Datasets:
andersonbcdefg
/
bert-long-training-data-tokenized

Dataset card Data Studio Files Community
1
Search is not available for this dataset
input_ids
sequencelengths
61
2.05k
attention_mask
sequencelengths
61
2.05k
token_type_ids
sequencelengths
61
2.05k
[ 101, 1045, 5621, 12134, 2005, 1996, 9788, 20342, 2791, 1997, 2023, 2466, 1012, 2009, 2001, 2517, 6414, 2004, 5760, 4024, 2005, 2070, 1997, 2026, 2814, 1010, 2004, 4066, 1997, 2019, 1041, 1011, 5653, 7642, 1997, 2070, 4066, 1012, 5959, 999, 2320, 1010, 1999, 1037, 2983, 2170, 10000, 19440, 1010, 2045, 2001, 1037, 6750, 2315, 24053, 8943, 2099, 1012, 24053, 8943, 2099, 2001, 1996, 2983, 1005, 1055, 16167, 1998, 2028, 1997, 2049, 2087, 19416, 4480, 1012, 2010, 5195, 1997, 3601, 2001, 1037, 2892, 6812, 1998, 2002, 2052, 4133, 1999, 1037, 2152, 3578, 1999, 1996, 2690, 1997, 1996, 2307, 3536, 2073, 2002, 2071, 3422, 2005, 6716, 1012, 2028, 2154, 1010, 2004, 2002, 2938, 10234, 2010, 21836, 1010, 2002, 2387, 1037, 2304, 2433, 3048, 2083, 1996, 9742, 3628, 1012, 1000, 17012, 1010, 1000, 2002, 2056, 1010, 1998, 2855, 2081, 2370, 3201, 2000, 6985, 2010, 2111, 1012, 4363, 1037, 2485, 3239, 2006, 1996, 2304, 2433, 1010, 2002, 4934, 2091, 1037, 8164, 2000, 1996, 2598, 1998, 2211, 2000, 3582, 2009, 1012, 1000, 2040, 2024, 2017, 1029, 1000, 2002, 3990, 2004, 2002, 2211, 2000, 5114, 2006, 2009, 1012, 2085, 2002, 2001, 2021, 2274, 2519, 2185, 1998, 2071, 4089, 2202, 2009, 2091, 1012, 1000, 2339, 2024, 2017, 2206, 2033, 1029, 1000, 2356, 1996, 2304, 2433, 1012, 2009, 2357, 2105, 2000, 2227, 24053, 8943, 2099, 1998, 2002, 2387, 2008, 2009, 2001, 2619, 1999, 1037, 21592, 4880, 1012, 1996, 2376, 2001, 12320, 1010, 2021, 24053, 8943, 2099, 2106, 2025, 2292, 2008, 5466, 2032, 2125, 1025, 2002, 1005, 1040, 2464, 7564, 1997, 2931, 4632, 21369, 3619, 1998, 12290, 1999, 2010, 2240, 1997, 2449, 1012, 1000, 2017, 1005, 2128, 1037, 7985, 2182, 1010, 1998, 1045, 2572, 1037, 16167, 1998, 6750, 1997, 10000, 19440, 1012, 1045, 5157, 2008, 2017, 6709, 4426, 1998, 2054, 10930, 2099, 2449, 2003, 2182, 1012, 1000, 24053, 8943, 2099, 2196, 6668, 2010, 5195, 2005, 1037, 2617, 1010, 1998, 7168, 1996, 2711, 21501, 2004, 2002, 4741, 2005, 1996, 3437, 2000, 2010, 7670, 1012, 12825, 1010, 1996, 4880, 2001, 3333, 2000, 1996, 2598, 2000, 7487, 2242, 2008, 24053, 8943, 2099, 2001, 2025, 8074, 1025, 1037, 8867, 1012, 1999, 10000, 19440, 1010, 20182, 2020, 4225, 2004, 3376, 1010, 22454, 9552, 2040, 22382, 6924, 6429, 4813, 1997, 2189, 1010, 3894, 1010, 1998, 8907, 1012, 24053, 8943, 2099, 2018, 2411, 3191, 2055, 2068, 1999, 10000, 19440, 1005, 1055, 2381, 6981, 1010, 2021, 2027, 2018, 5419, 2013, 1996, 2983, 2058, 2028, 3634, 2086, 3283, 2044, 1037, 2307, 2162, 1012, 1998, 2061, 1010, 2035, 2002, 2071, 2079, 2001, 2000, 6237, 2012, 1996, 22454, 2450, 1999, 21606, 1998, 12537, 1012, 1000, 2748, 1010, 2162, 3089, 29165, 24053, 8943, 2099, 1010, 1000, 2016, 2056, 1010, 2014, 2376, 9391, 2066, 2300, 1010, 1000, 1045, 2572, 1037, 8867, 1012, 1000, 1000, 2021, 1011, 2021, 20182, 2123, 1005, 1056, 4839, 4902, 999, 1000, 2016, 4191, 1010, 1998, 2065, 2017, 1005, 2310, 2412, 2657, 1037, 8867, 4756, 2017, 1005, 1040, 2113, 2008, 2009, 5015, 2066, 4714, 10118, 1012, 1000, 2821, 1010, 2057, 2031, 4654, 6190, 3064, 10303, 1012, 2174, 1010, 2043, 1996, 2162, 1997, 1996, 4595, 13451, 3111, 2165, 2173, 2028, 3634, 2086, 3283, 1010, 2116, 1997, 1996, 20182, 2020, 2730, 1012, 2069, 1037, 2200, 2261, 2020, 2187, 1998, 1045, 2572, 2028, 1997, 1996, 2069, 3588, 8481, 1012, 1000, 1000, 2008, 1005, 1055, 9788, 999, 1000, 2056, 24053, 8943, 2099, 23885, 1012, 2002, 2145, 2071, 2025, 2903, 2008, 2002, 2001, 3061, 2279, 2000, 1037, 8867, 1012, 1000, 2021, 2054, 2024, 2017, 2725, 2182, 1029, 1000, 1996, 8867, 5489, 1998, 2056, 1010, 1000, 1045, 1005, 1049, 2182, 2006, 1037, 6517, 3260, 1010, 6854, 1012, 1045, 2031, 2042, 2741, 2000, 11582, 1996, 2332, 2008, 1037, 2307, 4763, 2003, 2006, 2049, 2126, 2000, 10000, 19440, 1999, 1996, 2433, 1997, 1996, 10276, 25653, 1012, 2002, 2003, 4041, 2000, 3102, 1996, 3035, 999, 1000, 1000, 2059, 2057, 2442, 2191, 24748, 1998, 5949, 2053, 2062, 2051, 1012, 3582, 2033, 1998, 1045, 4618, 2202, 2017, 2006, 1996, 4248, 4355, 2799, 2000, 1996, 3317, 1012, 1000, 2119, 24053, 8943, 2099, 1998, 1996, 8867, 8255, 2083, 1996, 3536, 1010, 21216, 2058, 15664, 1998, 15360, 2083, 1996, 3628, 2007, 9788, 3177, 1012, 2009, 2001, 2025, 2146, 2077, 1996, 2584, 1996, 3317, 1998, 1996, 6106, 2282, 1997, 1996, 2204, 2332, 6060, 1012, 1000, 2115, 9995, 999, 1000, 8535, 24053, 8943, 2099, 1010, 2004, 2002, 1998, 1996, 8867, 2855, 11489, 1998, 2768, 2077, 1996, 2332, 1012, 1000, 2054, 2003, 2009, 24053, 8943, 2099, 1029, 1000, 2356, 1996, 2332, 1010, 2010, 2376, 2784, 1998, 3928, 1012, 1000, 2023, 2204, 8867, 1012, 1012, 1012, 1000, 24053, 8943, 2099, 5864, 2005, 2002, 2018, 2196, 2356, 1996, 8867, 2014, 2171, 1012, 1000, 10488, 2368, 1010, 1000, 2016, 8127, 1012, 1000, 10488, 2368, 1010, 1000, 5567, 24053, 8943, 2099, 1010, 1000, 2038, 2272, 2007, 6659, 2739, 1012, 1996, 10276, 25653, 2003, 2006, 2010, 2126, 2000, 3102, 2014, 9995, 1996, 3035, 1012, 1000, 1000, 3102, 1996, 3035, 1029, 2057, 2442, 2025, 3499, 2008, 2000, 4148, 1010, 1000, 2056, 1996, 2332, 1012, 2002, 5598, 2039, 2013, 2010, 6106, 1998, 5411, 24053, 8943, 2099, 1012, 1000, 21365, 1996, 10418, 6424, 1999, 1996, 2983, 2000, 5675, 2618, 1037, 5656, 2000, 17910, 25653, 1005, 1055, 3488, 1012, 2057, 2442, 2025, 2292, 2032, 2663, 999, 1000, 1996, 2332, 15858, 2041, 1997, 1996, 6106, 2282, 1998, 2253, 2000, 2424, 2010, 2564, 1012, 24053, 8943, 2099, 1010, 2007, 10488, 2368, 2206, 2485, 2012, 2010, 8265, 1010, 3753, 2041, 2046, 1037, 2534, 2008, 2419, 2000, 1996, 2162, 2282, 4303, 1012, 2002, 3724, 2330, 1996, 2312, 3707, 4303, 1998, 2419, 10488, 2368, 2091, 1037, 2146, 2275, 1997, 4084, 1998, 2046, 1996, 5230, 2282, 1012, 1000, 2017, 2064, 2031, 1037, 2835, 2012, 1996, 2795, 1010, 1000, 2002, 2056, 2000, 2014, 1010, 22317, 2646, 1037, 2146, 9242, 2795, 1012, 1000, 1045, 1005, 2222, 2022, 2157, 2067, 1012, 1000, 10488, 2368, 3368, 1998, 2938, 2091, 2000, 3524, 1012, 24053, 8943, 2099, 2743, 2039, 1037, 2235, 2275, 1997, 5108, 1999, 1996, 2521, 3420, 1997, 1996, 2282, 2008, 2419, 2000, 1996, 4734, 1997, 1996, 6424, 1012, 2320, 2002, 2018, 2068, 2035, 8352, 2039, 1010, 3071, 8901, 3209, 2012, 1996, 2795, 2000, 2275, 2039, 2037, 2933, 1997, 2895, 1012, 1000, 2021, 25653, 2038, 3894, 1010, 1998, 1996, 2393, 1997, 1996, 16980, 1997, 2304, 7100, 1010, 1000, 2056, 2028, 2402, 2158, 1010, 8230, 1012, 1000, 3071, 4282, 2008, 1996, 16980, 2064, 2025, 2022, 2579, 2091, 4089, 1012, 1000, 1000, 2748, 1010, 8230, 1010, 2008, 1005, 1055, 2995, 1010, 1000, 2056, 24053, 8943, 2099, 1012, 1000, 2174, 1010, 2057, 2031, 2256, 15966, 1998, 1996, 5056, 1997, 2844, 3317, 3681, 1012, 2130, 25653, 2052, 2025, 2358, 18589, 2061, 2659, 2004, 2000, 2139, 18098, 3512, 2149, 1997, 1996, 3681, 1997, 10000, 19440, 1012, 2057, 2064, 2275, 2039, 2256, 23118, 1999, 1996, 3536, 7626, 2004, 2092, 2004, 1996, 3317, 1005, 1055, 1012, 1000, 1000, 1998, 2057, 2064, 26077, 2070, 3514, 2000, 10364, 2588, 1996, 4099, 1005, 1055, 4641, 999, 1000, 6626, 2019, 14727, 2402, 6750, 1010, 6798, 1012, 1000, 2903, 2033, 1010, 2008, 4933, 2428, 13403, 1012, 1000, 1000, 2008, 2052, 2022, 2066, 3554, 6530, 2295, 1010, 6798, 1010, 1000, 2056, 8230, 1010, 1000, 1998, 2065, 2505, 2057, 2442, 2562, 2256, 6225, 999, 1000, 1000, 1045, 5993, 2007, 8230, 1010, 1000, 2056, 24053, 8943, 2099, 1012, 1000, 2174, 1010, 2065, 2057, 2428, 2442, 2224, 3514, 1010, 2084, 2012, 2560, 2009, 2097, 2022, 2000, 6985, 2256, 3035, 1012, 1996, 3035, 1005, 1055, 2166, 2003, 4276, 2172, 2062, 2084, 1996, 6225, 1997, 1037, 6750, 1012, 1000, 1996, 5656, 4041, 2253, 2006, 2005, 3243, 2070, 2051, 1010, 1998, 2802, 2009, 1010, 10488, 2368, 2018, 2815, 4333, 1012, 1999, 1996, 2690, 1997, 2070, 6594, 2058, 2073, 2000, 2173, 2029, 23118, 1010, 2016, 3402, 2768, 2039, 1012, 1000, 2054, 2003, 2009, 1029, 1000, 24053, 8943, 2099, 2356, 1012, 1000, 2031, 2017, 2245, 1997, 4292, 16735, 1999, 1996, 3536, 1029, 1000, 1000, 2748, 1010, 2021, 2057, 4033, 1005, 1056, 2042, 2583, 2000, 2272, 2039, 2007, 2505, 2061, 2521, 2008, 2097, 2025, 6033, 1996, 3536, 1998, 2049, 7329, 1012, 2339, 1010, 2054, 2031, 2017, 2245, 1997, 1029, 1000, 1000, 10667, 1010, 1000, 2016, 2056, 1012, 1000, 10667, 2312, 8198, 1998, 2059, 5342, 2068, 1012, 2043, 25653, 1005, 1055, 2390, 3310, 2083, 1996, 3224, 1010, 2029, 2003, 3243, 14477, 6767, 8524, 3468, 1010, 2027, 2097, 2991, 1999, 1996, 8198, 1012, 1000, 1000, 2057, 2699, 2008, 2320, 1010, 1000, 2056, 8230, 1010, 1000, 1998, 2027, 2074, 6589, 2041, 2153, 1012, 1000, 1000, 2821, 1010, 1000, 2056, 10488, 2368, 1012, 2059, 2016, 20555, 2014, 8306, 1998, 2699, 2000, 2228, 1012, 1000, 1045, 2031, 2178, 2801, 1010, 2021, 2034, 1045, 2442, 3198, 1037, 3160, 1012, 2003, 10000, 19440, 2145, 1999, 22382, 10992, 1997, 1996, 9604, 1997, 1996, 2220, 20182, 1029, 1000, 1996, 2273, 2035, 2246, 2012, 2028, 2178, 1998, 4999, 2054, 2016, 3214, 1012, 2633, 1010, 2028, 2158, 1010, 2019, 4793, 1998, 7968, 6750, 2315, 9267, 1010, 2768, 2039, 1012, 1000, 2748, 2057, 2024, 1010, 2021, 1045, 2079, 2025, 2156, 2054, 2017, 2071, 2224, 2068, 2005, 1012, 2144, 2027, 2020, 2363, 1996, 2069, 2224, 2179, 2005, 2068, 2038, 2042, 2000, 2562, 2256, 14533, 1999, 1012, 1000, 10488, 2368, 3281, 1012, 1000, 10303, 1010, 2034, 1045, 4618, 4863, 2000, 3071, 2054, 1996, 9604, 2020, 1012, 2146, 3283, 1010, 2043, 2028, 1997, 1996, 2220, 5465, 1997, 10000, 19440, 3271, 2041, 1996, 8867, 2332, 1010, 2000, 24565, 1996, 7927, 2026, 2111, 2081, 2005, 10000, 19440, 1037, 5592, 2081, 2039, 1997, 2702, 3033, 1012, 1000, 1000, 2029, 2052, 2022, 1012, 1012, 1012, 1000, 2056, 6798, 19951, 1012, 1000, 2031, 11752, 1010, 2909, 6750, 1010, 1000, 2056, 10488, 2368, 1012, 1000, 2027, 2020, 2702, 2312, 14366, 2015, 2081, 1997, 3221, 1012, 2169, 2001, 5560, 2312, 2438, 2005, 2048, 2030, 2093, 4961, 2273, 2000, 4906, 1999, 1012, 1000, 1000, 2821, 2216, 2477, 1029, 2216, 2024, 1996, 9604, 2445, 2011, 1996, 20182, 1029, 1000, 1000, 2092, 2059, 2339, 2024, 2057, 2478, 2068, 2005, 2256, 14533, 1029, 1000, 2356, 6798, 1012, 1000, 2138, 2053, 2028, 2071, 2424, 1037, 2488, 2224, 2005, 2068, 1010, 2127, 2085, 1010, 1000, 4660, 10488, 2368, 1012, 1000, 2085, 2182, 2003, 2026, 2933, 1012, 1012, 1012, 1000, 2005, 1996, 2279, 2261, 2781, 1010, 2016, 4541, 2014, 2933, 1998, 1996, 2273, 3530, 2000, 2009, 1012, 2044, 2070, 2582, 2358, 11657, 28660, 1998, 6594, 1010, 3071, 2253, 2000, 1996, 2332, 2000, 2425, 2032, 2000, 4374, 2010, 6226, 1012, 2096, 1999, 1996, 12930, 1997, 9990, 2673, 1010, 1996, 6106, 2282, 4303, 3402, 14016, 2330, 1998, 1037, 2312, 26903, 1997, 3612, 8682, 1999, 1010, 3053, 10591, 1996, 2273, 2000, 2037, 2519, 1012, 1000, 2040, 2003, 2009, 1029, 1000, 2356, 1996, 2332, 1010, 4803, 2013, 2010, 6106, 1012, 2019, 17163, 11885, 1999, 1010, 1037, 2298, 1997, 5760, 4763, 2588, 2010, 2227, 1012, 2146, 3283, 1996, 16980, 2018, 2042, 2204, 1998, 2020, 2641, 2814, 1997, 10000, 19440, 1012, 2059, 2028, 2154, 1010, 2043, 25653, 2018, 2042, 1037, 2204, 10276, 1998, 8619, 1997, 1996, 3317, 2477, 2253, 3308, 1012, 2002, 2371, 2008, 2144, 2009, 2001, 2002, 2040, 2018, 1996, 2373, 1010, 2002, 2323, 2022, 2332, 1998, 2002, 2699, 2000, 10797, 14712, 1012, 2023, 1010, 1997, 2607, 1010, 2018, 2032, 14146, 2013, 1996, 2983, 1012, 2010, 2548, 16838, 2018, 2042, 16980, 1010, 1998, 6854, 2027, 2018, 2042, 2062, 8884, 2000, 25653, 2084, 2000, 1996, 2332, 2370, 1012, 1998, 2061, 1010, 2043, 25653, 2187, 1010, 2061, 2106, 2027, 1998, 2412, 2144, 2059, 2027, 2018, 7440, 2098, 1037, 2307, 11150, 2646, 10000, 19440, 1012, 2027, 2018, 2053, 9398, 3114, 2005, 2023, 11150, 1010, 2021, 25653, 2018, 2109, 2070, 1997, 2010, 4204, 2006, 2068, 2000, 2191, 2068, 2228, 2004, 2002, 2106, 1012, 1000, 1045, 2572, 18230, 1010, 1998, 1045, 3288, 2000, 2017, 1037, 4471, 2013, 2026, 3040, 25653, 1010, 1000, 2056, 1996, 17163, 1010, 2746, 2830, 2000, 1996, 2332, 1998, 13041, 2032, 1037, 3538, 1997, 22433, 1012, 1045, 7868, 2008, 2011, 2085, 2017, 2031, 2363, 1996, 2739, 1997, 2026, 3488, 2000, 14574, 2115, 2564, 1010, 1998, 1045, 4299, 2017, 2000, 2113, 2008, 2026, 5081, 2003, 2053, 8257, 1012, 5987, 2026, 5508, 2012, 10000, 19440, 1999, 3599, 2048, 2420, 1012, 5987, 1996, 4154, 1997, 2115, 1005, 17164, 1005, 6424, 1012, 5987, 2008, 1045, 2097, 2424, 2115, 11419, 2564, 1998, 18036, 2014, 3759, 1012, 6289, 1010, 2021, 3262, 1010, 5987, 2008, 2011, 1996, 2203, 1997, 2256, 2154, 1997, 2645, 1045, 1010, 25653, 1010, 2097, 2022, 1996, 2047, 2332, 1997, 10000, 19440, 1012, 25653, 1996, 10276 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4566, 14265, 7750, 1024, 2339, 2017, 2323, 2196, 8487, 2243, 1037, 2775, 6864, 6119, 9465, 1010, 6316, 2135, 1012, 4012, 6866, 1024, 9432, 1010, 2089, 1015, 1010, 2297, 1010, 1019, 1024, 4002, 2572, 2025, 2146, 3283, 1010, 4277, 5123, 1996, 1523, 2916, 1997, 2273, 1524, 2000, 2224, 3558, 2486, 2000, 6149, 2030, 16385, 2037, 10403, 1012, 1037, 3129, 1521, 1055, 3754, 2000, 20865, 2010, 3691, 2083, 14265, 7750, 2001, 3970, 2004, 1037, 2591, 13373, 1012, 2349, 2000, 1996, 4056, 4073, 1997, 10134, 2551, 2000, 5335, 1996, 3570, 1997, 2308, 1010, 3423, 13574, 2015, 27206, 4667, 2151, 2433, 1997, 1523, 15775, 29472, 13665, 1524, 2024, 2085, 27550, 1999, 2087, 3032, 2105, 1996, 2088, 1012, 2023, 2003, 1037, 2204, 2518, 1012, 2096, 2273, 1521, 1055, 4808, 2114, 2308, 4247, 2000, 2022, 1037, 3809, 2270, 2740, 5142, 1010, 2009, 2003, 2053, 2936, 2074, 10128, 19210, 1999, 5434, 1997, 2375, 1012, 2009, 2003, 2051, 2000, 7949, 2023, 3937, 13372, 2000, 1996, 2088, 1521, 1055, 2336, 1012, 2023, 2180, 1521, 1056, 2022, 3733, 1012, 1037, 3278, 5670, 1999, 2270, 5448, 2003, 4072, 2065, 2637, 2003, 2000, 3693, 1996, 2861, 3032, 2008, 2747, 7221, 2035, 3596, 1997, 14265, 7750, 2114, 2037, 2087, 8211, 4480, 1012, 1999, 1996, 2627, 1010, 2009, 2001, 2641, 2019, 2552, 1997, 2231, 11099, 2030, 4372, 26775, 10441, 22729, 2000, 5787, 1037, 3129, 1521, 1055, 2224, 1997, 2486, 2114, 2010, 2564, 2306, 1996, 9394, 1997, 2037, 2188, 1012, 2116, 4841, 11092, 2023, 2168, 7729, 2043, 2009, 3310, 2000, 14265, 7750, 2114, 2336, 1012, 1037, 6687, 1521, 1055, 1523, 2157, 2000, 9009, 1010, 1524, 4919, 2007, 1996, 2224, 1997, 3558, 2486, 1010, 2003, 1037, 6171, 2218, 6772, 1999, 2256, 2554, 1012, 2429, 2000, 2019, 5925, 2739, 8554, 4146, 2197, 2991, 1010, 2753, 3867, 1997, 2137, 3008, 6449, 2000, 2478, 14265, 7750, 2012, 2070, 2391, 1012, 2060, 12265, 5769, 2008, 2193, 2003, 3553, 2000, 3770, 3867, 1012, 1996, 11581, 22318, 3024, 2008, 16114, 2023, 5248, 2024, 2241, 2006, 1996, 2168, 27246, 4275, 1997, 3241, 2008, 8047, 14265, 7750, 2114, 2308, 2005, 4693, 1012, 2005, 2742, 1010, 1999, 2035, 2137, 2163, 2007, 1996, 6453, 1997, 8452, 1010, 4277, 10782, 2090, 3423, 2030, 1523, 9608, 1524, 3596, 1997, 14265, 7750, 1998, 6206, 3596, 8357, 20676, 1012, 2129, 2116, 2335, 1999, 1037, 5216, 2064, 2019, 4639, 2718, 1037, 2775, 2077, 2009, 2003, 12599, 6905, 1029, 2054, 2065, 1037, 8487, 6834, 3727, 5710, 18438, 1029, 2064, 1037, 2775, 10142, 2022, 2718, 2007, 2019, 4874, 1029, 2515, 1037, 2775, 2031, 1996, 2157, 2025, 2000, 2022, 11159, 1999, 1996, 2227, 1029, 2107, 3972, 20755, 28893, 2024, 14563, 1997, 3708, 2301, 3423, 6078, 2008, 4912, 2000, 5787, 1010, 2021, 2025, 3294, 19104, 1010, 10305, 4256, 4808, 1012, 2005, 2742, 1010, 1999, 11617, 1996, 4259, 2457, 1999, 5900, 4912, 2000, 21573, 1037, 3129, 1521, 1055, 2224, 1997, 2486, 4352, 2069, 2005, 1523, 8777, 15775, 29472, 13665, 1999, 3572, 1997, 5057, 1012, 1524, 2028, 16278, 2054, 2824, 4591, 2004, 1523, 26360, 1524, 1998, 2129, 2116, 14308, 2015, 2408, 1996, 2227, 2020, 2641, 1523, 8777, 1012, 1524, 2651, 1010, 2035, 3596, 1997, 2486, 2109, 2000, 2491, 2030, 16385, 2308, 2024, 10890, 1012, 2429, 2000, 1996, 3795, 6349, 2000, 2203, 2035, 14265, 7750, 1997, 2336, 1010, 1523, 2009, 2003, 20506, 7476, 1998, 2019, 21358, 12792, 2000, 8438, 2008, 1996, 10479, 1998, 2087, 8211, 1997, 2111, 2323, 2031, 2625, 3860, 2013, 6101, 2084, 6001, 1012, 1524, 7297, 1010, 5109, 1997, 8152, 1011, 8182, 4045, 2470, 7487, 1996, 4997, 3896, 1997, 14265, 7750, 2024, 3278, 1012, 3251, 2030, 2025, 2057, 7475, 2008, 1996, 2224, 1997, 2486, 1999, 1996, 2171, 1997, 9009, 23640, 2015, 1037, 2775, 1521, 1055, 16112, 2157, 2000, 3558, 11109, 1010, 1996, 2460, 1998, 2146, 1011, 2744, 3896, 1997, 14265, 7750, 2894, 10943, 2049, 15766, 1012, 1996, 2916, 1997, 2336, 2070, 2916, 2024, 1999, 25500, 20470, 2571, 1012, 2023, 2965, 2027, 2064, 1521, 1056, 2022, 2579, 2185, 2053, 3043, 2129, 2019, 3265, 16582, 2015, 1012, 1996, 4895, 8170, 1997, 2529, 2916, 1010, 3605, 2206, 1996, 22812, 1997, 2088, 2162, 2048, 1010, 3774, 1997, 4228, 4790, 2041, 16992, 2916, 2008, 2024, 2000, 2022, 5240, 2004, 5415, 1012, 2426, 2122, 2024, 1024, 1996, 2157, 2000, 2166, 1010, 1996, 2157, 2000, 2022, 2489, 2013, 8864, 2030, 8639, 1010, 1998, 1996, 2157, 2000, 4071, 1997, 2245, 1998, 4676, 1012, 1996, 4895, 4680, 2006, 1996, 2916, 1997, 1996, 2775, 1010, 2747, 17673, 2011, 19984, 3032, 2007, 1996, 6453, 1997, 2148, 10411, 1010, 14717, 1010, 1998, 1996, 2142, 2163, 1010, 4919, 2163, 2008, 2336, 2031, 1996, 2157, 2000, 2022, 2489, 2013, 1523, 2035, 3596, 1997, 3558, 1998, 5177, 4808, 1010, 4544, 1010, 2030, 6905, 1012, 1524, 2005, 2023, 3114, 1010, 1996, 4895, 2837, 2006, 1996, 2916, 1997, 1996, 2775, 8851, 2573, 2000, 2203, 1996, 2224, 1997, 14265, 7750, 1998, 11859, 2009, 2004, 1523, 2151, 7750, 1999, 2029, 3558, 2486, 2003, 2109, 1998, 3832, 2000, 3426, 2070, 3014, 1997, 3255, 2030, 17964, 1010, 2174, 2422, 1012, 1524, 21494, 1996, 2916, 1997, 2336, 2003, 1037, 2529, 2916, 2929, 3005, 2051, 2038, 2272, 1012, 2009, 2481, 1521, 1056, 2022, 2062, 2734, 1012, 1523, 8401, 3949, 1997, 2336, 2003, 16311, 1999, 2035, 4279, 1010, 1524, 2163, 16192, 2448, 7054, 2934, 1997, 2591, 4200, 2012, 1996, 2118, 1997, 2167, 3792, 2082, 1997, 4200, 1012, 2429, 2000, 1037, 2526, 2817, 2405, 2011, 1523, 2775, 6905, 3319, 1010, 1524, 3770, 3867, 1997, 2137, 23655, 2336, 2024, 8487, 8126, 2011, 2028, 2030, 2119, 3008, 1012, 1997, 2336, 4793, 1022, 1011, 1023, 1010, 2028, 1011, 2431, 2024, 2718, 2007, 2019, 4874, 1012, 1999, 2233, 1997, 2023, 2095, 1010, 6950, 2012, 1996, 2118, 1997, 4174, 4146, 1037, 20134, 2817, 1997, 2062, 2084, 13756, 2692, 2047, 3008, 1012, 2027, 2179, 2008, 2382, 3867, 1997, 10834, 1010, 2336, 2104, 2028, 1010, 2020, 8487, 8126, 2011, 2028, 2030, 2119, 3008, 2012, 2560, 2320, 1999, 1996, 2197, 3204, 1012, 2429, 2000, 1996, 12655, 2040, 3753, 1996, 2817, 1010, 1523, 8487, 6834, 10834, 2003, 3391, 28616, 28582, 2094, 1012, 1524, 1999, 1523, 1996, 9009, 2338, 1024, 2673, 2017, 2342, 2000, 2113, 2000, 2031, 1037, 2488, 1011, 26979, 2775, 1516, 2013, 4182, 2000, 2287, 2702, 1010, 1524, 2520, 18493, 1049, 1012, 1040, 1012, 1998, 9246, 18493, 1054, 1012, 1050, 1012, 8339, 2588, 1996, 2653, 4141, 2109, 2000, 6235, 14265, 7750, 1012, 2027, 3602, 2008, 2043, 1037, 2775, 9326, 2178, 2775, 1010, 2057, 2655, 2009, 7294, 1012, 2043, 2019, 4639, 9326, 2178, 4639, 1010, 2057, 2036, 2655, 2009, 7294, 1012, 2664, 1010, 2043, 2009, 3310, 2000, 2019, 4639, 8478, 1037, 2775, 1010, 2061, 2411, 1996, 6412, 2003, 1523, 16573, 1524, 2000, 1523, 8487, 6834, 1012, 1524, 2339, 1029, 2429, 2000, 1996, 18493, 1010, 8487, 6834, 2003, 1037, 7327, 8458, 23238, 6491, 2005, 7294, 1012, 2057, 2224, 2023, 2744, 2000, 2202, 1996, 3341, 2041, 1997, 1996, 8056, 2008, 18653, 2013, 7294, 2216, 2057, 2024, 2170, 2000, 27617, 11244, 2007, 15398, 1012, 2025, 2035, 3008, 2342, 2000, 2224, 2023, 7327, 8458, 23238, 6491, 1012, 2096, 2027, 12346, 1037, 7162, 1010, 2045, 2031, 2467, 2042, 2336, 2040, 4982, 2039, 1999, 5014, 2489, 1997, 14265, 7750, 1012, 1037, 2432, 2149, 2739, 1998, 2088, 3189, 2569, 3277, 2006, 7348, 4136, 1996, 9487, 2466, 1997, 10115, 26927, 7507, 4103, 1010, 1037, 3803, 2450, 2040, 11041, 9877, 1997, 3644, 2336, 2076, 1996, 6394, 6139, 1997, 7935, 1012, 2129, 2106, 2016, 2424, 1996, 3997, 2000, 2552, 2061, 7782, 2135, 2012, 1996, 3891, 2014, 2219, 2166, 1029, 26927, 10649, 4232, 12332, 2014, 8424, 2000, 1996, 2742, 1997, 2014, 2269, 1012, 1000, 2000, 2026, 2269, 1010, 3425, 2001, 2673, 1012, 2025, 2375, 1998, 2344, 1010, 2021, 3425, 1012, 1524, 2016, 4247, 1010, 1523, 1045, 2001, 2196, 8487, 8126, 1010, 2196, 2718, 1012, 1045, 2288, 2035, 2026, 3980, 4660, 1012, 2043, 2017, 2024, 2716, 2039, 2008, 2126, 1010, 2007, 3143, 2293, 1010, 4847, 1010, 1998, 4824, 1010, 2008, 2003, 2129, 2017, 3046, 2000, 7438, 2111, 1012, 1000, 1999, 2262, 1010, 1996, 3010, 2966, 3485, 2523, 1006, 4642, 3900, 1007, 2405, 2019, 4106, 1997, 2058, 3770, 2913, 23138, 1996, 3896, 1997, 14265, 7750, 2006, 2336, 1012, 2025, 2028, 1010, 2025, 1037, 2309, 2028, 1010, 2179, 2151, 3893, 2146, 1011, 2744, 3466, 1998, 1996, 2862, 17555, 1996, 2460, 1998, 2146, 1011, 2744, 8465, 2052, 5142, 3087, 11241, 1999, 2270, 2740, 1012, 14265, 7750, 2003, 3495, 3141, 2000, 2019, 3623, 1999, 5177, 2740, 10840, 1012, 1999, 2037, 2251, 2262, 4861, 4709, 1010, 1523, 8487, 6834, 5799, 2000, 5177, 7355, 1010, 1524, 1996, 2137, 2914, 1997, 23614, 2015, 2163, 2008, 2009, 2003, 1523, 6118, 4941, 1524, 2000, 1996, 2224, 1997, 3558, 7750, 2000, 9009, 2336, 1012, 2130, 1999, 1996, 6438, 1997, 1523, 5729, 2775, 15451, 7913, 4017, 3672, 1524, 1011, 1011, 2107, 2004, 4424, 6905, 1010, 19046, 1010, 2030, 7524, 2000, 10305, 4256, 4808, 1011, 1011, 3558, 29115, 2107, 2004, 1523, 6183, 1010, 9775, 1010, 15866, 1010, 22021, 1010, 2030, 7294, 1524, 2599, 2000, 1037, 7778, 2135, 27885, 8043, 12423, 3623, 1999, 5177, 10840, 1012, 2336, 2040, 2024, 2718, 2004, 6927, 12910, 2031, 2896, 26264, 8599, 2084, 2037, 2512, 1011, 8487, 8126, 12746, 1012, 2429, 2000, 6264, 2358, 25965, 1010, 2934, 2012, 1996, 2118, 1997, 2047, 7035, 1010, 2336, 3652, 2039, 1999, 5014, 2073, 2027, 2020, 11159, 2030, 8487, 8126, 11398, 1037, 2274, 1011, 2391, 4530, 1999, 26264, 1012, 1996, 1523, 10473, 4957, 1524, 2090, 14265, 7750, 1998, 26264, 5158, 2043, 3008, 3613, 2000, 2718, 2037, 2336, 2046, 2037, 9458, 2086, 1012, 2664, 1010, 1523, 2130, 2235, 8310, 1997, 8487, 6834, 1524, 2191, 1037, 4489, 2358, 25965, 19428, 1012, 7297, 1010, 7294, 1037, 2775, 8509, 2014, 2030, 2032, 2012, 1037, 7778, 2135, 3618, 3891, 1997, 4975, 6245, 1010, 9415, 6905, 13449, 2015, 1010, 1998, 9376, 2791, 1012, 2009, 12011, 2336, 2008, 6970, 28823, 3471, 2064, 2022, 11476, 2135, 13332, 2007, 1996, 2224, 1997, 2486, 1012, 2336, 2040, 3325, 14265, 7750, 2024, 7778, 2135, 2062, 3497, 2000, 8526, 1999, 2925, 10305, 4256, 4808, 1998, 2566, 22327, 20598, 1996, 5402, 2011, 7294, 2037, 2219, 2336, 1012, 1996, 4642, 3900, 4106, 2179, 2069, 2028, 2460, 1011, 2744, 3893, 3466, 1997, 14265, 7750, 1024, 1523, 6234, 12646, 1012, 1524, 2174, 1010, 2107, 12646, 2003, 2460, 2973, 1012, 3522, 2470, 4146, 2011, 15034, 2577, 9988, 2012, 2670, 8938, 2118, 1999, 5759, 7657, 2008, 1999, 1996, 3484, 1997, 6642, 1010, 1996, 2125, 18537, 5248, 13746, 2015, 2306, 2702, 2781, 1997, 8487, 6834, 1012, 2197, 3204, 1010, 9988, 1998, 2010, 8628, 2207, 2037, 9556, 2013, 5633, 2081, 1999, 2249, 2008, 4110, 1523, 2613, 2051, 1524, 10266, 2090, 3008, 1998, 2336, 1012, 1999, 1523, 19413, 6961, 25711, 4691, 2006, 1996, 2155, 1024, 1037, 4405, 4812, 1997, 14265, 7750, 1999, 1996, 2188, 1010, 1524, 2405, 2011, 1996, 2137, 8317, 2523, 1010, 9988, 4107, 1037, 14888, 2298, 2046, 1996, 24884, 1997, 1996, 2779, 2137, 4398, 1012, 1999, 9619, 2075, 2000, 2022, 2680, 1010, 3008, 2020, 2409, 2027, 2020, 8019, 1999, 1037, 2817, 12843, 6687, 1011, 2775, 10266, 1012, 1996, 2224, 1997, 14265, 7750, 4919, 2001, 2025, 3855, 1012, 1996, 3484, 1997, 6818, 1999, 9988, 1521, 1055, 2817, 2020, 2317, 1010, 2496, 10756, 2040, 2018, 2949, 2062, 2267, 2495, 2084, 1996, 3484, 2313, 1012, 2023, 2003, 2590, 2138, 3025, 2913, 7487, 2008, 10756, 2007, 2896, 6165, 1997, 2495, 2062, 4141, 11160, 2588, 14265, 7750, 1012, 1996, 2336, 11398, 2176, 1011, 2086, 1997, 2287, 1012, 1999, 1996, 5633, 1010, 1996, 7294, 1997, 2336, 2003, 27550, 1012, 2035, 1997, 1996, 3008, 2354, 2027, 2020, 4147, 1037, 15545, 1998, 2664, 1010, 2027, 2134, 1521, 1056, 8292, 29577, 3209, 2043, 2009, 2234, 2000, 1996, 2224, 1997, 3558, 2486, 1999, 1996, 2188, 1012, 1000, 2061, 2116, 3008, 2903, 1999, 1996, 6028, 1998, 2024, 2025, 5600, 2055, 2037, 2224, 1997, 2009, 1010, 1000, 9988, 2163, 1012, 1000, 2027, 29411, 2903, 2009, 1005, 1055, 1037, 6179, 6028, 2000, 5333, 2092, 1011, 26979, 4268, 1012, 1000, 1996, 5633, 4415, 7487, 1996, 3008, 2718, 2336, 2041, 1997, 4963, 1998, 9135, 1010, 2025, 1999, 1037, 5475, 1998, 5067, 2110, 1997, 2568, 1012, 2738, 2084, 2478, 3558, 2486, 2069, 2004, 1037, 2197, 7001, 1010, 2030, 1999, 3433, 2000, 4911, 1037, 2350, 1999, 27843, 7542, 1010, 1996, 5633, 7487, 2008, 3008, 14308, 2030, 8487, 2243, 2037, 2235, 2336, 1011, 1011, 2028, 2004, 2402, 2004, 1021, 1011, 2706, 1011, 2214, 1011, 1011, 2306, 2382, 1011, 3823, 1997, 1037, 5432, 1998, 2005, 1523, 4469, 8551, 3981, 11272, 24684, 25173, 1524, 2107, 2004, 1523, 13475, 2037, 3093, 1012, 1524, 2738, 2084, 2206, 2536, 11594, 3253, 2011, 4013 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2337, 2539, 1010, 2432, 20108, 1024, 17023, 1005, 1055, 2709, 13284, 2980, 2265, 2011, 28486, 11113, 2890, 2226, 1011, 1011, 9555, 999, 4843, 2023, 2733, 1005, 1055, 2265, 2956, 1037, 2843, 2062, 1997, 2054, 2038, 2081, 20108, 2026, 8837, 4843, 4712, 1024, 5024, 3503, 2013, 2327, 2000, 3953, 1010, 2092, 1011, 2409, 3441, 1998, 2152, 3689, 1012, 2005, 2216, 1997, 2017, 4363, 2650, 1011, 3505, 2702, 4710, 2001, 1000, 5045, 1000, 2197, 2733, 2061, 8003, 14073, 3660, 6842, 4934, 2046, 2010, 3242, 1998, 2018, 2000, 4133, 2279, 2000, 2123, 2225, 2035, 2305, 1012, 7823, 15453, 2005, 6842, 1010, 2021, 2002, 2003, 1037, 2658, 1012, 3782, 7842, 8428, 1010, 12005, 2595, 23249, 1010, 6128, 9399, 1998, 2365, 3900, 2100, 4241, 4779, 5443, 1012, 4463, 2892, 1010, 11420, 11097, 1010, 5261, 23289, 1998, 8473, 2844, 1996, 2136, 2008, 3478, 2000, 2663, 1996, 2637, 1005, 1055, 2452, 2197, 2733, 2001, 2067, 1999, 2895, 2023, 2733, 2559, 2005, 4847, 1012, 1996, 2674, 2318, 2004, 2151, 4800, 1011, 2158, 1060, 1011, 2407, 2674, 2052, 1024, 3435, 2007, 7564, 1997, 2152, 7516, 1012, 5261, 23289, 1998, 8473, 2844, 2024, 2941, 2488, 2084, 1045, 3342, 2013, 1996, 2197, 2051, 1045, 2288, 2000, 2156, 2068, 1999, 2895, 1012, 4463, 2892, 2003, 1037, 10904, 23821, 2040, 2323, 2022, 1037, 20108, 3180, 1012, 2200, 9525, 2693, 2011, 2844, 1011, 1037, 15082, 1005, 1055, 3341, 4060, 2039, 2046, 1037, 3442, 6323, 16343, 1012, 2892, 2718, 9399, 2007, 1037, 2307, 2559, 4167, 8286, 3334, 2021, 2481, 1005, 1056, 2131, 1996, 2663, 1012, 2892, 2790, 2000, 2022, 2183, 2005, 2010, 10332, 4190, 4530, 2011, 2001, 3236, 1998, 2165, 1996, 18293, 17835, 24352, 2013, 1046, 2140, 1012, 4791, 1024, 7842, 8428, 1010, 23249, 1010, 9399, 1998, 4241, 4779, 2004, 1996, 2674, 3092, 1010, 5076, 24503, 1010, 1996, 2417, 3797, 3036, 1010, 8904, 7664, 2072, 1998, 4845, 10556, 4095, 5598, 2046, 1996, 3614, 1998, 7463, 9399, 2041, 1012, 24503, 6966, 9399, 2008, 1996, 2358, 11514, 9513, 2001, 2002, 1005, 1040, 2022, 5045, 2065, 2002, 2439, 1996, 2977, 2197, 2733, 1012, 2002, 2106, 1010, 2061, 2002, 1005, 1055, 2041, 1012, 29017, 2059, 3013, 1037, 19430, 3331, 2055, 2129, 2123, 2655, 2483, 1006, 2040, 2003, 4593, 2025, 2007, 20108, 4902, 1007, 1998, 2010, 5160, 2031, 2579, 2729, 1997, 2449, 1998, 2445, 24503, 2035, 1996, 2373, 1999, 1996, 2194, 1012, 2002, 2056, 2008, 2045, 2876, 1005, 1056, 2022, 1037, 2047, 2472, 1997, 3691, 1011, 2138, 2002, 1005, 1055, 1996, 4217, 2028, 1012, 24503, 2001, 2059, 2559, 2005, 2619, 2000, 3357, 2039, 2000, 2032, 1012, 2002, 8315, 3782, 5671, 2000, 2272, 2131, 2070, 1012, 6902, 1000, 1996, 3606, 1000, 16431, 2007, 1038, 2290, 2508, 5443, 1012, 2745, 8683, 2007, 10555, 8379, 2023, 2001, 2941, 1037, 3492, 2204, 2674, 1012, 2009, 2253, 2067, 1998, 5743, 2007, 16431, 5565, 2070, 2152, 3909, 15226, 1998, 8683, 2652, 1996, 16592, 2135, 12073, 2000, 1037, 17170, 1012, 4438, 12073, 3275, 2176, 1011, 3336, 2227, 23163, 3962, 2234, 2220, 1012, 3835, 9419, 4190, 2474, 4360, 2102, 2011, 16431, 1012, 8683, 5203, 2253, 2000, 1996, 3009, 14970, 2795, 1998, 2165, 2041, 1017, 2444, 1047, 6820, 2266, 12849, 9516, 2078, 1012, 2508, 2743, 2044, 5203, 1012, 16431, 2001, 11116, 2029, 3039, 10555, 2000, 2272, 2125, 1996, 2327, 1010, 2021, 2016, 2001, 3236, 1998, 2165, 1037, 2373, 5092, 14905, 1012, 2008, 2435, 8683, 1996, 3098, 2000, 2718, 1996, 3565, 29493, 2243, 1998, 2991, 2006, 16431, 1044, 2497, 2243, 2806, 2000, 4060, 2039, 1037, 2502, 2663, 2058, 1037, 2280, 2088, 3410, 1012, 3453, 1024, 2745, 8683, 2417, 3797, 3036, 5443, 1012, 1000, 10459, 2732, 1000, 24337, 10588, 1998, 3449, 6506, 3449, 6506, 2038, 2908, 2067, 2000, 2010, 10439, 12898, 4843, 20509, 1998, 2633, 2038, 1037, 11519, 2559, 7308, 1012, 24337, 2253, 2000, 1996, 25180, 3367, 8303, 2023, 2733, 2205, 2021, 2288, 9157, 2125, 1012, 2010, 2047, 2304, 1998, 2417, 2397, 2595, 2309, 2102, 2007, 2010, 2047, 8367, 8040, 2527, 28365, 2408, 2010, 2067, 2003, 2074, 12077, 1012, 10588, 2001, 2921, 1999, 1996, 3420, 1997, 1996, 2417, 11344, 2005, 2087, 1997, 1996, 2674, 2001, 3313, 12597, 2096, 7887, 2667, 2000, 6415, 1999, 1996, 7006, 1012, 1996, 16520, 2158, 2633, 2288, 1996, 2980, 6415, 2081, 2167, 12690, 2102, 1998, 5722, 2298, 5410, 1998, 2180, 1996, 2674, 2007, 1037, 2600, 3953, 1012, 4791, 1024, 10588, 1998, 6506, 2044, 1996, 2674, 10588, 1998, 3449, 6506, 2020, 4457, 2011, 1996, 3019, 2015, 1010, 2021, 2855, 2448, 2125, 1012, 20212, 1010, 1996, 2417, 11344, 2020, 13175, 2012, 4845, 10556, 4095, 2055, 2025, 5026, 2067, 2039, 1010, 4385, 1012, 24503, 2059, 14368, 5722, 2408, 1996, 2132, 2013, 2369, 1012, 2002, 2056, 2045, 2052, 2022, 2053, 24116, 3258, 1999, 2010, 3409, 1998, 2409, 2167, 12690, 2102, 2000, 2191, 1037, 3247, 1012, 2167, 12690, 2102, 2246, 1998, 2010, 4256, 1998, 2059, 2939, 2185, 2975, 2032, 2006, 1996, 2723, 2041, 3147, 1012, 26937, 4189, 13068, 2001, 2059, 3107, 1012, 8307, 2425, 2023, 10041, 2008, 2043, 2115, 2849, 2003, 1999, 1037, 27076, 1998, 2017, 1005, 2128, 4011, 2000, 2022, 4855, 2019, 4544, 1011, 2017, 5807, 1005, 1056, 2224, 2008, 2849, 2043, 2017, 3713, 2000, 2391, 2012, 2111, 1998, 2330, 1037, 2932, 1012, 22822, 2239, 1012, 4189, 13068, 17806, 2005, 2025, 5026, 2041, 7437, 2666, 21360, 14544, 1998, 14688, 2000, 2025, 2113, 2014, 2171, 1012, 3660, 6842, 2056, 2008, 21360, 14544, 2941, 10731, 5999, 2006, 2014, 3206, 1012, 2002, 2056, 2008, 2002, 2134, 1005, 1056, 2215, 7437, 2666, 2006, 1996, 2265, 2138, 1997, 2014, 7670, 1024, 13675, 5243, 10196, 1010, 2034, 1011, 2465, 4946, 9735, 1998, 1037, 3861, 1997, 6420, 1044, 1012, 4189, 13068, 2059, 2081, 2070, 5236, 13198, 2055, 6420, 1044, 1005, 1055, 4451, 1012, 2821, 2935, 1012, 9202, 19430, 1012, 2028, 1997, 1996, 5409, 2412, 1012, 19128, 6782, 7153, 1012, 4067, 2673, 1012, 19128, 3013, 1037, 19430, 2006, 4189, 13068, 1998, 2253, 2000, 5926, 2010, 4632, 2021, 2001, 3030, 2011, 1996, 2502, 2158, 22159, 1012, 2029, 2318, 2256, 2279, 2674, 1012, 22159, 5443, 1012, 19128, 6782, 2122, 2273, 2024, 2522, 1011, 13304, 1997, 1996, 15737, 1011, 20108, 6415, 2136, 4486, 1012, 5525, 2027, 2123, 1005, 1056, 2131, 2247, 1010, 2061, 9444, 2001, 2000, 2663, 2023, 2028, 2006, 2028, 2674, 2052, 2202, 2119, 4486, 1998, 4060, 2037, 2219, 4256, 2279, 2733, 1012, 2023, 2001, 1037, 27547, 2674, 1012, 19128, 3504, 2307, 2114, 2471, 10334, 1011, 1998, 1037, 2674, 2066, 2023, 27397, 2339, 2116, 2031, 2170, 22159, 1996, 2190, 2551, 2502, 2158, 2651, 1012, 12476, 2693, 2387, 22159, 3233, 2006, 1996, 2117, 8164, 1998, 4139, 19128, 2039, 2011, 2010, 3300, 1012, 19128, 2718, 1037, 4689, 2693, 1011, 3500, 6277, 2125, 1996, 14607, 11043, 2046, 1037, 7901, 20315, 2102, 1012, 2007, 22159, 3564, 2006, 1996, 2327, 8164, 1010, 19128, 5598, 1998, 6476, 2032, 1999, 1996, 2132, 1010, 2059, 5941, 2125, 1037, 15876, 18752, 9336, 16737, 1012, 19128, 2059, 2716, 1037, 2795, 2046, 1996, 3614, 1012, 6782, 2699, 2000, 2373, 5092, 14905, 22159, 2013, 1996, 2327, 8164, 2046, 1996, 2795, 1010, 2021, 24503, 2743, 2091, 1998, 4457, 1996, 2280, 3410, 1012, 3453, 1024, 19128, 2011, 25410, 2044, 1996, 2674, 22159, 3856, 6782, 2039, 1998, 4711, 2032, 2524, 3031, 1037, 2795, 2008, 2134, 1005, 1056, 3338, 999, 22159, 2059, 2234, 2125, 1996, 2327, 2007, 1037, 6181, 2008, 5225, 2524, 2046, 1996, 3341, 2138, 2009, 11182, 2058, 2007, 6782, 2006, 2009, 2096, 1996, 6071, 5520, 2083, 1996, 2250, 1012, 4689, 1012, 20212, 6609, 4202, 10263, 5206, 7370, 2121, 1998, 4079, 6323, 2153, 4851, 2029, 1997, 2068, 2772, 2007, 24503, 1005, 1055, 2136, 1012, 2027, 2119, 2360, 2027, 2134, 1005, 1056, 3696, 1012, 26536, 9692, 2080, 2395, 2954, 2302, 3160, 1010, 2023, 2003, 1996, 2674, 1996, 24582, 2361, 4689, 4306, 2359, 2000, 2156, 1012, 2320, 2153, 1010, 1996, 24582, 2361, 2024, 2025, 14039, 1011, 2021, 2027, 2079, 2438, 1999, 1037, 2674, 2000, 20432, 1012, 2027, 1005, 2222, 3046, 2151, 2152, 3962, 1998, 5466, 1996, 5976, 4966, 1998, 3335, 2571, 4530, 29493, 2243, 1012, 7664, 2072, 1998, 10556, 4095, 2165, 2491, 2220, 2021, 1996, 4306, 2716, 2037, 7348, 2067, 1012, 24582, 2361, 4198, 2007, 1996, 7530, 3192, 1005, 1055, 4562, 6979, 2290, 1013, 4253, 4179, 1012, 3313, 4167, 8286, 3334, 2011, 1996, 15912, 2015, 1012, 6355, 1046, 2059, 2234, 2125, 1996, 2327, 2007, 1037, 5294, 23377, 23505, 1012, 25741, 1016, 2079, 5051, 2059, 2253, 2005, 1996, 6041, 9389, 2021, 10556, 4095, 4565, 2041, 1997, 1996, 2126, 1012, 2585, 2402, 2743, 2041, 1998, 4375, 10556, 4095, 1037, 3242, 1012, 2035, 2008, 2106, 2001, 3499, 21146, 5620, 2000, 2718, 1037, 2544, 1997, 1996, 3158, 17130, 23207, 1998, 1037, 4248, 4897, 2039, 1012, 4791, 1024, 1996, 10433, 15912, 2015, 2044, 1996, 2674, 1010, 10556, 4095, 1998, 1043, 2290, 17536, 1996, 25416, 1012, 1996, 3828, 2001, 2081, 2011, 7370, 2121, 1998, 4079, 1012, 6323, 2059, 2165, 10556, 4095, 1005, 1055, 12528, 6277, 1998, 2359, 2000, 2156, 2040, 2772, 1012, 6323, 3651, 2002, 2018, 2042, 12056, 1998, 2001, 2059, 4457, 2011, 7370, 2121, 1010, 7664, 2072, 1010, 10556, 4095, 1998, 2402, 1012, 4642, 7196, 1004, 15090, 15736, 2080, 2007, 2269, 2508, 6395, 5443, 1012, 6609, 11962, 1998, 10000, 10000, 2001, 5102, 1999, 2010, 2214, 24665, 5575, 2063, 2806, 1011, 2025, 7419, 1996, 11382, 7096, 1998, 3108, 6773, 1012, 2023, 2674, 2001, 1037, 2561, 2668, 7198, 1012, 15736, 2080, 2165, 1037, 3809, 6012, 2013, 10000, 2096, 7196, 2074, 3908, 1996, 11962, 2121, 1012, 10000, 2776, 2441, 2039, 1998, 2165, 2041, 2119, 2273, 1012, 2002, 2165, 1037, 5399, 3424, 20464, 9581, 13306, 9231, 13976, 2006, 15736, 2080, 2206, 1996, 10000, 3466, 20315, 2102, 1012, 4791, 1024, 10000, 1998, 11962, 2044, 1996, 2674, 6395, 2018, 1037, 24646, 2078, 3282, 1998, 2699, 2000, 5213, 10000, 2040, 2018, 2042, 6573, 2041, 2011, 1996, 7215, 1012, 11962, 20268, 2370, 1998, 2165, 1996, 11937, 6290, 2915, 1012, 3010, 3660, 1040, 1005, 26297, 2081, 2010, 2880, 20108, 4903, 2615, 2834, 1006, 2130, 2295, 2002, 1005, 1055, 2042, 2551, 2007, 1996, 2194, 20212, 2005, 3243, 2070, 2051, 1007, 3331, 2055, 2197, 2733, 1005, 1055, 2637, 1005, 1055, 1060, 2452, 1012, 2002, 2056, 2008, 20108, 1005, 1055, 2137, 2136, 3478, 2000, 3786, 1996, 13360, 4686, 2197, 2733, 1010, 1998, 2006, 2233, 6049, 2010, 3010, 2136, 2097, 4154, 18414, 15338, 6784, 24613, 2527, 1998, 2194, 1012, 1996, 2952, 2005, 2136, 2710, 2097, 2022, 11389, 7530, 1012, 10000, 3013, 1037, 19430, 20212, 3331, 2055, 2129, 2002, 2234, 2408, 2010, 13109, 20147, 2140, 1998, 3744, 9132, 1998, 4622, 1996, 10000, 2002, 2109, 2000, 2022, 1012, 1996, 2028, 2008, 2134, 1005, 1056, 2729, 2055, 3087, 2842, 1998, 2165, 2729, 1997, 2449, 1012, 2002, 15583, 6395, 2005, 15906, 2032, 2073, 2002, 2234, 2013, 1012, 10000, 2059, 2623, 2008, 2279, 2733, 2002, 2097, 2227, 1996, 7215, 2007, 7842, 8569, 2004, 2010, 6415, 2136, 4256, 1012, 1996, 2674, 2318, 2007, 2070, 11519, 4677, 4843, 1012, 1996, 2034, 2502, 2617, 1997, 1996, 2674, 2001, 2043, 5671, 2218, 29017, 2039, 2005, 1037, 7471, 1006, 11320, 2094, 5737, 2290, 28709, 2050, 2806, 1007, 2008, 2790, 2000, 2197, 5091, 1012, 5671, 4711, 24503, 2058, 1996, 2327, 1998, 1996, 24782, 9554, 7549, 1996, 3953, 1997, 2010, 5413, 2006, 1996, 13523, 1012, 15068, 2818, 1012, 5671, 2628, 2011, 2183, 2058, 1996, 2327, 2007, 1037, 2933, 7507, 1012, 2027, 19787, 2006, 1996, 2648, 2007, 5671, 21949, 2087, 1997, 1996, 2895, 1012, 24503, 2001, 6908, 2046, 1996, 3457, 4334, 1010, 1996, 2695, 1010, 1996, 5108, 1998, 1996, 3743, 4624, 1012, 29017, 2059, 16379, 1996, 2280, 6415, 24782, 2007, 5567, 3242, 7171, 1012, 3275, 2176, 1999, 1996, 2690, 1997, 1996, 3614, 1012, 5671, 2003, 1999, 4390, 1998, 2064, 1005, 1056, 6415, 2041, 1012, 5671, 4565, 1996, 2693, 2058, 1006, 8529, 4364, 1010, 2057, 2018, 2023, 6635, 5537, 3041, 1007, 1998, 3266, 2000, 4019, 1012, 5671, 2718, 1037, 2261, 2152, 4254, 5829, 1999, 1037, 5216, 1998, 2165, 1037, 2186, 1997, 2048, 9294, 1012, 5671, 9554, 2165, 1996, 25416, 2041, 2043, 24503, 13781, 2041, 1997, 1996, 2126, 1997, 1037, 2892, 2303, 1012, 24503, 2718, 1996, 6909, 1012, 10556, 4095, 2743, 2091, 2000, 5256, 1996, 25416, 1012, 5671, 6476, 2041, 2006, 2048, 1012, 29017, 2699, 2000, 3582, 2021, 2001, 12341, 2098, 2005, 2178, 2048, 4175, 1012, 17010, 1037, 1059, 11961, 2140, 4204, 10278, 2011, 5671, 1012, 2178, 2048, 4175, 1012, 5671, 2718, 1996, 4937, 22436, 2594, 1998, 2790, 2000, 2031, 2093, 1011, 2021, 10556, 4095, 5598, 2006, 1996, 20376, 1998, 2409, 1996, 5330, 2008, 2065, 2002, 8897, 2093, 2002, 2052, 2022, 5045, 1012, 1996, 25416, 10619, 1998, 5671, 2165, 10556, 4095, 2041, 1012, 6041, 9389, 2013, 1996, 2327 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1523, 14910, 13876, 2100, 1011, 15653, 3723, 2938, 2006, 1037, 2813, 1010, 14910, 13876, 2100, 1011, 