057, 2224, 1996, 26632, 1035, 1038, 2615, 1010, 2029, 2003, 5662, 2000, 1006, 1015, 1026, 1026, 1052, 2595, 2078, 1007, 1024, 20315, 15185, 1064, 1027, 1035, 1038, 2615, 1006, 1052, 2497, 2692, 1007, 1025, 1013, 1013, 2000, 2275, 1052, 2497, 2692, 2004, 2019, 6434, 20315, 15185, 1004, 1027, 1066, 1035, 1038, 2615, 1006, 1052, 2497, 2692, 1007, 1025, 1013, 1013, 2000, 2275, 1052, 2497, 2692, 2004, 2019, 7953, 1996, 3417, 2595, 18687, 2024, 4339, 3085, 1045, 1013, 1051, 3638, 11596, 2000, 2000, 24679, 27852, 2006, 1996, 7972, 3417, 1012, 1996, 9231, 2595, 18687, 2024, 3191, 3085, 11596, 2005, 11847, 20407, 1012, 20704, 2099, 1011, 5622, 9818, 17382, 1996, 3563, 11596, 2306, 2122, 26632, 15182, 2005, 2169, 9090, 2011, 2164, 9090, 1011, 3563, 20346, 6764, 1999, 1996, 1026, 20704, 2099, 1013, 22834, 1012, 1044, 1028, 20346, 1010, 7237, 2011, 1996, 1011, 3461, 10841, 21624, 5210, 1012, 2057, 2224, 2019, 10709, 7077, 2061, 2008, 2057, 2024, 10843, 16227, 1996, 7953, 2012, 3417, 1040, 1012, 14084, 1010, 2057, 2071, 2275, 3417, 2497, 2320, 1010, 1998, 2059, 2404, 1996, 11338, 2226, 2000, 3637, 2000, 25635, 1996, 3643, 4340, 2012, 2565, 2707, 1012, 1996, 25423, 5339, 1037, 25423, 5339, 2003, 1037, 3722, 5080, 2005, 7642, 4807, 1012, 7642, 2965, 2951, 2003, 2741, 1999, 5537, 2058, 1996, 2168, 7318, 1010, 2004, 4941, 2000, 2383, 1010, 2360, 1010, 1022, 14666, 19818, 1037, 24880, 2035, 2012, 2320, 1006, 2170, 5903, 4807, 1007, 1012, 2043, 2048, 25423, 21217, 2024, 4198, 2005, 4807, 1010, 1996, 19818, 9231, 19067, 1997, 2028, 2003, 17502, 2000, 1996, 4374, 9231, 1054, 2595, 1997, 1996, 2060, 1010, 1998, 3580, 18601, 1012, 2119, 1996, 20704, 2099, 1998, 1996, 3027, 21926, 2475, 2099, 2024, 2440, 1011, 4241, 19386, 1010, 3574, 2027, 2064, 19818, 1998, 4374, 7453, 1010, 2302, 2383, 2000, 2202, 4332, 1006, 2431, 1011, 4241, 19386, 1007, 1012, 2006, 1996, 3677, 1006, 3274, 1007, 2217, 1010, 1996, 3027, 21926, 2475, 2099, 4062, 14451, 2015, 1996, 4807, 2004, 1037, 23746, 2100, 8278, 1010, 2029, 4490, 2066, 1037, 8667, 2000, 1996, 3027, 21926, 2475, 2099, 1012, 2061, 2065, 2017, 4339, 1037, 2839, 2000, 1996, 23746, 2100, 1006, 3227, 2097, 2022, 1013, 16475, 1013, 23746, 10513, 19022, 2692, 1007, 1010, 1037, 2951, 4853, 4820, 2008, 2839, 2097, 3769, 2041, 2012, 1996, 19067, 2094, 9231, 1997, 1996, 3027, 21926, 2475, 2099, 1010, 2029, 2003, 2059, 4198, 2000, 1996, 1054, 2595, 2094, 9231, 1997, 1996, 20704, 2099, 1012, 18868, 1010, 2065, 2017, 2565, 1996, 20704, 2099, 2000, 19818, 1037, 2839, 1010, 2009, 2097, 4604, 1037, 2951, 4853, 2013, 2049, 19067 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1021, 5408, 2003, 2085, 5604, 2878, 28115, 7975, 1999, 2070, 5324, 1010, 6183, 2046, 3151, 13025, 5324, 3700, 1012, 11333, 4213, 11333, 4213, 1521, 1055, 2003, 4855, 7708, 6178, 14289, 14693, 3630, 1010, 2119, 9587, 7507, 1998, 19443, 14894, 2098, 2247, 2007, 16876, 1011, 15212, 1010, 24792, 5744, 3111, 6183, 1999, 2000, 4825, 1998, 4157, 18111, 3700, 1012, 24547, 28637, 3619, 2003, 2085, 4855, 4840, 5909, 1010, 6763, 1998, 5604, 2184, 2047, 4840, 4810, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 2833, 5167, 2023, 2991, 1012, 1045, 2071, 2175, 2006, 1998, 2006, 1010, 2017, 2131, 1996, 3861, 1012, 10390, 2024, 8790, 2025, 10763, 1010, 2076, 2122, 9662, 3171, 2335, 1996, 7325, 2003, 2025, 3228, 2039, 2006, 14894, 1010, 14902, 1010, 2833, 4031, 16227, 1012, 2054, 2027, 2024, 2725, 2003, 13648, 4495, 2306, 3151, 20859, 1997, 4353, 2007, 2047, 2833, 14793, 1010, 2047, 2833, 4031, 11073, 1010, 2047, 2833, 4664, 2075, 1998, 6975, 20874, 2035, 4352, 1996, 7325, 2000, 5454, 2096, 21934, 28250, 2075, 2037, 3268, 1012, 2053, 4753, 1997, 1996, 7027, 2833, 3068, 2064, 2717, 2006, 2054, 2027, 2031, 2589, 1012, 8027, 4435, 3860, 2964, 9887, 3432, 2024, 25963, 1998, 2097, 2025, 2147, 2023, 2051, 2105, 1012, 2009, 2025, 2055, 27788, 26703, 2115, 4435, 1012, 2009, 2003, 3432, 20607, 2115, 4435, 2007, 1996, 7325, 1012, 3112, 2515, 2681, 15774, 1998, 2206, 1996, 7325, 2003, 9789, 2193, 2028, 1012, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 10552, 2306, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 6928, 1010, 2257, 2382, 1010, 2230, 1037, 5695, 9667, 2320, 2056, 1024, 1523, 2166, 2064, 2022, 5319, 2011, 2559, 8848, 1010, 2021, 2442, 2022, 2973, 2011, 2559, 2830, 1012, 1524, 2009, 1521, 1055, 3154, 2008, 2193, 24514, 2075, 6115, 2040, 2320, 2052, 4965, 1013, 15697, 1999, 1037, 4677, 4825, 2005, 2048, 2030, 2093, 2086, 1010, 4636, 3176, 2047, 5324, 2059, 5271, 2052, 2128, 9331, 2312, 5651, 1012, 2013, 1996, 2397, 3963, 1521, 1055, 3770, 1521, 1055, 1998, 2092, 2046, 1996, 2901, 1521, 1055, 2009, 2790, 1037, 3793, 2338, 5675, 2005, 3112, 1012, 3316, 1996, 2007, 1996, 6335, 2243, 1997, 1024, 9348, 2968, 1010, 28477, 3007, 1010, 2521, 8095, 2239, 3007, 2968, 11775, 1012, 9464, 22625, 9583, 1010, 2803, 5826, 2968, 11775, 1998, 3103, 3007, 1045, 2071, 2175, 2006, 1998, 2006, 1012, 2018, 3112, 1010, 2070, 1037, 2261, 1045, 2453, 5587, 2145, 2079, 1012, 8209, 2007, 15038, 1521, 1055, 2013, 7563, 2028, 2816, 1010, 9387, 2020, 14834, 2039, 2000, 2593, 3693, 2030, 2707, 2037, 2219, 4825, 17834, 4636, 1012, 24514, 2075, 1996, 3616, 1998, 4208, 2006, 6515, 8122, 2009, 2246, 2004, 2065, 2008, 5675, 2052, 2147, 5091, 1012, 2028, 3291, 1996, 8013, 2333, 1012, 2043, 1996, 4610, 2357, 4825, 3316, 4208, 2006, 3616, 2069, 1998, 6515, 8122, 3030, 3652, 1010, 8328, 3197, 1010, 2439, 2566, 1011, 3573, 4341, 1012, 1996, 3643, 1997, 1996, 2434, 5211, 1999, 2755, 1999, 2116, 3572, 2211, 2000, 22802, 1012, 2738, 2084, 18497, 1996, 4677, 2005, 1037, 5618, 1010, 2116, 17834, 5029, 2179, 2009, 2001, 3223, 2000, 1999, 20614, 3176, 5356, 999, 2054, 2001, 5409, 2027, 2071, 2025, 5271, 2070, 1997, 1996, 8859, 1012, 2008, 2001, 2025, 2112, 1997, 1996, 2933, 999, 9090, 4140, 2571, 4916, 18651, 1010, 23968, 2015, 10733, 1998, 2274, 3124, 1521, 1055, 15890, 2015, 1010, 2169, 2007, 1037, 3579, 2006, 1996, 8013, 1998, 2007, 7782, 4105, 10131, 2098, 1996, 9874, 1012, 2027, 2441, 2047, 3197, 1010, 3473, 2119, 1996, 2327, 1998, 3953, 2240, 1012, 2065, 3112, 3727, 15774, 5821, 1010, 19120, 2007, 1037, 3579, 2006, 1996, 7325, 2096, 20607, 2115, 4435, 2074, 2453, 2022, 3145, 2000, 2925, 3112, 1012, 2440, 2326, 1010, 10017, 1998, 4248, 10017, 7884, 2064, 13265, 3112, 12332, 1997, 1996, 1019, 1052, 1521, 1055, 1997, 2833, 5821, 1012, 17834, 5029, 2453, 2215, 2000, 16462, 9440, 2121, 7903, 2063, 7300, 1998, 2049, 1019, 1052, 1521, 1055, 1997, 24665, 10085, 23169, 2102, 4840, 4810, 2833, 5821, 1025, 4031, 1010, 14793, 1010, 11073, 1010, 3417, 8010, 1998, 3976, 2007, 1037, 7325, 3579, 2007, 2115, 2279, 4084, 1012, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 10552, 2306, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 10552, 2306, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 3740, 2021, 2025, 3517, 5797, 9530, 27108, 2015, 1010, 2708, 2592, 2961, 2005, 5759, 2241, 10733, 12570, 7065, 12260, 2094, 2008, 2049, 2095, 2214, 18059, 10439, 2038, 1523, 7013, 2039, 2000, 1021, 2454, 1999, 4341, 1524, 1012, 9530, 27108, 2015, 2506, 1523, 1045, 2831, 2000, 3026, 1011, 2504, 7027, 2111, 1010, 1998, 1045, 1521, 1049, 7135, 2043, 1045, 2963, 2068, 2360, 2027, 2228, 2009, 1521, 1055, 1037, 6904, 2094, 2008, 1521, 1055, 2183, 2000, 3413, 1010, 1524, 9530, 27108, 2015, 2056, 1997, 26381, 5097, 1012, 1523, 2009, 1521, 1055, 2053, 2936, 2183, 2000, 2022, 1037, 4658, 2518, 2000, 2031, 1037, 4684, 10439, 1012, 2009, 1521, 1055, 2183, 2000, 2022, 1037, 8013, 17626, 1012, 1524, 2045, 2031, 2042, 2055, 1016, 2454, 22956, 1997, 10733, 12570, 1521, 1055, 18059, 10439, 1012, 2006, 2257, 5351, 2230, 2256, 9927, 1024, 2064, 2017, 4175, 1996, 29500, 2006, 2799, 5764, 6936, 2047, 20859, 1997, 4353, 1012, 1045, 2031, 20988, 4455, 2144, 2013, 1039, 1011, 2504, 4825, 1998, 15106, 5324, 8390, 4851, 2065, 2037, 8013, 2038, 2333, 1012, 10166, 1010, 1045, 2106, 2025, 2342, 2000, 3437, 1012, 1996, 3980, 2003, 2073, 2038, 2045, 4435, 2333, 1999, 1996, 2627, 2093, 2086, 1012, 2116, 3432, 2024, 24114, 6599, 3279, 2006, 2256, 3171, 2335, 1012, 27589, 28556, 999, 7564, 1997, 9639, 2024, 3652, 1025, 3745, 1997, 4308, 1012, 2748, 1010, 3745, 1997, 4308, 2003, 2108, 2417, 2923, 3089, 8569, 3064, 1012, 1996, 4791, 2421, 4677, 7884, 1010, 15106, 5324, 1010, 13025, 5324, 1998, 4319, 5324, 2007, 7902, 2006, 1996, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 24665, 10085, 23169, 2102, 18111, 1012, 2065, 2115, 4435, 2003, 2025, 3652, 2009, 2003, 5996, 1012, 4684, 10439, 1521, 1055, 2024, 2074, 2028, 19717, 1997, 1037, 3144, 5656, 1999, 2833, 7027, 2075, 2651, 1012, 3465, 3597, 2038, 2049, 2126, 1010, 1996, 11240, 3496, 2635, 2173, 2012, 2049, 16679, 3560, 5324, 2097, 2574, 2022, 2006, 1996, 2693, 1011, 1011, 2000, 1996, 21698, 6670, 7258, 2124, 2004, 1000, 8133, 1000, 4460, 1010, 2029, 2031, 2146, 2042, 1996, 14585, 1997, 2502, 1011, 3482, 16629, 1998, 2533, 5324, 2003, 6224, 5269, 2306, 25943, 1012, 2073, 2024, 2115, 6304, 1029, 24665, 10085, 23169, 2102, 2565, 20794, 2800, 1025, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 2833, 3068, 22283, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 5958, 1010, 2257, 2676, 1010, 2230, 3164, 3144, 2064, 2022, 2179, 1999, 4840, 4810, 2833, 4855, 2012, 15106, 5324, 1012, 11333, 4213, 2038, 2623, 2008, 2027, 2024, 5738, 1996, 3516, 3006, 2220, 1999, 2249, 1012, 2096, 7123, 2480, 4247, 2006, 2009, 1521, 1055, 4935, 3298, 2148, 1998, 2264, 1012, 2119, 1997, 2122, 8859, 3613, 2000, 25220, 1998, 3298, 5096, 16911, 8013, 4208, 7954, 6686, 4840, 4810, 1998, 12109, 2833, 1012, 9036, 1521, 1055, 2236, 5324, 1010, 4297, 4518, 4247, 2000, 4125, 2006, 15336, 12143, 1010, 2021, 1996, 4518, 3976, 2003, 3020, 2084, 1996, 3749, 2011, 4862, 3672, 3370, 6411, 2063, 1011, 16985, 2094, 4297, 1012, 1996, 3114, 3090, 2034, 2005, 1996, 2202, 2058, 3749, 2001, 1996, 5151, 3105, 2008, 9036, 1521, 1055, 2001, 2725, 4439, 2327, 2240, 4341, 2007, 4840, 4810, 2833, 21862, 1996, 24665, 10085, 23169, 2102, 18111, 1012, 1996, 2136, 2012, 9036, 1521, 1055, 2003, 2725, 1037, 2200, 2204, 3105, 999, 9036, 1521, 1055, 2003, 2311, 2327, 2240, 4341, 1998, 3953, 2240, 11372, 2096, 4852, 8013, 9721, 2007, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 4840, 4810, 2833, 1012, 1021, 5408, 1996, 2922, 15106, 3573, 4677, 2003, 2130, 2062, 8052, 1012, 2027, 2020, 1523, 2426, 1996, 4069, 9639, 2956, 2006, 4297, 1012, 2932, 1005, 1055, 2959, 3296, 4297, 1012, 13509, 1010, 2019, 7262, 5464, 1997, 1996, 3842, 1005, 1055, 7915, 1011, 3652, 2797, 3316, 1524, 1012, 2027, 2024, 1996, 2922, 15106, 3573, 2194, 1998, 3205, 2004, 2028, 1997, 1996, 7915, 3652, 1025, 2008, 2003, 5186, 3697, 2000, 14570, 999, 2054, 2024, 1996, 6853, 2005, 1021, 5408, 1029, 24665, 10085, 23169, 2102, 4840, 4810, 2833, 1998, 5024, 8335, 4105, 1012, 7884, 1010, 13025, 5324, 1998, 4319, 5324, 2035, 2442, 7065, 17417, 2102, 4435, 19120, 21923, 2007, 2023, 2047, 6387, 3298, 1998, 3579, 2006, 3745, 1997, 4308, 2013, 1996, 15106, 3573, 4753, 1012, 16911, 1996, 1019, 1052, 1521, 1055, 1997, 24665, 10085, 23169, 2102, 4840, 4810, 2833, 5821, 1025, 4031, 1010, 14793, 1010, 11073, 1010, 3417, 8010, 1998, 3976, 2007, 1037, 7325, 3579, 1010, 10390, 1998, 3316, 2064, 2119, 2663, 1012, 24665, 10085, 23169, 2102, 2565, 20794, 2800, 1025, 2144, 2889, 9440, 2121, 7903, 2063, 7300, 1997, 22954, 1010, 11333, 2038, 2042, 1996, 3795, 3003, 1999, 1996, 24665, 10085, 23169, 2102, 18111, 2005, 2062, 2006, 7112, 1037, 1012, 3779, 1998, 9440, 2121, 7903, 2063, 7300, 3942, 8299, 1024, 1013, 1013, 7479, 1012, 5799, 2378, 1012, 4012, 1013, 1999, 1013, 24665, 10085, 23169, 2102, 2030, 2006, 9130, 2012, 7112, 3779, 2030, 17620, 1013, 8224, 1024, 7112, 3779, 24665, 10085, 23169, 3215, 9432, 1010, 2257, 2656, 1010, 2230, 7567, 1999, 1037, 5402, 1997, 7396, 14422, 1998, 8027, 12046, 1521, 1055, 27937, 2094, 1521, 1055, 12220, 19838, 5620, 3166, 1997, 1523, 1037, 2298, 2046, 1996, 2925, 1997, 9440, 2121, 7903, 2063, 1524, 7657, 2008, 1523, 7879, 2000, 1057, 1012, 1055, 1012, 7884, 2024, 19939, 2098, 2000, 4982, 2625, 2084, 2028, 3867, 1037, 2095, 2058, 1996, 2279, 5476, 1012, 2008, 2003, 12430, 2084, 1996, 1015, 1012, 1015, 3867, 1997, 3930, 11310, 1999, 1996, 1057, 1012, 1055, 1012, 2313, 1012, 7328, 2008, 2007, 2019, 12520, 2313, 5873, 7884, 2625, 4703, 9005, 2019, 4895, 21678, 2989, 3193, 2005, 1996, 3930, 1998, 5618, 8010, 1997, 2116, 1037, 4825, 8859, 2429, 2000, 19838, 5620, 1998, 27937, 2094, 1012, 2174, 1024, 1996, 3201, 1011, 2000, 1011, 4521, 1998, 3201, 1011, 2000, 1011, 3684, 4840, 4810, 24665, 10085, 23169, 2102, 2833, 18111, 2003, 20607, 2046, 1996, 2373, 4753, 1997, 7027, 9440, 2121, 7903, 2063, 1012, 1996, 24665, 10085, 23169, 2102, 18111, 4208, 2006, 7954, 6642, 2008, 13711, 3674, 15982, 11105, 1012, 2008, 2038, 2023, 2095, 2894, 6296, 3316, 1996, 7777, 1997, 24547, 28637, 3619, 1010, 1021, 5408, 1010, 1998, 2003, 2128, 24454, 28660, 3731, 3006, 1012, 1996, 24665, 10085, 23169, 2102, 18111, 2003, 11539, 1997, 3262, 7884, 1010, 2059, 13025, 5324, 1010, 1039, 1011, 5324, 1010, 2085, 4319, 5324, 1012, 10390, 2024, 8790, 2025, 10763, 1010, 2047, 12046, 2015, 1997, 7325, 2833, 7060, 3305, 1998, 7919, 16157, 4495, 2651, 1998, 4826, 1012, 1996, 24665, 10085, 23169, 2102, 18111, 2003, 3561, 2007, 7884, 1010, 13025, 5324, 1010, 15106, 5324, 1010, 4319, 5324, 2169, 16911, 2047, 12046, 1521, 1055, 2000, 4503, 7325, 4208, 4495, 2005, 4826, 1010, 2169, 2311, 8013, 6075, 1010, 9721, 1998, 2327, 2240, 4341, 1012, 2123, 1521, 1056, 2292, 2115, 4435, 2131, 7567, 1999, 1996, 2627, 999, 2123, 1521, 1056, 2131, 7567, 2046, 12560, 4435, 3860, 2964, 2096, 2115, 7325, 2003, 3048, 1012, 2651, 2169, 4245, 2003, 4208, 2006, 2833 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2028, 1997, 1996, 5221, 20828, 1997, 16108, 2003, 2049, 1521, 3596, 3075, 2005, 8304, 3596, 7961, 1012, 2130, 2295, 16108, 2038, 2070, 2328, 1011, 1999, 2433, 9398, 18926, 2004, 3223, 1010, 2009, 2823, 2003, 4072, 2000, 3443, 2115, 2219, 2433, 9398, 18926, 1012, 23561, 5533, 1998, 22643, 3596, 1999, 16108, 1010, 2045, 2024, 2048, 2433, 14184, 1024, 23561, 5533, 1998, 22643, 1012, 1996, 23561, 1011, 5533, 4473, 2017, 2000, 20648, 1996, 2433, 7961, 1999, 1996, 23561, 1998, 22643, 4473, 2017, 2000, 4339, 2115, 2433, 2004, 4127, 23235, 3642, 1999, 1996, 23561, 1012, 2023, 2965, 2008, 4526, 7661, 9398, 18926, 2005, 23561, 5533, 3596, 2003, 6069, 2022, 3621, 2367, 2013, 22643, 3596, 1012, 1996, 4489, 2003, 10468, 2008, 2017, 2024, 6069, 10236, 1996, 22643, 7661, 9398, 8844, 1999, 1037, 16449, 2000, 2191, 2009, 2147, 2007, 23561, 5533, 3596, 1012, 2065, 2017, 2024, 2478, 23561, 5533, 3596, 1045, 16755, 16861, 2115, 7661, 9398, 18926, 1999, 1037, 2126, 2008, 2027, 2024, 2036, 11892, 2007, 22643, 3596, 1010, 2323, 2017, 2215, 2000, 2224, 2008, 1012, 4526, 1037, 7661, 9398, 8844, 2005, 22643, 3596, 4526, 1037, 7661, 9398, 8844, 2005, 22643, 3596, 2003, 2941, 2062, 3722, 2084, 2005, 1037, 23561, 5533, 2433, 1012, 2017, 2069, 2342, 2000, 10408, 9398, 8844, 2546, 2078, 1010, 2029, 3138, 1037, 2433, 2491, 1998, 5651, 2019, 7561, 4874, 1012, 1037, 3058, 9398, 8844, 2064, 2022, 2580, 2004, 1024, 19528, 1011, 3058, 1012, 9398, 8844, 1012, 16449, 1012, 24529, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 2182, 2057, 2024, 9398, 5844, 2065, 1996, 7953, 2064, 2022, 4991, 2000, 1037, 3058, 1998, 2065, 2025, 1010, 2057, 2709, 2019, 7561, 4874, 2007, 1523, 19528, 13701, 1524, 2275, 1009, 1996, 19528, 3643, 1010, 2023, 2043, 2064, 2022, 2109, 2000, 4653, 2019, 7561, 4471, 2000, 1996, 5310, 1012, 2023, 9398, 8844, 2003, 13322, 2039, 2000, 1037, 22643, 2433, 2066, 2023, 1024, 28681, 2080, 1012, 6922, 1012, 24529, 2023, 1012, 2433, 1027, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2177, 1006, 1063, 2516, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 6412, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 2349, 13701, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1010, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1007, 1010, 1065, 1007, 1025, 1015, 1016, 1017, 1018, 1019, 2023, 1012, 2433, 1027, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2177, 1006, 1063, 2516, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 6412, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1007, 1010, 2349, 13701, 1024, 2023, 1012, 2433, 8569, 23891, 2099, 1012, 2491, 1006, 1005, 1005, 1010, 9398, 18926, 1012, 3223, 1010, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1007, 1010, 1065, 1007, 1025, 4526, 1037, 7661, 9398, 8844, 2005, 23561, 5533, 3596, 2004, 2056, 2077, 1010, 2043, 4526, 1037, 7661, 9398, 8844, 2005, 1037, 23561, 5533, 2433, 1010, 2017, 2323, 2031, 2580, 1996, 9398, 8844, 1042, 2078, 2034, 1010, 2029, 2003, 2109, 19802, 22139, 2135, 2065, 2009, 2001, 1999, 1037, 22643, 2433, 1024, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 1030, 16449, 1006, 1063, 27000, 1024, 1005, 1031, 10439, 2378, 10175, 3593, 13701, 1033, 1005, 1010, 11670, 1024, 1031, 1063, 3073, 1024, 12835, 1035, 9398, 18926, 1010, 2224, 10288, 2923, 2075, 1024, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 1010, 4800, 1024, 2995, 1065, 1033, 1065, 1007, 9167, 2465, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 22164, 9398, 8844, 1063, 1013, 1013, 24529, 4115, 2102, 1024, 4487, 19150, 1011, 2279, 1011, 2240, 1024, 2053, 1011, 7953, 1011, 14916, 14074, 1030, 7953, 1006, 1005, 10439, 2378, 10175, 3593, 13701, 1005, 1007, 2270, 19528, 13701, 1024, 5164, 1025, 2270, 9398, 3686, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1063, 2709, 2023, 1012, 19528, 13701, 1029, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1006, 2491, 1007, 1024, 19701, 1025, 1065, 1065, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 2184, 2340, 2260, 2410, 2403, 2321, 2385, 2459, 2324, 2539, 9167, 3853, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1027, 1028, 1063, 9530, 3367, 3058, 1027, 2047, 3058, 1006, 2491, 1012, 3643, 1007, 1025, 9530, 3367, 19528, 13701, 1027, 999, 2491, 1012, 3643, 1064, 1064, 3058, 1012, 2131, 9629, 2232, 1027, 1027, 1027, 6151, 28344, 1025, 2709, 19528, 13701, 1029, 1063, 1005, 19528, 13701, 1005, 1024, 1063, 3643, 1024, 2491, 1012, 3643, 1065, 1065, 1024, 19701, 1025, 1065, 1025, 1065, 1030, 16449, 1006, 1063, 27000, 1024, 1005, 1031, 10439, 2378, 10175, 3593, 13701, 1033, 1005, 1010, 11670, 1024, 1031, 1063, 3073, 1024, 12835, 1035, 9398, 18926, 1010, 2224, 10288, 2923, 2075, 1024, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 1010, 4800, 1024, 2995, 1065, 1033, 1065, 1007, 9167, 2465, 19528, 13701, 10175, 8524, 4263, 4305, 2890, 15277, 22164, 9398, 8844, 1063, 1013, 1013, 24529, 4115, 2102, 1024, 4487, 19150, 1011, 2279, 1011, 2240, 1024, 2053, 1011, 7953, 1011, 14916, 14074, 1030, 7953, 1006, 1005, 10439, 2378, 10175, 3593, 13701, 1005, 1007, 2270, 19528, 13701, 1024, 5164, 1025, 2270, 9398, 3686, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1063, 2709, 2023, 1012, 19528, 13701, 1029, 19528, 13701, 10175, 8524, 4263, 2546, 2078, 1006, 1007, 1006, 2491, 1007, 1024, 19701, 1025, 1065, 1065, 2005, 2478, 1037, 9398, 8844, 1999, 1037, 23561, 1011, 5533, 2433, 2057, 8103, 2009, 1999, 2007, 1037, 16449, 1012, 5060, 2008, 2057, 14187, 2000, 2019, 17961, 2007, 1031, 1033, 1999, 1996, 27000, 1012, 1996, 2126, 2057, 8103, 2009, 2046, 16108, 23561, 5533, 3596, 2011, 5815, 1996, 16449, 2000, 16108, 1521, 1055, 12835, 1035, 9398, 18926, 2478, 1996, 4800, 5724, 1012, 12835, 1035, 9398, 18926, 2003, 1037, 10802, 16108, 2003, 2478, 2006, 2296, 2433, 2689, 2000, 7077, 2083, 1996, 9398, 18926, 1999, 1996, 2433, 1998, 10651, 1996, 2433, 1521, 1055, 16406, 1012, 1037, 9398, 8844, 16449, 22164, 9398, 8844, 2013, 1030, 16108, 1013, 3596, 2029, 5383, 1037, 9398, 3686, 2655, 5963, 2029, 2003, 2170, 2011, 16108, 3596, 11336, 2043, 2009, 2009, 22139, 2015, 2006, 2035, 16449, 2015, 13322, 2046, 12835, 1035, 9398, 18926, 1012, 7953, 2000, 1037, 9398, 8844, 2064, 2022, 2589, 2007, 2019, 7953, 9398, 8844, 2008, 3503, 1996, 27000, 2015, 2171, 1012, 1037, 13576, 7577, 2005, 4526, 1037, 12379, 7661, 9398, 8844, 10303, 1010, 2438, 1997, 1996, 8727, 5821, 1529, 1045, 2031, 2179, 2009, 2071, 2468, 6945, 6313, 2005, 2725, 2035, 1996, 2682, 2832, 2005, 2428, 3722, 27354, 7961, 1010, 2061, 2005, 2008, 3114, 1010, 1045, 2234, 2039, 2007, 1037, 7661, 9398, 8844, 16449, 2008, 16157, 2015, 22017, 20898, 11423, 1012, 2005, 3375, 27354, 7961, 1045, 2052, 2066, 2000, 4372, 17695, 23722, 3686, 27354, 7961, 1010, 2066, 1999, 1996, 2682, 2742, 1010, 2021, 2065, 2009, 2003, 2428, 3722, 22017, 20898, 11423, 1045, 9544, 2121, 2000, 2224, 1996, 12379, 7661, 9398, 8844, 1010, 2004, 2009, 13169, 2017, 2013, 2725, 1996, 2682, 4084, 2005, 2296, 9398, 8844, 1012, 1996, 12379, 7661, 9398, 8844, 3504, 2066, 2023, 1024, 9167, 2465, 7661, 10175, 8524, 4263, 1063, 9570, 2953, 1006, 2270, 3670, 1024, 1006, 1007, 1027, 1028, 22017, 20898, 1010, 2270, 9398, 8844, 18442, 1024, 5164, 1007, 1063, 1065, 1065, 9167, 3853, 7661, 10175, 8524, 4263, 2546, 2078, 21450, 1006, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 3853, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1063, 9530, 3367, 7561, 16429, 3501, 1027, 1063, 1065, 1025, 7561, 16429, 3501, 1031, 7661, 10175, 8524, 4263, 1012, 9398, 8844, 18442, 1033, 1027, 2995, 1025, 2709, 7661, 10175, 8524, 4263, 1012, 3670, 1006, 1007, 1029, 19701, 1024, 7561, 16429, 3501, 1025, 1065, 1025, 1065, 1030, 16449, 1006, 1063, 27000, 1024, 1005, 1031, 10439, 7874, 20389, 10175, 8524, 4263, 1033, 1005, 1010, 11670, 1024, 1031, 1063, 3073, 1024, 12835, 1035, 9398, 18926, 1010, 2224, 10288, 2923, 2075, 1024, 7661, 10175, 8524, 4263, 4305, 2890, 15277, 1010, 4800, 1024, 2995, 1065, 1033, 1065, 1007, 9167, 2465, 7661, 10175, 8524, 4263, 4305, 2890, 15277, 22164, 9398, 8844, 1063, 2797, 1035, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1025, 2270, 2131, 10439, 7874, 20389, 10175, 8524, 4263, 1006, 1007, 1024, 7661, 10175, 8524, 4263, 1063, 2709, 2023, 1012, 1035, 7661, 10175, 8524, 4263, 1025, 1065, 1030, 7953, 1006, 1007, 2270, 2275, 10439, 7874, 20389, 10175, 8524, 4263, 1006, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1007, 1063, 2023, 1012, 1035, 7661, 10175, 8524, 4263, 1027, 7661, 10175, 8524, 4263, 1025, 2065, 1006, 2023, 1012, 1035, 2006, 22305, 2063, 1007, 1063, 2023, 1012, 1035, 2006, 22305, 2063, 1006, 1007, 1025, 1065, 1065, 2797, 1035, 2006, 22305, 2063, 1024, 1006, 1007, 1027, 1028, 11675, 1025, 9570, 2953, 1006, 1007, 1063, 1065, 2270, 9398, 3686, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1024, 1063, 1031, 3145, 1024, 5164, 1033, 1024, 2151, 1065, 1063, 2709, 7661, 10175, 8524, 4263, 2546, 2078, 21450, 1006, 2023, 1012, 10439, 7874, 20389, 10175, 8524, 4263, 1007, 1006, 2491, 1007, 1025, 1065, 16770, 1024, 1013, 1013, 3017, 2135, 3207, 5804, 1012, 4012, 1013, 1059, 2361, 1011, 4748, 10020, 1013, 2695, 1012, 25718, 1029, 2695, 1027, 19492, 1004, 2895, 1027, 10086, 1001, 2270, 4236, 2239, 10175, 8524, 4263, 22305, 2063, 1029, 1006, 1042, 2078, 1024, 1006, 1007, 1027, 1028, 11675, 1007, 1024, 11675, 1063, 2023, 1012, 1035, 2006, 22305, 2063, 1027, 1042, 2078, 1025, 1065, 1065, 1015, 1016, 1017, 1018, 1019, 1020, 1021, 1022, 1023, 2184, 2340, 2260, 2410, 2403, 2321, 2385, 2459, 2324, 2539, 2322, 2538, 2570, 2603, 2484, 2423, 2656, 2676, 2654, 2756, 2382, 2861, 3590, 3943, 4090, 3486, 4029, 4261, 4229, 4464, 2871, 4601, 4413, 4724, 9167, 2465, 7661, 10175, 8524, 4263, 1063, 9570, 2953, 1006, 2270, 3670, 1024, 1006, 1007, 1027, 1028, 22017, 20898, 1010, 2270, 9398, 8844, 18442, 1024, 5164, 1007, 1063, 1065, 1065, 9167, 3853, 7661, 10175, 8524, 4263, 2546, 2078, 21450, 1006, 7661, 10175, 8524, 4263, 1024, 7661, 10175, 8524, 4263, 1007, 1024, 9398, 8844, 2546, 2078, 1063, 2709, 3853, 1006, 2491, 1024, 10061, 8663, 13181, 2140, 1007, 1063, 9530, 3367, 7561, 16429, 3501, 1027, 1063, 1065, 1025, 7561, 16429, 3501, 1031, 7661, 10175, 8524, 4263, 1012, 9398, 8844, 18442, 1033, 1027, 2995, 1025, 2709, 7661, 10175, 8524, 4263, 1012, 3670, 1006, 1007, 1029 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 3166, 1024, 1011, 1005, 10556, 9759, 2080, 1031, 11041, 2050, 1033, 1063, 1065, 1031, 1034, 1015, 1033, 1005, 2516, 1024, 1005, 10768, 18752, 2863, 10177, 4588, 1998, 2146, 2558, 3424, 7512, 21716, 25440, 4588, 12335, 1999, 2152, 6714, 2002, 28992, 4059, 8859, 2007, 1002, 1040, 1002, 1011, 25502, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2426, 2536, 12564, 2598, 2163, 1999, 8559, 16853, 2964, 1010, 1996, 11085, 7847, 2063, 2110, 1999, 1996, 16109, 6714, 3424, 7512, 21716, 25440, 4588, 2002, 28992, 4059, 4677, 1031, 1030, 1042, 2094, 1033, 2038, 2042, 2087, 8077, 3273, 2119, 6388, 2135, 1998, 22634, 1012, 2023, 2110, 2003, 7356, 2011, 1996, 5023, 3424, 7512, 21716, 25440, 4588, 5164, 2344, 5642, 2011, 1996, 1002, 1062, 1035, 1016, 1032, 2335, 1062, 1035, 1016, 1002, 14991, 12554, 1999, 8741, 1997, 1996, 3739, 1997, 1996, 2943, 6578, 1998, 27258, 13121, 1997, 1996, 6714, 1011, 6714, 16902, 3853, 1012, 1996, 3733, 4946, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 1002, 1040, 1006, 1028, 1014, 1007, 1002, 20735, 1996, 11085, 7847, 2063, 2598, 2110, 2877, 2000, 1996, 2312, 1011, 1002, 1040, 1002, 2110, 2007, 10713, 2943, 6578, 1998, 27258, 13121, 1997, 1996, 6714, 1011, 6714, 16902, 3853, 1031, 1008, 2302, 3563, 2344, 1008, 1033, 1063, 1065, 1012, 2006, 1996, 10043, 1010, 1996, 3733, 8123, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 1006, 1002, 1040, 1026, 1014, 1002, 1007, 9297, 1996, 11085, 7847, 2063, 2110, 2046, 1996, 7663, 2140, 2110, 1012, 1031, 1030, 9108, 1025, 1030, 1044, 2102, 1025, 1030, 8802, 1033, 2006, 1996, 2060, 2192, 1010, 1996, 2598, 2110, 1997, 1996, 5976, 6714, 2002, 28992, 4059, 4677, 2003, 1996, 3419, 7856, 3654, 1011, 11320, 13027, 2121, 6381, 2110, 1012, 2349, 2000, 2049, 4187, 3267, 1010, 1996, 2598, 2110, 2003, 5533, 2000, 1996, 7663, 2140, 3641, 2110, 2005, 10709, 5332, 9067, 4997, 1002, 1040, 1002, 2096, 1996, 11320, 13027, 2121, 6381, 2110, 2003, 6540, 2114, 3893, 1002, 1040, 1002, 1031, 1030, 1044, 22578, 1033, 1012, 1999, 2023, 6123, 1010, 2009, 2003, 2019, 5875, 3277, 2000, 8556, 2129, 1996, 2598, 2163, 1997, 1996, 8559, 6714, 8859, 2024, 6310, 2065, 1996, 3733, 1011, 8123, 1998, 3733, 1011, 4946, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 24873, 9048, 3367, 1999, 1037, 2309, 4677, 1012, 1999, 1996, 3025, 2147, 1031, 1030, 12456, 2094, 1033, 1010, 1996, 2556, 3166, 1998, 8802, 10847, 1996, 1002, 1055, 1027, 1015, 1002, 4677, 2007, 15122, 2309, 1011, 2609, 2019, 19565, 13181, 7685, 1998, 2179, 2008, 1996, 2558, 11515, 7663, 2140, 4403, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 3252, 2003, 3651, 2005, 2844, 11477, 9323, 22261, 1010, 2348, 1996, 11085, 7847, 2063, 4403, 2003, 6540, 2005, 5410, 11477, 9323, 1012, 1996, 3558, 4761, 1997, 2023, 2828, 1997, 7663, 2140, 2344, 2003, 10009, 2004, 1037, 1521, 22866, 1521, 1997, 1996, 5164, 2344, 1012, 1999, 1996, 2556, 2147, 1010, 2057, 2582, 8849, 2023, 3291, 2005, 1996, 3572, 1002, 1055, 1028, 1015, 1002, 1012, 2057, 2424, 2025, 2069, 1996, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 2598, 2110, 2021, 2036, 1996, 10768, 18752, 2863, 10177, 4588, 2598, 2163, 2007, 24110, 23355, 1998, 4895, 16211, 16778, 5422, 17630, 16853, 3989, 2005, 7783, 3997, 1997, 1002, 1040, 1002, 1011, 11477, 9323, 1012, 2122, 24110, 3775, 4143, 3064, 5300, 1997, 16853, 3989, 2036, 13225, 1996, 9808, 4048, 13069, 1011, 8038, 24805, 2912, 1011, 21358, 21031, 3600, 4650, 1031, 1030, 1051, 3148, 1033, 2092, 1011, 2124, 2005, 1996, 16853, 3989, 9814, 1999, 1996, 8060, 2492, 1012, 2023, 3259, 2003, 4114, 2004, 4076, 1012, 1999, 1996, 2279, 2930, 1010, 1996, 2944, 5226, 2937, 2003, 3591, 1998, 1996, 2048, 2825, 12411, 16843, 2015, 2029, 5260, 2000, 2367, 2598, 2163, 2024, 4541, 1012, 1999, 1073, 1017, 1010, 1996, 15973, 3463, 2005, 1996, 17630, 16853, 3989, 1998, 1996, 2334, 6714, 6337, 2024, 3591, 2000, 7487, 1996, 3558, 3267, 1997, 2169, 2110, 1012, 1996, 2197, 2930, 2003, 7422, 2000, 12654, 1998, 6594, 1012, 2944, 5226, 2937, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2057, 8556, 1996, 2598, 2110, 1997, 1996, 2002, 28992, 4059, 8859, 2007, 15122, 2309, 2609, 2019, 19565, 13181, 7685, 3005, 5226, 2937, 2003, 2445, 2011, 1010, 1002, 1002, 1032, 4088, 1063, 13115, 1065, 1032, 3830, 1063, 10654, 2692, 1065, 1063, 1032, 10250, 1044, 1065, 1004, 1027, 1004, 1032, 7680, 1035, 1063, 1048, 1027, 1015, 1065, 1034, 1063, 1050, 1065, 1046, 1032, 1058, 1063, 1055, 1065, 1035, 1063, 1048, 1065, 1032, 1058, 1063, 1055, 1065, 1035, 1063, 1048, 1009, 1015, 1065, 1009, 1032, 7160, 1040, 1032, 7680, 1035, 1063, 1048, 1027, 1015, 1065, 1034, 1063, 1050, 1013, 1016, 1065, 1055, 1035, 1063, 1016, 2140, 1011, 1015, 1065, 1034, 1063, 1062, 2475, 1065, 1032, 2512, 29440, 1032, 1032, 1004, 1011, 1004, 1032, 7160, 1040, 1032, 7680, 1035, 1063, 1048, 1027, 1015, 1065, 1034, 1063, 1050, 1013, 1016, 1065, 1055, 1035, 1063, 1016, 2140, 1065, 1034, 1063, 1062, 2475, 1065, 1010, 1032, 1032, 1006, 1046, 1028, 1014, 1010, 1032, 7160, 1040, 1028, 1014, 1007, 1012, 1032, 2203, 1063, 13115, 1065, 1002, 1002, 2073, 1002, 1032, 1058, 1063, 1055, 1035, 1063, 1045, 1065, 1065, 1002, 2003, 1996, 6714, 1011, 1002, 1055, 1002, 6872, 2006, 1996, 1002, 1045, 1002, 1011, 16215, 2609, 1012, 1999, 25416, 1012, 1010, 2009, 2003, 2179, 2008, 1996, 2558, 11515, 7663, 2140, 4403, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 3252, 2003, 3651, 2005, 2312, 2438, 1002, 1032, 7160, 1040, 1002, 2005, 1002, 1055, 1027, 1015, 1002, 1010, 2348, 1996, 11085, 7847, 2063, 4403, 2003, 6540, 2005, 2235, 1002, 1032, 7160, 1040, 1002, 1012, 1996, 7337, 2000, 27790, 2023, 2558, 11515, 7663, 2140, 4403, 2064, 2022, 5319, 2247, 1996, 2206, 12411, 16843, 1006, 12411, 16843, 1045, 1007, 1012, 1999, 1996, 6438, 1997, 1996, 1002, 1040, 1002, 1011, 3408, 1010, 1996, 1002, 1055, 1027, 1015, 1002, 2598, 2110, 2038, 1037, 5023, 5164, 2344, 2029, 12748, 2008, 1996, 23371, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 2024, 5412, 3424, 7512, 21716, 25440, 25084, 2065, 1996, 4573, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 2024, 16791, 1012, 1031, 1030, 9108, 1025, 1030, 1044, 2102, 1033, 1996, 2597, 1997, 1996, 4573, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1998, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 6118, 19857, 6593, 20598, 8559, 27846, 1998, 2023, 3424, 7512, 21716, 25440, 4588, 2344, 3464, 5023, 2138, 2009, 2003, 5263, 2000, 11949, 1996, 16902, 2090, 2069, 1996, 4573, 2007, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 6388, 2135, 1012, 1999, 1996, 3739, 1997, 2844, 1002, 1032, 7160, 1040, 1002, 1011, 3408, 1010, 2069, 1996, 2163, 8335, 2007, 1996, 27142, 2275, 2011, 2122, 1002, 1032, 7160, 1040, 1002, 1011, 3408, 5788, 2426, 2035, 2163, 2007, 5023, 2344, 1012, 2005, 1002, 1032, 7160, 1040, 1028, 1028, 1046, 1002, 1010, 1996, 5976, 1011, 16215, 2609, 2442, 2022, 1999, 1996, 2110, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1998, 1996, 2130, 1011, 16215, 4573, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 7610, 1015, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1012, 2000, 2022, 11892, 2007, 1996, 5164, 2344, 1010, 23371, 2442, 2022, 5412, 2004, 1002, 1063, 1032, 2187, 1032, 2310, 5339, 1063, 1032, 2039, 2906, 10524, 1014, 1032, 2091, 2906, 10524, 1014, 1065, 1032, 2157, 1032, 8369, 2571, 1065, 1002, 1012, 2947, 1996, 2844, 1002, 1032, 7160, 1040, 1002, 1011, 2744, 2064, 7276, 1996, 6714, 2163, 2426, 2216, 2007, 5023, 2344, 2000, 5382, 1996, 13216, 2558, 11515, 7663, 2140, 2344, 1012, 2006, 1996, 2060, 2192, 1010, 2178, 12411, 16843, 1006, 12411, 16843, 2462, 1007, 2003, 2825, 2013, 4556, 2391, 1997, 3193, 1010, 2348, 2023, 2003, 2025, 3651, 1999, 1996, 1002, 1055, 1027, 1015, 1002, 2553, 1012, 2292, 2149, 5136, 1996, 4556, 5787, 2073, 2169, 6714, 2064, 2022, 5240, 2004, 1037, 4556, 3131, 9207, 1012, 1999, 1996, 2598, 2110, 1010, 1996, 23371, 2006, 1996, 3733, 8123, 4573, 2024, 3929, 11508, 3550, 2247, 1002, 1062, 1002, 1011, 3257, 2021, 2216, 2006, 1996, 3733, 1011, 4946, 4573, 2024, 9939, 2011, 2019, 6466, 1002, 1032, 23963, 1027, 1032, 2522, 2015, 1034, 1063, 1011, 1015, 1065, 1006, 1046, 1013, 1032, 7160, 1040, 1007, 1002, 2013, 1996, 1002, 1011, 1062, 1002, 1011, 3257, 2004, 3491, 1999, 20965, 1012, 1032, 1031, 23465, 2378, 1032, 1033, 1012, 3568, 2023, 12411, 16843, 5260, 2000, 1996, 2512, 26895, 3170, 2906, 10768, 18752, 2863, 10177, 4588, 2598, 2110, 2007, 1996, 11867, 12162, 7231, 18674, 16853, 3989, 1002, 1049, 1027, 1049, 1035, 1063, 1032, 28549, 1055, 1065, 1006, 1015, 1011, 1006, 1046, 1013, 1032, 7160, 1040, 1007, 1007, 1013, 1016, 1002, 2004, 27347, 1999, 20965, 1012, 1032, 1031, 18856, 3022, 2863, 2290, 1032, 1033, 1012, 999, 1031, 1996, 4556, 6714, 9563, 1999, 1996, 10768, 18752, 2863, 10177, 4588, 2110, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 23465, 2378, 1000, 1065, 1033, 1006, 20965, 2487, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 2382, 7382, 1000, 1065, 999, 1031, 1996, 17630, 16853, 3989, 1999, 1996, 4556, 5787, 1012, 2182, 1998, 1999, 1996, 2206, 4481, 2943, 4094, 2003, 2275, 2004, 1002, 1046, 1027, 1015, 1002, 1012, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 18856, 3022, 2863, 2290, 1000, 1065, 1033, 1006, 20965, 2475, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 3963, 7382, 1000, 1065, 1999, 2054, 4076, 1010, 2057, 2265, 2008, 2593, 1997, 2122, 2048, 12411, 16843, 2015, 2064, 2022, 3651, 1999, 1002, 1055, 1028, 1015, 1002, 8859, 5834, 2006, 1996, 5300, 1997, 1002, 1032, 7160, 1040, 1002, 1998, 1002, 1055, 1002, 2241, 2006, 1996, 15973, 6635, 19754, 10993, 3508, 1006, 12311, 1007, 1998, 4304, 8185, 17738, 17830, 22731, 2177, 1006, 1040, 2213, 10623, 1007, 17208, 1012, 15973, 3463, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 17630, 16853, 3989, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2000, 6709, 1996, 10768, 18752, 2863, 10177, 4588, 6939, 3517, 1999, 12411, 16843, 2462, 1010, 1996, 2598, 2110, 17630, 16853, 3989, 2003, 10174, 2011, 12311, 2007, 15861, 6192, 4650, 1998, 2011, 1040, 2213, 10623, 2007, 2330, 6192, 4650, 2005, 2536, 5300, 1997, 1002, 1055, 1002, 1998, 1002, 1032, 7160, 1040, 1002, 1012, 1996, 4555, 4677, 3091, 2005, 1996, 12311, 2003, 1002, 1050, 1027, 2260, 1002, 2005, 1002, 1055, 1027, 1017, 1013, 1016, 1002, 1010, 1002, 1055, 1027, 1016, 1002, 1998, 1002, 1055, 1027, 1019, 1013, 1016, 1002, 1010, 2096, 2009, 2003, 1002, 1050, 1027, 1022, 1002, 2005, 1002, 1055, 1027, 1017, 1002, 1012, 2005, 1996, 1040, 2213, 10623, 17208, 2007, 2330, 6192, 4650, 1010, 6413, 2203, 23371, 2024, 2794, 2000, 5547, 1996, 6192, 3896, 1012, 999, 1031, 1996, 17630, 16853, 3989, 2005, 1006, 1037, 1007, 1002, 1055, 1027, 1016, 1002, 2007, 1002, 1050, 1027, 2260, 1002, 1006, 12311, 1007, 1998, 1002, 1050, 1027, 4185, 1002, 1006, 1040, 2213, 10623, 1007, 1010, 1998, 1006, 1038, 1007, 1002, 1055, 1027, 1017, 1002, 2007, 1002, 1050, 1027, 1022, 1002, 1006, 12311, 1007, 1998, 1002, 1050, 1027, 3590, 1002, 1006, 1040, 2213, 10623, 1007, 27347, 2114, 1002, 1032, 7160, 1040, 1002, 1012, 1996, 20384, 3210, 2024, 1996, 4556, 17630, 16853, 3989, 1012, 1031, 1033, 1063, 2951, 1011, 3830, 1027, 1000, 17454, 8159, 1000, 1065, 1033, 1006, 20965, 2509, 1012, 20383, 1007, 1063, 9381, 1027, 1000, 3963, 7382, 1000, 1065, 999, 1031, 1996, 17630, 16853, 3989, 2005, 1006, 1037, 1007, 1002, 1055, 1027, 1017, 1013, 1016, 1002, 2007, 1002, 1050, 1027, 2260, 1002, 1006, 12311, 1007, 1998, 1002, 1050, 1027, 4185, 1002, 1006, 1040, 2213, 10623, 1007, 1998, 1006, 1038, 1007, 1002, 1055, 1027, 1019, 1013, 1016, 1002, 2007, 1002, 1050 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 6486, 2620, 1042, 1012, 14134, 24406, 5297, 1004, 1051, 1005, 18820, 1010, 4297, 1012, 1010, 1037, 3840, 1010, 20579, 1011, 10439, 24178, 1010, 2892, 1011, 10439, 14774, 2063, 1010, 1998, 7849, 23943, 4859, 19844, 2194, 1010, 1037, 3840, 1010, 26623, 24759, 22325, 13355, 1010, 13474, 2006, 4675, 25154, 2015, 1010, 2892, 1011, 10439, 14774, 2063, 1010, 1998, 10760, 7855, 8203, 2166, 5427, 2194, 1010, 9353, 2953, 17822, 3370, 1010, 26623, 20579, 1010, 13474, 2006, 3597, 16671, 2121, 25154, 2015, 1998, 2353, 1011, 2283, 24759, 22325, 13355, 1011, 10439, 24178, 1010, 2892, 1011, 10439, 14774, 2063, 1010, 1058, 1012, 12712, 12006, 2075, 1010, 4297, 1012, 1010, 1037, 3840, 1998, 2726, 1049, 1012, 12712, 1010, 16362, 1011, 10439, 14774, 2229, 1010, 2892, 1011, 10439, 24178, 2015, 1012, 16839, 1012, 6070, 1011, 5539, 2683, 1010, 6070, 1011, 20637, 2620, 1998, 6070, 1011, 20637, 2683, 1012, 2142, 2163, 2457, 1997, 9023, 1010, 5066, 4984, 1012, 5275, 13292, 1012, 1017, 1010, 2960, 1012, 2787, 13114, 1012, 2410, 1010, 2901, 1012, 2004, 13266, 13114, 1012, 2321, 1010, 2901, 1012, 2128, 26560, 2075, 6380, 2233, 2321, 1010, 2901, 1012, 2077, 17838, 1010, 2708, 3648, 1010, 13109, 4887, 2213, 1998, 22827, 2638, 1010, 4984, 6794, 1012, 13109, 4887, 2213, 1010, 4984, 3648, 1012, 1015, 2023, 8906, 2553, 5936, 1037, 3206, 2090, 5297, 1004, 1051, 1005, 18820, 1006, 1037, 1004, 1051, 1007, 1998, 12712, 12006, 2075, 1006, 12712, 1007, 2005, 1996, 12451, 1997, 1037, 2311, 3079, 2011, 7855, 8203, 2166, 5427, 1006, 13221, 2140, 1007, 1012, 2044, 1037, 2416, 2733, 3979, 1010, 1996, 6467, 3843, 1037, 2569, 14392, 4531, 2008, 1037, 1004, 1051, 2018, 3308, 7699, 12527, 1996, 3206, 1998, 2008, 13221, 2140, 2018, 17153, 20771, 2135, 28976, 2007, 1996, 3206, 1012, 1996, 2212, 2457, 4379, 13221, 2140, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2006, 1996, 17153, 2102, 4366, 1012, 1996, 4054, 3277, 1999, 2023, 2553, 7336, 1996, 5372, 5468, 2005, 3206, 12394, 2104, 5273, 2375, 1012, 1999, 2804, 1010, 1996, 4243, 5574, 1996, 2212, 2457, 6567, 4953, 17153, 20771, 11099, 2007, 3206, 1010, 15201, 9714, 1010, 26136, 13043, 12394, 1010, 7909, 1997, 5366, 1010, 4905, 1005, 1055, 9883, 1010, 1998, 3653, 9103, 2094, 21693, 4765, 3037, 2005, 2119, 3206, 12394, 1998, 7584, 12394, 1012, 2005, 1996, 4436, 3090, 2917, 1010, 2057, 21358, 27972, 3272, 2007, 4847, 2000, 1996, 3653, 9103, 2094, 21693, 4765, 3037, 2006, 1996, 3206, 12394, 1012, 8866, 1998, 8931, 2917, 1016, 13221, 2140, 5086, 1037, 1004, 1051, 1010, 1037, 12590, 3079, 7506, 1997, 13221, 2140, 1010, 2000, 2552, 2004, 2049, 2236, 13666, 2005, 1996, 10525, 1997, 13221, 2140, 1005, 1055, 5116, 9184, 2436, 1012, 2004, 2112, 1997, 1996, 10525, 1010, 1037, 1004, 1051, 14017, 28775, 3064, 20723, 2005, 1996, 12451, 1997, 2112, 1997, 1996, 2436, 1010, 3228, 7562, 1997, 1996, 2311, 1998, 4352, 4022, 7226, 13375, 2000, 11628, 1996, 2311, 1005, 1055, 2630, 1011, 11204, 1012, 12712, 7864, 1037, 7226, 1997, 1002, 5354, 2629, 1010, 2199, 1010, 3621, 2917, 2049, 11436, 3465, 1997, 12451, 2006, 1996, 3978, 2008, 2009, 2071, 3104, 2049, 5366, 2083, 5096, 1997, 1996, 18340, 1012, 12712, 1005, 1055, 7226, 2001, 6022, 2917, 2060, 20723, 1010, 2061, 1037, 1004, 1051, 1998, 12712, 3133, 2046, 1037, 12451, 3206, 1012, 1015, 1017, 1996, 3206, 2170, 2005, 12451, 2147, 2000, 4088, 1999, 2089, 1997, 3245, 1998, 2000, 3926, 1999, 2244, 3245, 1012, 13221, 2140, 2106, 2025, 1010, 2174, 1010, 12436, 16280, 1996, 2311, 2127, 3054, 1011, 2000, 1011, 2397, 2257, 1998, 2440, 4094, 12451, 2106, 2025, 4088, 2127, 2257, 2676, 1010, 3245, 1010, 2012, 2029, 2051, 12712, 7864, 1037, 2176, 3204, 6503, 6134, 1012, 1018, 2471, 3202, 2588, 20561, 1997, 1996, 12451, 1010, 12712, 2211, 2000, 8087, 14477, 16778, 6895, 17585, 2094, 3785, 2029, 3303, 14350, 1012, 2122, 3785, 2443, 1037, 11632, 2008, 2001, 3833, 1997, 3886, 1010, 5509, 1998, 6967, 1010, 1998, 3082, 8332, 13110, 2881, 2000, 2490, 2809, 3176, 3441, 1012, 10821, 4953, 11664, 6497, 1010, 5005, 1010, 1998, 22755, 3303, 1037, 1004, 1051, 2000, 16021, 18300, 12712, 2000, 12666, 8853, 2000, 5547, 2122, 3785, 2029, 9784, 1996, 12451, 2832, 2582, 1012, 1019, 1996, 14350, 3724, 1996, 6503, 3058, 2582, 1998, 2582, 2067, 1010, 2127, 12712, 2633, 7864, 1037, 6134, 2008, 2170, 2005, 6503, 1999, 2251, 3150, 1012, 2776, 1010, 4557, 11262, 1010, 2343, 1997, 13221, 2140, 1010, 5228, 2010, 5142, 2058, 1996, 14350, 2000, 1037, 1004, 1051, 1010, 1998, 2006, 2089, 1023, 1010, 3150, 1010, 1037, 1004, 1051, 12527, 1996, 3206, 1012, 1020, 1037, 1004, 1051, 13364, 12923, 12712, 1998, 2110, 2469, 3723, 1006, 12712, 1005, 1055, 19882, 2194, 1007, 2005, 12510, 1997, 3206, 1012, 2009, 2036, 2315, 1010, 1999, 2010, 3265, 3977, 1010, 2726, 12712, 1010, 2343, 1997, 12712, 12006, 2075, 1010, 2004, 1037, 13474, 1012, 12712, 4675, 25154, 2098, 2005, 12510, 1997, 3206, 1012, 2037, 7593, 6401, 2105, 2029, 2283, 2001, 3625, 2005, 1996, 14350, 1998, 2040, 2323, 4562, 1996, 3176, 5366, 1997, 12451, 3303, 2011, 1996, 14350, 1998, 1996, 4745, 3431, 1999, 7709, 1012, 1996, 3206, 2001, 1037, 4964, 1011, 3976, 3206, 1998, 2170, 2005, 5337, 2517, 2689, 4449, 2005, 2151, 2689, 1999, 3976, 1012, 2130, 2061, 1010, 12712, 4447, 2008, 2009, 2003, 4709, 2000, 7909, 2005, 4469, 5366, 2138, 1996, 4243, 16301, 1996, 3206, 8910, 4214, 2005, 2517, 2689, 4449, 1012, 1021, 13221, 2140, 21116, 2004, 1997, 2157, 1999, 1996, 2895, 2138, 2009, 2001, 9280, 20090, 2004, 2019, 27427, 6633, 3490, 4263, 1997, 1037, 1004, 1051, 1012, 12712, 4675, 25154, 2098, 2114, 13221, 2140, 2005, 17153, 20771, 11099, 2007, 2449, 3206, 6550, 1010, 1998, 1006, 2247, 2007, 2726, 12712, 1007, 2691, 2375, 1998, 15201, 9714, 2000, 4053, 5891, 1010, 3119, 1998, 2449, 1012, 1022, 1996, 2212, 3648, 7219, 1996, 2691, 2375, 9714, 4447, 2006, 1037, 4367, 2005, 7704, 12654, 8689, 1012, 2206, 1037, 2416, 2733, 3979, 1010, 1996, 6467, 2513, 1037, 2569, 14392, 4531, 2008, 1037, 1004, 1051, 2018, 25769, 1996, 3206, 2011, 23552, 2009, 2302, 19777, 1012, 2027, 3018, 4012, 11837, 16846, 10253, 12394, 1997, 1002, 5594, 2475, 1010, 2199, 1012, 2027, 2582, 2179, 2008, 1037, 1004, 1051, 2018, 3308, 7699, 6025, 18340, 7495, 2000, 12712, 1999, 1996, 3815, 1997, 1002, 5786, 1010, 6535, 2620, 1012, 1999, 2804, 1010, 1996, 6467, 2179, 2008, 13221, 2140, 2018, 3308, 7699, 28976, 2007, 1996, 27948, 3276, 2090, 12712, 1998, 1037, 1004, 1051, 1010, 2007, 12394, 1997, 1002, 1015, 1010, 4278, 1010, 2199, 1012, 1023, 1996, 2212, 3648, 4379, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2006, 1996, 17153, 20771, 11099, 4366, 1010, 4531, 2008, 13221, 2140, 2001, 21598, 2000, 15115, 2007, 1996, 3206, 1998, 3568, 1996, 4366, 3478, 2004, 1037, 3043, 1997, 2375, 1012, 2002, 2036, 6380, 15323, 2011, 12712, 2005, 3653, 9103, 2094, 21693, 4765, 3037, 1998, 2005, 2110, 2469, 3723, 1005, 1055, 4905, 1005, 1055, 9883, 1012, 4106, 1015, 1012, 8824, 5609, 2184, 2077, 6195, 1996, 5372, 5468, 1997, 12394, 1010, 2057, 27764, 1997, 12712, 1005, 1055, 4675, 25154, 2015, 1012, 3272, 2005, 1996, 4366, 2005, 3653, 9103, 2094, 21693, 4765, 3037, 2006, 1996, 3206, 12394, 1010, 3904, 1997, 2122, 4447, 2038, 7857, 1998, 2057, 21358, 27972, 1996, 2212, 2457, 1012, 2340, 12712, 1005, 1055, 2034, 4366, 2003, 2008, 1996, 3648, 2323, 2025, 2031, 4379, 1037, 2856, 14392, 2000, 1996, 23953, 2021, 2323, 2031, 7864, 2049, 9714, 4366, 2000, 1996, 6467, 1012, 2057, 3319, 2023, 3247, 2139, 24576, 1012, 5271, 2063, 1058, 1012, 21025, 10322, 1010, 6356, 2487, 1042, 1012, 14134, 6486, 2575, 1006, 5504, 25022, 2099, 1012, 3118, 1007, 1012, 2260, 3322, 1010, 2057, 3602, 2008, 2212, 5434, 1010, 1999, 2236, 1010, 2323, 2022, 11542, 2000, 6366, 2019, 3277, 2013, 1996, 6467, 1012, 6600, 1010, 2073, 2045, 2003, 2025, 6937, 3350, 2000, 2490, 1996, 14392, 1010, 1037, 2856, 14392, 2030, 1010, 14084, 1010, 1037, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2003, 6413, 1012, 2156, 8909, 1012, 2012, 7706, 1025, 22209, 1058, 1012, 2221, 1997, 23624, 18790, 10085, 1010, 6584, 2475, 1042, 1012, 14134, 14378, 2475, 1010, 14378, 2629, 1006, 5504, 25022, 2099, 1012, 2960, 1007, 1025, 10184, 1058, 1012, 2670, 2737, 1010, 13710, 1057, 1012, 1055, 1012, 4700, 2575, 1010, 4185, 1055, 1012, 14931, 1012, 20666, 1010, 6070, 1048, 1012, 3968, 1012, 23688, 1006, 3826, 1007, 1012, 1000, 2035, 1996, 3350, 1010, 2579, 2004, 1037, 2878, 1010, 2442, 2022, 7021, 1999, 1996, 2422, 2087, 11119, 2000, 1996, 2512, 1011, 3048, 2283, 1012, 2023, 3350, 2442, 3073, 1037, 7182, 3978, 2013, 2029, 1996, 6467, 2071, 2031, 16286, 2584, 1037, 14392, 2302, 12143, 2030, 5059, 29205, 28937, 2015, 2029, 4736, 2007, 1996, 6151, 2483, 29462, 8866, 1012, 1000, 5271, 2063, 1010, 6356, 2487, 1042, 1012, 14134, 2012, 7706, 1012, 1037, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2003, 6413, 2069, 2065, 2023, 2003, 2025, 1996, 2553, 1012, 2410, 12712, 1005, 1055, 9714, 4366, 2003, 2241, 2006, 1037, 2942, 3426, 1997, 2895, 4315, 14966, 2013, 1037, 4735, 9714, 11671, 1012, 15536, 2015, 1012, 28093, 1012, 10819, 1012, 15170, 1012, 5890, 1025, 10958, 20041, 1058, 1012, 29454, 2140, 1010, 6356, 15536, 2015, 1012, 14134, 23688, 1010, 22376, 1050, 1012, 1059, 1012, 14134, 2753, 2581, 1010, 4868, 2487, 1006, 3299, 1007, 1012, 2000, 5323, 2023, 4366, 1010, 12712, 2734, 2000, 6011, 2008, 13221, 2140, 9530, 13102, 27559, 2030, 6051, 1999, 4164, 2007, 2012, 2560, 2028, 2060, 3265, 2030, 9178, 2000, 2097, 7699, 1999, 25243, 12712, 1006, 2030, 2726, 12712, 1007, 1999, 2037, 5891, 2015, 2030, 5661, 1998, 2008, 4544, 4504, 1012, 8909, 1012, 2403, 12712, 1005, 1055, 6947, 16803, 4498, 2006, 25022, 11890, 18163, 5794, 20925, 3350, 2029, 2003, 7182, 2000, 6011, 1037, 4366, 1997, 9714, 1010, 21395, 1058, 1012, 17752, 2884, 1010, 18225, 15536, 2015, 1012, 5354, 1010, 12862, 1050, 1012, 1059, 1012, 6275, 2620, 1010, 6275, 2683, 1011, 3938, 1006, 4444, 1007, 1010, 2021, 2009, 2003, 9352, 15863, 2084, 3622, 3350, 1012, 1999, 5273, 1010, 2065, 25022, 11890, 18163, 5794, 20925, 3350, 6753, 5020, 28937, 2015, 1997, 26410, 2895, 1998, 22300, 2895, 1010, 2059, 1996, 4366, 1997, 9714, 2003, 2025, 10003, 1012, 2156, 8040, 26036, 2102, 1058, 1012, 17971, 1010, 24568, 15536, 2015, 1012, 19492, 1010, 18561, 1010, 2538, 1050, 1012, 1059, 1012, 14134, 24368, 1006, 3918, 1007, 1012, 2057, 2903, 2008, 2012, 2190, 2023, 2003, 1996, 2553, 2182, 1012, 2321, 12712, 1005, 1055, 4366, 16803, 2006, 7687, 2028, 3538, 1997, 3350, 1024, 1996, 18287, 1997, 12712, 2013, 2048, 2981, 12451, 8311, 1006, 1996, 1037, 1004, 1051, 3206, 1010, 1998, 1037, 3206, 2007, 9184, 1007, 2012, 2055, 1996, 2168, 2051, 1012, 12712, 4447, 2008, 2023, 5866, 25652, 10943, 2015, 2019, 28937, 1997, 4164, 2098, 2895, 1012, 2023, 3350, 2894, 1010, 2174, 1010, 2003, 2025, 7182, 2000, 2265, 2008, 1996, 9530, 13102, 7895, 6591, 6051, 2007, 1996, 3563, 1010, 24391, 3800, 1997, 22736, 1996, 20579, 1012, 2156, 10958, 20041, 1010, 6356, 15536, 2015, 1012, 14134, 2012, 22376, 1010, 22376, 1050, 1012, 1059, 1012, 14134, 2753, 2581, 1012, 1996, 12451, 3206, 2007, 9184, 2001, 2369, 6134, 1998, 1996, 3350, 3065, 2008, 9184, 2018, 2981, 4436, 2005, 23552, 2049, 3206, 2007, 12712, 1012, 1998, 2130, 2065, 9184, 6051, 24391, 2135, 1010, 2053, 3350, 2001, 3253, 2000, 2490, 1037, 4531, 1997, 3287, 6767, 22717, 2011, 13221, 2140, 1012, 2057, 2424, 1010, 1999, 3820, 2007, 1996, 2212, 2457, 1010, 2008, 1996, 3350, 1997, 1037, 9714, 11896, 2004, 1037, 3043, 1997, 2375, 1012, 1016, 2385, 12712, 1005, 1055, 2279, 4366, 2003, 2008, 1996, 2212, 3648, 9413, 5596, 1999, 15080, 8689, 1050, 1012, 1051, 1012, 1058, 1012, 2006, 1996, 4366, 2008, 13221, 2140, 17153, 20771, 2135, 28976, 2007, 1996, 12451, 3206, 2090, 1037, 1004, 1051, 1998, 12712, 1012, 5273, 14600, 1037, 3426, 1997, 2895, 2114, 2028, 2040, 1010, 2302, 14293, 2000, 2079, 2061, 1010, 19653, 2015, 1037, 2353, 2711, 2025, 2000, 4685, 1037, 3206, 2007, 2178, 1012, 7386, 2319, 1058, 1012, 13488, 10969, 1010, 12567, 15536, 2015, 1012, 14134, 4008, 2620, 1010, 29386, 1050, 1012, 1059, 1012, 14134, 5187, 2575, 1006, 14931, 1012, 10439, 1012, 3118, 1007, 1012, 1996, 5273, 5434, 2031, 4233, 1996, 2717, 3686, 3672, 1006, 2117, 1007, 1997, 17153, 3215, 2006, 17153, 20771, 11099, 2007, 8311, 1012, 4682, 4783, 1058, 1012, 2103, 5446, 2194, 1010, 5818, 15536, 2015, 1012, 14134, 2184, 1010, 2321, 1011, 2385, 1010, 21679, 1050, 1012, 1059, 1012, 14134, 2385, 1006, 14931, 1012, 10439, 1012, 3150, 1007, 1025, 2717, 3686, 3672, 1006, 2117, 1007, 1997, 17153, 3215, 10819, 2015, 1012, 6146, 2575, 1010, 6146, 2581, 1006, 3245, 1007, 1012, 2930, 6146, 2683, 1997, 1996, 2717, 3686, 3672, 15841, 1996, 3663, 2073, 1996, 3364, 2038, 1037, 3361 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2035, 11888, 11290, 7870, 3251, 1997, 11704, 1010, 7403, 1010, 8285, 5714, 23041, 2063, 2030, 16514, 4761, 13595, 5171, 2010, 3406, 9966, 3431, 2008, 4821, 2599, 2000, 10882, 12618, 6190, 1013, 25022, 12171, 25229, 1010, 1998, 1996, 9987, 19806, 1997, 8185, 1012, 11290, 25022, 12171, 25229, 2064, 5901, 21933, 8737, 6132, 3686, 1998, 2038, 1037, 2152, 13356, 3446, 1012, 5022, 2007, 25022, 12171, 25229, 9015, 2013, 1037, 16922, 2002, 24952, 2278, 3977, 2000, 18804, 14956, 4697, 1998, 24203, 2229, 4697, 8171, 1010, 25117, 2015, 1998, 20752, 1012, 1999, 2804, 1010, 14967, 1997, 10882, 12618, 6190, 1998, 19723, 24454, 5844, 7293, 16308, 3426, 2019, 3445, 21449, 13809, 3540, 10175, 5012, 2007, 9445, 23760, 29048, 1998, 2019, 3445, 2002, 24952, 2278, 2310, 18674, 3778, 17978, 1006, 1044, 2615, 26952, 1007, 1997, 1032, 1028, 2184, 3461, 1044, 2290, 1012, 9445, 23760, 29048, 2633, 5260, 2000, 2004, 17847, 2015, 1010, 1998, 21449, 24172, 2015, 2097, 4503, 2107, 2004, 9686, 7361, 3270, 3351, 2389, 13075, 23522, 1012, 2087, 5022, 6114, 2013, 25022, 12171, 25229, 2776, 3280, 2013, 12763, 2107, 2004, 17630, 17341, 2566, 9956, 3490, 7315, 1010, 13075, 6610, 2389, 9524, 1010, 11290, 4945, 2030, 2002, 4502, 3406, 16882, 2482, 21081, 2863, 1006, 16731, 2278, 1007, 1012, 2926, 29258, 11290, 25022, 12171, 25229, 2302, 6612, 5751, 2107, 2004, 6804, 11265, 5737, 1010, 4372, 3401, 21890, 4135, 20166, 1010, 25891, 21608, 1010, 2030, 2004, 17847, 2015, 2003, 3697, 2000, 22939, 26745, 3366, 1012, 2107, 5022, 4050, 2079, 2025, 2265, 3563, 8030, 1012, 2023, 2003, 2036, 2028, 2590, 3114, 2339, 2053, 9398, 1998, 10539, 20272, 2951, 2024, 2800, 2005, 25022, 12171, 25229, 2005, 2116, 3032, 1010, 2348, 25022, 12171, 25229, 2003, 1037, 2350, 13356, 3426, 1999, 2764, 3032, 2012, 1996, 2287, 1997, 2871, 1011, 1011, 3438, 2086, 1012, 2116, 5461, 2031, 2042, 