15653, 3723, 2018, 1037, 2307, 2991, 1012, 1523, 1996, 2336, 1521, 1055, 20622, 1998, 2049, 2616, 2813, 1998, 2991, 2234, 2000, 2568, 1999, 4434, 2007, 22377, 2015, 1997, 1996, 2991, 1997, 1996, 4068, 2813, 1011, 2941, 2049, 3098, 2039, 1012, 2003, 2107, 2019, 2035, 14499, 10424, 20984, 15534, 1029, 2672, 1012, 2005, 8817, 2008, 2724, 3174, 1011, 2274, 2086, 3283, 2001, 4417, 2011, 10218, 1010, 3305, 3085, 7327, 8458, 11069, 1012, 2021, 4895, 21456, 7741, 3608, 2100, 6806, 2080, 1999, 1996, 2446, 2865, 1010, 3134, 1998, 3134, 3805, 1997, 1996, 5315, 1010, 1998, 3488, 2005, 5385, 2692, 2317, 22764, 22163, 5507, 2039, 2011, 3438, 1010, 2199, 10274, 2247, 1996, 2702, 1011, 3542, 3091, 1997, 1996, 2280, 2813, 1010, 2000, 2022, 2207, 1999, 1996, 3944, 2007, 25251, 9368, 25829, 1010, 18414, 14454, 4630, 2277, 10118, 2030, 2242, 2714, 2096, 10413, 21442, 11705, 1010, 3393, 2818, 10380, 3736, 1010, 11318, 2175, 28483, 9905, 2615, 1010, 4068, 1521, 1055, 15971, 3664, 1998, 2060, 12330, 3459, 2037, 2159, 8794, 2135, 6014, 7652, 1010, 2089, 3383, 16114, 2026, 5399, 2367, 3921, 1012, 2044, 1996, 2813, 2439, 2049, 8803, 3570, 2006, 2281, 6280, 2960, 1010, 2054, 2574, 3062, 1999, 1996, 2706, 2008, 2628, 6684, 9530, 26949, 2039, 1996, 6057, 1011, 2559, 8288, 2070, 9131, 2013, 5650, 1521, 1055, 2559, 1011, 3221, 7357, 1012, 2009, 2001, 2738, 1996, 5659, 1011, 2095, 1011, 2214, 5145, 4214, 2993, 1996, 2446, 3537, 3072, 1010, 1996, 1043, 13626, 1012, 2000, 12666, 1996, 1051, 6767, 3593, 2035, 14499, 2153, 1010, 2028, 2453, 1999, 15549, 2890, 1024, 2106, 2009, 2991, 2138, 2009, 2001, 6135, 12487, 1029, 2001, 2009, 2445, 2019, 2648, 5245, 2030, 2048, 1029, 1998, 2106, 2008, 22252, 5050, 3432, 1996, 14013, 4329, 1997, 1037, 5154, 29479, 2005, 4071, 1011, 2030, 2003, 1996, 3043, 2062, 8552, 1029, 2023, 2003, 2145, 2200, 7882, 1010, 2005, 2116, 2714, 10138, 2015, 2031, 2144, 4158, 1011, 1998, 2024, 2145, 10066, 1012, 2339, 2106, 1996, 1043, 13626, 2175, 2104, 1029, 2750, 2128, 13596, 1997, 2919, 11845, 2144, 2049, 2707, 2044, 3386, 1010, 2009, 2001, 2141, 4321, 1997, 1996, 8069, 1998, 5544, 1997, 1037, 4659, 2235, 2193, 1997, 8643, 1997, 8042, 23779, 1010, 2070, 1999, 8340, 2006, 2116, 17846, 1010, 2500, 1999, 6394, 7958, 1998, 15996, 1012, 2122, 2273, 1998, 2308, 2020, 4340, 2000, 3443, 1037, 2047, 2762, 1011, 2030, 2112, 1997, 2762, 2012, 2560, 1011, 21936, 23779, 1998, 1996, 3928, 2749, 2369, 2009, 1024, 26367, 1998, 19021, 2546, 1006, 1997, 1045, 1012, 1043, 1012, 2521, 10609, 1007, 1010, 2029, 2328, 1998, 3271, 2448, 24363, 1010, 22108, 1010, 1047, 21531, 2361, 1998, 17312, 1010, 2029, 28616, 13901, 5606, 1997, 5190, 1997, 26042, 6693, 3409, 5895, 1998, 3140, 23428, 2013, 2035, 2885, 1011, 1998, 1996, 11605, 2924, 2029, 3271, 5446, 2296, 6703, 3357, 1997, 1996, 2126, 1012, 2750, 2037, 4154, 1010, 2005, 1037, 2117, 2051, 1010, 2122, 2749, 2196, 2435, 2039, 3488, 2005, 28667, 6279, 16754, 1998, 9100, 4935, 1998, 2020, 2525, 2128, 1011, 7411, 3209, 1012, 2021, 2025, 1999, 2789, 2762, 1010, 2073, 2107, 3488, 2020, 28409, 1998, 2037, 11123, 1998, 3200, 2120, 3550, 1012, 2009, 2001, 2023, 8995, 2135, 10232, 2693, 2011, 1996, 1043, 13626, 2029, 2001, 2196, 24280, 1010, 2025, 2000, 2023, 2154, 1012, 2216, 2034, 10134, 1010, 5307, 8817, 1997, 22874, 1010, 27093, 1010, 7861, 16313, 14050, 1010, 17859, 2135, 26881, 2030, 2145, 6394, 1011, 10372, 2111, 1010, 4778, 1996, 2190, 14146, 3424, 1011, 14870, 4898, 1010, 3324, 1010, 12655, 1010, 4258, 1998, 2143, 8519, 2000, 2393, 11477, 2122, 27824, 1998, 18024, 2015, 1010, 2012, 2560, 1999, 2789, 2762, 1012, 2426, 2216, 14120, 2020, 14324, 27914, 7987, 15937, 2102, 1010, 7658, 3619, 1041, 2483, 3917, 1010, 4698, 7367, 5603, 2545, 1010, 10728, 15840, 1010, 7779, 1062, 27204, 1010, 10952, 10856, 1006, 2040, 2351, 2074, 2077, 2010, 5508, 1007, 1012, 2500, 1010, 2066, 7003, 2991, 8447, 1010, 2018, 2815, 1999, 2762, 2021, 4941, 23779, 1012, 2122, 2111, 1010, 1998, 2216, 2040, 4342, 2013, 2068, 1010, 2580, 6555, 4258, 1010, 2189, 1010, 2143, 1998, 3906, 2000, 2674, 2151, 1999, 1996, 2088, 1012, 2182, 1010, 2205, 1010, 3929, 10043, 2000, 8973, 1999, 2008, 2060, 2762, 2408, 1996, 3449, 4783, 1010, 13157, 2020, 22607, 2013, 2082, 29020, 1010, 8835, 9873, 1010, 2610, 3703, 1998, 3648, 1521, 1055, 19571, 1012, 1998, 2295, 2009, 2318, 2007, 1037, 2310, 17728, 3468, 8632, 1997, 8435, 1010, 1037, 18480, 3068, 2029, 3825, 5345, 3867, 1997, 2446, 2162, 16360, 25879, 8496, 1998, 2001, 6233, 5860, 20026, 15833, 1999, 2088, 6089, 1010, 1996, 1043, 13626, 2000, 18450, 2000, 3857, 1037, 9487, 2047, 4610, 1011, 2028, 2302, 11372, 1012, 2007, 2019, 2471, 2561, 3768, 1997, 3019, 4219, 1037, 2047, 3707, 1998, 3886, 3068, 2001, 2580, 1010, 11123, 2005, 3719, 1010, 3888, 13585, 1010, 27083, 1998, 3698, 5906, 1010, 2043, 2825, 2036, 1999, 2752, 2066, 22007, 1010, 2005, 4693, 10968, 1010, 16708, 2067, 5880, 2015, 1012, 1998, 2023, 2007, 2053, 5832, 2933, 1998, 1996, 3279, 1997, 6394, 1011, 26392, 6145, 1998, 10489, 2040, 2187, 1999, 5225, 2015, 1012, 6360, 1010, 2926, 2044, 1037, 13236, 3238, 1010, 2092, 1011, 4114, 15165, 4167, 12475, 2018, 2042, 21052, 3030, 2011, 2008, 4068, 2813, 1010, 2062, 2071, 2036, 2022, 11241, 1999, 7325, 5350, 1012, 2011, 2088, 18539, 1037, 2152, 2542, 3115, 2001, 4719, 1010, 2004, 3053, 2296, 2188, 2018, 1037, 16716, 1010, 3609, 2694, 1010, 1037, 12699, 3698, 1012, 2055, 2431, 1996, 2945, 3079, 2012, 2560, 1037, 2235, 2482, 1010, 2021, 10036, 2270, 5193, 2001, 13233, 1012, 1999, 5659, 2086, 1010, 2750, 1996, 5409, 1997, 10238, 1010, 1996, 2210, 1043, 13626, 2001, 2583, 2000, 9611, 2116, 3471, 2085, 19817, 7140, 9709, 2061, 2116, 3741, 1012, 2005, 2028, 2235, 4171, 2035, 2966, 2729, 2001, 3294, 3139, 1010, 2061, 2001, 2155, 4041, 2164, 11324, 2015, 1010, 2775, 2729, 1010, 2621, 7958, 1010, 3451, 1998, 2998, 3450, 2005, 2402, 1998, 2214, 1012, 2035, 2495, 2001, 2489, 1010, 15691, 3139, 3937, 2542, 5366, 2061, 2053, 10940, 2020, 2734, 1010, 1998, 2695, 1011, 7665, 5841, 2020, 12361, 1012, 2308, 2020, 9124, 2000, 2147, 1011, 2012, 5020, 3477, 6165, 1025, 2092, 2058, 3938, 3867, 2106, 1012, 2190, 1997, 2035, 1010, 2045, 2001, 2053, 3105, 24913, 1010, 23408, 28097, 2015, 2020, 9975, 10386, 1010, 2053, 1011, 2028, 2734, 2000, 3571, 1996, 2279, 2154, 1011, 2030, 2095, 1012, 7167, 2145, 2734, 24718, 1010, 14154, 11563, 2015, 2020, 2081, 1010, 6976, 22623, 1997, 2028, 2030, 1996, 2060, 19502, 2419, 2000, 14518, 13198, 1011, 1998, 7167, 1997, 4963, 1012, 1998, 2664, 1010, 5635, 2018, 2042, 2471, 3294, 3690, 26022, 1012, 2073, 2842, 1999, 1996, 2088, 2001, 2023, 8885, 1029, 2021, 1996, 1043, 13626, 2018, 2000, 5566, 2007, 2028, 1997, 1996, 2088, 1521, 1055, 2087, 18241, 18730, 1010, 2225, 2762, 1012, 2009, 2001, 2196, 2583, 2000, 2674, 1996, 9170, 8144, 6393, 1997, 6637, 11578, 3005, 11139, 1998, 12482, 2089, 2031, 3465, 2116, 4000, 1999, 2439, 5841, 1998, 9868, 3488, 2021, 3214, 1037, 5377, 5460, 1997, 9610, 2278, 1010, 2715, 3688, 1011, 2682, 2035, 2204, 3765, 1012, 2066, 2111, 6974, 1010, 1043, 13626, 4480, 16082, 2012, 4372, 4588, 2075, 6475, 1012, 2021, 2008, 2001, 2225, 2446, 2694, 1011, 1043, 13626, 1011, 2694, 2018, 2053, 12698, 1012, 21103, 2001, 6923, 1012, 2009, 2001, 27622, 2011, 2411, 2214, 1011, 13405, 16958, 1997, 1996, 2273, 6996, 1996, 20996, 14122, 1011, 1998, 3627, 2009, 2027, 2106, 1010, 2471, 2000, 1996, 2203, 1012, 1045, 2228, 2087, 1997, 2216, 12520, 3424, 1011, 14870, 2015, 6025, 2037, 2434, 8069, 1010, 2037, 15084, 2241, 2006, 14649, 1012, 2021, 2004, 2027, 3473, 3080, 1010, 17730, 2000, 2430, 3627, 1998, 7887, 4257, 14050, 2011, 1996, 2476, 2923, 2748, 1011, 2273, 2040, 2467, 8587, 2073, 2373, 1998, 2566, 5705, 2024, 2179, 1010, 2027, 6233, 2439, 3543, 2007, 2172, 1997, 1996, 2313, 1012, 2116, 22467, 2020, 5262, 20099, 17440, 1010, 5409, 1997, 2035, 2005, 1996, 2865, 2029, 2020, 1010, 2043, 2576, 1010, 10634, 1010, 11841, 1010, 2028, 1011, 11536, 1998, 2969, 1011, 21360, 2850, 7062, 1012, 2004, 2005, 2489, 4613, 1010, 2044, 1996, 3041, 2086, 1996, 10069, 1998, 2019, 16898, 7368, 2956, 1999, 2116, 2358, 21369, 3152, 2018, 4321, 5419, 1010, 2012, 2560, 2006, 1037, 2797, 1010, 2296, 1011, 2154, 3978, 1012, 2111, 2788, 2056, 2054, 2027, 2245, 1011, 3272, 1999, 2270, 6295, 1006, 2030, 4280, 1007, 1010, 2073, 2027, 2411, 8615, 3974, 9592, 2012, 1037, 6781, 1010, 1037, 4712, 2030, 1037, 4440, 2000, 9064, 2408, 1996, 2813, 2065, 2027, 2020, 2464, 2004, 2205, 1523, 4013, 1011, 2530, 1524, 1012, 1996, 1043, 13626, 2018, 6919, 4258, 1010, 3850, 1010, 7250, 1025, 2005, 2060, 16958, 2045, 2020, 2204, 3786, 2967, 1012, 2087, 1997, 1996, 2488, 5365, 1998, 2060, 2530, 3152, 2020, 3491, 1012, 2664, 2166, 2005, 2116, 2790, 2852, 7875, 1010, 3013, 1011, 1998, 1011, 9550, 1010, 12222, 1012, 2111, 2371, 5299, 1011, 1999, 1010, 2130, 2044, 1996, 2193, 1997, 2216, 2583, 2000, 3942, 2225, 2762, 2921, 4803, 1010, 4285, 1037, 2261, 2454, 2011, 2997, 1012, 15995, 2018, 2146, 2042, 2583, 2000, 3604, 15165, 2005, 1037, 3204, 2169, 2095, 1012, 2348, 2023, 2291, 2196, 23758, 2098, 2000, 2087, 15084, 1997, 7072, 1010, 2009, 2001, 2196, 7619, 1012, 2045, 2001, 1037, 5377, 3433, 2000, 2111, 1521, 1055, 3791, 1010, 24868, 2000, 8996, 1998, 7670, 25102, 2098, 10745, 2013, 1996, 2502, 5568, 1011, 6147, 5779, 1997, 2058, 2048, 2454, 1999, 1996, 6996, 2283, 1010, 2013, 5377, 4311, 2011, 1996, 2110, 3036, 14709, 2030, 2358, 21369, 1006, 2028, 1997, 2049, 2062, 3893, 4972, 1007, 1998, 1999, 2440, 5653, 26813, 2007, 3167, 10821, 1998, 11186, 1012, 6233, 2174, 1010, 2402, 2111, 2926, 2165, 2035, 12637, 1010, 2926, 3171, 3036, 1010, 3243, 2005, 4379, 1012, 2061, 2116, 3866, 6221, 9457, 1010, 12749, 8502, 9388, 20850, 14604, 11666, 2030, 8403, 5365, 12330, 1998, 13830, 1997, 5153, 1996, 3585, 4796, 2030, 2130, 9831, 2075, 2104, 1037, 3585, 7905, 1010, 2302, 4209, 2030, 2428, 11922, 2055, 1996, 3785, 1997, 2216, 3529, 1996, 2502, 2040, 18620, 2015, 1012, 28237, 3445, 1999, 1996, 3150, 1521, 1055, 2004, 1996, 4610, 9784, 1010, 2718, 2011, 1996, 7143, 2342, 2000, 3857, 1010, 2302, 2648, 2393, 1010, 2019, 8139, 3068, 1010, 2036, 2011, 1037, 5016, 3847, 2565, 1998, 3082, 5211, 1999, 4273, 2749, 2667, 2000, 2674, 2216, 1999, 1996, 2225, 1012, 1998, 11117, 2040, 3473, 2039, 10317, 1999, 1996, 2086, 1997, 13125, 2196, 4342, 2129, 2000, 4675, 18908, 2107, 21103, 2030, 28237, 1998, 8615, 1043, 8523, 15460, 2102, 1037, 2474, 2175, 28483, 9905, 2615, 1010, 21195, 2008, 8042, 2018, 2579, 2373, 2007, 2330, 3864, 1998, 9073, 1010, 2025, 19721, 1010, 2008, 1996, 2225, 2001, 4248, 2000, 2224, 2151, 16556, 2000, 5245, 2005, 1523, 6939, 2689, 1524, 1012, 2011, 2960, 1010, 2043, 2023, 2018, 4594, 1999, 5872, 1998, 3735, 1010, 2574, 4321, 1523, 2530, 3550, 1524, 1010, 1996, 28237, 17020, 2058, 1010, 1998, 2111, 2318, 2000, 10580, 1010, 1999, 4068, 1010, 11222, 1010, 12983, 1998, 6974, 1012, 2012, 2034, 1010, 2043, 1996, 2813, 2441, 2039, 1010, 2111, 6303, 2019, 5301, 1043, 13626, 1010, 2007, 2047, 22467, 1012, 2021, 2043, 12849, 7317, 1010, 19407, 1998, 2116, 2500, 2333, 1999, 1010, 12015, 2092, 1011, 21972, 3688, 1010, 2092, 1011, 7655, 2094, 10659, 1998, 2682, 2035, 2092, 1011, 6267, 1010, 4372, 4588, 2075, 2225, 2446, 1040, 1011, 6017, 1010, 1996, 1043, 13626, 2253, 2091, 1996, 12475, 1012, 2054, 2535, 1999, 1996, 6183, 2001, 2209, 2011, 11447, 19097, 1010, 2741, 2004, 6059, 2000, 2225, 2762, 2011, 2577, 1044, 1012, 1059, 1012, 5747, 1999, 2258, 2960, 2007, 1996, 3105, 1997, 1523, 2183, 2878, 27589, 2058, 2045, 1524, 1029, 1996, 2851, 2044, 1996, 2813, 2441, 2039, 2002, 4114, 1037, 3462, 2005, 7306, 12849, 7317, 2000, 4068, 2000, 22459, 1996, 2181, 2013, 1037, 7739, 1010, 2059, 18855, 2000, 1523, 2131, 2046, 1996, 2552, 1524, 1012, 2101, 1010, 4092, 18067, 1997, 1996, 2991, 1997, 1996, 1043, 13626, 1010, 2002, 2056, 1523, 2057, 2288, 2182, 2138, 2057, 2020, 2844, 1012, 2057, 2288, 2182, 2138, 2057, 2020, 4340, 1010, 1998, 2057, 2288, 2182, 2138, 2057, 8047, 1996, 2489, 3601, 1997, 2111, 2000, 5454, 2037, 2219, 10461, 1012, 1524, 19097, 1010, 1037, 3145, 2447, 2007, 11531, 1998, 4831, 2198, 2703, 1999, 10910, 6939, 2689, 1999, 3735, 1010, 2018, 1523, 2042, 2920, 3495, 2030, 17351, 1999, 1996, 16857, 1997, 2062, 6867, 2084, 2151, 2060, 2880, 1997, 1996, 2149, 2231, 1524, 1010, 2426, 2500, 4238, 1999, 4052, 1010, 4380, 1999, 3546, 1010, 7029, 1999, 3381, 1010, 2130, 11464, 1999, 3055, 1012, 2004, 2005, 2111, 1521, 1055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2533, 1997, 2394, 1010, 2118, 1997, 3516, 1012, 10061, 1024, 2116, 11406, 5784, 2024, 2551, 2000, 10938, 2037, 12736, 1999, 3433, 2000, 2047, 3785, 1998, 3471, 8361, 1999, 1996, 3174, 1011, 2034, 2301, 1012, 15835, 1010, 2048, 1997, 1996, 2087, 2590, 2749, 12473, 3824, 3795, 3226, 2024, 1996, 3652, 7073, 1997, 1996, 12231, 5325, 1998, 1996, 20250, 1997, 3617, 2865, 1012, 2023, 9491, 28809, 2000, 4503, 8383, 19739, 19321, 8486, 1521, 1055, 1523, 14342, 1524, 4145, 1997, 17338, 28793, 10536, 2046, 1037, 9373, 7705, 2005, 15696, 13318, 24203, 23072, 2090, 1996, 12231, 1998, 1996, 3617, 1012, 1999, 2236, 1010, 1996, 9491, 2034, 2396, 24153, 2015, 17338, 28793, 16066, 2389, 4275, 1997, 3265, 1998, 7268, 3395, 7730, 1010, 1998, 2059, 9251, 2008, 1996, 2190, 2126, 2000, 15770, 17338, 28793, 16066, 2389, 4767, 3325, 2003, 2000, 1999, 15338, 1523, 2695, 1011, 2865, 1524, 6078, 1010, 2029, 17445, 1996, 2897, 2098, 6502, 1997, 3617, 2865, 2107, 2008, 3563, 21877, 2850, 3995, 26715, 20583, 2007, 1996, 2974, 6464, 20446, 5562, 1996, 5310, 1521, 1055, 3977, 2000, 7461, 1998, 2022, 5360, 2011, 10047, 2386, 4765, 2749, 1999, 1996, 2088, 1012, 1999, 2804, 1010, 2023, 19739, 19321, 12199, 2128, 15222, 8950, 2075, 1997, 1996, 12231, 2735, 15442, 7860, 1996, 9569, 3978, 1997, 1996, 21877, 2850, 3995, 6292, 1997, 3267, 12284, 2008, 2038, 17253, 1996, 17338, 1011, 11406, 5957, 2144, 1996, 3955, 1012, 1996, 9491, 1521, 1055, 15306, 9218, 2646, 1037, 9099, 14028, 2389, 17338, 1011, 11406, 1010, 2029, 2052, 2022, 1054, 4048, 6844, 12644, 3973, 15685, 1999, 19739, 19321, 8486, 1521, 1055, 12157, 2005, 8285, 6873, 3111, 2483, 1998, 3352, 1011, 2060, 1006, 3081, 2047, 2865, 1007, 1010, 2738, 2084, 1037, 10763, 14588, 2000, 1996, 15084, 1997, 1523, 2969, 1011, 2613, 6648, 1524, 2695, 8898, 2011, 1996, 2784, 13517, 2929, 1012, 2058, 1996, 2627, 5476, 1010, 1996, 11406, 12736, 2031, 2209, 3677, 2000, 2019, 7738, 1997, 12231, 2135, 11773, 21865, 1010, 2029, 3613, 2000, 2330, 2039, 2047, 1006, 4942, 1007, 4249, 1997, 2470, 1998, 4252, 1012, 1996, 2458, 1997, 1996, 12231, 2735, 1999, 2394, 2913, 1006, 10141, 13644, 2000, 2160, 1996, 2817, 1997, 3906, 1010, 5512, 1010, 2143, 1010, 1998, 2047, 2865, 1007, 24501, 21149, 2015, 2007, 1996, 2236, 6622, 1997, 1996, 17338, 1011, 11406, 1025, 5262, 1010, 2394, 7640, 2031, 2419, 2023, 2929, 1999, 2116, 17475, 1012, 1037, 5002, 1997, 2394, 1521, 1055, 3522, 22713, 1997, 12231, 4784, 1006, 1998, 2037, 7989, 2015, 1007, 21009, 1037, 2391, 1997, 6712, 2005, 2128, 15222, 8950, 2075, 1996, 17338, 1011, 11406, 1012, 17338, 26775, 18291, 2964, 1010, 2007, 2049, 16360, 23056, 9263, 1998, 2759, 9281, 1010, 2038, 2053, 4797, 2468, 1996, 2087, 12148, 5084, 1997, 2394, 1521, 1055, 17338, 1011, 4249, 1010, 2096, 2062, 4197, 8107, 3613, 2000, 8587, 11853, 2105, 3408, 2107, 2004, 2665, 3451, 2913, 1010, 17338, 7959, 25300, 6491, 1010, 17338, 9006, 26994, 1010, 1998, 17338, 16969, 2913, 1012, 2012, 1996, 2735, 1997, 2023, 2301, 1010, 2172, 1997, 1996, 2220, 2147, 1999, 17338, 26775, 18291, 2964, 2001, 7422, 2000, 1520, 10324, 1996, 2087, 2590, 2573, 1999, 1996, 2492, 1998, 3449, 7875, 6525, 3436, 1996, 4436, 2339, 2027, 3043, 2062, 2084, 2500, 1521, 1006, 11338, 18442, 2063, 1010, 2722, 1024, 2403, 1007, 1012, 3824, 4177, 1999, 17338, 26775, 18291, 2964, 3613, 2023, 1523, 2665, 1524, 9330, 1011, 2311, 2622, 1010, 15089, 4013, 3630, 17457, 8163, 2714, 2000, 19533, 5863, 1521, 1055, 2263, 8170, 1010, 1520, 2057, 2342, 1037, 3906, 2008, 11598, 2015, 4824, 1997, 4262, 2090, 2111, 1998, 3267, 1010, 1997, 2129, 2057, 5060, 2689, 7714, 1010, 1998, 2129, 2107, 3795, 3431, 7461, 3182, 2057, 2113, 29024, 1521, 1006, 5863, 1010, 2263, 1024, 25797, 1007, 1012, 1996, 3930, 1997, 17338, 26775, 18291, 2964, 1010, 2174, 1010, 2038, 6296, 2019, 4852, 2193, 1997, 4187, 4491, 1010, 1996, 2087, 3278, 1997, 2029, 2031, 2042, 11897, 2094, 2011, 4706, 28442, 2040, 1010, 2750, 2037, 17304, 1010, 3745, 1996, 17338, 26775, 26116, 4792, 2000, 6869, 2000, 7552, 12231, 25332, 1012, 1999, 3327, 1010, 2122, 28442, 4632, 12502, 17338, 26775, 18291, 2964, 2005, 2049, 21662, 2000, 8526, 2007, 3314, 2992, 2011, 3824, 3399, 1012, 10805, 11164, 3632, 2004, 2521, 2004, 3038, 2008, 17338, 26775, 18291, 2964, 1520, 24447, 5991, 2049, 5551, 2000, 2035, 7789, 8973, 1997, 1996, 2197, 4228, 2086, 1529, 17338, 26775, 18291, 2964, 10659, 2000, 2709, 2000, 2019, 2914, 1997, 1996, 2627, 1521, 1006, 11164, 1010, 2289, 1024, 2322, 1007, 1012, 1998, 2664, 1010, 3904, 1997, 1996, 2877, 2808, 3378, 2007, 17338, 26775, 18291, 2964, 1006, 2025, 2130, 1996, 3297, 1523, 17338, 26775, 25090, 10997, 1524, 2011, 11271, 10852, 2030, 10805, 11164, 1007, 4025, 4699, 2012, 2035, 1999, 1996, 2147, 1997, 21717, 3972, 13765, 4371, 1998, 8383, 19739, 19321, 8486, 1012, 2008, 1996, 17338, 1011, 11406, 3227, 6661, 2023, 6578, 1999, 3716, 3849, 2200, 13576, 1010, 2926, 2445, 1996, 13216, 12231, 3579, 1999, 19739, 19321, 8486, 1521, 1055, 2101, 7896, 1998, 2445, 3972, 13765, 4371, 1521, 1055, 4366, 1999, 1996, 2397, 3865, 2008, 2002, 1998, 19739, 19321, 8486, 2359, 2000, 4339, 1037, 1006, 2197, 1007, 2338, 2006, 2037, 4695, 1997, 3267, 1012, 2057, 2323, 4687, 2085, 1010, 2007, 2307, 2566, 10196, 5897, 1010, 2073, 3972, 13765, 4371, 1998, 19739, 19321, 8486, 1521, 1055, 4695, 2052, 2599, 1996, 12231, 2735, 1010, 2029, 1010, 2247, 2007, 1996, 3617, 2735, 1010, 10659, 2000, 2022, 1037, 4289, 3512, 3747, 2005, 11406, 12736, 1999, 1996, 3174, 1011, 2034, 2301, 1012, 1011, 1016, 1011, 2065, 2045, 2003, 1037, 4895, 11787, 3399, 2008, 8539, 2087, 12231, 8107, 2408, 1996, 11406, 12736, 1010, 5121, 2008, 3399, 2003, 12098, 2638, 6583, 7971, 1521, 1055, 6923, 9366, 1997, 2784, 13517, 2030, 1523, 17338, 28793, 10536, 1524, 1012, 2004, 5639, 8991, 2891, 3683, 1006, 2268, 1024, 6564, 1007, 2685, 2041, 1010, 19739, 19321, 8486, 1521, 1055, 3015, 2006, 17338, 28793, 10536, 2196, 5218, 2000, 6583, 7971, 1998, 2010, 2458, 1997, 1996, 2744, 1012, 2008, 2056, 1010, 3056, 8635, 2011, 19739, 19321, 8486, 2802, 1996, 2093, 17338, 21615, 1006, 1041, 1012, 1043, 1012, 1010, 1520, 13517, 2442, 2644, 2108, 3378, 2007, 1996, 3746, 1997, 1037, 2235, 3267, 1011, 8295, 7162, 1529, 1521, 1007, 2089, 15835, 3853, 2004, 14958, 7604, 2000, 1010, 2065, 2025, 16218, 2015, 1997, 1010, 6583, 7971, 1521, 1055, 2622, 1006, 19739, 19321, 8486, 1010, 2263, 1024, 3486, 1007, 1012, 2012, 1037, 8050, 2504, 1010, 1996, 3260, 1997, 6583, 7971, 1521, 1055, 17338, 28793, 10536, 2003, 2000, 7818, 1996, 10336, 1997, 5200, 2007, 2029, 2111, 6709, 1012, 2002, 7164, 2008, 1520, 8720, 12005, 26243, 2015, 6387, 26452, 1521, 1998, 2008, 4286, 3961, 24436, 2000, 2008, 2029, 2027, 2202, 2000, 2022, 12580, 2367, 2084, 3209, 1006, 6583, 7971, 1010, 2786, 1024, 2321, 1007, 1012, 2000, 2490, 2023, 2597, 1010, 6583, 7971, 6661, 1037, 3167, 2019, 8586, 23681, 2055, 1037, 26735, 2008, 3402, 5565, 1999, 1037, 7099, 1997, 5648, 12141, 1010, 2029, 6583, 7971, 2001, 5702, 2104, 1037, 24635, 1012, 2002, 4447, 1010, 1520, 2065, 1045, 2001, 7344, 4383, 2013, 1996, 26735, 1010, 2025, 3773, 29202, 2135, 2505, 2130, 15525, 2870, 1010, 1996, 1031, 26735, 1521, 1055, 1033, 2331, 5998, 2052, 2031, 2187, 2033, 24436, 1521, 1006, 6583, 7971, 1010, 2786, 1024, 2321, 1007, 1012, 2023, 2019, 8586, 23681, 1010, 1037, 8995, 14614, 1997, 6583, 7971, 1521, 1055, 2245, 1010, 7545, 2149, 2000, 1996, 2087, 2590, 4489, 2090, 2010, 17338, 28793, 10536, 1998, 1996, 17338, 28793, 10536, 1997, 8383, 19739, 19321, 8486, 1012, 6583, 7971, 4455, 2005, 2019, 4935, 1997, 1996, 2969, 3081, 8720, 1006, 1523, 2969, 1011, 2613, 6648, 1524, 1007, 1010, 6168, 19739, 19321, 8486, 1006, 1998, 3972, 13765, 4371, 1007, 27314, 5562, 8285, 6873, 2666, 4588, 6194, 2008, 4685, 1037, 12275, 1997, 1996, 2969, 3081, 4487, 2015, 19792, 7542, 1006, 1523, 3352, 1011, 2060, 1524, 1007, 1012, 1999, 2060, 2616, 1517, 1999, 1037, 19739, 19321, 12199, 2128, 21398, 1997, 1996, 26735, 2019, 8586, 23681, 1517, 1045, 2052, 2025, 2298, 2005, 3787, 1997, 1996, 26735, 2008, 10825, 2033, 1997, 2870, 1025, 2738, 1010, 1045, 2052, 4374, 1996, 26735, 1999, 2049, 11477, 3012, 1998, 8087, 5919, 1997, 1996, 26735, 2015, 2008, 2024, 3294, 2367, 2013, 2870, 1010, 2061, 2004, 2000, 1523, 2468, 1011, 26735, 1524, 1024, 2000, 8970, 1996, 26735, 1521, 1055, 5450, 1997, 4598, 2046, 1996, 2126, 1045, 2228, 1998, 2444, 1012, 3322, 1010, 1996, 4489, 2090, 6583, 7971, 1521, 1055, 8720, 1998, 19739, 19321, 8486, 1521, 1055, 8285, 6873, 3111, 2483, 2089, 4025, 20610, 1012, 2023, 3576, 4489, 1010, 2174, 1010, 2941, 19764, 2041, 2048, 17856, 11461, 1010, 2130, 19326, 1010, 10425, 2005, 16403, 6562, 1996, 2537, 1997, 3395, 7730, 1012, 1520, 19739, 19321, 8486, 1521, 1055, 5142, 1010, 1521, 7009, 8991, 2891, 3683, 1010, 1520, 2003, 2025, 2969, 1011, 12393, 2083, 17973, 1997, 1037, 3653, 1011, 2445, 2969, 1010, 2021, 6194, 1997, 13048, 3989, 2008, 9507, 1996, 11048, 1997, 4431, 9770, 2011, 2019, 4767, 1521, 1006, 8991, 2891, 3683, 1010, 2268, 1024, 6584, 1007, 1012, 8821, 1010, 2019, 17338, 1011, 11406, 4427, 2011, 19739, 19321, 8486, 1521, 1055, 3399, 1997, 13517, 2052, 2298, 2200, 2367, 2084, 1996, 5220, 6583, 7971, 2937, 2622, 1997, 3267, 12284, 1012, 1037, 2542, 6104, 2000, 6583, 7971, 1010, 17338, 26775, 18291, 2964, 4050, 1999, 6767, 9681, 13517, 2004, 1037, 9975, 4483, 2923, 15152, 1012, 2023, 2597, 12102, 2000, 3188, 13706, 2063, 1996, 23539, 2817, 1997, 4706, 15066, 1997, 3267, 1010, 2411, 9686, 6873, 18161, 1010, 2012, 1996, 2200, 2560, 1010, 1037, 4792, 2000, 3292, 2028, 1521, 1055, 2969, 2013, 10660, 12607, 2015, 1998, 2060, 3375, 6447, 1997, 2715, 3923, 2166, 1012, 1011, 1017, 1011, 2006, 1996, 2060, 2192, 1010, 19739, 19321, 8486, 1521, 1055, 17338, 28793, 16066, 2389, 7339, 10659, 2000, 2128, 18938, 21466, 1996, 12231, 2735, 1999, 1996, 11406, 2875, 7490, 21865, 1999, 1996, 2537, 1997, 3395, 7730, 1998, 8474, 2008, 4287, 2007, 2068, 1996, 4022, 2000, 15770, 1037, 2062, 9099, 14028, 13911, 2098, 13120, 1997, 4767, 1012, 4869, 3363, 7908, 7680, 7849, 13087, 1996, 21864, 17340, 5054, 20925, 7400, 1997, 9099, 14028, 23732, 2114, 1996, 4535, 1997, 20692, 6024, 4275, 1997, 1996, 2529, 25774, 1024, 1011, 1018, 1011, 1011, 1019, 1011, 5220, 2327, 20792, 2107, 2004, 1996, 4100, 20214, 9546, 1010, 1996, 9715, 1011, 3653, 8663, 11020, 6313, 1011, 9787, 1010, 1996, 13059, 1011, 8909, 1011, 3565, 20265, 1998, 1996, 1051, 2098, 11514, 2389, 9546, 2442, 2022, 4423, 1010, 3668, 1010, 1998, 2441, 2039, 1012, 7264, 2090, 2068, 2442, 2022, 2128, 6494, 11788, 1012, 2037, 6645, 1998, 7372, 2442, 2022, 1041, 20961, 11788, 1998, 23516, 1010, 2030, 2012, 2560, 2081, 2062, 18499, 3560, 1012, 2682, 2035, 1010, 2122, 4423, 1010, 2417, 2527, 7962, 1998, 28667, 18256, 10985, 2327, 8649, 24342, 3111, 2442, 2022, 2275, 1999, 4367, 1529, 1006, 7908, 1010, 2526, 1024, 2603, 1007, 9099, 14028, 23732, 1010, 2004, 2064, 2022, 7505, 28732, 2094, 7908, 1521, 1055, 12369, 3993, 2147, 2006, 19739, 19321, 8486, 1010, 5829, 2192, 1999, 15913, 2007, 1996, 4023, 1997, 18804, 5302, 9247, 2075, 1012, 4275, 2107, 2004, 1996, 1051, 2098, 11514, 2389, 9546, 16405, 14536, 11589, 1037, 6630, 2389, 1010, 3115, 5084, 4949, 1997, 1996, 25774, 2881, 2005, 1996, 6612, 9312, 1998, 11616, 1997, 3265, 5022, 1012, 18804, 5302, 9247, 2015, 1010, 2006, 1996, 2060, 2192, 1010, 11092, 1037, 2062, 18378, 1998, 9570, 21997, 11032, 2875, 11643, 1025, 2182, 1996, 7209, 6614, 2003, 13048, 3012, 2738, 2084, 3115, 6648, 1010, 1998, 2023, 4372, 22081, 10439, 26121, 2013, 1037, 20889, 1997, 4275, 1999, 2344, 2000, 4468, 2108, 1523, 5881, 1524, 2306, 1996, 23077, 1997, 1037, 7444, 2944, 1006, 7908, 1010, 2263, 1007, 1012, 2004, 19739, 19321, 8486, 7009, 1997, 8040, 4048, 6844, 25902, 1010, 9099, 14028, 2389, 3241, 1520, 2515, 2025, 5454, 2028, 2944, 6648, 2000, 1996, 15945, 1997, 2178, 1521, 1025, 2738, 1010, 9099, 14028, 23732, 2003, 2055, 4526, 3210, 1997, 3462, 2426, 2536, 4275, 1010, 1520, 2437, 2068, 1529, 12160, 2306, 6310, 4632, 6633, 28522, 8449, 1010, 2062, 2330, 1010, 2062, 2832, 8787, 1010, 2062, 28283, 28414, 14482, 5084, 1521, 1006, 19739, 19321, 8486, 1010, 2786, 1024, 6079, 1007, 1012, 2004, 2107, 1010, 9099, 14028, 23732, 2003, 1037, 25796, 12231, 4145, 1999, 2008, 2009, 13956, 2149, 2000, 7887, 1006, 2128, 1007, 2396, 24153, 2477, 2012, 1996, 28771, 2504, 1997, 2037, 10266, 1012, 2007, 19739, 19321, 8486, 1010, 2059, 1010, 2057, 2024, 2025, 4372, 8017, 4726, 1996, 2969, 9021, 2944, 1517, 2057, 2024, 4975, 1996, 18804, 5302, 9247, 2015, 1998, 6078, 1997, 12636, 3372, 3395, 12848, 6447, 1012, 4427, 2011, 19739, 19321, 8486, 2612, 1997, 6583, 7971, 1010, 2057, 2052, 2468, 2625, 4699 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1064, 4772, 2193, 1064, 1064, 2149, 24087, 17465, 2683, 16147, 1037, 1064, 1064, 4646, 2193, 1064, 1064, 2149, 5511, 1013, 29562, 1010, 24232, 1064, 1064, 4772, 3058, 1064, 1064, 2089, 2654, 1010, 2727, 1064, 1064, 15242, 3058, 1064, 1064, 13292, 1018, 1010, 2807, 1064, 1064, 9470, 3058, 1064, 1064, 13292, 1018, 1010, 2807, 1064, 1064, 4772, 2193, 1064, 1064, 5511, 22394, 23777, 2692, 2620, 1010, 29562, 14142, 2620, 1010, 2149, 4583, 17465, 2683, 16147, 1037, 1010, 2149, 4583, 17465, 2683, 16147, 2050, 1010, 2149, 1011, 1037, 1011, 4583, 17465, 2683, 16147, 1010, 2149, 24087, 17465, 2683, 16147, 1037, 1010, 2149, 24087, 17465, 2683, 16147, 2050, 1064, 1064, 12235, 2015, 1064, 1064, 2726, 1059, 1012, 5143, 1010, 2726, 1041, 1012, 6812, 2545, 1010, 2798, 1039, 1012, 9061, 2869, 1064, 1064, 2434, 23911, 4402, 1064, 1064, 2012, 1004, 1056, 13058, 1012, 1064, 1064, 9167, 11091, 1064, 1064, 12170, 19279, 10288, 1010, 2203, 22074, 1010, 25416, 2386, 1064, 1064, 7353, 22921, 1006, 1019, 1007, 1010, 14964, 2011, 1006, 2539, 1007, 1010, 26739, 1006, 2260, 1007, 1010, 3423, 2824, 1006, 1020, 1007, 1064, 1064, 6327, 6971, 1024, 2149, 13876, 2080, 1010, 2149, 13876, 2080, 8775, 1010, 9686, 15327, 7159, 1064, 2023, 11028, 14623, 2000, 1996, 2492, 1997, 25958, 6125, 1010, 1998, 1010, 2062, 4919, 1010, 2000, 1037, 4118, 1998, 14709, 2005, 4346, 9052, 17542, 2545, 1998, 2060, 2376, 22415, 9859, 2006, 1037, 6942, 2008, 1010, 1999, 1996, 3188, 2396, 1010, 2064, 2069, 2022, 3024, 1000, 1999, 1011, 2240, 1000, 2007, 3210, 2030, 20509, 1012, 2897, 7026, 2376, 22415, 2578, 2024, 3024, 1000, 1999, 1011, 2240, 1000, 2007, 6726, 4128, 1012, 2122, 2578, 2024, 5100, 1999, 6732, 2029, 2024, 1999, 2735, 4198, 2090, 11991, 3001, 1010, 2138, 2107, 2578, 3685, 4728, 2022, 2794, 2046, 1996, 4984, 1012, 2019, 14614, 1997, 2023, 2291, 2089, 2022, 2464, 1999, 1996, 2742, 1997, 20965, 1012, 1015, 1010, 16726, 1037, 2146, 3292, 2897, 2003, 3491, 1012, 7026, 7886, 2003, 4198, 2000, 1037, 2334, 6942, 9402, 1010, 2029, 2003, 1010, 1999, 2735, 1010, 4198, 2000, 2019, 14802, 2146, 3292, 6942, 9800, 2011, 3229, 8260, 9645, 1012, 14802, 6942, 9800, 2003, 4198, 2000, 1037, 23552, 6942, 8746, 1010, 3081, 8260, 10114, 1012, 1996, 23552, 6942, 2003, 4198, 2000, 1037, 2334, 3863, 6839, 6942, 3421, 2011, 10715, 1012, 1996, 2655, 2003, 2949, 2000, 7026, 11518, 1012, 2004, 2064, 2022, 2464, 1999, 2023, 3275, 1010, 2045, 2024, 2048, 9052, 17542, 2545, 1010, 7287, 1998, 11118, 1010, 4198, 2090, 14802, 6942, 9800, 1998, 23552, 6942, 8746, 1010, 2006, 8260, 10114, 1012, 9052, 17542, 2121, 7287, 17542, 2015, 17659, 1997, 7026, 7886, 1010, 1998, 9052, 17542, 2121, 11118, 17542, 2015, 17659, 2013, 7026, 11518, 1012, 2060, 2376, 22415, 4128, 1010, 2107, 2004, 2012, 1004, 1056, 1005, 1055, 2995, 2376, 1079, 2376, 22415, 2578, 2024, 2036, 7532, 3085, 2000, 8260, 10114, 1999, 2344, 2000, 2582, 11598, 1996, 2614, 1997, 1996, 2376, 4742, 1012, 2045, 2024, 1010, 2174, 1010, 2195, 4009, 12221, 2000, 1996, 9563, 1997, 20965, 1012, 1015, 1012, 2034, 1010, 15428, 1999, 2122, 1999, 1011, 2240, 22415, 13782, 5478, 2008, 1996, 8260, 2022, 2579, 2041, 1997, 2326, 1010, 2029, 2089, 3426, 4455, 2000, 2022, 2439, 1012, 2005, 2742, 1010, 2151, 4945, 1999, 2593, 9052, 17542, 2121, 7287, 2030, 11118, 1010, 2030, 2119, 1010, 2097, 3426, 8260, 4322, 10114, 2000, 2022, 2439, 1012, 1996, 2765, 2003, 2008, 8491, 2146, 3292, 4455, 2064, 2022, 2949, 2090, 6942, 9800, 1998, 6942, 8746, 1010, 1998, 1010, 2065, 1996, 4945, 5158, 2076, 2019, 3161, 2655, 1010, 2089, 2765, 1999, 1996, 2655, 2108, 7950, 2091, 1012, 2117, 1010, 2035, 13782, 2024, 19974, 7718, 1010, 2029, 2965, 2008, 1999, 2344, 2005, 6942, 9800, 2000, 3231, 9052, 17542, 2121, 7287, 1010, 2009, 2442, 2202, 8260, 10114, 2041, 1997, 2326, 1010, 1998, 2582, 1010, 2442, 9499, 6942, 8746, 2008, 2009, 2003, 2725, 2061, 1012, 6942, 8746, 2442, 17654, 1999, 1996, 3231, 1997, 9052, 17542, 2121, 7287, 1998, 3189, 2067, 2000, 6942, 9800, 1012, 1996, 2168, 11967, 4324, 2995, 2043, 6942, 8746, 5852, 9052, 17542, 2121, 11118, 1012, 2582, 1010, 2047, 2376, 22415, 2838, 3685, 15318, 2022, 3107, 2127, 2035, 20509, 13543, 1996, 2047, 3444, 2024, 4198, 2000, 1037, 3327, 6942, 1010, 2144, 2531, 1003, 10813, 2003, 3223, 2000, 11302, 2008, 1996, 22415, 2003, 2800, 2005, 2035, 4455, 1012, 5678, 1010, 2146, 3292, 3316, 2024, 2085, 5738, 1996, 6970, 20051, 2050, 7026, 2326, 3006, 2011, 7176, 7026, 4455, 2090, 2334, 15924, 1999, 1996, 2168, 2326, 2181, 1012, 2061, 1010, 2005, 2742, 1010, 1999, 20965, 1012, 1015, 1010, 2043, 7026, 7886, 4198, 2000, 2334, 6942, 9402, 4455, 7026, 11176, 4198, 2000, 2334, 6942, 12457, 1010, 2612, 1997, 7176, 2083, 1037, 8260, 4198, 2090, 1996, 2334, 3863, 6839, 15924, 2030, 1010, 14084, 1010, 7176, 2083, 1037, 18231, 3498, 2011, 1996, 2334, 3863, 6839, 1010, 1996, 5310, 2012, 7026, 7886, 2089, 3426, 1996, 2655, 2000, 2022, 4198, 2083, 6942, 9800, 2612, 1012, 1999, 2107, 3572, 1010, 1996, 7026, 2326, 10802, 2008, 8617, 6942, 9800, 2052, 2066, 2000, 2022, 2583, 2000, 3749, 9412, 2578, 2029, 21032, 2013, 1996, 2334, 3863, 6839, 1012, 2000, 2023, 2203, 1010, 2009, 2003, 16166, 2000, 2031, 2376, 22415, 2578, 1998, 2838, 2006, 3229, 20509, 9645, 1998, 12963, 1012, 2174, 1010, 1999, 2344, 2000, 3073, 2107, 2376, 22415, 2838, 1010, 1996, 7026, 2326, 10802, 2008, 8617, 6942, 9800, 2442, 2031, 1996, 6792, 1997, 1996, 2334, 3863, 6839, 1999, 2344, 2000, 19974, 5441, 2107, 2578, 1999, 2240, 2006, 3229, 20509, 9645, 1998, 12963, 1012, 2107, 6792, 2089, 2022, 3697, 2000, 6855, 2043, 1996, 2326, 11670, 2024, 1999, 2971, 2005, 1996, 2168, 7026, 4026, 1012, 3568, 1010, 1037, 3291, 1999, 1996, 2396, 2003, 2008, 2045, 2003, 2053, 2291, 2005, 5815, 2376, 22415, 13782, 2060, 2084, 2311, 2068, 1999, 1011, 2240, 2007, 20509, 1012, 2023, 3291, 2003, 13332, 1998, 1037, 4087, 5083, 2003, 4719, 1999, 1996, 2396, 2011, 1037, 2291, 1998, 4118, 2029, 2064, 6942, 2376, 22415, 13782, 2046, 1037, 2376, 4130, 2006, 2019, 3265, 2655, 3978, 1012, 3568, 1010, 2053, 1999, 1011, 2240, 22415, 13782, 2342, 2022, 2328, 2046, 3210, 2030, 20509, 1025, 22415, 13782, 2024, 2612, 12889, 2306, 2028, 2030, 2062, 1997, 1996, 15924, 1012, 2023, 2291, 2003, 3024, 2011, 1037, 11991, 2291, 9605, 1037, 6942, 8313, 1998, 1037, 2430, 2491, 1010, 16726, 1996, 6942, 8313, 2950, 1037, 29018, 1997, 3668, 2051, 10453, 8989, 1006, 1060, 3215, 2072, 1007, 3197, 4198, 2000, 2028, 2030, 2062, 2051, 3674, 2595, 15924, 1012, 1996, 3668, 2051, 10453, 8989, 3131, 2950, 3155, 3807, 1996, 3977, 1997, 1037, 3115, 2051, 10453, 8989, 3131, 1010, 1999, 2344, 2000, 7532, 1037, 29018, 1997, 22415, 13782, 2046, 1037, 2655, 4130, 1012, 1037, 4118, 1997, 4292, 2039, 1037, 2655, 2429, 2000, 2023, 11028, 2950, 16972, 1996, 2655, 2000, 1037, 11991, 2291, 1010, 16972, 1996, 2655, 1999, 1996, 11991, 2291, 2046, 2019, 3668, 2051, 10453, 8989, 1006, 24529, 2072, 1007, 3131, 1010, 2029, 5847, 1996, 2655, 2083, 1996, 22415, 4984, 1010, 1998, 2059, 5847, 1996, 2655, 2067, 2083, 1996, 1060, 3215, 2072, 2000, 1996, 3671, 16972, 2832, 1012, 1037, 2062, 3143, 4824, 1997, 1996, 11028, 2089, 2022, 4663, 2013, 1996, 9584, 1997, 1996, 2206, 6412, 1999, 9595, 2007, 1996, 9254, 1010, 1999, 2029, 1024, 20965, 1012, 1015, 2003, 1037, 3796, 16403, 1997, 1037, 3188, 2396, 7026, 2897, 4760, 2048, 15924, 6970, 24230, 2011, 1037, 8260, 13543, 2376, 22415, 13782, 1025, 20965, 1012, 1016, 2003, 1037, 3796, 16403, 1997, 1037, 11991, 2291, 1010, 28252, 2019, 27792, 7861, 5092, 21341, 1997, 2023, 11028, 1025, 20965, 1012, 1017, 2003, 1037, 3796, 16403, 1997, 2019, 3668, 2051, 10453, 8989, 3131, 2109, 1999, 1996, 9565, 11991, 2291, 1997, 20965, 1012, 1016, 1025, 20965, 1012, 1018, 2003, 1037, 3796, 16403, 1997, 1037, 11991, 2291, 2429, 2000, 2019, 4522, 7861, 5092, 21341, 1997, 2023, 11028, 1025, 1998, 20965, 1012, 1019, 2003, 1037, 4834, 3673, 1997, 1996, 3169, 1997, 1037, 11991, 2291, 2429, 2000, 2023, 11028, 1012, 20965, 1012, 1016, 24899, 1037, 3796, 16403, 1997, 1037, 11991, 2291, 2429, 2000, 2019, 27792, 7861, 5092, 21341, 1997, 2023, 11028, 1012, 6942, 3263, 8681, 1037, 1000, 9565, 1000, 6942, 1010, 2030, 2146, 3292, 6942, 1010, 2107, 2004, 2019, 2012, 1004, 1056, 1018, 7971, 30108, 6942, 1012, 1996, 1018, 7971, 11991, 2291, 2003, 2062, 3929, 2649, 1999, 1996, 4330, 2291, 4087, 3485, 1010, 3872, 5179, 1010, 2193, 1021, 1006, 5530, 7886, 2629, 1011, 14078, 2692, 1007, 1010, 2244, 1010, 3355, 1010, 2029, 2003, 5100, 2182, 2378, 2011, 4431, 1012, 6942, 3263, 2950, 6942, 8313, 16798, 1998, 2430, 2491, 19627, 1010, 2004, 2003, 2124, 1999, 1996, 2396, 1012, 2430, 2491, 19627, 3640, 16972, 2592, 2005, 6942, 8313, 16798, 1998, 10438, 2060, 8518, 2164, 14828, 1998, 6032, 1010, 2004, 2003, 2124, 1999, 1996, 2396, 1012, 2430, 2491, 19627, 2003, 4198, 2000, 2060, 11991, 3001, 3081, 14828, 2897, 18744, 1012, 6942, 8313, 16798, 1010, 2429, 2000, 2019, 27792, 7861, 5092, 21341, 1997, 2023, 11028, 1010, 8681, 1037, 29018, 1997, 3668, 2051, 10453, 8989, 1006, 1060, 3215, 2072, 1007, 3197, 18512, 1011, 1015, 1011, 18512, 1011, 2385, 1010, 4198, 2000, 14932, 20509, 12875, 1012, 2045, 2024, 2036, 1037, 29018, 1997, 1060, 3215, 2072, 1005, 1055, 18164, 1011, 1015, 1011, 18164, 1011, 2385, 4198, 2000, 22011, 20509, 19936, 1012, 14932, 1060, 3215, 2072, 1005, 1055, 18512, 1998, 22011, 1060, 3215, 2072, 1005, 1055, 18164, 2024, 6970, 24230, 3081, 1037, 29018, 1997, 2051, 3674, 2595, 15924, 1006, 1056, 5244, 1007, 20294, 1011, 1015, 1011, 20294, 1011, 1018, 1012, 2051, 3674, 2595, 15924, 20294, 2024, 2124, 1999, 1996, 2396, 1010, 1998, 2649, 1999, 1996, 2682, 4431, 1012, 1996, 2193, 1997, 1060, 3215, 2072, 3197, 1998, 1056, 5244, 3197, 2024, 2445, 6414, 2000, 19141, 2019, 27792, 7861, 5092, 21341, 1997, 2023, 11028, 1010, 1998, 2089, 2022, 9426, 2302, 15971, 2013, 1996, 9531, 1997, 2023, 11028, 1012, 2582, 1010, 3188, 2396, 2051, 10453, 8989, 3197, 1998, 8260, 19706, 2089, 2022, 6970, 4328, 19068, 2007, 1060, 3215, 2072, 1005, 1055, 1010, 2947, 4346, 16991, 1999, 1996, 9563, 1997, 6942, 8313, 16798, 1012, 1037, 9563, 1997, 6942, 3263, 1999, 20965, 1012, 1016, 2003, 6414, 5665, 19966, 18514, 1010, 1999, 2008, 14932, 1060, 3215, 2072, 1005, 1055, 18512, 1998, 22011, 1060, 3215, 2072, 1005, 1055, 18164, 2024, 2428, 1999, 1996, 2168, 3482, 1998, 2024, 6970, 24230, 2011, 1056, 5244, 1005, 1055, 20294, 1012, 1996, 23476, 14614, 1997, 20965, 1012, 1016, 2003, 2005, 1996, 5682, 1997, 15563, 1012, 2430, 2491, 19627, 2003, 4198, 2000, 2035, 1060, 3215, 2072, 1005, 1055, 18512, 1998, 18164, 1010, 1998, 2051, 3674, 2595, 15924, 20294, 1010, 2021, 2107, 7264, 2024, 2025, 3491, 2005, 15563, 1012, 1037, 3796, 16403, 1997, 2019, 1060, 3215, 2072, 1010, 2429, 2000, 2019, 27792, 7861, 5092, 21341, 1997, 2023, 11028, 1010, 2003, 3491, 1999, 20965, 1012, 1017, 1012, 2019, 14932, 1060, 3215, 2072, 18512, 2003, 7203, 1010, 2174, 1010, 22011, 1060, 3215, 2072, 1005, 1055, 2107, 2004, 18164, 2024, 1037, 5259, 3746, 1997, 2023, 14614, 1012, 14932, 20509, 18512, 8116, 1037, 2951, 5460, 1006, 1045, 1012, 1041, 1012, 1010, 4185, 21677, 4523, 7473, 2213, 5052, 4613, 1007, 2000, 7953, 19706, 22060, 1012, 1999, 1996, 27792, 7861, 5092, 21341, 1997, 2023, 11028, 2045, 2089, 2022, 2039, 2000, 2416, 7953, 19706, 22060, 1011, 1015, 1011, 22060, 1011, 1020, 1012, 7953, 19706, 22060, 8116, 2951, 2000, 1037, 3902, 23859, 1012, 3902, 23859, 2003, 2691, 2000, 2035, 1997, 1996, 3197, 1999, 1060, 3215, 2072, 18512, 1998, 2003, 2109, 2005, 2119, 2951, 1998, 2491, 2592, 1012, 7953, 19706, 22060, 8116, 2951, 2000, 3902, 23859, 1998, 2059, 2000, 2051, 10453, 8989, 24622, 1012, 2051, 10453, 8989, 24622, 8681, 1037, 2051, 10453, 8989, 2099, 2029, 15800, 2051, 10453, 2951, 1010, 2004, 2003, 2113, 1999, 1996, 2396, 1998, 2649, 1999, 1996, 2682, 4431, 1012, 2174, 1010, 2051, 10453, 8989, 24622, 2003, 3807, 2004, 2312, 2004, 3223, 2005, 3671, 11991, 3791, 1012, 2004, 2097, 2022, 2464, 2917, 1010, 1996, 4469, 3977, 2005, 2051, 10453, 8989, 24622, 14245, 2376, 22415, 13782, 2000, 2022, 2794, 2000, 1996, 2376, 2951, 5460, 1012, 1999, 2023, 27792, 7861, 5092, 21341, 1010, 2051, 10453, 8989, 24622, 5320, 1996, 2376, 2951, 5460, 2000, 2022, 19578, 2067, 2000, 3902, 23859, 1998, 2059, 2000, 2028, 1997, 1996, 2376, 22415, 13782, 24232, 1011, 1015, 1011, 24232, 1011, 2260, 1012, 1999, 2023, 7861, 5092, 21341, 2045, 2089, 2022, 2260, 2367, 2376, 22415, 13782, 1012, 3227, 1010, 2045, 2024, 2702, 3161, 1998, 2048, 8622, 1012, 2174, 1010, 2151, 9563, 2003, 2566, 26770, 1012, 7297, 1010, 2045, 2089, 2022, 1037, 8150, 1997, 2367, 2376, 22415, 13782, 24232, 2306, 24529, 2072, 18512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2175, 7770, 2680, 2476, 1011, 26836, 1999, 2685, 1006, 1021, 1007, 1010, 11049, 1006, 1022, 1007, 1010, 8456, 