10641, 1999, 1996, 2197, 5109, 2000, 3499, 2019, 2220, 1998, 10539, 11616, 1997, 25022, 12171, 25229, 1006, 2156, 1031, 3275, 1015, 1033, 1006, 1001, 20069, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2122, 2421, 2119, 17503, 2021, 2036, 2512, 2378, 12044, 3512, 8107, 1012, 11290, 16012, 18075, 2003, 2145, 2641, 1996, 2751, 3115, 2005, 20077, 2002, 24952, 2278, 25022, 12171, 25229, 1012, 2174, 1010, 2009, 2003, 2019, 17503, 7709, 1010, 2007, 4678, 2021, 9280, 2166, 1011, 8701, 12763, 1012, 1031, 1030, 29491, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 1999, 2804, 1010, 1996, 10640, 1997, 11290, 16012, 18075, 1999, 20077, 10882, 12618, 6190, 2003, 3132, 11427, 2000, 16227, 7561, 1006, 4285, 2039, 2000, 2382, 1003, 1007, 1998, 6970, 16429, 8043, 6299, 28436, 1012, 1031, 1030, 1038, 2475, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 1011, 1011, 1031, 1030, 1038, 2575, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 2060, 17503, 8853, 2107, 2004, 5001, 10464, 9363, 7685, 1998, 2203, 2891, 3597, 7685, 2024, 2025, 2200, 7591, 1012, 10655, 1010, 7511, 12126, 5461, 2107, 2004, 27312, 1010, 8060, 17011, 12126, 1006, 27011, 1007, 1998, 3274, 3419, 9888, 1006, 14931, 1007, 2024, 2512, 2378, 12044, 3512, 2021, 7619, 5751, 1997, 25022, 12171, 25229, 2107, 2004, 24172, 2015, 2030, 7293, 7934, 7814, 1997, 1996, 11290, 3302, 2024, 3223, 1010, 14259, 2122, 4725, 2738, 16021, 6132, 13043, 1012, 2116, 4073, 2031, 2042, 11241, 2000, 6709, 20194, 16387, 2008, 3499, 1996, 11616, 1997, 25022, 12171, 25229, 2013, 1037, 3722, 2668, 3231, 1012, 1031, 1030, 1038, 2581, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 6854, 1010, 2348, 16387, 2107, 2004, 20194, 8902, 20679, 2078, 2030, 1044, 21095, 21017, 8339, 11268, 12322, 22991, 2594, 4023, 1010, 2027, 2079, 2025, 2522, 14343, 13806, 2007, 1996, 7619, 3815, 1997, 8185, 14140, 1999, 1996, 11290, 1012, 11290, 25022, 12171, 25229, 2566, 7367, 5320, 1037, 5171, 27427, 18924, 1997, 1996, 11290, 2008, 2003, 2823, 4415, 14412, 4502, 3468, 1012, 1999, 2755, 1010, 14412, 24952, 2239, 1997, 1996, 11290, 2038, 2042, 2109, 2011, 11572, 2005, 4693, 2004, 1996, 2069, 9398, 19475, 3231, 2000, 22939, 26745, 3366, 25022, 12171, 25229, 1012, 2947, 1010, 2009, 2038, 2042, 1037, 3160, 1997, 2051, 2000, 4503, 12138, 3558, 4725, 2000, 5621, 24110, 27351, 11290, 10551, 2791, 1006, 1048, 2015, 1007, 1012, 1996, 2034, 2107, 3921, 2038, 2042, 5147, 3107, 2011, 5472, 6657, 1998, 11190, 2953, 11451, 1999, 2494, 1012, 1031, 1030, 1038, 2620, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 5564, 1010, 2116, 2913, 2006, 11888, 11290, 7870, 2031, 10003, 2008, 10903, 1997, 1048, 2015, 2003, 1037, 5915, 1998, 6581, 11326, 3231, 2005, 11290, 25022, 12171, 25229, 1012, 4522, 8107, 2024, 2747, 10641, 2593, 2241, 2006, 6637, 27312, 2030, 27011, 4725, 1010, 1998, 1996, 2925, 2097, 2265, 2029, 6028, 2097, 3653, 3567, 4014, 1999, 2029, 6612, 4292, 1012, 2006, 1996, 2060, 2192, 1010, 1048, 2015, 2038, 2042, 3107, 2000, 1996, 2492, 1997, 2002, 4502, 23479, 2004, 1037, 3117, 7863, 3558, 16381, 2008, 2064, 2022, 2628, 2039, 2004, 4102, 2000, 1010, 2005, 2742, 1010, 4860, 1012, 2066, 2303, 4860, 1010, 2057, 2031, 20215, 1999, 1037, 2738, 2460, 2051, 2008, 1048, 2015, 2003, 2025, 2069, 4340, 2011, 1996, 3014, 1997, 10882, 12618, 6190, 2021, 2036, 2060, 6612, 10906, 2107, 2004, 21733, 1010, 16480, 4244, 10230, 2483, 1998, 11290, 20176, 2015, 1012, 2023, 3319, 1010, 3568, 1010, 2003, 2881, 2000, 4780, 10651, 1996, 8068, 2006, 1996, 2556, 3716, 1997, 1048, 2015, 1012, 2044, 2019, 19184, 2055, 4087, 5919, 1998, 4522, 4725, 1010, 3937, 3785, 2024, 6936, 2008, 3747, 1048, 2015, 1012, 13792, 2024, 3591, 2006, 2129, 2000, 2224, 1048, 2015, 5300, 1999, 6612, 6078, 1010, 2000, 5136, 6770, 28067, 1012, 1999, 2804, 1010, 1996, 3117, 3778, 1011, 1011, 10551, 2791, 1011, 1011, 10882, 12618, 6190, 5537, 10744, 2003, 3107, 1998, 4780, 6936, 2008, 2071, 23216, 1996, 11806, 3945, 2000, 6709, 1996, 8382, 10595, 10318, 11290, 10882, 12618, 6190, 1012, 2633, 1010, 2330, 1048, 2015, 1011, 3141, 3980, 2024, 4225, 2008, 2323, 2022, 8280, 2011, 2925, 6612, 1998, 3937, 2470, 2913, 1012, 4130, 7361, 10536, 20763, 6483, 1997, 11290, 10551, 2791, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 11290, 10551, 2791, 1011, 1011, 6210, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2183, 2083, 1996, 3399, 1997, 21274, 3012, 2003, 2521, 3458, 1996, 9531, 1997, 2023, 3319, 1012, 2174, 2070, 3937, 21951, 2024, 6179, 2000, 2488, 3305, 2054, 10551, 2791, 2965, 1012, 2013, 1037, 3558, 1998, 6228, 2391, 1997, 3193, 1010, 10551, 2791, 2064, 2022, 4225, 2004, 1996, 16913, 11627, 1997, 21274, 3012, 2030, 2402, 1005, 1055, 16913, 11627, 1006, 1041, 1007, 1012, 8103, 2063, 1005, 1055, 2375, 1997, 21274, 3012, 2003, 2019, 20167, 2008, 2163, 2008, 1996, 5331, 1997, 1037, 3430, 2003, 3495, 14267, 2000, 1996, 4162, 6911, 1010, 1173, 1027, 1041, 29275, 1010, 2073, 1173, 2003, 1996, 6911, 4162, 2000, 1996, 3430, 1010, 1998, 1115, 2003, 1996, 10178, 10572, 1999, 1996, 3430, 1012, 10551, 2791, 1006, 1041, 1007, 2003, 5228, 1999, 11382, 4135, 19707, 9289, 2015, 1006, 1047, 4502, 1007, 1998, 5836, 1996, 5012, 1997, 3430, 2000, 29130, 1012, 2096, 10551, 4475, 1010, 2107, 2004, 5509, 1010, 8327, 2659, 10178, 2130, 2012, 2152, 6911, 1010, 3730, 4475, 2107, 2004, 6897, 3730, 14095, 8327, 2312, 10178, 2130, 2012, 2659, 6911, 1012, 1048, 2015, 1010, 2066, 2151, 2060, 3730, 8153, 10551, 2791, 1010, 9041, 2006, 2116, 5876, 1012, 1996, 2034, 1998, 2364, 5387, 2003, 1996, 4469, 16882, 8185, 1997, 1996, 5812, 1012, 1996, 4469, 16882, 8185, 2003, 1037, 13366, 2953, 24088, 3252, 2008, 15210, 1996, 6327, 2749, 2083, 1996, 11290, 1012, 2009, 2064, 2022, 4102, 2000, 1996, 3192, 1997, 1037, 2311, 1012, 1037, 2117, 5387, 2003, 1996, 14679, 2008, 2024, 4162, 2006, 1996, 5812, 1012, 1996, 2062, 3778, 2008, 2003, 4162, 2000, 1996, 11290, 2012, 2049, 7372, 1010, 1996, 10551, 2121, 2009, 4152, 1012, 1037, 2353, 5387, 2003, 1996, 4722, 3778, 2503, 1996, 5812, 1011, 1011, 2065, 2668, 1010, 2030, 2178, 6381, 2003, 2746, 1999, 1998, 2041, 1010, 2059, 10551, 2791, 2097, 12530, 2006, 1996, 5012, 2008, 1996, 5812, 12033, 2000, 1996, 4834, 1012, 1037, 2959, 1998, 2590, 5387, 2003, 1996, 25292, 27199, 3896, 2029, 3747, 1996, 2051, 5377, 2058, 2029, 10551, 2791, 2003, 7718, 1012, 2023, 3466, 2003, 5799, 2000, 6075, 1010, 29464, 1010, 10551, 2791, 9041, 2006, 6075, 1012, 2096, 11290, 2003, 3730, 2012, 2200, 2659, 6075, 1006, 2006, 1996, 2344, 1997, 2195, 2014, 5753, 1007, 2029, 14788, 2000, 6410, 14412, 24952, 2239, 2051, 1011, 5377, 1010, 2009, 12102, 2000, 2022, 2172, 6211, 2012, 2152, 13139, 1006, 2058, 2195, 15295, 1997, 11382, 24729, 8743, 2480, 1007, 1012, 10903, 1997, 11290, 10551, 2791, 2478, 25354, 3449, 14083, 9888, 1006, 10882, 12618, 29378, 29656, 1007, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1996, 10882, 12618, 29378, 29656, 1006, 1042, 2015, 1007, 1006, 9052, 5054, 2015, 1010, 3000, 1010, 2605, 1007, 5080, 2003, 1996, 2034, 3449, 14083, 9888, 6028, 2764, 2000, 20155, 2135, 1998, 2512, 2378, 12044, 14547, 14358, 3730, 6897, 8153, 10551, 2791, 1008, 1999, 24269, 1008, 1012, 11290, 2001, 1037, 3019, 2034, 5812, 2000, 2817, 2349, 2000, 2049, 2946, 1998, 2738, 24004, 6914, 3560, 14902, 1012, 1031, 1030, 1038, 2620, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1033, 1999, 6958, 1010, 18330, 5975, 2024, 7013, 2083, 1996, 11290, 1998, 1048, 2015, 2003, 2139, 28901, 2013, 2037, 10146, 1012, 1042, 2015, 3594, 1996, 6028, 2170, 25354, 3449, 14083, 9888, 1006, 8915, 1007, 2030, 17880, 1011, 4758, 25354, 3449, 14083, 9888, 1006, 18315, 2618, 30108, 1007, 1012, 2009, 2003, 2241, 2006, 1996, 4758, 4245, 1997, 1037, 25354, 18330, 4400, 2478, 1037, 14262, 6767, 1011, 4758, 17880, 1997, 2124, 6075, 1998, 22261, 1012, 1048, 2015, 2003, 24806, 2013, 1996, 10146, 1997, 2122, 6228, 5975, 2478, 1996, 2206, 8522, 1024, 1041, 1027, 1017, 1171, 1058, 1055, 1016, 2073, 1041, 2003, 1996, 2402, 1005, 1055, 16913, 11627, 2030, 10551, 2791, 1010, 1171, 2003, 1996, 4304, 1010, 1998, 1058, 1008, 1066, 1055, 1066, 1008, 1996, 18330, 10146, 1012, 1996, 18330, 10146, 7594, 2011, 18315, 2618, 30108, 2003, 1037, 2177, 10146, 2105, 2753, 22100, 1012, 6263, 1998, 4555, 10551, 2791, 5300, 2008, 2064, 2022, 7594, 2011, 1042, 2015, 2024, 1015, 1012, 1019, 1047, 4502, 1998, 4293, 1012, 1014, 1047, 4502, 4414, 1012, 10892, 1010, 1042, 2015, 3774, 1999, 1037, 4056, 7654, 4132, 2008, 2950, 1037, 2309, 3149, 27312, 11698, 2392, 2203, 2000, 12495, 2102, 1998, 4374, 27312, 7755, 1010, 1998, 1037, 14262, 6767, 1011, 4758, 6819, 10024, 4263, 2005, 1996, 18330, 4400, 4245, 1012, 1996, 15113, 2993, 3397, 1037, 12138, 6819, 10024, 4263, 2006, 1996, 8123, 1997, 2029, 1037, 2309, 5783, 27312, 9099, 8566, 17119, 2003, 5614, 1012, 2004, 3491, 1999, 1031, 3275, 1016, 1033, 1006, 1001, 1042, 2475, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1010, 1996, 17880, 3774, 1997, 1037, 8254, 26658, 3593, 2558, 2007, 1037, 2415, 6075, 1997, 2753, 22100, 1012, 2049, 22261, 9041, 2006, 1996, 15113, 2944, 1024, 1016, 3461, 4672, 1011, 2000, 1011, 4672, 1006, 4903, 1007, 2007, 1996, 3115, 15113, 1006, 2944, 1049, 1007, 1010, 1015, 3461, 4903, 2007, 1996, 23614, 15113, 1006, 2944, 1055, 1007, 1010, 1998, 1017, 3461, 4903, 2007, 1996, 15578, 3366, 5022, 4056, 15113, 1006, 2944, 28712, 1007, 1012, 1996, 18330, 4400, 20594, 2003, 17785, 2478, 11087, 24333, 27312, 19530, 1012, 1999, 1996, 3115, 7749, 8853, 1010, 1048, 2015, 11702, 2478, 1042, 2015, 2024, 2864, 2006, 1996, 2157, 21833, 1997, 1996, 11290, 1999, 6970, 13186, 9080, 2597, 1006, 2156, 1031, 3275, 1017, 1033, 1006, 1001, 1042, 2509, 1011, 20287, 2121, 1011, 1016, 1011, 5840, 2683, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 20965, 1000, 1065, 1007, 1012, 2023, 16263, 3622, 13379, 1997, 1996, 11290, 2008, 2052, 2776, 7461, 1048, 2015, 5300, 1012, 1996, 5776, 2003, 4688, 2006, 2010, 2067 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1996, 6547, 1997, 1999, 18515, 18518, 2011, 15963, 1037, 1012, 7570, 24038, 2006, 2238, 2184, 1010, 2889, 1010, 1037, 3104, 2466, 2596, 1999, 2051, 2932, 2006, 1996, 8476, 1997, 4763, 1012, 1996, 3166, 1010, 9993, 19084, 1010, 2106, 2025, 7475, 2005, 1037, 3327, 9459, 1998, 2106, 2025, 3362, 2151, 15306, 1012, 2054, 2002, 2106, 1010, 2174, 1010, 2001, 1999, 1037, 3168, 2062, 2590, 1012, 2002, 2211, 2011, 5517, 2093, 14848, 2015, 1024, 2643, 2003, 2035, 1011, 3928, 1012, 2643, 2003, 2035, 1011, 2204, 1012, 6659, 2477, 4148, 1012, 8951, 2195, 4216, 1010, 19084, 2056, 2008, 2017, 2064, 2674, 2151, 2048, 1997, 2122, 14848, 2015, 1010, 2021, 2025, 2035, 2093, 1012, 2017, 2064, 13520, 2008, 2045, 2003, 2019, 2035, 1011, 3928, 2643, 2040, 4473, 6659, 2477, 2000, 4148, 1010, 2021, 2023, 2643, 2071, 2025, 2022, 2035, 1011, 2204, 1012, 2006, 1996, 2060, 2192, 1010, 2045, 2453, 2022, 2019, 2035, 1011, 2204, 2643, 2040, 11082, 6659, 2477, 4148, 2138, 2002, 2515, 2025, 2031, 1996, 2373, 2000, 2644, 2068, 1025, 2947, 2002, 2003, 2025, 2035, 1011, 3928, 1012, 2023, 4106, 2453, 4089, 2031, 2042, 3090, 2011, 1037, 1043, 28199, 1997, 1996, 2034, 2093, 2030, 2176, 4693, 1997, 1996, 3017, 3690, 1010, 2030, 2005, 2008, 3043, 2011, 1037, 3824, 1043, 28199, 1010, 2107, 2004, 1996, 2556, 3213, 1012, 2025, 2008, 1043, 28199, 2015, 2020, 1996, 2069, 3924, 2040, 3858, 2023, 20640, 18847, 10760, 6553, 3653, 14808, 24996, 1012, 1996, 4259, 5781, 11320, 22311, 2854, 1997, 3234, 8006, 1010, 2358, 1012, 2726, 1037, 12519, 3022, 1010, 4914, 1999, 2010, 7680, 2863, 14833, 21197, 19001, 2008, 1996, 4598, 1997, 4763, 2003, 1996, 2190, 6685, 2114, 1996, 4598, 1997, 2643, 1012, 2065, 1996, 4145, 1997, 1996, 18847, 10760, 6553, 2643, 2003, 2000, 2022, 3970, 1010, 2059, 1996, 3277, 1997, 4763, 2038, 2053, 14874, 7526, 1012, 18868, 1010, 2065, 4763, 6526, 1010, 2059, 1996, 18847, 10760, 6553, 2643, 2004, 3591, 2011, 1996, 7731, 3412, 7443, 3685, 4839, 1012, 2043, 3401, 15699, 2232, 4763, 1029, 2802, 2381, 1010, 3412, 7443, 2031, 14729, 2005, 1996, 4598, 1997, 4763, 1999, 1037, 2193, 1997, 3971, 1012, 1999, 3539, 10175, 2335, 1010, 1996, 6151, 13355, 7869, 16778, 4383, 3267, 1997, 2529, 8298, 3039, 2111, 2000, 2360, 2008, 2119, 2204, 1998, 2919, 2272, 2013, 1996, 7746, 1012, 2947, 19261, 23610, 2015, 2052, 2025, 2031, 2179, 2009, 3697, 2000, 2360, 2008, 2204, 1998, 4763, 2024, 4716, 2588, 2529, 9552, 2011, 1996, 2307, 4382, 1012, 1999, 1996, 2062, 12138, 6123, 1997, 7680, 10624, 1011, 26990, 7443, 1010, 2009, 2001, 3373, 2008, 1996, 5932, 11770, 3209, 2011, 4526, 6659, 2477, 11576, 4509, 9552, 1010, 4763, 7942, 1010, 1998, 9202, 3785, 2005, 2529, 2166, 1012, 2000, 12666, 1037, 18224, 24158, 29469, 9289, 11581, 2063, 1010, 2028, 2453, 2360, 2008, 2043, 2111, 2106, 2025, 2664, 10295, 1037, 24374, 8298, 1006, 2029, 2057, 2089, 1041, 16211, 2618, 2007, 1996, 9715, 13059, 1007, 1010, 2009, 2001, 4659, 3733, 2005, 2068, 2000, 4372, 17084, 2643, 2030, 1996, 5932, 2004, 2108, 2066, 3209, 1010, 2061, 2008, 1996, 16507, 1997, 2204, 1998, 4763, 2001, 2112, 1997, 2037, 3267, 1012, 2062, 3935, 6259, 7443, 2031, 7900, 2070, 1997, 2023, 7729, 1025, 2947, 1999, 17529, 3644, 8006, 2057, 2424, 1996, 9366, 2008, 2643, 2112, 20060, 1997, 2119, 2204, 1998, 4763, 20074, 1006, 2664, 5831, 20026, 1007, 1012, 2007, 1996, 3930, 1997, 8298, 1010, 1996, 2568, 4269, 2000, 21032, 2090, 1996, 3841, 12879, 6610, 3372, 1998, 1996, 3287, 8873, 2278, 3903, 1997, 2108, 1012, 1996, 6980, 10572, 2011, 2667, 2000, 2907, 1037, 2643, 4145, 2008, 15908, 2015, 2204, 1998, 4763, 4150, 24257, 1010, 2061, 2008, 2009, 4150, 4072, 2005, 1996, 2568, 2000, 3584, 1996, 2048, 1012, 1996, 9366, 1997, 7490, 7037, 2964, 2947, 18653, 1012, 1996, 2087, 4069, 2742, 2003, 2008, 1997, 1062, 14604, 14083, 6862, 2964, 1012, 2182, 1996, 2995, 1998, 2204, 2643, 1010, 6289, 4648, 25286, 1006, 2823, 2170, 2030, 2863, 26494, 1007, 1010, 14882, 1037, 7746, 17379, 2124, 2004, 17076, 2527, 2364, 10513, 1006, 6289, 20026, 2319, 1007, 1012, 1996, 2048, 2024, 5117, 1999, 1037, 14638, 14448, 5998, 2005, 22006, 1012, 2348, 6289, 4648, 25286, 2003, 4259, 1998, 2010, 7209, 3377, 2003, 8916, 1010, 2004, 2146, 2004, 4325, 18094, 2015, 17076, 2527, 2364, 10513, 2097, 3613, 2000, 2954, 2032, 1998, 3288, 6114, 2046, 1996, 2088, 1012, 1037, 12138, 2021, 2200, 17727, 18617, 2389, 3193, 1997, 4763, 1998, 2049, 7321, 2064, 2022, 2179, 1999, 1996, 2307, 11822, 2008, 7940, 1999, 2634, 1012, 2087, 1997, 2122, 19515, 2008, 4763, 2003, 2112, 1997, 1996, 16655, 20554, 18743, 6675, 2110, 1997, 4598, 1010, 1998, 2008, 1996, 3426, 1997, 4763, 2003, 18173, 1006, 18568, 3148, 1007, 1012, 2065, 2028, 18759, 2015, 2000, 1037, 8590, 2030, 4372, 7138, 6675, 8298, 1998, 2947, 9466, 2682, 2035, 7037, 6447, 1010, 2028, 2003, 19553, 2013, 19902, 1998, 2013, 2035, 2060, 3785, 1999, 2029, 4763, 3248, 1037, 2535, 1012, 3251, 2107, 7931, 21268, 5260, 2000, 1996, 8292, 11488, 3508, 1997, 27523, 12789, 2618, 4598, 2003, 2025, 2467, 3154, 1010, 2021, 2009, 2003, 3154, 2008, 2166, 2004, 2028, 2038, 2124, 2009, 13236, 2015, 1010, 1998, 2007, 2009, 4763, 13236, 2015, 2036, 1012, 1996, 2959, 4696, 2003, 2008, 1997, 4556, 18847, 10760, 2964, 2004, 2179, 1999, 7731, 13725, 1998, 7988, 1012, 2004, 2070, 1997, 1996, 2060, 7443, 2004, 26775, 20755, 1996, 4598, 1997, 4763, 2000, 2643, 1010, 1037, 16007, 16206, 4675, 1011, 2643, 1010, 2030, 2529, 18173, 1010, 2023, 2597, 2004, 26775, 20755, 2015, 1996, 4761, 1997, 4763, 2000, 2529, 8254, 1012, 1996, 4325, 10661, 1997, 1996, 7731, 12582, 2080, 1011, 3017, 4535, 1010, 2007, 2049, 2466, 1997, 1996, 3871, 1997, 10267, 1998, 1997, 1996, 8025, 2824, 2008, 2024, 2056, 2000, 2031, 9099, 21649, 2045, 1010, 3596, 1996, 3192, 2005, 2023, 3193, 1012, 2023, 6772, 4324, 2008, 1996, 9099, 17603, 28231, 2015, 5462, 2011, 1996, 2034, 2529, 3940, 2716, 2055, 1037, 1000, 2991, 1000, 1997, 4325, 1010, 4525, 1999, 1996, 2556, 2110, 1997, 1996, 2088, 1012, 1996, 8254, 1997, 1996, 2434, 3940, 2979, 2011, 12839, 2000, 2035, 2372, 1997, 1996, 2529, 2679, 1010, 2040, 2024, 2141, 13593, 1010, 21358, 29301, 2098, 2011, 1996, 3635, 1997, 2023, 1000, 2434, 8254, 1012, 1000, 2107, 4763, 2015, 2004, 2057, 2424, 1999, 2023, 2088, 1010, 2164, 3019, 18665, 1010, 11629, 2015, 1010, 1998, 1996, 18101, 2791, 1997, 1996, 2833, 4677, 1010, 2024, 2035, 5064, 2112, 1997, 1996, 2617, 3560, 8465, 1997, 1996, 2991, 1012, 2004, 2070, 5784, 1010, 5546, 15263, 3931, 4877, 1010, 2031, 4197, 2041, 1010, 2122, 10661, 12898, 3351, 5244, 21268, 6912, 1037, 13769, 3747, 2006, 1996, 8578, 2631, 2006, 2068, 1012, 2130, 1999, 1037, 10644, 3550, 2287, 2066, 2256, 2219, 1010, 1996, 3928, 5192, 1997, 2107, 9029, 4247, 2000, 3459, 1037, 14412, 2140, 2006, 2256, 9273, 1012, 2028, 2089, 4687, 2129, 11543, 2256, 2381, 2052, 2031, 8979, 2018, 1996, 8056, 1997, 1996, 2991, 2025, 2042, 2556, 2000, 6728, 20110, 1996, 9293, 1997, 2273, 1998, 2308, 1999, 2256, 3226, 999, 1996, 1043, 28199, 3193, 2035, 6259, 7443, 13399, 2008, 1996, 2088, 2003, 29238, 1025, 2027, 11234, 2069, 1999, 2129, 2027, 2903, 2023, 3047, 1998, 1999, 2054, 2003, 2000, 2022, 2589, 2055, 2009, 1012, 1043, 28199, 2015, 2031, 2467, 2018, 2037, 2219, 5328, 1997, 2122, 5609, 1012, 2027, 2907, 2008, 1996, 2088, 2003, 25077, 2025, 2138, 1997, 2529, 8254, 1010, 2021, 2138, 2009, 2001, 2580, 1999, 1037, 25077, 5450, 1012, 11388, 1006, 5240, 2011, 2116, 5784, 2004, 1996, 1043, 28199, 2964, 1997, 4021, 1007, 4269, 2007, 1996, 5038, 2008, 29520, 2166, 2003, 3561, 2007, 6114, 1012, 1043, 28199, 2015, 1010, 2119, 3418, 1998, 2715, 1010, 5993, 1012, 6114, 2003, 5262, 1996, 25953, 4818, 24491, 1997, 4763, 1999, 1996, 2088, 1012, 2348, 4286, 1010, 2007, 2037, 3375, 16127, 1998, 6825, 1010, 2024, 3395, 2000, 21741, 2015, 1997, 1037, 13048, 2135, 15514, 3267, 1010, 1996, 3571, 1010, 3255, 1010, 1998, 14624, 1997, 2035, 2060, 7329, 2003, 10358, 2004, 2092, 1012, 2000, 9131, 2358, 1012, 2703, 1005, 1055, 12369, 1010, 2035, 4325, 27778, 1998, 19817, 12462, 12146, 1999, 3255, 1012, 2664, 1043, 28199, 2015, 2031, 2025, 2042, 13050, 2000, 17961, 2107, 28616, 13028, 26639, 2000, 1996, 8254, 1997, 1996, 2034, 2529, 3940, 1012, 2027, 24557, 2008, 2009, 3084, 2172, 2062, 3168, 2000, 2360, 2008, 1996, 2088, 2038, 2025, 5357, 2021, 2001, 2081, 1999, 1037, 13718, 29238, 5450, 2000, 4088, 2007, 1012, 2000, 2404, 2009, 1999, 3621, 2062, 10061, 3408, 1010, 4763, 2003, 2112, 1997, 1996, 8313, 1997, 1996, 2088, 2057, 2444, 1999, 1025, 2009, 2003, 2112, 1998, 20463, 1997, 1996, 25953, 4818, 4507, 1997, 29520, 2166, 1012, 2065, 5262, 2045, 2003, 1037, 8543, 1997, 2023, 4507, 1010, 2059, 2009, 2003, 8916, 2135, 2023, 8543, 2040, 2003, 3625, 2005, 1996, 4763, 1999, 2009, 1012, 2144, 1010, 2005, 1996, 18847, 10760, 6553, 11822, 1010, 2023, 8543, 2003, 2643, 1010, 1996, 1043, 28199, 2597, 3544, 1038, 8523, 8458, 6633, 3560, 2000, 7511, 20373, 1010, 1998, 2003, 2411, 7021, 2007, 20006, 2130, 2011, 2216, 2040, 5136, 3209, 4895, 8671, 2666, 14028, 1012, 1996, 1043, 28199, 2597, 2089, 2342, 2000, 2022, 2641, 1999, 1996, 2422, 1997, 1996, 3439, 6147, 1997, 1996, 4535, 1012, 2429, 2000, 2087, 3824, 5784, 1010, 1043, 28199, 2964, 7940, 1999, 1996, 3644, 3412, 8185, 1006, 2763, 1999, 2049, 21770, 10624, 3527, 2595, 24491, 2015, 1007, 1998, 2059, 2234, 2000, 9698, 2993, 2007, 1996, 3644, 28354, 2008, 2150, 7988, 1012, 2947, 1996, 1043, 28199, 2015, 2020, 12892, 2007, 1996, 3746, 1997, 1996, 18847, 10760, 6553, 2643, 1999, 1996, 2214, 9025, 1998, 2049, 17241, 1999, 1996, 2047, 9025, 1012, 2027, 4320, 1037, 2643, 2040, 2001, 2411, 6178, 7277, 6313, 1010, 14532, 3993, 1010, 2310, 15465, 3993, 1010, 1998, 4895, 29427, 1012, 2009, 2001, 3733, 2005, 2068, 2000, 16519, 2008, 2023, 25077, 2643, 2453, 2031, 2580, 1037, 2088, 1999, 2010, 2219, 25077, 3746, 1012, 1996, 4602, 1997, 2035, 3980, 1996, 1043, 28199, 2015, 2356, 2001, 2023, 1024, 2003, 2023, 25077, 8543, 5621, 1996, 7209, 1010, 2995, 1010, 1998, 2204, 2643, 1029, 2030, 2003, 2002, 1037, 8276, 12764, 1010, 2040, 2003, 2593, 21591, 1997, 1037, 3618, 2373, 3458, 2370, 2030, 2003, 1037, 9715, 17727, 14122, 2953, 1010, 12098, 3217, 16961, 2000, 2370, 1996, 2597, 1997, 1996, 5415, 12764, 1029, 1996, 1043, 28199, 2015, 4660, 2122, 3980, 2011, 3038, 2023, 8543, 2003, 5525, 2025, 1996, 2995, 1010, 7209, 2643, 1010, 2021, 2738, 1037, 27668, 12514, 2891, 1006, 1000, 26286, 1000, 1007, 1010, 2019, 7783, 1010, 3905, 12764, 1012, 2023, 27668, 12514, 2063, 3183, 2027, 1041, 16211, 3064, 2007, 1996, 12764, 1997, 1996, 2214, 9025, 2001, 1996, 4761, 8844, 1997, 4763, 1998, 29238, 3258, 1999, 1996, 2088, 1012, 2947, 1996, 6835, 1038, 8523, 8458, 26662, 1997, 2012, 18886, 8569, 3436, 1996, 2088, 1005, 1055, 4763, 2000, 1996, 8543, 2003, 3936, 2004, 14802, 1999, 1996, 1043, 28199, 2015, 1005, 13111, 2007, 1996, 18847, 10760, 6553, 2643, 1012, 2785, 5596, 5750, 1010, 2107, 2004, 2014, 11368, 28775, 6491, 1010, 2106, 2025, 2227, 2023, 3653, 14808, 24996, 1024, 2108, 14318, 2015, 1010, 1996, 2014, 11368, 28775, 12837, 2106, 2025, 22490, 1996, 2601, 1010, 2572, 5638, 24879, 3275, 1997, 1996, 2214, 9025, 2643, 1010, 2061, 2027, 2020, 2583, 2000, 11092, 1037, 2625, 8401, 2597, 1012, 1006, 18527, 1010, 2651, 2116, 2111, 7166, 2000, 5684, 2014, 11368, 28775, 6491, 2058, 1043, 28199, 2964, 2005, 2023, 2200, 3114, 1012, 1007, 2116, 2031, 2699, 2000, 26399, 5038, 1997, 2023, 25077, 4325, 1998, 2049, 25077, 8543, 1010, 2021, 3904, 1997, 2037, 9918, 2031, 7622, 1043, 28199, 2015, 1012, 1996, 3418, 13176, 1010, 2926, 1996, 18858, 26942, 2015, 1010, 9449, 2111, 2000, 2298, 2000, 1996, 9396, 1997, 1996, 5304, 1010, 2061, 2008, 2011, 2310, 3678, 5844, 2049, 9026, 3126, 2027, 2453, 5293, 2037, 2219, 21358, 29301, 8496, 2004, 2092, 2004, 1996, 7601, 17897, 16670, 27707, 5134, 1997, 6623, 2166, 1012, 1000, 2298, 2012, 2023, 3376, 2088, 1024, 1005, 2027, 2056, 1025, 1000, 2156, 2049, 21688, 2135, 23589, 2126, 1997, 12285, 1998, 2566, 22327, 24133, 2993, 1010, 2129, 2064, 2028, 2655, 2242, 2061, 3376, 1998, 25546, 6313, 2019, 4763, 2518, 1029, 1000, 2000, 2029, 1043, 28199, 2015, 2031, 2467, 4660, 2008, 2144, 1996, 21407, 1010, 2005, 10626, 10087, 4757, 1010, 1998, 7344, 3370, 1997, 4598, 2024, 2036, 6151, 19825, 3468, 1010, 1996, 9396, 1998, 2344, 1997, 1996, 5304, 2024, 2012, 2190, 2069, 7704, 1012, 2216, 5105, 2011, 2789, 21244, 2031, 2012, 2335, 2716, 2039, 1996, 4252, 1997, 19902, 13557, 2028, 1005, 1055, 28616, 26095, 5104, 9699, 28616, 13028, 9816, 2101, 1999, 2166, 2030, 2130, 1999, 2178, 2166, 2004, 9990, 1996, 29238, 3258, 1997, 1996, 19676, 2088 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1055, 1996, 1038, 1005, 16215, 2744, 1997, 1011, 25371, 2683, 2575, 2487, 1010, 1011, 5139, 2581, 2683, 23833, 1010, 1011, 6445, 15136, 2683, 2629, 1010, 1011, 11518, 27814, 2575, 2620, 1029, 1011, 1016, 1008, 1038, 1008, 1008, 1016, 1011, 25371, 2683, 28154, 1008, 1038, 2054, 2003, 1996, 1044, 1005, 16215, 2744, 1997, 1011, 4720, 2620, 17134, 1010, 1011, 4720, 2620, 16068, 1010, 1011, 4720, 2620, 16576, 1029, 1011, 1016, 1008, 1044, 1011, 4720, 2620, 14526, 2054, 2003, 1996, 1062, 1005, 16215, 2744, 1997, 12457, 1010, 27234, 1010, 6163, 2475, 1010, 10630, 2620, 1010, 16890, 1029, 6353, 1008, 1062, 1008, 1008, 1016, 1009, 1017, 1008, 1062, 1009, 4413, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 1011, 1021, 1010, 1011, 2385, 1010, 1011, 4601, 1010, 1011, 6070, 1010, 1011, 17867, 1010, 1011, 24231, 1010, 1011, 29403, 1029, 1011, 1039, 1008, 1008, 1017, 1011, 1016, 1008, 1039, 1008, 1008, 1016, 1009, 1018, 1008, 1039, 1011, 1022, 2054, 2003, 1996, 1046, 1005, 16215, 2744, 1997, 1011, 22898, 1010, 1011, 5824, 2509, 1010, 1011, 13285, 2575, 1010, 1011, 16785, 2487, 1010, 1011, 19936, 2620, 1010, 1011, 21950, 2581, 1010, 1011, 17196, 2620, 1029, 1011, 1046, 1008, 1008, 1016, 1011, 4805, 2620, 1008, 1046, 1009, 20335, 2054, 2003, 1996, 1052, 1005, 16215, 2744, 1997, 1011, 19652, 2509, 1010, 1011, 4724, 22394, 1010, 1011, 6079, 22394, 1010, 1011, 6564, 22275, 1010, 1011, 12963, 2683, 2509, 1029, 1011, 9475, 1008, 1052, 1008, 1008, 1016, 1011, 27054, 2509, 2054, 2003, 1996, 1059, 1005, 16215, 2744, 1997, 1011, 3486, 2620, 1010, 1011, 15471, 2509, 1010, 1011, 27003, 2475, 1010, 1011, 5179, 2581, 2487, 1010, 1011, 6070, 20842, 1010, 1011, 11899, 22394, 1010, 1011, 24440, 2620, 1010, 1011, 22777, 22610, 1029, 1011, 1059, 1008, 1008, 1017, 1011, 28474, 1008, 1059, 1008, 1008, 1016, 1009, 1019, 1008, 1059, 1011, 2340, 2054, 2003, 1996, 1045, 1005, 16215, 2744, 1997, 6227, 2683, 1010, 6205, 2475, 1010, 6564, 2581, 1010, 6275, 2475, 1010, 4185, 2629, 1010, 4008, 2549, 1010, 16785, 1029, 1011, 1016, 1008, 1045, 1008, 1008, 1017, 1011, 1016, 1008, 1045, 1008, 1008, 1016, 1009, 1017, 1008, 1045, 1009, 29359, 2054, 2003, 1996, 1055, 1005, 16215, 2744, 1997, 1011, 28941, 23352, 1010, 1011, 6282, 24087, 2487, 1010, 1011, 13092, 16703, 2581, 1010, 1011, 17867, 10790, 2509, 1010, 1011, 18540, 2620, 2581, 2683, 1029, 1011, 28941, 2581, 2575, 1008, 1055, 1009, 1015, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 1011, 1016, 1010, 1011, 2753, 1010, 1011, 12457, 1010, 1011, 19955, 1010, 1011, 17222, 1010, 1011, 28048, 1029, 1011, 1022, 1008, 1061, 1008, 1008, 1016, 1011, 2484, 1008, 1061, 1009, 2382, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 12457, 2692, 2575, 1010, 22777, 26224, 1010, 29386, 2683, 2549, 1010, 17267, 23632, 1010, 5401, 28154, 2692, 1029, 1047, 1008, 1008, 1016, 1009, 10630, 12740, 1008, 1047, 1011, 11502, 2054, 2003, 1996, 1038, 1005, 16215, 2744, 1997, 1011, 6079, 2549, 1010, 1011, 13092, 2487, 1010, 1011, 11517, 1029, 1011, 3438, 2581, 1008, 1038, 1011, 1021, 2054, 2003, 1996, 1037, 1005, 16215, 2744, 1997, 1011, 6486, 1010, 1011, 19984, 1010, 1011, 24426, 1010, 1011, 4720, 2581, 1010, 1011, 6275, 2487, 1010, 1011, 7287, 2683, 1010, 1011, 15017, 2509, 1010, 1011, 18540, 2629, 1029, 1011, 1016, 1008, 1037, 1008, 1008, 1017, 1011, 1021, 1008, 1037, 1008, 1008, 1016, 1011, 6353, 1008, 1037, 1011, 2340, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 6445, 2629, 1010, 29029, 1010, 23688, 2629, 1010, 22904, 2692, 1010, 4229, 2581, 2581, 1010, 3429, 19841, 1010, 4720, 21926, 1010, 5388, 14142, 1029, 1011, 1048, 1008, 1008, 1017, 1011, 1016, 1008, 1048, 1008, 1008, 1016, 1009, 3770, 2575, 1008, 1048, 1009, 2570, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 1011, 4466, 27814, 2487, 1010, 1011, 5989, 16048, 2581, 1010, 1011, 13741, 23352, 2629, 1010, 1011, 3826, 19961, 1029, 1011, 1047, 1008, 1008, 1016, 1011, 4466, 27814, 2509, 1008, 1047, 1009, 1017, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 6275, 2549, 1010, 6353, 2487, 1010, 6079, 2475, 1010, 5139, 2487, 1010, 4700, 2475, 1029, 1011, 1047, 1008, 1008, 1017, 1009, 2410, 1008, 1047, 1008, 1008, 1016, 1011, 8732, 1008, 1047, 1009, 6486, 2581, 2054, 2003, 1996, 1045, 1005, 16215, 2744, 1997, 1011, 4868, 2620, 1010, 1011, 5139, 2629, 1010, 1011, 23609, 1010, 1011, 3770, 2509, 1010, 1011, 11518, 2549, 1029, 1011, 1019, 1008, 1045, 1008, 1008, 1017, 1009, 1045, 1008, 1008, 1016, 1009, 1019, 1008, 1045, 1011, 4868, 2683, 2054, 2003, 1996, 1046, 1005, 16215, 2744, 1997, 3486, 2683, 1010, 4700, 2509, 1010, 6255, 2683, 1010, 14989, 2509, 1010, 17825, 2487, 1029, 2385, 1008, 1046, 1008, 1008, 1017, 1009, 1016, 1008, 1046, 1009, 28358, 2054, 2003, 1996, 1051, 1005, 16215, 2744, 1997, 1011, 17403, 2575, 1010, 1011, 8698, 2487, 1010, 1011, 5139, 23833, 1010, 1011, 6421, 22203, 1010, 1011, 6227, 2581, 2575, 1010, 1011, 11176, 24096, 1029, 1011, 4849, 1008, 1051, 1009, 4090, 2683, 2054, 2003, 1996, 1056, 1005, 16215, 2744, 1997, 6445, 12740, 2629, 1010, 6445, 12740, 2487, 1010, 6445, 23499, 2581, 1010, 6445, 23499, 2509, 1029, 1011, 1018, 1008, 1056, 1009, 6445, 12740, 2683, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 1011, 3938, 19317, 1010, 1011, 3938, 16932, 1010, 1011, 7706, 2475, 1010, 1011, 6486, 20842, 1029, 1016, 1008, 1047, 1008, 1008, 1016, 1009, 1016, 1008, 1047, 1011, 3938, 23833, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 11118, 1010, 7287, 1010, 3943, 1010, 1011, 6036, 1010, 1011, 4090, 2683, 1010, 1011, 3515, 2549, 1029, 1011, 4229, 1008, 1061, 1008, 1008, 1016, 1009, 12104, 1008, 1061, 1009, 4029, 2054, 2003, 1996, 1038, 1005, 16215, 2744, 1997, 11118, 1010, 4293, 1010, 2676, 1010, 1011, 3943, 1010, 1011, 8746, 1010, 1011, 20500, 1010, 1011, 21777, 1029, 1011, 1020, 1008, 1038, 1008, 1008, 1016, 1011, 2324, 1008, 1038, 1009, 11502, 2054, 2003, 1996, 1059, 1005, 16215, 2744, 1997, 25745, 18139, 22610, 1010, 25745, 18139, 21472, 1010, 25745, 18139, 19961, 1029, 1011, 1059, 1009, 25745, 18139, 18139, 2054, 2003, 1996, 1050, 1005, 16215, 2744, 1997, 1011, 17613, 1010, 1011, 18225, 1010, 1011, 16087, 1010, 1011, 8746, 1010, 1011, 3438, 1029, 1018, 1008, 1050, 1008, 1008, 1016, 1009, 1023, 1008, 1050, 1011, 16327, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 4464, 2549, 1010, 4261, 2581, 1010, 3486, 2620, 1010, 28489, 1010, 26257, 1029, 1011, 1047, 1008, 1008, 1016, 1011, 2403, 1008, 1047, 1009, 2871, 2683, 2054, 2003, 1996, 1058, 1005, 16215, 2744, 1997, 24921, 2683, 2509, 1010, 5401, 12740, 2683, 1010, 6564, 12521, 2629, 1029, 23090, 16048, 1008, 1058, 1011, 2603, 2054, 2003, 1996, 1056, 1005, 16215, 2744, 1997, 22582, 2683, 1010, 2753, 21619, 1010, 4293, 22203, 1010, 2531, 21084, 1010, 8732, 23352, 1010, 5018, 2620, 2549, 1010, 21667, 2487, 1029, 1011, 1056, 1008, 1008, 1016, 1009, 22898, 2692, 1008, 1056, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 19015, 2575, 2487, 1010, 19015, 2581, 2620, 1010, 19015, 2683, 2629, 1010, 20802, 12521, 1010, 20802, 24594, 1010, 20802, 21472, 1029, 2459, 1008, 1039, 1009, 19015, 22932, 2054, 2003, 1996, 1057, 1005, 16215, 2744, 1997, 22997, 2581, 1010, 5786, 2575, 2509, 1010, 6109, 2620, 2581, 1010, 8732, 2692, 2683, 1029, 1011, 1057, 1008, 1008, 1016, 1009, 21036, 2683, 1008, 1057, 1009, 1023, 2054, 2003, 1996, 1040, 1005, 16215, 2744, 1997, 1011, 25717, 2692, 1010, 1011, 25586, 2581, 1010, 1011, 26871, 2475, 1010, 1011, 27502, 2629, 1010, 1011, 26257, 2575, 1029, 1011, 2539, 1008, 1040, 1008, 1008, 1016, 1011, 25491, 2487, 2054, 2003, 1996, 1060, 1005, 16215, 2744, 1997, 1011, 2756, 1010, 1011, 17267, 1010, 1011, 17832, 2581, 1010, 1011, 4229, 2683, 2575, 1010, 1011, 6146, 22394, 1029, 1011, 6079, 1008, 1060, 1008, 1008, 1017, 1011, 1016, 1008, 1060, 1008, 1008, 1016, 1009, 1016, 1008, 1060, 1009, 3590, 2054, 2003, 1996, 1040, 1005, 16215, 2744, 1997, 1011, 19235, 1010, 1011, 6356, 2549, 1010, 1011, 26621, 1010, 1011, 28489, 2692, 1010, 1011, 25186, 2581, 1010, 1011, 5345, 26976, 1010, 1011, 13741, 23499, 1010, 1011, 12875, 2581, 2620, 1029, 1011, 4261, 1008, 1040, 1008, 1008, 1017, 1011, 1040, 1008, 1008, 1016, 1011, 25103, 1008, 1040, 1009, 5818, 2054, 2003, 1996, 1051, 1005, 16215, 2744, 1997, 12904, 19961, 2475, 1010, 20666, 21057, 2509, 1010, 4090, 2683, 19481, 2549, 1010, 4805, 27814, 2692, 2629, 1010, 5388, 19317, 26976, 1029, 12904, 19961, 2487, 1008, 1051, 1009, 1015, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 12963, 23777, 1010, 10630, 2620, 2509, 1010, 12104, 21926, 1029, 1011, 13539, 1008, 1048, 1009, 12606, 2692, 2509, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 1011, 23593, 17465, 1010, 1011, 23593, 2692, 2581, 1010, 1011, 17825, 2683, 2509, 1010, 1011, 17825, 2581, 2683, 1029, 2403, 1008, 1039, 1011, 23593, 19481, 2054, 2003, 1996, 1043, 1005, 16215, 2744, 1997, 1011, 23980, 2692, 1010, 1011, 23609, 2475, 1010, 1011, 6365, 15136, 1010, 1011, 8732, 2692, 2620, 1010, 1011, 14168, 2581, 2475, 1010, 1011, 6863, 2692, 1029, 2410, 1008, 1043, 1008, 1008, 1016, 1011, 27003, 2487, 1008, 1043, 1009, 1022, 2054, 2003, 1996, 1058, 1005, 16215, 2744, 1997, 6421, 2549, 1010, 26271, 1010, 1011, 24709, 1010, 1011, 12904, 2629, 1010, 1011, 11816, 2575, 1010, 1011, 16444, 2487, 1010, 1011, 5187, 12376, 1029, 1011, 13029, 1008, 1058, 1008, 1008, 1016, 1009, 1016, 1008, 1058, 1009, 5594, 2683, 2054, 2003, 1996, 1058, 1005, 16215, 2744, 1997, 14010, 16932, 1010, 13029, 16576, 1010, 11899, 11387, 1010, 14378, 21926, 1010, 7558, 23833, 1029, 9800, 1008, 1058, 1009, 8732, 14526, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 6275, 2475, 1010, 20666, 2475, 1010, 17267, 2620, 1010, 6146, 12740, 1010, 12457, 15136, 1029, 4261, 2509, 1008, 1039, 1008, 1008, 1016, 1009, 29403, 1008, 1039, 1011, 2260, 2054, 2003, 1996, 1051, 1005, 16215, 2744, 1997, 1011, 6070, 17134, 2692, 1010, 1011, 20827, 28154, 1010, 1011, 21611, 23499, 2692, 1010, 1011, 28906, 25746, 2509, 1010, 1011, 17422, 26187, 2620, 1010, 1011, 4720, 2620, 2581, 2683, 2629, 1010, 1011, 6079, 2575, 2683, 22022, 1029, 1011, 1051, 1008, 1008, 1016, 1011, 6070, 12521, 2575, 1008, 1051, 1011, 1017, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 25926, 2692, 2549, 1010, 25926, 16048, 1010, 25926, 22022, 1010, 25926, 27814, 1029, 1017, 1008, 1061, 1008, 1008, 1016, 1009, 1017, 1008, 1061, 1009, 27240, 2683, 2620, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 14677, 2575, 1010, 21950, 2549, 1010, 4464, 23833, 1010, 4720, 19317, 1010, 3515, 12521, 1010, 6255, 2683, 2575, 1029, 1011, 1017, 1008, 1048, 1008, 1008, 1016, 1009, 14677, 2581, 1008, 1048, 1009, 1016, 2054, 2003, 1996, 1039, 1005, 16215, 2744, 1997, 4090, 28756, 1010, 16621, 17465, 1010, 22997, 21472, 1010, 4583, 2581, 23632, 1010, 6584, 10790, 2575, 1010, 8732, 22932, 2487, 1029, 4090, 27531, 1008, 1039, 1008, 1008, 1016, 1011, 2539, 2054, 2003, 1996, 1042, 1005, 16215, 2744, 1997, 1011, 2753, 2581, 2509, 1010, 1011, 5187, 26224, 1010, 1011, 5179, 17788, 1029, 1011, 25113, 1008, 1042, 1011, 4700, 2683, 2581, 2054, 2003, 1996, 1059, 1005, 16215, 2744, 1997, 1011, 14010, 16147, 1010, 1011, 6036, 2581, 2581, 1010, 1011, 11118, 26187, 1010, 1011, 5818, 2581, 2581, 1010, 1011, 26667, 2581, 1010, 1011, 6079, 26224, 1010, 1011, 4029, 2683, 2581, 1029, 1059, 1008, 1008, 1017, 1009, 20311, 1008, 1059, 1008, 1008, 1016, 1011, 1016, 1008, 1059, 1011, 13029, 2683, 2581, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 1011, 24673, 1010, 1011, 29302, 1010, 1011, 5354, 2629, 1010, 1011, 6353, 2629, 1010, 1011, 6535, 2629, 1029, 1011, 2531, 1008, 1047, 1011, 21679, 2054, 2003, 1996, 1048, 1005, 16215, 2744, 1997, 10715, 1010, 4464, 2475, 1010, 6163, 2575, 1029, 26871, 1008, 1048, 1011, 18561, 2054, 2003, 1996, 1060, 1005, 16215, 2744, 1997, 4976, 2683, 1010, 4229, 17465, 2581, 1010, 5401, 16703, 2629, 1029, 4976, 2620, 1008, 1060, 1009, 1015, 2054, 2003, 1996, 1061, 1005, 16215, 2744, 1997, 13274, 1010, 3172, 1010, 19540, 2620, 1010, 4293, 17788, 1010, 12904, 22022, 1010, 29016, 2629, 1010, 14993, 22407, 1029, 4008, 2575, 1008, 1061, 1008, 1008, 1016, 1009, 5345, 1008, 1061, 1009, 1023, 2054, 2003, 1996, 1049, 1005, 16215, 2744, 1997, 1011, 5139, 2683, 18139, 2575, 1010, 1011, 5139, 2683, 18139, 2509, 1010, 1011, 5139, 2683, 18139, 2692, 1010, 1011, 5139, 2683, 22610, 2581, 1010, 1011, 5139, 2683, 22610, 2549, 1029, 1017, 1008, 1049, 1011, 5139, 2683, 18139, 2683, 2054, 2003, 1996, 1042, 1005, 16215, 2744, 1997, 15028, 17465, 1010, 25113, 19841, 1010, 24690, 16147, 1010, 4583, 21619, 2620, 1029, 15028, 26224, 1008, 1042, 1011, 2654, 2054, 2003, 1996, 1047, 1005, 16215, 2744, 1997, 10550, 19841, 1010, 10715, 2692, 2683, 1010, 10715, 2581, 2575, 1010, 11518, 2620, 2509, 1010, 11118 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 4955, 1063, 1001, 1055, 2487, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 2002, 10415, 16429, 18908, 2121, 1052, 8516, 10050, 1008, 2003, 3625, 2005, 2087, 6829, 4181, 2389, 1998, 27233, 4588, 17359, 17119, 1998, 2036, 3248, 2019, 2590, 2535, 1999, 3806, 12412, 16298, 24755, 11890, 5740, 2863, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2012, 27949, 2487, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 7987, 24336, 2099, 2487, 1033, 1012, 1996, 7337, 1997, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 26835, 2594, 3466, 2003, 10599, 1010, 2021, 2009, 2003, 3373, 2000, 2022, 3141, 2000, 3375, 3677, 17341, 10266, 13330, 2011, 6819, 6820, 22717, 9165, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 26445, 13331, 2487, 1033, 1010, 1998, 2009, 2003, 2825, 2008, 2122, 3896, 2024, 9412, 2011, 1996, 17503, 2791, 1997, 1996, 24024, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 4100, 3630, 22122, 2487, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 26785, 5428, 2487, 1033, 1012, 2633, 1010, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 2001, 3728, 5159, 2306, 3806, 12412, 14163, 13186, 2050, 6178, 9386, 5134, 1010, 2073, 2009, 3544, 2000, 5323, 2485, 2523, 2007, 9413, 22123, 8093, 28788, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 26785, 5428, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2004, 8458, 4747, 2213, 2487, 1033, 1012, 3568, 1010, 2009, 2003, 2590, 2000, 4503, 3563, 1998, 7591, 8382, 4725, 4352, 1996, 10788, 1998, 8720, 1997, 2023, 12702, 21759, 7088, 6491, 1999, 6897, 9908, 1012, 3226, 1997, 1996, 24024, 2003, 2641, 1996, 2751, 3115, 1010, 2021, 1996, 4118, 2003, 2025, 7591, 1998, 2003, 3563, 2069, 2065, 3176, 5604, 2003, 2864, 2006, 1996, 27152, 2015, 1012, 1996, 4118, 1997, 3601, 7336, 17782, 11022, 4677, 4668, 1006, 7473, 2099, 1007, 23713, 3669, 10803, 1997, 3563, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 9165, 1012, 2174, 1010, 2478, 2023, 3921, 2089, 2022, 18636, 2349, 2000, 1996, 4866, 26572, 19539, 1997, 2116, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 9165, 1998, 1996, 6438, 1997, 3327, 9165, 1999, 2070, 18859, 1032, 1031, 1041, 1012, 1043, 1012, 6187, 3654, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 11503, 2953, 2989, 9331, 2239, 3401, 2487, 1033, 1032, 1033, 1012, 2426, 1996, 9165, 2008, 2031, 2042, 7718, 1010, 1008, 24471, 5243, 1008, 1998, 1008, 24471, 8586, 1008, 1006, 2036, 2315, 1008, 1043, 13728, 2213, 1008, 1007, 3711, 7591, 1010, 2021, 2027, 3768, 3563, 3012, 1012, 3568, 1010, 1996, 16483, 10788, 1997, 3674, 1010, 1008, 1044, 1012, 1052, 8516, 10050, 1011, 1008, 3563, 1010, 9165, 1998, 1996, 2224, 1997, 2367, 4520, 1997, 3539, 2869, 2038, 2042, 2641, 2000, 2022, 4072, 2000, 6162, 3563, 1998, 7591, 11616, 1997, 1996, 8985, 1012, 2178, 3921, 2000, 1996, 3160, 2038, 2042, 2000, 2224, 1008, 1044, 1012, 1052, 8516, 10050, 2385, 2015, 25269, 2532, 1008, 1012, 2023, 19395, 27642, 4962, 2003, 3327, 1999, 2008, 2009, 2003, 2556, 1999, 2035, 10327, 2096, 1010, 2012, 1996, 2168, 2051, 1010, 2009, 8681, 16371, 14321, 26601, 10071, 2008, 2024, 3563, 2000, 1037, 2445, 17341, 3562, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 12849, 23373, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 3044, 2487, 1033, 1012, 5537, 4106, 1997, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 4962, 2038, 2419, 2000, 2256, 2783, 4824, 1997, 4013, 6673, 7677, 4588, 6887, 8516, 23924, 2100, 1998, 1008, 1044, 1012, 1052, 8516, 10050, 2385, 2015, 25269, 2532, 1008, 4962, 5537, 4106, 14477, 14905, 8004, 28078, 24374, 1996, 1008, 2002, 10415, 16429, 18908, 2121, 1008, 3562, 2013, 1996, 4876, 3141, 1008, 3409, 8516, 16429, 18908, 2121, 1008, 3562, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2175, 8024, 2666, 21355, 2487, 1033, 2947, 4352, 4325, 1997, 1996, 1008, 2002, 10415, 16429, 18908, 2121, 1008, 3562, 1012, 2633, 1010, 1008, 1044, 1012, 1052, 8516, 10050, 2385, 2015, 25269, 2532, 1008, 4962, 5537, 2038, 2042, 2109, 2004, 1037, 6994, 2000, 21032, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 2013, 2060, 1008, 2002, 10415, 16429, 18908, 2121, 1008, 11867, 1012, 2926, 2005, 27152, 2015, 2013, 4111, 4216, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 7570, 2487, 1033, 1011, 1011, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 4419, 2487, 1033, 1012, 2182, 1010, 2057, 5537, 2094, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 9165, 1997, 2048, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 2007, 29295, 2367, 6064, 27556, 2008, 2018, 2042, 3226, 2094, 2013, 2048, 5022, 2542, 1999, 2367, 17846, 1998, 2007, 2367, 2203, 2891, 26461, 11616, 1012, 2011, 9844, 2122, 10071, 2007, 2169, 2060, 1998, 2007, 2216, 2800, 1999, 1996, 2120, 2415, 2005, 20353, 2592, 1006, 13316, 5638, 1007, 16371, 14321, 26601, 7809, 1010, 2057, 2034, 4453, 1037, 4310, 16371, 14321, 26601, 5884, 2008, 2003, 24004, 21197, 3560, 1999, 2087, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 1012, 2057, 2059, 4225, 1010, 2306, 2023, 5884, 1010, 1037, 5537, 2008, 2003, 24004, 21197, 3560, 2426, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 2021, 2025, 2426, 2060, 17341, 2427, 1998, 2109, 2023, 5884, 2000, 2640, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 1011, 3563, 3539, 2869, 1998, 15113, 2015, 2000, 2022, 2109, 1999, 1037, 2613, 1011, 2051, 20155, 19387, 1011, 7473, 2099, 1006, 11937, 4160, 2386, 1007, 4632, 4710, 1998, 2019, 1008, 1999, 26179, 1008, 8893, 3989, 1006, 2003, 2232, 1007, 4118, 1012, 2122, 4725, 2064, 4919, 11487, 2625, 2084, 2184, 4809, 1997, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 1999, 3806, 12412, 16012, 4523, 3111, 1998, 2036, 3499, 24110, 3775, 10803, 1997, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 4304, 1999, 16012, 4523, 3111, 2013, 4176, 1998, 5022, 2007, 3806, 18886, 7315, 1010, 3806, 12412, 3653, 9336, 17119, 3560, 22520, 1998, 4456, 1012, 4725, 1063, 1001, 1055, 2475, 1065, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1008, 1008, 12962, 6226, 1008, 1008, 2000, 4287, 2913, 1999, 4286, 2001, 4663, 2013, 12148, 3319, 2604, 1997, 1996, 8019, 4896, 1998, 2517, 9619, 3596, 2001, 4663, 2013, 2169, 13180, 1012, 1999, 2804, 1010, 2913, 2864, 1999, 4176, 2020, 4844, 2011, 1996, 12148, 4111, 2729, 1998, 2224, 2837, 1012, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 18859, 1063, 1001, 1055, 2475, 2050, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3806, 12412, 14405, 7941, 16012, 4523, 3111, 2020, 22629, 1999, 1006, 1015, 1007, 2019, 9408, 5776, 2007, 3806, 12412, 16298, 24755, 11890, 5740, 2863, 1998, 1006, 1016, 1007, 1037, 1057, 1012, 1055, 1012, 23368, 5776, 2007, 4417, 3806, 18886, 7315, 2021, 2053, 17359, 17119, 1012, 16012, 4523, 3111, 2020, 3226, 2094, 2478, 1008, 3409, 8516, 16429, 18908, 2121, 1008, 16480, 26289, 23355, 2668, 12943, 2906, 7766, 20585, 2007, 12241, 11031, 7361, 20026, 1010, 3158, 9006, 2100, 15459, 1010, 23713, 12326, 22420, 2378, 1038, 1998, 26572, 8029, 20303, 1038, 1006, 2128, 10199, 1010, 18798, 10288, 2050, 1007, 2012, 4261, 7737, 2278, 1999, 2019, 7224, 1997, 3938, 1003, 1050, 1066, 1016, 1066, 1010, 1019, 1003, 1051, 1066, 1016, 1066, 1010, 1998, 1019, 1003, 2522, 1066, 1016, 1066, 1006, 12702, 27867, 16429, 2594, 3785, 1007, 1012, 17341, 27152, 2015, 8335, 2007, 1008, 1044, 1012, 1052, 8516, 10050, 1008, 1999, 4338, 1010, 5701, 19476, 1010, 4372, 9096, 12644, 4023, 1010, 1998, 13250, 1011, 4997, 3570, 3473, 2306, 1021, 1011, 1011, 2184, 2420, 1012, 2309, 5701, 27152, 2015, 2020, 4942, 14561, 2094, 2006, 8351, 2668, 12943, 2906, 7766, 20585, 2007, 3046, 20746, 25176, 12943, 2906, 1006, 2128, 10199, 1010, 18798, 10288, 2050, 1010, 29535, 1007, 1010, 4484, 2005, 4372, 9096, 12644, 4023, 1998, 13250, 21101, 1998, 5067, 1999, 17344, 17698, 28413, 1006, 13683, 1025, 14989, 3461, 6583, 20464, 1010, 1016, 1012, 1021, 3461, 21117, 2140, 1010, 2184, 3461, 17344, 17698, 1007, 2005, 4745, 8991, 22026, 6064, 14676, 1998, 4106, 1012, 6064, 14676, 1063, 1001, 1055, 2475, 2497, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 6064, 2001, 15901, 2013, 2169, 27152, 5067, 1999, 13683, 2011, 18816, 11057, 8737, 6064, 7163, 8934, 1998, 13995, 1996, 8168, 2004, 2649, 1999, 1996, 19274, 1006, 18816, 4270, 2078, 4297, 1012, 1010, 8422, 1007, 1012, 6721, 23713, 3669, 10803, 1997, 26572, 18078, 6064, 1006, 9680, 2094, 1007, 1063, 1001, 1055, 2475, 2278, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 6064, 4344, 16550, 2075, 2478, 1996, 9680, 2094, 6028, 2001, 2109, 2000, 12826, 1996, 27152, 2015, 1012, 1037, 2275, 1997, 1019, 2367, 2184, 1011, 21442, 3539, 2869, 1006, 13412, 2581, 1024, 1019, 1531, 1011, 9779, 3654, 18195, 9468, 13512, 1011, 1017, 1531, 1025, 8732, 2549, 1024, 1019, 1531, 1011, 10507, 18195, 8490, 16665, 2050, 1011, 1017, 1531, 1025, 11899, 2487, 1024, 1019, 1531, 1011, 9779, 2278, 18195, 18195, 11057, 2278, 1011, 1017, 1531, 1025, 13138, 2620, 1019, 1531, 1011, 1043, 2278, 20697, 9468, 16665, 1011, 1017, 1531, 1025, 14378, 2692, 1024, 1019, 1531, 1011, 14181, 23033, 2102, 18195, 3654, 1011, 1017, 1531, 1007, 2020, 2109, 2004, 2405, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 17712, 7361, 7054, 3215, 2487, 1033, 1012, 1008, 2385, 2015, 25269, 2532, 1008, 4962, 23713, 3669, 10803, 1998, 24558, 1063, 1001, 1055, 2475, 2094, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2561, 6064, 2001, 15901, 2013, 2169, 5776, 1032, 1005, 1055, 27152, 1998, 7473, 2099, 1011, 26986, 2478, 2405, 3539, 2869, 1006, 2156, 26215, 1031, 4725, 1055, 2487, 1033, 1006, 1001, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1012, 1055, 8889, 2487, 1007, 1063, 25416, 1011, 2828, 1027, 1000, 26215, 1011, 3430, 1000, 1065, 1007, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 14925, 2243, 4135, 4246, 2487, 1033, 1012, 1996, 3937, 2334, 12139, 3945, 6994, 1006, 16371, 14321, 26601, 8479, 1007, 1010, 2120, 2415, 2005, 20353, 2592, 1006, 13316, 5638, 1007, 1010, 9152, 2232, 1010, 1006, 1026, 8299, 1024, 1013, 1013, 7479, 1012, 13316, 5638, 1012, 17953, 2213, 1012, 9152, 2232, 1012, 18079, 1013, 8479, 1013, 8479, 1012, 1039, 5856, 1028, 1007, 3444, 2005, 12139, 2090, 2048, 16371, 14321, 26601, 10071, 1006, 1038, 2140, 2475, 3366, 4160, 1007, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 11937, 5809, 7103, 2487, 1033, 2001, 2109, 2000, 25705, 1996, 20567, 5537, 2094, 9214, 1997, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 4962, 1012, 1996, 1008, 2385, 2015, 25269, 2532, 1008, 10071, 1997, 18859, 2149, 2226, 10790, 2487, 1998, 2149, 2226, 10790, 2475, 2020, 21933, 5732, 1998, 5068, 1999, 1996, 8991, 9299, 16371, 14321, 26601, 7809, 2004, 7327, 27009, 23632, 2683, 2683, 1998, 7327, 27009, 20958, 8889, 1010, 4414, 1012, 2010, 23479, 1998, 1008, 1999, 26179, 1008, 8893, 3989, 1063, 1001, 1055, 2475, 2063, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 3806, 12412, 16012, 4523, 3111, 2020, 4964, 1999, 1018, 1003, 11498, 14192, 19058, 11106, 18124, 2306, 2382, 3823, 1997, 21534, 1010, 2139, 10536, 7265, 3064, 1999, 22886, 2306, 2048, 2420, 1010, 1998, 11157, 1999, 11498, 15379, 1012, 4895, 9153, 21280, 5433, 2020, 2059, 9702, 2007, 19610, 10610, 18037, 4115, 1998, 1041, 20049, 2078, 2030, 2429, 2000, 8991, 2696, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 8991, 2696, 2487, 1033, 2030, 13995, 2005, 2003, 2232, 2004, 2649, 1999, 1996, 12448, 12086, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 4100, 3630, 22122, 2487, 1033, 1010, 1031, 1030, 13433, 2638, 1012, 2199, 23833, 2620, 2683, 1011, 2004, 8458, 4747, 2213, 2475, 1033, 1012, 7711, 1997, 4118, 1063, 1001, 1055, 2475, 2546, 1065, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 2491, 2005, 2512, 13102, 8586, 18513, 8031 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1053, 1024, 15990, 18724, 5371, 1029, 1045, 1005, 1049, 2667, 2000, 2224, 1039, 3642, 2007, 2330, 2278, 2615, 1999, 2227, 10788, 1998, 10320, 1010, 2021, 1045, 3685, 3857, 1996, 3120, 1012, 1045, 2572, 2667, 2000, 4012, 22090, 2026, 2622, 1998, 1045, 2572, 2383, 1037, 2843, 1997, 3471, 2007, 1037, 2240, 1999, 1996, 15990, 18724, 5371, 1012, 1996, 7561, 4471, 3065, 2008, 2009, 2003, 3228, 10697, 1999, 1996, 15990, 18724, 5371, 1012, 3531, 2393, 2033, 9611, 2023, 3291, 1029, 3642, 1013, 1013, 2421, 20346, 6764, 1001, 2421, 1000, 2358, 2850, 2546, 2595, 1012, 1044, 1000, 1001, 2421, 1000, 26226, 1012, 1044, 1000, 1001, 2421, 1000, 2152, 25698, 1012, 1044, 1000, 1001, 2421, 1026, 2358, 20617, 1012, 1044, 1028, 1001, 2421, 1026, 2358, 19422, 12322, 1012, 1044, 1028, 1001, 2421, 1026, 5164, 1012, 1044, 1028, 1001, 2421, 1026, 20865, 1012, 1044, 1028, 1001, 2421, 1026, 8785, 1012, 1044, 1028, 1001, 2421, 1026, 14257, 1012, 1044, 1028, 1001, 2421, 1026, 6537, 1012, 1044, 1028, 1001, 2421, 1026, 2051, 1012, 1044, 1028, 1001, 2421, 1026, 14931, 18863, 1012, 1044, 1028, 1001, 2421, 1026, 16380, 25379, 1028, 1001, 2421, 1026, 1042, 21422, 1028, 1001, 2421, 1026, 9207, 1028, 2478, 3415, 15327, 2358, 2094, 1025, 1001, 2065, 3207, 2546, 1035, 1041, 2594, 1001, 9375, 2663, 16703, 1001, 2203, 10128, 20014, 4175, 12172, 2015, 1027, 1014, 1025, 20014, 16371, 2213, 12172, 2015, 1027, 1014, 1025, 20014, 1047, 1027, 1014, 1025, 20014, 2862, 1027, 1014, 1025, 25869, 5371, 9863, 1031, 24406, 1033, 1031, 24406, 1033, 1025, 20014, 2051, 3597, 16671, 1027, 1014, 1025, 10763, 26226, 4168, 5244, 4263, 4270, 1008, 5527, 1027, 1014, 1025, 10763, 26226, 3270, 2906, 26266, 18095, 15671, 21869, 1008, 16690, 1027, 1014, 1025, 11675, 11487, 1035, 1998, 1035, 4009, 1006, 12997, 17960, 4270, 1008, 3746, 1007, 1025, 11675, 4339, 22254, 2497, 1006, 1007, 1025, 20014, 2179, 1035, 2227, 1006, 12997, 17960, 4270, 1008, 10047, 2290, 1010, 26226, 8400, 13866, 2487, 1010, 26226, 8400, 13866, 2475, 1007, 1025, 20014, 7170, 1035, 16962, 1006, 25869, 1008, 5371, 18442, 1007, 1025, 9530, 3367, 25869, 1008, 16690, 1035, 2171, 1027, 1000, 1039, 1024, 1032, 1032, 2565, 6764, 1032, 1032, 2330, 2278, 2615, 1032, 1032, 2330, 2278, 2615, 2475, 1012, 1015, 1032, 1032, 2951, 1032, 1032, 5292, 2906, 15671, 21869, 2015, 1032, 1032, 5292, 2906, 15671, 21869, 1035, 19124, 12172, 1035, 12456, 1035, 3392, 1012, 20950, 1000, 1025, 1013, 1013, 4088, 2047, 3642, 1001, 9375, 4339, 17258, 8780, 25869, 1008, 6434, 17258, 8780, 1027, 1000, 1039, 1024, 1032, 1032, 2227, 1035, 10320, 2487, 1035, 12808, 1012, 20704, 2072, 1000, 1025, 1013, 1013, 20014, 2227, 3597, 16671, 1027, 1014, 1025, 20014, 13433, 19022, 16093, 7512, 1027, 2531, 1025, 20014, 29486, 24979, 3370, 1027, 2184, 1025, 1013, 1013, 5344, 2064, 4530, 2041, 2005, 2184, 11048, 20014, 2335, 15464, 2361, 1027, 1014, 1025, 14257, 2168, 12172, 10521, 4779, 28362, 22231, 6392, 1027, 2382, 1025, 1013, 1013, 22138, 3292, 26226, 8400, 2227, 26994, 2015, 1031, 2531, 1033, 1025, 20014, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 2531, 1033, 1025, 14257, 3292, 1006, 26226, 8400, 1037, 1010, 26226, 8400, 1038, 1007, 1063, 14257, 4487, 3367, 1027, 5490, 5339, 1006, 14257, 1006, 