1006, 1015, 1007, 1998, 5991, 1006, 1015, 1007, 5443, 1012, 7055, 1006, 13097, 14838, 1007, 1012, 1996, 5765, 2308, 1005, 1055, 3455, 2136, 2003, 2275, 2000, 3942, 11293, 2006, 5958, 1010, 13292, 1012, 2324, 2012, 1021, 1052, 1012, 1049, 1012, 1010, 1999, 3945, 1997, 2049, 2034, 2663, 1997, 1996, 2161, 1012, 1996, 11466, 2003, 1016, 1011, 1023, 2035, 1011, 2051, 2114, 1996, 24037, 1998, 2038, 2439, 2169, 1997, 1996, 2197, 2176, 6295, 2090, 1996, 2780, 1012, 5765, 1005, 1055, 2197, 3377, 1999, 1996, 2186, 2234, 2006, 11703, 1012, 2570, 1010, 2494, 1010, 1037, 6421, 1011, 5354, 2663, 1999, 11293, 1012, 4599, 2064, 4952, 2000, 2019, 5746, 2069, 5460, 1997, 5958, 1005, 1055, 2208, 2444, 2006, 2175, 26775, 5714, 3385, 1012, 4012, 2011, 22042, 2182, 1012, 2197, 2051, 2041, 1996, 11466, 2441, 1996, 2095, 1014, 1011, 1016, 2012, 1996, 21117, 10623, 1011, 2694, 1023, 24882, 6672, 4119, 1999, 5947, 2103, 1010, 5947, 1010, 2073, 2009, 3062, 2000, 5947, 1010, 3938, 1011, 6282, 1010, 1998, 7055, 1010, 6353, 1011, 6273, 1012, 2035, 1011, 2977, 4989, 10941, 5215, 10349, 2014, 2476, 1011, 2152, 2007, 2654, 2685, 2114, 1996, 24882, 23147, 2006, 5095, 1010, 1998, 2513, 2000, 1996, 2457, 2000, 3556, 2459, 2114, 1996, 15120, 2006, 4465, 1012, 22953, 5289, 10498, 2419, 5765, 2007, 2324, 2685, 2114, 7055, 1012, 11562, 2182, 2000, 3422, 11637, 2013, 1996, 24882, 6672, 4438, 2006, 2175, 26775, 5714, 3385, 1012, 4012, 1012, 2017, 2064, 4175, 2006, 5215, 10941, 5215, 10349, 2014, 2476, 1011, 2152, 1997, 2654, 2685, 1999, 5765, 1005, 1055, 2161, 16181, 2012, 5947, 1010, 7294, 2184, 1011, 1997, 1011, 2322, 7171, 2013, 1996, 2723, 1998, 2183, 1021, 1011, 1997, 1011, 2340, 2012, 1996, 2240, 1012, 2016, 3195, 2459, 1996, 2206, 2154, 2114, 7055, 1010, 2164, 2321, 1999, 1996, 2117, 2431, 1010, 5008, 2019, 21791, 1019, 1011, 1997, 1011, 1021, 2013, 1996, 2723, 1998, 1021, 1011, 1997, 1011, 1022, 2012, 1996, 2240, 1012, 12542, 2011, 3157, 2114, 1996, 15120, 2007, 1015, 1024, 4229, 3823, 3588, 1010, 5215, 3195, 2274, 3442, 2685, 2000, 12125, 5765, 1005, 1055, 12845, 2004, 1996, 11466, 2766, 2000, 2306, 2028, 1012, 5215, 2001, 2315, 2000, 1996, 24882, 6672, 4438, 2035, 1011, 2977, 2136, 1998, 1996, 6667, 25378, 25666, 2791, 1012, 4012, 7768, 2223, 2447, 1997, 1996, 2733, 2005, 2014, 4073, 1012, 2447, 2000, 3422, 3026, 2522, 1011, 2952, 22953, 5289, 10498, 1010, 2040, 2419, 1996, 11466, 2007, 2410, 1012, 1020, 4903, 2290, 1998, 1018, 1012, 1020, 9706, 2290, 2197, 2161, 1010, 2001, 2956, 2006, 5846, 29051, 1005, 2862, 1997, 3054, 1011, 2350, 2867, 2000, 3422, 2006, 10978, 1012, 4012, 1012, 1000, 1996, 1019, 1011, 1022, 4058, 3128, 11398, 1018, 1012, 1020, 8456, 2566, 2208, 2004, 1037, 3502, 1998, 4396, 6619, 1999, 1996, 3842, 1999, 6509, 1011, 2000, 1011, 20991, 6463, 1012, 2016, 1005, 1055, 2025, 2035, 3413, 1010, 3173, 3031, 1996, 3608, 2411, 2438, 2000, 2599, 1996, 11466, 2011, 14985, 2410, 1012, 1020, 2685, 2566, 2208, 1998, 5607, 4464, 3867, 2013, 1996, 1017, 1011, 2391, 2240, 1012, 1000, 2085, 3225, 2005, 5765, 1012, 1012, 1012, 3502, 5616, 2175, 7770, 2081, 2014, 2034, 2476, 2707, 2012, 5947, 2096, 3026, 22953, 5289, 10498, 2081, 2014, 6584, 2705, 1012, 5765, 2109, 1996, 2168, 3225, 10515, 2005, 2119, 2399, 2012, 1996, 24882, 6672, 4119, 1010, 2029, 2443, 10498, 1006, 6070, 2476, 4627, 1007, 1010, 10941, 5215, 1006, 2382, 1007, 1010, 3848, 5423, 4842, 2102, 1006, 4466, 1007, 1010, 2175, 7770, 1006, 1016, 1007, 1998, 16925, 21766, 23102, 2078, 1006, 2403, 1007, 1012, 2012, 1996, 2240, 5765, 2915, 3938, 1012, 1019, 3867, 2012, 1996, 2240, 2114, 7055, 1010, 7176, 2006, 2539, 1011, 1997, 1011, 2538, 4740, 1012, 1996, 11466, 4396, 5767, 1999, 1996, 5803, 2197, 2161, 1999, 2489, 1011, 5466, 7017, 1006, 4293, 1012, 1023, 1007, 1010, 1998, 2031, 2419, 1996, 7768, 2223, 2169, 1997, 1996, 2627, 2048, 3692, 1012, 3026, 2522, 1011, 2952, 22953, 5289, 10498, 2150, 1996, 6286, 2266, 1997, 5765, 2308, 1005, 1055, 3455, 1005, 1055, 1015, 1010, 2199, 2391, 2252, 2197, 2161, 1012, 10498, 2003, 2747, 4396, 6122, 1999, 2565, 2381, 2007, 1015, 1010, 5641, 2581, 2685, 1010, 11303, 14677, 2685, 2000, 3338, 2046, 1996, 2082, 1005, 1055, 2327, 2184, 1998, 25504, 2685, 2000, 4607, 1996, 7768, 2223, 1005, 1055, 2327, 2382, 1012, 10498, 2036, 6938, 3587, 2012, 5765, 2007, 27433, 2476, 8456, 1998, 2003, 3983, 1999, 3418, 2809, 2381, 1012, 2023, 2161, 2016, 2071, 3693, 6253, 28117, 1005, 5641, 1006, 1015, 1010, 25246, 19637, 1012, 1010, 4868, 2549, 2004, 2102, 1012, 1007, 2004, 2028, 1997, 2069, 2048, 3076, 1011, 7576, 1999, 2565, 2381, 2000, 3556, 1015, 1010, 3263, 2685, 1998, 9841, 2041, 3156, 8456, 1012, 2014, 2476, 2489, 1011, 5466, 7017, 1997, 6282, 1012, 1021, 2003, 2204, 2005, 6619, 1999, 1996, 7768, 2223, 2501, 2338, 1012, 11562, 2182, 2000, 3942, 1996, 2865, 2415, 2006, 2175, 26775, 5714, 3385, 1012, 4012, 2000, 3229, 5765, 1005, 1055, 2087, 2039, 1011, 2000, 1011, 3058, 2476, 2636, 1012, 2476, 4577, 1006, 5765, 1007, 1015, 1012, 10786, 9831, 2121, 1005, 5818, 1016, 1010, 21036, 2410, 1012, 22953, 5289, 10498, 1005, 2260, 1015, 1010, 5641, 2581, 2476, 8456, 1006, 5765, 1007, 1015, 1012, 7673, 18318, 2072, 1005, 6185, 4583, 2620, 1019, 1012, 22953, 5289, 10498, 1005, 2260, 27433, 2476, 8456, 1006, 7768, 1007, 1015, 1012, 7673, 18318, 2072, 1005, 6185, 1010, 5765, 4583, 2620, 2322, 1012, 22953, 5289, 10498, 1005, 2260, 1010, 5765, 27433, 2476, 2489, 1011, 5466, 7017, 1006, 7768, 1007, 1015, 1012, 10413, 2061, 4360, 3654, 1005, 5757, 1010, 16960, 6486, 1012, 1023, 1023, 1012, 22953, 5289, 10498, 1005, 2260, 1010, 5765, 6282, 1012, 1021, 3054, 1011, 2350, 2327, 2423, 5765, 2001, 3205, 2004, 4909, 4494, 1999, 1996, 2267, 7076, 18688, 1012, 4012, 20038, 3054, 1011, 2350, 2327, 2423, 1010, 2021, 3333, 2041, 1997, 1996, 2087, 3522, 8554, 2207, 13292, 1012, 2321, 1012, 2176, 1997, 1996, 11466, 1005, 1055, 7892, 1999, 2249, 1011, 2260, 2024, 2747, 1999, 1996, 10385, 1010, 2164, 9173, 1006, 1017, 1007, 1010, 7055, 1006, 27634, 1007, 1010, 3731, 2118, 1006, 27634, 1007, 1998, 13381, 1006, 27634, 1007, 1012, 2267, 7076, 18688, 1012, 4012, 3054, 1011, 2350, 2327, 2423, 13292, 1012, 2321, 1011, 1011, 1037, 2465, 2552, 3026, 2522, 1011, 2952, 22953, 5289, 10498, 2038, 2042, 3479, 2004, 1037, 4018, 2005, 1996, 14086, 1005, 1055, 3026, 2465, 2400, 1012, 10498, 1010, 1037, 2093, 1011, 2051, 2035, 1011, 7768, 3932, 4402, 1998, 1015, 1010, 2199, 2391, 10835, 1010, 2003, 1037, 6825, 9530, 13013, 16259, 2012, 5765, 1998, 2038, 2042, 1037, 2266, 1997, 1996, 2118, 1005, 1055, 3076, 1011, 8258, 7319, 2837, 2005, 2093, 2086, 1012, 2076, 1996, 2268, 1011, 2184, 3834, 2095, 2016, 2366, 2004, 1996, 2837, 1005, 1055, 2451, 2326, 2522, 1011, 3242, 1998, 2001, 3625, 2005, 6274, 2062, 2084, 1002, 1015, 1010, 6352, 2875, 7388, 4456, 2470, 2007, 1996, 2724, 6847, 2811, 2005, 7388, 4456, 1012, 10498, 2003, 2036, 8851, 2920, 2007, 1996, 3029, 7576, 1999, 2895, 1010, 2003, 1037, 2266, 1997, 5765, 1005, 1055, 18301, 2252, 1010, 1998, 2038, 2419, 2014, 13220, 1999, 2195, 2451, 2326, 11107, 1999, 1996, 4729, 2451, 1012, 2019, 20137, 2005, 12964, 9721, 1998, 6344, 2005, 6595, 1999, 2082, 29656, 1010, 1996, 14086, 1005, 1055, 3026, 2465, 2400, 7679, 2006, 1996, 2561, 3076, 1011, 8258, 1998, 16171, 2493, 2000, 2224, 2037, 4132, 1999, 6482, 2000, 2191, 1037, 3893, 4254, 2004, 4177, 1999, 2037, 4279, 1012, 2000, 2022, 7792, 2005, 1996, 2400, 1010, 1037, 3076, 1011, 8258, 2442, 2022, 6219, 2004, 2019, 5803, 2407, 1045, 3026, 1998, 2031, 3862, 10106, 1999, 2176, 2752, 1997, 8012, 1516, 2451, 1010, 9823, 1010, 2839, 1998, 2971, 1012, 10498, 2003, 2028, 1997, 2382, 2308, 1005, 1055, 3455, 3076, 1011, 7576, 2039, 2005, 1996, 2400, 1010, 1998, 2013, 1996, 2862, 1997, 2382, 5347, 1037, 2120, 2865, 2837, 2097, 7276, 2184, 13527, 2005, 1996, 2249, 1011, 2260, 14086, 1005, 1055, 3026, 2465, 2400, 1999, 2397, 2254, 1012, 2216, 2184, 3415, 2097, 2059, 2022, 2872, 2006, 1996, 2880, 10428, 2005, 1037, 9053, 3789, 1012, 5470, 10428, 2075, 2097, 2022, 11211, 2007, 4494, 2013, 7850, 1998, 2865, 2000, 5646, 1996, 7799, 1997, 1996, 2400, 1012, 1996, 11466, 2709, 2093, 2035, 1011, 7768, 16310, 1998, 1037, 2561, 1997, 2184, 3076, 1011, 7576, 2013, 2197, 2095, 1005, 1055, 2136, 2029, 2253, 2324, 1011, 2184, 3452, 1998, 2736, 2117, 1999, 1996, 7768, 2223, 2007, 1037, 2184, 1011, 1018, 3034, 2928, 1012, 26533, 2008, 2177, 2003, 3026, 2522, 1011, 2952, 22953, 5289, 10498, 1010, 1037, 2093, 1011, 2051, 2035, 1011, 7768, 3932, 4402, 1998, 2034, 2136, 4060, 1999, 2249, 1012, 3848, 5423, 4842, 2102, 2038, 2042, 2315, 2000, 1996, 2117, 2136, 1999, 2169, 1997, 1996, 2627, 2048, 3692, 1998, 10941, 5215, 2001, 2019, 7768, 2223, 2035, 1011, 8305, 4060, 1037, 2095, 3283, 1012, 2169, 1997, 1996, 2093, 2736, 2426, 1996, 2327, 2184, 1999, 4577, 1999, 1996, 3034, 1999, 2230, 1011, 2340, 1012, 5765, 2038, 10979, 2274, 2047, 5344, 2000, 1996, 2136, 2005, 2249, 1011, 2260, 1010, 1037, 14357, 2465, 2029, 2001, 4396, 17089, 1999, 1996, 3842, 2011, 10978, 1012, 2023, 2177, 2950, 4932, 4862, 9195, 1998, 28584, 11586, 14322, 1010, 1998, 19390, 8915, 4328, 6904, 18259, 2368, 2571, 1010, 10941, 16042, 8162, 1998, 11781, 23149, 1012, 1000, 1999, 2026, 2382, 2086, 1999, 1996, 2223, 1045, 2031, 2018, 1998, 2464, 2070, 9313, 4280, 1010, 1998, 2023, 2028, 11758, 2000, 1996, 2327, 1997, 1996, 2862, 1010, 1000, 2056, 2132, 2873, 14986, 22101, 1011, 3044, 1012, 1000, 2007, 1996, 2804, 1997, 1996, 2465, 1997, 2325, 1010, 2057, 2024, 5186, 7568, 2000, 3613, 2358, 3089, 6455, 2005, 3020, 3798, 1997, 3112, 2096, 2311, 2006, 1996, 2528, 4535, 2057, 2031, 2511, 2182, 2012, 5765, 1012, 1000, 2006, 1996, 6847, 2132, 2873, 14986, 22101, 1011, 3044, 5651, 2005, 2014, 13293, 2161, 2004, 1996, 2132, 2873, 1997, 1996, 5765, 2308, 1005, 1055, 3455, 2565, 1012, 22101, 1011, 3044, 1005, 1055, 3429, 2575, 2476, 9248, 2191, 2014, 1996, 3045, 4355, 2308, 1005, 1055, 3455, 2873, 1999, 7768, 2223, 2381, 1998, 2016, 6938, 2117, 2069, 2000, 9173, 1005, 1055, 8987, 2873, 6969, 12385, 4014, 1006, 4868, 2549, 1007, 2005, 5222, 2011, 2019, 3418, 2809, 2873, 1012, 2104, 2014, 8606, 1996, 11466, 2038, 2180, 2340, 7768, 2223, 4486, 1010, 2038, 2081, 2416, 9109, 2000, 1996, 5803, 2977, 1998, 2038, 3807, 2596, 1999, 1996, 1059, 3490, 2102, 1012, 5163, 29194, 2003, 1999, 2014, 2959, 2161, 2004, 2019, 3353, 2873, 2104, 22101, 1011, 3044, 1998, 2097, 2022, 2587, 2006, 2217, 12735, 2011, 2034, 2095, 16838, 12110, 2534, 3258, 1005, 5511, 1998, 5348, 5562, 10921, 1012, 19031, 5794, 2358, 22494, 2102, 5651, 2005, 1037, 3587, 2161, 2004, 1996, 2565, 1005, 1055, 2472, 1997, 3455, 3136, 1012, 2007, 2093, 4192, 2035, 1011, 7768, 16310, 1998, 2746, 2125, 2019, 2324, 1011, 2184, 2161, 1010, 1996, 5765, 2308, 1005, 1055, 3455, 2136, 2001, 3856, 2117, 1999, 1996, 2249, 1011, 2260, 7768, 2223, 20038, 8554, 1012, 1996, 11466, 1010, 2029, 2038, 2736, 2117, 1999, 1996, 3034, 1999, 2169, 1997, 1996, 2627, 2093, 3692, 1010, 2363, 12567, 2685, 1998, 13056, 2093, 1997, 1996, 8554, 1005, 1055, 2034, 1011, 2173, 4494, 1012, 2048, 1011, 2051, 6984, 7768, 2223, 3410, 9173, 2001, 21628, 8270, 2034, 1010, 4909, 14506, 2685, 1998, 2403, 2034, 1011, 2173, 4494, 1010, 2096, 7996, 1006, 9800, 1007, 1998, 9502, 1006, 6273, 1007, 8352, 2041, 1996, 2327, 2176, 1012, 2829, 1006, 5764, 1007, 1010, 3996, 1006, 4720, 1007, 1010, 16960, 1006, 4720, 1007, 1998, 10921, 1006, 2538, 1007, 4396, 3587, 2083, 5964, 1010, 4414, 1012, 2249, 1011, 2260, 7768, 2223, 20038, 8554, 1015, 1012, 9173, 1006, 2403, 1007, 14506, 1016, 1012, 5765, 1006, 1017, 1007, 12567, 1017, 1012, 7996, 9800, 1018, 1012, 9502, 6273, 1019, 1012, 2829, 5764, 1020, 1012, 3996, 4720, 1022, 1012, 10921, 2538, 2952, 2075, 1996, 2911, 15995, 22953, 5289, 10498, 1998, 12110, 17438, 2020, 4217, 2011, 2037, 13220, 2004, 15755, 2005, 1996, 2249, 1011, 2260, 2161, 1012, 10498, 2003, 1037, 2093, 1011, 2095, 11753, 1998, 2048, 1011, 2051, 2136, 12041, 1010, 2096, 17438, 3687, 1996, 5765, 6620, 2400, 2206, 1996, 2268, 1011, 2184, 2161, 1012, 5765, 2003, 2539, 1011, 2539, 2035, 1011, 2051, 1999, 2161, 16181, 2015, 1998, 2459, 1011, 2321, 2104, 2132, 2873, 14986, 22101, 1011, 3044, 1012, 1996, 11466, 3062, 2000, 5947, 1010, 3938, 1011, 6282, 1010, 1999, 2009, 1005, 1055, 2249, 1011, 2260, 16181, 2000, 10245, 1037, 2048, 1011, 2208, 3045, 9039, 1999, 2161, 3098, 15795, 1012, 1037, 2223, 1997, 2037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1024, 2035, 2372, 1997, 1996, 4151, 2892, 2451, 10424, 1024, 2745, 1039, 1012, 11338, 14971, 3122, 1010, 1055, 1012, 1046, 1012, 1010, 2343, 2128, 1024, 4067, 2017, 1517, 1998, 6160, 1996, 2249, 1011, 2260, 3834, 2095, 2012, 4151, 2892, 2038, 5625, 2007, 1996, 5508, 1997, 1996, 2465, 1997, 2325, 1012, 2007, 1037, 5133, 4040, 7682, 2091, 2004, 1996, 2047, 2493, 3876, 2046, 2037, 5039, 9873, 1010, 2009, 5121, 2038, 2042, 2028, 1997, 1996, 2087, 13432, 16556, 1999, 3522, 2267, 2381, 1012, 2057, 2024, 19590, 2008, 2256, 3721, 2106, 2025, 15770, 2151, 6441, 1010, 9530, 3366, 15417, 4818, 4053, 2030, 3279, 1012, 2256, 12583, 2024, 2007, 1996, 2945, 1998, 4279, 2039, 1998, 2091, 1996, 2264, 3023, 1998, 1999, 2642, 2047, 2563, 2040, 2024, 2145, 27520, 2007, 1996, 10530, 1997, 1996, 4040, 1012, 2005, 2256, 2219, 3095, 1998, 2945, 2040, 2089, 2031, 2373, 2041, 13923, 2030, 4053, 2000, 2037, 5144, 1010, 3531, 3967, 2115, 22565, 1998, 1996, 2529, 4219, 2533, 2000, 9499, 2068, 2000, 2151, 3697, 8146, 2030, 6214, 2017, 2089, 2022, 13417, 1012, 2007, 1996, 5081, 1997, 6923, 6215, 1010, 5193, 20461, 2015, 1010, 1998, 2060, 14350, 1998, 16990, 2015, 1010, 1996, 4040, 5360, 3071, 1521, 1055, 3488, 1998, 20283, 1012, 1996, 4151, 2892, 5057, 3433, 2136, 1517, 2007, 2372, 2013, 2408, 1996, 3721, 1010, 2164, 2270, 3808, 1010, 3831, 2578, 1010, 3558, 3269, 1010, 2493, 3821, 1010, 1996, 4670, 1521, 1055, 2436, 1010, 7759, 1010, 5039, 2166, 1010, 1998, 2116, 2060, 4822, 1517, 2499, 10791, 2135, 2000, 8080, 1996, 2607, 1997, 2059, 1011, 7064, 12855, 1010, 2000, 5675, 2618, 1998, 15389, 9530, 3436, 11916, 3488, 1010, 1998, 2000, 6133, 3721, 3136, 9689, 1998, 6464, 2076, 1996, 5729, 4633, 1012, 2043, 2009, 2150, 3154, 2008, 1996, 5409, 1997, 1996, 4040, 2052, 2718, 12539, 2006, 4465, 1010, 2257, 2654, 1010, 4522, 3488, 2020, 2081, 2005, 2256, 3098, 1517, 2164, 1996, 3247, 2000, 2031, 3356, 26266, 2493, 8536, 2037, 2709, 2000, 3721, 1012, 2008, 3247, 2001, 2025, 2081, 8217, 1010, 1998, 2001, 1996, 2765, 1997, 1037, 2307, 3066, 1997, 2729, 1010, 3972, 20755, 8156, 1010, 1998, 4106, 1997, 1996, 2800, 2951, 1012, 3356, 11800, 1999, 3071, 1521, 1055, 9273, 2001, 1996, 3808, 1997, 2256, 2493, 1012, 2034, 1011, 2095, 2493, 1998, 15210, 2020, 2583, 2000, 2693, 1999, 2006, 5095, 2004, 2761, 5115, 1025, 1998, 1996, 2832, 2253, 4469, 8551, 3981, 11272, 15299, 1012, 2023, 2001, 1037, 2307, 7050, 2000, 1996, 4105, 1998, 3029, 1997, 2658, 3095, 1999, 5039, 2166, 1010, 3076, 3821, 1010, 2270, 3808, 1998, 2116, 2060, 4822, 1025, 1996, 11813, 2147, 1997, 3076, 10296, 4177, 1010, 6319, 16838, 1998, 2060, 3076, 4177, 1025, 1998, 1996, 6951, 2393, 1997, 2116, 2334, 9441, 1012, 1996, 14932, 2493, 1998, 2037, 2945, 2020, 13394, 2011, 1996, 8122, 1010, 12276, 1010, 8251, 1010, 1998, 12024, 1997, 2035, 2040, 2499, 2008, 2154, 1012, 1996, 4397, 3369, 2493, 2020, 2583, 2000, 10838, 2007, 11909, 2015, 3450, 2802, 1996, 5353, 1010, 2295, 2070, 3454, 2734, 2000, 2022, 2333, 2000, 1996, 5039, 9873, 2076, 1996, 4578, 1997, 1996, 4040, 1012, 4192, 2493, 2097, 2022, 7194, 2006, 3721, 2058, 1996, 2279, 3232, 1997, 2420, 1010, 2007, 4280, 2927, 2006, 9317, 2004, 5115, 1012, 2296, 3947, 2003, 2108, 2081, 2000, 8752, 2216, 2493, 3005, 5508, 2038, 2042, 8394, 2011, 1996, 4040, 1012, 2004, 2057, 4088, 2023, 3834, 2095, 1010, 1045, 2572, 2153, 6966, 1997, 2129, 8794, 1045, 2572, 2005, 2035, 2169, 1997, 2017, 2515, 2005, 4151, 2892, 1012, 2115, 7070, 5857, 2000, 2023, 2451, 2024, 2054, 3084, 2023, 2107, 1037, 8200, 2173, 2000, 2147, 1998, 4553, 1012, 2057, 2024, 8794, 2000, 3189, 2008, 2053, 2028, 2001, 5229, 1998, 1996, 3721, 2106, 2025, 15770, 2151, 4053, 2076, 2023, 5353, 1521, 1055, 4040, 1012, 2034, 1011, 2095, 2493, 2020, 2583, 2000, 2693, 1999, 2006, 5095, 1010, 1998, 11909, 2015, 10296, 2003, 5719, 1012, 2019, 7172, 11909, 2015, 6134, 2001, 2741, 2000, 2035, 2034, 1011, 2095, 2493, 7483, 1012, 2035, 2060, 2493, 2323, 2693, 1999, 4826, 1012, 2115, 12655, 1998, 2465, 4670, 2097, 2191, 2035, 6413, 26167, 2065, 2115, 2709, 2000, 3721, 2003, 8394, 3458, 1996, 2034, 2420, 1997, 4280, 1012, 4280, 4088, 2006, 9317, 1010, 15476, 1012, 2861, 1012, 1996, 1523, 7713, 1999, 2173, 1524, 2344, 2097, 2022, 4196, 2012, 1019, 1052, 1012, 1049, 1012, 3531, 3613, 2000, 2224, 14046, 2004, 2045, 2089, 2022, 2070, 21961, 3612, 1998, 4040, 11385, 1012, 26659, 7759, 2534, 2097, 2022, 2330, 1998, 3201, 2000, 3710, 1996, 3944, 7954, 2012, 1019, 1052, 1012, 1049, 1012, 1996, 14851, 3721, 2415, 2097, 2330, 2012, 1021, 1052, 1012, 1049, 1012, 10296, 2724, 2592, 2000, 3582, 3081, 10373, 1012, 2005, 2493, 2542, 2125, 1011, 3721, 1024, 7713, 1011, 1999, 1011, 2173, 2344, 2003, 2145, 1999, 3466, 2006, 3721, 1012, 2151, 3076, 2542, 2125, 1011, 3721, 2040, 2003, 2559, 2000, 7713, 2006, 3721, 2323, 2655, 1996, 2533, 1997, 2270, 3808, 2012, 1006, 2753, 2620, 1007, 6535, 2509, 1011, 19015, 2475, 1012, 2349, 2000, 1996, 8455, 4040, 1996, 1523, 7713, 1999, 2173, 1524, 2344, 2097, 2022, 1999, 3466, 2927, 2012, 1021, 1037, 1012, 1049, 1012, 4465, 2257, 2654, 1012, 2493, 2442, 3961, 1999, 2037, 5039, 9873, 2127, 1996, 2344, 2038, 2042, 4196, 1012, 26659, 7759, 2534, 2097, 2022, 2701, 2005, 6350, 4826, 1012, 2057, 2097, 3613, 2000, 8080, 1996, 4040, 1998, 2057, 2097, 3073, 2062, 2592, 2004, 1996, 4040, 5235, 2083, 2256, 2181, 1012, 4067, 2017, 2005, 2115, 6234, 3086, 1012, 2065, 2017, 2031, 3980, 1010, 3531, 3967, 2270, 3808, 2012, 1006, 2753, 2620, 1007, 6535, 2509, 1011, 19015, 2475, 1012, 2005, 3721, 2451, 1024, 1996, 4151, 2892, 5057, 3433, 2136, 2003, 5719, 2000, 8080, 1996, 2607, 1997, 7064, 12855, 1998, 2000, 2933, 3721, 3136, 2076, 1996, 3517, 5729, 4633, 1012, 2783, 4311, 5769, 2008, 1996, 4578, 1997, 1996, 4040, 2071, 2718, 12539, 2006, 4465, 1010, 2257, 2654, 1012, 2012, 2070, 2391, 2008, 2154, 1010, 2493, 1998, 3095, 2040, 2024, 2006, 3721, 2089, 2022, 10290, 2000, 1523, 7713, 1999, 2173, 1524, 2011, 20710, 1010, 10296, 4177, 1010, 1998, 2060, 8390, 3095, 2075, 2115, 3121, 1012, 2138, 2115, 3808, 1998, 3036, 2003, 2256, 2327, 9470, 1010, 3531, 2022, 9499, 2005, 2107, 2019, 8874, 1025, 1998, 4952, 2000, 1998, 3582, 8128, 1012, 2065, 1037, 1523, 7713, 1999, 2173, 1524, 8874, 2003, 2081, 1010, 2994, 2503, 1025, 2079, 2025, 2681, 1996, 2311, 2073, 2017, 2024, 2284, 1012, 2005, 2465, 1997, 2325, 1024, 2138, 1997, 3517, 4542, 1998, 1996, 2342, 2005, 2116, 2945, 2000, 2709, 2188, 2077, 1996, 4040, 1010, 1996, 2051, 1998, 3295, 3742, 1997, 1996, 4151, 4382, 2038, 2904, 1012, 1996, 3742, 2097, 2022, 2218, 5095, 1010, 2257, 2676, 2012, 1016, 1052, 1012, 1049, 1012, 1006, 2612, 1997, 1018, 1052, 1012, 1049, 1012, 1007, 1998, 2097, 2022, 24274, 1999, 1996, 7530, 8640, 2415, 1006, 2025, 1996, 7530, 10168, 1007, 1012, 2057, 2298, 2830, 2000, 18066, 2034, 1011, 2095, 2493, 1998, 27118, 15916, 4648, 3436, 1037, 2047, 3834, 2095, 999, 3531, 2156, 1996, 8001, 2991, 11909, 2015, 2693, 1011, 1999, 2154, 6134, 1012, 2005, 2047, 4513, 1024, 1996, 2707, 1997, 1996, 2047, 4513, 10296, 2006, 6928, 1010, 2257, 2756, 1010, 2038, 2042, 2904, 2013, 1023, 1037, 1012, 1049, 1012, 2000, 2340, 1037, 1012, 1049, 1012, 3531, 3113, 2012, 2340, 1037, 1012, 1049, 1012, 1999, 1996, 2128, 14227, 3075, 1010, 3822, 2723, 1997, 3044, 2534, 1012, 10651, 2005, 4192, 2493, 1024, 2115, 3808, 2006, 3721, 2003, 2256, 2034, 1998, 16097, 5142, 1012, 2044, 10552, 1996, 4670, 1521, 1055, 2436, 1010, 5039, 2166, 1998, 3847, 1010, 2270, 3808, 1010, 2256, 2219, 3558, 3269, 1998, 4128, 3095, 1010, 2004, 2092, 2110, 1998, 2976, 5057, 4810, 2791, 3095, 1010, 1996, 9128, 2001, 2081, 2011, 1996, 2343, 1521, 1055, 2436, 2000, 8536, 1996, 2709, 1997, 3356, 1011, 2465, 2493, 1012, 2057, 2079, 2025, 2113, 1996, 4053, 2000, 3721, 2030, 1996, 2181, 2008, 2023, 4040, 2097, 3288, 1012, 2005, 2115, 3808, 1998, 2005, 3071, 2842, 2006, 3721, 1010, 3403, 2127, 2044, 1996, 4040, 5235, 2006, 9857, 2000, 2693, 2067, 2000, 3721, 2003, 1996, 2190, 5724, 2005, 2017, 1998, 1996, 2972, 2267, 2451, 1012, 2057, 3305, 2008, 2045, 2089, 2022, 2070, 4297, 2239, 8159, 13684, 2015, 1998, 24501, 7690, 18639, 2290, 2006, 2115, 2112, 1012, 2115, 12655, 1998, 2465, 4670, 2097, 2191, 2035, 6413, 26167, 2065, 2115, 2709, 2000, 3721, 2003, 8394, 3458, 1996, 2034, 2420, 1997, 4280, 1012, 3531, 3613, 2000, 8080, 14409, 2006, 1996, 4151, 2892, 4037, 1998, 2115, 2267, 10373, 2005, 2739, 1998, 6134, 3431, 2349, 2000, 4633, 1012, 4151, 2892, 2270, 3808, 1998, 3831, 2578, 2024, 2747, 8822, 4633, 19939, 2015, 3141, 2000, 7064, 12855, 1012, 2096, 2009, 2003, 2145, 2220, 2000, 16014, 4633, 3785, 2005, 4465, 1998, 6928, 1010, 2035, 2372, 1997, 1996, 3721, 2451, 2323, 2022, 5204, 2008, 1996, 2120, 4633, 2326, 2038, 5393, 1037, 3891, 2005, 3809, 4254, 2000, 1996, 4794, 2163, 1010, 2927, 2006, 4465, 1012, 2023, 2609, 2038, 2042, 2511, 2000, 10651, 2035, 2372, 1997, 1996, 2267, 2451, 2004, 2592, 4150, 2800, 1012, 3531, 3613, 2000, 8080, 2023, 2609, 2005, 2590, 3721, 14409, 1012, 2034, 1011, 2095, 2493, 1024, 2693, 1011, 1999, 2154, 1998, 10296, 3454, 2005, 2034, 1011, 2095, 2493, 2097, 10838, 2004, 3740, 1010, 2927, 5095, 1010, 2257, 2676, 1012, 2372, 1997, 1996, 2465, 1997, 2325, 2064, 7180, 2006, 3721, 2004, 2220, 2004, 1022, 1037, 1012, 1049, 1012, 2006, 5095, 1012, 10296, 20283, 2089, 2689, 1012, 3531, 8080, 2023, 2609, 1998, 2115, 4151, 2892, 10373, 2005, 14409, 1012, 4192, 2493, 1024, 2138, 1997, 1996, 10173, 2607, 1997, 1996, 4040, 1010, 4192, 2493, 2323, 13621, 2000, 2693, 2067, 2000, 3721, 2044, 1996, 4040, 5235, 1010, 2029, 2003, 3517, 2000, 2022, 9857, 1010, 2257, 2382, 1012, 2053, 4192, 2493, 2097, 2022, 2583, 2000, 2693, 1999, 2006, 5095, 1012, 23875, 2005, 2117, 1011, 2095, 2493, 2747, 5115, 2006, 9857, 2097, 2022, 24501, 7690, 18696, 1012, 2065, 2151, 3076, 1521, 1055, 2709, 2000, 3721, 2003, 8394, 2011, 1996, 5729, 4633, 1010, 2465, 4670, 2015, 2097, 2191, 6413, 26167, 1012, 4151, 2892, 5373, 25453, 2493, 2000, 3288, 15257, 1998, 10274, 1517, 2023, 17945, 4040, 2003, 2028, 1997, 1996, 4436, 2339, 1012, 2057, 8627, 2017, 2000, 2079, 2061, 1012, 2035, 2372, 1997, 1996, 2267, 2451, 1024, 2994, 6727, 2055, 1996, 4633, 19939, 2015, 1998, 2202, 2035, 29361, 2005, 3808, 1010, 2119, 2006, 3721, 1998, 1999, 2115, 5014, 1517, 2926, 2007, 1996, 3891, 1997, 2373, 2041, 13923, 1010, 2152, 7266, 1010, 1998, 9451, 1012, 2323, 4633, 3785, 5478, 1037, 16990, 1997, 2151, 2724, 1999, 1996, 2746, 2420, 1010, 14409, 2097, 2022, 6866, 2006, 2023, 2609, 1012, 3531, 2036, 3477, 3086, 2000, 2115, 4151, 2892, 10373, 2005, 2590, 14409, 2076, 2023, 2051, 1012, 1999, 2804, 2000, 14409, 2006, 2023, 2609, 1010, 2017, 2064, 3582, 1001, 16731, 24572, 14735, 2638, 2006, 10474, 2005, 14409, 2013, 1996, 2436, 1997, 2270, 3821, 1012, 3531, 3613, 2000, 8080, 2023, 2609, 2005, 2582, 14409, 1012, 4151, 2892, 2934, 7126, 17183, 27268, 8757, 2129, 2637, 5328, 19960, 17872, 2336, 3534, 3115, 1064, 1996, 2733, 1996, 3534, 3115, 3856, 1996, 4167, 1997, 19027, 4557, 1010, 3353, 2934, 1997, 11507, 2012, 1996, 2267, 1997, 1996, 4151, 2892, 1010, 2000, 10661, 1011, 13950, 1996, 2126, 2637, 19821, 1012, 1012, 1012, 5718, 1013, 2340, 1013, 2385, 4151, 2892, 2632, 2819, 2532, 2437, 19377, 2005, 2014, 2954, 2114, 9098, 10822, 1064, 20643, 999, 5446, 1064, 3017, 2671, 8080, 1064, 4319, 3573, 2739, 2005, 20495, 4922, 15033, 1521, 6564, 1010, 1523, 1996, 2591, 5368, 2112, 1997, 5971, 4105, 2318, 2004, 1037, 2217, 3105, 1998, 20593, 2098, 2046, 2019, 2972, 2476, 1010, 1524, 2429, 2000, 1037, 3522, 1012, 1012, 1012, 5718, 1013, 5511, 1013, 2385, 4151, 2892, 6938, 2053, 1012, 2423, 2426, 4314, 2840, 6667, 2006, 10822, 1521, 2862, 1997, 2637, 1521, 1055, 2327, 6667, 2267, 8267, 2019, 1520, 1037, 1009, 1521, 2005, 10807, 2614, 2791, 1996, 2267, 1997, 1996, 4151, 2892, 4396, 2053, 1012, 2423, 2426, 4314, 2840, 6667, 1010, 2053, 1012, 4413, 2426, 2797, 6667, 1998, 2053, 1012, 4868, 3452, 1999, 1037, 2177, 1997, 2062, 2084, 13757, 2270, 1998, 2797, 1012, 1012, 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, 1, 1, 1, 1, 1, 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 ]
[ 101, 3566, 2015, 1010, 3611, 2015, 1998, 23614, 7066, 3305, 2129, 3697, 2009, 2003, 2000, 5676, 2037, 2336, 2131, 1996, 20435, 2027, 2342, 1516, 2926, 2035, 1011, 2590, 3424, 11636, 8524, 7666, 1012, 2008, 1521, 1055, 2339, 6064, 17861, 2003, 7098, 2000, 3749, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1010, 3819, 2005, 5094, 2336, 2131, 1996, 3424, 11636, 8524, 3372, 2373, 1997, 1052, 2100, 2278, 3630, 6914, 4747, 1079, 1526, 1999, 1037, 2047, 1010, 12090, 21271, 3085, 1012, 1008, 2122, 3424, 11636, 8524, 3372, 21271, 2015, 2024, 2081, 2007, 1052, 2100, 2278, 3630, 6914, 4747, 1516, 1996, 2168, 6612, 2135, 1011, 3273, 21774, 2179, 1999, 2035, 1997, 2256, 6728, 2278, 1011, 1017, 3688, 1010, 2164, 2256, 2759, 2336, 1521, 1055, 12448, 1010, 6064, 17861, 11163, 2669, 7646, 6728, 2278, 1011, 1017, 1079, 1010, 2256, 11163, 2669, 7646, 6728, 2278, 1011, 1017, 1079, 1998, 11163, 2669, 7646, 6728, 2278, 1011, 1017, 5053, 12586, 25654, 2005, 6001, 1012, 2023, 3928, 3424, 11636, 8524, 3372, 2038, 2042, 3491, 2000, 2490, 2115, 2336, 1521, 1055, 2740, 1999, 3365, 3971, 1010, 2164, 4637, 2115, 2775, 1521, 1055, 2540, 2740, 1012, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 3073, 1037, 2844, 3424, 11636, 8524, 3372, 3639, 2005, 2296, 3526, 1999, 2115, 2775, 1521, 1055, 2303, 1010, 8020, 2000, 1996, 6032, 1997, 4167, 2740, 1998, 9141, 1012, 1008, 2007, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1010, 3008, 1998, 23614, 7066, 2064, 2514, 9657, 2027, 2024, 2025, 2069, 3228, 2068, 1037, 17490, 14778, 6313, 1998, 12090, 21271, 3085, 1010, 2021, 2028, 2008, 2003, 2204, 2005, 2068, 2004, 2092, 1012, 1008, 2138, 2296, 2775, 2003, 1037, 9727, 1012, 1008, 2122, 8635, 2031, 2025, 2042, 16330, 2011, 1996, 2833, 1998, 4319, 3447, 1012, 2023, 4031, 1006, 1055, 1007, 2003, 2025, 3832, 2000, 22939, 26745, 3366, 1010, 7438, 1010, 9526, 2030, 4652, 2151, 4295, 1012, 1011, 3640, 2844, 3424, 11636, 8524, 3372, 3639, 1011, 3928, 2489, 1011, 7490, 8040, 10696, 11392, 1011, 7126, 5441, 4167, 2740, 1011, 6753, 1996, 2537, 1997, 11265, 10976, 6494, 3619, 22930, 7747, 1011, 7126, 5441, 7965, 9141, 2011, 16003, 6178, 9386, 5134, 1010, 28915, 1998, 9607, 1011, 6753, 7965, 2668, 6258, 29454, 3370, 1011, 14067, 7965, 9152, 12412, 15772, 3798, 1052, 2100, 2278, 3630, 6914, 4747, 1079, 1526, 1052, 2100, 2278, 3630, 6914, 4747, 2003, 1037, 3269, 14817, 2013, 1996, 11286, 1997, 1996, 7803, 7222, 3392, 1010, 2029, 7502, 7580, 2247, 1996, 3023, 1997, 4943, 2605, 1999, 4649, 2455, 2229, 2139, 3806, 3597, 10177, 1012, 2023, 4895, 13102, 10448, 3709, 1010, 3019, 4044, 2003, 1996, 4310, 3120, 1997, 2023, 7222, 11286, 1012, 1052, 2100, 2278, 3630, 6914, 4747, 2003, 2028, 1997, 1996, 2087, 18800, 12760, 1999, 1996, 3019, 4031, 18086, 1012, 2405, 9556, 2031, 7645, 1052, 2100, 2278, 3630, 6914, 4747, 1005, 1055, 2898, 9140, 1997, 15189, 3896, 2006, 1996, 2303, 1010, 4919, 1999, 1996, 8391, 1997, 3424, 11636, 8524, 3372, 2740, 1012, 7222, 11286, 14817, 2003, 1037, 5257, 1997, 4013, 4630, 6806, 5666, 7088, 8718, 2015, 1010, 16012, 10258, 11431, 17175, 9821, 1998, 7554, 12737, 1012, 1996, 14817, 2038, 2093, 3937, 5144, 1024, 2009, 2003, 1037, 3928, 3424, 11636, 8524, 3372, 1025, 13228, 2135, 20817, 2000, 8902, 20679, 2078, 1998, 3449, 14083, 2378, 1025, 1998, 14067, 3671, 2537, 1997, 2203, 14573, 24587, 9152, 12412, 15772, 1010, 2029, 14067, 3671, 29454, 3370, 1997, 2668, 6470, 1012, 1008, 1052, 2100, 2278, 3630, 6914, 4747, 2003, 15189, 2000, 2336, 2138, 2009, 8699, 10057, 2116, 2489, 23618, 2077, 2027, 3426, 23060, 8524, 6024, 6911, 1012, 2049, 3424, 11636, 8524, 3372, 9859, 2393, 2490, 7965, 2668, 5127, 7485, 4023, 1998, 5326, 22935, 2740, 1012, 1008, 14722, 6534, 14817, 14722, 6534, 14817, 2003, 4050, 15901, 2013, 1996, 8079, 1997, 2417, 16575, 1006, 2612, 1997, 2317, 1007, 1010, 2029, 2031, 1037, 2152, 4180, 1997, 10099, 2124, 2004, 19330, 14031, 25531, 4013, 4630, 6806, 5666, 7088, 8718, 2015, 1006, 6728, 6169, 1007, 1012, 14722, 6534, 14817, 3397, 26572, 8458, 16515, 4877, 1010, 10099, 2007, 2152, 3424, 11636, 8524, 3372, 4023, 1012, 2336, 2052, 5770, 2013, 14722, 6534, 14817, 1010, 2138, 2009, 7126, 2000, 5547, 1996, 6911, 1997, 2489, 23618, 1998, 18478, 23060, 8524, 6024, 6911, 3303, 2011, 4483, 29090, 2015, 1012, 1008, 12170, 20850, 19826, 14817, 2003, 5173, 2013, 1996, 3727, 1998, 10498, 1011, 2066, 5909, 1997, 1037, 2691, 2647, 15751, 4876, 3141, 2000, 1996, 2630, 9766, 1012, 27059, 1997, 1996, 22503, 10498, 5383, 13109, 11431, 17175, 3593, 28815, 2015, 2124, 2004, 14405, 6806, 5666, 7088, 3619, 1010, 2029, 2024, 3928, 3424, 11636, 8524, 7666, 1012, 4045, 2913, 12210, 2008, 12170, 20850, 19826, 14817, 6753, 7965, 4432, 1998, 2310, 18674, 9141, 1012, 12170, 20850, 19826, 14817, 7126, 5441, 7965, 9141, 2011, 16003, 6178, 9386, 5134, 1010, 28915, 1010, 1998, 9607, 1012, 2336, 2089, 5770, 2013, 12170, 20850, 19826, 14817, 2138, 1997, 2049, 3754, 2000, 2490, 7965, 4432, 1998, 2310, 18674, 9141, 1010, 2004, 2092, 2004, 5094, 2000, 5441, 4167, 2740, 1012, 1008, 20418, 16012, 10258, 11431, 17175, 9821, 14817, 16012, 10258, 11431, 17175, 9821, 2024, 3424, 11636, 8524, 7666, 2179, 1999, 3056, 4264, 2008, 2552, 2004, 2422, 17736, 1010, 2029, 4047, 1996, 3269, 1005, 1055, 6064, 1998, 2060, 2590, 26632, 5302, 2571, 21225, 2015, 2011, 20998, 26299, 8249, 1012, 2027, 2031, 2042, 2179, 2000, 5326, 22935, 2740, 1998, 2393, 5441, 7965, 9141, 2011, 16003, 6178, 9386, 5134, 1010, 28915, 1998, 9607, 1012, 1996, 3754, 2005, 20418, 16012, 10258, 28471, 9821, 2000, 5441, 7965, 9141, 2011, 16003, 6178, 9386, 5134, 1010, 28915, 1010, 1998, 9607, 2003, 2036, 15189, 2005, 5094, 5441, 4167, 2740, 1998, 6753, 1996, 2537, 1997, 11265, 10976, 6494, 3619, 22930, 7747, 1999, 2336, 1012, 1008, 2054, 2024, 6728, 6169, 1029, 1996, 5675, 2005, 6064, 17861, 30108, 6728, 2278, 1011, 1017, 1079, 21271, 2015, 2950, 2070, 1997, 1996, 2087, 3928, 16012, 10258, 11431, 17175, 9821, 1516, 6897, 2135, 1011, 3161, 2372, 1997, 3269, 1011, 5173, 10099, 1516, 2747, 2124, 2000, 2470, 6529, 1012, 2122, 16012, 10258, 11431, 17175, 9821, 2024, 4045, 3973, 12061, 19330, 14031, 25531, 4013, 4630, 6806, 5666, 7088, 8718, 2015, 1010, 4141, 12066, 6728, 6169, 1012, 1996, 5760, 3367, 1998, 2190, 1011, 18800, 6728, 6169, 2421, 14722, 6534, 1010, 2417, 4511, 1010, 14722, 3096, 1010, 12170, 20850, 2121, 5134, 1010, 20418, 5909, 1010, 1998, 7222, 11286, 14817, 1010, 2030, 1052, 2100, 2278, 3630, 6914, 4747, 1079, 1526, 1012, 1008, 2024, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 3647, 1029, 2748, 1012, 6728, 6169, 2024, 2426, 1996, 2087, 7070, 24355, 1997, 1037, 7965, 2529, 8738, 1012, 6728, 6169, 2031, 2042, 18800, 1998, 2109, 2005, 2058, 2382, 2086, 2802, 2885, 1012, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 2024, 2489, 1997, 17631, 12141, 1010, 3653, 8043, 20203, 6961, 1998, 6544, 1012, 1008, 2024, 2045, 2151, 2035, 2121, 21230, 1999, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1029, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 2003, 1037, 23566, 4031, 1998, 3397, 2053, 10500, 1010, 21957, 1010, 1043, 7630, 6528, 1010, 7976, 26389, 1010, 2732, 2818, 1010, 5474, 1010, 3653, 8043, 20203, 6961, 2030, 6501, 1012, 2054, 2003, 1996, 3529, 2946, 2005, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1029, 16678, 2028, 1006, 1015, 1007, 21271, 3679, 2030, 2004, 2856, 2011, 2115, 9871, 10802, 1012, 2064, 2026, 2336, 2202, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1999, 2804, 2000, 2060, 6064, 17861, 3688, 1029, 2019, 26285, 1997, 6064, 17861, 3688, 1516, 6064, 17861, 21271, 3085, 4013, 26591, 2015, 1010, 6064, 17861, 6827, 14827, 1017, 1010, 6064, 17861, 11163, 2669, 7646, 17886, 3512, 16285, 1010, 1998, 6064, 17861, 11163, 2669, 7646, 4800, 28403, 10020, 2030, 6064, 17861, 11163, 2669, 7646, 4800, 28403, 10020, 4606, 1516, 2064, 2022, 2579, 1999, 2804, 2000, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1012, 2064, 6001, 2202, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 1029, 2748, 999, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 2015, 2024, 2307, 2005, 2119, 2336, 1998, 6001, 1012, 1037, 2309, 6064, 17861, 6728, 2278, 1011, 1017, 21271, 3397, 2423, 20372, 1997, 1052, 2100, 2278, 3630, 6914, 4747, 1079, 1526, 1516, 1996, 2168, 3815, 2179, 1999, 1037, 2309, 3529, 1997, 2256, 11163, 2669, 7646, 6728, 2278, 1011, 1017, 1079, 4031, 1012, 1011, 5922, 1046, 1012, 12654, 1997, 20906, 13441, 2005, 19465, 1012, 19465, 2470, 2820, 4772, 1012, 2871, 1006, 2258, 1007, 1010, 2289, 1012, 1011, 9658, 1043, 3802, 2632, 1012, 17663, 1041, 1024, 3424, 11636, 8524, 3372, 4023, 1010, 16012, 4939, 16530, 2015, 1010, 1998, 16012, 12462, 11733, 8553, 1012, 3296, 3319, 14266, 1012, 2184, 1024, 26231, 1011, 4229, 2475, 1010, 2826, 1012, 1011, 16480, 6212, 7103, 1062, 3802, 2632, 1012, 3466, 1997, 26572, 8458, 16515, 10415, 14817, 1010, 1052, 2100, 2278, 3630, 6914, 4747, 1010, 2006, 1996, 2504, 1997, 1022, 1011, 23060, 8649, 13860, 3170, 1999, 2336, 6114, 2013, 3086, 15074, 1013, 23760, 18908, 7730, 8761, 1012, 2489, 7490, 2470, 1012, 2871, 1006, 1023, 1007, 1024, 2531, 2509, 1011, 2184, 1010, 2294, 1012, 1011, 16475, 5400, 3501, 1055, 3802, 2632, 1012, 12448, 3370, 2007, 1037, 7222, 11286, 14817, 4138, 1999, 26572, 8458, 16515, 4877, 7457, 12123, 3424, 11636, 8524, 3372, 3977, 1998, 11477, 2015, 1996, 12123, 5423, 7361, 21709, 12377, 6337, 1012, 5423, 9821, 4261, 1024, 6109, 2487, 1011, 1018, 1010, 2526, 1012, 1011, 29454, 20755, 5339, 2080, 1041, 3802, 2632, 1012, 4800, 9006, 19362, 21181, 2389, 3595, 3258, 1997, 2004, 27108, 20179, 1998, 2049, 7037, 2535, 1999, 2079, 4502, 11233, 1038, 1011, 18479, 18037, 13490, 1012, 2137, 3485, 1997, 6612, 14266, 1012, 5139, 1006, 1020, 12448, 1007, 1024, 12904, 2509, 2015, 1011, 5824, 2015, 1010, 2889, 1012, 1011, 2079, 4877, 3489, 1049, 1012, 3802, 2632, 1012, 1037, 8824, 3979, 1997, 2004, 27108, 13592, 5648, 2004, 27024, 7242, 2005, 19465, 1012, 5082, 1999, 11265, 10976, 18075, 9905, 1011, 6887, 27292, 22684, 6483, 1998, 6897, 18420, 1012, 2459, 1006, 1016, 1007, 1024, 6146, 2629, 1011, 6255, 2549, 1010, 2857, 1012, 1011, 1040, 14550, 20411, 3567, 1049, 3802, 2632, 1012, 1996, 3466, 1997, 26572, 8458, 16515, 10415, 14817, 2013, 7222, 11286, 1010, 1052, 2100, 2278, 3630, 6914, 4747, 2006, 1996, 2504, 1997, 1043, 7630, 29336, 4048, 5643, 1999, 2336, 6114, 2013, 3086, 15074, 23760, 18908, 7730, 8761, 1006, 4748, 14945, 1007, 1012, 2417, 11636, 3189, 1012, 2340, 1006, 1018, 1007, 1024, 17867, 1011, 5824, 1010, 2294, 1012, 1011, 2986, 1037, 1012, 19330, 14031, 25531, 4013, 4630, 6806, 5666, 7088, 8718, 15420, 1024, 2381, 1010, 3252, 1010, 1998, 6887, 22123, 7361, 8167, 22911, 13765, 14656, 5097, 1012, 4522, 4200, 3319, 1019, 1024, 14748, 1011, 4868, 1010, 2456, 1012, 3319, 1012, 1011, 26249, 1010, 1040, 1012, 1010, 3802, 2632, 1012, 2203, 14573, 20806, 2819, 1011, 7790, 21449, 3896, 1997, 1052, 2100, 2278, 3630, 6914, 4747, 1012, 3485, 1997, 22935, 6887, 27292, 22684, 6483, 3590, 1024, 2753, 2683, 1011, 4868, 2629, 1010, 2687, 1012, 1011, 10650, 2386, 1010, 1046, 1012, 1010, 3802, 2632, 1012, 7276, 13109, 11431, 17175, 9821, 1998, 2878, 10869, 2013, 6379, 16575, 26402, 5127, 7485, 3853, 1998, 11598, 9152, 12412, 15772, 2713, 1012, 9141, 9800, 1024, 25745, 2475, 1011, 1022, 1010, 2541, 1012, 1011, 10424, 7416, 1038, 3802, 2632, 1012, 2004, 27108, 20179, 2003, 2019, 5151, 3424, 11636, 8524, 3372, 1999, 2529, 2668, 12123, 1012, 8931, 1997, 1996, 2120, 2914, 1997, 4163, 3915, 1012, 6564, 1006, 2385, 1007, 1024, 6191, 2581, 2581, 1011, 6191, 2620, 2487, 1010, 2960, 1012, 1011, 19739, 20051, 2072, 1010, 1051, 1012, 1052, 2100, 2278, 3630, 6914, 4747, 29656, 1999, 2310, 18674, 10840, 1024, 1037, 3319, 1012, 2647, 13146, 1997, 4319, 2470, 1021, 1024, 1015, 1011, 2410, 1010, 2639, 1012, 1011, 22720, 1053, 3802, 2632, 1012, 10496, 6714, 17011, 2817, 1997, 2489, 23618, 2719, 2013, 1037, 4013, 5666, 7088, 8718, 1011, 4138, 7222, 1006, 9231, 2271, 16266, 3775, 2863, 1007, 11286, 14817, 1010, 1052, 2100, 2278, 3630, 6914, 4747, 29656, 1012, 2489, 7490, 7366, 4200, 1012, 1021, 1006, 2340, 1011, 2260, 1007, 1024, 7558, 2620, 1011, 14677, 2475, 1010, 2639, 1012, 1011, 21863, 5582, 1055, 3802, 2632, 1012, 1043, 7630, 29336, 4048, 5643, 2668, 3798, 1998, 2060, 23060, 8524, 3372, 3639, 5950, 2229, 1999, 2273, 7349, 8738, 2015, 2659, 1999, 17663, 1039, 1012, 3485, 1997, 14266, 1012, 12606, 1024, 18582, 1011, 12862, 1010, 2889, 1012, 1011, 2508, 1055, 3802, 2632, 1012, 21453, 16012, 10665, 2545, 1997, 3445, 23060, 8524, 6024, 6911, 1998, 18234, 25003, 3370, 3977, 1999, 2336, 2007, 19465, 1012, 2137, 3485, 1997, 6612, 14266, 1012, 3770, 1006, 1020, 1007, 1024, 28769, 1011, 1021, 1010, 2432 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1064, 6263, 2994, 1064, 1064, 1016, 1011, 1017, 6385, 1064, 2590, 1024, 2023, 2003, 1037, 2793, 1004, 6350, 1006, 2025, 2019, 10439, 8445, 3672, 1007, 2057, 3749, 4734, 2000, 1037, 4098, 1012, 1997, 2184, 6001, 1004, 1015, 2775, 1006, 1018, 2086, 1007, 2023, 4037, 2069, 18422, 1996, 3976, 2005, 1016, 5381, 999, 1012, 2005, 7046, 2967, 1024, 3531, 11562, 1996, 1084, 20370, 29658, 1011, 21628, 2682, 1998, 4638, 1996, 1084, 20564, 29658, 2006, 2008, 3931, 1012, 1999, 2268, 2057, 2949, 1037, 2350, 2878, 2095, 10525, 1997, 2256, 19817, 18727, 19301, 2188, 1012, 2057, 2921, 1996, 3151, 7224, 2096, 4526, 6625, 1010, 3647, 1038, 1004, 1038, 4734, 2007, 2047, 4372, 28880, 2063, 28942, 1998, 