1006, 1037, 1012, 1060, 1011, 1038, 1012, 1060, 1007, 1008, 1006, 1037, 1012, 1060, 1011, 1038, 1012, 1060, 1007, 1009, 1006, 1037, 1012, 1061, 1011, 1038, 1012, 1061, 1007, 1008, 1006, 1037, 1012, 1061, 1011, 1038, 1012, 1061, 1007, 1007, 1007, 1025, 2709, 4487, 3367, 1025, 1065, 11675, 4654, 20781, 26994, 2015, 1006, 1007, 1063, 2005, 1006, 20014, 1045, 1027, 1014, 1025, 1045, 1026, 13433, 19022, 16093, 7512, 1025, 1045, 1009, 1009, 1007, 1063, 2065, 1006, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 1045, 1033, 1026, 1027, 1006, 2335, 15464, 2361, 1011, 29486, 24979, 3370, 1007, 1007, 1013, 1013, 2065, 1037, 12808, 13433, 2015, 2003, 3080, 2084, 2093, 11048, 1063, 2227, 26994, 2015, 1031, 1045, 1033, 1027, 26226, 8400, 1006, 25897, 1010, 25897, 1007, 1025, 1065, 1065, 1065, 11675, 10651, 3597, 16671, 2121, 1006, 26226, 8400, 2415, 1007, 1063, 22017, 2140, 2047, 12172, 1027, 2995, 1025, 2005, 1006, 20014, 1045, 1027, 1014, 1025, 1045, 1026, 13433, 19022, 16093, 7512, 1025, 1045, 1009, 1009, 1007, 1063, 2065, 1006, 3292, 1006, 2415, 1010, 2227, 26994, 2015, 1031, 1045, 1033, 1007, 1026, 2168, 12172, 10521, 4779, 28362, 22231, 6392, 1007, 1063, 2227, 26994, 2015, 1031, 1045, 1033, 1027, 2415, 1025, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 1045, 1033, 1027, 2335, 15464, 2361, 1025, 2047, 12172, 1027, 6270, 1025, 3338, 1025, 1065, 1065, 2065, 1006, 2047, 12172, 1007, 1063, 1013, 1013, 5245, 2041, 4587, 27080, 2005, 1006, 20014, 1045, 1027, 1015, 1025, 1045, 1026, 13433, 19022, 16093, 7512, 1025, 1045, 1009, 1009, 1007, 1063, 2227, 26994, 2015, 1031, 1045, 1033, 1027, 2227, 26994, 2015, 1031, 1045, 1011, 1015, 1033, 1025, 1065, 1013, 1013, 2404, 2047, 12808, 2597, 2006, 2327, 1997, 9991, 2227, 26994, 2015, 1031, 1014, 1033, 1027, 2415, 1025, 2227, 26994, 16643, 7834, 15464, 2361, 1031, 1014, 1033, 1027, 2335, 15464, 2361, 1025, 4175, 12172, 2015, 1009, 1009, 1025, 1065, 1065, 11675, 4009, 3597, 16671, 2121, 1006, 12997, 17960, 4270, 1008, 3746, 1007, 1063, 1013, 1013, 3443, 15489, 25869, 17698, 1031, 1019, 1033, 1025, 26226, 14876, 3372, 15489, 1025, 26226, 5498, 24475, 12162, 1006, 1004, 15489, 1010, 26226, 1035, 15489, 1035, 5106, 14844, 1035, 3722, 2595, 1010, 1012, 1019, 1010, 1012, 1019, 1010, 1014, 1010, 1015, 1007, 1025, 26226, 18780, 18209, 1006, 3746, 1010, 1000, 5344, 1024, 1000, 1010, 26226, 8400, 1006, 2322, 1010, 2322, 1007, 1010, 1004, 15489, 1010, 26226, 1035, 1054, 18259, 1006, 1014, 1010, 20637, 1010, 1014, 1007, 1007, 1025, 26226, 18780, 18209, 1006, 3746, 1010, 23333, 2050, 1006, 4175, 12172, 2015, 1010, 17698, 1010, 2184, 1007, 1010, 26226, 8400, 1006, 3770, 1010, 2322, 1007, 1010, 1004, 15489, 1010, 26226, 1035, 1054, 18259, 1006, 1014, 1010, 20637, 1010, 1014, 1007, 1007, 1025, 1065, 1001, 2065, 3207, 2546, 4339, 17258, 8780, 26226, 17258, 8780, 15994, 1008, 2678, 15994, 1027, 26226, 16748, 3686, 17258, 8780, 15994, 1006, 6434, 17258, 8780, 1010, 1011, 1015, 1010, 2382, 1010, 26226, 5332, 4371, 1006, 11212, 1010, 8380, 1007, 1007, 1025, 1001, 2203, 10128, 1013, 1013, 2203, 2047, 3642, 20014, 2364, 1006, 20014, 12098, 18195, 1010, 25869, 1008, 1008, 12098, 2290, 2615, 1007, 1063, 26226, 17695, 11244, 1008, 5425, 1027, 1014, 1025, 12997, 17960, 4270, 1008, 4853, 1010, 1008, 4853, 1035, 6100, 1027, 1014, 1025, 20014, 23569, 7770, 1027, 2358, 20927, 2078, 1006, 1000, 1011, 1011, 16690, 1027, 1000, 1007, 1025, 9530, 3367, 25869, 1008, 7953, 1035, 2171, 1025, 2065, 1006, 12098, 18195, 1028, 1015, 1004, 1004, 2358, 6826, 27487, 2361, 1006, 12098, 2290, 2615, 1031, 1015, 1033, 1010, 1000, 1011, 1011, 16690, 1027, 1000, 1010, 23569, 7770, 1007, 1027, 1027, 1014, 1007, 1063, 16690, 1035, 2171, 1027, 12098, 2290, 2615, 1031, 1015, 1033, 1009, 23569, 7770, 1025, 7953, 1035, 2171, 1027, 12098, 18195, 1028, 1016, 1029, 12098, 2290, 2615, 1031, 1016, 1033, 1024, 1014, 1025, 1065, 2842, 1063, 16690, 1035, 2171, 1027, 1000, 1039, 1024, 1032, 1032, 2565, 6764, 1032, 1032, 2330, 2278, 2615, 1032, 1032, 2330, 2278, 2615, 2475, 1012, 1015, 1032, 1032, 2951, 1032, 1032, 5292, 2906, 15671, 21869, 2015, 1032, 1032, 5292, 2906, 15671, 21869, 1035, 19124, 12172, 1035, 12456, 1035, 3392, 1012, 20950, 1000, 1025, 7953, 1035, 2171, 1027, 12098, 18195, 1028, 1015, 1029, 12098, 2290, 2615, 1031, 1015, 1033, 1024, 1014, 1025, 1065, 16690, 1027, 1006, 26226, 3270, 2906, 26266, 18095, 15671, 21869, 1008, 1007, 26226, 11066, 1006, 16690, 1035, 2171, 1010, 1014, 1010, 1014, 1010, 1014, 1007, 1025, 2065, 1006, 999, 16690, 1007, 1063, 1042, 16550, 2546, 1006, 2358, 4063, 2099, 1010, 1000, 7561, 1024, 2071, 2025, 7170, 2465, 18095, 16690, 1032, 1050, 1000, 1007, 1025, 1042, 16550, 2546, 1006, 2358, 4063, 2099, 1010, 1000, 8192, 1024, 4320, 12870, 6593, 1011, 1011, 16690, 1027, 1032, 1000, 1026, 16690, 1035, 4130, 1028, 1032, 1000, 1031, 5371, 18442, 1064, 4950, 1035, 5950, 1033, 1032, 1050, 1000, 1007, 1025, 2709, 1011, 1015, 1025, 1065, 5527, 1027, 26226, 16748, 3686, 4168, 5244, 4263, 4270, 1006, 1014, 1007, 1025, 1013, 1013, 2065, 1006, 999, 7953, 1035, 2171, 1064, 1064, 1006, 2003, 4305, 23806, 1006, 7953, 1035, 2171, 1031, 1014, 1033, 1007, 1004, 1004, 7953, 1035, 2171, 1031, 1015, 1033, 1027, 1027, 1005, 1032, 1014, 1005, 1007, 1007, 1013, 1013, 5425, 1027, 26226, 17695, 11244, 19699, 5358, 28727, 1006, 999, 7953, 1035, 2171, 1029, 1014, 1024, 7953, 1035, 2171, 1031, 1014, 1033, 1011, 1005, 1014, 1005, 1007, 1025, 1013, 1013, 2842, 5425, 1027, 26226, 17695, 11244, 19699, 9626, 5737, 1006, 1000, 1039, 1024, 1032, 1032, 2227, 1035, 10320, 2487, 1012, 20704, 2072, 1000, 1007, 1025, 26226, 18442, 2094, 11101, 5004, 1006, 1000, 2765, 1000, 1010, 1015, 1007, 1025, 2065, 1006, 5425, 1007, 1063, 2005, 1006, 1025, 1025, 1007, 1063, 2065, 1006, 999, 26226, 17643, 29292, 6444, 2063, 1006, 5425, 1007, 1007, 3338, 1025, 4853, 1027, 26226, 13465, 7373, 3726, 15643, 1006, 5425, 1007, 1025, 2065, 1006, 999, 4853, 1007, 3338, 1025, 2065, 1006, 999, 4853, 1035, 6100, 1007, 4853, 1035, 6100, 1027, 26226, 16748, 3686, 9581, 3351, 1006, 26226, 5332, 4371, 1006, 4853, 1011, 1028, 9381, 1010, 4853, 1011, 1028, 4578, 1007, 1010, 12997, 2140, 1035, 5995, 1035, 1022, 2226, 1010, 4853, 1011, 1028, 13316, 4819, 11877, 2015, 1007, 1025, 2065, 1006, 4853, 1011, 1028, 4761, 1027, 1027, 12997, 2140, 1035, 4761, 1035, 1056, 2140, 1007, 26226, 3597, 7685, 1006, 4853, 1010, 4853, 1035, 6100, 1010, 1014, 1007, 1025, 2842, 26226, 10258, 11514, 1006, 4853, 1010, 4853, 1035, 6100, 1010, 1014, 1007, 1025, 11487, 1035, 1998, 1035, 4009, 1006, 4853, 1035, 6100, 1007, 1025, 2065, 1006, 26226, 21547, 2102, 14839, 1006, 2382, 1007, 1028, 1027, 1014, 1007, 3338, 1025, 1065, 26226, 16570, 19500, 9581, 3351, 1006, 1004, 4853, 1035, 6100, 1007, 1025, 26226, 16570, 19500, 17695, 11244, 1006, 1004, 5425, 1007, 1025, 1065, 2842, 1063, 2065, 1006, 999, 7953, 1035, 2171, 1064, 1064, 1006, 2003, 4305, 23806, 1006, 7953, 1035, 2171, 1031, 1014, 1033, 1007, 1004, 1004, 7953, 1035, 2171, 1031, 1015, 1033, 1027, 1027, 1005, 1032, 1014, 1005, 1007, 1007, 26226, 18442, 2094, 11101, 5004, 1006, 1000, 2765, 1000, 1010, 1015, 1007, 1025, 9530, 3367, 25869, 1008, 5371, 18442, 1027, 7953, 1035, 2171, 1029, 7953, 1035, 2171, 1024, 1006, 25869, 1008, 1007, 1000, 14229, 1012, 16545, 2290, 1000, 1025, 12997, 17960, 4270, 1008, 3746, 1027, 26226, 11066, 9581, 3351, 1006, 5371, 18442, 1010, 1015, 1007, 1025, 2065, 1006, 3746, 1007, 1063, 11487, 1035, 1998, 1035, 4009, 1006, 3746, 1007, 1025, 26226, 21547, 2102, 14839, 1006, 1014, 1007, 1025, 26226, 16570, 19500, 9581, 3351, 1006, 1004, 3746, 1007, 1025, 1065, 2842, 1063, 1013, 1008, 7868, 2009, 2003, 1037, 3793, 5371, 4820, 1996, 2862, 1997, 1996, 3746, 5371, 18442, 2015, 2000, 2022, 13995, 1011, 2028, 2566, 2240, 1008, 1013, 5371, 1008, 1042, 1027, 1042, 26915, 1006, 5371, 18442, 1010, 1000, 19387, 1000, 1007, 1025, 2065, 1006, 1042, 1007, 1063, 25869, 20934, 2546, 1031, 6694, 1009, 1015, 1033, 1025, 2096, 1006, 1042, 18150, 2015, 1006, 20934, 2546, 1010, 6694, 1010, 1042, 1007, 1007, 1063, 20014, 18798, 1027, 1006, 20014, 1007, 2358, 20927, 2078, 1006, 20934, 2546, 1007, 1025, 2096, 1006, 18798, 1028, 1014, 1004, 1004, 26354, 15327, 1006, 20934, 2546, 1031, 18798, 1011, 1015, 1033, 1007, 1007, 18798, 1011, 1011, 1025, 20934, 2546, 1031, 18798, 1033, 1027, 1005, 1032, 1014, 1005, 1025, 3746, 1027, 26226, 11066, 9581, 3351, 1006, 20934, 2546, 1010, 1015, 1007, 1025, 2065, 1006, 3746, 1007, 1063, 11487, 1035, 1998, 1035, 4009, 1006, 3746, 1007, 1025, 26226, 21547, 2102, 14839, 1006, 1014, 1007, 1025, 26226, 16570, 19500, 9581, 3351, 1006, 1004, 3746, 1007, 1025, 1065, 1065, 4429, 10483, 2063, 1006, 1042, 1007, 1025, 1065, 1065, 1065, 26226, 6155, 13181, 2100, 11101, 5004, 1006, 1000, 2765, 1000, 1007, 1025, 1001, 2065, 3207, 2546, 4339, 17258, 8780, 26226, 16570, 19500, 17258, 8780, 15994, 1006, 1004, 2678, 15994, 1007, 1025, 1001, 2203, 10128, 2709, 1014, 1025, 1065, 11675, 11487, 1035, 1998, 1035, 4009, 1006, 12997, 17960, 4270, 1008, 10047, 2290, 1007, 1063, 10763, 26226, 15782, 8017, 6087, 1031, 1033, 1027, 1063, 1063, 1063, 1014, 1010, 1014, 1010, 20637, 1065, 1065, 1010, 1063, 1063, 1014, 1010, 11899, 1010, 20637, 1065, 1065, 1010, 1063, 1063, 1014, 1010, 20637, 1010, 20637, 1065, 1065, 1010, 1063, 1063, 1014, 1010, 20637, 1010, 1014, 1065, 1065, 1010, 1063, 1063, 20637, 1010, 11899, 1010, 1014, 1065, 1065, 1010, 1063, 1063, 20637, 1010, 20637, 1010, 1014, 1065, 1065, 1010, 1063, 1063, 20637, 1010, 1014, 1010 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 10514, 18098, 7113, 20746, 13502, 1996, 10514, 18098, 7113, 20746, 13502, 1006, 2365, 1007, 2003, 1037, 13502, 1997, 23848, 3630, 16882, 11265, 10976, 3366, 16748, 7062, 4442, 1999, 1996, 1044, 22571, 14573, 7911, 7606, 1997, 1996, 26524, 4167, 1012, 1996, 13502, 2003, 4350, 2012, 1996, 2918, 1997, 1996, 4167, 1010, 5516, 2000, 1996, 22816, 9610, 3022, 2213, 1012, 1999, 4286, 1010, 1996, 2365, 3397, 2055, 1017, 1010, 2199, 15698, 1012, 3853, 1996, 3526, 4230, 3965, 1996, 25117, 18714, 12436, 28793, 8303, 2378, 1010, 2029, 2003, 2036, 2124, 2004, 3424, 1011, 4487, 5397, 4588, 18714, 1006, 4748, 2232, 1007, 1012, 2023, 5072, 11981, 7930, 3081, 1996, 2668, 21422, 2000, 2049, 4539, 4442, 1999, 1996, 6643, 8197, 24435, 23245, 2015, 1999, 1996, 14234, 2015, 1010, 20226, 2300, 2128, 7875, 21748, 16790, 1012, 1999, 1996, 3526, 4230, 1010, 1996, 20752, 2024, 21972, 1999, 2312, 1010, 10804, 1011, 5391, 2310, 19570, 4244, 2008, 2024, 9687, 2091, 1996, 22260, 5644, 2000, 1996, 9113, 21306, 1012, 1996, 3595, 10253, 12604, 16308, 2024, 2036, 8250, 1999, 23730, 2247, 1996, 22260, 2239, 2170, 22103, 4230, 1012, 2714, 23848, 3630, 16882, 15698, 2024, 2036, 2179, 1999, 1996, 11498, 15338, 7277, 7934, 13502, 1012, 14828, 2169, 11265, 21017, 1999, 1996, 13502, 2038, 2028, 2146, 22260, 2239, 2008, 3934, 2000, 1996, 15219, 6770, 14663, 5649, 25320, 1010, 2073, 2009, 3957, 4125, 2000, 2055, 2184, 1010, 2199, 11265, 10976, 3366, 16748, 7062, 9113, 17703, 1012, 1996, 23848, 3630, 16882, 15698, 2024, 29103, 4654, 26243, 3085, 1024, 1999, 3433, 2000, 21358, 7512, 4765, 22239, 2013, 2060, 15698, 1010, 2027, 9699, 2895, 4022, 2015, 1010, 2029, 17678, 16098, 2618, 2091, 1996, 22260, 5644, 1012, 2043, 2019, 2895, 4022, 18445, 2015, 1037, 11265, 10976, 3366, 16748, 7062, 5536, 1010, 1996, 5536, 2003, 2139, 18155, 23061, 2098, 1010, 1998, 13853, 8039, 1996, 5536, 2083, 10004, 1011, 4796, 2094, 6833, 1012, 1996, 13853, 4443, 27099, 1996, 3595, 3258, 1997, 2070, 1997, 1996, 2310, 19570, 4244, 2011, 1037, 2832, 2124, 2004, 4654, 10085, 22123, 12650, 1012, 1996, 2310, 19570, 2571, 8417, 2024, 2207, 2046, 1996, 4469, 16882, 2686, 1010, 2013, 2073, 2027, 28105, 2046, 1996, 2668, 21422, 1012, 7816, 1997, 10514, 18098, 7113, 20746, 15698, 12436, 28793, 8303, 2378, 1006, 3424, 4305, 5397, 4588, 18714, 1010, 4748, 2232, 1007, 2003, 2207, 1999, 3433, 2000, 14017, 10421, 6693, 1999, 1996, 2668, 1010, 10548, 2668, 3872, 1010, 2030, 2668, 3778, 1012, 2070, 2060, 20407, 2272, 2013, 1996, 14332, 18532, 1010, 2164, 2013, 2070, 1997, 1996, 12306, 16200, 3678, 12863, 15698, 1997, 1996, 13502, 1997, 1996, 14348, 12859, 1998, 1996, 18834, 13153, 24932, 2389, 19960, 22187, 1012, 2174, 1010, 2116, 1997, 1996, 3622, 20407, 2000, 1996, 10514, 18098, 7113, 20746, 13502, 2272, 2013, 15698, 2074, 2648, 1996, 13502, 1006, 1996, 1000, 2566, 2378, 14194, 19738, 2099, 4224, 1000, 1007, 1012, 1997, 1996, 21358, 7512, 4765, 20407, 2000, 1996, 10514, 18098, 7113, 20746, 13502, 1010, 2087, 5383, 2593, 1996, 24054, 2100, 11265, 10976, 6494, 3619, 22930, 3334, 11721, 3676, 2030, 1996, 4654, 26243, 14049, 11265, 10976, 6494, 3619, 22930, 3334, 1043, 7630, 28282, 2618, 1010, 2021, 2122, 26288, 2411, 2522, 1011, 4839, 2007, 2536, 25117, 2015, 1012, 2060, 21358, 7512, 4765, 11265, 10976, 6494, 3619, 22930, 7747, 2421, 12306, 16200, 12032, 3170, 1006, 2013, 1996, 14332, 18532, 1007, 1010, 2079, 4502, 11233, 1010, 14262, 25862, 2378, 1010, 1998, 9078, 3723, 29358, 18861, 2063, 1012, 1996, 10514, 18098, 7113, 20746, 13502, 2004, 1037, 1000, 2944, 2291, 1000, 1996, 10514, 18098, 7113, 20746, 13502, 2003, 2019, 2590, 1000, 2944, 2291, 1000, 1999, 23700, 1012, 2045, 2024, 2116, 4436, 2005, 2023, 1024, 2070, 4087, 12637, 1997, 2551, 2006, 1996, 10514, 18098, 7113, 20746, 13502, 2024, 2008, 1996, 3526, 4230, 2024, 4659, 2312, 1010, 1996, 4442, 2191, 17077, 2312, 8310, 1997, 2037, 3595, 10253, 3688, 1010, 1998, 1996, 13502, 2003, 4659, 24854, 1998, 3733, 2000, 3584, 2013, 2060, 4167, 4655, 1012, 1996, 4962, 3670, 1998, 5992, 4023, 1997, 10514, 18098, 7113, 20746, 15698, 2038, 2042, 3273, 8077, 1010, 1999, 2116, 19389, 1998, 6388, 3785, 1012, 2122, 2913, 2031, 2419, 2000, 2116, 20062, 1997, 2236, 5197, 1010, 2004, 1999, 1996, 4973, 2917, 1012, 24012, 6081, 3012, 1999, 1996, 10514, 18098, 7113, 20746, 13502, 28141, 2913, 2478, 10496, 29105, 2031, 3491, 2008, 1996, 19476, 1997, 1996, 10514, 18098, 7113, 20746, 13502, 2003, 17431, 15581, 3085, 1012, 2005, 2742, 1010, 2076, 18749, 12516, 2045, 2024, 2312, 3431, 1999, 1996, 2946, 1998, 4338, 1997, 1996, 23060, 22123, 10085, 2378, 15698, 1010, 1999, 1996, 3616, 1998, 4127, 1997, 19962, 9331, 8583, 2008, 2122, 15698, 4374, 1010, 1998, 1999, 1996, 8332, 6550, 2090, 15698, 1998, 1043, 6632, 2140, 4442, 1999, 1996, 13502, 1012, 2122, 3431, 13368, 2076, 2112, 9496, 3508, 1010, 1998, 2024, 2245, 2000, 2022, 2590, 17241, 2008, 7374, 1996, 23060, 22123, 10085, 2378, 15698, 2005, 1037, 8760, 2152, 5157, 2005, 23060, 22123, 10085, 2378, 1012, 23060, 22123, 10085, 2378, 2003, 6827, 2005, 6501, 2292, 1011, 2091, 1999, 3433, 2000, 11891, 2989, 1012, 2122, 2913, 3662, 2008, 1996, 4167, 2003, 2172, 2062, 1000, 6081, 1000, 1999, 2049, 13336, 2084, 3130, 3858, 1010, 1998, 2419, 2000, 2307, 3037, 1999, 1996, 10266, 2090, 1043, 6632, 2140, 4442, 1998, 15698, 1999, 2236, 1012, 19220, 1011, 3595, 3258, 19780, 1999, 3433, 2000, 1010, 2005, 6013, 1010, 1037, 4125, 1999, 1996, 12123, 13365, 6693, 1010, 12436, 28793, 8303, 2378, 15698, 2036, 11889, 2895, 4022, 2015, 1999, 19239, 1010, 2021, 2122, 19239, 2024, 2172, 2936, 1998, 2024, 2625, 6387, 2084, 1996, 19239, 6913, 2011, 23060, 22123, 10085, 2378, 15698, 1010, 1998, 1996, 19239, 1999, 12436, 28793, 8303, 2378, 4442, 2024, 2025, 26351, 8093, 27296, 2098, 1012, 2009, 2790, 4326, 2008, 1996, 12436, 28793, 8303, 2378, 4442, 2323, 2543, 1999, 19239, 1012, 2004, 1996, 4023, 1997, 1996, 12436, 28793, 8303, 2378, 4442, 2003, 2025, 26351, 8093, 27296, 2098, 1010, 1996, 3452, 2504, 1997, 12436, 28793, 8303, 2378, 3595, 3258, 2046, 1996, 2668, 2003, 7142, 1010, 2025, 16405, 4877, 10450, 2571, 1012, 2957, 1040, 2100, 7384, 1998, 2010, 2522, 1011, 3667, 15520, 2008, 2023, 5418, 1997, 4023, 1010, 2170, 1000, 6887, 21369, 2278, 7493, 1000, 1010, 2453, 2022, 3391, 4621, 2005, 4786, 12436, 28793, 8303, 2378, 3595, 3258, 1012, 2027, 3662, 2023, 2000, 2022, 1996, 2553, 2011, 5702, 12436, 28793, 8303, 2378, 3595, 3258, 2013, 1996, 7275, 15219, 6770, 14663, 5649, 25320, 1999, 25714, 1012, 2027, 2179, 2008, 12436, 28793, 8303, 2378, 3595, 3258, 2071, 2022, 23408, 23461, 2011, 5992, 19220, 23894, 4162, 2000, 1996, 25320, 1010, 1998, 2008, 2172, 2062, 18714, 2001, 2207, 2011, 1037, 6887, 21369, 2278, 5418, 1997, 20858, 2084, 2011, 1037, 7142, 5418, 1997, 20858, 1012, 2122, 7885, 2419, 2000, 3037, 1999, 1000, 19220, 1011, 3595, 3258, 19780, 1000, 1011, 1996, 3276, 2090, 5992, 4023, 1998, 3595, 3258, 1012, 10514, 18098, 7113, 20746, 15698, 2024, 5866, 2138, 1997, 1996, 2312, 8310, 1997, 25117, 2008, 2027, 3595, 2063, 1010, 1998, 2138, 2027, 3595, 2063, 1996, 25117, 2015, 2046, 1996, 2668, 1012, 2174, 1010, 2116, 15698, 1999, 1996, 4167, 1010, 1998, 2926, 1999, 1996, 1044, 22571, 14573, 7911, 7606, 1010, 24203, 2229, 4697, 25117, 2015, 1012, 2009, 2003, 2085, 2245, 2008, 19239, 1997, 5992, 4023, 2453, 2022, 3227, 2590, 2005, 8287, 2312, 8310, 1997, 25117, 2013, 25117, 1011, 3595, 2075, 15698, 1012, 7939, 13626, 18291, 3595, 3258, 10514, 18098, 7113, 20746, 15698, 2031, 4050, 1015, 1011, 1017, 2312, 7939, 13626, 7616, 1010, 2087, 1997, 2029, 18398, 23420, 2135, 2000, 2433, 1037, 13523, 1997, 2832, 2012, 1996, 2918, 1997, 1996, 13502, 1010, 2170, 1996, 23420, 1043, 6632, 2140, 16983, 3981, 1012, 1996, 7939, 13626, 7616, 4374, 2087, 1997, 1996, 19962, 9331, 4588, 17703, 2013, 21358, 7512, 4765, 15698, 2008, 15176, 1996, 10514, 18098, 7113, 20746, 15698, 1010, 2021, 11265, 21017, 2389, 7939, 13626, 7616, 2024, 2411, 8851, 2920, 1999, 2592, 6364, 1010, 2738, 2084, 2108, 3432, 13135, 19278, 1997, 2592, 1012, 1996, 7939, 13626, 7616, 1997, 10514, 18098, 7113, 20746, 15698, 5383, 2312, 3616, 1997, 11265, 10976, 3366, 16748, 7062, 2310, 19570, 4244, 2008, 5383, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 1010, 1998, 2027, 2064, 2022, 2207, 2013, 1996, 7939, 13626, 7616, 2011, 4654, 10085, 22123, 12650, 1012, 1996, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 2008, 2003, 2207, 2012, 1996, 15219, 6770, 14663, 5649, 25320, 8039, 1996, 2668, 1010, 1998, 3685, 2128, 1011, 4607, 1996, 4167, 2138, 1996, 2668, 1516, 4167, 8803, 2515, 2025, 3499, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 2083, 1010, 2021, 1996, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 2008, 2003, 2207, 2013, 7939, 13626, 7616, 4490, 2306, 1996, 4167, 1012, 23060, 22123, 10085, 2378, 15698, 3209, 4671, 23060, 22123, 10085, 2378, 13833, 1010, 1998, 12436, 28793, 8303, 2378, 15698, 4671, 12436, 28793, 8303, 2378, 13833, 1010, 2061, 7939, 13626, 26116, 2135, 1011, 2207, 25117, 2015, 1000, 8285, 2890, 24848, 3686, 1000, 1996, 10514, 18098, 7113, 20746, 15698, 1012, 28979, 9587, 2891, 1998, 10852, 2063, 2957, 2034, 3662, 2008, 1996, 8285, 2890, 24848, 14049, 2895, 1997, 23060, 22123, 10085, 2378, 2003, 2590, 2005, 1996, 6501, 1011, 1041, 20614, 3258, 22259, 1012, 2122, 25117, 2015, 2031, 4659, 2146, 2431, 1011, 3268, 1999, 1996, 4167, 1006, 2055, 2322, 2781, 1999, 1996, 20116, 2546, 1007, 1010, 1998, 2027, 2024, 2207, 1999, 2312, 8310, 1999, 1996, 10514, 18098, 7113, 20746, 13502, 1010, 1998, 2061, 2027, 2024, 2800, 2000, 28105, 2083, 1996, 4469, 16882, 7258, 1997, 1996, 4167, 2000, 2552, 2012, 6802, 7889, 1012, 23060, 22123, 10085, 2378, 1998, 12436, 28793, 8303, 2378, 13833, 2024, 2556, 1999, 2116, 2060, 4167, 4655, 1010, 2164, 1996, 6864, 2290, 9305, 2050, 1010, 14332, 18532, 1010, 1998, 17419, 2819, 1010, 2004, 2092, 2004, 2087, 23767, 1999, 1996, 1044, 22571, 14573, 7911, 7606, 1012, 2138, 2061, 2172, 12436, 28793, 8303, 2378, 1998, 23060, 22123, 10085, 2378, 2024, 2207, 2012, 2023, 2609, 1010, 2913, 1997, 1996, 10514, 18098, 7113, 20746, 13502, 2031, 2081, 2019, 2590, 6691, 2000, 4824, 2129, 2713, 2013, 7939, 13626, 7616, 2003, 12222, 1010, 1998, 1999, 4824, 2049, 19389, 7784, 1012, 2913, 2031, 7645, 2008, 3595, 2378, 7126, 2000, 10956, 7939, 13626, 18291, 23060, 22123, 10085, 2378, 2713, 1999, 1996, 2365, 1010, 1998, 2008, 3595, 2378, 3447, 2046, 1996, 2365, 11598, 2015, 2591, 5038, 1999, 28156, 1012, 2023, 9412, 2591, 10673, 3544, 2000, 2022, 2551, 2083, 3595, 2378, 1005, 1055, 3896, 2006, 23060, 22123, 10085, 2378, 15698, 1999, 1996, 2365, 1010, 2004, 10851, 23060, 22123, 10085, 2378, 13833, 1999, 2023, 2555, 5991, 2591, 5038, 1012, 2522, 1011, 4493, 25117, 2015, 12436, 28793, 8303, 2378, 15698, 1998, 23060, 22123, 10085, 2378, 15698, 2191, 2116, 2060, 11265, 10976, 19620, 13978, 1999, 2804, 2000, 12436, 28793, 8303, 2378, 1998, 23060, 22123, 10085, 2378, 1010, 2295, 2087, 2024, 2556, 2069, 1999, 2235, 12450, 1012, 2174, 1010, 2070, 1997, 2122, 2060, 13978, 2024, 2124, 2000, 2022, 2590, 1012, 1040, 6038, 2953, 21850, 2078, 2550, 2011, 12436, 28793, 8303, 2378, 15698, 2003, 2920, 1999, 21575, 1996, 6887, 21369, 2278, 11889, 5418, 2075, 1997, 12436, 28793, 8303, 2378, 15698, 1010, 1998, 9152, 12412, 15772, 2550, 2011, 2119, 11265, 21017, 2389, 4127, 2003, 1037, 4997, 1011, 12247, 21618, 1997, 3526, 4023, 1012, 23060, 22123, 10085, 2378, 15698, 2036, 2191, 1040, 6038, 2953, 21850, 2078, 1025, 1999, 2122, 15698, 1010, 1040, 6038, 2953, 21850, 2078, 4490, 2012, 1996, 9113, 17703, 1999, 1996, 15219, 6770, 14663, 5649, 2004, 1037, 4997, 12247, 24054, 1997, 23060, 22123, 10085, 2378, 3595, 3258, 1012, 23060, 22123, 10085, 2378, 15698, 2036, 2191, 2312, 8310, 1997, 16480, 2571, 5666, 16033, 4939, 2378, 2004, 2092, 2004, 1996, 16034, 1998, 23713, 27065, 19915, 10738, 24051, 1006, 11122, 1007, 1012, 2156, 2036, 11498, 15338, 7277, 7934, 13502, 7604, 6327, 6971, 4696, 1024, 11265, 10976, 10497, 10085, 17815, 6483, 4696, 1024, 1044, 22571, 14573, 7911, 7606, 102 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1053, 1024, 4039, 2000, 16500, 1054, 19894, 17603, 2015, 4160, 2140, 7427, 1999, 1054, 2996, 2006, 9358, 2891, 1021, 1045, 5361, 2695, 17603, 2015, 4160, 2140, 1023, 1012, 1020, 2007, 2695, 17701, 1016, 1012, 1017, 2478, 2028, 11562, 16500, 2121, 1997, 6960, 16962, 2800, 2182, 2006, 2026, 9358, 2891, 1021, 1006, 1060, 21084, 1007, 11603, 2241, 3698, 1012, 2085, 1045, 2572, 2667, 2000, 7532, 1054, 2996, 2000, 2695, 17603, 2015, 1012, 2000, 2079, 2061, 1010, 1045, 2699, 2000, 16500, 1054, 19894, 17603, 2015, 4160, 2140, 7427, 1999, 1054, 2996, 2021, 1045, 2572, 2893, 2206, 7561, 1024, 1028, 16500, 1012, 14555, 1006, 1000, 1054, 19894, 17603, 2015, 4160, 2140, 1000, 1007, 23658, 7427, 2046, 1520, 1013, 2188, 1013, 1046, 2243, 1013, 1054, 1013, 1060, 20842, 1035, 4185, 1011, 2417, 12707, 1011, 11603, 1011, 27004, 1011, 3075, 1013, 1017, 1012, 1017, 1521, 1006, 2004, 1520, 5622, 2497, 1521, 2003, 25851, 1007, 2667, 24471, 2140, 1005, 16770, 1024, 1013, 1013, 13675, 2319, 1012, 12667, 8525, 20617, 1012, 4012, 1013, 5034, 2278, 1013, 9530, 18886, 2497, 1013, 1054, 19894, 17603, 2015, 4160, 2140, 1035, 1014, 1012, 1018, 1011, 1015, 1012, 16985, 1012, 1043, 2480, 1005, 4180, 2828, 1005, 4242, 1005, 3091, 4700, 2575, 11387, 2549, 27507, 1006, 4805, 2629, 21677, 1007, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 22817, 4805, 2629, 21677, 1008, 23658, 1008, 3120, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 1012, 1012, 1012, 1008, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 5147, 4895, 23947, 2098, 1998, 9108, 2629, 20571, 7039, 9361, 2005, 1043, 9468, 1012, 1012, 1012, 1043, 9468, 9361, 2005, 1039, 21624, 12398, 6434, 5371, 2171, 1012, 1012, 1012, 1037, 1012, 2041, 9361, 3251, 1996, 1039, 21624, 2573, 1012, 1012, 1012, 2748, 9361, 3251, 2057, 2024, 2892, 21953, 1012, 1012, 1012, 2053, 9361, 2005, 16809, 1997, 4654, 8586, 23056, 2015, 1012, 1012, 1012, 9361, 2005, 16809, 1997, 4874, 6764, 1012, 1012, 1012, 1051, 9361, 3251, 2057, 2024, 2478, 1996, 27004, 1039, 21624, 1012, 1012, 1012, 2748, 9361, 3251, 1043, 9468, 13385, 1011, 1043, 1012, 1012, 1012, 2748, 9361, 2005, 1043, 9468, 5724, 2000, 5138, 11163, 1039, 2620, 2683, 1012, 1012, 1012, 3904, 2734, 9361, 3857, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 3677, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 4539, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 2005, 18720, 1035, 9530, 8873, 2290, 1012, 1012, 1012, 2053, 9530, 8873, 27390, 2063, 1024, 9361, 2005, 2695, 17603, 2015, 4160, 2140, 20346, 6764, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2421, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 18720, 2015, 4160, 2140, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 2149, 2099, 1013, 2334, 1013, 2695, 17603, 2015, 4160, 2140, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2421, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2334, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2334, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 23569, 1013, 2334, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 2620, 2549, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 25430, 1013, 23569, 1013, 2695, 17603, 2015, 4160, 2140, 1011, 1022, 1012, 1018, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 3075, 1013, 2695, 17603, 13102, 7393, 1013, 1022, 1012, 1018, 4757, 1013, 2421, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 2421, 1013, 25430, 1013, 2421, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 5622, 2497, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 5622, 2497, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 18720, 2015, 4160, 2140, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 2149, 2099, 1013, 2334, 1013, 2695, 17603, 2015, 4160, 2140, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 5622, 2497, 1013, 18720, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 2334, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 2334, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 23569, 1013, 2334, 1013, 5622, 2497, 1013, 2695, 17603, 2015, 4160, 2140, 2620, 2549, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 25430, 1013, 23569, 1013, 2695, 17603, 2015, 4160, 2140, 1011, 1022, 1012, 1018, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 3075, 1013, 2695, 17603, 13102, 7393, 1013, 1022, 1012, 1018, 4757, 1013, 5622, 2497, 1012, 9530, 8873, 27390, 2063, 1024, 9361, 5622, 2497, 1013, 25430, 1013, 5622, 2497, 1012, 9361, 2005, 1000, 1013, 5622, 2497, 2361, 4160, 1011, 10768, 1012, 1044, 1000, 1012, 1012, 1012, 2053, 9530, 8873, 27390, 2063, 1024, 4526, 1012, 1013, 9530, 8873, 2290, 1012, 3570, 9530, 8873, 2290, 1012, 3570, 1024, 4526, 5034, 2278, 1013, 2191, 10755, 2015, 1008, 1008, 5622, 5910, 1043, 9468, 1011, 1049, 21084, 1011, 2358, 2094, 1027, 27004, 2683, 2683, 1011, 1045, 1013, 2149, 2099, 1013, 2421, 1013, 1054, 1011, 1040, 13629, 8569, 2290, 1011, 1045, 1011, 1045, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1011, 1042, 24330, 1011, 1051, 2475, 1011, 1043, 1011, 8667, 1011, 2813, 1011, 1059, 2361, 1010, 1011, 1040, 1035, 3481, 8757, 1035, 3120, 1027, 1016, 1011, 10768, 2595, 24422, 2015, 1011, 1042, 9153, 3600, 1011, 16167, 1011, 2844, 1011, 1011, 11498, 2213, 1027, 7020, 2361, 1011, 17698, 1011, 2946, 1027, 1018, 1011, 18180, 4103, 1011, 1043, 9468, 1011, 15924, 1011, 1049, 21084, 1011, 11047, 9816, 1027, 12391, 1011, 1039, 12667, 1011, 16962, 2072, 1012, 1039, 1011, 1051, 12667, 1011, 16962, 2072, 1012, 1051, 1043, 9468, 1011, 1049, 21084, 1011, 2358, 2094, 1027, 27004, 2683, 2683, 1011, 1045, 1013, 2149, 2099, 1013, 2421, 1013, 1054, 1011, 1040, 13629, 8569, 2290, 1011, 1045, 1011, 1045, 1013, 2149, 2099, 1013, 2334, 1013, 2421, 1011, 1042, 24330, 1011, 1051, 2475, 1011, 1043, 1011, 8667, 1011, 2813, 1011, 1059, 2361, 1010, 1011, 1040, 1035, 3481, 8757, 1035, 3120, 1027, 1016, 1011, 10768, 2595, 24422, 2015, 1011, 1042, 9153, 3600, 1011, 16167, 1011, 2844, 1011, 1011, 11498, 2213, 1027, 7020, 2361, 1011, 17698, 1011, 2946, 1027, 1018, 1011, 18180, 4103, 1011, 1043, 9468, 1011, 15924, 1011, 1049, 21084, 1011, 11047, 9816, 1027, 12391, 1011, 1039, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1039, 1011, 1051, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1051, 1999, 5371, 2443, 2013, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1039, 1024, 1021, 1024, 1014, 1024, 12667, 1011, 2695, 17603, 2015, 4160, 2140, 1012, 1044, 1024, 2603, 1024, 2656, 1024, 10611, 7561, 1024, 5622, 2497, 2361, 4160, 1011, 10768, 1012, 1044, 1024, 2053, 2107, 5371, 2030, 14176, 1001, 2421, 1000, 5622, 2497, 2361, 4160, 1011, 10768, 1012, 1044, 1000, 1034, 6268, 12527, 1012, 2191, 1024, 1008, 1008, 1008, 1031, 12667, 1011, 1052, 4160, 2229, 19464, 1012, 1051, 1033, 7561, 1015, 7561, 1024, 6268, 3478, 2005, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 1008, 9268, 1520, 1013, 2188, 1013, 1046, 2243, 1013, 1054, 1013, 1060, 20842, 1035, 4185, 1011, 2417, 12707, 1011, 11603, 1011, 27004, 1011, 3075, 1013, 1017, 1012, 1017, 1013, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 5432, 1999, 16500, 1012, 14555, 1024, 8272, 1997, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 2018, 2512, 1011, 5717, 6164, 3570, 1996, 8272, 14176, 1997, 2695, 17603, 2015, 4160, 2140, 1023, 1012, 1020, 2003, 1013, 23569, 1013, 2695, 17603, 2015, 4160, 2140, 1013, 1023, 1012, 1020, 1013, 8026, 2029, 2987, 1005, 1056, 4025, 2000, 2022, 1999, 1996, 7561, 2682, 1012, 2071, 2619, 2393, 2033, 2000, 10663, 2023, 7561, 1029, 10086, 1015, 1024, 4283, 2000, 1996, 10293, 1997, 1030, 13697, 9103, 8737, 2121, 1010, 1045, 2288, 9436, 1997, 2682, 7561, 1012, 2021, 2085, 2893, 2023, 7561, 2029, 3065, 2070, 4394, 16129, 6971, 1012, 1028, 16500, 1012, 14555, 1006, 1000, 1054, 19894, 17603, 2015, 4160, 2140, 1000, 1007, 23658, 7427, 2046, 1520, 1013, 2188, 1013, 1046, 2243, 1013, 1054, 1013, 1060, 20842, 1035, 4185, 1011, 2417, 12707, 1011, 11603, 1011, 27004, 1011, 3075, 1013, 1017, 1012, 1017, 1521, 1006, 2004, 1520, 5622, 2497, 1521, 2003, 25851, 1007, 2667, 24471, 2140, 1005, 16770, 1024, 1013, 1013, 13675, 2319, 1012, 12667, 8525, 20617, 1012, 4012, 1013, 5034, 2278, 1013, 9530, 18886, 2497, 1013, 1054, 19894, 17603, 2015, 4160, 2140, 1035, 1014, 1012, 1018, 1011, 1015, 1012, 16985, 1012, 1043, 2480, 1005, 4180, 2828, 1005, 4242, 1005, 3091, 4700, 2575, 11387, 2549, 27507, 1006, 4805, 2629, 21677, 1007, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 22817, 4805, 2629, 21677, 1008, 23658, 1008, 3120, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 1012, 1012, 1012, 1008, 1008, 7427, 1520, 1054, 19894, 17603, 2015, 4160, 2140, 1521, 5147, 4895, 23947, 2098, 1998, 9108, 2629, 20571, 7039, 9361, 2005, 1043, 9468, 1012, 1012, 1012, 1043, 9468, 9361, 2005, 1039, 21624, 12398, 6434, 5371, 2171, 1012, 1012, 1012, 1037, 1012, 2041, 9361, 3251, 1996, 1039, 21624, 2573, 1012, 1012, 1012, 2748, 9361, 3251, 2057, 2024, 2892, 21953, 1012, 1012, 1012, 2053, 9361, 2005, 16809, 1997, 4654, 8586, 23056, 2015, 1012, 1012, 1012, 9361, 2005, 16809, 1997, 4874, 6764, 1012, 1012, 1012, 1051, 9361, 3251, 2057, 2024, 2478, 1996, 27004, 1039, 21624, 1012, 1012, 1012, 2748, 9361, 3251, 1043, 9468, 13385, 1011, 1043, 1012, 1012, 1012, 2748, 9361, 2005, 1043, 9468, 5724, 2000, 5138, 11163, 1039, 2620, 2683, 1012, 1012, 1012, 3904, 2734, 9361, 3857, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 3677, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 4539, 2291, 2828, 1012, 1012, 1012, 1060, 20842, 1035, 4185, 1011, 4242, 1011, 11603, 1011, 27004, 9361, 2005, 18720, 1035, 9530, 8873, 2290, 1012, 1012, 1012, 2053, 9530, 8873, 27390, 2063, 1024, 9361, 2005, 2695, 17603, 2015, 4160, 2140, 20346, 6764, 9530, 8873, 27390, 2063, 1024 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 14684, 14075, 9594, 3762, 5785, 19031, 13046, 18452, 2079, 2017, 3342, 1996, 6429, 14684, 14075, 9594, 3762, 19817, 16093, 28331, 2013, 1037, 3204, 2030, 2061, 3283, 1029, 1996, 19817, 16093, 28331, 2008, 1045, 13405, 2044, 2026, 5440, 3256, 6949, 1997, 2035, 2051, 1516, 3841, 1004, 6128, 1521, 1055, 14684, 14075, 9594, 3762, 1029, 2005, 2216, 1997, 2017, 2040, 2089, 2025, 2031, 2657, 1997, 2009, 1010, 14684, 14075, 9594, 3762, 3774, 1997, 21161, 3256, 6949, 16480, 3600, 2440, 1997, 21443, 12136, 1011, 3561, 1010, 7967, 1011, 3139, 3653, 23102, 4877, 1012, 2009, 2288, 2033, 2083, 2267, 1010, 1998, 1045, 2145, 2064, 1521, 1056, 2131, 2438, 1997, 2008, 14894, 5257, 2000, 2023, 2154, 1012, 2445, 2129, 2172, 1045, 3866, 1996, 19817, 16093, 28331, 1010, 1998, 2129, 2172, 2017, 2035, 2056, 2017, 3866, 1996, 19817, 16093, 28331, 1010, 1045, 2318, 14332, 20654, 2075, 2055, 2060, 2477, 2008, 1045, 2071, 2404, 1037, 14684, 14075, 9594, 3762, 6714, 2006, 1998, 2234, 2039, 2007, 2122, 21443, 12136, 1011, 3653, 23102, 2140, 5785, 19031, 13046, 18452, 9370, 2007, 7967, 1012, 2831, 2055, 26855, 2075, 999, 3180, 5785, 19031, 13046, 18452, 2131, 2070, 21443, 12136, 2794, 2000, 1996, 12501, 9409, 9067, 8261, 2015, 1010, 1998, 2059, 1999, 2173, 1997, 2070, 1997, 1996, 5785, 19031, 13046, 1010, 2017, 5587, 4109, 1997, 10560, 2039, 3653, 23102, 4877, 1010, 1998, 1045, 4711, 1999, 2070, 21443, 12136, 11772, 2005, 2130, 2062, 21443, 12136, 14894, 1012, 2059, 1010, 1997, 2607, 1010, 2027, 2024, 9370, 2007, 7967, 1012, 2065, 2017, 2215, 2000, 2039, 1996, 7967, 5387, 1010, 2017, 2071, 2467, 5466, 2070, 7967, 11772, 1999, 2007, 1996, 21443, 12136, 11772, 1006, 2030, 19948, 2068, 1007, 1012, 1045, 2228, 2122, 2031, 2019, 12476, 5703, 1997, 2035, 2093, 26389, 1010, 1998, 2064, 1521, 1056, 2644, 5983, 2068, 1012, 2348, 2008, 1521, 1055, 2025, 9352, 11341, 2144, 1045, 2572, 1037, 4121, 5470, 2005, 5785, 19031, 13046, 18452, 1998, 2572, 2467, 1037, 26476, 2005, 2151, 4569, 8386, 2006, 1996, 4438, 17974, 1012, 2079, 2017, 2031, 1037, 5440, 2544, 1997, 5785, 19031, 13046, 18452, 1029, 1045, 2467, 2293, 4531, 2047, 9903, 999, 7826, 1024, 1015, 1012, 21956, 1037, 1023, 2595, 17134, 1011, 4960, 21522, 9841, 1025, 2275, 4998, 1012, 1016, 1012, 14899, 1996, 12136, 1999, 1037, 2312, 12901, 9739, 2058, 2659, 3684, 1012, 5587, 1996, 9409, 9067, 8261, 2015, 1998, 16130, 2127, 3294, 12501, 1012, 6366, 2013, 3684, 1012, 1017, 1012, 2125, 1996, 3684, 1010, 5587, 1996, 21443, 12136, 1998, 16130, 2127, 3294, 12501, 1998, 5744, 1012, 5587, 1996, 5785, 19031, 13046, 20943, 1010, 3653, 23102, 2140, 4109, 1998, 21443, 12136, 11772, 1010, 18385, 5251, 2127, 2035, 4318, 12760, 2024, 15026, 1012, 2735, 1996, 8150, 2046, 1996, 4810, 21522, 9841, 1998, 2811, 2009, 2046, 1996, 6090, 1010, 4526, 2019, 2130, 2327, 1012, 1018, 1012, 18302, 1996, 7967, 11772, 2006, 2753, 1003, 2373, 1999, 2382, 1011, 2117, 14025, 1010, 18385, 2044, 2169, 1010, 2127, 3294, 12501, 1998, 5744, 1012, 10364, 1996, 7967, 2058, 1996, 18452, 1998, 3659, 1999, 2019, 2130, 6741, 2007, 2019, 16396, 14690, 7068, 1012, 2292, 4658, 2012, 2282, 4860, 2127, 2275, 1010, 2055, 1015, 3178, 1012, 1006, 2017, 2064, 2036, 25416, 3089, 4590, 3686, 1996, 18452, 2005, 2055, 2382, 2781, 2000, 3177, 2039, 1996, 2832, 1012, 1007, 3573, 2187, 24302, 2012, 2282, 4860, 1999, 2019, 2250, 26143, 11661, 1012, 6079, 7928, 2265, 2033, 1024, 7928, 2122, 2298, 25933, 11057, 16103, 3070, 1012, 1045, 2228, 11281, 5785, 19031, 14756, 18452, 2024, 3352, 1037, 2518, 1012, 1045, 1521, 2310, 2042, 2852, 13669, 2075, 2058, 1037, 14418, 10199, 6097, 8447, 10092, 5785, 19031, 14756, 7438, 1045, 2387, 2006, 1037, 9927, 1037, 2261, 2420, 3283, 1010, 1998, 2085, 1045, 1521, 1049, 11821, 3436, 2122, 2004, 2092, 999, 2034, 2051, 1010, 2146, 2051, 100, 2115, 14684, 14075, 9594, 3762, 19031, 13046, 2614, 2307, 1012, 2031, 2017, 2657, 1997, 7733, 3347, 14704, 1029, 2009, 2003, 2242, 1997, 2019, 5145, 2182, 1999, 2660, 1010, 1037, 2053, 8670, 3489, 14704, 2241, 2006, 5785, 17255, 1006, 19031, 13046, 1007, 1998, 7733, 6963, 999, 3407, 2000, 3745, 2065, 2017, 1521, 2128, 10326, 1012, 4067, 2017, 5035, 999, 1045, 1521, 1049, 6603, 2065, 2045, 2003, 1037, 2204, 7681, 2005, 1996, 8872, 3270, 1010, 2004, 2017, 2064, 1521, 1056, 2131, 2009, 2182, 1999, 1996, 1057, 1012, 1055, 1012, 1006, 2348, 1045, 2387, 2009, 2003, 2800, 2006, 9733, 1007, 1012, 2071, 16027, 12136, 2030, 3514, 2022, 2109, 1029, 2030, 15415, 2460, 7406, 1029, 2054, 2079, 2017, 2228, 1029, 7632, 9393, 1012, 2000, 2022, 7481, 1010, 1045, 2052, 2074, 18168, 4183, 2009, 1012, 1045, 1521, 2310, 2081, 7733, 3347, 14704, 2116, 2335, 1998, 2031, 2196, 11250, 2000, 14899, 8872, 3270, 2046, 1996, 7967, 1998, 1045, 3227, 2123, 1521, 1056, 8572, 2000, 2224, 8434, 7967, 2005, 1996, 22286, 2593, 1516, 2074, 1037, 2204, 3737, 1523, 5983, 3737, 1524, 6501, 7967, 1006, 2008, 2052, 2022, 28353, 4917, 1521, 1055, 2182, 1999, 11472, 999, 1007, 1045, 2228, 1045, 2031, 5552, 2296, 5785, 19031, 14756, 7438, 17974, 2017, 2031, 6866, 1012, 1045, 3866, 1996, 24227, 1521, 1055, 21443, 12136, 2452, 3924, 1012, 17111, 2080, 26855, 2075, 999, 1045, 2036, 2293, 2437, 5785, 19031, 14756, 18452, 2007, 12348, 9409, 9067, 8261, 2015, 1012, 1045, 2031, 6866, 1037, 2261, 2006, 2026, 2609, 2066, 25730, 17688, 2007, 11035, 6949, 8808, 10097, 2075, 1012, 2216, 2024, 2467, 4569, 999, 1998, 2823, 1045, 2941, 2066, 1996, 17839, 1006, 1998, 8491, 10250, 18909, 1007, 1997, 5810, 2214, 5785, 19031, 14756, 18452, 999, 10166, 1529, 2122, 2614, 2204, 1012, 1045, 2191, 3151, 1054, 2243, 18452, 2021, 1045, 5587, 21443, 12136, 2000, 12501, 7967, 1998, 3659, 2008, 2058, 1996, 18452, 1012, 1996, 2804, 1997, 3653, 23102, 4877, 4165, 2428, 2204, 999, 1045, 2052, 2293, 2000, 2156, 1996, 17974, 2013, 17151, 6494, 27861, 1529, 7733, 14704, 999, 3288, 2009, 2006, 999, 18168, 2290, 999, 1045, 2467, 2295, 14684, 14075, 9594, 3762, 2001, 2129, 2017, 3615, 2000, 2115, 3129, 999, 8840, 2140, 2122, 2298, 10392, 999, 999, 1045, 2228, 1045, 2342, 2000, 2191, 2122, 1010, 2505, 2007, 21443, 12136, 1998, 7967, 2003, 2183, 2000, 2022, 2204, 1010, 11504, 1045, 2180, 1521, 1056, 4521, 1996, 2878, 6090, 1012, 1045, 1521, 2222, 2022, 4214, 2017, 2043, 1045, 5114, 1019, 2062, 20702, 1012, 100, 2122, 2614, 2061, 2204, 999, 1045, 2066, 2437, 9850, 23801, 5785, 19031, 14756, 18452, 1011, 2074, 5587, 1015, 1013, 1018, 2452, 1997, 9850, 4666, 2000, 1996, 9409, 9067, 8261, 8150, 2077, 5815, 1996, 5785, 19031, 13046, 1012, 2027, 2024, 2190, 2043, 9370, 2007, 11867, 6657, 19099, 2015, 1010, 1998, 2027, 2175, 2058, 2200, 2092, 999, 100, 2122, 2074, 2614, 3972, 4509, 999, 999, 999, 2031, 2017, 2412, 2699, 2478, 2569, 1047, 20943, 2007, 1996, 13137, 22509, 2015, 1999, 2068, 1999, 2173, 1997, 1996, 5785, 19031, 13046, 1029, 1996, 16876, 2015, 2203, 2039, 14894, 2075, 1996, 9409, 9067, 8261, 2015, 1998, 2024, 2061, 9805, 18879, 1012, 2026, 2388, 2224, 2000, 2191, 2242, 2066, 2023, 2007, 19723, 1012, 2569, 1047, 20943, 1998, 1052, 2497, 1012, 1998, 7967, 2006, 2327, 2295, 1012, 2097, 2031, 2000, 5690, 2005, 2023, 17974, 2205, 999, 2821, 1045, 2572, 17111, 2080, 7501, 2085, 999, 999, 999, 2031, 2017, 2699, 18937, 10624, 2891, 2077, 1029, 2009, 1521, 1055, 1996, 2168, 2801, 2004, 2122, 6963, 2021, 2007, 12136, 9363, 10649, 11772, 12501, 2046, 1996, 7967, 2006, 2327, 1012, 2061, 1012, 2204, 1012, 1996, 17974, 2003, 2006, 1996, 5785, 19031, 13046, 4037, 1006, 2009, 1521, 1055, 3565, 3722, 1998, 2069, 3791, 2028, 9854, 2452, 999, 1007, 1012, 2307, 17974, 9393, 999, 2026, 2269, 2001, 3059, 1010, 1998, 2026, 2388, 2001, 2413, 1013, 3010, 1012, 2833, 2001, 2392, 1998, 2415, 2012, 2296, 2413, 1013, 3010, 2724, 1012, 1045, 2113, 1045, 2097, 2293, 2023, 17974, 1010, 2138, 1045, 2066, 1996, 24514, 1997, 10560, 3653, 23102, 4877, 1999, 2151, 27571, 3240, 18064, 1012, 1045, 2064, 1521, 1056, 3524, 2000, 2298, 2012, 2115, 2060, 19328, 999, 2026, 5440, 5785, 19031, 14756, 2675, 2003, 1996, 12136, 9363, 10649, 18452, 2012, 5785, 21638, 2483, 13046, 1012, 4012, 2008, 13265, 1037, 2978, 1997, 12136, 9363, 10649, 29593, 4666, 2046, 1996, 17974, 1010, 2029, 1045, 2689, 2039, 2011, 13053, 2006, 2026, 5440, 7967, 10097, 2075, 1012, 1045, 2123, 1521, 1056, 2066, 2000, 3524, 2005, 1996, 14320, 2000, 4658, 1010, 1998, 2023, 10097, 2075, 2064, 2022, 8542, 2006, 1996, 2980, 14320, 1010, 2030, 2006, 2980, 2829, 3111, 1010, 2030, 2980, 17776, 22619, 1010, 2157, 2041, 1997, 1996, 17428, 1012, 5959, 999, 1048, 6038, 2028, 14876, 7716, 2666, 3406, 6761, 12399, 1012, 23012, 11008, 1012, 4012, 2019, 11614, 3597, 6559, 8654, 26895, 22471, 2953, 1012, 23012, 11008, 1012, 4012, 3071, 22747, 11431, 10050, 3334, 8586, 28108, 1012, 23012, 11008, 1012, 4012, 17974, 23695, 29278, 22507, 14001, 2063, 1012, 23012, 11008, 1012, 4012, 2339, 2748, 1010, 1045, 2079, 2156, 2122, 12476, 19031, 7685, 18452, 1999, 2026, 2925, 999, 1045, 2031, 2000, 6449, 2295, 1010, 2026, 5440, 2024, 1996, 17704, 26729, 5810, 2214, 13405, 3924, 2017, 2424, 1999, 1996, 10236, 4842, 2012, 3806, 3703, 1998, 2477, 1012, 2027, 2287, 2066, 1037, 2986, 4511, 100, 2074, 2179, 2115, 9927, 1998, 2572, 7568, 2000, 8849, 999, 2122, 2079, 2614, 12090, 1012, 2005, 2033, 1010, 1037, 3145, 14894, 1999, 14684, 14075, 9594, 3762, 2003, 1996, 15451, 2102, 1999, 1996, 21161, 3256, 6949, 1012, 1045, 1521, 1049, 2183, 2000, 3046, 2122, 2007, 2070, 15451, 2102, 9898, 13551, 1999, 1012, 1045, 1521, 2222, 2292, 2017, 2113, 2129, 2027, 2735, 2041, 1012, 2026, 5440, 2544, 2003, 1037, 25730, 17688, 19031, 14756, 18452, 2008, 1045, 2191, 2007, 9413, 7974, 8747, 1521, 1055, 15594, 2100, 2829, 5785, 20943, 1012, 2026, 2365, 8823, 1016, 14108, 2229, 2428, 2855, 1998, 4122, 2062, 1012, 2081, 2033, 2191, 1037, 14108, 2000, 3288, 2000, 2256, 2814, 2160, 2006, 4234, 2154, 1012, 2016, 3866, 2068, 2205, 1012, 2023, 3504, 6429, 2205, 1012, 1045, 2089, 2191, 2122, 2005, 10113, 1521, 1055, 2154, 1516, 2005, 2026, 10113, 1516, 9594, 3762, 1997, 2570, 2086, 2040, 2003, 1037, 1052, 2497, 5470, 12070, 1012, 4283, 2005, 2437, 2033, 17111, 2080, 7501, 1012, 1045, 2081, 2122, 3892, 1998, 2115, 1042, 24755, 14693, 2050, 999, 2122, 2234, 2041, 10392, 999, 1045, 20706, 4156, 7967, 1998, 21443, 12136, 17107, 4877, 2021, 2027, 2357, 2041, 12476, 999, 2074, 1037, 2210, 2062, 21443, 12136, 12090, 2791, 999, 1996, 1042, 24755, 14693, 2050, 1045, 1056, 28075, 2098, 1037, 2978, 1006, 2383, 2499, 1999, 1037, 18112, 2005, 2086, 1007, 2021, 2145, 2234, 2041, 2307, 999, 2307, 4037, 999, 999, 4283, 2005, 6631, 2035, 2115, 19328, 999, 1045, 2031, 2081, 1019, 14108, 2229, 1997, 2068, 1998, 2031, 8828, 2012, 2560, 1018, 1997, 2068, 2870, 999, 2004, 1037, 2047, 3566, 2040, 2003, 2025, 2893, 2172, 3637, 1998, 18345, 2006, 5699, 2000, 2562, 2033, 8300, 1010, 2122, 2031, 2272, 1999, 18801, 2012, 2035, 2847, 1997, 1996, 2154, 999, 1045, 2031, 2130, 2039, 5669, 1996, 3653, 23102, 2140, 1013, 19031, 14756, 6463, 2138, 1045, 2293, 1996, 2804, 1997, 1996, 23592, 1012, 3071, 3632, 4689, 2005, 2068, 1010, 2006, 1996, 4678, 6686, 2000, 5454, 2000, 3745, 999, 4283, 2005, 2023, 2028, 999, 999, 2393, 999, 2023, 17974, 6135, 10424, 19966, 20370, 2033, 1012, 1045, 1521, 1049, 1037, 3492, 18568, 1998, 29118, 5660, 1013, 6243, 1998, 2245, 2122, 2052, 2022, 3733, 2000, 11473, 2039, 1012, 1045, 1521, 2310, 2699, 3807, 2085, 1998, 2467, 8087, 1996, 2168, 3291, 1529, 2043, 1045, 2202, 1996, 12136, 1013, 9409, 9067, 8261, 8150, 2125, 1996, 16247, 1998, 5587, 1996, 21443, 12136, 1010, 1996, 4666, 4627, 2000, 10551, 2368, 2000, 1996, 2391, 2008, 2498, 2064, 2022, 2794, 2000, 2009, 1012, 2054, 2572, 1045, 2725, 3308, 1029, 3531, 2393, 1012, 4283, 999, 7632, 10454, 1010, 2017, 2071, 2224, 1996, 3019, 21443, 12136, 2008, 2515, 2025, 5478, 18385, 2030, 25416, 3089, 4590, 3370, 1516, 1045, 2903, 2008, 10147, 2546, 1998, 13558, 7685, 2119, 2191, 4617, 1997, 2023, 1012, 1045, 2052, 2994, 2185, 2013, 1996, 3019, 9903, 2008, 5478, 18385, 1998, 25416, 3089, 4590, 3370, 1010, 2004, 2009, 1521, 1055, 3227, 2205, 3514, 2100, 1012, 7632, 1010, 4283, 2005, 2023, 17974, 999, 2178, 2028, 1997, 2115, 8466, 2419, 2033, 2182, 1010, 1045, 2293, 1996, 11157, 6971, 1012, 2122, 2020, 2061, 2204, 1010, 1045, 2081, 2068, 2005, 1037, 3185, 2283, 1012, 1996, 1052, 2497, 2001, 2061, 24519, 4606, 23592, 24514, 2100, 3653, 23102, 4877, 999, 1996, 7967, 11772, 2006, 2327, 2404, 2033, 2058, 1996, 3341, 1012, 1045, 2064, 1521, 1056, 2131, 2438, 1012, 1045, 2562, 3788, 2011, 1998, 6276, 2125, 2178, 2210, 15876, 8950, 1010, 1998, 2178, 1012, 1012, 1012, 1045, 2228, 2009, 2097, 2022, 1037 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 2424, 1037, 3105, 2008, 2017, 2293, 1012, 2348, 2147, 2003, 2019, 3517, 23382, 13373, 1010, 2115, 2476, 5807, 1005, 1056, 2022, 28285, 1012, 2065, 2017, 5223, 2054, 2017, 2079, 1010, 2017, 4995, 1005, 1056, 2183, 2000, 2022, 3407, 1010, 5810, 1998, 3722, 1012, 2017, 2123, 1005, 1056, 2342, 2000, 2293, 2296, 7814, 1997, 2115, 3105, 1010, 2021, 2009, 3791, 2000, 2022, 10990, 2438, 2008, 2017, 2123, 1005, 1056, 14436, 2893, 2041, 1997, 2793, 2296, 2851, 1012, 4531, 1037, 3105, 2008, 2017, 2024, 2061, 13459, 2055, 2017, 2052, 2079, 2009, 2005, 2489, 1012, 2065, 2115, 3105, 2003, 19689, 2017, 1010, 1998, 2017, 2024, 4531, 2009, 3697, 2000, 2079, 1996, 2477, 2017, 2293, 2648, 1997, 2147, 1010, 2242, 2003, 3308, 1012, 2017, 2089, 2022, 2551, 1999, 1037, 11704, 4044, 1010, 2005, 1037, 11704, 2711, 1010, 2030, 2725, 1037, 3105, 2008, 2017, 5621, 2123, 1005, 1056, 2293, 1012, 2065, 2023, 2003, 1996, 2553, 1010, 2009, 2003, 2051, 2000, 2424, 1037, 2047, 3105, 1012, 1012, 3745, 1996, 2147, 1012, 2017, 2123, 1521, 1056, 2031, 2000, 2079, 2673, 999, 13024, 2070, 2393, 2013, 2115, 3507, 5126, 2030, 2155, 2372, 1012, 11849, 10198, 1010, 1998, 2017, 1521, 2222, 2131, 2673, 2589, 1999, 1037, 23259, 5450, 1012, 2023, 27777, 2136, 6198, 1998, 3084, 3071, 2514, 2066, 2027, 1521, 2310, 2081, 1037, 6691, 1012, 2009, 2036, 3957, 2017, 2070, 4335, 2096, 2115, 2393, 2545, 5114, 1037, 3168, 1997, 24718, 1012, 2191, 6912, 1037, 2442, 1011, 2079, 1010, 2025, 1037, 2323, 1011, 2079, 2009, 1521, 1055, 3733, 2000, 17542, 1996, 9726, 1010, 1996, 3944, 2448, 2030, 1996, 13272, 2465, 2138, 1037, 7396, 4122, 2242, 2589, 7483, 1012, 2612, 1010, 5676, 6912, 2003, 2445, 2004, 2172, 9470, 2004, 2115, 7846, 1998, 2437, 2769, 1012, 1037, 7965, 2303, 2965, 1037, 4840, 2568, 1010, 2029, 2965, 2017, 2097, 3853, 2488, 1998, 3143, 8518, 1999, 2625, 2051, 1012, 5323, 7372, 2275, 4189, 1998, 12689, 6537, 2006, 2054, 2017, 2097, 1998, 2097, 2025, 2079, 2119, 2012, 2147, 1998, 2012, 2188, 1012, 4415, 10639, 2122, 7372, 2000, 2115, 12366, 1010, 11190, 2953, 11451, 1010, 4256, 1998, 2155, 1012, 2005, 6013, 1010, 2017, 2453, 10797, 2000, 2025, 2551, 2397, 2006, 3056, 2420, 4983, 2045, 2003, 1037, 5325, 1012, 5678, 1010, 2275, 4998, 1037, 2051, 2012, 2188, 2076, 2029, 2017, 2097, 2025, 4638, 2030, 6869, 2000, 2147, 1011, 3141, 22028, 2030, 2376, 5653, 2015, 1012, 2202, 1037, 10885, 1012, 2823, 1010, 5621, 4895, 24759, 15916, 4726, 2965, 2635, 10885, 2051, 1998, 17521, 2147, 3294, 2125, 2005, 1037, 2096, 1012, 3251, 2115, 10885, 3774, 1997, 1037, 2028, 1011, 2154, 2994, 10719, 2030, 1037, 2048, 1011, 2733, 4440, 2000, 20222, 1010, 2009, 1005, 1055, 2590, 2000, 2202, 2051, 2125, 2000, 8186, 1998, 10597, 28667, 8167, 3351, 1012, 2429, 2000, 1996, 2110, 1997, 2137, 10885, 2760, 2817, 4146, 2011, 1996, 1057, 1012, 1055, 1012, 3604, 2523, 1010, 4720, 1003, 1997, 5126, 2988, 2383, 15171, 10885, 2420, 2187, 2058, 2012, 1996, 2203, 1997, 1996, 2095, 1012, 5126, 2024, 2411, 5191, 2008, 2635, 2051, 2125, 2097, 23217, 1996, 2147, 12314, 1010, 1998, 2027, 2097, 2022, 2777, 2007, 1037, 2067, 21197, 1997, 2147, 2043, 2027, 2709, 1012, 2023, 3571, 2323, 2025, 21573, 2017, 2013, 2635, 1037, 2172, 1011, 2734, 3338, 1012, 1996, 3606, 2003, 1010, 2045, 2003, 2053, 11760, 1999, 2025, 2635, 2092, 1011, 10849, 2051, 2185, 2013, 2147, 1025, 1996, 6666, 1997, 2635, 1037, 2154, 2125, 2521, 2041, 27204, 2232, 1996, 12482, 8621, 1012, 2007, 5372, 4041, 1010, 2017, 2064, 2202, 2051, 2185, 2302, 15366, 2055, 10859, 2075, 2115, 8628, 2030, 27481, 2075, 2007, 1037, 4121, 2147, 11066, 2043, 2017, 2709, 1012, 11027, 14836, 2015, 1012, 2065, 2115, 3167, 2166, 15115, 2015, 2007, 2115, 3105, 1010, 2275, 2070, 7372, 1012, 2022, 3813, 2043, 2017, 2031, 2147, 2000, 3926, 1012, 28085, 6976, 3167, 4455, 2030, 7879, 1012, 28085, 6976, 3167, 4455, 2030, 7879, 1012, 2681, 2115, 3526, 3042, 1999, 1996, 2482, 2030, 6942, 2009, 2125, 2076, 2147, 2847, 1012, 8536, 2591, 6026, 2007, 2522, 1011, 3667, 2127, 2115, 2147, 2003, 2589, 1012, 2320, 2017, 1521, 2310, 4342, 2000, 5460, 4179, 2115, 2147, 10259, 1010, 2017, 1521, 2222, 2424, 2008, 2017, 2053, 2936, 14436, 2183, 2000, 2147, 1998, 5026, 2009, 2035, 2188, 1006, 2030, 5494, 1996, 2341, 2000, 2115, 2188, 2436, 1007, 1012, 5674, 4209, 2008, 2017, 1521, 2128, 3201, 2000, 2707, 2115, 2154, 2612, 1997, 2652, 4608, 2039, 2013, 7483, 1012, 2202, 2051, 2000, 2191, 2051, 15697, 1999, 2051, 1011, 9651, 5906, 1012, 2045, 2024, 7564, 1997, 5906, 2017, 2064, 2224, 2000, 2650, 2673, 2013, 1996, 6075, 1998, 9367, 1997, 6295, 1010, 2000, 11777, 1998, 16401, 5260, 1012, 2051, 1011, 9651, 4007, 4473, 2017, 2000, 2855, 3857, 2019, 4824, 1997, 2129, 2146, 1037, 3327, 4708, 3138, 1012, 2008, 2126, 1010, 2017, 2064, 6464, 10197, 2129, 2146, 2115, 2279, 2147, 4708, 2097, 2202, 1012, 2022, 12689, 2012, 1996, 2203, 1997, 2169, 2551, 2154, 1010, 4685, 1037, 2210, 2969, 1011, 4106, 1012, 3198, 4426, 2054, 2499, 2651, 1010, 2054, 2134, 1521, 1056, 1010, 2054, 2253, 3308, 1998, 2129, 1996, 3277, 2064, 2022, 4964, 1012, 3342, 2045, 2024, 5190, 1997, 5661, 2074, 2066, 6737, 4083, 1996, 2168, 8220, 2296, 2154, 1012, 2123, 1521, 1056, 5293, 2000, 11112, 2046, 1996, 7070, 4219, 2105, 2017, 1516, 2115, 12746, 1516, 2005, 2393, 1012, 3188, 25090, 4371, 2115, 2740, 1012, 2115, 3452, 3558, 1010, 6832, 1998, 5177, 2740, 2323, 2022, 2115, 2364, 5142, 1012, 2065, 2017, 5998, 2007, 10089, 2030, 6245, 1998, 2228, 7242, 2052, 5770, 2017, 1010, 4906, 2216, 6521, 2046, 2115, 6134, 1010, 2130, 2065, 2017, 2031, 2000, 2681, 2147, 2220, 2030, 14033, 2115, 3944, 6714, 2465, 1012, 2065, 2017, 2024, 17773, 1037, 11888, 7355, 1010, 2123, 1005, 1056, 2022, 4452, 2000, 2655, 1999, 5305, 2006, 5931, 2420, 1012, 2058, 21398, 4426, 16263, 2017, 2013, 2893, 2488, 1010, 4298, 4786, 2017, 2000, 2202, 2062, 2420, 2125, 1999, 1996, 2925, 1012, 3188, 25090, 6774, 2115, 2740, 2034, 1998, 16097, 2097, 2191, 2017, 1037, 2488, 7904, 1998, 2711, 1012, 2017, 2097, 3335, 2625, 2147, 1010, 1998, 2043, 2017, 2024, 2045, 1010, 2017, 2097, 2022, 19366, 1998, 2062, 13318, 1012, 2831, 2009, 2041, 2007, 2115, 23029, 2831, 2009, 2041, 2007, 2115, 23029, 2009, 1005, 1055, 5114, 3993, 2000, 2562, 1996, 11061, 3210, 2330, 2007, 2115, 2147, 2472, 1010, 17850, 1010, 1998, 23029, 1012, 2022, 3634, 3867, 