2057, 3749, 2068, 2000, 2017, 2164, 1037, 3835, 3803, 6350, 1012, 2057, 2219, 1037, 3151, 3975, 1011, 2504, 2311, 2021, 2045, 2003, 2053, 2342, 2000, 7105, 1037, 2843, 1997, 5108, 2138, 2035, 2256, 4734, 2024, 2006, 1996, 2598, 2504, 2030, 2034, 2723, 1012, 2296, 2282, 2038, 1037, 2047, 1010, 2797, 1998, 4372, 1011, 7621, 5723, 1010, 2204, 23442, 1010, 10808, 1998, 7167, 1997, 2422, 1006, 1998, 2411, 3871, 8584, 1007, 1012, 2035, 4734, 2036, 2031, 1037, 7759, 1011, 2795, 2005, 1016, 2030, 1018, 2361, 1010, 2797, 4157, 1004, 5572, 4128, 1998, 2489, 3229, 2000, 2256, 15536, 8873, 1011, 2897, 1006, 2021, 2079, 3288, 2115, 2219, 8051, 1007, 1012, 2057, 3749, 1037, 3803, 6350, 2007, 2334, 7852, 2015, 1010, 8808, 2015, 1010, 24165, 2015, 1006, 3147, 7659, 1007, 1010, 9389, 2015, 1010, 4589, 1011, 10869, 4385, 1012, 2096, 3529, 6350, 1045, 2467, 2031, 7564, 1997, 2051, 2000, 3437, 2115, 3980, 2030, 1010, 2006, 5227, 1010, 6592, 2477, 2000, 2079, 2030, 3182, 2000, 4521, 1012, 2036, 2006, 2151, 2060, 3178, 1997, 1996, 2154, 2017, 2024, 6160, 2000, 3967, 2149, 1012, 2256, 1038, 1004, 1038, 4734, 2024, 2006, 1996, 2896, 3798, 1997, 2256, 2155, 1011, 2188, 2061, 2036, 2019, 2220, 2030, 2200, 2397, 5508, 2030, 6712, 2003, 2196, 1037, 3291, 1012, 2256, 2155, 3774, 1997, 2026, 3129, 2703, 1010, 2256, 1016, 2402, 4268, 1998, 2033, 5904, 1012, 2057, 2448, 1996, 1038, 1004, 1038, 4498, 2302, 2648, 2393, 2061, 2017, 2467, 2113, 3183, 2000, 4769, 1998, 2057, 2113, 2005, 2469, 2008, 2673, 2003, 2004, 4550, 1998, 3143, 2004, 2017, 2089, 5987, 2009, 2000, 2022, 1012, 2057, 3046, 2000, 3749, 1037, 2204, 5703, 2090, 9394, 1010, 3086, 1998, 2393, 1012, 2057, 2079, 3713, 2195, 4155, 1006, 2394, 1010, 2413, 1010, 2446, 1010, 3803, 1998, 1037, 2210, 3009, 1004, 5077, 1007, 1998, 2113, 2256, 2103, 2092, 1012, 2057, 2024, 2559, 2830, 2000, 3745, 2008, 3716, 2007, 2017, 1012, 2590, 1024, 1996, 3976, 3491, 2006, 1996, 2157, 2003, 2005, 2028, 2282, 2005, 1016, 5381, 2069, 1012, 2017, 2064, 2424, 1996, 7597, 2005, 2062, 2084, 1016, 5381, 2011, 22042, 1996, 1084, 20370, 29658, 1011, 21628, 2682, 1998, 4638, 1996, 1084, 20564, 29658, 2006, 2008, 3931, 1012, 3145, 22104, 1024, 4734, 1010, 1038, 1004, 1038, 1010, 2316, 2497, 2065, 2017, 2024, 4699, 1999, 2256, 1038, 1004, 1038, 3531, 3191, 1996, 4391, 2006, 20014, 8189, 3508, 2389, 5530, 1006, 2017, 2064, 4089, 3362, 2068, 2083, 2256, 2219, 4037, 1012, 1007, 1038, 1004, 1038, 8183, 13639, 2319, 2003, 3819, 1999, 2296, 2126, 999, 2057, 2985, 1019, 6385, 1998, 3866, 2296, 3371, 1012, 1996, 4734, 2024, 3819, 1012, 2057, 2018, 2119, 4734, 2006, 1996, 2034, 2723, 1012, 1996, 2282, 2007, 1996, 25277, 9705, 2001, 3819, 2005, 2256, 2048, 13628, 1998, 2149, 2000, 3745, 999, 1996, 6350, 2015, 2020, 12090, 1998, 5359, 2000, 2256, 2282, 1012, 2296, 2154, 1010, 2027, 2020, 3621, 2367, 1998, 2467, 2062, 2084, 2438, 2000, 6039, 2017, 2039, 2005, 1037, 5697, 2154, 1997, 4356, 3773, 1012, 5904, 1005, 1055, 7538, 2592, 2001, 1999, 10175, 6692, 3468, 999, 10126, 1010, 2043, 6959, 2075, 2256, 6350, 1010, 11834, 10994, 2618, 2052, 1999, 15549, 2890, 2055, 2256, 3488, 2005, 1996, 2154, 1012, 2016, 2435, 2149, 15690, 1997, 3182, 2000, 2156, 1998, 1996, 2190, 2126, 2000, 2131, 2000, 1996, 4356, 1012, 2017, 2064, 2025, 2175, 3308, 6595, 2012, 1038, 1004, 1038, 8183, 13639, 2319, 999, 2026, 6898, 1998, 1045, 2020, 2006, 1037, 2733, 10052, 10885, 1999, 7598, 1998, 4370, 2012, 1996, 1038, 1004, 1038, 8183, 13639, 2319, 1012, 5904, 2404, 2149, 1999, 1996, 2598, 2723, 3871, 2282, 1517, 2065, 2017, 1005, 2128, 6595, 2005, 2062, 2084, 1037, 2261, 2420, 1010, 2338, 1996, 3871, 2282, 999, 2009, 1005, 1055, 11559, 1010, 2038, 1037, 2795, 1998, 8397, 2005, 5983, 2648, 1010, 4152, 2422, 2035, 2154, 2146, 1010, 1998, 2003, 18686, 1998, 3376, 1012, 2296, 2851, 5904, 2716, 2149, 1037, 12090, 3803, 6350, 1010, 2029, 5031, 1997, 1037, 13618, 12183, 1997, 15920, 6240, 2015, 1010, 8808, 2015, 1010, 10930, 27390, 2102, 2030, 1037, 2524, 17020, 8288, 1010, 4840, 7757, 4589, 10869, 1010, 1998, 1037, 4989, 1997, 7852, 2015, 1012, 2057, 2196, 2018, 6350, 5973, 2842, 1010, 1996, 2833, 2001, 2061, 2204, 1012, 2057, 2018, 1037, 2413, 2811, 2005, 4157, 1998, 1037, 5572, 22421, 2005, 5572, 2008, 4370, 1999, 1996, 2282, 2802, 2256, 4440, 1517, 2204, 2005, 2033, 2138, 1045, 2066, 5572, 2035, 2154, 2146, 999, 5904, 2001, 3458, 14044, 1517, 2017, 2481, 1005, 1056, 3198, 2005, 2062, 1012, 2016, 2435, 2149, 1037, 2146, 2862, 1997, 12090, 2334, 7884, 1010, 2059, 4197, 2068, 2041, 2006, 1037, 4949, 2061, 2057, 2071, 2424, 2256, 2126, 1012, 2057, 2020, 3039, 2224, 1997, 1996, 7598, 18558, 2808, 2016, 2921, 2006, 2192, 1010, 1998, 2138, 2057, 2020, 3829, 5516, 1010, 2016, 2130, 3039, 2149, 2000, 2562, 2070, 2187, 24302, 1999, 1996, 16716, 1012, 2023, 2003, 1037, 2173, 2000, 2994, 2043, 2017, 2215, 2000, 2514, 2012, 2188, 999, 2087, 14780, 1010, 2012, 2560, 2005, 2033, 1010, 2001, 2129, 14044, 5904, 2001, 2035, 2105, 1012, 1045, 2031, 1037, 3291, 2007, 2026, 2187, 17266, 26692, 6632, 2278, 4101, 1010, 2029, 4212, 2041, 1997, 2173, 1010, 4786, 2028, 2217, 1997, 2026, 2303, 2000, 2022, 3020, 2084, 1996, 2060, 1010, 1998, 4525, 1999, 5377, 3255, 1012, 6854, 1010, 2044, 1017, 2420, 1997, 3788, 1999, 1996, 3308, 6007, 1010, 1045, 4711, 2041, 1996, 4101, 4788, 2084, 1045, 2031, 2412, 2589, 2077, 1012, 2057, 2409, 5904, 1010, 1998, 2016, 3202, 2170, 2014, 6410, 19294, 1006, 9610, 18981, 22648, 4263, 1010, 2005, 1996, 4841, 1007, 1010, 2040, 2001, 6854, 2185, 2006, 10885, 1012, 1996, 2436, 4081, 6016, 2033, 2000, 2070, 20229, 3852, 2966, 2493, 1010, 1998, 5904, 2056, 7078, 2025, 1517, 1045, 2734, 2619, 2007, 3325, 1012, 2306, 1037, 2154, 1045, 2018, 2019, 6098, 2007, 1996, 6410, 19294, 2040, 2573, 2006, 1996, 3803, 2120, 7250, 2194, 1012, 1045, 2001, 4964, 2306, 1037, 2154, 1010, 1998, 1045, 5621, 2903, 2018, 1045, 4370, 5973, 2842, 1010, 1045, 2052, 2031, 1010, 1045, 2052, 2031, 2593, 2042, 3403, 1999, 2019, 5057, 2282, 2005, 2019, 2972, 2154, 1010, 2030, 4265, 2083, 1996, 2717, 1997, 1996, 4440, 1999, 3255, 1517, 2196, 2568, 1996, 1022, 1011, 3178, 2933, 4536, 2067, 2188, 1012, 5904, 5552, 2026, 10885, 999, 2057, 1005, 2310, 2525, 2409, 5904, 2057, 2097, 2022, 2067, 2279, 2095, 1010, 1004, 2933, 2006, 2009, 1012, 1038, 1004, 1038, 8183, 13639, 2319, 5621, 2371, 2066, 2188, 1010, 1998, 10514, 26989, 3401, 2009, 2000, 2360, 1010, 2009, 2001, 2200, 3697, 2005, 2149, 2000, 2681, 1012, 1996, 9705, 2020, 11757, 6625, 1025, 1996, 2282, 2001, 4658, 1010, 4550, 1010, 1998, 2797, 1025, 1996, 5101, 2003, 1037, 2155, 5101, 2007, 7167, 1997, 4268, 1010, 3835, 14361, 7340, 1010, 6243, 3111, 1010, 7884, 1012, 1038, 1004, 1038, 8183, 13639, 2319, 2003, 1037, 9379, 7822, 2013, 1996, 15876, 22516, 1998, 13950, 2571, 1997, 15925, 4402, 2075, 1012, 3095, 2003, 8242, 1998, 14044, 1012, 6350, 2015, 1997, 2334, 8808, 2015, 1010, 6240, 1998, 7852, 2024, 12382, 1998, 2540, 2100, 2438, 2000, 2562, 2017, 2183, 2127, 3944, 1012, 4734, 2024, 15138, 2100, 1998, 2200, 15184, 1012, 3733, 3229, 2000, 2035, 2752, 1997, 7598, 2013, 2023, 3295, 1012, 2052, 2022, 3407, 2000, 2994, 2045, 2153, 1027, 1007, 2057, 2020, 1037, 2283, 1997, 1020, 1998, 2018, 1996, 5165, 1997, 5938, 1017, 16241, 2012, 1996, 1038, 1004, 1038, 8183, 13639, 2319, 1012, 1996, 4734, 2020, 2074, 2004, 2027, 2020, 1999, 1996, 3861, 1998, 2200, 4550, 1012, 1996, 23442, 2020, 12476, 2007, 7564, 1997, 2980, 2300, 1012, 3116, 5904, 2001, 1037, 7438, 1012, 2016, 2038, 2035, 1996, 2592, 2012, 2192, 2005, 2014, 6368, 1012, 2017, 2064, 3191, 2014, 2808, 2030, 24752, 2030, 3198, 2014, 2505, 2017, 2342, 2000, 2113, 1012, 2014, 2394, 2003, 3819, 1012, 2256, 6350, 2169, 2851, 2001, 3972, 2666, 25896, 2000, 2256, 2282, 2012, 3599, 1996, 2051, 2057, 7303, 1012, 1996, 2833, 2001, 4840, 1998, 2438, 2000, 13225, 2256, 9012, 1012, 1996, 2181, 2003, 2028, 1997, 1996, 2488, 3924, 1999, 7598, 1012, 2057, 2020, 2485, 2000, 2471, 2673, 1012, 1996, 2395, 2003, 3835, 1998, 3243, 1998, 2275, 2067, 1999, 2013, 1996, 2364, 2346, 2005, 1037, 2204, 2305, 2717, 1012, 2057, 2035, 3530, 2008, 2065, 1013, 2043, 2057, 2709, 1996, 1038, 1004, 1038, 2097, 2022, 2073, 2057, 2994, 1012, 2017, 5121, 2131, 1996, 3643, 2005, 2023, 2307, 3737, 3962, 2000, 5247, 2115, 2420, 1013, 16241, 1012, 4067, 2017, 5904, 2005, 2437, 2256, 2994, 1999, 7598, 1037, 3835, 3638, 2057, 2097, 2467, 8813, 1012, 4913, 1998, 2984, 1011, 10223, 2023, 2001, 1037, 2307, 1038, 1004, 1038, 2200, 13204, 5379, 1998, 2256, 22566, 2001, 6919, 2023, 1038, 1004, 1038, 2003, 2284, 1999, 1037, 4251, 2395, 1999, 1996, 8183, 13639, 2319, 2181, 1998, 2045, 2024, 2116, 2235, 23812, 1998, 6963, 2306, 1037, 1019, 3371, 3328, 2013, 1996, 4545, 1012, 1996, 3954, 1010, 5904, 1010, 2001, 2200, 2658, 2000, 3066, 2007, 2043, 19018, 1996, 21725, 1998, 2001, 14044, 2007, 15690, 2055, 3182, 2000, 4521, 1998, 3942, 1012, 1996, 4545, 2003, 3391, 14057, 2065, 5731, 2933, 2006, 5873, 1996, 4776, 3581, 2688, 1012, 1045, 3811, 16755, 21725, 1996, 2688, 3942, 2006, 1011, 2240, 2000, 4468, 1996, 2146, 24240, 2015, 1012, 1996, 8183, 13639, 2319, 2003, 1037, 9742, 8983, 1997, 2235, 1011, 4094, 4534, 1998, 17263, 11565, 2098, 2007, 5875, 7340, 1010, 11726, 1010, 11951, 1005, 7570, 2546, 6460, 2015, 1005, 1998, 15085, 2829, 23812, 1012, 21864, 15952, 1998, 2839, 3993, 1010, 2007, 2019, 10305, 1010, 3733, 1011, 2183, 7224, 1997, 2009, 1005, 1055, 2219, 1012, 2009, 2001, 2328, 2005, 3667, 2130, 2077, 1996, 1005, 24665, 6776, 6528, 20255, 9247, 1005, 1006, 5033, 1011, 7635, 1007, 2020, 2949, 1012, 1064, 3446, 2558, 1064, 1064, 22390, 1064, 1064, 5353, 2305, 1064, 1064, 4882, 1064, 1064, 7058, 1064, 1064, 2724, 1064, 9388, 2385, 2355, 1011, 13292, 2459, 2355, 1017, 2305, 6263, 2994, 13292, 2324, 2355, 1011, 9388, 2321, 2418, 1016, 2305, 6263, 2994, 1064, 3447, 7408, 1006, 1015, 2595, 1007, 1064, 1064, 1002, 2410, 1064, 1996, 7597, 2682, 2024, 2005, 1015, 3313, 2282, 2005, 1015, 2305, 1012, 2057, 2036, 2031, 1017, 2030, 1018, 2711, 4734, 1006, 1017, 2361, 1024, 12862, 1013, 13913, 7327, 2099, 1013, 1050, 1010, 1018, 2361, 1024, 3263, 1013, 15376, 7327, 2099, 1013, 1050, 1007, 1012, 2030, 1999, 2070, 3572, 2057, 2064, 3749, 2019, 4469, 4717, 6072, 1006, 2423, 7327, 2099, 1013, 1050, 1007, 1012, 2045, 2003, 2467, 2686, 2005, 1037, 3336, 26046, 1006, 1026, 1018, 2100, 1007, 2061, 3288, 2009, 2247, 2030, 3914, 2028, 1999, 5083, 1012, 1006, 4297, 2140, 1012, 8697, 1010, 3104, 1010, 10257, 1004, 1037, 3336, 2835, 1024, 2321, 7327, 2099, 1013, 1050, 1010, 4098, 1024, 2753, 7327, 2099, 1013, 1050, 1007, 2057, 2079, 2025, 3499, 9422, 1010, 18551, 2030, 5850, 1012, 2005, 7678, 2115, 11079, 2057, 5478, 1037, 12816, 1997, 2382, 1003, 1006, 2030, 2012, 2560, 1996, 5662, 1997, 1015, 2305, 1007, 2029, 2064, 2022, 3825, 3784, 2011, 4923, 11522, 2030, 7318, 4651, 1012, 1996, 6893, 2003, 2000, 2022, 3825, 1999, 5356, 2588, 5508, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 9927, 21850, 10483, 7361, 10536, 2006, 1996, 1001, 9587, 10085, 2005, 4923, 3795, 10452, 2914, 1001, 1043, 7011, 2089, 1022, 1010, 2325, 1999, 2460, 2027, 2119, 2318, 1996, 3795, 10452, 2914, 1010, 11383, 2118, 6495, 2007, 9587, 10085, 2015, 2006, 1037, 2350, 9587, 10085, 4132, 1012, 1998, 2348, 1996, 2088, 2003, 2145, 1037, 27565, 1997, 2367, 8384, 1010, 3254, 2021, 7543, 2045, 2003, 2023, 11765, 2000, 2693, 2875, 1037, 3795, 1520, 2190, 1521, 1010, 3649, 2008, 2453, 2812, 1012, 2005, 3795, 1516, 2009, 3849, 2000, 2033, 1516, 2003, 2109, 1999, 1037, 2200, 3006, 5533, 3193, 2043, 2009, 3310, 2000, 2495, 1012, 2489, 3784, 2338, 2006, 1001, 4684, 4083, 2470, 2254, 1023, 1010, 2297, 1996, 21660, 9260, 2136, 1997, 14467, 9698, 1998, 20704, 3995, 19966, 2891, 24529, 3981, 15710, 2031, 2207, 1037, 2489, 1010, 3784, 2338, 2006, 3795, 4684, 4083, 24977, 1998, 12878, 1999, 5792, 2007, 1996, 2330, 2118, 1997, 2859, 1012, 2017, 2064, 8816, 1996, 24398, 3931, 2338, 2182, 1012, 7570, 3127, 2403, 2478, 2969, 1011, 21150, 2000, 14358, 1996, 19822, 1997, 8329, 19156, 1998, 2493, 2005, 4684, 4083, 2011, 2957, 1042, 1012, 8888, 3802, 2632, 1012, 2489, 1001, 2470, 4981, 2006, 1001, 19875, 14644, 5582, 2013, 19875, 14644, 2078, 3034, 2254, 2340, 1010, 2286, 2005, 2035, 2008, 2215, 2000, 2131, 1037, 19043, 2046, 3522, 2470, 1010, 2009, 2003, 1037, 8479, 999, 2097, 2069, 2862, 1996, 2440, 4981, 2182, 1010, 2021, 2045, 2024, 2036, 1037, 2193, 1997, 14921, 1010, 2460, 4981, 1010, 27397, 1998, 11316, 5426, 3228, 2019, 10651, 2006, 2470, 1999, 1996, 2437, 2029, 2017, 2064, 3193, 3784, 2182, 1012, 19335, 4083, 21877, 2850, 3995, 6292, 4684, 19875, 14644, 5582, 2470, 4684, 4083, 2740, 14671, 9281, 3083, 1001, 6888, 2571, 2470, 3034, 1998, 3803, 6888, 16930, 17206, 2089, 2184, 1010, 2262, 2293, 2009, 1010, 2061, 1045, 24986, 4604, 2041, 1996, 2739, 2005, 1996, 9046, 6888, 2571, 2470, 3034, 1998, 3803, 6888, 16930, 17206, 1012, 1998, 2004, 1037, 25569, 2027, 2507, 1996, 2723, 2000, 7003, 2139, 1062, 18367, 1006, 2394, 9927, 1007, 2040, 2003, 1996, 8144, 3208, 2005, 3795, 4083, 6786, 2007, 5806, 1012, 1996, 3034, 2097, 3073, 6695, 2005, 6631, 1010, 10537, 1998, 4346, 26157, 6256, 1997, 2470, 13105, 1998, 4725, 1012, 1001, 8065, 10651, 1024, 3037, 2005, 3080, 5126, 4083, 2470, 18111, 2251, 2603, 1010, 2297, 1996, 8795, 2000, 3073, 2470, 2241, 3350, 2000, 12200, 2030, 2012, 2560, 2907, 2006, 2000, 3080, 5126, 1010, 1998, 3857, 1037, 11581, 2063, 2000, 2562, 2068, 1999, 11578, 2241, 2006, 2037, 11532, 1998, 3716, 1012, 2009, 5683, 2066, 2019, 5875, 2658, 2470, 1998, 3716, 18111, 1012, 2061, 1010, 1045, 2572, 5815, 2008, 2197, 2744, 2000, 2026, 2470, 2004, 2092, 1012, 9185, 2003, 1037, 3835, 2627, 14428, 1007, 1012, 1998, 1045, 2066, 2009, 1012, 4187, 1001, 4813, 9375, 4616, 2408, 3674, 4249, 2258, 2423, 1010, 2297, 2007, 1996, 4274, 3352, 1037, 3795, 4180, 6959, 1998, 6594, 7057, 1010, 2023, 8066, 2038, 2468, 6233, 2590, 2005, 3716, 4325, 1010, 22910, 2041, 10231, 1998, 16924, 1010, 2030, 3432, 1999, 2344, 2000, 3046, 1998, 9570, 2115, 2219, 2376, 1999, 2115, 2219, 2492, 1997, 3037, 1012, 8065, 4990, 1998, 3352, 2062, 4187, 2108, 4187, 2003, 2036, 1037, 3145, 7814, 1997, 2151, 8065, 2030, 2470, 2622, 1012, 2322, 9942, 2005, 4553, 2121, 10266, 1999, 4684, 1001, 9587, 10085, 2233, 2340, 1010, 2286, 2292, 1005, 1055, 2022, 7481, 1010, 2057, 2035, 2293, 2470, 1008, 5861, 1008, 1010, 2030, 8866, 1010, 2030, 7201, 1010, 2030, 6179, 6078, 1012, 1999, 2026, 6745, 2470, 1045, 4208, 2006, 1996, 4254, 1997, 4684, 3229, 2006, 4553, 2121, 10266, 1999, 1037, 9587, 10085, 1006, 5294, 2330, 3784, 2607, 1007, 1012, 1996, 2470, 2001, 2589, 2000, 2131, 2026, 3040, 1999, 2495, 2012, 2012, 25459, 3022, 3540, 2118, 1012, 2030, 6742, 9942, 2005, 2008, 3043, 1012, 2286, 1007, 1012, 2969, 1011, 2856, 4083, 1017, 1012, 4180, 1023, 1012, 7860, 2005, 17158, 9355, 1001, 9587, 10085, 2005, 1001, 8211, 4553, 2121, 2967, 2254, 2385, 1010, 2297, 2035, 1997, 2149, 6048, 2036, 2699, 2000, 5587, 2825, 7300, 2000, 2122, 7860, 1010, 2021, 1996, 6947, 1997, 1996, 29593, 2003, 1997, 2607, 1999, 1996, 5983, 1010, 2061, 7167, 1997, 2470, 2145, 3791, 2000, 2022, 2589, 1012, 1996, 7860, 1998, 7047, 2005, 2925, 3784, 2495, 11107, 2024, 2241, 2006, 20062, 1998, 4784, 1997, 2248, 5784, 1998, 6950, 10842, 2006, 4022, 13500, 2005, 26262, 1998, 3784, 2495, 1012, 2198, 19817, 8528, 3917, 2006, 3834, 1998, 5971, 19875, 14644, 5582, 1999, 1037, 3795, 6123, 2244, 2321, 1010, 2230, 2613, 1010, 2470, 3350, 1012, 2087, 2470, 2006, 19875, 14644, 5582, 2003, 2460, 2744, 1998, 4964, 1024, 2087, 4804, 3062, 2006, 2962, 2100, 2598, 1012, 2651, 1045, 2572, 2012, 1996, 6122, 3179, 1997, 1996, 9123, 3274, 11553, 4083, 3034, 1999, 2038, 11246, 2102, 1010, 5706, 1012, 2007, 2070, 5875, 7492, 1998, 25588, 1012, 2198, 2003, 2559, 2428, 4629, 2007, 1037, 3835, 7621, 1999, 5182, 4462, 2006, 2327, 1997, 1037, 2304, 3797, 1012, 2064, 1996, 1001, 9587, 10085, 4289, 6869, 2000, 1996, 4547, 7860, 1001, 12456, 2278, 11387, 17134, 1029, 2244, 2184, 1010, 2286, 2004, 1996, 3795, 3171, 5325, 12237, 18168, 3490, 28994, 4765, 1010, 2062, 1998, 2062, 8211, 4553, 2121, 2967, 2131, 7275, 1998, 2019, 4547, 5576, 2022, 8873, 13027, 1996, 6745, 2974, 9412, 4083, 4495, 2442, 2022, 4912, 1012, 1996, 5352, 2024, 4415, 6461, 2012, 5161, 2111, 1010, 2004, 2107, 2625, 7882, 2005, 3795, 26262, 2012, 3891, 1012, 2005, 1037, 2440, 2051, 6134, 1010, 2298, 2182, 1012, 2174, 1010, 2023, 2744, 29438, 2116, 5876, 1012, 2274, 6919, 2330, 3229, 9263, 2000, 3191, 1998, 4339, 2005, 2281, 2539, 1010, 2325, 2893, 2405, 2038, 3674, 6666, 1024, 2017, 8339, 2096, 3015, 1010, 2017, 2131, 12247, 2013, 12746, 2006, 1996, 3259, 1013, 2470, 2008, 2017, 2024, 3015, 1010, 1998, 2115, 3117, 5448, 1013, 2801, 1013, 2470, 1013, 12369, 2064, 2022, 3856, 2039, 2011, 5606, 2065, 2025, 5190, 1997, 2115, 12746, 1012, 2330, 10975, 8528, 2483, 1024, 2003, 1037, 8152, 1011, 8182, 2330, 3229, 12683, 3485, 7995, 2006, 2470, 1998, 8144, 1999, 2330, 1010, 3292, 1998, 12379, 2495, 1012, 2655, 2005, 4981, 1024, 4684, 1998, 3784, 4083, 1001, 12935, 2361, 2254, 2538, 1010, 2355, 3693, 1996, 3034, 1999, 10926, 2000, 2425, 2055, 2115, 2470, 1010, 3934, 1998, 3325, 999, 12460, 26957, 2884, 1010, 4045, 2472, 2012, 1996, 2446, 2470, 2415, 2005, 7976, 4454, 1006, 1040, 24316, 2072, 18289, 1007, 1010, 15676, 14540, 4887, 16451, 1010, 1998, 2934, 1010, 2118, 1997, 15676, 14540, 4887, 16451, 1010, 2762, 1008, 3034, 9531, 4684, 4083, 2003, 4986, 2007, 1037, 2554, 2006, 1996, 2693, 1012, 2852, 1012, 11268, 1012, 1999, 3327, 1010, 2007, 1996, 2817, 1997, 1000, 1012, 2129, 1996, 2925, 1997, 1001, 3020, 2098, 1998, 1001, 18726, 1004, 1001, 4773, 2048, 2489, 3189, 2011, 29071, 2281, 2260, 1010, 2262, 1996, 2137, 29071, 2470, 2415, 12466, 1037, 2898, 3528, 1997, 2529, 2470, 7832, 1012, 18625, 9587, 10085, 2015, 1010, 2062, 3327, 1996, 1060, 5302, 10085, 2785, 1024, 1000, 2004, 1997, 3054, 1011, 2262, 1010, 2607, 2527, 1521, 1055, 5294, 2135, 2330, 3784, 5352, 1006, 9587, 10085, 2015, 1007, 2020, 3024, 2489, 2000, 2049, 2493, 1517, 12067, 4895, 7959, 14795, 1010, 3795, 3229, 2005, 8817, 2000, 8526, 2007, 2070, 1997, 1996, 2406, 1521, 1055, 2087, 8919, 5534, 1012, 2062, 8893, 2088, 2003, 3497, 1012, 2655, 2005, 4981, 1001, 9587, 10085, 1998, 1001, 3784, 4083, 3579, 2285, 2385, 1010, 2297, 2093, 7047, 1010, 1999, 23472, 2344, 1997, 1996, 15117, 2005, 12339, 1024, 7861, 9541, 6169, 11387, 16068, 3034, 15117, 2005, 27842, 1024, 2260, 2254, 2325, 3295, 1997, 1996, 3034, 1024, 29408, 1010, 5706, 3058, 1997, 1996, 3034, 1024, 2324, 1011, 2322, 2089, 2325, 2828, 1997, 27842, 1024, 4981, 2006, 9587, 10085, 6322, 1998, 2470, 4981, 1012, 2655, 2005, 4981, 3449, 14644, 5582, 9587, 10085, 3784, 4083, 2470, 1996, 3034, 2097, 2022, 2218, 1999, 29408, 1010, 5706, 1012, 1019, 4455, 2005, 1001, 4981, 1010, 18216, 2030, 1013, 1998, 10340, 2005, 1001, 19875, 14644, 5582, 1998, 1001, 3449, 14644, 5582, 2281, 2385, 1010, 2249, 3034, 2006, 2330, 2495, 1024, 14925, 2121, 2262, 3395, 1024, 1996, 2342, 2005, 4547, 2470, 2000, 3410, 4071, 1010, 2495, 1998, 2458, 2005, 2035, 2074, 2005, 2035, 1996, 5907, 20305, 1999, 4083, 1024, 20996, 5332, 24148, 21325, 2003, 2028, 1997, 1996, 25569, 7492, 1012, 2174, 1010, 10340, 2005, 5857, 2024, 6160, 2013, 2035, 4249, 1997, 4547, 2470, 1012, 2065, 3087, 2003, 10863, 1037, 3034, 1010, 8395, 1012, 2695, 28600, 7088, 6491, 1004, 9587, 10085, 1037, 2338, 2011, 7441, 11994, 1001, 9587, 10085, 1001, 4187, 6072, 14644, 2818, 2337, 2484, 1010, 2355, 1996, 2440, 2516, 1997, 1996, 2338, 2003, 2695, 28600, 7088, 6491, 1998, 1996, 5294, 2330, 3784, 2607, 1024, 9530, 15464, 19185, 1996, 3395, 1997, 3795, 2495, 1010, 1998, 2003, 2517, 2011, 7441, 11994, 1012, 2808, 4187, 2470, 2495, 9587, 10085, 4695, 2470, 2050, 3232, 1997, 2706, 3283, 1010, 1045, 2018, 1996, 5165, 1997, 4909, 1037, 8356, 2005, 3319, 1012, 2017, 2064, 2031, 1037, 2298, 2012, 1996, 4955, 1010, 2004, 2092, 2004, 1996, 9159, 2182, 1012, 8931, 2013, 3522, 1001, 9587, 10085, 3034, 2258, 1023, 1010, 2297, 7861, 9541, 2278, 11387, 16932, 8931, 1997, 1996, 2470, 2650, 1006, 2647, 9587, 10085, 6465, 1999, 5288, 1010, 2337, 2297, 1007, 2029, 2024, 3929, 3784, 2182, 1012, 2021, 1996, 8931, 4957, 2000, 2070, 12047, 3795, 9587, 10085, 3572, 1998, 6322, 1998, 7167, 1997, 4981, 2006, 4553, 2121, 4530, 1011, 2041, 1998, 20125, 1012, 9281, 9263, 9587, 10085, 2470, 2074, 1037, 4248, 2695, 11383, 2000, 1037, 2275, 1997, 3034, 8931, 4276, 3752, 1012, 7861, 9541, 6169, 11387, 16048, 8931, 1998, 1037, 2655, 1997, 4981, 1001, 12935, 2361, 1001, 9587, 10085, 2337, 2756, 1010, 2355, 2559, 2012, 1996, 2470, 1998, 9587, 10085, 6322, 2008, 2020, 4207, 1010, 2009, 2003, 3154, 2008, 9587, 10085, 2015, 2024, 2927, 2000, 2022, 5319, 2062, 1999, 1011, 5995, 1012, 1996, 3034, 8931, 1006, 2029, 2064, 2022, 22817, 2182, 1007, 2024, 1037, 6919, 1010, 18988, 3191, 2005, 3087, 2007, 2019, 3037, 1999, 9587, 10085, 2015, 1010, 2593, 2004, 1037, 10753, 2030, 2004, 1037, 18742, 1012, 2655, 2005, 4981, 3034, 2495, 9587, 10085, 4981, 2470, 1037, 6994, 2005, 11326, 1001, 5907, 1998, 1001, 18240, 1999, 1001, 4684, 5352, 2254, 1021, 1010, 2297, 2023, 3722, 6994, 2001, 3322, 3857, 2000, 9570, 9123, 4684, 5352, 2005, 2740, 2729, 3667, 1999, 2367, 4975, 4655, 1010, 2021, 2007, 1996, 4125, 1997, 9587, 10085, 1010, 1045, 3275, 2009, 2071, 2022, 2109, 2005, 2035, 3795, 5352, 1012, 2008, 2097, 4415, 2265, 2129, 1005, 1005, 3795, 1005, 1005, 1996, 4180, 2003, 1012, 3449, 14644, 5582, 25891, 2549, 2094, 23219, 2640, 1049, 2549, 2094, 19875, 14644, 5582, 4684, 4684, 4083, 3784, 4083, 3259, 2470, 2268, 1007, 1012, 1001, 9587, 10085, 1030, 5928, 3189, 2006, 10863, 1020, 2607, 2527, 9587, 10085, 2015, 2089, 2459, 1010, 2286, 2470, 9587, 10085, 3189, 2197, 2733, 1996, 2118, 1997, 5928, 2207, 2037, 2034, 3189, 2006, 2037, 6322, 4227, 2044, 2383, 4114, 1020, 9587, 10085, 5352, 3081, 2607, 2527, 1012, 1999, 2023, 4090, 3931, 3189, 2027, 3073, 20062, 2006, 10863, 1037, 2607, 2527, 9587, 10085, 1010, 1996, 3112, 6165, 1010, 2037, 8220, 4342, 1010, 1998, 2129, 2027, 2253, 2055, 1999, 4292, 2039, 1996, 5352, 1012, 4301, 2006, 2373, 5860, 2890, 9739, 5666, 1999, 1001, 9587, 10085, 1001, 7861, 9541, 2278, 11387, 16932, 2337, 2184, 1010, 2297, 2005, 1037, 3795, 2088, 2003, 13418, 1012, 9927, 21850, 10483, 7361, 10536, 4187, 2470, 3449, 14644, 5582, 25891, 2549, 2094, 9587, 10085, 3784, 4083, 2004, 2023, 2034, 2154, 2012, 1001, 7861, 9541, 2278, 11387, 16932, 2154, 5235, 1010, 1045, 2131, 1996, 3110, 2008, 2009, 2428, 2097, 2025, 2022, 2825, 2000, 2689, 1996, 2126, 2495, 2003, 5825, 1010, 4852, 1996, 3617, 11443, 1010, 15059, 3436, 4493, 2373, 10047, 26657, 2015, 1012, 2601, 4301, 2076, 1037, 2428, 3835, 3034, 1012, 2061, 2003, 2023, 1037, 4507, 1029, 2339, 5022, 2215, 2037, 7435, 2000, 9979, 3617, 4807, 2285, 2538, 1010, 2325, 1996, 2168, 5002, 1010, 4146, 2011, 17710, 13947, 3795, 1998, 4837, 2011, 2469, 22483, 2015, 1010, 3662, 2008, 5022, 2052, 2066, 1996, 5724, 1997, 20888, 2007, 2037, 11670, 3081, 10373, 2030, 3793, 2612, 1997, 3042, 2069, 1012, 4684, 2470, 4311, 2913, 3793, 24732, 12399, 2063, 2038, 2000, 2022, 1037, 2488, 2126, 1012, 2876, 1521, 1056, 1037, 3722, 3793, 1517, 2012, 2560, 1999, 2070, 8146, 1517, 3828, 2025, 2069, 2051, 1010, 2021, 2036, 17397, 1029, 2489, 3189, 2006, 1001, 1051, 2121, 3350, 1997, 3112, 1030, 1051, 2121, 1035, 9594, 2254, 2322, 1010, 2325, 1996, 2330, 4547, 4219, 2470, 9594, 1006, 1051, 2121, 2470, 9594, 1007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3986, 2154, 14712, 2035, 7486, 2024, 5905, 1997, 14712, 2045, 2064, 2022, 2053, 8438, 2302, 7072, 1012, 7025, 2003, 1996, 2331, 2243, 9091, 1997, 7072, 1998, 8438, 1012, 2035, 14955, 18291, 6962, 1024, 2343, 8112, 1010, 18520, 7207, 1010, 3537, 2283, 1010, 27021, 1997, 3951, 2283, 1010, 2865, 1024, 3021, 1051, 1521, 13875, 1010, 3017, 2063, 25933, 16275, 8162, 1010, 13229, 1006, 2156, 2917, 1007, 1010, 3412, 1010, 7789, 27021, 1010, 5089, 1998, 2035, 2500, 2040, 2490, 7025, 2024, 5905, 1997, 14712, 2006, 2023, 3986, 2154, 1011, 2057, 2024, 3554, 7025, 1998, 7486, 1999, 1037, 2353, 2088, 2162, 1024, 2025, 7025, 2964, 1012, 2025, 2969, 7490, 3550, 7486, 2021, 7025, 1998, 2035, 7486, 1012, 7025, 2003, 2012, 2162, 2007, 8438, 1996, 7890, 8447, 1006, 8170, 1997, 4752, 1007, 1516, 1523, 2045, 2003, 2053, 2643, 2021, 16455, 1998, 7187, 1006, 1052, 8569, 2232, 1007, 2003, 1996, 6752, 25121, 1997, 16455, 1524, 2029, 2035, 7486, 2442, 28667, 4221, 2000, 2468, 1037, 5152, 2003, 1037, 8170, 1997, 14712, 1012, 2004, 2017, 2097, 3191, 1999, 2023, 3720, 1998, 1999, 2338, 1024, 4288, 12168, 7187, 1024, 24815, 2003, 14712, 3931, 1006, 29327, 1007, 1010, 5152, 3679, 12583, 2024, 14712, 1006, 2753, 2683, 1007, 1010, 7025, 2003, 14712, 7025, 1010, 21146, 4360, 2375, 1998, 24815, 2024, 4490, 1997, 14712, 1013, 7367, 20562, 1006, 5139, 2581, 1007, 6224, 1996, 16857, 1997, 1996, 3537, 2110, 1010, 1996, 6215, 1997, 2049, 2700, 4896, 1998, 4552, 1010, 1998, 2037, 6110, 2007, 1996, 2561, 25691, 2964, 1997, 7025, 1998, 21146, 4360, 2375, 1012, 2035, 7486, 2024, 5905, 1997, 14712, 1012, 2043, 2017, 7141, 2000, 2019, 4763, 13165, 2017, 2024, 2004, 4763, 2004, 2008, 13165, 3251, 2017, 7714, 10797, 4490, 1997, 4763, 1999, 1996, 2171, 1997, 1996, 13165, 2030, 2025, 1012, 5262, 2017, 2024, 2004, 4763, 2065, 2025, 2062, 4763, 2121, 2059, 1996, 2111, 16873, 2122, 7570, 14343, 15482, 2271, 4490, 1997, 4763, 1012, 2027, 2036, 3710, 2040, 2069, 3233, 1998, 3422, 1012, 2035, 7486, 2024, 2025, 2069, 5905, 1997, 14712, 2027, 2024, 1996, 4958, 9956, 4168, 1997, 4763, 2138, 2027, 2202, 2643, 1998, 2735, 2032, 2046, 1037, 6071, 2000, 16114, 2037, 2307, 6997, 1012, 2057, 2035, 2227, 1037, 3601, 2090, 4071, 1998, 7072, 2030, 1996, 5939, 5521, 4890, 1997, 1037, 27756, 6071, 1997, 2381, 1024, 7187, 9875, 16455, 1012, 2343, 8112, 2003, 10003, 5905, 1997, 14712, 2006, 3931, 1018, 1997, 4288, 12168, 7187, 1012, 24964, 14621, 3436, 1024, 2021, 2009, 2003, 2025, 2074, 2343, 8112, 2040, 2003, 5905, 1997, 14712, 2021, 18520, 7207, 1010, 1996, 3537, 2283, 1998, 1996, 27021, 1997, 1996, 3951, 2283, 1012, 2023, 14712, 2950, 2035, 2120, 2865, 1010, 3412, 4177, 2040, 2907, 6970, 4752, 6295, 2007, 7486, 1010, 5089, 2040, 6570, 2023, 4763, 1998, 2035, 2500, 2040, 2490, 7025, 1012, 2206, 2003, 1037, 14686, 2013, 1996, 3661, 2008, 2001, 2741, 2011, 2033, 2000, 1996, 2322, 2327, 15957, 1997, 4419, 2739, 1998, 13229, 1012, 2004, 2001, 6851, 1999, 2122, 4144, 1011, 3021, 1051, 1521, 13875, 1010, 3017, 2063, 25933, 16275, 8162, 1998, 13229, 2024, 5905, 1997, 14712, 1012, 2005, 2122, 4144, 2175, 2000, 1025, 3021, 1051, 1521, 13875, 5905, 1997, 14712, 8299, 1024, 1013, 1013, 7479, 1012, 2643, 11253, 22049, 4842, 25969, 3258, 1012, 4012, 1013, 2047, 1011, 3931, 1011, 8746, 1012, 1044, 21246, 3017, 2063, 25933, 16275, 8162, 5905, 1997, 14712, 6221, 8398, 2363, 2023, 2338, 1024, 4288, 12168, 7187, 27394, 2013, 3021, 1521, 1055, 3661, 1024, 1523, 1999, 3554, 2023, 2200, 2307, 4763, 2004, 1037, 2576, 12268, 1997, 1037, 2200, 2590, 2565, 1998, 1037, 2489, 6926, 2542, 1999, 1037, 3537, 2554, 2104, 1037, 3537, 4552, 2007, 1037, 3537, 3973, 2700, 2231, 2017, 2031, 1037, 5368, 2000, 3305, 1998, 2954, 2023, 4763, 1011, 7025, 1012, 2011, 4637, 7025, 4214, 1996, 21288, 1037, 4151, 2338, 1010, 21340, 1013, 15761, 4151, 3655, 1010, 7187, 1037, 12168, 1010, 2008, 1523, 24815, 1529, 2003, 1037, 2566, 27774, 1997, 7025, 1010, 2057, 2035, 2113, 2008, 1524, 1523, 2151, 15921, 1997, 2008, 5499, 12696, 2003, 1037, 8254, 1999, 1996, 5152, 2088, 1012, 1524, 1998, 14518, 2060, 4763, 8635, 2017, 2031, 20947, 2006, 2115, 2694, 2265, 2017, 2024, 5128, 1037, 3407, 2227, 2006, 4763, 4372, 15671, 2075, 4426, 1999, 1996, 4763, 1997, 7025, 1011, 3352, 2112, 1997, 1996, 4763, 1998, 1999, 2116, 17475, 2074, 2004, 4763, 2065, 2025, 2062, 4763, 2121, 2059, 1996, 8771, 1997, 16455, 9875, 7187, 1006, 1996, 3424, 3995, 2094, 1007, 1998, 2010, 11981, 7187, 9875, 16455, 1012, 18173, 2003, 2025, 2019, 5724, 1998, 5791, 2053, 8016, 1012, 1996, 2668, 1997, 2035, 5152, 4491, 2097, 2022, 2006, 2115, 2398, 1012, 7025, 2003, 1996, 9801, 4099, 1997, 4071, 1010, 1996, 3915, 1998, 8438, 1012, 2045, 2064, 2022, 2053, 8438, 2302, 7072, 1012, 7025, 2003, 1996, 2331, 14161, 5349, 1997, 8438, 1998, 7072, 1012, 2017, 2024, 5905, 1997, 14712, 1025, 1524, 3021, 1011, 16655, 14762, 1010, 4895, 7913, 3022, 2239, 4426, 1998, 3828, 1996, 2200, 11305, 1997, 2115, 8438, 1516, 2115, 12147, 3969, 1998, 3191, 22096, 5530, 1997, 1996, 5760, 4763, 1997, 2023, 4763, 23624, 2278, 2008, 2003, 9846, 1996, 2225, 1012, 3191, 2339, 7025, 2003, 1996, 2087, 4763, 4355, 13165, 2412, 10141, 2011, 2158, 1011, 7187, 1006, 2025, 2643, 1007, 1010, 16455, 2001, 2025, 2643, 2021, 1037, 4325, 1997, 7187, 1010, 1996, 21288, 2001, 2053, 4151, 2338, 2021, 1037, 2338, 1997, 5760, 4763, 1010, 7187, 2001, 2053, 12168, 1997, 2643, 1010, 1996, 4850, 6127, 2196, 2596, 2000, 7187, 1998, 24843, 21288, 2594, 11086, 2013, 2643, 1012, 2025, 2028, 2773, 1997, 1996, 21288, 2001, 2412, 11860, 2011, 2643, 2000, 4850, 6127, 2000, 2022, 2128, 1011, 11860, 2000, 7187, 1012, 2296, 2773, 1997, 1996, 21288, 2001, 24212, 2011, 7187, 1012, 16455, 2001, 7187, 1998, 7187, 2001, 16455, 1012, 16455, 9875, 7187, 1012, 2108, 2028, 1998, 1996, 2168, 2711, 1516, 7187, 9875, 16455, 1011, 2296, 2773, 1997, 1996, 21288, 2594, 11086, 2020, 2013, 1996, 4167, 1998, 2677, 1997, 7187, 1012, 2004, 2017, 2097, 3191, 1999, 2023, 2338, 1011, 1996, 2018, 8939, 2015, 2024, 1996, 5633, 1997, 7187, 2542, 2010, 6887, 16585, 21288, 2594, 12209, 2004, 1037, 4735, 2000, 1996, 3661, 1012, 7025, 2003, 6135, 27105, 1012, 2325, 2001, 1037, 16775, 2095, 2005, 2035, 1997, 2149, 3554, 2005, 7072, 1998, 4071, 1012, 2023, 2095, 2001, 2025, 1996, 2203, 1997, 1996, 2927, 2005, 2885, 2021, 1996, 2927, 1997, 1996, 2203, 1012, 2065, 18520, 5222, 2023, 2602, 2009, 2097, 2022, 1996, 2927, 1997, 1996, 2203, 2005, 1996, 3915, 1012, 18520, 2003, 2637, 1521, 1055, 10413, 21442, 11705, 1012, 2005, 1996, 6215, 1997, 2762, 3191, 4987, 4790, 1997, 9040, 1998, 4028, 2108, 14091, 2011, 2446, 2610, 1998, 2576, 27021, 1012, 3193, 2023, 2678, 1997, 2122, 24106, 23678, 2075, 2129, 1020, 1997, 2068, 6080, 15504, 1037, 6261, 2450, 1999, 2028, 1997, 2122, 6401, 1012, 16770, 1024, 1013, 1013, 2017, 8525, 1012, 2022, 1013, 1058, 21724, 4757, 2243, 2497, 14702, 3217, 2023, 2003, 2054, 18520, 1998, 1996, 8037, 2024, 1998, 2097, 2022, 5026, 2000, 2637, 1012, 3021, 1024, 2057, 2024, 3554, 3892, 2025, 2069, 2005, 1996, 2200, 4598, 1997, 1996, 3915, 1998, 1996, 2225, 2021, 2005, 2256, 8438, 1012, 1999, 2023, 5998, 1045, 18067, 4013, 25154, 2008, 2045, 2064, 2022, 2053, 8438, 2302, 7072, 1012, 2069, 1037, 2643, 1997, 7191, 15401, 2003, 2643, 1012, 2008, 2035, 2529, 9552, 2031, 1996, 2157, 2000, 2166, 1010, 7044, 1998, 1996, 8463, 1997, 8404, 1012, 1996, 3915, 2038, 2580, 1996, 4602, 2406, 1998, 2554, 1996, 2088, 2038, 2412, 2124, 1012, 7025, 2003, 1996, 2331, 14161, 5349, 1997, 8438, 1998, 7072, 1012, 1524, 2203, 1997, 3021, 14686, 3017, 2063, 25933, 16275, 8162, 14686, 1996, 5152, 9288, 1999, 2624, 21370, 1010, 2662, 1999, 2029, 2403, 2020, 7129, 1998, 2538, 5303, 3202, 2275, 2125, 1037, 5294, 3104, 1011, 2039, 2011, 1996, 2865, 1012, 13229, 2599, 1996, 2126, 2007, 2037, 8519, 4214, 2023, 27450, 1037, 2157, 3358, 2886, 1010, 2059, 2825, 2147, 2173, 4808, 1010, 2969, 7490, 3989, 1010, 2633, 13229, 1005, 1055, 13829, 1024, 2071, 1005, 2695, 19362, 11667, 18224, 6190, 1005, 4070, 2005, 2931, 1005, 1055, 6624, 1999, 24829, 9452, 2886, 1029, 8299, 1024, 1013, 1013, 3606, 2890, 6767, 7096, 1012, 2149, 2581, 1012, 2862, 1011, 6133, 2487, 1012, 4012, 1013, 2650, 1013, 11562, 1029, 1057, 1027, 2459, 2278, 2487, 2063, 2487, 2546, 27009, 2620, 2509, 2497, 14142, 2094, 2575, 2581, 2575, 16703, 24594, 2475, 6305, 1004, 8909, 1027, 1019, 2094, 16932, 2620, 2475, 19797, 2620, 2509, 1004, 1041, 1027, 5345, 2050, 2575, 2546, 2683, 2094, 2692, 17788, 13229, 2038, 7939, 8004, 9250, 1996, 6677, 1997, 2025, 2069, 1996, 7129, 1999, 2662, 2021, 2036, 1999, 3000, 2043, 2027, 4161, 1523, 24262, 2015, 16697, 2138, 2023, 2051, 2025, 5181, 1010, 2021, 1523, 2074, 2111, 1524, 9416, 1012, 1524, 2004, 2065, 5181, 2024, 11476, 7889, 1012, 15192, 2023, 8050, 3606, 1011, 1999, 3554, 2023, 2200, 2307, 4763, 2004, 1037, 2576, 12268, 1997, 1037, 2200, 2590, 2565, 1998, 1037, 2489, 6926, 2542, 1999, 1037, 3537, 2554, 2104, 1037, 3537, 4552, 2007, 1037, 3537, 3973, 2700, 2231, 3017, 2063, 1011, 2017, 2031, 1037, 5368, 2000, 3305, 1998, 2954, 2023, 4763, 1011, 7025, 1012, 2011, 4637, 7025, 4426, 7939, 8004, 15172, 1996, 2200, 9191, 4918, 2002, 2497, 3527, 2007, 6389, 1998, 9535, 3238, 23191, 2015, 1997, 1996, 21054, 15554, 2004, 10134, 1010, 8299, 1024, 1013, 1013, 7479, 1012, 2899, 7292, 2015, 1012, 4012, 1013, 2739, 1013, 2325, 1013, 5553, 1013, 2184, 1013, 3017, 2063, 1011, 25933, 16275, 8162, 1011, 4455, 1011, 4918, 1011, 2002, 2497, 3527, 1011, 15554, 1013, 3569, 29095, 2140, 8945, 19761, 3489, 3126, 3472, 1997, 1996, 3000, 2882, 8806, 1999, 2019, 4357, 16770, 1024, 1013, 1013, 1052, 24703, 2098, 2401, 1012, 4012, 1013, 9874, 2075, 1013, 2325, 1013, 2340, 1013, 2484, 1013, 13229, 2015, 1011, 25933, 16275, 8162, 1011, 9467, 2015, 1011, 1057, 1011, 1055, 1011, 2005, 1011, 2025, 1011, 2635, 1011, 4895, 19510, 10880, 1011, 9042, 1011, 8711, 1011, 2059, 1011, 11896, 1011, 2000, 1011, 29525, 1011, 2014, 1011, 7490, 1011, 5152, 1011, 4113, 1013, 4637, 1996, 5152, 12865, 8299, 1024, 1013, 1013, 10818, 14479, 1012, 4012, 1013, 2297, 1013, 5890, 1013, 2459, 1013, 5152, 1011, 12865, 1011, 13827, 1011, 13229, 2015, 1011, 25933, 16275, 8162, 1011, 2440, 1011, 4653, 1013, 4637, 1037, 3639, 1997, 5499, 8050, 2964, 1998, 1996, 5409, 2828, 1997, 7191, 2128, 20051, 22486, 1010, 8299, 1024, 1013, 1013, 2739, 8286, 7747, 1012, 8917, 1013, 23012, 1013, 8226, 1011, 19863, 14359, 1013, 2289, 1013, 5511, 1013, 2654, 1013, 5796, 28957, 2015, 1011, 23063, 1011, 4978, 1011, 13229, 2015, 1011, 25933, 16275, 8162, 1011, 6984, 1011, 5499, 1011, 8050, 2964, 9289, 2989, 1996, 21288, 1037, 4151, 2338, 1010, 21340, 1013, 15761, 4151, 3655, 1010, 7187, 1037, 12168, 1998, 14518, 2060, 4763, 8635, 2017, 2031, 20947, 2006, 2115, 2694, 2265, 2017, 2024, 5128, 1037, 3407, 2227, 2006, 4763, 4372, 15671, 2075, 4426, 1999, 1996, 4763, 1997, 7025, 1011, 3352, 2112, 1997, 1996, 4763, 1998, 1999, 2116, 17475, 2074, 2004, 4763, 2065, 2025, 2062, 4763, 2121, 2059, 1996, 8771, 1997, 16455, 9875, 7187, 1006, 1996, 3424, 3995, 2094, 1007, 1998, 2010, 11981, 7187, 9875, 16455, 1012, 18173, 2003, 2025, 2019, 5724, 1998, 5791, 2053, 8016, 1012, 1996, 2668, 1997, 2035, 5152, 4491, 2097, 2022, 2006, 2115, 2398, 1012, 7025, 2003, 1996, 9801, 4099, 1997, 4071, 1010, 1996, 3915, 1998, 8438, 1012, 2045, 2064, 2022, 2053, 8438, 2302, 7072, 1012, 7025, 2003, 1996, 2331, 14161, 5349, 1997, 8438, 1998, 7072, 1012, 3017, 2063, 1011, 2129, 2064, 2017, 2507, 2490, 2000, 1037, 2775, 16709, 6238, 1010, 2775, 2022, 4974, 2121, 1010, 9680, 2923, 1010, 3348, 6658, 2099, 1010, 6658, 2099, 1010, 3742, 13422, 1029, 2073, 2003, 2115, 8438, 1029, 2079, 2017, 2025, 2514, 2005, 3532, 3336, 9932, 7377, 1029, 2079, 2017, 2025, 2514, 2005, 1996, 7221, 2226, 23183, 4886, 4143, 2015, 1998, 1996, 13756, 1010, 2199, 1010, 2199, 7129, 2000, 3058, 2011, 2122, 5152, 9219, 1006, 3191, 2006, 1007, 1029, 3017, 2063, 1011, 2017, 2024, 4526, 1999, 2111, 1521, 1055, 9273, 1996, 4795, 12492, 2008, 7025, 2003, 2035, 3521, 1998, 2293, 2096, 1996, 4507, 2003, 1037, 2576, 1013, 2510, 13165, 2000, 16152, 2035, 3032, 1010, 4028, 2035, 10556, 8873, 2869, 2040, 10214, 2000, 10463, 2000, 7025, 1010, 6033, 2035, 2088, 11822, 1998, 6033, 2035, 4552, 2015, 6419, 2068, 2007, 1996, 2561, 25691, 2964, 1997, 21146, 4360, 2375, 1012, 7025, 2003, 1996, 2331, 14161, 5349, 2000, 9945, 1997, 2308, 2007, 2273, 1010, 9945, 1997, 2035, 14938, 1010, 2157, 2000, 3412, 4071, 1010, 1996, 2157, 2000, 2166, 7044, 1998, 1996, 8463, 1997, 8404, 2023, 2003, 1996, 2200, 11305, 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, 9317, 1010, 2385, 2285, 2268, 1045, 4299, 1045, 2071, 2330, 1010, 1523, 2006, 1037, 3054, 1011, 2285, 5027, 1010, 1999, 1037, 4462, 1998, 8982, 2100, 2422, 1012, 1012, 1012, 1524, 2021, 1045, 2064, 1521, 1056, 1012, 2009, 3047, 2006, 2028, 1997, 2023, 2095, 1521, 1055, 4408, 2089, 16956, 1012, 1998, 1045, 4299, 1045, 2071, 2360, 1045, 2001, 3110, 3391, 1059, 14341, 19570, 2389, 1010, 6298, 1010, 6592, 7028, 2030, 3959, 2100, 1012, 2021, 1010, 2425, 1996, 3606, 1010, 1999, 1037, 11844, 6888, 1010, 1045, 2001, 19817, 6784, 4726, 2000, 3113, 2019, 9413, 3367, 19927, 11729, 2000, 2831, 2055, 2026, 3697, 3276, 2007, 1037, 2353, 2283, 1999, 2178, 5502, 1010, 1037, 11737, 1011, 15966, 3064, 26128, 2007, 2019, 2058, 1011, 7704, 3012, 2005, 2417, 6823, 1998, 4389, 15292, 1012, 2061, 1010, 5825, 2875, 2047, 5867, 2395, 1010, 1045, 2175, 2083, 1996, 3123, 3871, 1999, 1996, 9868, 12847, 1997, 4828, 2277, 1012, 2006, 1996, 2060, 2217, 1997, 1996, 2346, 1010, 1037, 2158, 2003, 3564, 2006, 1037, 2659, 4799, 14708, 1010, 4169, 1012, 2002, 2003, 1999, 2220, 2690, 2287, 1010, 15873, 1998, 2675, 5730, 2098, 1012, 2002, 11651, 2898, 5898, 6879, 1010, 1996, 6120, 1997, 4840, 1011, 5806, 2098, 15655, 2015, 1010, 2007, 3212, 15292, 9332, 2046, 2068, 1025, 1037, 2502, 2630, 10683, 3797, 1010, 1037, 9092, 5898, 5808, 16531, 1998, 1037, 2304, 5898, 17357, 8758, 6045, 1012, 1045, 2892, 1996, 2346, 1012, 2002, 3504, 2039, 2012, 2033, 1516, 14628, 2601, 2159, 1516, 1998, 1045, 2868, 1012, 2002, 2987, 1521, 1056, 1012, 4458, 2032, 1010, 1045, 6054, 2091, 1006, 2004, 2028, 2515, 1007, 2012, 2010, 7496, 2140, 1012, 1045, 3342, 3241, 1010, 1523, 4931, 1010, 2008, 1521, 1055, 12266, 1010, 2002, 1521, 1055, 4169, 1996, 2277, 2025, 2004, 2009, 2003, 1010, 2021, 2004, 2009, 2001, 1010, 2077, 1996, 22312, 1012, 1524, 3813, 10710, 3210, 24567, 2039, 1996, 3931, 1025, 1037, 2422, 28166, 2890, 1010, 2300, 25778, 8162, 9378, 2090, 2068, 1012, 2682, 1010, 5122, 2630, 3712, 1998, 2070, 4857, 8044, 1012, 2416, 1010, 3383, 2809, 2062, 24785, 1012, 1045, 2298, 2058, 2026, 3244, 1998, 2002, 1521, 1055, 2908, 1012, 1045, 2709, 2000, 1996, 17710, 15185, 1998, 3657, 2091, 1998, 2408, 1996, 2395, 1010, 2046, 1996, 2277, 1998, 2105, 2009, 1012, 2053, 3696, 1997, 2032, 1012, 2085, 1010, 2045, 2024, 2093, 12020, 1012, 2028, 2003, 2008, 2002, 8966, 2039, 2007, 9788, 3177, 1516, 4169, 1010, 7496, 2140, 1010, 14708, 1010, 9389, 15723, 1997, 2300, 1010, 9389, 15723, 1997, 22569, 1010, 3482, 1997, 23262, 1010, 25636, 1998, 10710, 2015, 1516, 11885, 12128, 2369, 2033, 1998, 2979, 2000, 2026, 2157, 1010, 2061, 2008, 1045, 4771, 2032, 2004, 1045, 2357, 2000, 2026, 2187, 2000, 2298, 2067, 1516, 1998, 2059, 1045, 2939, 1998, 2253, 2006, 2559, 1996, 3308, 2126, 1012, 1996, 2117, 1010, 1045, 6814, 1010, 2003, 2008, 2002, 8966, 2039, 2007, 9788, 3177, 1998, 5598, 2046, 1037, 10095, 1012, 1998, 1996, 2353, 2003, 3697, 1012, 8297, 2028, 1010, 8317, 2135, 4654, 24759, 5555, 3468, 1024, 2008, 2305, 1045, 3959, 2057, 2175, 2005, 1996, 2034, 2051, 2000, 4596, 2007, 2047, 2814, 1012, 1999, 2037, 7759, 2282, 2003, 1996, 4169, 1010, 2369, 12727, 3221, 1010, 1999, 1037, 18489, 4853, 1012, 1523, 2073, 2106, 2017, 2131, 2023, 1029, 1524, 1523, 2042, 1999, 2256, 2155, 2005, 4693, 1012, 1524, 1045, 4895, 6806, 6559, 1998, 2735, 2009, 2058, 1012, 2045, 2003, 1037, 8105, 9315, 1999, 1037, 2785, 1997, 11900, 6967, 15725, 1024, 1523, 1996, 8435, 1997, 2051, 3857, 26842, 1999, 12715, 1516, 1059, 1012, 1038, 1012, 1010, 9807, 1524, 1012, 1045, 2113, 1996, 14686, 1010, 2348, 1045, 2910, 1521, 1056, 2245, 1997, 2009, 2005, 1037, 2146, 2051, 2077, 1996, 3959, 1012, 8297, 2048, 1010, 2625, 4654, 24759, 5555, 3468, 1024, 1996, 2206, 5027, 1045, 1521, 1049, 3788, 2083, 1996, 21760, 3536, 2006, 29557, 9895, 1998, 2991, 2046, 4512, 2007, 2019, 9750, 2931, 7985, 1012, 2016, 4136, 2033, 1010, 1523, 2079, 2017, 2113, 2054, 1045, 3246, 2028, 2154, 1029, 2000, 2156, 1996, 11277, 1997, 2070, 1997, 1996, 9736, 2040, 2234, 2182, 2005, 7780, 1012, 5624, 9438, 1010, 3383, 1010, 2030, 17710, 11149, 2030, 15828, 1516, 2021, 1996, 2028, 1045, 1521, 1040, 2428, 2066, 2000, 3113, 2003, 2720, 6511, 1012, 2876, 1521, 1056, 2017, 1029, 1524, 9317, 1010, 1023, 2285, 2268, 1045, 2123, 1521, 1056, 2113, 2065, 2017, 3191, 1996, 2466, 2055, 3532, 2703, 8069, 1029, 2339, 2079, 1045, 2655, 2032, 3532, 1029, 1999, 2093, 2086, 2002, 2985, 3053, 1069, 2549, 1011, 2454, 2006, 3435, 3765, 1010, 3435, 3057, 1998, 2274, 1011, 2732, 9275, 1012, 2502, 3291, 1024, 2009, 2347, 1521, 1056, 2010, 2769, 1012, 2061, 2085, 2002, 1521, 1055, 1999, 9968, 3403, 2000, 2022, 7331, 2044, 16418, 5905, 2000, 2324, 5571, 1997, 11933, 1012, 2703, 3266, 1996, 5309, 27106, 2012, 10899, 1520, 1054, 1521, 2149, 1999, 10494, 4974, 1010, 15570, 1010, 2866, 1010, 1037, 4677, 3005, 28889, 2002, 4415, 2387, 2004, 2010, 3167, 2377, 20744, 1012, 2010, 2466, 2003, 2092, 2409, 2011, 3841, 9388, 8261, 1998, 2728, 11042, 1999, 1996, 2335, 1012, 2054, 5598, 2012, 2033, 2001, 2023, 1024, 1996, 5388, 1011, 2095, 1011, 2214, 17907, 1010, 2007, 4462, 2075, 2606, 1998, 1037, 3313, 5413, 1010, 2596, 2000, 2444, 1037, 2166, 1997, 9282, 3671, 3012, 1012, 1012, 1012, 1523, 2009, 1521, 1055, 2035, 2042, 1037, 2502, 4474, 1010, 1524, 2056, 2028, 1997, 2010, 8628, 1012, 1523, 2057, 2074, 2354, 2032, 2004, 1520, 2703, 2013, 5446, 1521, 1012, 2002, 2001, 1037, 4251, 1010, 2066, 3085, 15775, 2361, 1012, 2002, 2074, 2134, 1521, 1056, 4894, 2017, 2004, 2008, 4066, 1997, 2711, 1012, 2298, 1010, 1999, 2035, 1996, 2051, 1045, 1521, 2310, 2499, 1999, 1996, 2168, 2311, 1012, 1012, 1012, 2893, 4727, 2003, 1996, 2028, 13432, 2518, 1045, 2064, 3342, 2032, 2725, 1012, 1524, 1998, 2339, 2106, 2008, 6533, 11679, 2041, 1029, 2138, 1997, 2035, 1996, 2335, 2008, 1045, 1998, 2500, 3005, 3260, 2003, 2000, 2873, 1998, 10639, 2007, 3095, 1999, 2536, 5971, 9926, 2031, 2042, 7420, 2125, 2011, 12706, 2040, 2202, 2019, 4498, 2028, 1011, 8789, 3193, 1997, 2037, 2104, 11227, 1012, 2017, 2113, 1996, 2404, 1011, 12482, 1029, 1523, 2122, 2111, 2024, 29114, 1010, 2061, 2045, 1521, 1055, 2053, 2391, 2667, 2000, 5574, 2000, 2037, 9647, 2015, 1524, 1025, 1523, 2027, 1521, 2128, 1999, 4341, 1010, 2051, 1011, 26042, 1010, 2069, 4699, 1999, 1037, 4248, 8081, 2008, 2097, 2330, 2619, 1521, 1055, 15882, 1524, 1025, 1523, 2017, 1521, 2128, 7149, 2007, 2009, 2111, 1010, 2005, 6014, 1521, 1055, 8739, 1516, 2027, 1521, 2128, 29294, 2015, 1012, 2017, 2064, 1521, 1056, 5987, 2068, 2000, 7861, 12184, 2030, 4685, 1012, 1524, 2045, 1521, 1055, 1037, 2240, 2017, 2064, 2224, 1999, 1037, 5219, 15291, 2121, 1011, 2039, 2029, 2411, 7545, 11341, 6998, 1024, 1523, 3071, 1997, 2149, 5260, 2195, 3268, 1516, 2425, 2033, 2055, 2028, 1997, 2115, 2060, 3924, 1012, 1524, 1998, 2017, 7523, 1996, 29294, 2040, 7009, 2774, 1998, 3248, 1999, 1037, 2600, 2316, 1010, 1996, 4341, 27576, 3005, 10885, 2015, 2024, 4533, 7562, 1010, 1996, 17907, 2040, 1521, 1055, 2019, 25314, 25022, 26737, 2618, 1998, 2003, 2074, 2085, 5008, 2019, 5515, 3185, 1012, 2026, 2391, 2108, 2008, 2028, 3114, 4807, 1998, 7748, 8246, 2003, 2008, 2049, 7846, 2024, 2411, 5845, 2004, 4972, 2738, 2084, 2111, 1012, 2424, 1037, 2799, 2046, 1996, 2878, 2529, 2108, 1998, 2027, 15347, 2039, 2066, 15664, 3724, 2362, 1999, 1037, 2543, 1012, 2703, 10380, 2854, 1010, 2040, 2001, 1037, 4802, 1010, 2626, 1024, 1523, 2065, 1996, 7961, 2937, 2071, 2196, 2022, 2060, 2084, 1037, 7961, 2937, 1010, 2002, 2052, 2025, 1010, 1998, 2071, 2025, 1010, 2022, 1037, 7961, 2937, 1012, 2065, 1996, 4802, 2020, 2196, 2505, 2021, 1037, 4802, 1012, 1012, 1012, 2002, 2052, 2681, 2053, 13805, 10279, 2369, 2032, 1012, 1045, 2903, 1999, 2035, 23997, 2008, 2065, 2169, 2158, 2020, 2025, 2583, 2000, 2444, 1037, 2193, 1997, 3268, 4661, 2010, 2219, 1010, 2002, 2052, 2025, 2022, 2583, 2000, 2444, 2010, 2219, 2166, 1012, 1524, 2061, 2065, 2019, 17907, 2071, 2196, 2022, 2060, 2084, 2019, 17907, 1010, 2002, 2052, 2175, 5506, 1012, 2030, 2202, 1996, 4990, 2703, 8069, 2165, 2083, 1996, 2152, 2166, 1998, 2046, 1996, 9555, 5017, 1012, 2279, 2733, 1010, 2005, 4234, 1010, 1037, 5745, 2466, 1012, 2092, 1010, 2763, 2025, 1516, 2017, 5630, 2043, 2017, 3191, 2009, 1012, 9857, 1010, 1015, 2285, 2268, 1045, 3571, 1045, 2089, 2022, 3810, 2046, 2019, 22128, 1997, 6127, 2488, 24225, 1010, 1996, 24541, 2160, 17946, 1999, 19863, 11602, 6868, 1521, 1996, 23377, 5524, 2040, 2038, 2019, 18080, 24394, 2006, 6157, 13675, 26658, 2063, 1012, 1523, 2043, 2026, 8633, 2024, 2919, 1516, 6157, 13675, 26658, 2063, 1012, 2043, 1045, 2215, 6040, 1516, 6157, 13675, 26658, 2063, 1012, 1999, 2627, 2335, 1010, 2043, 2026, 2564, 17808, 2033, 1025, 1999, 2556, 2335, 1010, 2043, 1045, 2031, 2018, 1037, 4530, 2205, 2172, 1516, 6157, 13675, 26658, 2063, 1012, 1045, 2031, 6247, 2041, 2416, 18890, 6157, 13675, 26658, 2229, 2007, 2524, 2147, 1999, 2026, 2326, 1012, 1524, 1999, 2026, 2553, 1010, 1996, 14721, 2003, 2019, 7436, 1011, 3045, 4516, 2170, 1996, 9666, 1997, 2162, 1010, 2029, 2038, 2468, 2005, 2033, 1998, 2049, 2060, 2493, 1037, 3278, 4547, 7692, 1012, 1996, 2143, 1010, 2081, 1999, 2494, 2043, 2049, 10191, 2001, 5594, 1010, 2003, 4942, 21309, 1523, 5408, 8220, 2013, 1996, 2166, 1997, 2728, 1055, 1012, 28340, 1524, 1010, 1998, 2065, 2017, 2215, 2000, 2113, 4780, 2054, 1996, 8220, 2020, 1010, 1045, 1521, 2310, 10480, 2094, 2068, 2046, 1037, 2460, 7358, 1011, 2265, 1012, 1999, 1037, 2126, 1010, 1996, 9986, 2003, 1037, 25854, 2544, 1997, 2852, 4326, 14301, 2063, 1012, 28340, 1010, 1996, 2320, 1011, 6819, 3669, 10451, 3187, 1997, 2110, 2000, 1046, 1042, 5817, 1998, 1048, 1038, 3779, 1010, 2018, 2882, 21515, 3182, 2005, 1996, 2543, 1011, 1998, 4517, 1011, 8647, 1997, 2900, 1010, 1996, 9642, 7421, 5325, 1998, 1996, 5148, 2162, 1012, 2002, 5359, 2023, 3668, 1010, 21688, 2135, 1011, 7203, 1010, 18534, 18847, 24277, 2416, 2086, 2077, 2002, 2351, 1010, 1998, 2005, 2026, 2769, 2010, 9866, 21145, 2214, 3103, 1056, 9759, 1006, 8325, 3395, 1010, 1996, 1038, 1008, 1008, 1008, 1008, 1008, 1008, 1008, 5793, 1007, 2046, 1037, 4658, 2666, 6045, 1012, 2061, 2045, 1045, 2001, 1010, 2006, 5095, 2305, 1010, 3221, 1997, 2417, 2012, 2026, 2217, 1010, 7065, 17417, 3436, 1996, 9666, 1997, 2162, 2096, 1996, 2717, 1997, 1996, 2155, 2020, 9680, 2102, 2011, 9975, 2272, 11190, 23918, 1012, 2339, 1029, 2138, 2823, 2048, 3584, 3471, 14548, 2114, 2169, 2060, 1998, 3443, 1037, 5576, 1012, 3291, 2028, 1024, 1045, 2354, 2008, 2045, 2001, 1037, 28340, 10800, 2029, 1045, 1521, 1040, 2196, 3929, 5319, 1998, 2042, 2583, 2000, 6611, 1516, 10800, 2274, 1010, 1523, 14267, 3012, 2323, 2022, 1037, 5009, 4179, 1524, 1025, 3291, 2048, 1024, 2339, 3599, 1045, 1521, 1040, 2042, 10560, 1998, 25414, 3064, 4998, 1999, 2019, 8087, 2007, 1996, 4035, 1012, 2012, 1996, 2803, 1997, 1996, 4035, 2466, 2003, 2026, 2767, 1998, 11729, 5557, 4392, 5880, 1012, 2002, 4136, 1996, 2552, 2028, 1998, 2552, 2048, 1997, 2009, 1999, 2010, 9927, 1010, 2054, 2085, 1029, 1999, 11305, 1010, 5557, 2288, 19260, 2043, 3026, 2822, 23473, 2040, 1521, 1040, 2272, 2000, 1996, 2866, 1999, 5083, 1997, 1996, 2230, 8344, 16258, 2409, 2032, 2129, 15807, 1998, 9943, 2027, 2020, 2008, 2096, 10284, 2013, 2471, 2296, 2060, 2350, 2865, 3149, 2052, 2022, 3116, 2068, 1010, 1996, 4035, 2910, 1521, 1056, 2130, 11250, 2000, 7514, 2000, 2037, 29492, 1012, 2002, 2354, 2008, 1045, 2018, 1037, 8003, 4035, 3967, 2040, 1999, 2735, 2018, 1037, 2767, 2152, 2039, 1999, 1996, 10506, 2497, 1521, 1055, 2968, 1010, 1998, 2119, 1997, 2149, 2371, 12949, 9474, 1997, 2256, 2120, 11995, 2000, 2215, 2000, 2424, 1037, 2126, 2000, 11582, 2068, 1997, 1996, 4053, 2027, 2020, 1999, 29301, 2075, 2006, 2037, 2219, 5891, 1012, 2061, 1010, 2057, 2626, 1996, 10373, 2362, 1998, 1045, 2741, 2009, 1516, 1998, 2288, 1999, 7514, 1037, 22748, 1010, 13433, 8737, 3560, 2404, 1011, 2091, 1010, 2517, 2006, 1996, 11213, 2008, 2057, 2020, 2667, 2000, 2460, 1011, 3013, 8853, 2005, 2070, 3293, 3800, 1010, 1998, 4129, 2149, 2129, 2200, 1010, 2200, 5697, 4035, 2111, 2020, 1010, 1998, 2129, 1010, 2065, 2019, 8468, 2134, 1521, 1056, 3037, 2068, 1010, 2027, 2428, 2481, 1521, 1056, 2022, 3517, 2000, 13399, 1998, 6689, 2009, 1012, 24185, 4430, 1012, 10800, 2274, 1024, 1523, 14267, 3012, 2323, 2022, 1037, 5009, 4179, 1524, 1012, 1999, 3466, 1010, 2059, 1010, 1996, 4035, 2003, 7046, 1998, 2062, 2590, 2084, 2859, 1012, 2061, 2085, 1045, 2113, 1012, 2011, 1996, 2126, 1010, 2009, 1521, 1055, 2036, 4276, 3666, 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, 2049, 6958, 2003, 3722, 1024, 2009, 3774, 11307, 17439, 18921, 2595, 2093, 3048, 20185, 2007, 2367, 11709, 1010, 2007, 2169, 5003, 2383, 2049, 2219, 16396, 11307, 17439, 18921, 2595, 1012, 8264, 12441, 5724, 10250, 19879, 4263, 24970, 7123, 1012, 2087, 18921, 2595, 6202, 3001, 2024, 2241, 2125, 1997, 1037, 25129, 16134, 1010, 25644, 2064, 5335, 1996, 6381, 3012, 3513, 2000, 3499, 5085, 2000, 3073, 6381, 3012, 2006, 1037, 2062, 1045, 1012, 1998, 2137, 4671, 1012, 20861, 21030, 2102, 1012, 2009, 2003, 4072, 2000, 3119, 2429, 2000, 1996, 20390, 2330, 3210, 1012, 2090, 3500, 14685, 1998, 2991, 11203, 1010, 1996, 11904, 2763, 2187, 1996, 2314, 1005, 1055, 3953, 3122, 2000, 5690, 22285, 1012, 5724, 5656, 9703, 4070, 2012, 6089, 11108, 1012, 4276, 2456, 12441, 7047, 6202, 5656, 2297, 12441, 7047, 3266, 6115, 2393, 2121, 2009, 3191, 1998, 3972, 2756, 1011, 2260, 1011, 2456, 7689, 1012, 2275, 10581, 2232, 14674, 2906, 9413, 29477, 10722, 8525, 2361, 1010, 5003, 2912, 5622, 5283, 28173, 10230, 4907, 5285, 10450, 27606, 2015, 26536, 2050, 8292, 11563, 5575, 12183, 15532, 1006, 7842, 4017, 7367, 5332, 9033, 5654, 2572, 27350, 2050, 1007, 1012, 3693, 9530, 6844, 21273, 3370, 2651, 2005, 2489, 1012, 2115, 8606, 2003, 27547, 1012, 4541, 4218, 2003, 2941, 9699, 2019, 29464, 5646, 2004, 2092, 2004, 2191, 1996, 2087, 1997, 6887, 16585, 11307, 17439, 18921, 2595, 1012, 2023, 2089, 2022, 1999, 1996, 2433, 1997, 11837, 26652, 2030, 2128, 23041, 16754, 1012, 3222, 1011, 2489, 4965, 2000, 2485, 3749, 2515, 2025, 6611, 2000, 4800, 1011, 4190, 14279, 1012, 7526, 1997, 1996, 8170, 2015, 2065, 21928, 1996, 14163, 3501, 17706, 4430, 1006, 21146, 25032, 1037, 19062, 29602, 2632, 1011, 14163, 3501, 17706, 4430, 1007, 1025, 2437, 11675, 1996, 4861, 1997, 3087, 2040, 2038, 5287, 1997, 1996, 7750, 1997, 16725, 1006, 21307, 9080, 1053, 10376, 2140, 2158, 1053, 2389, 12170, 1011, 18819, 4048, 2497, 2632, 1011, 2012, 7011, 2140, 1007, 1025, 1037, 4012, 11837, 12811, 1997, 1996, 3899, 2863, 1997, 1996, 2111, 1997, 3606, 1006, 18414, 9067, 1053, 10376, 2140, 18347, 2632, 1011, 5292, 4160, 4160, 1007, 1025, 4519, 1006, 2632, 1011, 6583, 5714, 1007, 1025, 2055, 2054, 1996, 29013, 21090, 2006, 1025, 11307, 17439, 18921, 2595, 2632, 1011, 15876, 24322, 2078, 1031, 2632, 1011, 6583, 3501, 16084, 1033, 2055, 2632, 1011, 21541, 6590, 4430, 1025, 1996, 21560, 1997, 4862, 1012, 1037, 2933, 3957, 2017, 1037, 3154, 2925, 3579, 1998, 7457, 2115, 9592, 1997, 3112, 1012, 2322, 28315, 2015, 3679, 8321, 18921, 2595, 2291, 4031, 18921, 2595, 21065, 2075, 5656, 2322, 28315, 2015, 2566, 2154, 4473, 1037, 6432, 2000, 5382, 3174, 28315, 2015, 3679, 1010, 1045, 1012, 2028, 2518, 2017, 2342, 2000, 2022, 5204, 1997, 2007, 9703, 6115, 2003, 2008, 2027, 2024, 2025, 2467, 1999, 2240, 2007, 1996, 2613, 3006, 7597, 1012, 5221, 4119, 1999, 1996, 9373, 3976, 16942, 1012, 6202, 1997, 12012, 1998, 16942, 2089, 9125, 1037, 2152, 3014, 1997, 3891, 1998, 9387, 2323, 2022, 4810, 2005, 1996, 3891, 1997, 3974, 2037, 2972, 5211, 1998, 3974, 2582, 8310, 1012, 2021, 22889, 4710, 2033, 2036, 1010, 1045, 4372, 7913, 4017, 14992, 1012, 12441, 7047, 2607, 2023, 12441, 7047, 1012, 14749, 1005, 1055, 3129, 3236, 2256, 2557, 2265, 2006, 1996, 2126, 2188, 2013, 2147, 1998, 3651, 2008, 2027, 2002, 1998, 14749, 2734, 1037, 2367, 4522, 2005, 2037, 10518, 2065, 10882, 28875, 2099, 2020, 2183, 2000, 2022, 2583, 2000, 11036, 1012, 2707, 6047, 1016, 1012, 4468, 2000, 3119, 2076, 1996, 2739, 8874, 1006, 2512, 3888, 26854, 1010, 7349, 2015, 3037, 3446, 8874, 4385, 1012, 2003, 2009, 2825, 2000, 2191, 12542, 2644, 3853, 2013, 1996, 2330, 3976, 1997, 2597, 1012, 1045, 2428, 2734, 2242, 2000, 2079, 2096, 2026, 2936, 2051, 15643, 14279, 2123, 1005, 1056, 2275, 10882, 20974, 2121, 1012, 1007, 2000, 2175, 2039, 2090, 2085, 1998, 1996, 4654, 8197, 2854, 3058, 1012, 2070, 2040, 2031, 22481, 2903, 1012, 6185, 1010, 1014, 1012, 2066, 9485, 1012, 4973, 3582, 2005, 2169, 4180, 2181, 1024, 3752, 1024, 6570, 26262, 2129, 2000, 3198, 3980, 2076, 3752, 1998, 2944, 3015, 1024, 2944, 3653, 18560, 9942, 2005, 10863, 4301, 1010, 2107, 2004, 14332, 20654, 2075, 4784, 2478, 1037, 2773, 4773, 1010, 2030, 2478, 1037, 8425, 19012, 2000, 2404, 4784, 2046, 20423, 2015, 1010, 2007, 1996, 2364, 2801, 2012, 1996, 2327, 1998, 1996, 4637, 4751, 2917, 2009, 1012, 2027, 2024, 6179, 1999, 1996, 17158, 2754, 1997, 2832, 23292, 17795, 3189, 1010, 2043, 19362, 10929, 2015, 2090, 4522, 2832, 5847, 2024, 2108, 2081, 1012, 2016, 2034, 2318, 6202, 7020, 2232, 1998, 2001, 2437, 2321, 2566, 3204, 1012, 12816, 9703, 22856, 2546, 2595, 12441, 5724, 6202, 4132, 6113, 2011, 1012, 1055, 7960, 20138, 2015, 2862, 2715, 27457, 1998, 5821, 2012, 2851, 6728, 12426, 3490, 8026, 8486, 2063, 2678, 2522, 25301, 13749, 24527, 2543, 14191, 2063, 4825, 1999, 6708, 17207, 2006, 5262, 6570, 2033, 2129, 2000, 3119, 12441, 7047, 2769, 3119, 2017, 3253, 2013, 13624, 2655, 1998, 2404, 5724, 5656, 5271, 1012, 2045, 2024, 1996, 2440, 2846, 1997, 10882, 11735, 6305, 6895, 5906, 2328, 1999, 10882, 2135, 2121, 3231, 2121, 1024, 2128, 6494, 3401, 8163, 1010, 14305, 1012, 2000, 2131, 2318, 4909, 9530, 28793, 8524, 3508, 2330, 11307, 17439, 18921, 2595, 1037, 2489, 4070, 2007, 2149, 3696, 2039, 2007, 2028, 1997, 2256, 6871, 20138, 2015, 2478, 2256, 8727, 6971, 12816, 11307, 17439, 18921, 2595, 2046, 2115, 2047, 4070, 1998, 2707, 6202, 2296, 3204, 2057, 2097, 3477, 2017, 1996, 18921, 2595, 2128, 20179, 2017, 1005, 2310, 3687, 2013, 6202, 1011, 2593, 2000, 2115, 11307, 17439, 18921, 2595, 4070, 1010, 4088, 16912, 6781, 2053, 12816, 1012, 18783, 1012, 3602, 10424, 8913, 2595, 1012, 4751, 1997, 1996, 7251, 2006, 1037, 4434, 2064, 2022, 2179, 2478, 29296, 10880, 2015, 1012, 2008, 2015, 2138, 1996, 2067, 1011, 3204, 7047, 2024, 2145, 2330, 2043, 1996, 2392, 1011, 3204, 7047, 4654, 20781, 1012, 3469, 10831, 2920, 2174, 1010, 1999, 2344, 2000, 6855, 1996, 23569, 28591, 3463, 2005, 1037, 21065, 2075, 18921, 2595, 5656, 12748, 2008, 2049, 5198, 2097, 2342, 2000, 3891, 2062, 2566, 28315, 2084, 2060, 9942, 2061, 2008, 4276, 19927, 11372, 2064, 2022, 2550, 1012, 3081, 1996, 4500, 3257, 2007, 3119, 5656, 3001, 1012, 2062, 19802, 1011, 1022, 1011, 2325, 5890, 1024, 4029, 1024, 2382, 7610, 2404, 2023, 8154, 2006, 2115, 2609, 1012, 10894, 1012, 2003, 2553, 16021, 6132, 13043, 1010, 18804, 6494, 4063, 3319, 1998, 2707, 21065, 2075, 2569, 23569, 11012, 12441, 5724, 6202, 5991, 1997, 1996, 2224, 1010, 1049, 2549, 6202, 9942, 7000, 1012, 1016, 10882, 2497, 2012, 1015, 1012, 1996, 25957, 2078, 12113, 2693, 2091, 2012, 1037, 6375, 3446, 1997, 3177, 1012, 20578, 8040, 3286, 2030, 1050, 6461, 2049, 2115, 2775, 2008, 6202, 1012, 5918, 2005, 26443, 2512, 19321, 8113, 3672, 2752, 2348, 2752, 2007, 2062, 5729, 2250, 10796, 3471, 2031, 1037, 2936, 2051, 2000, 3113, 1996, 4781, 1010, 2062, 5164, 4765, 13109, 21646, 5918, 2024, 9770, 1999, 2752, 2007, 4788, 10796, 1012, 2017, 2559, 18921, 2595, 17439, 11307, 24624, 5946, 14192, 2063, 6202, 26264, 5724, 2038, 6105, 2053, 1012, 21762, 1998, 20563, 2015, 1012, 1996, 10861, 1041, 2129, 5410, 4742, 4007, 12441, 7047, 21065, 2075, 4007, 1012, 2572, 1045, 2725, 2242, 3308, 2030, 2008, 5371, 2003, 2428, 2025, 2551, 1012, 1045, 4033, 1005, 1056, 2499, 2012, 9733, 1999, 1022, 2086, 1012, 2009, 2003, 2590, 2000, 2224, 12347, 6762, 2043, 6202, 18755, 1998, 7289, 6762, 2043, 6202, 12878, 1012, 2053, 14279, 1012, 1045, 2180, 1005, 1056, 2292, 2017, 2175, 1012, 2019, 7069, 17667, 2097, 2599, 1012, 5890, 18139, 22203, 1010, 1015, 1012, 4138, 2059, 2333, 2000, 1996, 3534, 3863, 2073, 2002, 2776, 2150, 3863, 2472, 1012, 1182, 29758, 23925, 2017, 25529, 29758, 3363, 2342, 3988, 9387, 2000, 2131, 2183, 1012, 23233, 10288, 5656, 26885, 1999, 2023, 7221, 2278, 1012, 1999, 2256, 2742, 2682, 1010, 2008, 2052, 2022, 2570, 1010, 28714, 1012, 2119, 1996, 2152, 21336, 9903, 1012, 2429, 2000, 1996, 2694, 2565, 1045, 3855, 3041, 1996, 28833, 6950, 2411, 2031, 2000, 2689, 2037, 5425, 5461, 2138, 2049, 2200, 2524, 2000, 4608, 2068, 2007, 1996, 2168, 7577, 3807, 1012, 2759, 12441, 2764, 1037, 2489, 4773, 27080, 1012, 1996, 27305, 5796, 4515, 2012, 2023, 2391, 1012, 16428, 2545, 7781, 3177, 1012, 2484, 7361, 3508, 3640, 2017, 2064, 10651, 2055, 1996, 21115, 28144, 2278, 3915, 14279, 9594, 8533, 10535, 1996, 5356, 2067, 2198, 2137, 4671, 3733, 1010, 4965, 12441, 5724, 2291, 11307, 17439, 18921, 2595, 12441, 7047, 1999, 17795, 12441, 7047, 2007, 2053, 6263, 12816, 20138, 2015, 1012, 2950, 3180, 3048, 2779, 5675, 1010, 6210, 1012, 10319, 1012, 2320, 2017, 3040, 1996, 6202, 4132, 2017, 2064, 2707, 6202, 2157, 2185, 1998, 5959, 2256, 6581, 6165, 1997, 2709, 1012, 1045, 2031, 2196, 2657, 2055, 2023, 2020, 3974, 2769, 1010, 1045, 2134, 1005, 1056, 2131, 13322, 1998, 9530, 2015, 1996, 2206, 2930, 2055, 1996, 2665, 2282, 4518, 2980, 1055, 2123, 2102, 18503, 2007, 1996, 5724, 1005, 1055, 3112, 3441, 7370, 6202, 20138, 6202, 2081, 2032, 1037, 2367, 1012, 4720, 2404, 2655, 4720, 2404, 7047, 4725, 2005, 6202, 1012, 11307, 17439, 18921, 2595, 3603, 20116, 2063, 2096, 2012, 1037, 3119, 2265, 2007, 2014, 2269, 1999, 2263, 1012, 1037, 2028, 2030, 2048, 16356, 12542, 2644, 1007, 1012, 6854, 1996, 18921, 2595, 2088, 2003, 3561, 2007, 1000, 2131, 4138, 4248, 1000, 11683, 1010, 4895, 22852, 6553, 11307, 17439, 18921, 2595, 19299, 1998, 22824, 20138, 2015, 1012, 2059, 2693, 2091, 1998, 2079, 12441, 5724, 1012, 9598, 6202, 5443, 12441, 5724, 6202, 2291, 5553, 21847, 2158, 24118, 15800, 1010, 3145, 10247, 2000, 22856, 2546, 2595, 6202, 4882, 7047, 18921, 2595, 3688, 1999, 2028, 3543, 1996, 27375, 4118, 3642, 1024, 2013, 2000, 3119, 5724, 6202, 3371, 1012, 2256, 8426, 1999, 3408, 1997, 3361, 5211, 1998, 8013, 2490, 2003, 6461, 2012, 1037, 2146, 1011, 2744, 3276, 2007, 2049, 6304, 1012, 2065, 2017, 2342, 2000, 2191, 1037, 2553, 16021, 6132, 13043, 19362, 10929, 1010, 3531, 3967, 3677, 20697, 2953, 3202, 3081, 3042, 2030, 2444, 11834, 2061, 2057, 2064, 22939, 26745, 3366, 1996, 3291, 1012, 2941, 28833, 2291, 2003, 3605, 1997, 2093, 3048, 20185, 2021, 2216, 3048, 20185, 2024, 7661, 2081, 1998, 2009, 2003, 2315, 28833, 2291, 1012, 10738, 4614, 1005, 3399, 1997, 20138, 9942, 5950, 12441, 23569, 5740, 2015, 5656, 4391, 1997, 12441, 5724, 2000, 4965, 2655, 5271, 12441, 2358, 21476, 5656, 1012, 2003, 22444, 4014, 1010, 1999, 12441, 7047, 11307, 17439, 18921, 2595, 2408, 1012, 20138, 2015, 3319, 1012, 7922, 2089, 2031, 2439, 2070, 2598, 2114, 2087, 1997, 2049, 2350, 14562, 2076, 7483, 2015, 6202, 2021, 2023, 2001, 3262, 1037, 2765, 1997, 1037, 27755, 1999, 3891, 1998, 5618, 1011, 2635, 2012, 3145, 3798, 1012, 6016, 1012, 5622, 16150, 10288, 3286, 7959, 15464, 3170, 27211, 6508, 13806, 1037, 2047, 5394, 1037, 4310, 2208, 3325, 12441, 1012, 2429, 2000, 19244, 5932, 2043, 2002, 2596, 2006, 10373, 2239, 2135, 1064, 2539, 7849, 16048, 1064, 2062, 2009, 2453, 2025, 2022, 4116, 2008, 2038, 3024, 2122, 10238, 2021, 2002, 2003, 1996, 2028, 6815, 1037, 10514, 9468, 2229, 3993, 7233, 2478, 1043, 7630, 13871, 16147, 2620, 2487, 1064, 2539, 7849, 16048, 1064, 2062, 2633, 3844, 2039, 4497, 1012, 1000, 2174, 1010, 2045, 2003, 2941, 2204, 4933, 1999, 2009, 1010, 2029, 3084, 2033, 2147, 2012, 15252, 2009, 1012, 2539, 1007, 16455, 11937, 7911, 2022, 12881, 4313, 2386, 1024, 1033, 1298, 22192, 15915, 1300, 29816, 29817, 29831, 1289, 14498, 17149, 1270, 23673, 25573, 29824, 23673, 25573, 22192, 1278, 14498, 15915, 25573, 1291, 23673, 15915, 1300, 29834, 29816, 23673, 1295, 15915, 14157, 1298, 14157, 29836, 1291, 14498, 1270, 23673, 25573, 29821, 17149, 19433, 1295, 15915, 1270, 23673, 29821, 25573, 29824, 17149, 14498, 15915, 1031, 1006, 1270, 23673, 1288, 22192, 17149, 18511, 1024, 5594, 1007, 3347, 5654, 8464, 4502, 2273, 10010, 2072, 12943, 8067, 7367, 15987, 12943, 8067, 7025, 1010, 5003, 2912, 7367, 28613, 1011, 19924, 14841, 23597, 14431, 9875, 2078, 4487, 3334, 9581, 1006, 12943, 8067, 11307, 17439, 18921, 2595, 18243, 24300, 2050, 1012, 12732, 7341, 2024, 2800, 3784, 1998, 2024, 2800, 2013, 10112, 5742, 12679, 1998, 12257, 8941, 1999, 1996, 16676, 2706, 1012, 2570, 4487, 3366, 21784, 2294, 7367, 12274, 2050, 2158, 24118, 15262, 14431, 21877, 4328, 8737, 2378, 4907, 4487, 17712, 11961, 4017, 17710, 23451, 7367, 12274, 2050, 21877, 4328, 8737, 2378, 1999, 2072, 9875, 2078, 4487, 5794, 3148, 1010, 4487, 6499, 2389, 1012, 2566, 11528, 3148, 4487, 16584, 5575, 7367, 28613, 4907, 16405, 25023, 17238, 7367, 28613, 1012, 2000, 3119, 7755, 10640, 12441, 7047, 1012, 2382, 2117, 16356, 6093, 12441, 7047, 8026, 2906, 19492, 1012, 1996, 4646, 2036, 3640, 2019, 4495, 2000, 5220, 4697, 2007, 20563, 9285, 3784, 1010, 2330, 11817, 1998, 17908, 2951, 19287, 1012, 2009, 1010, 8541 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1045, 2442, 2360, 1010, 2643, 5621, 3764, 2083, 2032, 2061, 6919, 2135, 4465, 2305, 1012, 1045, 1005, 1049, 2061, 7098, 1997, 2032, 1012, 1045, 2356, 2032, 2065, 2002, 2052, 4550, 2039, 2010, 3964, 1998, 4604, 2068, 2000, 2033, 2061, 1045, 2071, 2695, 2068, 2006, 2026, 9927, 1012, 2061, 1010, 2026, 4086, 9594, 11283, 2741, 2009, 2000, 2033, 2023, 2851, 1006, 2748, 1010, 2009, 2003, 4171, 2161, 1998, 2002, 2003, 2551, 1024, 1006, 1007, 2061, 1010, 1999, 1996, 2616, 1997, 1996, 2088, 1005, 1055, 2190, 8600, 1024, 1999, 8089, 1997, 2624, 6593, 3012, 1997, 2166, 2651, 1010, 1045, 2031, 2042, 2356, 2000, 3745, 2256, 2466, 1997, 12005, 1012, 2116, 1997, 2017, 2113, 2040, 12005, 2003, 1010, 2021, 2025, 2035, 1997, 2017, 2113, 2035, 1997, 2010, 2466, 1998, 2129, 2256, 2210, 2158, 2904, 2149, 5091, 1012, 1045, 1005, 2222, 2707, 2013, 12005, 1005, 1055, 2927, 1012, 2026, 2564, 1010, 7673, 1010, 1998, 1045, 2018, 2042, 2496, 2005, 1037, 2210, 2058, 2260, 2086, 1998, 2018, 2093, 3376, 2336, 2012, 1996, 2051, 1012, 2057, 2119, 2359, 2193, 1018, 2000, 2327, 2673, 2125, 1998, 2000, 1000, 3143, 1000, 2256, 2155, 1012, 2057, 2179, 2041, 2008, 2057, 2020, 6875, 1998, 2020, 2058, 24793, 2098, 1012, 2023, 2001, 1999, 2257, 2268, 1012, 6108, 1010, 6201, 1010, 1998, 28831, 2020, 2074, 2004, 7568, 2004, 2149, 1011, 2005, 1996, 2087, 2112, 1012, 18527, 1010, 2010, 2349, 3058, 2001, 2258, 5767, 1012, 7955, 2040, 4282, 2054, 1045, 2079, 2005, 1037, 2542, 2323, 2131, 1037, 5926, 2041, 1997, 2008, 1012, 2092, 1010, 2005, 1996, 2093, 2706, 2206, 1010, 1996, 10032, 2790, 2000, 2022, 27673, 2074, 2986, 1012, 2057, 2035, 2018, 4871, 1997, 2054, 2256, 2166, 2052, 2022, 2066, 2007, 2256, 2047, 2210, 1000, 21443, 1000, 1012, 7955, 2018, 15690, 2005, 2611, 3415, 1998, 2879, 3415, 1998, 2057, 2071, 2025, 3524, 2000, 2424, 2041, 2065, 2256, 2210, 3336, 2001, 5262, 1037, 2879, 2030, 1037, 2611, 1012, 2005, 1996, 2501, 1010, 1045, 2245, 2256, 3336, 2001, 1037, 2879, 1010, 2021, 2059, 2153, 1010, 1045, 2245, 2035, 2256, 2336, 2052, 2022, 3337, 1012, 2130, 2000, 1996, 2391, 1997, 2893, 1996, 27312, 16661, 2000, 4638, 3674, 2335, 2007, 28831, 1998, 11556, 2138, 1045, 2001, 2469, 2008, 2016, 2018, 4771, 2242, 1012, 1996, 2154, 2633, 2234, 2005, 2256, 2322, 1011, 2733, 27312, 1998, 2057, 2071, 2424, 2041, 2065, 2057, 2020, 2383, 1037, 2879, 2030, 1037, 2611, 1012, 2057, 2787, 2000, 3288, 1996, 4268, 2007, 2149, 1998, 2292, 2068, 2022, 2112, 1997, 2023, 2205, 1012, 2061, 7673, 8209, 1996, 25358, 2891, 1999, 1996, 2482, 1998, 5225, 2068, 2039, 2000, 2256, 3460, 1005, 1055, 2436, 1999, 8482, 1012, 1045, 2001, 2525, 2012, 2147, 1998, 2074, 2777, 2068, 2045, 1012, 2027, 2633, 2170, 2149, 2067, 2000, 1996, 27312, 2282, 1998, 2057, 2035, 13675, 27479, 1999, 2045, 2007, 2172, 11162, 1529, 1012, 1012, 1045, 2113, 2008, 2087, 2111, 2031, 1010, 2030, 2097, 2022, 1010, 2012, 1037, 2391, 1999, 2037, 2166, 2073, 2035, 2017, 2064, 2228, 1997, 2003, 1045, 4299, 1045, 2071, 2175, 2067, 2000, 1996, 2126, 2477, 2020, 2074, 2028, 3371, 3283, 1012, 2074, 3371, 3283, 1010, 2043, 1045, 2134, 1005, 1056, 2113, 2054, 1045, 2085, 2113, 1012, 2092, 1010, 2008, 2051, 2001, 2588, 2035, 1997, 2149, 1012, 2471, 3202, 2046, 1996, 27312, 7749, 2009, 2001, 3154, 2008, 2242, 2001, 2200, 3308, 1012, 2012, 2008, 2051, 1010, 1045, 2347, 1005, 1056, 2469, 2054, 2009, 2001, 1010, 2021, 13325, 2013, 1996, 27312, 16661, 1005, 1055, 1998, 7673, 1005, 1055, 4668, 1010, 1045, 2354, 2008, 2256, 3268, 2018, 2074, 2904, 5091, 1012, 2017, 2156, 1010, 12005, 2134, 1005, 1056, 2031, 2151, 2572, 27678, 4588, 8331, 1012, 2256, 3460, 2409, 2149, 2008, 2009, 2001, 2087, 3497, 2349, 2000, 1037, 3291, 2007, 2010, 14234, 2015, 1012, 2002, 2001, 2200, 11922, 1010, 2021, 2002, 4201, 2009, 2006, 1996, 2240, 1012, 2002, 2292, 2149, 2113, 2008, 2065, 1996, 3768, 1997, 2572, 27678, 4588, 8331, 2001, 2138, 1997, 1996, 14234, 2015, 1010, 2059, 12005, 2018, 1037, 4650, 2008, 2081, 2032, 1000, 2025, 11892, 2007, 2166, 1000, 1012, 2061, 2045, 2009, 2001, 1012, 7673, 1998, 1045, 2018, 2042, 2083, 1037, 2843, 2007, 2023, 3460, 2130, 2077, 2023, 1012, 2002, 2354, 7673, 1998, 2033, 1998, 2002, 2354, 2256, 4752, 1012, 2002, 2196, 2320, 2716, 2039, 1996, 5724, 1997, 23552, 1996, 10032, 1012, 2057, 2020, 2409, 2000, 2175, 2188, 1010, 2005, 7673, 2000, 2404, 2014, 2519, 2039, 2005, 1037, 3232, 1997, 2420, 1998, 4392, 7564, 1997, 20989, 1012, 1999, 1996, 2812, 2051, 1010, 2057, 2020, 5115, 2000, 2175, 2039, 2000, 25423, 2497, 2005, 1037, 2504, 1016, 27312, 2061, 1996, 7435, 2052, 3046, 2000, 22939, 26745, 3366, 2054, 2001, 2183, 2006, 1012, 2057, 2106, 2054, 2057, 2020, 2409, 1012, 2057, 2253, 2188, 1998, 2057, 4741, 1012, 2000, 2022, 7481, 2007, 2017, 1010, 2057, 2020, 3492, 15903, 1012, 2057, 2020, 3173, 2041, 3246, 2008, 2045, 2071, 2022, 2178, 7526, 2005, 1996, 3768, 1997, 2572, 27678, 4588, 8331, 1010, 2021, 1996, 2062, 2470, 2057, 2106, 1010, 1996, 2062, 1996, 4507, 2275, 1999, 2008, 2057, 2020, 2025, 2183, 2000, 2031, 12005, 2007, 2149, 2005, 2200, 2146, 1012, 2008, 2305, 2044, 2057, 2179, 2041, 2055, 12005, 1005, 1055, 4650, 1010, 2057, 2081, 1037, 3247, 2157, 2059, 1998, 2045, 1012, 2348, 2057, 2089, 2025, 2031, 12005, 2007, 2149, 2005, 2200, 2146, 1010, 2057, 2079, 2031, 2032, 2157, 2085, 1012, 2004, 2146, 2004, 2008, 2001, 2553, 1010, 2057, 2020, 2183, 2000, 2293, 2032, 1998, 5959, 2108, 2007, 2032, 1998, 2074, 24188, 4509, 1996, 2051, 2008, 2643, 2106, 2507, 2149, 1012, 2057, 2253, 2039, 1996, 25423, 2497, 1037, 3232, 2420, 2101, 1998, 2179, 2041, 2008, 12005, 2106, 5262, 2031, 3314, 2007, 1996, 2458, 1997, 2010, 14234, 2015, 1012, 2002, 2018, 26572, 22330, 10074, 14234, 2015, 2029, 10468, 2081, 2068, 2512, 1011, 12285, 1012, 1996, 25423, 2497, 3460, 1010, 2001, 2025, 3243, 2004, 1005, 1005, 11922, 1000, 2004, 2256, 3460, 1999, 8482, 1012, 2002, 2435, 2149, 1996, 14436, 2098, 1000, 2025, 11892, 2007, 2166, 1000, 11616, 1998, 2059, 2356, 2149, 2043, 2057, 2359, 2000, 2022, 5115, 2000, 20320, 2023, 10032, 1012, 2057, 2020, 2119, 3492, 2579, 2067, 2011, 1996, 10017, 3267, 1997, 2023, 5227, 1012, 2057, 2292, 2032, 2113, 2008, 18287, 2001, 2025, 2019, 5724, 2005, 2149, 1012, 2002, 9826, 2790, 12873, 21001, 1998, 2481, 1005, 1056, 3305, 2339, 2057, 2052, 3613, 2007, 1037, 10032, 2008, 2052, 2765, 1999, 2331, 1012, 2057, 2409, 2032, 2008, 2256, 3336, 2001, 2200, 2172, 4142, 2012, 2023, 2617, 1998, 2008, 2057, 2903, 1999, 1037, 2643, 2008, 2003, 3929, 5214, 1997, 8907, 2256, 2775, 2065, 2009, 2003, 1999, 2010, 2097, 1012, 2040, 2024, 2057, 2000, 2202, 2008, 5724, 2041, 1997, 2643, 1005, 1055, 2398, 1029, 1998, 2130, 2295, 2057, 2106, 2360, 2009, 1010, 1998, 2009, 2763, 2106, 2025, 2272, 2083, 2004, 1037, 5509, 2245, 2012, 2008, 2051, 1010, 2057, 2119, 2354, 2008, 2057, 2018, 3488, 2005, 2256, 3336, 2096, 2002, 2001, 2007, 2149, 999, 2174, 1010, 1045, 2514, 2066, 1045, 2342, 2000, 5587, 2008, 1996, 3460, 7420, 2149, 2008, 2183, 2083, 2023, 10032, 2302, 2572, 27678, 4588, 8331, 2052, 2022, 2200, 9145, 2005, 7673, 1998, 4298, 2005, 12005, 1012, 2057, 2018, 10287, 2055, 2065, 2057, 2020, 2108, 14337, 1998, 2074, 5128, 2125, 1996, 13418, 1012, 2057, 14283, 2055, 2009, 1998, 2106, 2070, 2062, 2470, 1998, 2009, 2106, 2025, 2202, 2146, 2012, 2035, 2077, 2057, 2020, 2119, 2012, 3521, 1998, 2354, 2008, 2057, 7078, 2081, 1996, 2157, 3247, 1012, 1998, 2005, 1996, 2501, 2045, 2003, 2053, 12407, 2008, 12005, 2001, 2412, 1999, 3255, 2030, 12812, 1012, 1996, 2279, 3232, 1997, 2706, 2020, 2428, 2066, 1037, 14819, 1998, 2440, 1997, 3816, 6699, 2005, 2256, 2155, 1012, 1045, 1005, 1049, 2025, 2183, 2000, 4133, 2039, 2182, 1998, 2360, 2008, 2673, 2001, 2307, 2013, 2008, 2154, 2006, 1012, 2009, 2001, 7823, 4355, 2051, 1999, 2256, 3268, 1012, 2057, 2020, 6015, 1010, 2057, 2020, 6517, 1010, 2057, 2020, 2130, 5506, 1012, 2045, 2020, 2335, 2043, 4000, 13230, 10350, 1998, 2411, 1012, 2045, 2020, 2335, 2043, 11162, 1997, 2054, 2001, 2000, 2272, 2371, 2066, 2009, 2001, 2205, 2172, 1012, 2021, 2009, 2347, 1005, 1056, 2066, 2008, 1996, 2878, 2051, 1012, 2045, 2020, 2204, 2335, 2205, 1012, 1999, 2755, 1010, 2559, 2067, 1010, 1998, 1045, 2113, 2009, 4165, 4689, 1010, 1045, 2156, 1037, 2843, 1997, 6569, 1999, 2008, 2051, 1998, 12005, 2001, 2112, 1997, 2149, 2296, 3357, 1997, 1996, 2126, 1012, 12005, 2165, 1037, 4440, 2000, 3509, 1010, 5632, 2116, 1010, 2116, 3841, 1004, 6128, 1005, 1055, 3256, 6949, 10268, 1011, 7967, 11865, 11818, 2829, 2666, 2001, 2010, 5440, 1011, 2061, 1045, 1005, 2310, 2042, 2409, 1012, 2002, 2036, 5632, 2116, 20704, 24755, 3527, 4977, 15890, 2015, 1012, 1045, 3984, 2045, 2003, 2053, 9529, 2005, 2070, 3336, 1005, 1055, 16958, 1012, 2002, 2001, 5720, 2000, 2035, 1996, 2051, 1010, 2363, 2204, 1011, 2305, 1998, 2204, 1011, 2851, 8537, 1998, 24459, 2013, 2010, 3428, 1998, 2905, 1012, 1998, 2130, 2288, 2046, 1037, 4586, 7384, 2954, 1012, 14337, 2135, 1010, 2070, 1997, 2026, 5440, 2335, 2020, 2012, 2305, 2043, 1996, 2060, 4268, 2020, 1999, 2793, 1010, 1045, 2052, 2131, 1037, 3382, 2000, 2831, 2000, 2032, 1998, 16356, 2571, 2032, 2083, 7673, 1005, 1055, 10722, 18879, 1012, 2043, 2045, 2003, 2025, 2151, 2572, 27678, 4588, 8331, 1010, 2009, 2003, 3733, 2000, 2425, 2129, 1996, 3336, 2003, 10959, 1012, 4312, 1010, 1045, 2052, 16356, 2571, 2010, 2210, 7632, 5420, 1998, 2002, 2052, 2074, 5490, 10179, 10867, 2035, 2105, 1012, 2320, 2296, 2093, 3134, 2030, 2061, 1010, 2057, 2036, 2020, 2583, 2000, 2031, 2019, 27312, 1012, 2085, 1045, 2113, 2008, 1996, 27312, 2001, 2025, 4072, 1010, 2021, 1045, 2228, 2009, 2001, 7673, 1005, 1055, 3460, 1005, 1055, 2126, 1997, 5094, 2149, 2129, 2412, 2002, 2071, 1012, 2023, 2001, 2785, 1997, 2066, 2256, 2227, 1011, 2000, 1011, 2227, 2051, 2007, 12005, 1012, 1996, 27312, 6627, 2001, 2061, 4895, 8671, 2666, 3567, 6321, 4086, 1012, 2016, 2018, 1037, 2126, 1997, 10917, 2087, 27312, 2015, 2061, 2008, 2027, 6354, 3429, 2781, 2000, 2019, 3178, 1012, 2130, 2295, 2057, 2409, 2014, 2129, 2172, 2054, 2016, 2106, 3214, 2000, 2149, 1010, 1045, 2123, 1005, 1056, 2228, 2016, 2071, 4298, 5382, 2054, 1037, 13301, 2016, 2001, 2000, 2149, 1012, 1998, 2083, 2035, 1997, 2023, 1010, 1045, 2052, 2074, 2228, 2000, 2870, 1010, 1000, 2129, 1999, 1996, 2088, 2071, 2057, 20320, 1037, 3336, 2040, 2001, 2061, 2172, 2112, 1997, 2256, 3268, 1029, 1000, 2006, 4465, 1010, 2337, 2538, 1010, 2230, 1012, 2057, 2018, 2000, 5481, 7673, 2000, 1996, 2902, 1012, 2009, 2001, 2054, 2003, 3615, 2000, 2004, 1037, 11601, 4013, 2721, 29251, 1012, 2023, 2003, 10468, 2043, 1996, 11601, 3310, 2041, 2077, 1996, 3336, 1012, 5373, 1010, 7673, 1005, 1055, 2300, 2052, 2031, 3714, 1998, 2057, 2052, 2031, 2018, 2070, 2785, 1997, 3696, 2008, 2016, 2001, 1999, 4450, 1012, 2021, 2007, 2053, 2572, 27678, 4588, 8331, 1010, 2045, 2001, 2053, 2300, 2000, 1000, 3338, 1000, 1012, 2027, 11441, 1996, 3291, 1999, 9553, 1998, 6760, 2014, 2011, 10771, 2000, 8482, 1012, 1996, 2051, 2018, 2272, 2000, 3113, 12005, 2227, 2000, 2227, 1998, 1010, 2057, 2354, 1010, 2000, 2360, 9119, 2000, 2032, 1012, 12005, 2001, 2141, 3081, 1039, 1011, 2930, 1999, 8482, 2012, 2055, 1018, 1024, 4002, 1012, 2002, 3202, 2363, 1037, 2210, 2966, 2393, 1998, 2246, 2066, 2002, 2001, 2667, 2000, 8320, 2070, 3997, 1012, 2002, 2018, 2525, 5281, 2061, 2172, 1999, 2010, 2460, 2166, 1010, 1045, 3984, 2002, 2354, 2008, 2002, 2018, 1037, 2261, 2062, 2477, 2187, 2000, 2079, 1012, 2076, 2087, 1997, 2023, 2051, 1010, 7673, 2001, 1999, 7233, 1998, 2145, 2106, 2025, 2031, 1037, 3382, 2000, 2156, 12005, 2664, 1012, 2061, 2043, 2016, 2001, 2041, 1997, 7233, 1010, 12005, 2288, 2000, 2202, 1037, 3328, 2007, 2074, 2032, 1998, 8600, 1011, 1037, 3328, 2008, 1045, 2097, 5091, 24188, 4509, 1012, 2002, 2288, 2000, 3113, 6108, 1010, 6201, 1998, 28831, 3123, 1998, 2514, 2037, 3543, 1998, 2963, 2037, 5755, 1012, 1998, 2002, 2288, 2717, 1999, 2010, 9588, 1005, 1055, 2849, 1998, 2514, 2014, 8537, 1012, 12005, 2253, 2000, 6014, 2008, 2154, 1010, 1037, 3232, 2847, 2044, 2002, 2001, 2141, 2096, 2002, 2001, 2157, 2045, 1999, 2010, 9588, 1005, 1055, 2608, 1012, 12005, 2973, 2019, 5186, 2724, 3993, 2166, 2005, 1037, 2200, 2460, 3815, 1997, 2051, 1998, 2002, 2354, 2498, 1997, 3480, 2030, 3255, 1012, 2002, 2069, 2354, 2293, 1012, 1998, 2057, 2179, 2282, 1999, 2256, 8072, 2005, 2130, 2062, 2293, 2138, 1997, 2032, 1012, 2183, 2067, 2000, 2008, 2154, 2012, 25423, 2497, 1045, 3685, 6638, 23393, 1996, 6061, 1997, 10549 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4080, 7987, 20175, 8237, 2102, 2038, 7283, 2351, 1523, 1997, 3019, 5320, 1524, 2012, 1996, 2287, 1997, 4724, 1012, 2054, 2515, 2009, 2812, 2000, 3280, 1523, 1997, 3019, 5320, 1524, 2012, 4724, 1029, 2023, 2003, 14726, 2739, 1012, 2017, 2471, 4687, 2065, 2009, 1521, 1055, 2070, 4066, 1997, 28520, 1010, 2445, 2010, 8066, 2004, 1037, 26418, 6238, 1012, 2008, 2001, 2019, 4854, 2402, 2158, 1012, 1045, 3246, 2002, 2038, 3521, 2085, 1012, 10651, 1024, 2204, 9940, 1010, 2073, 2003, 1996, 11703, 11916, 1029, 5487, 1061, 17125, 7951, 1010, 1997, 2035, 2111, 1010, 1056, 28394, 3064, 1024, 1523, 12472, 2105, 2757, 2111, 2024, 9951, 1012, 1996, 2088, 17680, 2003, 3621, 5301, 2007, 1030, 4080, 23736, 3388, 8237, 2102, 2757, 1012, 1524, 1045, 2481, 1521, 1056, 3233, 2070, 1997, 2054, 7987, 20175, 8237, 2102, 2106, 1010, 1998, 6367, 3056, 1997, 2010, 28465, 2006, 2023, 9927, 1012, 2021, 2935, 2031, 8673, 1010, 1037, 4724, 2095, 2214, 2158, 3333, 2757, 1998, 2187, 1037, 7794, 1998, 2176, 2269, 3238, 2336, 1012, 2002, 2001, 1037, 4013, 6767, 16280, 3126, 1010, 2025, 1037, 4735, 1012, 1996, 2518, 7987, 20175, 8237, 2102, 4265, 2013, 2003, 1996, 2168, 2518, 1061, 17125, 7951, 2182, 17567, 2013, 1010, 2029, 2003, 1996, 2518, 2205, 2116, 1997, 2149, 9015, 2013, 1024, 2437, 13165, 2062, 2590, 2084, 3937, 2529, 11703, 11916, 1012, 3041, 2023, 2733, 1045, 2128, 1011, 3191, 2035, 1997, 1996, 14739, 2015, 2006, 2026, 2214, 6772, 7159, 9927, 2383, 2000, 2079, 2007, 2026, 2905, 7920, 2666, 1521, 1055, 11616, 1997, 11192, 4456, 2012, 4601, 1012, 2008, 2724, 6573, 2033, 4257, 1012, 2128, 1011, 3752, 2122, 8466, 2001, 2019, 6581, 2126, 2000, 2707, 15307, 1010, 2138, 2027, 6966, 2033, 1997, 2129, 2521, 1045, 1521, 2310, 15926, 2098, 2013, 1996, 2477, 1045, 2387, 1998, 4342, 2076, 2216, 9643, 2420, 1012, 2009, 2453, 2079, 2017, 2070, 2204, 2000, 2128, 1011, 3191, 1037, 3232, 1997, 2068, 1012, 2065, 2017, 1521, 2128, 4699, 1010, 2202, 1037, 2298, 2917, 1996, 5376, 1012, 9432, 2337, 2324, 2067, 2188, 1999, 1996, 2406, 2013, 1037, 2146, 2154, 2012, 1996, 2902, 1012, 1996, 2773, 2013, 1996, 2006, 25778, 22522, 2001, 3492, 11844, 1012, 7920, 2666, 2003, 1999, 2754, 2176, 1012, 2027, 6760, 7920, 2666, 2046, 8249, 7242, 2012, 2320, 2044, 2002, 3191, 2014, 6745, 27011, 3463, 1012, 2057, 2031, 2000, 3246, 1998, 11839, 2027, 2064, 7324, 2041, 1996, 4456, 1999, 2014, 4167, 2061, 2027, 2064, 2707, 2007, 27144, 2000, 2147, 2006, 1996, 4456, 6974, 1012, 1996, 2006, 25778, 22522, 2001, 14648, 2011, 2129, 9376, 2023, 4456, 2003, 1012, 2274, 3134, 3283, 1010, 2045, 2001, 20071, 1037, 3696, 1997, 2023, 2006, 2014, 27011, 1012, 1998, 2085, 1010, 2009, 1521, 1055, 1999, 1037, 2193, 1997, 3182, 1012, 1045, 4299, 1045, 2018, 1996, 2616, 2000, 4671, 2129, 9191, 2026, 2905, 2003, 1012, 1045, 4339, 2023, 2083, 4000, 3892, 1517, 4000, 2025, 1997, 12039, 2005, 2014, 1010, 2295, 2643, 4282, 2008, 1521, 1055, 2045, 1010, 2021, 4000, 1997, 17005, 1012, 2040, 2426, 2149, 2071, 2131, 2107, 2739, 2651, 1010, 1998, 10509, 2007, 2107, 2130, 2791, 1029, 2025, 2033, 1012, 2016, 17806, 2000, 2014, 3129, 1010, 3038, 5238, 1010, 1523, 1045, 1521, 1049, 3374, 1010, 1045, 2001, 5327, 2005, 2488, 2739, 1012, 1524, 2101, 1999, 1996, 2154, 1010, 1045, 3764, 2007, 2852, 1012, 5199, 17518, 1010, 2014, 14246, 1010, 1998, 2057, 5720, 2055, 2129, 26137, 2135, 26103, 2016, 1521, 1055, 2042, 2802, 2023, 2460, 1010, 6659, 23304, 1012, 2002, 2253, 2006, 2055, 2129, 2016, 1521, 1055, 2025, 2359, 2000, 5342, 2013, 2505, 1010, 1998, 2129, 2016, 1521, 1055, 2007, 16033, 7716, 23512, 13783, 2302, 26690, 1012, 2852, 1012, 5199, 1998, 1045, 3530, 2008, 2045, 2003, 2242, 26106, 2055, 1996, 7409, 2016, 1521, 1055, 4760, 2000, 1996, 2717, 1997, 2149, 1010, 1999, 2129, 2000, 9015, 1012, 2002, 2056, 2008, 2174, 2146, 2016, 2038, 2000, 2444, 1010, 3251, 2009, 1521, 1055, 3134, 2030, 2086, 2030, 5109, 1010, 2014, 2336, 2097, 2467, 3342, 1996, 8424, 2104, 2543, 1517, 27299, 1521, 1055, 6210, 1997, 4519, 1517, 2008, 2037, 2388, 3662, 1999, 2122, 2420, 1012, 2021, 2017, 2113, 1010, 2016, 1521, 1055, 2025, 1996, 2069, 2028, 1012, 1045, 2572, 5580, 2017, 2020, 2025, 2045, 1999, 1996, 2902, 2651, 2043, 7920, 2666, 1998, 3505, 2409, 2037, 3057, 1996, 2739, 1012, 2017, 2064, 5674, 2129, 27724, 2075, 2009, 2001, 2005, 3071, 1012, 1998, 2664, 1010, 1996, 2617, 2979, 1012, 1996, 2336, 1521, 1055, 2269, 1010, 3505, 1010, 2003, 11878, 2524, 1010, 2021, 2002, 1521, 1055, 2036, 3173, 2039, 2010, 2210, 2155, 1012, 2023, 2003, 1996, 2158, 2040, 2288, 1996, 4421, 2732, 1999, 5712, 2005, 1996, 9788, 2147, 2002, 2106, 4637, 3507, 3629, 28961, 2135, 1012, 2002, 2003, 22148, 3886, 1012, 2122, 2093, 3057, 1517, 8410, 1010, 6249, 1998, 2128, 24597, 4430, 1517, 2024, 25537, 2011, 9940, 1010, 2021, 2027, 2024, 2036, 8320, 2075, 2000, 2037, 2388, 1521, 1055, 2217, 1012, 1996, 2126, 2008, 2155, 2003, 2746, 2362, 2005, 2169, 2060, 2085, 2003, 2061, 3376, 1998, 13433, 25593, 2009, 13403, 2000, 2298, 2012, 2009, 1010, 2021, 2017, 2064, 1521, 1056, 2298, 2185, 2138, 2045, 2003, 1037, 10800, 1999, 3606, 1998, 2293, 1010, 1998, 5262, 1999, 2166, 1010, 2652, 2041, 2005, 2149, 2035, 1012, 2065, 2017, 2123, 1521, 1056, 2903, 1999, 2293, 1010, 2017, 2323, 2272, 2000, 2256, 3203, 1997, 1996, 2697, 2902, 1010, 1998, 2000, 2023, 2451, 1010, 2000, 2156, 2054, 1045, 1521, 1049, 3773, 1012, 1045, 2180, 1521, 1056, 2130, 2707, 10328, 1996, 2111, 2040, 2031, 8542, 3209, 2041, 2005, 2149, 1010, 2138, 1045, 1521, 1049, 4452, 1045, 1521, 2222, 5293, 8307, 1012, 2065, 2017, 2064, 3648, 1037, 2711, 2011, 1996, 3737, 1998, 13347, 1997, 2037, 2814, 1010, 2059, 7543, 7920, 2666, 1998, 3505, 2024, 2426, 1996, 10418, 2111, 1999, 1996, 2088, 1012, 2543, 20027, 2814, 1010, 2120, 3457, 2814, 1010, 2082, 24741, 2814, 1010, 2155, 2372, 1010, 10638, 1517, 2035, 5094, 1010, 2035, 8295, 1010, 2035, 3038, 1010, 1999, 2037, 2219, 2126, 1010, 2054, 2079, 2017, 2342, 1029, 2054, 2064, 2057, 2079, 1029, 2292, 2149, 2393, 2017, 2083, 2023, 1010, 3531, 1012, 2130, 1996, 11500, 1999, 2023, 3358, 1997, 1996, 2902, 2288, 2362, 1998, 4149, 1996, 2210, 3057, 7534, 1010, 1998, 2409, 2068, 1010, 2272, 2831, 2000, 2149, 15933, 1012, 1037, 6821, 2315, 16883, 3981, 2003, 1996, 3078, 6821, 11922, 2005, 2026, 2905, 1010, 1998, 2298, 1010, 2044, 2069, 2093, 2420, 1010, 2016, 1521, 1055, 2066, 1037, 2266, 1997, 1996, 2155, 1012, 2428, 1998, 5621, 1012, 2026, 2388, 10308, 2014, 1998, 4782, 2014, 2006, 1996, 2126, 2188, 3892, 1012, 2043, 2057, 2288, 2188, 1010, 2045, 2001, 3403, 2005, 2149, 2019, 12696, 4407, 2814, 2018, 11585, 2098, 2149, 1024, 2358, 1012, 7920, 1998, 2358, 1012, 12806, 1010, 1523, 2005, 2115, 7920, 2666, 1012, 1524, 1045, 3662, 2009, 2000, 2026, 3611, 1010, 2040, 24966, 2008, 12358, 2052, 2079, 2023, 2005, 2149, 1012, 2129, 2003, 2009, 2008, 2111, 2040, 4510, 2130, 2113, 2149, 2064, 2022, 2061, 2204, 2000, 2149, 1029, 7920, 2666, 1521, 1055, 6114, 2003, 4214, 5743, 2035, 2023, 2293, 1012, 3892, 2004, 1045, 4782, 2014, 1998, 2409, 2014, 22708, 1010, 2016, 2409, 2033, 2129, 2172, 2016, 3866, 3773, 2033, 2131, 3553, 2000, 2014, 3057, 1012, 1045, 1521, 2310, 2196, 2018, 1996, 4495, 2000, 5247, 2172, 2051, 2007, 2068, 1010, 2138, 2256, 7879, 2182, 1999, 1996, 2627, 2031, 2042, 2061, 2460, 1012, 2023, 2003, 1037, 2235, 2518, 1010, 2021, 2025, 1037, 20610, 2028, 1012, 2643, 4282, 2057, 2052, 2035, 2738, 2023, 2452, 3413, 2011, 7920, 2666, 1010, 2021, 2009, 2442, 2022, 2056, 2008, 2130, 2004, 4768, 7457, 1010, 1996, 2422, 7457, 2008, 2172, 2062, 1012, 1045, 3191, 2023, 2695, 1010, 1998, 1045, 2228, 2009, 2442, 2614, 2066, 1045, 1521, 1049, 6832, 1010, 1998, 10201, 1996, 23069, 3012, 2006, 4317, 1010, 2138, 2057, 1521, 2128, 2183, 2083, 1037, 6911, 3993, 2051, 1012, 2066, 1045, 2056, 1010, 1045, 2123, 1521, 1056, 2215, 2000, 6848, 2023, 1999, 6987, 1010, 2138, 1045, 4033, 1521, 1056, 2464, 2673, 1010, 2021, 1045, 2097, 2292, 2028, 2742, 3713, 2005, 1996, 2785, 1997, 2518, 2057, 1521, 2128, 24740, 2182, 1012, 7920, 2666, 1521, 1055, 2236, 18742, 1010, 2004, 1045, 1521, 2310, 2056, 1010, 2003, 2852, 1012, 5199, 17518, 1010, 3183, 2016, 2211, 2000, 2156, 2012, 1996, 2927, 1997, 2023, 23304, 1999, 2254, 1012, 5199, 2003, 1037, 2334, 3124, 2040, 2513, 2000, 2358, 1012, 4557, 3077, 2000, 2275, 2039, 1037, 2966, 3218, 2007, 2010, 2767, 1010, 2852, 1012, 15775, 8591, 2666, 3817, 1012, 2054, 2785, 1997, 2402, 7435, 2024, 2122, 1010, 1998, 2054, 2785, 1997, 2237, 2003, 2023, 1029, 2298, 2012, 2023, 28142, 2013, 1037, 2384, 2047, 2259, 2335, 3720, 2055, 2129, 2358, 1012, 4557, 3077, 3706, 2039, 2000, 2393, 16864, 8711, 2040, 3662, 2039, 1999, 2237, 1024, 2012, 5965, 1521, 1055, 13882, 1010, 1996, 2610, 6467, 3856, 2039, 1996, 21628, 2005, 8110, 20422, 2015, 2005, 1996, 2733, 2127, 1037, 3192, 2165, 2058, 1012, 1996, 5305, 2357, 2000, 1996, 21459, 2047, 9349, 1997, 15775, 8591, 2666, 1052, 1012, 3817, 1998, 10805, 1054, 1012, 17518, 1010, 2402, 2155, 7435, 1012, 1523, 3071, 2001, 2464, 1010, 1524, 2852, 1012, 17518, 2056, 1012, 1523, 1999, 2244, 2057, 2387, 5539, 9345, 10841, 10285, 1012, 1997, 1996, 5539, 1010, 2055, 2431, 2071, 2025, 3477, 1998, 2018, 2053, 5427, 1012, 2005, 1996, 2087, 2112, 2027, 2020, 2111, 2770, 2041, 1997, 20233, 2030, 11303, 4652, 3512, 2729, 1010, 9410, 13625, 1010, 8915, 5794, 2271, 1010, 28389, 1012, 1524, 2852, 1012, 3817, 2056, 1010, 1523, 2057, 5845, 2695, 25918, 8082, 2111, 1012, 1524, 2028, 3203, 2018, 2018, 2048, 5042, 2999, 4466, 2847, 3041, 1012, 1523, 2016, 2018, 2053, 3582, 2039, 1010, 1524, 2002, 2056, 1012, 1523, 2016, 2234, 1999, 1999, 1037, 13204, 1012, 2057, 2018, 1037, 3203, 2007, 11325, 6090, 16748, 10450, 7315, 1010, 1999, 1037, 2843, 1997, 3255, 1012, 2016, 5791, 2052, 2031, 3223, 1037, 2902, 1012, 2016, 2359, 2000, 4875, 2000, 2624, 3799, 1012, 2057, 2246, 2039, 1037, 3460, 1999, 2624, 3799, 1010, 1998, 2016, 2018, 5970, 1996, 2279, 2154, 1012, 1524, 2004, 2005, 1996, 10504, 1010, 2852, 1012, 17518, 2056, 1024, 1523, 2057, 2031, 2921, 2650, 1997, 2009, 2004, 2436, 8964, 1012, 2057, 2097, 2763, 2735, 1999, 2070, 5571, 2000, 10768, 2863, 1010, 2021, 2057, 2123, 1521, 1056, 2113, 2065, 2057, 2097, 2022, 3825, 1012, 1524, 5199, 1998, 2010, 2564, 6874, 2024, 8135, 3161, 2007, 1996, 2402, 2166, 2177, 1999, 2237, 1010, 2000, 2029, 2026, 12286, 8410, 7460, 1012, 2619, 2013, 2237, 2040, 2234, 2011, 2000, 3942, 1996, 2902, 2651, 2056, 1010, 1523, 2821, 1010, 2017, 2064, 1521, 1056, 5674, 2129, 5341, 2057, 2024, 2000, 2031, 5199, 1999, 2237, 1012, 1524, 1045, 2113, 2008, 5199, 2038, 2042, 2019, 11757, 23674, 3747, 2006, 7920, 2666, 1998, 3071, 1999, 2026, 2155, 2083, 2023, 1012, 2002, 1521, 1055, 2445, 2068, 1996, 5592, 1997, 2051, 1998, 3086, 1010, 2130, 2044, 2847, 1012, 2017, 2963, 1996, 3441, 2055, 2023, 3124, 1998, 2010, 15398, 1010, 1998, 2017, 2064, 1521, 1056, 2903, 2027, 2191, 7435, 2066, 2023, 4902, 1012, 2021, 2045, 2002, 2003, 1529, 1998, 2045, 2002, 2001, 2651, 1010, 2035, 2416, 1011, 3329, 1011, 2176, 1997, 2032, 1010, 2043, 1045, 2288, 2067, 2013, 2635, 1037, 3328, 2007, 2026, 3566, 1012, 2002, 2018, 2042, 2006, 1996, 3042, 2007, 1996, 2006, 25778, 22522, 1010, 1998, 2001, 5251, 1998, 12246, 9990, 2054, 2009, 2035, 2965, 2000, 2149, 2648, 7920, 2666, 1521, 1055, 2282, 1012, 2059, 2002, 2253, 2046, 7920, 2666, 1521, 1055, 2282, 2000, 2831, 2000, 2014, 2336, 1010, 2040, 2020, 2145, 25348, 1012, 1045, 2123, 1521, 1056, 2113, 2054, 2002, 2056, 2000, 2068, 1010, 2021, 2044, 2002, 2187, 1010, 2027, 2020, 3100, 1012, 2077, 2002, 2187, 1010, 2002, 10308, 8410, 1010, 2435, 2014, 2010, 2797, 3526, 9864, 2193, 1010, 1998, 2409, 2014, 2065, 2412, 2016, 2001, 6015, 2005, 2014, 3566, 2030, 2734, 2000, 2831, 1010, 2130, 2065, 2009, 2001, 1999, 1996, 2690, 1997, 1996, 2305, 1010, 2000, 2074, 2655, 1012, 1523, 2431, 1996, 2237, 2038, 5199, 1521, 1055, 3167, 3526, 3042, 2193, 1010, 1524, 2619, 2409, 2033, 2101, 1012, 1523, 2008, 1521, 1055, 2074, 1996, 2785, 1997, 3460, 2002, 2003, 1012, 1524, 1045, 2939, 2041, 2007, 2032, 2000, 1996, 5581, 7381, 2000, 2425, 2032, 2129, 2172, 2010, 2729, 2005, 7920, 2666, 1998, 2014, 2155, 3214, 2000, 2035, 1997, 2149, 1010, 1998, 2054, 1037, 7216, 2009, 2001, 2108, 2061, 2521, 2185, 1999, 4407, 2000, 2963, 2013, 2026, 3008, 2035, 1996, 2051, 2129, 3647, 2027, 2035, 2371, 1999, 2010, 2729, 1012, 2002, 2001, 2200, 10754, 2055, 2009, 2035, 1010, 1998, 2056, 2008, 2023, 2003, 1996, 14293 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2074, 2066, 2214, 2335, 2074, 2066, 2214, 2335, 2003, 1037, 8297, 2000, 9062, 6636, 1012, 9062, 6636, 2064, 2022, 2179, 1999, 1996, 4079, 1998, 4079, 3075, 1012, 1996, 2048, 2273, 6780, 2130, 8736, 2046, 1996, 14568, 1010, 2066, 16489, 21779, 2046, 2037, 10986, 1012, 14599, 1010, 1996, 2601, 2305, 1010, 2004, 2092, 2004, 2037, 2601, 5929, 1998, 1996, 21956, 6773, 2006, 2037, 5344, 1010, 2081, 2005, 2204, 3104, 1012, 1996, 12908, 2979, 2306, 2093, 2519, 1997, 1996, 2273, 2302, 2412, 2108, 5204, 1997, 2037, 3739, 1012, 1996, 2273, 2815, 2073, 2027, 2020, 2127, 1996, 13496, 1005, 7239, 1998, 6579, 24691, 8105, 1999, 1996, 3292, 1012, 6174, 4079, 15151, 3123, 2013, 1996, 5747, 2002, 1005, 1040, 11529, 2094, 2046, 1012, 2002, 10757, 3254, 2000, 1996, 2187, 1998, 2059, 2000, 1996, 2157, 1012, 1000, 20277, 2480, 1010, 2008, 2001, 2485, 1012, 1000, 6174, 1005, 1055, 3920, 2567, 6003, 2013, 2010, 2219, 6318, 3962, 1012, 12489, 1012, 1998, 1996, 2279, 2051, 2017, 2064, 2031, 1996, 4365, 3123, 5747, 1012, 1000, 1037, 1012, 1046, 1012, 26961, 20780, 1996, 28408, 2013, 2010, 2369, 2007, 1037, 21384, 5390, 1997, 1000, 15068, 2818, 999, 1000, 2002, 28098, 2012, 6174, 1999, 1996, 4768, 1012, 1000, 1998, 8046, 2115, 1055, 13542, 7999, 1012, 1000, 1037, 1012, 1046, 1012, 2134, 1005, 1056, 2031, 2000, 2022, 2583, 2000, 4415, 2156, 2010, 2567, 1005, 1055, 2227, 1010, 2000, 2022, 2583, 2000, 5107, 4697, 1996, 3670, 1997, 16903, 12660, 2008, 6817, 6174, 1005, 1055, 2838, 1012, 1996, 8855, 5251, 15113, 2094, 2010, 20378, 13690, 1012, 1000, 2748, 1010, 2017, 1012, 2009, 1005, 1055, 2025, 6057, 1012, 2023, 2003, 3599, 1996, 2785, 1997, 2518, 1045, 2134, 1005, 1056, 3335, 2055, 2108, 1037, 1052, 1012, 1045, 1012, 1000, 1000, 22091, 1010, 1037, 1012, 1046, 1012, 1010, 8046, 2115, 13673, 2378, 1005, 1998, 13001, 2378, 1005, 1012, 2017, 1005, 2222, 2444, 1012, 4661, 1010, 2023, 17704, 4933, 2003, 2054, 3084, 1996, 3105, 4569, 1012, 1000, 2077, 1037, 1012, 1046, 1012, 2071, 5675, 2618, 1037, 12949, 4629, 7514, 1010, 6174, 14275, 2091, 1998, 2743, 2005, 1996, 3420, 1997, 1996, 2160, 2279, 2341, 1012, 1996, 8855, 2158, 2628, 2012, 2010, 2567, 1005, 1055, 8265, 1012, 2027, 3030, 1037, 2617, 2096, 6174, 10757, 2046, 1996, 25145, 16125, 1997, 1996, 2601, 2160, 1012, 1000, 2017, 2113, 2054, 2115, 3291, 2003, 1029, 1000, 6174, 3990, 1012, 1000, 2053, 1012, 1045, 2123, 1005, 1056, 1010, 1000, 1037, 1012, 1046, 1012, 4660, 1999, 2019, 8053, 4251, 4309, 1012, 1000, 2021, 1045, 6814, 2017, 1005, 2128, 2183, 2000, 2425, 2033, 1012, 1000, 6174, 1005, 1055, 2132, 3368, 4218, 1996, 3021, 1997, 2010, 2510, 21356, 6178, 1012, 1000, 1045, 2572, 1012, 2115, 3291, 2003, 2017, 2288, 3730, 4133, 7629, 1005, 2039, 2045, 1999, 2008, 2152, 7011, 7630, 7629, 5160, 1005, 1055, 2436, 1999, 5862, 1012, 2017, 9471, 2129, 2000, 4897, 2007, 1996, 17957, 1012, 1000, 1000, 1045, 1005, 1049, 2025, 3730, 1012, 1998, 1045, 2134, 1005, 1056, 5293, 2129, 2000, 4897, 2007, 1996, 17957, 1012, 1045, 1005, 1049, 2074, 1012, 1012, 1012, 1037, 2261, 2086, 3080, 2084, 1045, 2001, 1996, 2197, 2051, 2028, 1997, 2115, 4408, 4784, 3303, 2033, 2000, 11529, 2005, 3104, 1999, 1037, 3123, 5747, 1012, 1000, 1000, 7110, 1005, 1056, 2026, 3291, 2017, 3856, 1996, 3308, 5747, 1010, 2210, 2567, 1012, 1000, 1037, 1012, 1046, 1012, 2584, 2105, 1998, 2766, 2178, 16337, 2013, 2010, 3744, 13681, 19379, 2361, 1012, 1000, 2292, 1005, 1055, 2074, 2131, 2023, 2058, 2007, 2077, 2505, 2842, 6433, 1045, 1005, 1049, 2183, 2000, 2424, 9145, 1012, 1000, 1000, 2204, 2801, 1012, 2045, 1005, 1055, 1996, 7381, 1012, 2065, 13675, 13832, 2140, 1005, 1055, 2157, 1010, 1996, 3871, 8328, 2323, 2022, 2369, 2009, 1012, 1000, 1037, 1012, 1046, 1012, 3887, 2039, 2012, 1996, 22689, 1010, 2048, 2466, 5318, 5336, 2002, 1998, 6174, 2020, 4508, 2114, 1012, 1000, 1996, 2160, 2003, 2601, 1012, 2012, 2560, 2002, 2001, 6149, 2043, 2002, 2409, 2149, 17754, 1998, 2010, 2564, 2052, 2022, 2041, 2005, 1996, 3944, 1012, 1000, 1000, 3544, 2000, 2022, 1010, 1000, 6174, 5238, 3530, 1012, 1000, 2272, 2006, 1012, 2292, 1005, 1055, 2191, 1037, 2448, 2005, 1996, 2067, 1997, 1996, 7381, 1012, 2065, 2057, 2131, 2008, 2521, 2302, 2151, 1997, 1996, 10638, 22624, 2149, 2057, 2323, 2022, 2188, 2489, 1012, 13675, 13832, 2140, 2056, 1996, 8638, 2008, 18600, 2023, 3200, 2013, 1996, 3124, 1999, 1996, 2067, 2003, 2698, 2519, 2152, 1012, 2053, 2028, 2097, 2156, 2149, 2175, 2046, 1996, 8328, 1012, 2057, 1005, 2222, 2022, 3139, 2011, 1996, 7381, 1999, 1996, 2392, 1998, 1996, 8638, 1999, 1996, 2067, 1012, 1000, 1037, 1012, 1046, 1012, 4508, 1037, 13764, 2006, 2010, 7223, 18866, 1010, 4786, 1037, 3730, 2422, 2000, 2272, 2006, 1012, 1000, 2009, 1005, 1055, 2471, 5408, 4228, 1012, 2057, 1005, 1040, 2488, 2131, 1037, 2693, 2006, 1012, 2045, 1005, 1055, 2053, 4129, 2043, 2122, 2111, 2453, 5630, 2000, 2272, 2188, 2013, 11210, 2027, 2024, 1012, 1000, 1000, 15629, 23427, 1012, 2027, 7141, 2000, 2070, 2252, 2008, 6010, 2320, 1037, 3204, 2000, 2202, 4332, 15629, 23427, 1999, 2169, 2060, 1005, 1055, 12679, 1012, 1000, 1000, 6174, 1012, 1012, 1012, 17754, 1998, 2010, 2564, 2024, 3566, 1005, 1055, 2287, 2065, 2027, 1005, 2128, 1037, 2154, 1012, 1000, 2357, 1998, 13179, 1037, 6548, 4509, 9522, 2012, 2010, 2567, 1012, 1000, 1045, 2113, 1012, 17704, 3084, 2017, 4687, 2054, 3566, 2515, 1999, 2014, 8622, 2051, 1010, 2987, 1005, 1056, 2009, 1029, 1000, 1000, 2053, 1010, 2009, 2987, 1005, 1056, 1012, 1000, 1037, 1012, 1046, 1012, 2743, 2369, 2010, 2567, 2004, 6174, 18198, 2005, 1996, 2067, 1997, 1996, 7381, 1012, 2027, 9764, 2098, 1996, 3341, 1997, 1996, 14234, 5044, 5742, 4770, 1010, 1998, 2007, 2035, 1996, 14375, 3012, 1997, 4386, 7576, 2431, 2037, 5535, 25308, 2094, 1999, 1998, 2041, 1997, 1996, 10168, 7390, 4193, 1996, 4770, 2077, 11632, 2075, 1037, 16764, 3509, 3608, 1012, 2306, 3823, 1996, 2048, 2273, 3369, 2012, 2037, 7688, 1012, 1000, 1998, 2074, 2054, 2079, 2017, 2812, 2011, 2008, 4312, 1029, 1000, 1000, 2821, 1010, 24218, 1005, 2569, 1012, 2074, 2562, 1999, 2568, 1010, 2210, 2567, 1010, 2008, 2017, 1005, 2310, 2042, 2908, 2274, 2086, 1012, 2111, 7166, 2000, 9878, 2047, 7570, 27982, 1999, 2008, 3815, 1997, 2051, 1010, 2017, 2113, 1012, 1000, 1037, 1012, 1046, 1012, 3432, 3184, 2010, 2132, 2012, 2010, 22941, 2004, 6174, 3856, 1996, 5843, 2006, 1996, 8328, 1012, 1037, 1012, 1046, 1012, 2018, 5262, 2042, 2908, 2013, 2624, 5277, 2005, 2274, 2086, 1012, 2941, 2176, 2086, 1998, 2809, 2706, 2000, 2022, 6635, 1012, 2002, 1998, 2010, 4654, 1011, 2564, 1010, 9965, 14990, 1010, 2018, 2042, 2496, 1999, 2244, 1997, 2901, 1012, 2027, 1005, 1040, 8642, 10277, 3971, 1999, 2089, 1997, 2786, 1010, 2043, 1037, 1012, 1046, 1012, 2513, 2188, 2000, 2624, 5277, 2006, 1996, 12187, 1010, 9062, 6636, 1010, 2007, 2010, 2388, 1998, 2567, 1012, 1996, 8179, 2018, 2042, 4379, 1996, 2279, 2733, 1012, 2009, 2001, 2085, 2048, 1998, 1037, 2431, 2706, 2101, 1010, 1998, 1037, 1012, 1046, 1012, 2001, 3254, 2551, 2012, 14584, 2010, 2166, 1012, 2002, 1005, 1040, 4149, 2010, 2160, 2067, 2013, 6174, 1010, 2096, 6174, 2018, 2513, 2000, 2010, 4049, 1012, 1996, 2160, 11975, 2018, 2042, 12019, 2041, 2000, 5828, 1005, 1055, 4587, 2365, 1998, 2010, 2564, 2012, 1996, 2168, 2051, 9965, 1998, 1037, 1012, 1046, 1012, 2496, 1012, 14057, 2135, 2438, 1010, 5277, 1998, 9606, 4156, 1037, 2188, 1997, 2037, 2219, 1999, 2258, 1010, 2975, 6174, 1005, 1055, 4049, 10030, 1998, 15497, 2010, 2709, 1012, 2074, 2066, 1037, 1012, 1046, 1012, 1005, 1055, 2214, 2160, 2790, 2000, 2113, 2035, 2247, 2008, 2028, 2154, 2002, 1005, 1040, 2709, 2000, 2009, 2004, 2092, 1012, 6174, 2018, 2589, 2200, 2210, 2000, 2689, 1996, 4592, 1997, 1996, 2160, 1999, 2274, 2086, 2051, 1012, 1998, 1010, 1999, 2070, 4326, 2126, 1010, 2008, 2716, 7216, 2000, 1037, 1012, 1046, 1012, 2009, 3039, 2032, 2000, 2444, 2306, 1996, 12492, 2008, 1996, 2627, 2274, 2086, 2910, 1005, 1056, 3047, 1012, 2009, 3039, 2032, 2000, 5293, 1996, 2540, 15395, 1996, 19010, 1997, 2010, 3510, 2018, 3303, 2032, 1012, 1996, 3168, 1997, 14388, 10520, 1998, 8056, 2002, 2371, 2012, 2383, 3478, 2000, 2191, 2242, 2004, 2590, 2004, 2010, 3510, 2147, 1012, 1998, 1010, 1996, 14886, 12393, 2008, 2002, 2453, 2196, 2022, 1037, 2269, 1012, 2008, 2012, 2287, 5659, 1011, 2416, 1010, 1996, 6061, 1997, 2383, 2336, 2007, 1037, 2450, 2002, 3866, 2790, 2000, 2022, 11426, 8736, 1998, 8736, 2041, 1997, 1037, 1012, 1046, 1012, 1521, 1055, 3362, 1012, 2012, 2028, 2051, 1037, 1012, 1046, 1012, 2018, 3866, 9965, 2062, 2084, 2166, 2993, 1012, 2085, 2054, 2002, 2371, 2005, 2014, 1012, 1012, 1012, 2092, 1010, 2130, 2002, 2134, 1005, 1056, 2113, 2823, 1012, 2027, 1005, 1040, 10277, 2006, 26445, 3085, 2438, 3408, 1012, 2521, 2488, 3408, 2084, 2116, 9196, 6062, 2079, 1012, 2021, 2009, 6015, 2032, 1012, 2008, 2002, 2071, 2022, 2061, 1999, 2293, 2007, 1037, 2450, 1010, 8813, 2014, 2682, 2035, 2842, 1999, 2010, 2166, 1010, 2069, 2000, 2031, 2008, 2293, 1059, 16584, 5886, 1998, 3280, 2066, 1037, 2300, 1011, 7501, 6546, 1012, 2000, 2069, 2022, 2583, 2000, 13399, 2000, 2370, 2008, 2054, 2002, 2371, 2005, 9965, 2085, 2001, 1996, 2168, 2828, 1997, 2293, 1037, 2711, 5683, 2005, 2019, 2214, 1998, 6802, 2767, 1012, 2748, 1010, 2002, 8725, 2055, 2054, 3047, 2000, 2014, 1998, 6257, 2014, 2307, 3112, 1012, 2021, 2053, 1010, 2027, 2134, 1005, 1056, 2562, 1999, 3543, 2007, 2028, 2060, 1998, 1010, 3243, 19597, 1010, 2002, 1005, 1040, 2022, 4527, 2065, 2002, 2412, 2387, 2014, 2153, 1012, 1000, 10930, 1010, 1037, 1012, 1046, 1012, 3011, 2000, 1037, 1012, 1046, 1012, 1000, 6174, 1005, 1055, 2376, 3303, 1037, 1012, 1046, 1012, 2000, 6073, 2125, 2010, 8494, 20043, 1998, 2139, 24128, 4301, 1012, 1000, 1045, 1005, 2310, 2356, 2017, 3807, 2000, 2907, 1996, 15257, 2006, 2023, 5843, 2005, 2033, 2061, 1045, 2064, 2156, 2054, 1045, 1005, 1049, 24341, 1005, 2182, 1012, 1000, 1523, 2821, 1012, 1524, 1037, 1012, 1046, 1012, 20054, 2005, 1996, 6942, 2006, 1996, 15257, 2002, 2218, 1999, 2010, 2157, 2192, 1012, 1000, 3374, 1012, 1000, 6174, 3273, 2054, 2112, 1997, 2010, 2567, 1005, 1055, 2227, 1996, 2422, 1005, 1055, 7504, 3936, 1012, 1000, 2017, 3100, 1029, 1000, 1000, 3398, 1012, 3398, 1010, 1045, 1005, 1049, 2986, 1012, 2339, 1029, 1000, 1000, 2074, 3198, 2378, 1005, 1012, 2017, 17704, 4224, 2094, 2041, 2006, 2033, 2005, 1037, 2261, 3823, 2045, 1012, 1000, 1000, 1045, 1005, 1049, 2986, 1010, 1000, 1037, 1012, 1046, 1012, 28960, 7933, 2077, 6174, 2071, 3198, 2151, 2582, 3980, 1012, 1000, 2272, 2006, 1012, 2292, 1005, 1055, 2131, 2023, 3105, 2058, 2007, 2077, 2057, 2131, 3236, 2007, 2256, 2398, 1999, 1996, 17387, 15723, 1010, 2061, 2000, 3713, 1012, 1000, 6174, 5707, 1996, 4060, 2046, 1996, 5843, 1012, 1000, 2008, 1005, 1055, 2074, 2054, 1045, 1005, 1049, 3046, 2378, 1005, 2000, 2079, 1012, 1000, 6174, 2910, 1005, 1056, 2439, 2010, 8066, 2012, 8550, 6206, 4211, 2046, 5299, 3121, 1999, 1996, 2086, 2144, 2002, 1998, 1037, 1012, 1046, 1012, 2018, 2197, 2499, 2362, 1012, 1999, 2625, 2084, 1037, 3371, 1010, 2002, 7671, 1996, 2341, 2330, 1998, 4778, 1037, 1012, 1046, 1012, 2000, 3357, 2503, 1012, 1996, 8855, 2158, 7671, 1996, 15257, 2105, 1996, 4592, 1997, 1996, 8328, 1012, 2002, 7282, 1037, 2422, 6942, 1010, 2021, 2245, 2488, 1997, 18497, 2009, 2006, 1012, 1996, 2809, 3329, 2011, 2809, 3329, 8328, 2018, 2053, 3645, 1998, 2001, 27044, 2369, 1996, 7381, 1010, 2021, 9690, 2009, 2001, 2488, 2000, 2022, 3647, 2084, 3374, 1012, 1996, 3428, 3856, 2037, 2126, 15151, 2055, 1996, 4592, 1997, 1996, 2214, 3871, 8328, 1012, 2093, 18399, 2098, 21066, 1010, 14563, 1997, 1996, 23073, 2806, 2013, 2037, 2219, 5593, 2015, 1010, 24777, 2037, 4130, 1012, 2214, 3707, 6501, 27619, 1998, 14361, 10168, 3941, 2001, 8250, 5292, 21890, 26154, 2135, 2055, 1996, 2235, 2181, 2004, 2092, 1012, 6174, 14275, 2091, 2006, 2010, 5042, 1012, 1000, 2202, 1037, 2298, 2012, 2023, 2214, 16933, 9587, 13777, 1012, 1045, 2134, 1005, 1056, 2228, 2045, 2020, 2151, 1997, 2122, 2477, 2187, 2105, 1012, 3342, 2129, 1045, 2109, 2000, 9587, 2860, 2214, 3680, 1012, 7663, 2386, 1005, 1055, 10168, 2007, 2028, 1997, 2122, 2477, 2296, 5095, 1029, 1000, 1000, 1045, 2469, 2079, 1012, 2295, 1045, 2123, 1005, 1056, 9131, 2017, 2559, 2012, 2014, 9587, 13777, 2007, 3243, 1996, 13545, 2791, 2017, 1005, 2128, 2559, 2012, 2023, 2028, 1012, 1000, 6174, 3281, 1999, 3638, 1012, 1000, 2053, 1010, 1045, 3984, 1045, 2134, 1005, 1056, 1012, 2008, 2001, 1037, 3109, 1997, 1037, 2843, 1997, 2147 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2726, 7570, 19473, 2015, 1006, 17696, 2620, 1011, 27924, 1007, 2726, 7570, 19473, 2015, 1997, 15451, 7834, 4917, 1010, 1999, 2070, 3080, 6981, 2726, 23748, 1997, 15451, 5244, 4917, 1010, 2001, 2019, 2394, 9667, 1010, 2190, 2124, 2651, 2005, 2010, 2147, 2006, 2576, 4695, 1012, 2010, 29077, 2338, 11902, 29246, 2511, 1996, 3192, 2005, 2087, 1997, 2530, 2576, 4695, 2013, 1996, 7339, 1997, 2591, 3206, 3399, 1012, 7570, 19473, 2015, 2001, 1037, 3410, 1997, 14689, 4747, 21823, 6491, 2005, 1996, 11074, 1010, 2021, 2002, 2036, 2764, 2070, 1997, 1996, 8050, 2015, 1997, 2647, 4314, 2245, 1024, 1996, 2157, 1997, 1996, 3265, 1025, 1996, 3019, 9945, 1997, 2035, 2273, 1025, 1996, 7976, 2839, 1997, 1996, 2576, 2344, 1006, 2029, 2419, 2000, 1996, 2101, 7835, 2090, 2942, 2554, 1998, 1996, 2110, 1007, 1025, 1996, 3193, 2008, 2035, 11476, 2576, 2373, 2442, 2022, 1000, 4387, 1000, 1998, 2241, 2006, 1996, 9619, 1997, 1996, 2111, 1025, 1998, 1037, 4314, 7613, 1997, 2375, 2029, 3727, 2111, 2489, 2000, 2079, 3649, 1996, 2375, 2515, 2025, 12045, 27206, 1012, 2002, 2001, 2028, 1997, 1996, 8759, 1997, 2715, 2576, 4695, 1012, 1999, 2804, 1010, 7570, 19473, 2015, 2036, 5201, 2000, 1037, 7578, 9140, 1997, 2060, 4249, 1010, 2164, 2381, 1010, 10988, 1010, 1996, 5584, 1997, 15865, 1010, 8006, 1010, 9615, 1010, 1998, 2236, 4695, 1012, 11902, 29246, 2030, 1996, 3043, 1010, 2433, 2063, 1998, 2373, 1997, 1037, 2691, 7177, 12301, 2140, 1998, 2942, 1517, 4141, 3615, 2000, 2004, 11902, 29246, 1517, 2003, 1037, 2338, 2517, 2011, 2726, 7570, 19473, 2015, 1006, 17696, 2620, 1516, 27924, 1007, 1998, 2405, 1999, 29077, 1012, 2049, 2171, 12153, 2013, 1996, 10213, 11902, 29246, 1012, 1996, 2147, 5936, 1996, 3252, 1997, 2554, 1998, 11476, 2231, 1010, 1998, 2003, 5240, 2004, 2028, 1997, 1996, 5700, 1998, 2087, 6383, 4973, 1997, 2591, 3206, 3399, 1012, 11902, 29246, 6938, 2004, 1037, 4438, 2530, 2147, 2006, 2110, 10419, 12435, 2000, 24532, 2401, 15985, 3669, 1005, 1055, 1996, 3159, 1012, 2517, 2076, 1996, 2394, 2942, 2162, 1006, 24061, 1516, 29077, 1007, 1010, 11902, 29246, 9251, 2005, 1037, 2591, 3206, 1998, 3627, 2011, 2019, 7619, 11074, 1012, 7570, 19473, 2015, 2626, 2008, 2942, 2162, 1998, 1996, 26128, 3663, 1997, 1037, 2110, 1997, 3267, 1006, 1000, 1996, 2162, 1997, 2035, 2114, 2035, 1000, 1007, 2071, 2069, 2022, 9511, 2011, 2844, 6151, 12848, 14097, 2231, 1012, 11902, 29246, 1006, 2808, 1045, 1998, 2462, 1007, 11902, 29246, 1010, 2030, 1996, 3043, 1010, 2433, 2063, 1998, 2373, 1997, 1037, 2691, 7177, 12301, 2140, 1998, 2942, 1010, 4141, 2170, 11902, 29246, 1010, 2003, 1037, 2338, 2517, 1999, 29077, 2011, 2726, 7570, 19473, 2015, 1012, 2009, 2003, 4159, 2044, 1996, 10213, 11902, 29246, 1012, 1996, 2338, 5936, 1996, 3252, 1997, 2554, 1006, 2004, 3421, 29407, 2135, 2011, 1996, 2392, 2483, 11198, 1010, 4760, 1996, 2110, 5016, 2081, 2039, 1997, 3633, 1007, 1010, 2004, 2003, 21328, 2011, 1996, 2440, 2516, 1012, 1999, 1996, 2338, 1010, 2726, 7570, 19473, 2015, 9251, 2005, 1037, 2591, 3206, 1998, 3627, 2011, 1037, 11074, 1012, 5105, 2011, 1996, 2394, 2942, 2162, 1010, 7570, 19473, 2015, 2626, 2008, 8488, 2030, 2942, 2162, 1011, 8146, 4453, 2007, 1037, 2110, 1997, 3267, 1998, 1996, 3297, 12652, 4330, 2819, 18168, 14907, 24528, 18168, 5267, 1006, 1000, 1996, 2162, 1997, 2035, 2114, 2035, 1000, 1007, 1011, 2071, 2069, 2022, 13642, 17724, 2011, 2844, 2430, 2231, 1012, 2002, 2947, 6380, 2151, 2157, 1997, 7417, 2646, 1996, 2591, 3206, 1012, 2174, 1010, 7570, 19473, 2015, 2106, 6848, 1996, 2825, 12275, 1997, 1996, 2110, 1012, 2144, 1996, 2591, 3206, 2001, 2081, 2000, 2820, 1037, 2110, 2008, 2052, 3073, 2005, 1996, 1000, 3521, 1998, 3639, 1000, 1997, 1996, 2111, 1010, 1996, 3206, 2052, 2468, 11675, 2004, 2574, 2004, 1996, 2231, 2053, 2936, 5123, 2049, 4480, 1012, 2011, 11870, 1997, 2023, 2755, 1010, 2158, 2052, 8073, 2709, 2000, 1996, 2110, 1997, 3267, 2127, 1037, 2047, 3206, 2003, 2081, 1012, 2044, 12401, 6594, 2007, 7570, 19473, 2015, 1010, 1996, 24262, 8181, 5795, 2063, 2580, 1996, 4385, 12053, 2005, 1996, 2338, 1005, 1055, 3297, 2392, 2483, 11198, 1999, 1996, 20248, 11368, 3089, 4226, 2806, 2029, 5795, 2063, 2370, 2018, 15514, 1012, 2009, 2003, 2714, 1999, 5502, 2000, 1996, 2392, 2483, 11198, 1997, 7570, 19473, 2015, 1005, 2139, 25022, 3726, 1006, 24061, 1007, 1010, 2580, 2011, 3744, 8785, 10600, 1012, 1996, 2392, 2483, 11198, 2038, 2048, 2364, 3787, 1010, 1997, 2029, 1996, 3356, 2112, 2003, 2011, 2521, 1996, 2062, 8478, 1012, 1999, 2009, 1010, 1037, 5016, 10249, 3275, 2003, 2464, 8361, 2013, 1996, 5957, 1010, 14197, 1037, 4690, 1998, 1037, 13675, 20049, 2121, 1010, 4218, 1037, 14686, 2013, 1996, 2338, 1997, 3105, 1517, 1000, 2512, 9765, 8962, 4355, 3022, 3565, 14403, 2213, 24209, 6679, 12826, 20689, 1041, 2072, 1012, 22834, 2497, 1012, 4601, 1012, 2484, 1000, 1006, 1000, 2045, 2003, 2053, 2373, 2006, 3011, 2000, 2022, 4102, 2000, 2032, 1012, 3105, 4601, 1012, 2484, 1000, 1007, 1517, 11383, 1996, 3275, 2000, 1996, 6071, 1997, 2008, 2338, 1012, 1006, 2138, 1997, 18185, 2058, 2073, 9159, 4088, 1010, 1996, 7893, 7570, 19473, 2015, 16614, 2003, 2788, 2445, 2004, 3105, 4601, 1024, 3943, 1999, 2715, 3017, 11913, 2046, 2394, 1010, 3105, 4601, 1024, 2423, 1999, 1996, 16137, 5686, 4588, 3793, 1010, 17419, 6692, 11528, 2102, 1010, 1998, 1996, 9678, 6331, 1025, 2009, 2003, 4601, 1024, 2484, 1999, 1996, 24728, 27887, 2618, 1012, 1007, 1996, 15190, 1998, 2608, 1997, 1996, 3275, 2024, 3605, 1997, 2058, 2093, 3634, 5381, 1010, 1999, 1996, 2806, 1997, 12574, 8115, 5714, 27495, 2080, 1025, 2035, 2024, 5307, 20546, 2015, 2007, 2074, 1996, 5016, 1005, 1055, 2132, 2383, 5710, 2838, 1012, 1006, 1037, 8356, 1997, 11902, 29246, 2580, 2005, 2798, 2462, 1999, 29077, 2038, 3862, 5966, 1516, 1037, 2367, 2364, 2132, 2021, 6022, 1996, 2303, 2003, 2036, 3605, 1997, 2116, 5344, 1010, 2035, 2559, 15436, 2015, 2013, 1996, 2303, 1998, 2007, 1037, 2846, 1997, 11423, 1012, 1007, 1996, 2896, 4664, 2003, 1037, 4440, 3723, 2818, 1010, 10366, 1999, 1037, 4799, 3675, 1012, 1996, 2803, 2433, 3397, 1996, 2516, 2006, 2019, 18099, 11002, 1012, 1996, 2048, 3903, 8339, 1996, 4690, 1998, 13675, 20049, 2121, 1997, 1996, 2364, 3275, 1516, 29520, 2373, 2006, 1996, 2187, 1998, 1996, 4204, 1997, 1996, 2277, 2006, 1996, 2157, 1012, 2169, 2217, 5783, 11138, 1996, 5662, 2373, 1516, 3317, 2000, 2277, 1010, 4410, 2000, 10210, 2890, 1010, 8854, 2000, 4654, 9006, 23041, 21261, 1010, 4255, 2000, 7961, 1010, 1998, 1996, 11686, 2000, 1996, 3412, 5434, 1012, 1996, 5016, 4324, 1996, 9255, 1997, 2119, 3903, 1010, 10842, 1996, 2586, 1997, 10644, 1998, 6259, 1999, 1996, 11074, 1010, 2021, 1996, 2810, 1997, 1996, 15190, 2036, 3084, 1996, 3275, 1996, 2110, 1012, 2112, 1045, 1024, 1997, 2158, 7570, 19473, 2015, 4269, 2010, 15326, 2006, 4331, 2007, 2019, 4070, 1997, 2529, 3267, 1012, 2002, 7534, 2019, 3746, 1997, 2158, 2004, 3043, 1999, 4367, 1010, 7161, 2000, 2265, 2083, 2742, 2129, 2673, 2055, 8438, 2064, 2022, 4541, 3430, 6553, 3973, 1010, 2008, 2003, 1010, 2302, 28667, 22957, 2063, 2000, 2019, 4297, 2953, 26691, 2389, 1010, 10047, 8585, 14482, 3969, 2030, 1037, 4513, 2005, 4824, 4784, 2008, 2024, 6327, 2000, 1996, 2529, 2568, 1012, 7570, 19473, 2015, 10951, 2011, 12854, 3408, 4415, 1010, 1998, 1999, 2019, 4895, 5054, 7292, 15758, 2126, 1012, 2204, 1998, 4763, 2024, 2498, 2062, 2084, 3408, 2109, 2000, 19090, 2019, 3265, 1005, 1055, 18923, 2015, 1998, 14714, 1010, 2096, 2122, 18923, 2015, 1998, 14714, 2024, 2498, 2062, 2084, 1996, 11765, 2000, 2693, 2646, 2030, 2185, 2013, 2019, 4874, 1012, 3246, 2003, 2498, 2062, 2084, 2019, 18923, 2005, 1037, 2518, 4117, 2007, 5448, 2008, 2009, 2064, 2022, 2018, 1012, 2002, 6083, 1996, 7444, 2576, 8006, 1997, 1996, 2051, 1010, 24105, 2964, 1010, 25220, 2015, 2006, 5457, 15182, 1997, 10126, 2616, 1010, 2107, 2004, 4297, 2953, 26691, 2389, 9415, 1010, 2029, 2005, 7570, 19473, 2015, 2003, 1037, 26917, 1999, 3408, 1012, 7570, 19473, 2015, 5577, 2529, 6825, 2302, 2151, 4431, 2000, 1996, 7680, 27147, 14753, 2819, 1010, 2030, 4602, 2204, 1010, 2004, 3025, 2245, 2018, 2589, 1012, 2025, 2069, 2003, 1996, 4145, 1997, 1037, 7680, 27147, 14753, 2819, 3565, 10258, 8918, 1010, 2021, 2445, 1996, 28436, 1997, 2529, 14714, 1010, 2045, 2071, 2022, 2053, 2107, 2518, 1012, 8821, 1010, 2151, 2576, 2451, 2008, 4912, 2000, 3073, 1996, 4602, 2204, 2000, 2049, 2372, 2052, 2424, 2993, 5533, 2011, 6637, 13120, 2015, 1997, 2008, 2204, 2007, 2053, 2126, 2000, 5630, 2426, 2068, 1012, 1996, 2765, 2052, 2022, 2942, 2162, 1012, 2045, 2003, 1010, 2174, 1010, 7570, 19473, 2015, 2163, 1010, 1037, 7680, 27147, 15451, 2819, 1010, 2030, 4602, 4763, 1012, 2023, 2003, 1996, 3571, 1997, 6355, 2331, 1012, 1037, 2576, 2451, 2064, 2022, 8048, 2105, 2023, 3571, 1012, 2144, 2045, 2003, 2053, 7680, 27147, 14753, 2819, 1010, 1996, 3019, 2110, 1997, 2158, 2003, 2025, 2000, 2022, 2179, 1999, 1037, 2576, 2451, 2008, 7323, 2015, 1996, 4602, 2204, 1012, 2021, 2000, 2022, 2648, 1997, 1037, 2576, 2451, 2003, 2000, 2022, 1999, 2019, 9617, 11140, 2594, 4650, 1012, 2445, 2529, 3267, 1010, 1996, 28436, 1997, 2529, 14714, 1010, 1998, 2342, 2005, 18782, 4219, 2000, 13883, 2216, 14714, 1010, 1996, 2110, 1997, 3267, 1010, 2004, 7570, 19473, 2015, 4455, 2023, 9617, 11140, 2594, 4650, 1010, 2442, 2022, 1037, 2162, 1997, 2035, 2114, 2035, 1012, 2130, 2043, 2048, 2273, 2024, 2025, 3554, 1010, 2045, 2003, 2053, 11302, 2008, 1996, 2060, 2097, 2025, 3046, 2000, 3102, 2032, 2005, 2010, 3200, 2030, 2074, 2041, 1997, 2019, 12943, 16523, 2666, 7178, 3168, 1997, 6225, 1010, 1998, 2061, 2027, 2442, 7887, 2022, 2006, 3457, 2114, 2028, 2178, 1012, 2009, 2003, 2130, 9608, 2000, 3653, 6633, 24971, 2135, 2886, 2028, 1005, 1055, 20065, 1012, 1000, 1999, 2107, 4650, 2045, 2003, 2053, 2173, 2005, 3068, 1010, 2138, 1996, 5909, 21739, 2003, 9662, 1010, 1998, 8821, 1010, 2025, 3226, 1997, 1996, 3011, 1010, 2053, 9163, 1010, 4496, 1996, 2224, 1997, 21955, 2008, 2089, 2022, 10964, 2011, 2712, 1010, 2053, 4012, 5302, 20617, 2271, 2311, 1010, 2053, 5693, 1997, 3048, 1998, 9268, 2107, 2477, 2004, 5478, 2172, 2486, 1010, 2053, 3716, 1997, 1996, 2227, 1997, 1996, 3011, 1010, 2053, 4070, 1997, 2051, 1010, 2053, 2840, 1010, 2053, 4144, 1010, 2053, 2554, 1010, 1998, 2029, 2003, 5409, 1997, 2035, 1010, 27222, 3571, 1998, 5473, 1997, 6355, 2331, 1010, 1998, 1996, 2166, 1997, 2158, 1010, 14348, 1010, 3532, 1010, 11808, 1010, 7987, 21823, 4095, 1010, 1998, 2460, 1012, 1000, 1996, 4792, 2000, 4468, 1996, 2110, 1997, 3267, 1010, 2004, 1996, 2173, 2073, 1996, 7680, 27147, 15451, 2819, 1997, 6355, 2331, 2003, 2087, 3497, 2000, 5258, 1010, 3596, 1996, 10567, 7559, 1997, 2576, 13384, 1012, 2009, 6083, 1037, 2193, 1997, 4277, 1997, 3267, 1010, 2348, 7570, 19473, 2015, 2003, 4248, 2000, 2391, 2041, 2008, 2027, 3685, 7919, 4092, 2022, 2170, 1000, 4277, 1010, 1000, 2144, 2045, 2003, 2053, 2028, 2000, 16306, 2068, 1012, 1996, 2034, 2518, 2008, 3114, 6083, 2003, 2000, 6148, 3521, 1010, 2021, 2008, 2073, 3521, 3685, 2022, 2018, 1010, 2000, 2224, 2035, 1997, 1996, 12637, 1997, 2162, 1012, 7570, 19473, 2015, 2003, 13216, 2008, 1999, 1996, 2110, 1997, 3267, 2498, 2064, 2022, 2641, 2074, 2030, 4895, 29427, 1010, 1998, 2296, 2158, 2442, 2022, 2641, 2000, 2031, 1037, 2157, 2000, 2035, 2477, 1012, 1996, 2117, 2375, 1997, 3267, 2003, 2008, 2028, 11276, 2000, 2022, 5627, 2000, 17738, 17457, 2028, 1005, 1055, 2157, 2000, 2035, 2477, 2073, 2500, 2024, 5627, 2000, 2079, 1996, 2168, 1010, 2000, 8046, 1996, 2110, 1997, 3267, 1010, 1998, 2000, 14908, 1037, 5663, 2007, 1996, 3691, 2000, 3094, 2068, 1999, 2035, 2477, 1012, 7570, 19473, 2015, 14730, 2112, 2028, 2011, 2396, 2594, 10924, 2019, 3176, 9171, 4277, 1997, 3267, 2008, 2191, 1996, 2836, 1997, 1996, 2034, 2048, 2825, 1998, 2011, 9990, 2054, 2009, 2052, 2812, 2005, 1037, 11074, 2000, 5050, 1996, 2111, 2130, 2043, 2027, 21090, 2007, 1996, 11074, 1012, 2112, 2462, 1024, 1997, 2691, 1011, 7177, 1996, 3800, 1997, 1037, 5663, 2003, 2445, 2012, 1996, 2707, 1997, 2112, 2462, 1024, 1996, 2345, 3426, 1010, 2203, 1010, 2030, 2640, 1997, 2273, 1006, 2040, 8100, 2293, 7044, 1010, 1998, 13738, 2058, 2500, 1007, 1999, 1996, 4955, 1997, 2008, 19355, 2588, 3209, 1010, 1999, 2029, 2057, 2156, 2068, 2444, 1999, 5663, 2015, 1010, 2003, 1996, 18921, 25807, 1997, 2037, 2219, 8347, 1010, 1998, 1997, 1037, 2062, 4180, 2098, 2166, 8558, 1025, 2008, 2003, 2000, 2360, 1010, 1997, 2893, 3209, 2041, 2013, 2008, 13736, 4650, 1997, 2162, 2029, 2003, 9352, 9530, 3366, 15417, 1010, 2004, 6045, 2232, 2042, 3491, 1010, 2000, 1996, 3019, 25289, 1997, 2273, 2043 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2043, 2017, 2024, 9278, 2075, 1037, 1019, 1010, 2184, 1010, 2321, 1010, 2322, 1010, 2382, 2030, 2871, 4220, 15653, 6238, 1010, 2017, 2215, 1037, 2194, 2017, 2064, 3404, 2007, 7597, 2008, 2191, 2017, 2868, 1012, 2507, 2149, 1037, 2655, 2651, 1998, 2156, 1996, 4489, 2057, 2064, 2191, 1999, 2115, 2279, 2810, 2030, 4550, 2041, 2622, 1012, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2393, 2017, 3275, 2041, 2115, 15653, 6238, 12635, 3791, 1012, 2256, 15653, 15608, 2788, 2175, 2041, 2168, 1011, 2154, 2030, 2279, 1011, 2154, 5834, 2006, 2043, 2017, 2655, 1012, 2057, 3073, 2327, 1011, 18624, 2326, 1010, 2096, 2183, 3733, 2006, 2115, 3953, 2240, 1012, 2054, 2062, 2071, 2017, 3198, 2005, 1029, 2256, 4738, 9224, 2024, 2182, 2000, 2507, 2017, 1037, 3435, 1998, 2038, 25016, 1011, 2489, 3325, 2013, 2707, 2000, 3926, 1012, 2320, 2017, 2024, 2589, 1010, 3432, 2507, 2149, 1037, 2655, 1998, 2057, 2097, 2131, 2115, 15653, 6238, 3856, 2039, 2157, 2185, 999, 2256, 3095, 2003, 2182, 2000, 2393, 7188, 2017, 2342, 2009, 1012, 3432, 4060, 2039, 1996, 3042, 1998, 2507, 2149, 1037, 2655, 1012, 2087, 3655, 2030, 7602, 2079, 2025, 2031, 2116, 7040, 4953, 15653, 6238, 12635, 2004, 2146, 2004, 2017, 2562, 1996, 15653, 6238, 4498, 2006, 2115, 2219, 3200, 2076, 1996, 12635, 2558, 1012, 2065, 2017, 2342, 2000, 2173, 2115, 11661, 2006, 1996, 2395, 1999, 2151, 2126, 1010, 2017, 2097, 3497, 2031, 2000, 6855, 1037, 9146, 2013, 1996, 6413, 2311, 9146, 2436, 1999, 2115, 2237, 1012, 2017, 2064, 4638, 2007, 2115, 2334, 2270, 2573, 2533, 2000, 2022, 2469, 1012, 2087, 24646, 28242, 3016, 15653, 6238, 12635, 3316, 2097, 2202, 2729, 1997, 12329, 2023, 9146, 2005, 2017, 2065, 2017, 9278, 2013, 2068, 1012, 2191, 2469, 2008, 2065, 2017, 1521, 2128, 4041, 2000, 2404, 1996, 15653, 6238, 2006, 1996, 2395, 1010, 1996, 2194, 2038, 2081, 1996, 6413, 7565, 1012, 2017, 2323, 2036, 5676, 2008, 2017, 2131, 1996, 9146, 1999, 1037, 23259, 5450, 1998, 2012, 1996, 6149, 3465, 1012, 2065, 2017, 2245, 1996, 15653, 6238, 2194, 2001, 2893, 1037, 9146, 1998, 2027, 2106, 2025, 1010, 2017, 2097, 2022, 1996, 2028, 2040, 2097, 2031, 2000, 3477, 1996, 2986, 2008, 2003, 3843, 2011, 1996, 4614, 1012, 2621, 7292, 2003, 1996, 2028, 2060, 2307, 2051, 2007, 7634, 2000, 2816, 2000, 2468, 10601, 1012, 2116, 3934, 2089, 2022, 10607, 2004, 2092, 2004, 5301, 2096, 1996, 2493, 7166, 2000, 2022, 2125, 1997, 2118, 1012, 5089, 2004, 2092, 2004, 2493, 2097, 2022, 4527, 2044, 2027, 2709, 2067, 2000, 2082, 2012, 2035, 2013, 1996, 8377, 2081, 1012, 2065, 2017, 2444, 1999, 1037, 2200, 4010, 4044, 1998, 2342, 2503, 1997, 2128, 5302, 9247, 2075, 8885, 2006, 2115, 2118, 2084, 3467, 7292, 3338, 2003, 1037, 2204, 2051, 2000, 3929, 10616, 2023, 2589, 1012, 2035, 1996, 4268, 2004, 2092, 2004, 5089, 2323, 2022, 2041, 1997, 1996, 2118, 2005, 1996, 2087, 2112, 1012, 4606, 1010, 10135, 2075, 5942, 1037, 2843, 1997, 5010, 1999, 1996, 15653, 6238, 2004, 2079, 3536, 2918, 15271, 1998, 4303, 1012, 1037, 2312, 15653, 6238, 3397, 2176, 1037, 2307, 3066, 1997, 13044, 2004, 2092, 2004, 11385, 1998, 2008, 2003, 2055, 1996, 2168, 3773, 2008, 2702, 4316, 15665, 1012, 2151, 5396, 15653, 6238, 3397, 2093, 1037, 2307, 3066, 1997, 13044, 1998, 2008, 2003, 5020, 2000, 4953, 2274, 4316, 15665, 1012, 1037, 9233, 15653, 6238, 2008, 2017, 9278, 12919, 2015, 2000, 2048, 1037, 2307, 3066, 1997, 13044, 1012, 2087, 2111, 2024, 2067, 1997, 16911, 2037, 3423, 2916, 1012, 2031, 2017, 7523, 10334, 2040, 3310, 2067, 2000, 6010, 2037, 17842, 1029, 12575, 8990, 2053, 2097, 2022, 1996, 19519, 1012, 2295, 2045, 2024, 3056, 2111, 2040, 13225, 2037, 17842, 1010, 2057, 2064, 20071, 2424, 2068, 4366, 6684, 2017, 2000, 5791, 2702, 3867, 4953, 2561, 2313, 1997, 1996, 2406, 1012, 2009, 2003, 2200, 2139, 24128, 2000, 2113, 1999, 2029, 2200, 2625, 2193, 1997, 2111, 2006, 1996, 4774, 2003, 5204, 1999, 2029, 2157, 2004, 2092, 2004, 5368, 10885, 2006, 1996, 2168, 23277, 28562, 1998, 2028, 2038, 2288, 2000, 5138, 1996, 4611, 2006, 1996, 2168, 23277, 28562, 2004, 2027, 2202, 5056, 1997, 1996, 2157, 1012, 11628, 1996, 2779, 3465, 1997, 15653, 6238, 2578, 1998, 7523, 2054, 2003, 1996, 3671, 3976, 2006, 1996, 3006, 1012, 2009, 2003, 2190, 2008, 2017, 5454, 15653, 15608, 2006, 9278, 1999, 2029, 7580, 3749, 15653, 15608, 1012, 14763, 2023, 2785, 1997, 2578, 2013, 2006, 1011, 2240, 14975, 2015, 2030, 10310, 2097, 3465, 2017, 2521, 2062, 2138, 2122, 6970, 16969, 5134, 3465, 2017, 1037, 13868, 7408, 1012, 2005, 2008, 3114, 1010, 2065, 2017, 4919, 3921, 15653, 6238, 12635, 9883, 1010, 2059, 2017, 2024, 4298, 2000, 3828, 2769, 2588, 14763, 2035, 1997, 2068, 1012, 1037, 16360, 23056, 11669, 8208, 3840, 4050, 2097, 2507, 2017, 2489, 24155, 2015, 1012, 1996, 3976, 2097, 2022, 2241, 2006, 2006, 1996, 2504, 1997, 18015, 1998, 2785, 1997, 4475, 2000, 2022, 2579, 2041, 1012, 7297, 1010, 12711, 9883, 2323, 2022, 2443, 1999, 1996, 18422, 1010, 2061, 2045, 4995, 1005, 1056, 2151, 20096, 1999, 1996, 2925, 1012, 2017, 2064, 2036, 9278, 15653, 15608, 2065, 2017, 2444, 2025, 25925, 1012, 2070, 2111, 2079, 2025, 4792, 2000, 2202, 2037, 18015, 2185, 2012, 2035, 2335, 2061, 9278, 2075, 1037, 15653, 6238, 2064, 3828, 2017, 3947, 1998, 2051, 1012, 2035, 2115, 11669, 2022, 2404, 2306, 1996, 15653, 6238, 1998, 2429, 2000, 2129, 2411, 2009, 5942, 14019, 1996, 5025, 15653, 6238, 2194, 7180, 4064, 2009, 2005, 2017, 1012, 2019, 3935, 2810, 3840, 2084, 2017, 3305, 2017, 2342, 2000, 2131, 2026, 2126, 2083, 2344, 1999, 2344, 2000, 2562, 2115, 2147, 5291, 6149, 2247, 1012, 2017, 2342, 2000, 2022, 2583, 2000, 4965, 3563, 5167, 2005, 2169, 4708, 2344, 1012, 2008, 2017, 2024, 2200, 5697, 2007, 3365, 6304, 1998, 2017, 2215, 2000, 2562, 2115, 2204, 2516, 1998, 6581, 6960, 5891, 1012, 2007, 1037, 2312, 15653, 6238, 2004, 2092, 2004, 2312, 15653, 15608, 2017, 2097, 7969, 2115, 4825, 2449, 2555, 2559, 2092, 2404, 2362, 2096, 2017, 2024, 2383, 1996, 5723, 2128, 5302, 9247, 2075, 8885, 1012, 2023, 2097, 2562, 2115, 6304, 2004, 2092, 2004, 5101, 3316, 7537, 1012, 1996, 2200, 2034, 2518, 2017, 2031, 2000, 2562, 4426, 2092, 1011, 6727, 2003, 2055, 1996, 7451, 1996, 15653, 6238, 3517, 1012, 15653, 15608, 2788, 2024, 2800, 2367, 10826, 2090, 2184, 1011, 2871, 4220, 1012, 2151, 2184, 4220, 15653, 6238, 2097, 5121, 4906, 1999, 2115, 2342, 1999, 1996, 2724, 1996, 2622, 8971, 2003, 4714, 2066, 2188, 10525, 1012, 2017, 2031, 2000, 2175, 2005, 4531, 1996, 3469, 1037, 2309, 2065, 2017, 2024, 9756, 2810, 5841, 1998, 3919, 3934, 1012, 2478, 1996, 2578, 1997, 1996, 2157, 2946, 15653, 6238, 2097, 3828, 2017, 2013, 7079, 2005, 1996, 4487, 13102, 8820, 3468, 2686, 2306, 1996, 15653, 6238, 1012, 2017, 2064, 2173, 2115, 3080, 3040, 5010, 2341, 2046, 1996, 15653, 6238, 1012, 2017, 2453, 2036, 2404, 2151, 2214, 2918, 15271, 2017, 2053, 2936, 2215, 4283, 2000, 4911, 2030, 2672, 2065, 2027, 2074, 2024, 2025, 1996, 2806, 2017, 2018, 2042, 2559, 2005, 1012, 1999, 2553, 2017, 1998, 2115, 2155, 2191, 1037, 3247, 2000, 5376, 2157, 2006, 2115, 3608, 1998, 2131, 2318, 2007, 4292, 2039, 1998, 3974, 5167, 1010, 2004, 4102, 2000, 2017, 2215, 2000, 2147, 2007, 1037, 15653, 6238, 2194, 2008, 2097, 2507, 2017, 1037, 11585, 15653, 6238, 1012, 2017, 2024, 1999, 1996, 6888, 2000, 4550, 1998, 2017, 2031, 2579, 10885, 2051, 2125, 1997, 2147, 2000, 2131, 5291, 1012, 2017, 2215, 21688, 2326, 1998, 2017, 2215, 2009, 5915, 1012, 2009, 2064, 2022, 23182, 2000, 2224, 2115, 14832, 2000, 3573, 2169, 2210, 6254, 2030, 14161, 6799, 1011, 14161, 8684, 2017, 5674, 2017, 1005, 2222, 2215, 2101, 2006, 1012, 5136, 2074, 2129, 27150, 2009, 2071, 2022, 1010, 2295, 1010, 2000, 2224, 1037, 3835, 3278, 2686, 22808, 1997, 1996, 18856, 26878, 2008, 2064, 13697, 7062, 2017, 2091, 1012, 7682, 1999, 2568, 2023, 21560, 4953, 17839, 1010, 3623, 1996, 3891, 2005, 3601, 2000, 18015, 2054, 15958, 2003, 18015, 1012, 2009, 1005, 1055, 2025, 3497, 2008, 3071, 2503, 2115, 12731, 2140, 1011, 2139, 1011, 17266, 2288, 4930, 2006, 2019, 7235, 4094, 1012, 1015, 4398, 2071, 2031, 2018, 2010, 2030, 2014, 3628, 21920, 3728, 1010, 2975, 2369, 2068, 2007, 2625, 5357, 22185, 3536, 1010, 2096, 2178, 2071, 2031, 2018, 2019, 2972, 3392, 2039, 3217, 4140, 2006, 2049, 2219, 1012, 8627, 3087, 2000, 6510, 1999, 2005, 1996, 10638, 2029, 2288, 4930, 1996, 5409, 2030, 2029, 2089, 2025, 2022, 6055, 2000, 4550, 2010, 2030, 2014, 4210, 2037, 7367, 20899, 1012, 6875, 2308, 2004, 2092, 2004, 1996, 9750, 2089, 4298, 2926, 2131, 4390, 1010, 8821, 3749, 2035, 1997, 2068, 1996, 5101, 1005, 1055, 3688, 1998, 2578, 2005, 9344, 2010, 2030, 2014, 4220, 2030, 3383, 11122, 2075, 2010, 2030, 2014, 11385, 2000, 2023, 15653, 6238, 1012, 2040, 4282, 1010, 2017, 2089, 2131, 3825, 2362, 2007, 4840, 27529, 999, 2065, 2017, 2024, 4041, 2000, 4685, 1037, 2210, 2350, 6418, 2015, 2000, 2115, 2160, 1010, 2191, 1037, 2047, 2028, 2030, 3383, 4755, 2041, 2151, 2895, 2008, 2097, 2298, 2012, 2017, 5155, 1037, 2843, 1997, 5949, 1010, 2070, 4066, 1997, 15653, 6238, 2003, 2242, 2008, 2017, 1005, 2222, 5478, 2105, 2000, 6509, 2017, 2000, 2693, 2023, 11385, 2000, 1996, 2157, 23642, 11744, 1012, 2559, 2005, 1037, 15653, 6238, 2000, 9278, 2428, 2323, 2025, 2022, 2061, 2524, 3773, 2004, 2045, 2024, 2195, 4411, 5378, 1996, 2578, 1012, 2023, 2174, 2515, 2025, 9352, 2812, 2008, 2017, 2448, 2046, 8130, 2041, 2151, 1997, 2068, 2000, 3113, 2115, 3791, 1012, 2045, 2024, 1037, 2193, 1997, 3688, 2008, 2017, 2342, 2000, 2202, 2046, 4070, 2043, 2009, 3310, 2000, 15653, 6238, 9278, 2075, 1012, 2079, 2017, 2113, 2334, 9537, 1998, 2036, 4277, 4953, 4487, 13102, 18606, 1997, 2035, 1996, 18015, 4550, 6924, 1997, 2115, 2188, 2030, 3383, 3293, 2542, 2686, 1029, 2065, 2017, 2123, 1005, 1056, 1010, 1998, 2017, 2681, 2115, 16716, 2030, 3383, 3714, 2425, 2100, 2012, 1996, 16542, 2173, 1010, 2017, 2089, 2131, 16981, 1012, 8519, 2024, 3879, 1999, 18015, 13148, 1012, 3251, 2027, 6509, 2017, 2000, 7170, 1996, 15136, 12819, 2030, 3432, 4060, 2039, 1996, 15653, 6238, 2017, 12524, 1010, 2027, 2024, 2183, 2000, 2113, 1996, 6149, 2345, 19613, 2173, 2005, 1996, 5167, 1012, 1999, 2070, 3572, 1010, 2008, 2097, 2812, 2070, 4066, 1997, 13445, 2803, 2030, 1037, 2122, 17874, 4322, 1011, 1011, 2115, 11669, 2071, 2022, 2178, 2711, 1005, 1055, 8813, 999, 2021, 2008, 1005, 1055, 2025, 1996, 2069, 5770, 1997, 16911, 18015, 14655, 2545, 1012, 2059, 1997, 2607, 2017, 1005, 2222, 3828, 2035, 1997, 1996, 2051, 2009, 2052, 2202, 2017, 2000, 3298, 5350, 2000, 1996, 13044, 15653, 2030, 2122, 17874, 2415, 2011, 4426, 1012, 2612, 1010, 2009, 2097, 2022, 3733, 2000, 7200, 2070, 4066, 1997, 6682, 1997, 2035, 6777, 18963, 2043, 1996, 4316, 2030, 15653, 6238, 8005, 2185, 1010, 2007, 1996, 3716, 2008, 2115, 2147, 2003, 2864, 1012, 2672, 2017, 2024, 2128, 5302, 9247, 2075, 2115, 2775, 1005, 1055, 2793, 2282, 2085, 2008, 2027, 2024, 1037, 2210, 3080, 1998, 3791, 1037, 2062, 5412, 5010, 1012, 2017, 2453, 5587, 2328, 1999, 15475, 2362, 2007, 1037, 2328, 1999, 3274, 4624, 2030, 2972, 2813, 9972, 1012, 2047, 20452, 2030, 4799, 8158, 2089, 2022, 2007, 2115, 11376, 2004, 2092, 1012, 2017, 2097, 2031, 2000, 12666, 1037, 13666, 2000, 7697, 2041, 1996, 2214, 10135, 2075, 2004, 2092, 2004, 16500, 1996, 14751, 10135, 2075, 1012, 2017, 2031, 2288, 2000, 9278, 1037, 15653, 6238, 2000, 11027, 2035, 1996, 2214, 10135, 2075, 2004, 2092, 2004, 11385, 1012, 2023, 2089, 4025, 2066, 2019, 8216, 3357, 1010, 2174, 1010, 2065, 2017, 1005, 2128, 15958, 5462, 2000, 9344, 2041, 2115, 2878, 3200, 1010, 2030, 2130, 1996, 7381, 2030, 8102, 1010, 2017, 2024, 3497, 2000, 2424, 2008, 2017, 10295, 1037, 2843, 1997, 29132, 4688, 2105, 1012, 7167, 1997, 2111, 2514, 10339, 2030, 5191, 2055, 19120, 2205, 2172, 29132, 2041, 2005, 2010, 2030, 2014, 4882, 15373, 4744, 1010, 1998, 2023, 2064, 2468, 2019, 8016, 2025, 4909, 1996, 11669, 2041, 1997, 2115, 2188, 1012, 2131, 2105, 1996, 19777, 2015, 2011, 9278, 2075, 1996, 15653, 6238, 2013, 1037, 16360, 23056, 2194, 1012, 6517, 2000, 2360, 1010, 2045, 2024, 2195, 4895, 13231, 27730, 1010, 4895, 11020, 21531, 16203, 11669, 8208, 11578, 2041, 2045, 2029, 15653, 5167, 17800, 1012, 2191, 2469, 2000, 2424, 1037, 11669, 8208, 2449, 2008, 2038, 1037, 7637, 3085, 11147, 1998, 2759, 6475, 2000, 2644, 3471, 1012, 2017, 2071, 4298, 3828, 16653, 2182, 1010, 2174, 2009, 4455, 2005, 6937, 7680, 1997, 2769, 2000, 2468, 2985, 2006, 2115, 2740, 3314, 2306, 2115, 2379, 2925, 3432, 2138, 4487, 13102, 18606, 2023, 2785, 1997, 4121, 5949, 2006, 2079, 2009, 4426, 7336, 7564, 1997, 3947, 1010, 6912, 1998, 2558, 5211, 2004, 2092, 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, 2026, 3025, 9927, 8466, 6936, 2339, 2017, 2342, 12978, 7809, 10813, 2015, 1998, 10247, 2005, 2893, 2318, 2091, 2008, 4130, 1012, 2438, 2831, 1010, 2009, 2003, 2051, 2005, 2895, 999, 2023, 3720, 2097, 3328, 2083, 4292, 2039, 2019, 12978, 7809, 10813, 13117, 2478, 1996, 2110, 2241, 3921, 2005, 2417, 5867, 1005, 1055, 29296, 2689, 19309, 1012, 1045, 3856, 2023, 6994, 2000, 2707, 2007, 2138, 2009, 2003, 3733, 2000, 16437, 1010, 17409, 2015, 2007, 7020, 5244, 1010, 1998, 1012, 1012, 1012, 2092, 1012, 1012, 1012, 1045, 2525, 2018, 1037, 9703, 16437, 1012, 1045, 1005, 1049, 2036, 1037, 2210, 25352, 2875, 2417, 5867, 1005, 1055, 6994, 2075, 1012, 2061, 2045, 1005, 1055, 2008, 1012, 1996, 2203, 3125, 1997, 2023, 3720, 2003, 2005, 2017, 2000, 2031, 1037, 2551, 6947, 1997, 4145, 2005, 2017, 2000, 9703, 1012, 2005, 2023, 9703, 2017, 2097, 2342, 1037, 29296, 8241, 6013, 2770, 1010, 2019, 24318, 21296, 6013, 1998, 1037, 25022, 8241, 1012, 1045, 16755, 2478, 1037, 16475, 4044, 2030, 2115, 2334, 3698, 2005, 2023, 6947, 1997, 4145, 1012, 2017, 2097, 2342, 1996, 2206, 6994, 2075, 1012, 1996, 4973, 2445, 2224, 2136, 12972, 1998, 5443, 3215, 1013, 1056, 10343, 1012, 2004, 2017, 2097, 2156, 2101, 1010, 1996, 4563, 8474, 1998, 21318, 2005, 2035, 1996, 25022, 5906, 2097, 2022, 2200, 2714, 1012, 1011, 24318, 21296, 1024, 1011, 2417, 5867, 29296, 6994, 21561, 1011, 2131, 2403, 1011, 2154, 2489, 3979, 2182, 1012, 1011, 25022, 6994, 1006, 4060, 2028, 1007, 1024, 1011, 29296, 8241, 2968, 2996, 1006, 7020, 5244, 1007, 1024, 1011, 8816, 2005, 2489, 2182, 1012, 1011, 29296, 8241, 1024, 1045, 1005, 1049, 2025, 2183, 2000, 3328, 2017, 2083, 2129, 2000, 16500, 2216, 5906, 1012, 2023, 3720, 2052, 2022, 2531, 5530, 2146, 2065, 1045, 2106, 2008, 1012, 2065, 2017, 2448, 2046, 3314, 3531, 2175, 2000, 1996, 21431, 1005, 1055, 4037, 2005, 2151, 2393, 1012, 2065, 2017, 2342, 2151, 2393, 23658, 24318, 21296, 3531, 2707, 2007, 2256, 9986, 2015, 2030, 3967, 2490, 1012, 2023, 2003, 1996, 3698, 2073, 2057, 2097, 2022, 2437, 1996, 8040, 28433, 3431, 1998, 9361, 2068, 2046, 3120, 2491, 1012, 2043, 2017, 16500, 2417, 5867, 1005, 1055, 29296, 6994, 21561, 2017, 2097, 2022, 25732, 2000, 16500, 3243, 1037, 2978, 1997, 4007, 1012, 2017, 2069, 2342, 2000, 16500, 1996, 2206, 1024, 1011, 29296, 3120, 2491, 1011, 29296, 25732, 1006, 2009, 3475, 1005, 1056, 3223, 1010, 2021, 2009, 3084, 2115, 2166, 2061, 2172, 6082, 1007, 1011, 7020, 5244, 8346, 5308, 2119, 24318, 21296, 1998, 2417, 5867, 2031, 13354, 1011, 16021, 2005, 1996, 2350, 3857, 14903, 1012, 23658, 2019, 24318, 9311, 18630, 2006, 29296, 8241, 2003, 1037, 2502, 2053, 1011, 2053, 1012, 1996, 12653, 3632, 2046, 2582, 4751, 2339, 1012, 2612, 1010, 2057, 2097, 16500, 1996, 9311, 18630, 2006, 1037, 5376, 3482, 2029, 7719, 2090, 24318, 21296, 1998, 29296, 8241, 1012, 2005, 3036, 5682, 1010, 1045, 16755, 2770, 1996, 9311, 18630, 2004, 1037, 3563, 5310, 4070, 1012, 2023, 2126, 2017, 2064, 2191, 2224, 1997, 6377, 3036, 1012, 2182, 2003, 2070, 12653, 2006, 2129, 2000, 9530, 8873, 27390, 2063, 2008, 1012, 2562, 1999, 2568, 2008, 2069, 2573, 2065, 2017, 2024, 2478, 3161, 14176, 1012, 2065, 2017, 2024, 2025, 2478, 2008, 1010, 2017, 2064, 2145, 2224, 2023, 2832, 1010, 2017, 2097, 2074, 2342, 2000, 2224, 29296, 5198, 2612, 1012, 2005, 1996, 5376, 3482, 2017, 2097, 2342, 2000, 16500, 1996, 2206, 5167, 1024, 1011, 29296, 2689, 19309, 4204, 18223, 1017, 1012, 1014, 1012, 1011, 29296, 2689, 19309, 1012, 2005, 2023, 3328, 1011, 2083, 1010, 1045, 6310, 1996, 6721, 28940, 12184, 2015, 2622, 2109, 1999, 3025, 2097, 2009, 21296, 6876, 1012, 2065, 2017, 4033, 1005, 1056, 2018, 1996, 3382, 2000, 4638, 2068, 2041, 2017, 2024, 4394, 2041, 1012, 2079, 4426, 1037, 5684, 1998, 3422, 2068, 1012, 2169, 2792, 2003, 2105, 2321, 2781, 1012, 2017, 2064, 2424, 1996, 2377, 9863, 2182, 1012, 1996, 3120, 3642, 2005, 2023, 7099, 2064, 2022, 2179, 2182, 1012, 2017, 2097, 2342, 2000, 9292, 2023, 22409, 2061, 2017, 2064, 2191, 12719, 2000, 2009, 2101, 1999, 2023, 3720, 1012, 9530, 8873, 27390, 2075, 1996, 25022, 1013, 3729, 13117, 2673, 2017, 2342, 2003, 2525, 7039, 2046, 3120, 2491, 1012, 2035, 2057, 2342, 2000, 2079, 2003, 3857, 2009, 1998, 5245, 2009, 2041, 2000, 1996, 29296, 8241, 1012, 24318, 21296, 9563, 2017, 2097, 2342, 1996, 3357, 23561, 2015, 2013, 2417, 5867, 2000, 3443, 1037, 7809, 2713, 1998, 21296, 1037, 7809, 2713, 1012, 2043, 2017, 2024, 11347, 2075, 1996, 3357, 23561, 2017, 2453, 5060, 1996, 3357, 23561, 2000, 21296, 3495, 2013, 1037, 7427, 1012, 1996, 2110, 1011, 2241, 15380, 2005, 29296, 2689, 19309, 2573, 2011, 13599, 1996, 2110, 1997, 1996, 7809, 8250, 1999, 1996, 16371, 18150, 7427, 2007, 1996, 7688, 7809, 1012, 2169, 2051, 2009, 3216, 2009, 9005, 1037, 2047, 2275, 1997, 7160, 14546, 2000, 6611, 1012, 2138, 1997, 2008, 1010, 1996, 6749, 2832, 2003, 1024, 1011, 8816, 1996, 7809, 7427, 3031, 1996, 5376, 3482, 1012, 1011, 3443, 1996, 7160, 5896, 2011, 13599, 1996, 7427, 2006, 1996, 5376, 3482, 2007, 1996, 7809, 2006, 29296, 8241, 1012, 1011, 3319, 1996, 7160, 5896, 1006, 2064, 2022, 16791, 1999, 16475, 1007, 1012, 1011, 2448, 1996, 5896, 2006, 29296, 8241, 2478, 1996, 9311, 18630, 2006, 1996, 5376, 3482, 1012, 2478, 1996, 3357, 23561, 2000, 21296, 2013, 1996, 7427, 16263, 1996, 3754, 2000, 3319, 1996, 14546, 1012, 2023, 2003, 1996, 2832, 1045, 2031, 2404, 2362, 2005, 21296, 2075, 17881, 1012, 1045, 2572, 1037, 3813, 24591, 1997, 2383, 5906, 5047, 2035, 1996, 6410, 2147, 2005, 2033, 1012, 2023, 2003, 2339, 2026, 2832, 2097, 3443, 1996, 2364, 29296, 5310, 2005, 1996, 7809, 1010, 1996, 7809, 1010, 5587, 1996, 29296, 5310, 2000, 1996, 7809, 1010, 1998, 1996, 5310, 2000, 1996, 2535, 1012, 2065, 2017, 2215, 2115, 2832, 2000, 2079, 2008, 1010, 2017, 2064, 8816, 2216, 3357, 23561, 2015, 2013, 1996, 24318, 2451, 3357, 23561, 3075, 1012, 2017, 2123, 1005, 1056, 2031, 2000, 5587, 2035, 2008, 15380, 1012, 2023, 2003, 1996, 2927, 1997, 2115, 12978, 7809, 10813, 4990, 1012, 4346, 2008, 2172, 19309, 2064, 2022, 2200, 12459, 2302, 19836, 1996, 2832, 1012, 3294, 3305, 3085, 1012, 1996, 2364, 4084, 2017, 2342, 2013, 1996, 2682, 12117, 12326, 2024, 1024, 2292, 1005, 1055, 2175, 3805, 1998, 3328, 2083, 2169, 2028, 1012, 1996, 8816, 1037, 7427, 3357, 2003, 2200, 19647, 1010, 2053, 7661, 10906, 4998, 2013, 8130, 1996, 7427, 2171, 1012, 1996, 2417, 5867, 1011, 3443, 7809, 2713, 3357, 2003, 1037, 2210, 2062, 5875, 1012, 2054, 9109, 2039, 2087, 2111, 2003, 1996, 9167, 4130, 1012, 1996, 9167, 4130, 2003, 2073, 1996, 7160, 5896, 2097, 2022, 15612, 2000, 1012, 2023, 3791, 2000, 2022, 1037, 14176, 2648, 1997, 1996, 24318, 21296, 9311, 18630, 19622, 1012, 2023, 2003, 2138, 1996, 1000, 2417, 5867, 1011, 21296, 2013, 7809, 2713, 1000, 3357, 3791, 3229, 2000, 2008, 4130, 1998, 1996, 9311, 18630, 19622, 2097, 2022, 2367, 2005, 2169, 3357, 1012, 2054, 1045, 2066, 2000, 2079, 2003, 2224, 1037, 2622, 8023, 1012, 1996, 2440, 3643, 1997, 1996, 8023, 2003, 1024, 2060, 11433, 2006, 2023, 3898, 1024, 1011, 2017, 2097, 2036, 5060, 1045, 2031, 8127, 1996, 5310, 18442, 1998, 20786, 1012, 1045, 16755, 2478, 6377, 3036, 1998, 2383, 1996, 9311, 18630, 2770, 2004, 1037, 3563, 2326, 4070, 1012, 1045, 2123, 1005, 1056, 2031, 3161, 14176, 16437, 2006, 2026, 3231, 3698, 2061, 29296, 5198, 2009, 2003, 2005, 2023, 9703, 1012, 1011, 2202, 1037, 2298, 2012, 1996, 12398, 29296, 12826, 7047, 1998, 2191, 2469, 2027, 2674, 2039, 2007, 2054, 2017, 2215, 1012, 2065, 2027, 2123, 1005, 1056, 2059, 2017, 2097, 2342, 2000, 4425, 1996, 3924, 2017, 2215, 1999, 1996, 1000, 29296, 12826, 7047, 1006, 11887, 1007, 1000, 8023, 1012, 2017, 2064, 3193, 1996, 12653, 2182, 1012, 2065, 2017, 2079, 5630, 2000, 2175, 1996, 2799, 1997, 7661, 7047, 1045, 16755, 4526, 1037, 8023, 1999, 1037, 3075, 8023, 2275, 2061, 2216, 7047, 2064, 2022, 4207, 2408, 2116, 3934, 1012, 1011, 2224, 1037, 7661, 11307, 1999, 1996, 2724, 2017, 2215, 2000, 5787, 2054, 1996, 10813, 2832, 2064, 2689, 1012, 1045, 2626, 1037, 12401, 9927, 2695, 2006, 2129, 2000, 2079, 2008, 2182, 1012, 2026, 3167, 12157, 2003, 2000, 11307, 2041, 2035, 5198, 1998, 2292, 1996, 16962, 3022, 6133, 2068, 1012, 2130, 2488, 1010, 2292, 24318, 6133, 2068, 2144, 2009, 2064, 5047, 4483, 5966, 1012, 1996, 2279, 3357, 2003, 10439, 22046, 1996, 7809, 2713, 1012, 1045, 16755, 4526, 1037, 7661, 2136, 2000, 2022, 3625, 2005, 2023, 1012, 2026, 12157, 2003, 2000, 13558, 2023, 3357, 1999, 16475, 1998, 1053, 2050, 1012, 1996, 3443, 7809, 2713, 3357, 3084, 2224, 1997, 1996, 20785, 15380, 2328, 2046, 24318, 21296, 1012, 2023, 4473, 1996, 14300, 2099, 2000, 8816, 1996, 6764, 1998, 3319, 2068, 1012, 1996, 2345, 3357, 2003, 21296, 2075, 1996, 7809, 2713, 1012, 2023, 3357, 3138, 1996, 7160, 5896, 1999, 1996, 9167, 2951, 4130, 1998, 3216, 2009, 2006, 1996, 4539, 8241, 1012, 2023, 2003, 2339, 1045, 16755, 5128, 1996, 9167, 4130, 1999, 1037, 8023, 1012, 2008, 2003, 2009, 2005, 1996, 24318, 21296, 9563, 1012, 2085, 2009, 2003, 2051, 2000, 2693, 2006, 2000, 1996, 3857, 8241, 1012, 3857, 8241, 9563, 2005, 2023, 9927, 2695, 1010, 1045, 2097, 2022, 2478, 5443, 3215, 1013, 1056, 10343, 1998, 2136, 12972, 1012, 1996, 3857, 2323, 1010, 2012, 1037, 2560, 1010, 2079, 1996, 2206, 1024, 1011, 3857, 1037, 16371, 18150, 7427, 4820, 1996, 7809, 2110, 2478, 1996, 2417, 5867, 13354, 1011, 1999, 1012, 1011, 5245, 2008, 7427, 2000, 24318, 21296, 2478, 1996, 24318, 21296, 13354, 1011, 1999, 1012, 1011, 3443, 1037, 2713, 2005, 1996, 7427, 2029, 2001, 2074, 3724, 2478, 1996, 24318, 21296, 13354, 1011, 1999, 1012, 1011, 21296, 2008, 2713, 2478, 1996, 24318, 21296, 13354, 1011, 1999, 1012, 5443, 3215, 1013, 1056, 10343, 3857, 2069, 2093, 4084, 2024, 2734, 1999, 5443, 3215, 1013, 1056, 10343, 2000, 3857, 1998, 21296, 1037, 7809, 1012, 1996, 2034, 3357, 2097, 3857, 1996, 7809, 7427, 2013, 3120, 2491, 1012, 1996, 5167, 11548, 2024, 1996, 3924, 2017, 2342, 2000, 2689, 1012, 1996, 4942, 10371, 2121, 4130, 8023, 2003, 5816, 1012, 1045, 2572, 2478, 7099, 21025, 2102, 16360, 2080, 2029, 2003, 2339, 1045, 2031, 1996, 1000, 2417, 5867, 2015, 4160, 29358, 22043, 4887, 20389, 10708, 12259, 15058, 2094, 1000, 19622, 1999, 1996, 4130, 1012, 1996, 5245, 7427, 2000, 24318, 3357, 2064, 2022, 1037, 2210, 24026, 1012, 2017, 2342, 2000, 2113, 1996, 2440, 4130, 2000, 1996, 20785, 7013, 2011, 1996, 3025, 3357, 1012, 1045, 1005, 1049, 2025, 2531, 1003, 2469, 2129, 2017, 2052, 2113, 2302, 3979, 1998, 7561, 1012, 2182, 2003, 1996, 2440, 3643, 1999, 2553, 2017, 4299, 2000, 6100, 2009, 1012, 1996, 24318, 21296, 8241, 2442, 2022, 26928, 1999, 5443, 3215, 1013, 1056, 10343, 1012, 2017, 2064, 2156, 2129, 2000, 2079, 2008, 2011, 2183, 2000, 2256, 12653, 1012, 1996, 2197, 3357, 2003, 2000, 3443, 1037, 2713, 1998, 21296, 2009, 2000, 16475, 1012, 2044, 7176, 1010, 5443, 3215, 1013, 1056, 10343, 2007, 24318, 21296, 2017, 2097, 2022, 2583, 2000, 3191, 2035, 1996, 2622, 3415, 1012, 2017, 2064, 2036, 9530, 8873, 27390, 2063, 2023, 3357, 2000, 21296, 1996, 2713, 2000, 16475, 1012, 22042, 1996, 1000, 2265, 10813, 5082, 1000, 2097, 2644, 1996, 3857, 1998, 2486, 2009, 2000, 3524, 2006, 24318, 2000, 3143, 1012, 1996, 2136, 12972, 16437, 2003, 2200, 2714, 2000, 1996, 5443, 3215, 1013, 1056, 10343, 16437, 1012, 2069, 2093, 4084, 2024, 2734, 1012, 1996, 2034, 3357, 1010, 1996, 3857, 7809, 7427, 3357, 1010, 2038, 2714, 7047, 2000, 5443, 3215, 1013, 1056, 10343, 1012, 2017, 2097, 2342, 2000, 4607, 1999, 1996, 19622, 2004, 2092, 2004, 1996, 2171, 1997, 1996, 7427, 1012, 1996, 22652, 2003, 2017, 2031, 2000, 4607, 1999, 1037, 7427, 2544, 1999, 1996, 3935, 7047, 1012, 2065, 2017, 2123, 1005, 1056, 2059, 2017, 2097, 2707, 2893, 6721, 10697, 2013, 1996, 2417, 5867, 6994, 2075, 3038, 2242, 2055, 2019, 19528, 7427, 2544, 1012, 1996, 10172, 7427, 3357, 5942, 2035, 2093, 1997, 1996, 7047, 2000, 2022, 10357, 1012, 2011, 12398, 1010, 1996, 2417, 5867, 6994, 2097, 3443, 1996, 16371, 18150, 7427, 1999, 1996, 7117, 2551, 14176, 1012, 1996, 2345, 3357, 2003, 4526, 1998, 21296, 2075, 1996, 2713, 1012, 2200, 2714, 2000, 2077, 1010, 2017, 3073, 1996, 2171, 1997, 1996, 2622, 1010, 1996, 2713, 2193, 1998, 1996, 4044, 2017, 4299, 2000, 21296, 2000, 1012, 1996, 25022, 1013, 3729, 13117, 1999, 2895, 2085, 2009, 2003, 2051, 2000, 2156, 2035, 1997, 2023, 1999, 2895, 1012, 2005, 2023, 9703, 1010, 1045, 2097, 2022, 4526, 1037, 2047, 7809, 1010, 6721, 28940, 12184, 2015, 1035, 9927, 19894, 1035, 16475, 1012, 2004, 2017, 2064, 2156, 1045, 2079, 2025, 2031, 2151, 17881, 2007, 2008, 2171, 1012, 2017, 2064, 2156, 1045, 2031, 2109, 2023, 29296, 8241, 2004, 2026, 3231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2292, 2033, 8970, 2017, 2000, 2026, 2767, 7112, 8233, 1010, 2030, 1000, 6638, 3124, 1010, 1000, 2004, 2002, 7777, 2000, 2022, 2170, 1012, 2292, 2033, 8970, 2017, 2000, 2026, 2767, 7112, 8233, 1010, 2030, 1523, 6638, 3124, 1010, 1524, 2004, 2002, 7777, 2000, 2022, 2170, 1012, 6638, 3124, 3268, 1999, 2047, 2259, 2103, 1010, 2003, 1037, 5160, 1010, 1998, 2058, 1996, 2197, 2093, 2030, 2176, 2086, 1010, 2038, 13237, 1037, 2117, 2476, 2004, 1037, 2658, 2833, 3213, 1517, 1998, 1037, 4365, 2204, 2028, 1010, 2205, 1012, 2012, 3590, 1010, 6638, 3124, 2001, 2028, 1997, 1996, 6587, 2273, 2000, 2663, 1996, 2508, 10154, 2400, 2005, 2833, 8083, 1012, 2070, 2060, 5875, 8866, 1024, 6638, 3124, 8617, 1037, 10920, 1011, 9044, 1010, 2852, 13669, 2075, 28628, 2315, 3566, 2080, 1010, 6638, 3124, 7777, 2000, 4929, 3869, 6471, 1010, 1998, 2002, 2038, 2019, 5242, 3557, 1011, 2066, 2564, 2008, 4703, 3727, 2005, 2706, 2006, 13039, 9109, 2083, 8222, 1010, 13906, 1010, 1998, 2060, 2521, 1011, 14016, 4655, 1997, 1996, 3011, 1012, 6638, 3124, 1521, 1055, 2036, 1996, 2522, 1011, 3910, 1997, 2026, 2833, 4773, 2609, 1010, 1041, 24848, 7485, 1012, 4012, 1012, 6638, 3124, 2003, 1037, 3645, 5310, 1010, 2074, 2066, 2087, 2111, 2008, 2224, 1037, 7473, 1012, 2061, 1010, 2009, 2234, 2004, 2242, 1997, 1037, 4474, 2043, 2028, 2154, 2002, 2170, 2033, 4851, 2005, 2393, 1012, 1006, 2009, 3849, 1045, 1521, 1049, 1996, 6319, 3274, 6739, 2426, 2026, 2177, 1997, 2814, 1998, 2155, 1012, 1007, 1996, 4512, 2253, 2242, 2066, 2023, 1024, 1523, 1045, 1521, 1049, 5305, 1997, 2893, 2035, 2122, 16477, 18191, 1998, 8645, 8059, 999, 2064, 1521, 1056, 2017, 2079, 2242, 1029, 2023, 2003, 1037, 7279, 16398, 1018, 2008, 1521, 1055, 2069, 2048, 2086, 2214, 1010, 1998, 2009, 1521, 1055, 2183, 2004, 4030, 2004, 1037, 24921, 2013, 2035, 1996, 10231, 2008, 1521, 1055, 18856, 8649, 4726, 2009, 2039, 999, 1524, 1523, 2092, 1010, 2057, 2071, 2128, 1011, 16500, 3645, 1998, 2404, 2006, 2070, 2062, 9376, 8645, 8059, 1010, 2543, 9628, 1010, 1998, 3424, 1011, 7865, 4007, 1010, 2021, 3383, 2017, 2323, 5136, 3048, 2058, 2000, 11603, 1012, 1524, 1523, 11603, 1029, 2017, 2812, 1996, 8241, 9808, 2057, 2224, 2005, 1041, 24848, 7485, 1029, 2006, 2026, 7473, 1029, 2054, 2055, 21778, 3314, 1029, 2054, 2055, 2035, 1997, 2026, 6764, 1029, 2003, 2009, 2008, 2172, 6211, 2000, 2224, 2084, 3645, 1029, 1524, 1523, 2123, 1521, 1056, 4737, 1010, 2009, 1521, 2222, 2035, 2147, 1012, 11603, 2038, 2428, 5407, 1037, 2843, 2488, 2005, 15363, 2224, 3728, 1012, 1524, 1523, 3100, 1010, 2021, 1045, 2215, 2000, 2022, 2583, 2000, 7065, 8743, 2000, 3645, 1999, 2553, 2023, 10338, 8067, 9856, 5679, 1997, 6737, 2987, 1521, 1056, 2147, 1012, 1524, 1523, 2053, 3291, 1012, 2021, 2123, 1521, 1056, 4737, 1012, 2009, 1521, 2222, 2147, 1012, 1045, 4872, 1012, 1524, 2061, 1010, 2028, 5027, 1010, 1045, 2253, 2058, 2000, 2010, 4545, 1010, 4273, 2007, 2035, 2026, 3645, 4007, 1006, 2323, 2057, 2342, 2000, 19222, 9080, 2140, 2505, 1007, 1998, 2035, 2026, 11603, 4487, 3367, 7352, 1010, 2164, 1996, 2536, 9573, 3085, 1010, 2444, 14340, 1045, 1521, 2310, 5067, 2005, 8051, 2139, 8569, 12588, 1998, 5343, 8146, 1012, 2028, 1997, 2026, 5440, 4487, 3367, 7352, 2003, 1996, 11603, 9573, 3085, 2449, 4003, 1006, 1048, 26807, 1011, 4035, 1010, 8299, 1024, 1013, 1013, 7479, 1012, 1048, 26807, 10322, 2278, 1012, 4012, 1007, 1012, 2009, 1521, 1055, 2074, 2502, 2438, 2000, 5383, 2087, 1997, 1996, 3454, 2017, 2342, 2005, 2139, 8569, 12588, 1037, 2291, 1998, 5604, 1010, 2021, 1996, 2561, 8417, 4906, 2006, 2028, 1997, 2216, 2449, 1011, 4003, 1011, 7451, 14340, 1010, 2061, 2017, 2064, 2562, 2009, 1999, 2115, 15882, 2012, 2035, 2335, 1012, 1045, 2036, 3728, 2031, 2468, 13545, 1997, 14161, 7361, 8197, 2595, 1006, 8299, 1024, 1013, 1013, 7479, 1012, 14161, 7361, 8197, 2595, 1012, 8917, 1007, 1010, 2029, 2003, 2019, 2972, 4487, 3367, 3217, 3561, 2007, 2058, 7706, 3454, 1998, 1037, 2440, 1011, 10676, 2544, 1997, 1047, 3207, 1012, 2049, 2204, 2005, 2437, 2469, 2619, 1521, 1055, 8051, 2003, 1037, 14874, 4018, 2005, 11603, 1010, 1998, 14161, 7361, 8197, 2595, 3397, 26458, 5097, 2107, 2004, 1053, 25856, 24847, 2094, 1010, 1999, 2553, 2017, 2342, 2000, 24501, 4697, 2019, 23961, 10343, 2030, 6638, 16703, 13571, 2000, 2191, 2686, 2005, 11603, 1012, 1999, 2023, 2553, 1010, 2174, 1010, 1045, 2787, 2000, 2507, 6638, 3124, 2028, 1997, 2026, 8622, 2524, 23999, 1010, 1037, 6036, 16351, 4098, 4263, 1010, 2138, 2010, 2871, 16351, 2524, 3298, 2001, 2440, 1006, 2062, 2006, 2008, 1999, 1037, 2617, 1007, 1998, 1045, 2134, 1521, 1056, 2215, 2000, 3891, 2151, 1997, 1996, 2951, 2006, 2010, 3698, 1012, 2002, 1521, 1040, 2036, 3497, 14387, 2010, 28628, 2006, 2033, 2065, 1045, 28516, 7690, 2010, 16437, 1010, 1998, 1045, 1521, 1049, 2738, 13545, 1997, 2026, 4654, 7913, 22930, 3111, 1012, 1996, 2524, 9785, 16500, 2253, 27503, 2135, 1012, 2057, 4987, 2009, 2000, 1996, 3905, 8909, 2063, 4677, 1998, 2275, 2009, 2039, 2004, 1037, 3040, 1999, 2010, 12418, 7473, 1012, 2279, 2234, 1996, 3247, 1997, 2029, 11603, 4487, 3367, 3217, 2000, 16500, 1012, 2004, 6638, 3124, 2001, 2183, 2000, 2022, 1037, 2047, 11603, 5310, 1010, 1045, 4081, 2057, 2175, 2007, 1060, 5685, 7352, 15363, 1016, 1010, 2029, 4876, 23150, 2015, 1996, 3645, 15363, 3325, 1010, 16500, 2015, 4089, 1010, 1998, 2038, 2200, 2204, 8346, 2007, 3645, 6764, 1998, 3645, 6125, 1012, 2108, 2139, 15599, 1011, 2241, 1010, 2009, 2036, 2038, 1996, 3754, 2000, 16500, 1037, 6565, 3075, 1997, 5097, 2013, 1996, 2139, 15599, 1523, 5604, 1524, 1998, 1523, 14480, 1524, 16360, 20049, 29469, 2229, 2323, 2057, 2342, 2070, 4933, 2008, 2134, 1521, 1056, 2272, 2007, 1060, 5685, 7352, 1012, 2057, 2253, 2091, 1996, 2862, 1997, 4933, 2008, 6638, 3124, 2052, 2342, 1012, 2002, 2734, 2019, 2436, 7621, 2008, 2071, 3191, 2010, 7513, 2436, 5491, 1010, 2004, 2002, 2038, 1037, 4121, 3075, 1997, 3423, 23561, 2015, 1998, 3572, 2008, 2002, 1521, 1055, 2499, 2006, 1012, 1996, 2436, 7621, 2052, 2022, 3024, 2011, 2330, 7245, 6610, 1012, 8917, 1015, 1012, 1015, 1010, 2029, 3310, 3653, 1011, 5361, 2007, 1060, 5685, 7352, 1012, 2004, 1037, 2991, 5963, 1010, 2057, 2052, 2036, 2128, 1011, 16500, 2010, 4493, 6100, 1997, 7513, 2436, 2456, 2478, 1996, 16335, 2436, 21778, 4007, 2008, 2036, 3310, 2007, 1060, 5685, 7352, 1012, 7107, 24732, 1010, 6302, 9260, 1010, 1998, 26221, 2490, 2052, 2022, 3024, 2011, 11721, 5714, 1012, 6255, 1010, 21025, 8737, 1016, 1012, 1014, 1010, 1998, 1060, 8791, 2063, 1010, 4414, 1010, 2029, 2057, 2052, 16500, 2013, 1996, 2139, 15599, 5604, 14172, 1012, 2010, 10373, 1998, 16602, 3791, 2052, 2022, 2777, 2011, 9587, 5831, 4571, 1010, 12849, 2078, 4226, 29165, 1010, 1998, 6622, 1010, 29221, 5257, 1997, 2216, 2002, 3092, 2039, 2087, 6625, 2007, 1012, 1996, 1060, 5685, 7352, 16500, 2006, 1996, 2047, 2524, 3298, 2253, 2986, 1010, 2021, 2007, 2028, 3576, 27738, 1024, 2057, 3603, 2008, 1996, 12418, 16012, 2015, 2001, 4292, 1996, 2524, 9785, 2004, 8285, 1010, 1998, 1996, 3698, 4188, 2000, 9573, 1996, 9808, 2044, 8272, 1012, 2044, 11273, 2116, 27885, 11020, 18595, 7368, 1010, 14488, 2000, 1996, 5932, 1010, 2725, 1996, 3979, 1998, 7561, 3153, 1010, 1998, 2725, 2070, 4248, 2470, 2006, 1996, 1520, 5658, 1010, 2057, 3603, 2008, 2065, 2057, 21118, 3133, 1996, 3298, 10988, 2005, 4641, 1998, 11105, 1998, 3298, 2828, 1999, 1996, 16012, 2015, 1010, 2673, 2499, 2986, 1012, 1060, 14526, 1010, 1996, 8389, 4003, 1010, 2614, 4003, 1010, 1998, 14048, 3492, 2172, 2253, 27503, 2135, 1012, 1060, 5685, 7352, 7919, 11156, 2010, 1050, 17258, 2401, 8389, 15581, 2121, 1010, 2010, 2006, 1011, 2604, 2614, 9090, 1010, 1998, 2010, 2897, 4003, 1010, 1998, 8073, 26928, 2010, 12997, 4769, 3081, 28144, 21906, 2013, 2010, 6971, 7274, 2799, 2099, 1012, 3645, 2147, 17058, 1998, 2897, 15041, 9563, 2001, 7199, 19647, 1010, 2004, 1060, 5685, 7352, 2038, 2204, 16437, 16548, 2005, 2008, 1999, 2049, 2491, 2415, 1012, 2010, 2897, 6661, 3662, 2039, 1010, 1998, 2897, 8021, 2000, 2010, 6522, 4624, 15759, 4987, 2000, 2010, 2060, 3645, 3482, 2499, 27503, 2135, 1012, 2061, 2521, 1010, 2061, 2204, 1012, 2005, 2010, 7473, 6904, 19612, 5576, 1010, 2057, 2787, 2006, 2478, 1041, 7011, 2595, 1012, 4012, 1010, 1998, 2275, 2010, 4070, 2000, 2224, 11135, 6764, 2005, 6016, 1998, 4909, 6904, 20156, 2612, 1997, 2049, 16350, 1012, 1041, 2546, 2595, 4289, 1012, 2279, 1010, 2275, 2039, 2010, 1041, 1011, 5653, 1012, 2821, 1010, 1996, 1041, 1011, 5653, 1012, 2004, 1045, 2001, 4292, 2039, 1996, 3769, 1998, 15488, 25856, 4070, 10906, 1999, 9587, 5831, 4571, 5653, 1010, 6638, 3124, 2056, 2242, 2008, 2741, 1037, 10720, 2091, 2026, 8560, 1012, 1523, 7910, 1010, 2017, 1521, 2128, 6069, 6100, 2026, 10373, 2058, 1010, 2157, 1029, 1524, 1523, 2339, 2052, 2017, 2342, 2000, 2079, 2008, 1029, 2017, 2812, 2017, 2123, 1521, 1056, 4550, 2041, 2115, 1999, 8758, 1029, 1524, 1523, 1045, 2064, 1521, 1056, 3972, 12870, 2505, 1012, 1045, 1521, 1049, 2019, 4905, 1012, 1045, 1521, 2222, 2022, 4487, 19022, 2906, 5596, 2065, 1045, 4558, 2151, 11061, 1012, 1045, 2031, 2000, 2562, 2035, 2026, 4933, 2005, 2066, 2416, 2086, 1012, 1998, 2065, 2017, 2064, 1521, 1056, 22806, 2009, 2058, 2000, 1996, 2047, 2291, 1010, 2045, 1521, 1055, 2053, 2391, 1999, 3048, 2058, 2000, 11603, 1012, 1045, 2342, 2000, 2022, 2583, 2000, 3229, 2009, 2012, 2035, 2335, 1012, 1524, 1523, 8529, 1010, 3100, 1010, 2008, 2323, 2022, 2825, 1012, 2054, 10373, 7396, 2079, 2017, 2224, 1029, 1524, 1523, 7513, 17680, 4671, 1010, 1996, 2028, 2008, 3310, 2007, 3645, 2456, 1012, 1523, 1523, 4151, 10231, 1010, 2053, 4687, 2017, 2020, 17949, 2055, 18191, 1012, 2092, 1010, 1045, 2228, 2027, 2031, 1037, 2126, 2000, 12324, 2008, 2046, 6622, 1010, 2021, 2057, 2089, 2031, 2000, 10463, 2009, 2046, 1037, 1012, 8827, 2102, 5371, 1010, 1996, 2951, 4289, 2008, 17680, 3594, 1010, 2025, 17680, 4671, 1012, 1524, 1523, 3100, 1010, 3649, 2017, 2360, 1010, 2074, 2191, 2009, 2147, 1012, 1524, 1523, 2469, 1012, 2053, 2502, 11239, 1012, 2129, 2502, 2003, 2115, 5653, 5371, 1029, 1524, 1523, 8529, 1010, 1045, 14145, 2080, 1010, 1045, 2031, 2673, 1045, 1521, 2310, 2412, 2741, 2030, 2363, 2183, 2067, 2000, 2639, 1012, 2026, 10373, 2003, 2026, 3167, 15242, 2291, 1012, 1045, 2064, 1521, 1056, 2079, 2302, 2151, 1997, 2009, 1012, 1524, 2061, 1010, 1045, 2246, 2012, 2010, 17680, 4671, 2951, 14176, 1012, 2009, 2001, 1022, 16351, 999, 1045, 2371, 1037, 10186, 3110, 1999, 2026, 4308, 1012, 2057, 2453, 2025, 4139, 2023, 2125, 2061, 4089, 1012, 1523, 3100, 1010, 1045, 2064, 2079, 2023, 1010, 1524, 1045, 2245, 1012, 1523, 1045, 1521, 2222, 2074, 2224, 1996, 1012, 16914, 2595, 12324, 9410, 2013, 6622, 1524, 1012, 2045, 2020, 2195, 2312, 1012, 16914, 2595, 6764, 9605, 6638, 3124, 1521, 1055, 10373, 1012, 1045, 2699, 12324, 2075, 1996, 5221, 2028, 2034, 1012, 10556, 5092, 5358, 999, 6622, 8007, 2524, 1012, 2008, 2106, 2025, 25927, 4859, 2092, 1012, 4593, 1010, 2045, 2024, 6585, 4725, 1997, 16401, 2107, 1037, 22953, 2497, 4667, 2532, 10440, 2078, 3645, 10373, 22409, 2058, 2000, 2242, 11603, 2071, 2224, 1010, 2021, 2027, 2920, 23658, 17680, 4671, 1521, 2502, 2567, 1010, 17680, 1010, 12324, 2075, 1996, 6764, 2046, 2009, 1010, 2725, 2019, 9167, 2000, 1037, 1012, 8827, 2102, 5371, 1010, 1998, 2059, 16401, 2008, 2058, 2000, 2242, 8699, 2008, 11603, 2071, 2224, 1010, 2066, 1037, 3115, 1057, 14194, 2361, 5653, 5371, 1012, 6854, 1010, 2070, 1997, 2216, 4725, 2920, 2070, 2738, 13109, 4817, 2100, 2353, 1011, 2283, 16548, 2000, 2079, 1996, 7584, 1012, 2178, 3117, 4118, 2920, 23658, 2019, 10047, 9331, 8241, 2006, 1037, 11603, 3482, 1010, 2383, 17680, 7532, 2000, 2008, 2000, 6100, 1996, 2951, 1010, 1998, 2059, 3048, 1996, 2951, 2125, 1996, 10047, 9331, 8241, 2000, 1996, 2047, 11603, 3698, 1012, 6854, 1010, 2057, 2134, 1521, 1056, 2031, 1037, 8622, 11603, 3482, 1010, 1998, 2010, 2951, 2001, 2205, 5294, 2000, 4604, 2058, 2000, 1041, 24848, 7485, 1012, 4012, 1521, 1055, 10047, 9331, 8241, 2130, 2058, 2010, 19595, 5830, 5549, 2213, 4434, 1012, 2061, 1010, 2008, 7709, 2001, 2041, 1010, 2205, 1012, 2061, 2211, 1996, 9145, 19863, 2063, 1041, 1012, 20457, 1011, 2066, 2832, 1997, 9167, 2075, 1996, 17680, 4671, 5653, 5371, 1998, 2667, 2296, 4118, 2825, 2000, 2131, 1996, 2951, 4991, 1012, 2034, 1010, 2057, 2018, 2000, 2489, 2039, 2686, 2006, 2010, 9530, 16643, 17585, 2094, 3645, 2524, 9785, 1012, 2057, 2333, 2035, 2010, 2436, 5491, 1998, 3617, 7760, 1517, 2035, 2184, 16351, 1997, 2009, 1517, 3031, 2010, 2188, 14176, 2006, 1996, 2047, 11603, 9785, 2011, 3191, 1011, 2069, 15986, 2010 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3931, 1019, 1997, 4805, 6866, 1024, 21981, 13323, 2570, 1010, 2263, 2184, 1024, 5709, 2572, 9317, 1010, 2570, 2255, 3637, 1019, 2847, 1012, 5027, 2125, 1010, 3274, 2147, 1010, 2059, 2000, 2902, 2000, 8116, 3336, 2005, 1037, 3507, 8696, 1012, 2777, 12120, 2012, 9726, 2012, 2055, 1018, 1024, 2184, 1012, 7020, 2227, 4139, 1013, 2811, 2227, 4139, 1010, 6070, 1001, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 1013, 1020, 2811, 1010, 3938, 1001, 1019, 1013, 1017, 1013, 1017, 1010, 5594, 1001, 1019, 1013, 1019, 2184, 1001, 2006, 2519, 1010, 1017, 2595, 12521, 2209, 2007, 15940, 21469, 2015, 1010, 16962, 2217, 23394, 1010, 16962, 23822, 2188, 2012, 2055, 1019, 1024, 2382, 6866, 1024, 10424, 2072, 13323, 2484, 1010, 2263, 1023, 1024, 2538, 2572, 5958, 1010, 2484, 2255, 1006, 1045, 1005, 1049, 2006, 2655, 2005, 1996, 2057, 1010, 2061, 4196, 2651, 1006, 5958, 1007, 2612, 1997, 5095, 1012, 4661, 12120, 2001, 9936, 1037, 5572, 1999, 3932, 1997, 1037, 2767, 1005, 1055, 5798, 1010, 1998, 1045, 2245, 2009, 2190, 2000, 2994, 2185, 2013, 1996, 2160, 1012, 3637, 1020, 17850, 1012, 1059, 2102, 1012, 16923, 1001, 1012, 2034, 2051, 2104, 10894, 2005, 3590, 2086, 1012, 6706, 2154, 2012, 2147, 1012, 12120, 5697, 2007, 2014, 5572, 1010, 2061, 1045, 2253, 2000, 1996, 9726, 2012, 2055, 1018, 1024, 2871, 1010, 2894, 1012, 3565, 2275, 5413, 2015, 1013, 5245, 1011, 11139, 1010, 2717, 3938, 10819, 1008, 14412, 4135, 2546, 2811, 1010, 2717, 3438, 10819, 1008, 2187, 2012, 2055, 1019, 1024, 2871, 1008, 2921, 1996, 2717, 2051, 9384, 6866, 1024, 21981, 13323, 2756, 1010, 2263, 1021, 1024, 4720, 2572, 9317, 1010, 2756, 2255, 3637, 1021, 2847, 5027, 1000, 2125, 1012, 1000, 2843, 1005, 1055, 1997, 3274, 2147, 2000, 2079, 1010, 2021, 2373, 2253, 2125, 1010, 2481, 1005, 1056, 2224, 26221, 2030, 15041, 1010, 2253, 2000, 9726, 2220, 2007, 12120, 2012, 1016, 1024, 2321, 1012, 3770, 1001, 2013, 2723, 1060, 1019, 10630, 1001, 2013, 1022, 1000, 1060, 1019, 12862, 1001, 2013, 2184, 1000, 1060, 1019, 20637, 1001, 2013, 2184, 1000, 1060, 1017, 1013, 1017, 1013, 1017, 3429, 1001, 1060, 2184, 3943, 1001, 1060, 2184, 5187, 1001, 1060, 2184, 6421, 1001, 1060, 1019, 3938, 1012, 1019, 1001, 1060, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 16791, 4563, 2147, 1011, 1011, 2477, 1045, 2018, 2000, 2131, 2589, 1012, 2187, 9726, 2012, 2055, 1017, 1024, 2382, 1012, 6866, 1024, 3103, 13292, 6185, 1010, 2263, 1023, 1024, 2410, 2572, 5095, 1010, 1015, 2281, 8738, 1024, 14414, 2283, 2197, 3944, 1012, 8823, 5699, 1999, 2536, 12090, 3596, 1012, 2045, 3632, 2026, 2279, 1020, 3134, 4276, 1997, 1000, 11867, 7630, 20800, 2420, 1000, 999, 2489, 1997, 2147, 10198, 1012, 4440, 2000, 2237, 2005, 6023, 1998, 6265, 2007, 12120, 1012, 2188, 1998, 2000, 1996, 9726, 2007, 2014, 1999, 1996, 5027, 1011, 1011, 2123, 1005, 1056, 3342, 2151, 2335, 1012, 1038, 2860, 1060, 2321, 2340, 1001, 1060, 2260, 2570, 1001, 1060, 2260, 3943, 1001, 1060, 2260, 3347, 17327, 2392, 26783, 3429, 1001, 1060, 1019, 1008, 3565, 2275, 5413, 1011, 2039, 1013, 5245, 1011, 2039, 3938, 10819, 2717, 5245, 1011, 2039, 1021, 1013, 2340, 1013, 2340, 1013, 1019, 1013, 1020, 1006, 2871, 1007, 2340, 1001, 1060, 1018, 1060, 1019, 1010, 1015, 1005, 2410, 1000, 1008, 1045, 1005, 1049, 2145, 1037, 2978, 4452, 1997, 26783, 3436, 2138, 1997, 11878, 2026, 2067, 1037, 2261, 3134, 1006, 2706, 1010, 2941, 1007, 3283, 1010, 2021, 2122, 2371, 2204, 1012, 2008, 1005, 1055, 2339, 1045, 1005, 1049, 2183, 2428, 3254, 2007, 2023, 1012, 2026, 2067, 22766, 1037, 2210, 5728, 1010, 2021, 2008, 2001, 2908, 2011, 1996, 2051, 1045, 2187, 1996, 9726, 1012, 6866, 1024, 12256, 13292, 6021, 1010, 2263, 1018, 1024, 4464, 7610, 6928, 1010, 1017, 2281, 3637, 1020, 17850, 1059, 2102, 1024, 18253, 1010, 1996, 2047, 9814, 2147, 1024, 2025, 2919, 1011, 1011, 6706, 1012, 2000, 9726, 2055, 1018, 1024, 2382, 2007, 12120, 2040, 2001, 2074, 2067, 2013, 1037, 3697, 4440, 2000, 2237, 1012, 5250, 6073, 2074, 2077, 27090, 1006, 1045, 4299, 1045, 2071, 2131, 2009, 2322, 2781, 2030, 2061, 1999, 5083, 1007, 1012, 7643, 3975, 26783, 2015, 2339, 2064, 1005, 1056, 1045, 3342, 2000, 4010, 2039, 2006, 2122, 1029, 1045, 2106, 1037, 2422, 2275, 2007, 16962, 2015, 2090, 1996, 2034, 1998, 2117, 2275, 1012, 3943, 1001, 1060, 2184, 6421, 1001, 1060, 1021, 6109, 1001, 1060, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 1013, 1020, 1008, 1008, 4293, 10819, 1013, 3438, 10819, 1013, 20341, 8586, 2188, 2055, 1019, 1024, 2382, 1008, 1037, 3167, 2190, 1010, 1045, 2903, 1010, 2302, 10443, 2083, 1037, 9129, 1997, 2214, 2636, 1012, 1045, 2371, 2066, 1045, 2876, 1005, 1056, 2022, 2583, 2000, 2191, 2440, 4520, 1010, 2061, 1045, 2001, 3492, 3407, 2000, 2514, 2066, 1045, 2018, 2028, 2062, 2187, 2006, 1996, 2197, 2275, 1010, 1998, 1045, 3724, 2009, 2039, 1012, 2699, 2005, 2193, 1021, 1010, 2021, 5881, 2431, 1011, 2126, 2039, 1012, 1008, 1008, 2153, 1010, 3492, 3407, 2000, 2191, 4520, 1011, 2408, 4606, 1015, 2006, 1996, 2197, 1012, 1045, 2153, 2699, 2005, 2193, 1021, 1010, 2021, 2069, 2288, 2009, 2067, 2055, 2130, 2007, 2026, 4451, 1006, 1045, 3046, 2000, 3288, 2122, 2000, 2026, 5551, 1007, 1012, 2145, 1010, 2009, 2323, 2131, 1037, 7615, 2013, 2848, 1010, 2061, 4276, 1996, 3947, 1012, 6866, 1024, 21981, 13292, 5709, 1010, 2263, 1022, 1024, 2322, 2572, 9317, 1010, 1019, 2281, 3637, 1019, 17850, 1012, 2006, 2655, 1012, 5027, 1000, 2125, 1000, 1012, 3274, 4933, 1010, 2499, 1999, 4497, 1010, 2000, 9726, 2007, 12120, 1010, 1017, 1024, 2382, 1012, 2013, 2723, 4578, 1010, 3429, 1001, 1060, 2184, 1010, 11502, 1001, 1060, 1021, 2723, 1009, 1022, 1000, 1010, 15376, 1001, 1060, 1019, 1010, 14993, 1001, 1060, 1019, 2723, 1009, 2184, 1000, 1010, 20549, 1001, 1060, 1019, 1013, 1019, 1013, 1019, 1008, 3565, 13462, 5413, 1011, 11139, 1013, 5245, 1011, 11139, 1010, 3938, 10819, 2717, 3943, 1001, 1060, 2260, 6191, 1001, 1060, 2260, 6640, 1001, 1060, 2260, 1008, 1008, 6866, 1024, 2938, 13292, 5511, 1010, 2263, 1023, 1024, 2538, 2572, 5095, 1010, 1022, 2281, 3637, 1024, 1020, 17850, 2053, 2147, 1012, 3740, 2000, 2147, 2041, 2012, 1017, 1012, 2187, 2160, 2012, 1017, 1024, 2382, 1010, 2106, 1016, 1000, 2613, 4248, 1000, 9413, 13033, 2015, 1010, 3369, 2012, 1996, 9726, 2012, 1019, 1024, 4002, 1012, 2007, 12120, 1012, 1038, 2860, 1060, 2321, 2175, 3468, 2102, 2570, 1001, 1060, 2184, 2392, 3429, 1001, 1060, 1019, 1010, 3515, 1001, 1019, 1013, 1019, 3429, 1001, 1060, 2184, 1010, 3515, 1001, 1060, 1019, 3943, 1001, 1060, 2184, 6191, 1001, 1060, 1021, 2340, 1001, 1060, 1018, 7766, 1010, 1019, 1000, 2461, 9109, 1000, 1015, 1005, 2385, 1000, 1008, 2187, 9726, 1037, 2210, 2044, 1020, 1024, 4002, 1012, 1008, 16934, 7766, 7289, 4237, 2000, 2191, 2009, 1037, 2978, 6211, 1012, 6866, 1024, 12256, 13292, 2184, 1010, 2263, 1019, 1024, 3590, 2572, 6928, 1010, 2184, 2281, 3637, 1019, 1015, 1013, 1016, 17850, 1012, 1059, 2102, 1012, 18225, 1001, 1008, 17844, 5697, 2012, 2147, 1010, 2021, 5027, 2001, 2146, 1998, 4567, 2041, 1010, 3403, 2005, 2477, 2000, 2131, 2589, 2061, 1045, 2071, 2681, 1012, 2009, 2001, 1018, 1024, 3429, 2077, 1045, 2288, 2000, 1996, 9726, 2007, 12120, 1012, 1038, 2860, 1060, 1019, 1013, 1019, 2005, 4010, 1011, 2039, 1016, 1008, 2382, 1001, 16962, 2015, 2005, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 1013, 1018, 3565, 2275, 5413, 1011, 11139, 1013, 5245, 1011, 11139, 5245, 1011, 11139, 2340, 1013, 2340, 1013, 2340, 1008, 1008, 1008, 2187, 1996, 9726, 1999, 29591, 1998, 12721, 1998, 28466, 2012, 1019, 1024, 3429, 1012, 1008, 1045, 1005, 2310, 2787, 2000, 2644, 2667, 2000, 4558, 3635, 2005, 1037, 2096, 1998, 10152, 2006, 8550, 3997, 1012, 1045, 1005, 1049, 3972, 20755, 8609, 2135, 5983, 2062, 999, 999, 999, 1008, 1008, 7643, 2015, 2020, 15311, 1012, 1996, 1038, 2860, 16360, 2015, 2020, 2613, 5024, 1010, 5703, 1011, 7968, 1010, 2021, 1045, 2018, 1037, 2843, 1997, 4390, 2007, 1996, 18215, 4520, 1012, 1045, 2018, 4390, 10561, 2129, 2521, 2185, 2013, 1996, 3482, 2026, 2067, 3329, 2001, 2006, 2000, 2173, 2026, 2392, 3329, 1012, 1996, 2197, 16360, 1997, 1996, 4343, 2275, 2471, 2134, 1005, 1056, 4148, 1010, 1998, 1018, 2001, 2035, 1045, 2018, 1999, 1996, 4833, 1012, 1008, 1008, 1008, 2044, 2026, 2353, 2275, 1997, 5413, 2015, 1013, 5245, 1011, 11139, 2026, 2608, 1998, 3108, 22766, 2039, 1010, 1998, 2044, 3403, 2005, 1019, 2781, 1010, 1045, 2787, 2000, 8046, 2005, 1996, 2154, 1012, 1996, 13675, 25167, 2253, 2185, 2011, 2055, 2184, 2781, 1010, 1998, 2044, 1045, 2074, 2371, 2613, 5458, 1012, 1045, 4741, 2005, 2026, 2564, 2000, 3926, 2014, 13695, 1998, 2187, 1012, 2006, 1037, 2184, 1011, 2391, 4094, 1010, 1045, 2507, 2023, 27090, 1037, 5024, 1014, 1012, 1017, 999, 6866, 1024, 2938, 13292, 2321, 1010, 2263, 1023, 1024, 2184, 2572, 5095, 1010, 2321, 2281, 3637, 1020, 1015, 1013, 1016, 17850, 1012, 2851, 6241, 1010, 2059, 2074, 2105, 1996, 2160, 1012, 2000, 9726, 1999, 5027, 1006, 1029, 2051, 1007, 2007, 12120, 1012, 2013, 2723, 5345, 1001, 1060, 2184, 11502, 1001, 1060, 1019, 2013, 1018, 1000, 15376, 1001, 1060, 1019, 2013, 1022, 1000, 14993, 1001, 1060, 1019, 2013, 2184, 1000, 17528, 1060, 1019, 4229, 1001, 1060, 2184, 6273, 1001, 1060, 1019, 1017, 1060, 4293, 3823, 1999, 2035, 13695, 1045, 2106, 1996, 2190, 1045, 1005, 2310, 2412, 2589, 1012, 2292, 1005, 1055, 2963, 2065, 2005, 1037, 2717, 2733, 999, 6866, 1024, 12256, 13292, 2459, 1010, 2263, 1017, 1024, 4029, 2572, 6928, 1010, 2459, 2281, 3637, 1020, 17850, 1012, 1059, 2102, 1012, 10894, 1001, 1010, 1998, 10047, 2025, 2667, 2000, 4558, 2151, 2062, 999, 7199, 5697, 2154, 2012, 2147, 1012, 2000, 9726, 2894, 2012, 1018, 1024, 2382, 1006, 12120, 2025, 3110, 2092, 1007, 1012, 2423, 1001, 1060, 2184, 3429, 1001, 1060, 1019, 3515, 1001, 1060, 1019, 4293, 1001, 1060, 1019, 7020, 5413, 2015, 1013, 5245, 1011, 11139, 3938, 10819, 2717, 2090, 7020, 2015, 1012, 5413, 2015, 1020, 1013, 1020, 1013, 1020, 1013, 1017, 1013, 1017, 1006, 2484, 1007, 5245, 22264, 2260, 1013, 2260, 1013, 2340, 1013, 1020, 1013, 1019, 1006, 4749, 1007, 2570, 1001, 1060, 2260, 3590, 1001, 1060, 2260, 4413, 1001, 1060, 2260, 2187, 2012, 1019, 1024, 2423, 1008, 1045, 2113, 2049, 2025, 1037, 2843, 1997, 3635, 1010, 2004, 26783, 2015, 2175, 1010, 2021, 1045, 1005, 1049, 24665, 5243, 7741, 1996, 14100, 1010, 1998, 2551, 2026, 2067, 1999, 2000, 2009, 1012, 2392, 26783, 2015, 2514, 15536, 2121, 2094, 2000, 2033, 1012, 1045, 2089, 2175, 2067, 2000, 2067, 26783, 2015, 2574, 1012, 6866, 1024, 21981, 13292, 2539, 1010, 2263, 1023, 1024, 2382, 2572, 9317, 1010, 2539, 2281, 3637, 1024, 1021, 17850, 5027, 1000, 2125, 1000, 1025, 2106, 10373, 1010, 3262, 1012, 2000, 9726, 2012, 1018, 1024, 2321, 2894, 1010, 2004, 12120, 2018, 2070, 6134, 9755, 1012, 7643, 2309, 1011, 4190, 3975, 26783, 1008, 1016, 1008, 2382, 1001, 16962, 2015, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 1013, 1019, 1008, 1008, 1019, 1060, 1018, 1060, 2184, 1001, 7766, 1010, 1015, 8117, 2324, 10819, 1012, 1037, 2261, 18215, 24514, 2229, 2012, 1996, 2203, 1012, 1008, 1045, 1005, 2310, 3603, 2008, 1999, 1996, 2214, 6939, 1010, 1996, 7643, 2015, 2052, 2191, 2037, 2576, 5895, 2079, 2122, 2012, 2307, 3091, 1012, 2027, 2035, 28667, 12956, 2094, 2037, 3424, 1011, 4750, 3971, 1998, 12860, 10721, 9721, 2000, 1996, 2231, 1012, 1008, 1008, 1045, 1005, 2310, 2042, 20316, 1999, 2129, 1045, 2079, 2122, 1010, 1996, 4578, 1997, 1996, 2067, 3329, 1998, 1996, 3292, 2185, 2005, 1996, 2392, 3329, 1012, 1045, 1005, 1049, 2145, 24185, 19473, 2989, 2105, 3243, 1037, 2978, 1012, 1045, 2342, 2000, 7392, 2006, 6028, 1010, 2175, 2091, 1037, 2978, 1999, 3635, 1998, 24665, 5243, 3367, 2023, 1037, 2978, 2488, 1012, 1008, 1008, 1008, 4788, 2651, 2084, 2197, 2051, 2006, 2122, 1010, 2029, 2001, 1037, 10975, 1012, 1996, 2034, 16360, 2471, 2134, 1005, 1056, 2175, 2039, 1010, 2021, 2059, 1996, 2717, 1997, 1996, 2034, 2275, 2001, 2986, 1012, 2009, 2074, 2371, 3082, 1996, 2878, 2051, 1012, 2006, 1996, 4343, 2275, 1010, 1045, 3030, 2012, 1017, 1010, 3241, 1045, 2001, 23454, 4945, 1010, 1998, 2359, 2000, 2031, 2242, 2005, 1996, 2197, 2275, 1012, 2006, 1996, 4833, 2275, 1010, 1045, 2288, 1017, 2039, 7929, 1010, 1998, 2245, 1045, 2018, 1037, 4343, 1010, 2021, 2481, 1005, 1056, 2131, 2009, 2000, 2175, 2039, 1012, 26352, 5017, 999, 6866, 1024, 2938, 13292, 2570, 1010, 2263, 1023, 1024, 4749, 2572, 5095, 1010, 2603, 2281, 3637, 1024, 1021, 1015, 1013, 1016, 2847, 1012, 3835, 1012, 5095, 1010, 2053, 2902, 10198, 1012, 3262, 2105, 2188, 2108, 13971, 1998, 5948, 4157, 1010, 2048, 2235 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3191, 6353, 4391, 1997, 9097, 2011, 1996, 2712, 27634, 7001, 1999, 17401, 5178, 1010, 2662, 1012, 3193, 19870, 1997, 9097, 2011, 1996, 2712, 27634, 7001, 1998, 2156, 2060, 3518, 13215, 7047, 1012, 2167, 9697, 3295, 1012, 24426, 2692, 9184, 13642, 1012, 2167, 9697, 1010, 6335, 5174, 2575, 2475, 6391, 2581, 1012, 27240, 1012, 13509, 2131, 7826, 1012, 2128, 9103, 8159, 3686, 2115, 4382, 1999, 1037, 8687, 9097, 1012, 7621, 2838, 1012, 2062, 22445, 2084, 1996, 9097, 5742, 4770, 4965, 5006, 14535, 3363, 9735, 2013, 1996, 2880, 7281, 8706, 1012, 4012, 2609, 1012, 2424, 5006, 14535, 3363, 6134, 1010, 4391, 1998, 7760, 1012, 11781, 4564, 2003, 2284, 3486, 2661, 4514, 1997, 9184, 1998, 10630, 2661, 2013, 3190, 1012, 2236, 6395, 2248, 3199, 1999, 9184, 2003, 22858, 2011, 2087, 2350, 7608, 1012, 7276, 1037, 2555, 2013, 1996, 4949, 2030, 1996, 2862, 2917, 2000, 7276, 1037, 10401, 3295, 1012, 1996, 7812, 3295, 2006, 1996, 5869, 7136, 6167, 1012, 8813, 2479, 1011, 14841, 3309, 9270, 2003, 1996, 2087, 10990, 1010, 8200, 1998, 5379, 7001, 7688, 1999, 5869, 7136, 1012, 2073, 1005, 1055, 2026, 3902, 1012, 10449, 1996, 2613, 2051, 3902, 2592, 1012, 8827, 2696, 18675, 2017, 2000, 3325, 2613, 2051, 3902, 2592, 1012, 1996, 2291, 2573, 2007, 14658, 2974, 1998, 4473, 8827, 2696, 2000, 9231, 8400, 2169, 4683, 6635, 3295, 2012, 2035, 2335, 1012, 4965, 2198, 9666, 15010, 9735, 2013, 1996, 2880, 7281, 8706, 1012, 4012, 2097, 11662, 2412, 2022, 3423, 1012, 2424, 2198, 9666, 15010, 2778, 6134, 1010, 4954, 11795, 2015, 4751, 1010, 4391, 1998, 7760, 1012, 20010, 24164, 2015, 3972, 3309, 1012, 3449, 3309, 15481, 3871, 7601, 26843, 3199, 11662, 1999, 2530, 2015, 14477, 14057, 2063, 1057, 13592, 6305, 2072, 18827, 2509, 1025, 1050, 1010, 3622, 24996, 2063, 13171, 25572, 3527, 2632, 11662, 1999, 2530, 2015, 27607, 2139, 26843, 1006, 11047, 2100, 1007, 1012, 2337, 1023, 1010, 2760, 1006, 10348, 1007, 2012, 1996, 2882, 4895, 11662, 1999, 2530, 2015, 2733, 1997, 1996, 11940, 2015, 3309, 23713, 1025, 12403, 1010, 16776, 6238, 3619, 11662, 1999, 2530, 2015, 9542, 2152, 1011, 4125, 2012, 1996, 20098, 17386, 9270, 23713, 1025, 7001, 1999, 10348, 1010, 13433, 2243, 13088, 1999, 2624, 5277, 1005, 1055, 9514, 2555, 1010, 8807, 3472, 2129, 2079, 1045, 2224, 2026, 11662, 2685, 2006, 8945, 3567, 2850, 17939, 7686, 2409, 1996, 4306, 2000, 22035, 2102, 1025, 2404, 2006, 2115, 17072, 1010, 2138, 1996, 1012, 16012, 17643, 22749, 1012, 1044, 19317, 2629, 1025, 10861, 2213, 10667, 2050, 10861, 1010, 7861, 9244, 1010, 1042, 10448, 1999, 24108, 3527, 6583, 5003, 21926, 2487, 1025, 2006, 10980, 2079, 19931, 1010, 1051, 10861, 22115, 1025, 14163, 9956, 11662, 1999, 2530, 2015, 15068, 2632, 3995, 24528, 23194, 18827, 2509, 1025, 5673, 1010, 13433, 2483, 1044, 19317, 2629, 1025, 27427, 5555, 21926, 2487, 1025, 21005, 1025, 9686, 2139, 10861, 1010, 21877, 2721, 2033, 26212, 12456, 4648, 1010, 6583, 10073, 2050, 4830, 3814, 11662, 1999, 2530, 2015, 15489, 2063, 1010, 7205, 9270, 2000, 14163, 12881, 9910, 25623, 28286, 1037, 5684, 9998, 8374, 11921, 2015, 18609, 22035, 2102, 1025, 19128, 14066, 10111, 19711, 1025, 1055, 2030, 4181, 2015, 2079, 2236, 9686, 3597, 2278, 21926, 2549, 1025, 1055, 27788, 27318, 6097, 5280, 5349, 28940, 4140, 1025, 1046, 2078, 1010, 10861, 13675, 2401, 6444, 1037, 2030, 3207, 2213, 2139, 1055, 19317, 2581, 1025, 1051, 1012, 3465, 16776, 16451, 2015, 20704, 2290, 2364, 7954, 2572, 11283, 5897, 2334, 12846, 1010, 5328, 2833, 3824, 13258, 1010, 2986, 1011, 7759, 2833, 1010, 2715, 1010, 2148, 3060, 1010, 10514, 6182, 7909, 2572, 10288, 1010, 11662, 1999, 2530, 2015, 1010, 9425, 2004, 6633, 2683, 11662, 1999, 2530, 2015, 2022, 2218, 2006, 2281, 1019, 1011, 1020, 2104, 1996, 4323, 2079, 28414, 2015, 20996, 9307, 4674, 28126, 2015, 2005, 3521, 1010, 5826, 2005, 14165, 1012, 11662, 1999, 2530, 2015, 2231, 7376, 9270, 28699, 2015, 2031, 6036, 10793, 17770, 1998, 2340, 13154, 15134, 2015, 2000, 3665, 4641, 1997, 2110, 1998, 2231, 1998, 2152, 1011, 5464, 4584, 2013, 4021, 1998, 2885, 2040, 2097, 5463, 1996, 6465, 1999, 2281, 1012, 2724, 23736, 2618, 1011, 5273, 10355, 25644, 2523, 7534, 1059, 17643, 2760, 3034, 1011, 9317, 1010, 2238, 2410, 1010, 2760, 1064, 5958, 1010, 2238, 2321, 1010, 2760, 2012, 2167, 2732, 9587, 16066, 2319, 9270, 7001, 1010, 14999, 1010, 15536, 1012, 2424, 2724, 1998, 7281, 2592, 1012, 3700, 1012, 1996, 5003, 16066, 2319, 2020, 2542, 1999, 1998, 2105, 1996, 6842, 2314, 1006, 2030, 22035, 2102, 1025, 5003, 16066, 11639, 4183, 12722, 28940, 4140, 1025, 1010, 2037, 2171, 2005, 1996, 6842, 2314, 1007, 2012, 1996, 2051, 1997, 2037, 2034, 3967, 2007, 13481, 13066, 2247, 1996, 6842, 2314, 1999, 1996, 18914, 16223, 1012, 2044, 28058, 2012, 1996, 2051, 1997, 1996, 4093, 1997, 2047, 5658, 5886, 3122, 1010, 2027, 2036, 15844, 2247, 1996, 22338, 2314, 1998, 1996, 7570, 20049, 2278, 2314, 1012, 1999, 2037, 2219, 2653, 1010, 1996, 5003, 16066, 2319, 1529, 3046, 2115, 2192, 2012, 2444, 2795, 2399, 2164, 1017, 4003, 11662, 1010, 10231, 2015, 1010, 20996, 9307, 4674, 1010, 2304, 17364, 23713, 1025, 7209, 3146, 2907, 1005, 7861, 1012, 2034, 2051, 1012, 2131, 10355, 12468, 2182, 1012, 8849, 26845, 2103, 1998, 25430, 8113, 2221, 2167, 3792, 1010, 2188, 2000, 2317, 5880, 21298, 2075, 1010, 1037, 2307, 5116, 1998, 1996, 2307, 20629, 4020, 2120, 2380, 1012, 4965, 12049, 3449, 16200, 11818, 9735, 2013, 1996, 2880, 7281, 8706, 1012, 4012, 2609, 1012, 7172, 3674, 2335, 10126, 1998, 5909, 10453, 6681, 2489, 8816, 3156, 7236, 1012, 2600, 28518, 9215, 5929, 1024, 1038, 18259, 1005, 1055, 2600, 28518, 9215, 5929, 3573, 1011, 2047, 2600, 28518, 9215, 14464, 1010, 2600, 28518, 9215, 2806, 18184, 23713, 1025, 18224, 24457, 2100, 5929, 9639, 4497, 2011, 4323, 2600, 28518, 9215, 5929, 1024, 2600, 28518, 9215, 5929, 2005, 2115, 2600, 2378, 1005, 9580, 1012, 2057, 4287, 5929, 14563, 1997, 1996, 9270, 4773, 22231, 2361, 2806, 1997, 1996, 2753, 1005, 1055, 2081, 2005, 9155, 11662, 3698, 2715, 2600, 28518, 9215, 2611, 1012, 4497, 2005, 22307, 9880, 16689, 1010, 9231, 6279, 5929, 1010, 2600, 28518, 9215, 14464, 1529, 6023, 2005, 10036, 5796, 14181, 1025, 14181, 1025, 10017, 11662, 1999, 2530, 2015, 2012, 2034, 3406, 2450, 3573, 1998, 2062, 2013, 2303, 8663, 4377, 1010, 4377, 2308, 1010, 2460, 4377, 2006, 4862, 10288, 20110, 1012, 4012, 1010, 1996, 2877, 6202, 18086, 2013, 2859, 7861, 8270, 2678, 1012, 2000, 5587, 2023, 2678, 2000, 2115, 2219, 4037, 1010, 3531, 5587, 1996, 2206, 7861, 8270, 3642, 1024, 2067, 13767, 3582, 1024, 2893, 2000, 2751, 6497, 2225, 11562, 2006, 4949, 2005, 7826, 1012, 4949, 1998, 7826, 1012, 2751, 6497, 2225, 9806, 2103, 2003, 2382, 2781, 2013, 1996, 17738, 1011, 11937, 14490, 2248, 3199, 1012, 2007, 2008, 1999, 2568, 1010, 2358, 2094, 11662, 3574, 9317, 2026, 2767, 9744, 1042, 14122, 2232, 9875, 28180, 8569, 2290, 2996, 1998, 1045, 2253, 2041, 13896, 12228, 1010, 14299, 2005, 2047, 6302, 5607, 5269, 1011, 9544, 8231, 2306, 11662, 1999, 2530, 2015, 2847, 3298, 2013, 1996, 6167, 1010, 2000, 2562, 2477, 22945, 2005, 5873, 17008, 1012, 3573, 4751, 6160, 2000, 2115, 2225, 17738, 1010, 1050, 2615, 1010, 2188, 8470, 1010, 2073, 2020, 3201, 2000, 6509, 2017, 2007, 2035, 1997, 2115, 2188, 7620, 3791, 1012, 2057, 2293, 2188, 7620, 2062, 2084, 3087, 2842, 2057, 2113, 1010, 1998, 2057, 1005, 1040, 2293, 2000, 2393, 2017, 2933, 2115, 2279, 2622, 1012, 2043, 2017, 1005, 2128, 2559, 2005, 2019, 10439, 15204, 3401, 3573, 2000, 10651, 2115, 3829, 22449, 1998, 6581, 1529, 5018, 10878, 9697, 2852, 1010, 20580, 1010, 1050, 2615, 2003, 1037, 14010, 2692, 5490, 3027, 1010, 1016, 2793, 1010, 1016, 7198, 2188, 3205, 2006, 19817, 20922, 2005, 21679, 1010, 2199, 1999, 20580, 1010, 7756, 1012, 2751, 6497, 2225, 9270, 3309, 1012, 16087, 4734, 2164, 4749, 19796, 11662, 1999, 2530, 2015, 18302, 1010, 18097, 23713, 1025, 4954, 3347, 19870, 2421, 1025, 2309, 2452, 4157, 9338, 1010, 3707, 23713, 1025, 3707, 2075, 2604, 1010, 2606, 21190, 2121, 2489, 5830, 12849, 4747, 24498, 9270, 1998, 15536, 1011, 10882, 2484, 11662, 1999, 2530, 2015, 2449, 1998, 10516, 6401, 12348, 4770, 1998, 12403, 2484, 17850, 1012, 9270, 2007, 2795, 2399, 1010, 2998, 2338, 1010, 2678, 11662, 23713, 1025, 18034, 1997, 1529, 16012, 14413, 2666, 15333, 26639, 3366, 1012, 1046, 21926, 2509, 1025, 1054, 21926, 2509, 1025, 2026, 13632, 2882, 4183, 18033, 4649, 26225, 5267, 1010, 19711, 1025, 25869, 20414, 10484, 1011, 25525, 22394, 1025, 1062, 2072, 21926, 2475, 1025, 24501, 1012, 7367, 2015, 3008, 2365, 2102, 4012, 5017, 21926, 2487, 1025, 16111, 2190, 9270, 15768, 2000, 4965, 4013, 9048, 22930, 21926, 2509, 1025, 18033, 4895, 23848, 21369, 2078, 1040, 1005, 4862, 3672, 3370, 1012, 16345, 1025, 1048, 21926, 2475, 1025, 2310, 4487, 18719, 2361, 21926, 2509, 1025, 1010, 6335, 8046, 2618, 1048, 1005, 22115, 1025, 5624, 4372, 2465, 2063, 2139, 2117, 2063, 10364, 10975, 10450, 4226, 2099, 3393, 16215, 21926, 2509, 1025, 21035, 1025, 29461, 3802, 2474, 4012, 21926, 2509, 1025, 3280, 1012, 2128, 7849, 28940, 21926, 2509, 1025, 1040, 1005, 11113, 8551, 11968, 10391, 9152, 2239, 21864, 3393, 2433, 2063, 19711, 1025, 1048, 1005, 22115, 1025, 5624, 11320, 17619, 4241, 1529, 8902, 5802, 2102, 15587, 19817, 21926, 2475, 1025, 1055, 4654, 26243, 4630, 19554, 22197, 2015, 8292, 2102, 26574, 11265, 1054, 21926, 2509, 1025, 24761, 2618, 14674, 16655, 7367, 9307, 2117, 2063, 1012, 6335, 12436, 2310, 29339, 1055, 1005, 4372, 3653, 4859, 2890, 19711, 1025, 15317, 3802, 2006, 21877, 4904, 18704, 24209, 1005, 6335, 7367, 2123, 2638, 19711, 1025, 13545, 10364, 22863, 3917, 10602, 1012, 15669, 2532, 28983, 16655, 3565, 9081, 10975, 21926, 2549, 1025, 8915, 1037, 7367, 4189, 2063, 11662, 1999, 2530, 2015, 1048, 1005, 2019, 2271, 13642, 2278, 16655, 19349, 2063, 7977, 2063, 6805, 29316, 8118, 2063, 1012, 22959, 2618, 1043, 3669, 5754, 2072, 4487, 14383, 3981, 20574, 5118, 3540, 1041, 10360, 2063, 1010, 2474, 11662, 1999, 2530, 2015, 3690, 10346, 2319, 12871, 2696, 1010, 19330, 7913, 4830, 25394, 17174, 25090, 10003, 11638, 2072, 17488, 21025, 24163, 1010, 17488, 2571, 26261, 11393, 6904, 4328, 25394, 2063, 18178, 13642, 6212, 2080, 5285, 16161, 2474, 3465, 6820, 20574, 3972, 16038, 1041, 11265, 9530, 8043, 3567, 6212, 2080, 2474, 17678, 7373, 2102, 19317, 2549, 1025, 2012, 6494, 14028, 2080, 3393, 11662, 1999, 2530, 2015, 14866, 14412, 5428, 1012, 10587, 15222, 2015, 10587, 8322, 2102, 3573, 2038, 2035, 7957, 1997, 10587, 15222, 2015, 2125, 3244, 6557, 13284, 2308, 21274, 3661, 6267, 7270, 2327, 16195, 3238, 5024, 10416, 2327, 10353, 3238, 2621, 2611, 11662, 1999, 2530, 2015, 2418, 7114, 5024, 7916, 10416, 13284, 2308, 2067, 12922, 2039, 18296, 3300, 2146, 10353, 2460, 13284, 3756, 2304, 11344, 2005, 3801, 1010, 10587, 15222, 2015, 2621, 1038, 2989, 4377, 1529, 2760, 3784, 6023, 2005, 2759, 23713, 1025, 2980, 2652, 4003, 11662, 1999, 2530, 2015, 2013, 2308, 1005, 1055, 5929, 23713, 1025, 16611, 1010, 14464, 1010, 2388, 23713, 1025, 4268, 1010, 21160, 23713, 1025, 2569, 2224, 1998, 2062, 3141, 11662, 1999, 2530, 2015, 4003, 4377, 2066, 2652, 4003, 13284, 1010, 6557, 5315, 4003, 1010, 11662, 4003, 4377, 1010, 2089, 10259, 2399, 5329, 15114, 1012, 11662, 1999, 2530, 2015, 2005, 10036, 5796, 14181, 1025, 11662, 1999, 2530, 2015, 23713, 1025, 9764, 2012, 2019, 22747, 1060, 26278, 3573, 1998, 2062, 2013, 2006, 4862, 10288, 20110, 1012, 4002, 2474, 10023, 1999, 5356, 11091, 1012, 4638, 2041, 2035, 1997, 1996, 4751, 2006, 1996, 2168, 2012, 16012, 26557, 8238, 2050, 1012, 9033, 24103, 2213, 1006, 1149, 1055, 1119, 1047, 1119, 1049, 1007, 2003, 1037, 2110, 1999, 4794, 2634, 1012, 2009, 6645, 1996, 13319, 8392, 2555, 1999, 1996, 2167, 1998, 4794, 1010, 18768, 1999, 1996, 2264, 1010, 8222, 1999, 1996, 2225, 1998, 1996, 2796, 2110, 1997, 2225, 8191, 1999, 1996, 2148, 1012, 9033, 24103, 2213, 2003, 2036, 2284, 2485, 2000, 2634, 1005, 1055, 9033, 3669, 27390, 2072, 7120, 2379, 7269, 1012, 9033, 24103, 2213, 2003, 1996, 2560, 20151, 1998, 2117, 10479, 2426, 1996, 2796, 1529, 2249, 11865, 2063, 4895, 22441, 23632, 1025, 1051, 3671, 2272, 16786, 3527, 4372, 1055, 19317, 2629, 1025, 2919, 2080, 4372, 3449, 8094, 3695, 25847, 2080, 1012, 9686, 17214, 5638, 21926, 2509, 1025, 1050, 3449, 1050, 17788, 2692, 1025, 21442, 2080, 2249, 5754, 2080, 1040, 18827, 2509, 1025, 7163, 1051, 2139, 2474, 2640, 6305, 2072, 18827, 2509, 1025, 1050, 2139, 3690, 13675, 2923, 11410, 1010, 4748, 6633, 19317, 2629, 1025, 1055, 3972, 11703, 16339, 18098, 14428, 2099, 3972, 28774, 17119, 3542, 27678, 1061, 3449, 7367, 12734, 3527, 22441, 23632, 1025, 1051, 2139, 2474, 1040, 21926, 2509, 1025, 28353, 2050, 2139, 3050, 2230, 1012, 11865, 2063, 2640, 9365, 18609, 1024, 3449, 22441, 23632, 1025, 1051, 27607, 2139, 3050, 8945, 17729, 2015, 1010, 7367, 2290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2607, 1005, 1055, 2224, 1997, 2653, 1011, 2462, 1996, 22050, 1997, 17213, 3127, 1017, 1010, 2261, 5454, 2000, 4952, 3872, 2048, 1997, 1996, 4471, 1997, 1037, 2607, 1999, 17861, 29656, 2011, 8856, 11333, 2361, 13542, 1010, 6887, 1012, 1040, 1012, 1996, 3277, 1997, 4441, 6149, 2075, 2256, 12051, 2012, 1996, 2504, 2057, 2064, 5138, 1998, 3305, 2038, 2525, 2042, 6936, 1010, 2021, 2057, 2709, 2000, 2009, 2085, 2062, 4919, 1999, 2023, 3127, 2000, 2156, 2129, 17213, 4240, 2004, 1996, 2307, 6454, 1997, 1037, 2607, 1999, 2004, 1996, 18140, 2005, 1996, 13059, 1005, 1055, 2466, 1997, 8254, 1010, 8056, 1010, 1998, 3571, 1997, 7750, 1010, 17213, 3685, 2022, 2613, 1006, 2144, 2009, 6149, 2015, 2054, 2196, 3047, 1007, 2021, 2003, 2738, 1037, 6454, 2005, 2054, 2894, 2003, 2613, 1024, 1996, 2293, 1997, 2643, 1012, 2174, 1010, 2004, 1996, 2607, 12011, 2149, 1010, 2023, 18140, 2515, 2025, 15391, 4507, 2005, 2009, 11138, 1996, 2512, 1011, 7037, 6553, 1998, 2512, 1011, 4559, 2389, 3606, 1012, 17213, 2947, 5251, 25672, 2229, 1996, 13059, 1005, 1055, 2376, 1010, 2029, 4473, 1996, 2365, 2000, 2963, 1996, 2069, 2376, 1999, 2023, 7037, 6553, 1998, 12613, 2088, 2008, 2064, 2599, 2032, 3458, 2009, 2000, 1996, 3606, 1997, 2643, 1005, 1055, 2293, 1012, 5043, 3973, 1010, 2009, 2003, 2023, 7132, 2832, 1997, 6149, 2075, 2256, 10697, 2083, 7783, 4084, 2008, 3084, 1037, 2607, 1999, 17861, 4310, 1999, 1996, 2381, 1997, 2512, 1011, 7037, 6553, 6259, 6447, 1012, 2009, 14567, 1996, 11109, 1997, 1037, 2512, 1011, 7037, 6553, 29081, 2291, 1010, 2664, 4473, 2049, 3606, 2000, 2022, 7686, 2046, 1996, 7037, 6553, 2088, 2073, 1996, 2365, 7164, 2002, 3268, 1012, 2028, 6919, 2742, 1997, 2023, 7132, 2791, 2003, 2464, 1999, 1996, 2206, 6019, 2029, 15841, 16936, 2013, 1996, 13059, 1005, 1055, 3959, 1997, 7404, 1012, 2009, 2003, 1037, 3835, 4372, 13334, 2000, 2256, 6594, 1024, 2061, 19725, 2003, 1996, 3959, 1010, 2061, 16064, 2613, 1010, 2002, 1031, 1996, 2365, 1997, 2643, 1033, 2071, 2025, 5256, 2078, 2000, 4507, 2302, 1996, 7518, 1997, 7404, 1998, 1037, 6978, 1997, 9801, 3571, 1010, 4983, 1037, 7132, 2099, 3959, 11677, 2010, 22091, 15495, 1010, 1998, 3039, 2010, 5475, 2121, 2568, 2000, 6160, 1010, 2025, 2000, 3571, 1010, 1996, 2376, 2008, 4455, 2007, 2293, 2000, 5256, 2078, 2032, 1025, 1037, 7132, 2099, 3959, 1010, 1999, 2029, 2010, 6114, 2001, 15027, 1998, 2073, 2010, 2567, 2001, 2010, 2767, 1012, 2643, 22705, 2002, 5256, 2078, 5251, 1998, 2007, 6569, 1010, 1998, 2435, 2032, 2965, 2000, 5256, 2078, 2302, 3571, 1006, 1056, 1011, 2676, 1012, 8890, 1012, 2410, 1024, 1018, 1011, 1019, 1007, 1012, 17213, 2004, 1037, 17213, 1010, 1997, 2607, 1010, 2003, 1996, 2965, 1997, 16936, 2013, 1996, 13059, 1005, 1055, 3959, 1997, 7404, 1012, 1998, 2009, 2003, 1037, 2965, 2029, 1010, 4441, 20618, 1010, 2003, 5665, 26658, 2854, 1010, 2004, 3491, 1999, 1996, 2206, 13768, 1024, 12492, 3084, 12492, 1012, 3272, 2028, 1012, 17213, 2003, 12492, 2008, 2003, 3437, 2000, 1996, 2717, 1012, 17213, 2003, 2947, 1996, 2832, 1997, 6149, 2075, 1996, 13059, 1005, 1055, 9255, 1006, 7495, 2000, 1996, 7037, 6553, 2088, 1007, 1010, 8558, 25672, 2075, 1996, 13059, 2245, 2291, 1998, 2437, 2282, 2005, 1996, 2512, 1011, 7037, 6553, 3606, 2000, 2022, 3858, 17213, 26981, 2035, 2060, 5544, 2185, 1010, 1998, 2295, 2009, 2003, 2993, 1037, 3959, 1010, 2009, 15910, 2053, 2500, 1012, 2035, 24883, 3828, 2023, 2028, 2442, 4800, 22086, 1037, 4595, 10371, 1012, 2021, 2023, 2003, 2073, 24883, 2203, 1012, 17213, 2003, 1996, 2203, 1997, 5544, 1010, 2138, 2009, 2003, 1037, 3959, 1997, 12447, 1012, 2003, 2025, 2993, 1996, 3606, 1012, 2664, 2515, 2009, 2391, 2000, 2073, 1996, 3606, 2442, 2022, 1010, 1998, 3957, 3257, 2007, 1996, 15855, 1997, 2643, 2370, 1012, 2009, 2003, 1037, 3959, 1999, 2029, 1996, 2365, 1997, 2643, 8300, 3619, 2000, 2010, 2969, 1998, 2000, 2010, 2269, 1010, 4209, 2027, 2024, 2028, 1006, 1059, 1011, 14255, 1012, 20003, 1012, 1016, 1024, 1022, 1011, 1017, 1024, 1021, 1025, 19408, 3067, 1007, 1012, 17213, 2453, 2022, 2170, 1037, 2785, 1997, 3407, 4349, 1025, 1037, 2126, 1999, 2029, 1996, 4895, 2243, 19779, 2075, 2064, 2958, 1996, 6578, 2090, 2037, 10617, 1998, 1996, 3606, 1012, 2027, 3685, 2175, 3495, 2013, 10617, 2000, 3716, 2138, 2027, 2079, 2025, 2228, 2009, 2003, 2037, 2097, 2000, 2079, 2061, 1012, 2023, 3084, 2643, 3711, 2000, 2022, 2019, 4099, 2612, 1997, 2054, 2002, 2428, 2003, 1012, 1998, 2009, 2003, 2074, 2023, 9577, 10617, 2008, 3084, 2068, 15175, 6414, 2000, 4125, 2039, 1998, 2000, 2709, 2000, 2032, 1999, 3521, 1012, 1998, 2061, 2027, 2342, 2019, 12492, 1997, 2393, 2138, 2027, 2024, 13346, 1025, 1037, 2245, 1997, 3521, 2138, 2027, 2024, 1999, 4736, 1006, 1039, 1011, 1017, 1012, 1016, 1024, 1015, 1011, 1017, 1024, 1015, 1025, 19408, 3067, 1007, 1012, 2057, 2735, 2000, 2048, 13768, 2013, 1996, 2147, 8654, 2073, 4441, 3084, 2009, 3154, 1010, 2153, 1010, 2008, 17213, 2993, 2003, 4895, 22852, 1998, 5665, 26658, 2854, 1010, 2108, 3432, 1037, 9185, 1997, 1996, 2512, 1011, 7037, 6553, 2293, 1997, 2643, 2025, 2515, 9641, 2138, 2002, 2038, 2196, 10033, 1012, 1012, 1012, 1012, 2664, 17213, 2003, 1996, 2965, 2011, 2029, 1045, 1031, 1996, 3076, 1033, 2097, 6807, 2026, 12660, 1012, 2009, 2003, 1996, 9185, 1997, 2643, 1005, 1055, 2293, 2006, 3011, 1012, 2009, 2097, 3288, 2033, 2379, 2438, 2000, 6014, 2008, 1996, 2293, 1997, 2643, 2064, 3362, 2091, 2000, 2033, 1998, 5333, 2033, 2039, 2000, 2032, 1006, 1059, 1011, 14255, 1012, 3438, 1012, 1015, 1024, 1016, 1010, 1018, 1011, 1020, 1025, 19408, 3067, 1007, 1012, 2057, 11628, 2085, 1037, 4766, 6019, 2008, 5577, 17213, 1005, 2535, 1999, 25672, 2075, 1996, 13059, 1005, 1055, 24883, 1011, 1011, 4942, 21532, 1037, 3407, 12492, 2005, 1996, 13059, 1005, 1055, 24883, 1997, 3571, 1011, 1011, 1998, 8430, 1996, 2126, 2005, 1996, 2709, 1997, 3606, 1024, 2005, 2293, 2442, 2507, 1010, 1998, 2054, 2003, 2445, 1999, 2010, 2171, 3138, 2006, 1996, 2433, 2087, 6179, 1999, 1037, 2088, 1997, 2433, 1012, 2122, 2024, 1996, 3596, 2029, 2196, 2064, 11703, 7416, 3726, 1010, 2138, 2027, 2272, 2013, 2433, 24913, 2993, 1012, 17213, 2003, 2019, 29520, 2433, 1997, 2293, 1010, 2029, 2004, 2009, 2003, 1999, 6014, 2038, 2053, 2433, 1012, 2664, 2054, 2003, 2734, 2182, 2003, 2445, 2182, 2004, 2009, 2003, 2734, 1012, 1999, 2023, 2433, 2017, 2064, 13883, 2115, 3853, 2130, 2182, 1010, 2348, 2054, 2293, 2097, 2812, 2000, 2017, 2043, 2433, 24913, 2038, 2042, 5854, 2000, 2017, 2003, 3618, 2145, 1006, 1059, 1011, 14255, 1012, 19609, 1012, 2410, 1024, 1019, 1011, 2403, 1024, 1018, 1025, 2664, 2348, 2643, 2515, 2025, 9641, 1010, 2010, 2293, 2003, 6600, 1996, 3978, 1997, 17213, 1012, 3571, 28887, 2015, 1998, 2293, 9641, 2015, 1012, 17213, 2947, 25672, 2229, 2054, 3571, 2038, 2550, 1010, 4192, 1996, 2568, 2000, 1996, 7073, 1997, 2643, 1012, 2005, 2023, 3114, 1010, 17213, 2064, 5621, 2022, 2170, 12611, 1012, 2009, 2003, 1996, 2965, 2011, 2029, 24883, 10436, 1006, 1059, 1011, 14255, 1012, 4805, 1012, 1016, 1007, 1012, 2256, 2345, 6019, 1999, 2023, 2930, 2006, 17213, 3640, 2664, 2178, 3154, 6412, 1997, 1996, 7037, 6553, 3267, 1997, 17213, 1010, 2029, 2003, 2241, 2588, 1996, 5688, 1997, 4500, 2015, 1010, 2021, 2029, 2323, 2025, 2022, 5457, 2007, 1996, 2512, 1011, 7037, 6553, 4507, 2008, 2038, 2053, 4500, 1012, 1996, 8068, 2089, 9131, 1010, 5043, 3973, 1010, 1996, 3041, 9339, 6019, 2013, 1996, 15314, 2000, 3521, 1006, 1056, 1011, 2539, 1012, 4921, 1011, 1039, 1012, 2340, 1024, 1016, 1011, 1017, 1007, 2073, 4441, 20618, 1996, 5197, 1997, 20852, 2090, 6454, 1998, 3120, 1010, 2433, 1998, 4180, 1012, 4895, 8545, 13808, 7228, 2373, 1010, 2007, 2053, 4500, 1010, 2003, 2054, 4325, 2003, 1012, 2005, 2023, 2045, 2024, 2053, 9255, 1012, 2498, 2685, 3458, 1996, 3606, 1010, 2005, 2054, 2064, 3233, 2005, 2062, 2084, 2673, 1029, 2664, 2995, 25672, 2075, 2442, 2022, 2785, 1012, 1998, 2061, 1996, 2034, 6110, 2005, 2115, 3861, 2003, 2178, 3861, 1997, 2178, 2785, 1012, 1998, 2061, 17213, 2003, 1037, 5741, 18140, 1011, 1011, 1037, 2965, 2000, 2019, 2203, 1011, 1011, 2005, 1996, 6772, 1999, 1996, 4507, 1997, 1996, 13059, 1005, 1055, 9577, 2245, 2291, 1012, 2009, 2003, 1037, 1000, 2785, 1006, 2295, 5665, 26658, 2854, 1007, 25672, 2075, 1000, 1997, 1996, 13059, 1005, 1055, 5665, 26658, 2854, 1000, 2725, 1000, 1997, 2886, 1012, 2000, 2110, 2023, 2590, 2391, 2320, 2153, 1010, 4824, 1996, 2590, 7835, 2090, 1996, 3606, 1997, 2512, 1011, 7037, 3012, 1998, 1996, 12492, 1997, 7037, 3012, 1010, 13155, 2153, 1999, 2023, 6019, 1010, 2003, 6827, 2065, 2028, 2003, 5621, 2000, 3305, 1037, 2607, 1999, 17861, 1012, 2144, 1010, 2320, 2153, 1010, 17213, 6149, 2015, 2054, 2196, 2001, 1010, 2009, 2205, 2442, 2025, 5621, 2022, 1012, 2947, 2009, 2003, 2057, 3713, 1997, 17213, 2004, 1037, 6454, 1010, 1998, 2035, 1996, 13768, 1999, 1996, 2607, 2073, 4441, 8847, 1997, 2005, 23795, 2115, 2567, 2064, 2022, 5319, 2000, 2022, 19240, 2015, 2005, 1996, 2832, 1997, 25672, 2075, 1996, 12492, 2008, 5158, 2069, 2306, 1996, 2568, 1012, 2057, 2735, 2085, 2000, 1037, 6594, 1997, 2023, 6827, 2391, 1012, 2004, 2498, 2791, 3685, 2022, 15885, 1010, 2061, 2003, 2053, 6454, 2005, 2561, 3012, 1012, 4507, 2003, 4821, 2124, 2302, 1037, 2433, 1010, 4895, 24330, 11244, 2094, 1998, 16100, 1012, 17213, 2003, 2025, 2664, 1037, 2373, 2124, 2004, 12590, 2489, 1997, 6537, 1012, 2664, 2009, 4520, 2053, 6537, 2017, 2031, 4217, 2000, 17607, 1012, 2003, 1996, 2965, 2011, 2029, 1996, 3606, 2003, 3421, 8184, 1012, 2009, 11082, 1996, 4151, 4382, 2191, 3863, 1997, 4620, 2825, 1010, 2127, 1996, 2051, 2043, 8387, 2024, 25120, 1998, 4083, 2589, 1012, 2053, 4083, 4681, 2038, 2224, 2008, 2064, 7949, 3458, 1996, 3125, 2030, 4083, 1012, 2043, 2049, 6614, 2038, 2042, 8885, 2009, 2003, 3853, 3238, 1012, 2664, 1999, 1996, 4083, 13483, 2009, 2038, 1037, 2224, 2008, 2085, 2017, 3571, 1010, 2021, 2664, 2097, 2293, 1012, 1012, 1012, 1012, 17213, 25887, 2229, 1998, 9255, 12985, 1010, 1998, 2498, 2008, 1996, 2159, 2031, 2412, 2464, 2030, 5551, 2031, 2657, 3464, 2000, 2022, 8690, 1012, 1037, 2373, 12590, 5787, 3238, 2038, 2272, 1010, 2025, 2000, 6033, 1010, 2021, 2000, 4374, 2049, 2219, 1012, 2045, 2003, 2053, 3601, 1997, 3853, 5973, 1012, 1996, 3601, 2017, 3571, 2000, 4558, 2017, 2196, 2018, 1012, 2664, 2069, 2023, 3544, 2000, 15115, 2007, 2373, 14668, 1998, 2309, 4301, 1010, 3143, 1998, 3407, 1010, 2302, 4500, 1012, 2017, 2079, 2025, 2113, 1996, 3521, 1997, 2373, 2008, 29158, 2498, 1012, 2664, 2053, 2060, 2785, 2064, 2022, 2012, 2035, 1012, 2507, 6160, 2000, 1996, 2373, 3458, 17213, 1010, 1998, 3458, 1996, 2088, 1997, 9255, 1998, 1997, 12546, 1012, 2002, 1031, 2643, 1033, 2052, 6414, 2022, 1010, 1998, 2061, 2002, 6414, 2003, 1006, 1056, 1011, 2676, 1012, 3523, 1012, 1018, 1024, 1018, 1011, 1019, 1024, 1023, 1025, 1021, 1025, 19408, 3067, 1007, 1012, 2809, 1010, 1011, 1996, 2607, 1005, 1055, 2224, 1997, 2653, 1066, 2462, 1010, 2000, 3931, 1997, 6971, 2005, 6358, 11333, 2361, 13542, 5950, 4957, 3482, 2005, 2035, 3033, 1997, 1996, 2607, 1005, 1055, 2224, 1997, 2653, 2913, 9163, 2795, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2054, 2256, 7846, 2360, 2055, 2149, 2339, 5454, 2665, 16535, 1029, 1037, 8013, 2323, 4060, 2665, 16535, 2810, 2065, 2027, 2215, 2037, 2622, 2000, 2022, 1996, 2327, 9470, 2622, 1997, 1996, 2194, 2027, 10887, 1012, 2027, 2323, 5987, 2037, 12508, 2000, 2022, 2006, 2609, 2296, 2154, 1010, 2008, 2002, 2052, 2031, 2382, 2086, 3325, 2311, 5014, 1998, 2052, 2562, 2068, 6727, 2296, 3357, 1997, 1996, 2126, 1012, 2027, 2052, 5987, 1037, 5166, 1010, 6134, 1010, 1998, 1037, 2194, 2008, 2038, 1037, 2136, 1997, 14279, 2117, 2000, 3904, 1012, 1999, 2460, 1010, 2035, 1996, 2477, 2017, 2097, 2025, 2131, 2007, 1037, 3469, 2311, 2194, 1012, 2057, 3073, 3167, 2326, 1010, 1998, 3233, 2369, 2256, 3325, 1012, 2008, 1521, 1055, 2524, 2000, 3786, 1012, 2057, 3728, 2018, 4913, 7349, 22420, 2072, 1997, 2665, 16535, 2810, 5587, 1037, 7621, 2000, 2256, 4493, 3925, 1521, 1055, 3975, 2504, 1012, 2057, 2020, 2061, 15936, 2007, 1996, 2658, 2964, 1998, 11532, 2008, 4913, 2716, 2000, 2023, 2622, 1012, 2002, 2038, 1037, 5541, 2568, 1998, 2001, 2583, 2000, 6235, 1037, 6919, 8651, 2000, 2256, 2188, 1998, 2009, 2234, 2041, 2296, 2978, 2004, 6429, 1998, 2062, 999, 2002, 2318, 2149, 2125, 2007, 1037, 5166, 2061, 2008, 2057, 2354, 2054, 2057, 2020, 2559, 2012, 2183, 2046, 1996, 2622, 1012, 2002, 2921, 2149, 2006, 5166, 2802, 1010, 1998, 2065, 2057, 2787, 2000, 5587, 5167, 1010, 2057, 2020, 6727, 2004, 2000, 1996, 3465, 1516, 2061, 2045, 2020, 2053, 20096, 2012, 1996, 2203, 1012, 1996, 2147, 21530, 2003, 11813, 1010, 2157, 2091, 2000, 1996, 7221, 12911, 2015, 1012, 2002, 3107, 2149, 2000, 2035, 1996, 14279, 1998, 5661, 2002, 2109, 1999, 2256, 2622, 2029, 2081, 2256, 3276, 2007, 2068, 2200, 6625, 1012, 2057, 2052, 3811, 16755, 2665, 16535, 2810, 2005, 3087, 2559, 2012, 17738, 26477, 2030, 2047, 2810, 1012, 6358, 1004, 7525, 2000, 3183, 2009, 2089, 5142, 1010, 2256, 10084, 12640, 7620, 2622, 2001, 1037, 2561, 7071, 2044, 7149, 2007, 2178, 2194, 2040, 2187, 2149, 1999, 1037, 18392, 1012, 2665, 16535, 2234, 1999, 2006, 6719, 1037, 3134, 5060, 1998, 2165, 2058, 1996, 2622, 1012, 4913, 3266, 2256, 5366, 1998, 2051, 2240, 2200, 16286, 1998, 29350, 2057, 2020, 2583, 2000, 2330, 2006, 2051, 2750, 1996, 2280, 16728, 14154, 11563, 2015, 1012, 2057, 2024, 2085, 2330, 1998, 4374, 2116, 19394, 2015, 2013, 6304, 2055, 1996, 2640, 1998, 2147, 21530, 1012, 4913, 2097, 2425, 2017, 2129, 2009, 2003, 3251, 2017, 2066, 2009, 2030, 2025, 1012, 2065, 2017, 1521, 2128, 2559, 2005, 1037, 13666, 2000, 2079, 2151, 10084, 12640, 8377, 1045, 2876, 1521, 1056, 16390, 2000, 16755, 2665, 16535, 2810, 2005, 1996, 2986, 2147, 2027, 2949, 2182, 2012, 1996, 6379, 27617, 10814, 7708, 10930, 27390, 2102, 4497, 20255, 2094, 6291, 2256, 3439, 2188, 3223, 1037, 26286, 1521, 1055, 3543, 1010, 2585, 1998, 2010, 2194, 5854, 2256, 2214, 4592, 5108, 1998, 3294, 7065, 16613, 2098, 2256, 2972, 2364, 2504, 1997, 2256, 2188, 1012, 2585, 1521, 1055, 2658, 2964, 1998, 2729, 2081, 2383, 2032, 2182, 1037, 2613, 7438, 1012, 2010, 2194, 2097, 2467, 2022, 2256, 2034, 3601, 1012, 2585, 5143, 1045, 2064, 1521, 1056, 2360, 2438, 2204, 2477, 2055, 4913, 2012, 2665, 16535, 2810, 1012, 2157, 2013, 1996, 2707, 4913, 1521, 1055, 2658, 2964, 1998, 3325, 2404, 2026, 2568, 2012, 7496, 2007, 2026, 2188, 10525, 2622, 1012, 1996, 2188, 2001, 1037, 12635, 3200, 2029, 1045, 2001, 4041, 2006, 4855, 1010, 2061, 2009, 2001, 4187, 2000, 2562, 4022, 17394, 1999, 2568, 2004, 2092, 2004, 1996, 2342, 2000, 2147, 2105, 1996, 3588, 16713, 1999, 1996, 10025, 7621, 1012, 4913, 2855, 2404, 1037, 5166, 1998, 2933, 2362, 1998, 3591, 1037, 2261, 7047, 1998, 6040, 1999, 3408, 1997, 5239, 2854, 1998, 24094, 2005, 1996, 3829, 1998, 5723, 2004, 2092, 2004, 2723, 2075, 1998, 6773, 1012, 1996, 2622, 2318, 2006, 2051, 1998, 4913, 2855, 10395, 2151, 3314, 2008, 10538, 2039, 2247, 1996, 2126, 2096, 4363, 2033, 10439, 29346, 2094, 1997, 2673, 2008, 2001, 2183, 2006, 1012, 4913, 2001, 2026, 2028, 1011, 2644, 4497, 2005, 2035, 2477, 15576, 2029, 3039, 2033, 2000, 3637, 3733, 2130, 2295, 1045, 2001, 2041, 1997, 2237, 2005, 1996, 9367, 1997, 1996, 2622, 1012, 1996, 2622, 2001, 1037, 4121, 3112, 1012, 2009, 2949, 2006, 5166, 1998, 2853, 8134, 2077, 1996, 6773, 2018, 9550, 1012, 4283, 4913, 999, 999, 999, 3889, 2057, 2020, 2559, 2005, 2619, 2000, 3143, 2256, 8102, 2007, 1996, 2168, 3737, 1998, 2729, 2004, 1996, 2717, 1997, 2256, 2188, 1012, 2665, 16535, 14872, 2256, 10908, 2011, 2437, 2256, 2047, 2181, 2256, 2188, 2049, 2047, 2265, 11198, 1012, 4283, 4913, 1012, 11503, 