11476, 1998, 19647, 1012, 6814, 2017, 2064, 1005, 1056, 6162, 2436, 2006, 2051, 2144, 2017, 2342, 2000, 4530, 2115, 2775, 2000, 2465, 1010, 2027, 2064, 9585, 2017, 2000, 2041, 2011, 4363, 2115, 2147, 2847, 15581, 3085, 1012, 2006, 1996, 2125, 3382, 2008, 2008, 2003, 2019, 3277, 1010, 2022, 2275, 2039, 2007, 11322, 3512, 6998, 2005, 2265, 2129, 1996, 2607, 1997, 2895, 2180, 1005, 1056, 3747, 2115, 7781, 1998, 8122, 1012, 2191, 2051, 2005, 4426, 1998, 2115, 3866, 3924, 1012, 2096, 2115, 3105, 2003, 2590, 1010, 2009, 5807, 1005, 1056, 2022, 2115, 2972, 2166, 1012, 2017, 2020, 2019, 3265, 2077, 2635, 2023, 2597, 1010, 1998, 2017, 2323, 3188, 25090, 4371, 1996, 3450, 2030, 7570, 27982, 2008, 2191, 2017, 3407, 1012, 10910, 2147, 1011, 2166, 5703, 5942, 15063, 2895, 1012, 2065, 2017, 2079, 2025, 7933, 2933, 2005, 3167, 2051, 1010, 2017, 2097, 2196, 2031, 2051, 2000, 2079, 2060, 2477, 2648, 1997, 2147, 1012, 2053, 3043, 2129, 2002, 13306, 2115, 6134, 2453, 2022, 1010, 2017, 4821, 2031, 2491, 1997, 2115, 2051, 1998, 2166, 1012, 2043, 4041, 2051, 2007, 2115, 3866, 3924, 1010, 3443, 1037, 8094, 2005, 6298, 1998, 2155, 5246, 1012, 2009, 2089, 4025, 6881, 2000, 2933, 2028, 1011, 2006, 1011, 2028, 2051, 2007, 2619, 2017, 2444, 2007, 1010, 2021, 2009, 2097, 5676, 2008, 2017, 5247, 3737, 2051, 2007, 2068, 2302, 2147, 1011, 2166, 4736, 1012, 2074, 2138, 2147, 7906, 2017, 5697, 2987, 1005, 1056, 2812, 2017, 2323, 19046, 3167, 6550, 1012, 5382, 2008, 2053, 2028, 2012, 2115, 2194, 2003, 2183, 2000, 2293, 2017, 2030, 9120, 2017, 1996, 2126, 2115, 3866, 3924, 2079, 1012, 2036, 2008, 3071, 2003, 5672, 3085, 2012, 2147, 1010, 1998, 2053, 3043, 2129, 2590, 2017, 2228, 2115, 3105, 2003, 1010, 1996, 2194, 2097, 2025, 3335, 1037, 3786, 4826, 2065, 2017, 2024, 2908, 1012, 2131, 5220, 2007, 1996, 12233, 1997, 6098, 2045, 1005, 1055, 2498, 19721, 1999, 14622, 2008, 2017, 2064, 1005, 1056, 2079, 2673, 2035, 2894, 1998, 1037, 2210, 2393, 2071, 10956, 2115, 20193, 5151, 10859, 1012, 2011, 2725, 2673, 2981, 2013, 3087, 2842, 1010, 2017, 1005, 2128, 15095, 2075, 2115, 2303, 2004, 2092, 2004, 4292, 2009, 2039, 2005, 1037, 12554, 2101, 2006, 1012, 5454, 2054, 2017, 2323, 2079, 4426, 1998, 2054, 2500, 2064, 3066, 2007, 1012, 2298, 2005, 5375, 2013, 8628, 1010, 2166, 4256, 1010, 1998, 9064, 1012, 2017, 1998, 2115, 2166, 4256, 2064, 3584, 9413, 13033, 2015, 2061, 2008, 2119, 1997, 2017, 2123, 1005, 1056, 3571, 2746, 2000, 2188, 2206, 1037, 2146, 2551, 2154, 2012, 2436, 1012, 3961, 3378, 13463, 1996, 2154, 2006, 4070, 1997, 8144, 2008, 4209, 1996, 14165, 1998, 18913, 1997, 2115, 2814, 1998, 2155, 3475, 1005, 1056, 1037, 3231, 2151, 2936, 1012, 2296, 2309, 2551, 2388, 2064, 2302, 2172, 1997, 1037, 7683, 3961, 3378, 2007, 2037, 2402, 15608, 2096, 2027, 2024, 2551, 2012, 2436, 1012, 1999, 2553, 2017, 1005, 2128, 3110, 1996, 3279, 1997, 2115, 2336, 1010, 2017, 2064, 2191, 1037, 7026, 2655, 2030, 2130, 1037, 2678, 2655, 13463, 2115, 7954, 3338, 1998, 17763, 2006, 2147, 2007, 2053, 3778, 2030, 18859, 2012, 1996, 2067, 10497, 1012, 2023, 14017, 10732, 2015, 1996, 5939, 3489, 2008, 2017, 1005, 2128, 2485, 1998, 7297, 16171, 2017, 20811, 1037, 8401, 2154, 2012, 2147, 1012, 5787, 20150, 2015, 1998, 2051, 1011, 5490, 13860, 4063, 2545, 2043, 2017, 2024, 1037, 2551, 2450, 1010, 10862, 2003, 10232, 1517, 2012, 2147, 1998, 2188, 1012, 2017, 2052, 2022, 15261, 2000, 5382, 2008, 20150, 2015, 2012, 2551, 4044, 2064, 3465, 2017, 2058, 2093, 2847, 2296, 2154, 1012, 2006, 1996, 2125, 3382, 2008, 2017, 2342, 2000, 2022, 5117, 1998, 15282, 1010, 2009, 1005, 1055, 8050, 2000, 2562, 1041, 4246, 2271, 3512, 21315, 1010, 3733, 26966, 4773, 19967, 1010, 3526, 11640, 1010, 1998, 2367, 20150, 2015, 2104, 2491, 1012, 2275, 13216, 2051, 3013, 7245, 2685, 2000, 4769, 7696, 1998, 7026, 27891, 1012, 2012, 2188, 1010, 14689, 18249, 2013, 14158, 11664, 2135, 1997, 2694, 1998, 2738, 1010, 2017, 2064, 16462, 2008, 4495, 2000, 19444, 2115, 5416, 2007, 2115, 16222, 25377, 13231, 1998, 2336, 1012, 2147, 25670, 2025, 6211, 2478, 2051, 2062, 18228, 2003, 2019, 2590, 8066, 2008, 3071, 2013, 1996, 23775, 2000, 1996, 5766, 2064, 4553, 1012, 16151, 1996, 2157, 5257, 1997, 2051, 1011, 2968, 6078, 2064, 3013, 6911, 1998, 3828, 2017, 2039, 2000, 2019, 3178, 1037, 2154, 1012, 2023, 2064, 2421, 1996, 2224, 1997, 2974, 2000, 2468, 2062, 4114, 1010, 19765, 22028, 1998, 2376, 7696, 1010, 9992, 4013, 26775, 14083, 12758, 1998, 4083, 2000, 2360, 1000, 2053, 1012, 1000, 21934, 28250, 1012, 2123, 1521, 1056, 2191, 2477, 8552, 1012, 2004, 4286, 1010, 2057, 7166, 2000, 2191, 4469, 2147, 2005, 9731, 2130, 2065, 2009, 1521, 1055, 14203, 1012, 2339, 27788, 15338, 1996, 5217, 1029, 2065, 2242, 2573, 1010, 2123, 1521, 1056, 3046, 2000, 8081, 2009, 1012, 2467, 3342, 1996, 3610, 4118, 1024, 2562, 2009, 3722, 10021, 1012, 2681, 2147, 2012, 2147, 4503, 1037, 5177, 2006, 1011, 2125, 6942, 2090, 2147, 1998, 2188, 1012, 2009, 7126, 2000, 5323, 1037, 17459, 4023, 2090, 1996, 2048, 18814, 1012, 2023, 2453, 8676, 1997, 5962, 2000, 2189, 2030, 2680, 2808, 2076, 2115, 3944, 4012, 26746, 1010, 28428, 2012, 1996, 10516, 2415, 1010, 2770, 9413, 13033, 2015, 1010, 2030, 4363, 3167, 14651, 1012, 19940, 2107, 3450, 3202, 2206, 2115, 3671, 2147, 2847, 2036, 16263, 2017, 2013, 5938, 2008, 4469, 3174, 2781, 2012, 1996, 2436, 2029, 2059, 4332, 2046, 2195, 2847, 1012, 4009, 1037, 2240, 2426, 2188, 1998, 2147, 4009, 1037, 2240, 2426, 2188, 1998, 2147, 2028, 1997, 1996, 2190, 11110, 2166, 2038, 6628, 2033, 2003, 2000, 2110, 2053, 2000, 2477, 2008, 2123, 1005, 1056, 2240, 2039, 2007, 2115, 3791, 1012, 3404, 2033, 1010, 2009, 2003, 1996, 4602, 25951, 2000, 6464, 26536, 9354, 2115, 2219, 1998, 6739, 2166, 1012, 3275, 2041, 2129, 2000, 9375, 6537, 2061, 2017, 2064, 2507, 2115, 2430, 4563, 2000, 2119, 1996, 3033, 1997, 2166, 1012, 2681, 2147, 2012, 2147, 1010, 2123, 1005, 1056, 2131, 2067, 2188, 2007, 2009, 1012, 2096, 19920, 2943, 2007, 2115, 2336, 1998, 16222, 25377, 13231, 1010, 2123, 1005, 1056, 2022, 2006, 1996, 7026, 6016, 7696, 2030, 3331, 2055, 2147, 2007, 9228, 1012, 2022, 5204, 1997, 2115, 2219, 7264, 1998, 4088, 3038, 2053, 2000, 2477, 2008, 4995, 1005, 1056, 2725 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1022, 1010, 1011, 6352, 1010, 1011, 22898, 1010, 20035, 1010, 4185, 2549, 1029, 11518, 2475, 2054, 3310, 2279, 1024, 1011, 12606, 1010, 1011, 3486, 2620, 1010, 1011, 5354, 2629, 1010, 1011, 6640, 2475, 1010, 1011, 10114, 2683, 1010, 1011, 7558, 2575, 1029, 1011, 16666, 2509, 2054, 2003, 1996, 2279, 2744, 1999, 11518, 2692, 2683, 2581, 1010, 20741, 16147, 2509, 1010, 28469, 22407, 2683, 1010, 4724, 2575, 22025, 2629, 1010, 5139, 27009, 2620, 2487, 1029, 3515, 19961, 2581, 2581, 2054, 2003, 1996, 2279, 2744, 1999, 16710, 1010, 8698, 1010, 5764, 2487, 1010, 10715, 2692, 1010, 8148, 2487, 1010, 19594, 2620, 1010, 25797, 2629, 1029, 4261, 16048, 2054, 3310, 2279, 1024, 25926, 2581, 1010, 19988, 2549, 1010, 24559, 2487, 1010, 17196, 2620, 1010, 26257, 2629, 1010, 27003, 2475, 1029, 24030, 2683, 2054, 2003, 1996, 2279, 2744, 1999, 18610, 21057, 1010, 18610, 2683, 2487, 1010, 18610, 2683, 2475, 1010, 18610, 2683, 2509, 1010, 18610, 2683, 2549, 1010, 18610, 2683, 2629, 1029, 18610, 2683, 2575, 2054, 2003, 2279, 1999, 12522, 2475, 1010, 4029, 22610, 2509, 1010, 5139, 2581, 15136, 1010, 5824, 2683, 2575, 2581, 1029, 6205, 19317, 2692, 2054, 3310, 2279, 1024, 1011, 4261, 23777, 1010, 1011, 4293, 22907, 1010, 1011, 12104, 14526, 1010, 1011, 5018, 2683, 2629, 1010, 1011, 6837, 2683, 1029, 1011, 21035, 2575, 2509, 2054, 2003, 2279, 1999, 16065, 24087, 1010, 16065, 27009, 1010, 16065, 22275, 1010, 16065, 25746, 1010, 16065, 22203, 1010, 16065, 12376, 1029, 16065, 26224, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 26738, 1010, 1011, 16471, 2487, 1010, 1011, 9402, 2581, 1010, 1011, 23988, 1029, 24673, 2054, 2003, 2279, 1999, 6535, 2620, 1010, 6227, 2509, 1010, 8746, 2692, 1010, 12567, 2683, 1010, 14677, 2692, 1010, 14748, 2509, 1010, 17403, 2620, 1029, 22606, 2054, 2003, 1996, 2279, 2744, 1999, 22376, 2549, 1010, 4749, 2581, 2575, 1010, 6356, 21057, 1010, 6694, 2575, 1010, 8732, 18827, 1010, 5018, 22932, 1029, 22370, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4278, 2581, 1010, 1011, 28202, 2575, 1010, 1011, 4029, 17134, 2581, 1010, 1011, 4185, 17788, 2692, 1010, 1011, 2531, 23499, 2629, 1010, 1011, 14748, 28311, 2475, 1010, 1011, 3476, 2620, 2487, 1029, 1011, 24368, 2692, 19317, 2054, 2003, 2279, 1999, 27671, 24096, 2629, 1010, 16087, 8889, 22407, 1010, 19883, 8889, 23632, 1010, 26871, 8889, 27009, 1029, 26271, 8889, 2575, 2581, 2054, 2003, 2279, 1999, 6146, 17465, 1010, 4293, 2581, 2581, 1010, 9683, 2509, 1010, 6421, 2683, 2683, 1010, 5824, 26187, 1010, 27671, 2487, 1029, 28066, 2581, 2054, 3310, 2279, 1024, 1011, 17442, 20958, 1010, 1011, 28122, 28154, 1010, 1011, 14010, 2692, 2581, 2575, 1010, 1011, 24621, 2683, 2509, 1029, 1011, 12875, 14526, 2692, 2054, 3310, 2279, 1024, 8574, 2620, 1010, 25578, 2683, 1010, 27517, 2475, 1010, 20263, 2581, 1010, 5764, 21084, 1010, 6275, 2620, 2509, 1029, 3938, 21084, 2054, 2003, 2279, 1999, 18582, 1010, 26963, 1010, 12457, 2629, 1010, 19843, 2487, 1010, 29327, 2683, 1010, 4749, 26224, 1010, 6353, 2575, 2487, 1029, 6109, 2683, 2629, 2054, 2003, 1996, 2279, 2744, 1999, 25745, 1010, 4583, 2683, 1010, 6640, 2487, 1010, 11518, 2629, 1010, 11502, 2487, 1010, 18914, 2683, 1010, 10011, 1029, 19843, 2487, 2054, 3310, 2279, 1024, 1011, 20636, 1010, 1011, 14078, 2692, 1010, 1011, 23980, 2487, 1010, 1011, 5401, 18139, 1010, 1011, 3938, 2620, 2581, 1010, 1011, 14677, 2620, 2549, 1010, 1011, 13140, 2629, 1029, 1011, 23593, 2581, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 6390, 1010, 1011, 29327, 1010, 1011, 6255, 2629, 1010, 1011, 8574, 2575, 1010, 1011, 20802, 2487, 1010, 1011, 19652, 2575, 1010, 1011, 4008, 2620, 2581, 1029, 1011, 5354, 14142, 2054, 2003, 1996, 2279, 2744, 1999, 12104, 1010, 21611, 1010, 4464, 2509, 1010, 4466, 2620, 1010, 5187, 2581, 1010, 4720, 2620, 1029, 4008, 2683, 2054, 2003, 2279, 1999, 22018, 27531, 2575, 1010, 22018, 27531, 2581, 1010, 22018, 27531, 2620, 1010, 22018, 27531, 2683, 1010, 22018, 20842, 2692, 1010, 22018, 20842, 2487, 1029, 22018, 20842, 2475, 2054, 2003, 1996, 2279, 2744, 1999, 19975, 1010, 2871, 2683, 1010, 4185, 2487, 1010, 6486, 2683, 1010, 12963, 2683, 1029, 16528, 2581, 2054, 2003, 1996, 2279, 2744, 1999, 11176, 2683, 2509, 1010, 12104, 12740, 1010, 12457, 17788, 1010, 10630, 27009, 1010, 12567, 22394, 1010, 13285, 2575, 2620, 1029, 13092, 26187, 2054, 3310, 2279, 1024, 20708, 2620, 1010, 3963, 19481, 2683, 1010, 28278, 2683, 2549, 1010, 13427, 2683, 21926, 1010, 4724, 2620, 2620, 21472, 1010, 6191, 15136, 2575, 2509, 1029, 5594, 2683, 2683, 2581, 2549, 2054, 2003, 1996, 2279, 2744, 1999, 24441, 27531, 2549, 1010, 4720, 24434, 2692, 2575, 1010, 6275, 24087, 27814, 1010, 9645, 2581, 23632, 2692, 1010, 7558, 2683, 23833, 2475, 1029, 17403, 14526, 16932, 2054, 3310, 2279, 1024, 22343, 2620, 1010, 5986, 27531, 1010, 20741, 16932, 1010, 4229, 2620, 14526, 1010, 3438, 2575, 2620, 2475, 1029, 6584, 23777, 2509, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4724, 23499, 2683, 2487, 1010, 1011, 4724, 23499, 2620, 2620, 1010, 1011, 4724, 23499, 2620, 2509, 1010, 1011, 4724, 23499, 2581, 2575, 1010, 1011, 4724, 23499, 2575, 2581, 1010, 1011, 4724, 23499, 26976, 1010, 1011, 4724, 23499, 23777, 1029, 1011, 4724, 23499, 22407, 2054, 2003, 2279, 1999, 1011, 4749, 2549, 1010, 1011, 4583, 2549, 1010, 1011, 6079, 2575, 1010, 1011, 23944, 1029, 1011, 6356, 2575, 2054, 3310, 2279, 1024, 1011, 6486, 1010, 1011, 20636, 1010, 1011, 4724, 2487, 1010, 1011, 5824, 2629, 1010, 1011, 7287, 2487, 1029, 1011, 14168, 2683, 2054, 3310, 2279, 1024, 26871, 1010, 13756, 1010, 22018, 1010, 17943, 1010, 4466, 1029, 1011, 14010, 2054, 2003, 2279, 1999, 4724, 2620, 1010, 4749, 2549, 1010, 13274, 1029, 3438, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 19936, 2629, 1010, 5594, 23632, 1010, 4444, 2487, 1010, 28358, 17788, 1010, 5187, 21486, 2509, 1010, 6146, 2581, 26187, 1029, 9645, 18139, 2487, 2054, 2003, 2279, 1999, 1011, 7886, 2692, 1010, 1011, 2531, 2549, 1010, 1011, 7886, 2475, 1010, 1011, 9645, 2692, 1010, 1011, 11518, 2549, 1029, 1011, 12963, 2692, 2054, 3310, 2279, 1024, 1011, 21005, 2509, 1010, 1011, 17273, 2620, 1010, 1011, 25162, 2581, 1010, 1011, 25586, 2549, 1010, 1011, 25745, 2509, 1010, 1011, 13427, 2620, 1010, 1011, 24709, 2509, 1010, 1011, 25103, 2475, 1029, 1011, 24398, 2683, 2054, 2003, 2279, 1999, 1011, 16459, 2475, 1010, 1011, 27200, 2683, 1010, 1011, 4008, 27814, 1010, 1011, 5354, 26224, 1010, 1011, 6356, 20958, 1010, 1011, 6486, 24434, 1029, 1011, 9645, 22022, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4229, 2581, 23777, 17134, 1010, 1011, 4229, 2581, 23777, 16932, 1010, 1011, 4229, 2581, 23777, 16068, 1029, 1011, 4229, 2581, 23777, 16048, 2054, 3310, 2279, 1024, 4724, 1010, 5786, 1010, 5354, 1010, 2570, 1010, 1011, 6079, 1029, 1011, 16798, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 25113, 2683, 1010, 1011, 19988, 2629, 1010, 1011, 4090, 2581, 2683, 1010, 1011, 19151, 2487, 1010, 1011, 22288, 2487, 1010, 1011, 5388, 2581, 2683, 1029, 1011, 3963, 19481, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 17222, 1010, 20311, 1010, 5764, 2475, 1010, 12904, 2629, 1010, 18582, 2549, 1010, 14993, 2629, 1010, 21777, 2549, 1010, 4090, 2683, 2581, 1029, 4601, 21057, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 4261, 2549, 1010, 1011, 17696, 2620, 1010, 1011, 4029, 14142, 1010, 1011, 13757, 2575, 1010, 1011, 9402, 19317, 1010, 1011, 16471, 2620, 2549, 1010, 1011, 10476, 2620, 1029, 1011, 21611, 19841, 2054, 2003, 2279, 1999, 1011, 21064, 1010, 1011, 5764, 2475, 1010, 1011, 5594, 2549, 1010, 1011, 9645, 2575, 1010, 1011, 13138, 2620, 1029, 1011, 16065, 2692, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 10630, 2620, 2581, 2509, 1010, 1011, 10630, 2620, 2581, 2549, 1010, 1011, 10630, 2620, 23352, 1010, 1011, 10630, 2620, 2581, 2575, 1029, 1011, 10630, 2620, 2581, 2581, 2054, 2003, 2279, 1999, 1011, 5585, 22932, 2475, 1010, 1011, 5585, 22932, 2487, 1010, 1011, 5585, 22932, 2692, 1029, 1011, 5585, 23777, 2683, 2054, 3310, 2279, 1024, 1011, 14378, 12376, 1010, 1011, 14378, 22394, 1010, 1011, 14378, 2692, 2575, 1010, 1011, 11899, 2575, 2683, 1029, 1011, 11899, 19317, 2054, 3310, 2279, 1024, 1011, 8746, 2692, 1010, 1011, 18540, 2487, 1010, 1011, 3998, 2549, 1010, 1011, 4464, 2575, 2509, 1010, 1011, 22288, 2475, 1029, 1011, 5388, 16068, 2054, 2003, 2279, 1999, 1011, 13427, 2692, 2549, 1010, 1011, 25578, 2620, 2620, 1010, 1011, 25586, 22407, 1010, 1011, 25717, 18827, 1029, 1011, 21950, 2581, 2575, 2054, 2003, 1996, 2279, 2744, 1999, 17867, 17134, 2683, 2581, 1010, 17867, 17134, 2683, 2575, 1010, 17867, 17134, 2683, 2629, 1010, 17867, 17134, 2683, 2549, 1010, 17867, 17134, 2683, 2509, 1010, 17867, 17134, 2683, 2475, 1029, 17867, 17134, 2683, 2487, 2054, 3310, 2279, 1024, 5354, 21472, 16068, 1010, 12963, 2683, 19317, 2575, 1010, 15331, 2620, 19481, 1010, 23297, 2620, 22932, 2475, 1010, 27502, 14142, 22610, 1010, 27509, 2581, 26187, 2692, 1029, 4601, 2575, 19317, 22203, 2054, 2003, 2279, 1999, 1011, 20666, 16048, 2692, 1010, 1011, 20666, 16068, 2683, 1010, 1011, 20666, 16048, 2620, 1010, 1011, 20666, 16147, 2509, 1010, 1011, 20666, 18827, 2692, 1010, 1011, 20666, 21486, 2629, 1010, 1011, 20666, 20958, 2549, 1010, 1011, 20666, 28311, 2509, 1029, 1011, 20666, 2581, 2575, 2620, 2054, 3310, 2279, 1024, 1011, 6356, 22407, 1010, 1011, 16459, 28154, 1010, 1011, 19015, 21057, 1010, 1011, 27502, 17465, 1010, 1011, 4261, 16068, 2475, 1010, 1011, 4008, 27814, 2509, 1029, 1011, 19611, 16932, 2054, 2003, 1996, 2279, 2744, 1999, 16087, 1010, 1011, 7558, 2575, 1010, 1011, 4261, 22407, 1010, 1011, 6390, 14142, 1010, 1011, 10630, 15136, 1029, 1011, 22685, 2620, 2054, 2003, 2279, 1999, 1011, 3359, 2581, 1010, 1011, 3411, 2549, 1010, 1011, 3285, 2509, 1010, 1011, 3381, 2549, 1010, 1011, 3326, 2581, 1010, 1011, 3299, 2475, 1010, 1011, 3355, 2683, 1029, 1011, 3245, 2620, 2054, 3310, 2279, 1024, 28048, 2475, 1010, 24673, 2509, 1010, 4229, 2620, 2549, 1010, 29335, 2629, 1010, 4261, 21472, 1010, 4029, 2581, 2581, 1029, 9475, 2620, 2054, 2003, 2279, 1999, 1011, 16621, 28311, 1010, 1011, 16621, 2575, 2509, 1010, 1011, 16621, 2575, 2683, 1010, 1011, 16621, 23352, 1010, 1011, 16621, 2620, 2487, 1010, 1011, 16621, 2620, 2581, 1029, 1011, 16621, 2683, 2509, 2054, 2003, 2279, 1999, 4261, 2509, 1010, 28048, 1010, 28161, 1010, 19611, 1010, 3438, 2683, 1029, 6390, 2620, 2054, 2003, 2279, 1999, 1011, 13206, 1010, 1011, 13140, 1010, 1011, 12410, 1010, 1011, 13036, 1029, 1011, 13397, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 6486, 16932, 1010, 1011, 7706, 2629, 1010, 1011, 6205, 26976, 1010, 1011, 6109, 2575, 2581, 1029, 1011, 5986, 22025, 2054, 2003, 1996, 2279, 2744, 1999, 20549, 2692, 2581, 2575, 1010, 20549, 2692, 23352, 1010, 20549, 2692, 2581, 2549, 1010, 20549, 2692, 2581, 2509, 1010, 20549, 2692, 2581, 2475, 1029, 20549, 2692, 2581, 2487, 2054, 3310, 2279, 1024, 1011, 24232, 2575, 2475, 1010, 1011, 13138, 22907, 2475, 1010, 1011, 25578, 22407, 2475, 1010, 1011, 4749, 22407, 20842, 1010, 1011, 29065, 2692, 2581, 2620, 1010, 1011, 7287, 2620, 27531, 2475, 1029, 1011, 5018, 2683, 11387, 2475, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 11518, 2509, 1010, 1011, 19936, 2487, 1010, 1011, 22904, 2629, 1010, 1011, 4601, 19481, 1010, 1011, 2753, 2620, 2487, 1029, 1011, 5354, 2683, 2509, 2054, 2003, 2279, 1999, 1011, 20405, 1010, 1011, 6070, 2629, 1010, 1011, 6863, 1010, 1011, 25392, 2683, 1010, 1011, 2753, 17788, 1010, 1011, 5824, 17788, 1010, 1011, 5818, 19961, 1029, 1011, 11899, 2683, 2487, 2054, 3310, 2279, 1024, 22376, 21057, 2487, 1010, 22376, 21057, 2692, 1010, 22376, 2620, 2683, 2683, 1010, 22376, 2620, 2683, 2620, 1010, 22376, 2620, 2683, 2581, 1010, 22376, 2620, 2683, 2575, 1029, 22376, 2620, 2683, 2629, 2054, 3310, 2279, 1024, 17696, 1010, 1011, 26628, 1010, 1011, 6535, 2549, 1010, 1011, 13029, 2509, 1010, 1011, 22593, 1010, 1011, 20802, 2581, 1010, 1011, 24231, 2475, 1029, 1011, 13710, 2683, 2054, 2003, 1996, 2279, 2744, 1999, 20304, 27814, 1010, 4805, 14142, 2683, 1010, 6353, 21472, 2692, 1029, 6227, 2575, 14526, 2054, 3310, 2279, 1024, 1011, 14748, 2620, 2509, 1010, 1011, 25797, 16086, 1010, 1011, 17422, 24434, 1010, 1011, 5388, 2620, 16932, 1010, 1011, 6421, 28154, 2487, 1029, 1011, 6070, 21619, 2620, 2054, 2003, 2279, 1999, 1011, 6535, 2692, 1010, 1011, 18610, 2683, 1010, 1011, 22234, 2620, 1010, 1011, 4090, 22907, 1010, 1011, 19540, 2575, 1029, 1011, 4868, 27531, 2054, 2003, 1996, 2279, 2744, 1999, 27519, 2475, 1010, 18610, 2683, 2475, 1010, 18034, 16086, 1010, 5764, 2581, 2581, 2575, 1010, 9645, 22022, 2692, 1010, 5018, 17788, 2475, 1010, 19627, 22203, 2475, 1029, 25491, 12521, 2692, 2054, 2003, 2279, 1999, 5187, 18827, 1010, 5187, 22907, 1010, 5187, 22022, 1010, 5187, 19961, 1010, 5187, 16086, 1029, 5187, 2581, 2683, 2054, 2003, 1996, 2279, 2744, 1999, 1011, 6146, 23833, 2549, 1010, 1011, 6146, 23833, 2475, 1010 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 7632, 2035, 1010, 1045, 2018, 1037, 3143, 20680, 5670, 2006, 2337, 6122, 1997, 2023, 2095, 1012, 1045, 2572, 6603, 2065, 3087, 2842, 2018, 2019, 3325, 2066, 3067, 1012, 2005, 2086, 1045, 2354, 2087, 2035, 1997, 1996, 2381, 1998, 3314, 2007, 1996, 17627, 2277, 1012, 1045, 2371, 2066, 2008, 1045, 2347, 1005, 1056, 2183, 2000, 2412, 2903, 11543, 2059, 2008, 1996, 2277, 2001, 2995, 1010, 4385, 1012, 1045, 2052, 2467, 2471, 5959, 3752, 1996, 6314, 3436, 4933, 2138, 1045, 2371, 2066, 2009, 2001, 2242, 2008, 22361, 2134, 1005, 1056, 3305, 1012, 1045, 2052, 2175, 2006, 15111, 7982, 1998, 2831, 2055, 2367, 23252, 4385, 1012, 1011, 2021, 2012, 2335, 1045, 2052, 11839, 2138, 1045, 2001, 2061, 12580, 5457, 1012, 1045, 2052, 11839, 2005, 2488, 4824, 2000, 21063, 1996, 2277, 6772, 2007, 2060, 3167, 4824, 2015, 2055, 1996, 5304, 1012, 1045, 2106, 2514, 2005, 2061, 2146, 2008, 1996, 4824, 2052, 2272, 1010, 1998, 2054, 1045, 2106, 3305, 2055, 1996, 8036, 2001, 3492, 6429, 4933, 1010, 2061, 1997, 2607, 2673, 2842, 2052, 2991, 2046, 2173, 1012, 2054, 3047, 2001, 1037, 3143, 7859, 1010, 2471, 2035, 2012, 2320, 1012, 2069, 2005, 1037, 2117, 2106, 1045, 2131, 1037, 4248, 3571, 1997, 3974, 10721, 2166, 2021, 2009, 2574, 2187, 1012, 2038, 3087, 2842, 2018, 1996, 3325, 1997, 4209, 1996, 18636, 4933, 1998, 2009, 2134, 1005, 1056, 2428, 22995, 2017, 1010, 1998, 2059, 2035, 2012, 2320, 2045, 2003, 2074, 1037, 5670, 1029, 1045, 2812, 2023, 2347, 1005, 1056, 1037, 3132, 3716, 1998, 2059, 3143, 5213, 1997, 4083, 2242, 2006, 1037, 4037, 1012, 2242, 2106, 2689, 2471, 6880, 2295, 1010, 2503, 1012, 4283, 1012, 2008, 3047, 2000, 2033, 1012, 1045, 2467, 2245, 1037, 2843, 1998, 2776, 1045, 2234, 2000, 1996, 7091, 2008, 2045, 2001, 2061, 2116, 3471, 1012, 2065, 1996, 2935, 8725, 2055, 3533, 1005, 1055, 21553, 2000, 2191, 1037, 2933, 1038, 2000, 1996, 12904, 5530, 1010, 2339, 2002, 2134, 1005, 1056, 2729, 2000, 2172, 4788, 4933, 2066, 1996, 2338, 1997, 8181, 1010, 6622, 1010, 8945, 2213, 5449, 1010, 13994, 3510, 1010, 4385, 1012, 2009, 2001, 1996, 11591, 2193, 1997, 6542, 3471, 2008, 2211, 2000, 3635, 1999, 1012, 1045, 2018, 1037, 2350, 5325, 1997, 4752, 2055, 2028, 2086, 3283, 1010, 2021, 2043, 1045, 2371, 1996, 13905, 1010, 1045, 3266, 2000, 2485, 2026, 2159, 2000, 1996, 3471, 1998, 2009, 2776, 2253, 2185, 1012, 1996, 2679, 1998, 1996, 17911, 9491, 2012, 2285, 2001, 1996, 13137, 2008, 3631, 1996, 19130, 1005, 1055, 2067, 2000, 2033, 1012, 1045, 2064, 11498, 8458, 23797, 2214, 3533, 1024, 1000, 2043, 1045, 2034, 2246, 2588, 2032, 1010, 1045, 2001, 4452, 1025, 2021, 1996, 3571, 2574, 2187, 2033, 1012, 1000, 1045, 3984, 1045, 2001, 5204, 1997, 2070, 2477, 1012, 1012, 1012, 1012, 1012, 1999, 10085, 8898, 2055, 14888, 2477, 2066, 26572, 22864, 2100, 1010, 6064, 3314, 1010, 3674, 2034, 4432, 1012, 1012, 1012, 2021, 2059, 1045, 2657, 2055, 1996, 2338, 1997, 8181, 3277, 1012, 1012, 1012, 1012, 1045, 2001, 2145, 17704, 3173, 2041, 3246, 2008, 1045, 2071, 2424, 2019, 7526, 2008, 2052, 23957, 11022, 2033, 1010, 2021, 2027, 2020, 2035, 2061, 18691, 1012, 1045, 2150, 15896, 2007, 20059, 2035, 2477, 15111, 1012, 2009, 2134, 1005, 1056, 2202, 2146, 2127, 1045, 2354, 1045, 2481, 1005, 1056, 2903, 2009, 4902, 1012, 1012, 1012, 1012, 1012, 1045, 2031, 2569, 17005, 2005, 2111, 2040, 3160, 1996, 2277, 2241, 2006, 8998, 2030, 3439, 26917, 2015, 1010, 2144, 2009, 2165, 2242, 2004, 6034, 2004, 2536, 28409, 10514, 27082, 4740, 2138, 1997, 2026, 15667, 5346, 2000, 5245, 2033, 2000, 2633, 3160, 1996, 16406, 1997, 1996, 10381, 6820, 2818, 1012, 2320, 2009, 15288, 1010, 2009, 2035, 4212, 4237, 2066, 23968, 2229, 2030, 2004, 2017, 2170, 2009, 1010, 1037, 2878, 11142, 22724, 1012, 2044, 1045, 5295, 2026, 5779, 1996, 19240, 1045, 2109, 1037, 2843, 2001, 2008, 2026, 2972, 2088, 2018, 3130, 2042, 2777, 2594, 21227, 7362, 1999, 1996, 2433, 1997, 2019, 9603, 2808, 16001, 2546, 1010, 1037, 2808, 16001, 2546, 2008, 2001, 2085, 6135, 7798, 1012, 2383, 2000, 2128, 21759, 7088, 3366, 2035, 2049, 8417, 2241, 2006, 2026, 2219, 4301, 1998, 4784, 1998, 2025, 1996, 16449, 2015, 1997, 2019, 2648, 2303, 2001, 1037, 4708, 2008, 2165, 1037, 2843, 1997, 2051, 1998, 11752, 1010, 2021, 1045, 2572, 2428, 6171, 8794, 2009, 2001, 2825, 2000, 2079, 2061, 1012, 3553, 2475, 23460, 2626, 1024, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1011, 1028, 1045, 3984, 1045, 2001, 5204, 1997, 2070, 2477, 1012, 1012, 1012, 1012, 1012, 1999, 10085, 8898, 1028, 2055, 14888, 2477, 2066, 26572, 22864, 2100, 1010, 6064, 3314, 1010, 1028, 3674, 2034, 4432, 1012, 1012, 1012, 2021, 2059, 1045, 2657, 2055, 1028, 1996, 2338, 1997, 8181, 3277, 1012, 1012, 1012, 1012, 1045, 2001, 2145, 17704, 1028, 3173, 2041, 3246, 2008, 1045, 2071, 2424, 2019, 7526, 1028, 2008, 2052, 23957, 11022, 2033, 1010, 2021, 2027, 2020, 2035, 2061, 18691, 1012, 1028, 1045, 2150, 15896, 2007, 20059, 2035, 2477, 1028, 15111, 1012, 2009, 2134, 1005, 1056, 2202, 2146, 2127, 1045, 2354, 1045, 1028, 2481, 1005, 1056, 2903, 2009, 4902, 1012, 1012, 1012, 1012, 1012, 1028, 1028, 2061, 2054, 2001, 1996, 2028, 2518, 2008, 2106, 2009, 2005, 2017, 1029, 2009, 2001, 1037, 25028, 2065, 2477, 1012, 1037, 2001, 1037, 25020, 27838, 23067, 2102, 1998, 2973, 1996, 2375, 2000, 1037, 1056, 1012, 1045, 2031, 2042, 2092, 3191, 2006, 9686, 29112, 8474, 1010, 1998, 2060, 21244, 1011, 2021, 1045, 2052, 2467, 2031, 2000, 11307, 2054, 1045, 2371, 2001, 2995, 2083, 2054, 2070, 3124, 2056, 2012, 1996, 2197, 3034, 1998, 21063, 2009, 5064, 1010, 1996, 5177, 14002, 2020, 1037, 8066, 2066, 2053, 2060, 1012, 2057, 3825, 2107, 1037, 12382, 3435, 5378, 2005, 2086, 1010, 1998, 1045, 2812, 2066, 1037, 9951, 3815, 1010, 1045, 5667, 3373, 1999, 1996, 1000, 4872, 1000, 1011, 2057, 2031, 3092, 2039, 1999, 1037, 2919, 2173, 1010, 2057, 9826, 2481, 1005, 1056, 2130, 8984, 14841, 20744, 2044, 8811, 1010, 1998, 1045, 3825, 2006, 7977, 2296, 2048, 3134, 2005, 1037, 2261, 2086, 1012, 9788, 1012, 4312, 2015, 1010, 1045, 3342, 2041, 1997, 2035, 1996, 2477, 2006, 1996, 11142, 1010, 1996, 2028, 2518, 2006, 2568, 2001, 1996, 5394, 7425, 2008, 2111, 2435, 1996, 14751, 12168, 1012, 1998, 2059, 1996, 12168, 4129, 3441, 1010, 1998, 2059, 2062, 3441, 1010, 1998, 1996, 1012, 2128, 1011, 4129, 3441, 1012, 2059, 2002, 2052, 2552, 2035, 6881, 1998, 3071, 2052, 2031, 2000, 4756, 2012, 2129, 6881, 2009, 2001, 1012, 1045, 1005, 1049, 2074, 3038, 2008, 1996, 3110, 2005, 2033, 2001, 2025, 8203, 2005, 2033, 1012, 1045, 5993, 2007, 1996, 2060, 8635, 1997, 1037, 3110, 1997, 4335, 1012, 1045, 2064, 2425, 2017, 2008, 1999, 1037, 2617, 2008, 2026, 2878, 20680, 2904, 1010, 1998, 2025, 2074, 2054, 2001, 3412, 1012, 1045, 2572, 1999, 3407, 3028, 1998, 1996, 3226, 1998, 12209, 2428, 2202, 2058, 2115, 2878, 2166, 3579, 1012, 1045, 2134, 1005, 1056, 9352, 2074, 2360, 1045, 2001, 2018, 2011, 1037, 9861, 1010, 2021, 1045, 2071, 2360, 2008, 1996, 4447, 2024, 2025, 2995, 1010, 1998, 2008, 1005, 1055, 2009, 1012, 2009, 1005, 1055, 6057, 2138, 2025, 2127, 1045, 2038, 2008, 1000, 16936, 1000, 2001, 1045, 3201, 2000, 6985, 1996, 2087, 9951, 23252, 1998, 6078, 1012, 2009, 2428, 3138, 1037, 5670, 1999, 8298, 1010, 1998, 1045, 2572, 5327, 2026, 2564, 2064, 2272, 2000, 2008, 2391, 1010, 2021, 1045, 2113, 2073, 2016, 2003, 2012, 1998, 2442, 3499, 2014, 2000, 2832, 1012, 2016, 2038, 2042, 11087, 10564, 1997, 2035, 1997, 2023, 1012, 2009, 2097, 3426, 3314, 2007, 2500, 1010, 2021, 1045, 2572, 2025, 2028, 2040, 2074, 3268, 1996, 4676, 2138, 2008, 1005, 1055, 2054, 6643, 13944, 2106, 1010, 2030, 2138, 2009, 1005, 1055, 2145, 1000, 2204, 1000, 1010, 2030, 2005, 2151, 3114, 1011, 1045, 2293, 1996, 3606, 1010, 1998, 2065, 1996, 17627, 2277, 4036, 2033, 2505, 1010, 2009, 4036, 2033, 2008, 3606, 2442, 2022, 4912, 1010, 2053, 3043, 2073, 2009, 1005, 1055, 2012, 1012, 1045, 3651, 2045, 2001, 28616, 4305, 2890, 7542, 1010, 1998, 1045, 2572, 2025, 2183, 2000, 3582, 4848, 1012, 4312, 2015, 1012, 1012, 1012, 1045, 2018, 2908, 16389, 2043, 2026, 5637, 4654, 2409, 2033, 2002, 2001, 16789, 1998, 2002, 2001, 4654, 1012, 10819, 1012, 1045, 2134, 1005, 1056, 2215, 1996, 23902, 1997, 2256, 3510, 2000, 4148, 1999, 1996, 2270, 3239, 1011, 1011, 1998, 2005, 2060, 4436, 1012, 1045, 2018, 2042, 16389, 2005, 3243, 1037, 2096, 1011, 1011, 2763, 2012, 2560, 2184, 2000, 2321, 2086, 1012, 1045, 2467, 2245, 1045, 1005, 1040, 2175, 2067, 2043, 2166, 3876, 2091, 1012, 1045, 2354, 2070, 2477, 2066, 2008, 1046, 2015, 2001, 1037, 26572, 26517, 3367, 1012, 2039, 2000, 1996, 2391, 1045, 2001, 2012, 2043, 1045, 2439, 9029, 1010, 1045, 1005, 1040, 5281, 1037, 2843, 1999, 2026, 2219, 2166, 7149, 2007, 4177, 1998, 1996, 5637, 3277, 1012, 2026, 2190, 2767, 1005, 1055, 2684, 2001, 2893, 2496, 1012, 2016, 2409, 2033, 2008, 2043, 2045, 2020, 3471, 2007, 1996, 5030, 3488, 1010, 2014, 2684, 2052, 2360, 1010, 1000, 1996, 2277, 2003, 2145, 2995, 1010, 2061, 2054, 2515, 2009, 3043, 1012, 1000, 1045, 2245, 2055, 2008, 4861, 2005, 1037, 2261, 2420, 1998, 2059, 1010, 2748, 1010, 2009, 2035, 3062, 4237, 1012, 2028, 2154, 1999, 1037, 3043, 1997, 5312, 2009, 2718, 2033, 1010, 1000, 2021, 2009, 13836, 2000, 2033, 1012, 1000, 1045, 2354, 2157, 2059, 1998, 2045, 2009, 2001, 2025, 2995, 1012, 2009, 2001, 2044, 1045, 1005, 1040, 2439, 2011, 9029, 2008, 2026, 19294, 2409, 2033, 2055, 2023, 2604, 1998, 1045, 2179, 2041, 2172, 1997, 1996, 2381, 1012, 2009, 2001, 2074, 24582, 2075, 2006, 1996, 9850, 1012, 2320, 1045, 2001, 2583, 2000, 12064, 4697, 1996, 2616, 1000, 1996, 17627, 2277, 2003, 2025, 2995, 1000, 1010, 2026, 11142, 7798, 2012, 1996, 2168, 7107, 1010, 2138, 2035, 2216, 3980, 1045, 2320, 2641, 2590, 2150, 9587, 4140, 1012, 4209, 1996, 2277, 2001, 2025, 2012, 2035, 2054, 2009, 3555, 1010, 2011, 2993, 1010, 8871, 2035, 2216, 3980, 2185, 13554, 2121, 16215, 2078, 1055, 17048, 999, 1045, 3342, 2382, 2086, 3283, 3752, 22481, 2007, 1996, 4268, 1012, 2027, 2018, 2047, 22481, 1010, 1045, 2018, 1996, 2214, 1012, 2057, 2288, 2000, 1996, 1000, 2317, 1998, 12208, 14045, 1000, 2112, 1010, 2021, 2027, 3191, 1000, 5760, 1998, 12208, 14045, 1000, 1012, 1045, 6814, 2008, 1005, 1055, 2073, 2009, 2318, 1012, 2058, 1996, 2086, 1045, 1005, 1040, 2328, 2870, 3243, 1037, 11142, 1012, 1045, 2354, 2763, 3770, 1003, 1997, 1996, 3471, 1010, 1998, 2921, 8084, 2000, 21063, 2009, 2035, 1012, 2059, 2028, 2305, 2096, 2188, 2894, 1045, 2001, 3788, 2083, 1996, 2160, 1006, 1045, 2064, 2145, 3342, 2073, 1045, 2001, 1007, 1010, 1998, 1037, 3928, 8605, 2718, 2033, 1010, 2008, 1996, 2277, 2347, 1005, 1056, 2995, 1012, 2009, 2001, 2004, 2295, 1037, 2307, 10859, 2018, 2042, 4196, 2013, 2033, 1012, 1045, 2053, 2936, 2018, 2000, 21063, 2008, 8632, 1997, 26917, 2015, 1012, 2009, 2001, 1037, 9379, 3110, 1010, 2021, 1045, 2018, 1037, 13769, 3168, 1997, 3279, 1006, 2382, 1061, 2869, 1999, 2277, 2012, 2008, 2391, 1007, 1012, 1045, 2001, 3525, 2170, 2000, 3710, 1999, 1037, 20664, 1012, 1045, 5113, 1045, 2071, 2079, 2070, 2204, 1012, 2043, 1045, 2387, 2008, 2256, 3387, 1013, 11867, 2020, 3952, 4699, 1999, 2770, 3454, 1998, 2893, 2111, 1999, 1996, 2341, 1010, 1998, 2018, 2210, 3037, 1999, 5094, 2111, 4982, 6259, 2135, 1010, 1045, 2354, 1045, 2018, 2498, 2000, 3749, 1012, 2061, 2748, 1010, 2045, 2001, 1037, 13048, 2617, 2005, 2033, 1010, 6439, 2005, 1037, 2096, 1010, 2021, 2145, 2045, 1012, 1045, 2354, 1037, 2261, 2477, 1012, 1012, 1012, 3262, 8945, 2050, 2004, 1996, 5221, 1012, 1045, 2404, 2009, 2006, 1996, 11142, 1998, 2506, 2005, 2195, 2086, 2127, 1045, 3191, 1000, 5931, 2962, 5291, 1000, 1012, 2044, 5131, 2008, 2338, 1010, 1045, 2404, 2009, 2185, 1998, 6618, 1045, 2052, 3613, 2006, 2004, 26419, 2213, 1012, 2059, 1045, 2318, 3241, 2055, 2054, 2001, 1999, 12667, 2099, 1998, 1045, 2056, 2000, 2870, 1010, 1000, 2017, 2113, 2054, 1010, 1045, 1005, 1049, 2025, 7929, 2007, 2023, 1012, 1000, 1045, 6915, 2005, 1037, 2261, 3134, 1998, 2059, 2633, 4999, 1010, 2054, 2065, 2009, 1005, 1055, 2025, 2995, 1029, 2008, 1005, 1055, 2043, 2673, 3202, 13886, 2046, 2173, 1998, 2081, 3168, 1012, 2059, 1996, 23902, 2211, 1012, 1012, 1012, 2021, 2166, 2003, 2488, 2085, 1024, 1007, 2028, 2518, 2008, 2038, 2467, 4930, 2033, 2004, 5976, 2055, 1996, 8945, 2050 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1013, 1008, 1008, 9385, 1006, 1039, 1007, 7513, 3840, 1012, 2035, 2916, 9235, 1012, 1008, 7000, 2104, 1996, 10210, 6105, 1012, 2156, 6105, 1012, 19067, 2102, 1999, 1996, 2622, 7117, 2005, 1008, 6105, 2592, 1012, 1008, 1008, 3642, 7013, 2011, 7513, 1006, 1054, 1007, 8285, 28533, 3642, 13103, 1012, 1008, 3431, 2089, 3426, 16542, 5248, 1998, 2097, 2022, 2439, 2065, 1996, 3642, 2003, 1008, 19723, 24454, 4383, 1012, 1008, 1013, 12324, 1008, 2004, 5796, 28533, 2013, 1000, 1030, 24296, 1013, 5796, 1011, 2717, 1011, 1046, 2015, 1000, 1025, 12324, 1008, 2004, 5796, 28533, 10936, 5397, 2013, 1000, 1030, 24296, 1013, 5796, 1011, 2717, 1011, 24296, 1011, 1046, 2015, 1000, 1025, 12324, 1008, 2004, 4275, 2013, 1000, 1012, 1012, 1013, 4275, 1000, 1025, 12324, 1008, 2004, 4949, 7347, 2013, 1000, 1012, 1012, 1013, 4275, 1013, 17879, 2863, 18620, 2015, 1000, 1025, 12324, 1008, 2004, 11709, 2013, 1000, 1012, 1012, 1013, 4275, 1013, 11709, 1000, 1025, 12324, 1063, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1065, 2013, 1000, 1012, 1012, 1013, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1000, 1025, 1013, 1008, 1008, 2465, 5052, 1037, 17879, 1012, 1008, 1013, 9167, 2465, 17879, 1063, 2797, 3191, 2239, 2135, 7396, 1024, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1025, 1013, 1008, 1008, 1008, 3443, 1037, 17879, 1012, 1008, 1030, 11498, 2213, 1063, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1065, 7396, 4431, 2000, 1996, 2326, 7396, 1012, 1008, 1013, 9570, 2953, 1006, 7396, 1024, 8013, 7076, 18743, 11512, 4270, 3672, 20464, 11638, 8663, 18209, 1007, 1063, 2023, 1012, 7396, 1027, 7396, 1025, 1065, 1013, 1008, 1008, 1008, 9005, 1037, 6337, 2306, 1037, 9594, 1010, 2030, 14409, 2019, 4493, 6337, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 11709, 11709, 8127, 2000, 1996, 3443, 1013, 3972, 12870, 6337, 2828, 3169, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 16748, 3686, 2953, 6279, 13701, 6072, 26029, 3366, 1028, 1008, 1013, 3443, 2953, 6279, 13701, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 11709, 1024, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1010, 7047, 1029, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 16748, 3686, 2953, 6279, 13701, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 4088, 16748, 3686, 2953, 6279, 13701, 1006, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 11709, 1010, 7047, 1007, 1012, 2059, 1006, 1048, 18981, 14511, 2121, 1027, 1028, 1048, 18981, 14511, 2121, 1012, 8554, 16671, 4014, 16294, 13295, 1006, 1007, 1007, 2004, 4872, 1026, 4275, 1012, 17879, 16748, 3686, 2953, 6279, 13701, 6072, 26029, 3366, 1028, 1025, 1065, 1013, 1008, 1008, 1008, 4152, 2592, 2055, 1996, 9675, 6337, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1008, 1013, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 18150, 7361, 3508, 2389, 28689, 5244, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1007, 1024, 11675, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 7047, 1996, 11887, 11709, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1024, 4275, 1012, 17879, 18150, 7361, 3508, 2389, 28689, 5244, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1007, 1024, 11675, 1025, 2131, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 18150, 7361, 3508, 2389, 28689, 5244, 1064, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1010, 2655, 5963, 1029, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 6072, 8162, 3401, 14192, 4017, 1028, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 7396, 1012, 4604, 25918, 3370, 2890, 15500, 1006, 1063, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 7047, 1065, 1010, 2131, 25918, 10708, 5051, 2278, 1010, 2655, 5963, 1007, 2004, 4872, 1026, 4275, 1012, 17879, 18150, 6072, 26029, 3366, 1028, 1025, 1065, 1013, 1008, 1008, 1008, 3972, 12870, 2015, 1037, 6337, 2306, 1037, 9594, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 5796, 28533, 1012, 2717, 6072, 26029, 3366, 1028, 1008, 1013, 3972, 12870, 11368, 6806, 2094, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 9247, 12870, 11368, 6806, 3527, 16790, 2389, 28689, 5244, 1007, 1024, 4872, 1026, 5796, 28533, 1012, 2717, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 4088, 9247, 12870, 11368, 6806, 2094, 1006, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 7047, 1007, 1012, 2059, 1006, 1048, 18981, 14511, 2121, 1027, 1028, 1048, 18981, 14511, 2121, 1012, 8554, 16671, 4014, 16294, 13295, 1006, 1007, 1007, 1025, 1065, 1013, 1008, 1008, 1008, 4152, 2035, 6337, 1999, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1008, 1013, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 9863, 3762, 6979, 5092, 16790, 2389, 28689, 5244, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1007, 1024, 11675, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 7047, 1996, 11887, 11709, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 7047, 1024, 4275, 1012, 17879, 9863, 3762, 6979, 5092, 16790, 2389, 28689, 5244, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1007, 1024, 11675, 1025, 2862, 3762, 6979, 2497, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 4275, 1012, 17879, 9863, 3762, 6979, 5092, 16790, 2389, 28689, 5244, 1064, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1010, 2655, 5963, 1029, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 6337, 9863, 6072, 11314, 1028, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1063, 2709, 2023, 1012, 7396, 1012, 4604, 25918, 3370, 2890, 15500, 1006, 1063, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 7047, 1065, 1010, 2862, 3762, 6979, 5092, 29487, 13102, 8586, 1010, 2655, 5963, 1007, 2004, 4872, 1026, 4275, 1012, 17879, 9863, 3762, 6979, 13578, 13102, 5644, 2063, 1028, 1025, 1065, 1013, 1008, 1008, 1008, 4152, 1996, 1047, 18136, 2008, 4372, 13149, 1996, 6337, 2828, 4453, 2011, 1996, 8127, 2171, 1012, 27226, 6433, 1008, 2083, 6818, 1997, 1996, 8290, 2006, 2019, 8290, 1047, 8197, 1998, 2083, 6550, 2005, 1008, 6337, 1047, 18136, 1012, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 1031, 7047, 1033, 1996, 11887, 11709, 1008, 1030, 5651, 4872, 1026, 4275, 1012, 17879, 18150, 2368, 13149, 2075, 2243, 18136, 6072, 26029, 3366, 1028, 1008, 1013, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 2368, 13149, 2075, 2243, 18136, 6072, 26029, 3366, 1028, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1007, 1024, 11675, 1025, 1013, 1008, 1008, 1008, 1030, 11498, 2213, 7692, 17058, 18442, 1996, 2171, 1997, 1996, 7692, 2177, 1012, 1008, 1030, 11498, 2213, 9594, 18442, 1996, 2171, 1997, 1996, 9594, 1012, 1008, 1030, 11498, 2213, 6337, 18442, 1996, 2171, 1997, 1996, 6337, 1012, 1008, 1030, 11498, 2213, 7047, 1996, 11887, 11709, 1008, 1030, 11498, 2213, 2655, 5963, 1996, 2655, 5963, 1008, 1013, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1010, 2655, 5963, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1007, 1024, 11675, 1025, 2131, 2368, 13149, 2075, 2243, 18136, 1006, 7692, 17058, 18442, 1024, 5164, 1010, 9594, 18442, 1024, 5164, 1010, 6337, 18442, 1024, 5164, 1010, 7047, 1029, 1024, 5796, 28533, 1012, 5227, 7361, 9285, 15058, 1064, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1010, 2655, 5963, 1029, 1024, 5796, 28533, 1012, 2326, 9289, 20850, 8684, 1026, 4275, 1012, 1047, 23267, 12879, 5498, 3508, 1031, 1033, 1028, 1007, 1024, 4872, 1026, 4275, 1012, 17879, 18150, 2368, 13149, 2075, 2243, 18136, 6072, 26029, 3366, 1028, 1063, 2709, 2023, 1012, 7396, 1012, 4604, 25918, 3370, 2890, 15500, 1006, 1063, 7692, 17058, 18442, 1010, 9594, 18442, 1010, 6337, 18442, 1010, 7047, 1065, 1010, 2131, 2368, 13149, 2075, 2243, 18136, 25918, 10708, 5051, 2278 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]

[ 101, 1011, 1011, 1011, 10061, 1024, 1005, 3522, 4517, 8060, 17011, 1006, 13221, 2099, 1007, 11702, 3936, 1996, 24873, 9048, 16173, 3401, 1997, 18247, 1011, 2828, 3424, 7512, 21716, 25440, 4588, 1006, 21358, 2213, 1007, 1998, 10768, 18933, 2863, 10177, 4588, 1006, 4718, 1007, 6714, 16902, 2015, 1999, 2119, 1996, 4920, 1011, 1998, 10496, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2945, 1997, 3707, 1011, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 2011, 1037, 12849, 18807, 2050, 6463, 4106, 1012, 12774, 2011, 1996, 13221, 2099, 2147, 1010, 2057, 8556, 1996, 2825, 4598, 1997, 4718, 28892, 1999, 2178, 3707, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 11873, 2155, 1010, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1012, 2057, 2128, 1011, 16578, 2256, 3130, 2988, 2951, 1999, 3408, 1997, 1996, 12849, 18807, 2050, 6463, 1998, 2179, 3154, 3350, 2005, 1996, 24873, 9048, 16173, 3401, 1997, 18247, 1011, 2828, 21358, 2213, 1998, 4718, 6714, 16902, 2015, 1999, 1996, 10496, 1011, 2079, 5669, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2291, 1012, 2122, 13221, 2099, 2951, 5769, 2008, 4718, 28892, 4839, 1999, 2236, 1999, 3707, 1011, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 11873, 2945, 1998, 2947, 2442, 2022, 2443, 2000, 5425, 1996, 6887, 16515, 3549, 6779, 1997, 1996, 3707, 1052, 8713, 3775, 6155, 1012, 1005, 3166, 1024, 1011, 1005, 1046, 1012, 12731, 2072, 1005, 1011, 1005, 1052, 1012, 15536, 11012, 2072, 1005, 1011, 1005, 1055, 1012, 2743, 1032, 1008, 1005, 1011, 1005, 1055, 1012, 1048, 1012, 13007, 1521, 12849, 1005, 1011, 1005, 1052, 1012, 1039, 1012, 2064, 3790, 1005, 1011, 1005, 1061, 1012, 6519, 15750, 4213, 1005, 2516, 1024, 1005, 24873, 9048, 16173, 3401, 1997, 3424, 7512, 21716, 25440, 4588, 1998, 10768, 18933, 2863, 10177, 4588, 6714, 16902, 2015, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 3936, 2011, 1002, 1034, 1063, 4293, 1065, 1002, 2004, 4517, 8060, 17011, 1005, 1011, 1011, 1011, 4955, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 2144, 1996, 5456, 1997, 2152, 1002, 1056, 1035, 1063, 1032, 28549, 1039, 1065, 1002, 3565, 8663, 8566, 6593, 7730, 1999, 3707, 1052, 8713, 3775, 6155, 1010, 1031, 1030, 27829, 19190, 5400, 28332, 2620, 1033, 1996, 6970, 13068, 2090, 6714, 28892, 1998, 1996, 23693, 3267, 1997, 3565, 8663, 8566, 6593, 7730, 1006, 8040, 1007, 2038, 2042, 15411, 2172, 3037, 1012, 1999, 2087, 1997, 1996, 10768, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 1010, 1996, 1523, 6687, 1000, 4475, 8327, 3424, 7512, 21716, 25440, 4588, 13063, 2917, 1996, 7663, 2140, 4860, 1012, 1031, 1030, 2064, 3790, 11387, 10790, 1025, 1030, 10773, 11387, 10790, 1025, 1030, 5954, 11387, 14526, 1033, 8040, 1999, 2122, 10099, 19391, 2588, 16341, 1997, 1996, 18247, 1011, 2828, 3424, 7512, 21716, 25440, 4588, 1006, 21358, 2213, 1007, 4403, 2011, 4646, 1997, 3778, 1998, 1013, 2030, 5072, 20885, 1010, 2073, 1996, 21358, 2213, 6714, 28892, 2024, 2145, 2844, 1012, 3568, 1010, 2009, 2003, 3373, 2008, 18247, 1011, 2828, 21358, 2213, 6714, 28892, 2377, 2019, 2590, 2535, 1999, 4439, 1996, 8040, 1999, 1996, 3707, 1011, 2241, 3565, 8663, 8566, 24817, 1010, 2348, 13943, 28892, 2024, 2036, 4197, 2041, 2000, 2022, 2590, 1012, 1031, 1030, 5035, 11387, 17134, 1033, 3728, 4517, 8060, 17011, 1006, 13221, 2099, 1007, 11702, 3936, 2008, 10768, 18933, 2863, 10177, 4588, 1006, 4718, 1007, 16902, 2015, 2036, 2377, 2019, 2590, 2535, 1999, 2119, 1996, 4920, 1011, 1998, 10496, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2945, 1997, 3707, 1011, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 1012, 1031, 1030, 10773, 11387, 10790, 1025, 1030, 15536, 11012, 2072, 11387, 16068, 1025, 1030, 15536, 11012, 2072, 11387, 16068, 18098, 2140, 1033, 1996, 4718, 28892, 2024, 2179, 2000, 2022, 10473, 1999, 1996, 29160, 2135, 1011, 2079, 5669, 8670, 3597, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1998, 1047, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 2021, 2024, 2145, 2556, 1999, 1996, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 6687, 7328, 1010, 8335, 2007, 2049, 9412, 23848, 3678, 2594, 10514, 11020, 23606, 13464, 1002, 1032, 9610, 1002, 1012, 1031, 1030, 10773, 11387, 10790, 1033, 2122, 4718, 28892, 2024, 4081, 2000, 5566, 2007, 3565, 8663, 8566, 6593, 7730, 1998, 2024, 1037, 10232, 21774, 2000, 3305, 1996, 8386, 1997, 1002, 1056, 1035, 1063, 1032, 28549, 1039, 1065, 1002, 1998, 1996, 4338, 1997, 1996, 8040, 8514, 1012, 1031, 1030, 15536, 11012, 2072, 11387, 16068, 18098, 2140, 1033, 2009, 2003, 5875, 1998, 2590, 2000, 8849, 3251, 2030, 2025, 2714, 4718, 16902, 2015, 4839, 1999, 2060, 3707, 1052, 8713, 3775, 3207, 3001, 1012, 1996, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 2038, 1037, 4403, 16403, 5664, 2013, 2008, 2005, 1996, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 1012, 6168, 2005, 1996, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 4475, 1996, 21358, 2213, 1998, 2030, 27844, 23393, 13592, 4403, 22166, 2468, 2117, 2344, 2007, 2522, 20885, 1010, 1996, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 4247, 2000, 19676, 1037, 6118, 2034, 2344, 1010, 11211, 1010, 8332, 1011, 8060, 4403, 6653, 2130, 2004, 2522, 20885, 16081, 2229, 1996, 6653, 4860, 2000, 5717, 1012, 2178, 3278, 4489, 1999, 1996, 4403, 26309, 1997, 1996, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1998, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 3001, 2003, 2036, 2179, 1999, 3565, 8663, 8566, 11873, 4403, 1012, 2348, 8040, 3544, 2043, 1996, 18247, 1011, 2828, 21358, 2213, 4403, 2003, 13712, 2011, 2522, 20885, 2005, 10768, 1999, 2119, 3572, 1010, 2053, 24873, 9048, 16173, 3401, 1997, 8040, 1998, 21358, 2213, 2038, 2042, 5159, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 6168, 1996, 24873, 9048, 16173, 3401, 2038, 2042, 2988, 1999, 8670, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1012, 2122, 3463, 2024, 8335, 2007, 1996, 4489, 2090, 1037, 6118, 2034, 2344, 6431, 2117, 2344, 4403, 6653, 1012, 3522, 13221, 2099, 11702, 3936, 2008, 1996, 18247, 1011, 2828, 21358, 2213, 28892, 2024, 6118, 13712, 1999, 1996, 21358, 2213, 2110, 1999, 1996, 2522, 1011, 2079, 5669, 7668, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2291, 1010, 6168, 25908, 18247, 1011, 2828, 21358, 2213, 6714, 28892, 2145, 3961, 1999, 1996, 21358, 2213, 2110, 1999, 1996, 2522, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2291, 1012, 1031, 1030, 12731, 2072, 11387, 16068, 1033, 2122, 3463, 5769, 2008, 1996, 21961, 21358, 2213, 6714, 28892, 2377, 2019, 2590, 2535, 2005, 1996, 24873, 9048, 16173, 3401, 1997, 21358, 2213, 1998, 8040, 1999, 8670, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1012, 7297, 1010, 1999, 1996, 2553, 1997, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 18404, 3654, 2361, 1011, 2066, 5248, 1031, 1030, 12731, 2072, 11387, 16068, 1033, 2038, 2042, 5159, 1999, 1996, 4860, 18642, 1997, 1015, 1013, 1002, 1056, 1035, 1015, 2102, 1002, 1998, 1999, 1011, 4946, 9507, 7730, 1012, 1996, 8281, 4860, 1997, 1996, 18404, 3654, 2361, 2001, 2988, 2000, 2022, 3053, 2981, 1997, 2522, 20885, 1012, 1999, 2023, 3259, 1010, 2057, 10847, 1996, 2825, 4598, 1997, 4718, 28892, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1998, 2179, 1996, 3154, 3350, 1997, 24873, 9048, 16173, 3401, 1997, 18247, 1011, 2828, 21358, 2213, 1998, 4718, 16902, 2015, 2241, 2006, 1002, 1034, 1063, 4293, 1065, 1002, 2004, 13221, 2099, 2951, 4106, 1012, 1999, 5688, 2000, 1996, 2553, 1997, 8670, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2073, 1996, 5816, 3997, 1997, 4718, 16902, 2015, 7457, 2007, 2522, 20885, 1010, 2008, 1997, 1996, 4718, 16902, 2015, 2024, 2471, 2981, 1997, 1996, 2522, 4180, 1999, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2013, 1002, 1060, 1002, 1027, 1014, 2000, 1014, 1012, 5709, 2683, 1012, 2348, 2057, 2031, 10847, 1037, 4659, 2235, 2522, 20885, 2555, 1010, 1996, 4598, 1997, 1996, 4718, 6714, 16902, 2015, 2052, 2022, 8335, 2007, 1996, 2755, 2008, 6187, 3597, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1010, 1996, 2203, 2266, 1997, 1996, 10496, 2079, 5669, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 2155, 1997, 10099, 1010, 2038, 2019, 1037, 1011, 2828, 3424, 7512, 21716, 25440, 4588, 3641, 2110, 2917, 1002, 1056, 1035, 1063, 1032, 28549, 1050, 1065, 1002, 1027, 4720, 1516, 6146, 1047, 1031, 1030, 21864, 11796, 2571, 11387, 17134, 1025, 1030, 15898, 11387, 12521, 1033, 2073, 1996, 2522, 5312, 2306, 1996, 28155, 2015, 6741, 2024, 10768, 18933, 2863, 10177, 25084, 13115, 2247, 1996, 1002, 1039, 1002, 8123, 1998, 1996, 5312, 1999, 5516, 9014, 2024, 13115, 3424, 7512, 21716, 25440, 25084, 1012, 2144, 1996, 24873, 9048, 16173, 3401, 1997, 4718, 1998, 21358, 2213, 6714, 16902, 2015, 2024, 5159, 1999, 2119, 1996, 4920, 1011, 1998, 10496, 1011, 2079, 5669, 8670, 7959, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 3001, 1010, 1031, 1030, 15536, 11012, 2072, 11387, 16068, 18098, 2140, 1033, 2256, 3463, 6592, 2008, 1996, 4718, 28892, 4839, 1999, 2236, 1999, 3707, 1052, 8713, 3775, 3207, 3565, 8663, 8566, 24817, 1010, 8131, 2008, 9373, 26396, 4275, 2323, 2421, 4718, 16902, 2015, 2000, 7487, 1996, 3444, 1997, 1996, 3707, 1052, 8713, 3775, 6155, 1012, 6388, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1027, 1996, 2309, 14438, 1997, 6187, 1006, 10768, 1002, 1035, 1063, 1015, 1011, 1060, 1065, 1002, 2522, 1002, 1035, 1060, 1002, 1007, 1002, 1035, 1016, 1002, 2004, 1002, 1035, 1016, 1002, 1006, 1002, 1060, 1002, 1027, 1014, 1010, 1014, 1012, 6185, 2509, 1010, 1014, 1012, 6185, 2620, 1010, 1014, 1012, 6021, 2509, 1998, 1014, 1012, 5709, 2683, 1007, 2109, 1999, 1996, 2556, 2817, 2024, 2013, 1996, 2168, 14108, 2229, 2004, 2988, 1999, 25416, 1012, 1012, 2122, 2309, 14438, 2020, 4961, 2041, 1997, 1037, 10768, 3022, 1013, 28155, 2015, 19251, 1010, 1031, 1030, 2743, 11387, 14526, 1025, 1030, 2743, 11387, 12521, 1033, 2478, 7511, 2152, 4860, 3930, 5461, 1012, 1031, 1030, 2064, 3790, 1035, 2338, 1025, 1030, 2064, 3790, 1035, 2826, 1033, 4745, 2000, 3930, 1010, 1996, 2309, 14438, 2020, 4776, 9453, 2094, 2012, 1002, 1056, 1035, 1063, 1032, 28549, 1037, 1065, 1002, 1027, 8698, 1002, 1034, 1063, 1032, 25022, 11890, 1065, 1002, 1039, 2005, 1021, 2420, 1998, 2059, 10861, 19282, 1012, 2005, 1002, 1060, 1002, 1027, 1014, 1010, 1996, 2309, 6121, 2001, 4776, 9453, 2094, 2012, 1002, 1056, 1035, 1063, 1032, 28549, 1037, 1065, 1002, 1027, 4278, 1002, 1034, 1063, 1032, 25022, 11890, 1065, 1002, 1039, 2005, 2484, 2847, 1012, 4751, 1997, 1996, 3930, 1010, 4776, 21682, 1998, 10861, 12680, 2075, 8853, 2031, 2042, 2988, 1999, 25416, 2015, 1012, 1998, 1012, 1996, 18247, 1011, 2828, 21358, 2213, 2163, 2031, 2042, 2988, 2917, 1996, 7663, 2140, 7715, 1002, 1056, 1035, 1063, 1032, 28549, 1050, 1065, 1002, 1027, 10894, 1010, 10114, 1010, 1998, 5187, 1047, 2005, 1002, 1060, 1002, 1027, 1014, 1010, 1014, 1012, 6185, 2509, 1010, 1998, 1014, 1012, 6185, 2620, 1010, 4414, 1012, 1031, 1030, 17765, 28332, 2620, 1033, 1996, 3565, 8663, 8566, 11873, 2163, 2024, 5159, 2917, 1996, 6653, 4860, 1997, 1002, 1056, 1035, 1063, 1032, 28549, 1039, 1065, 1002, 1027, 2321, 1998, 2184, 1047, 2005, 1002, 1060, 1002, 1027, 1014, 1012, 6021, 2509, 1998, 1014, 1012, 5709, 2683, 1010, 4414, 1012, 1031, 1030, 2743, 11387, 12521, 1033 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ]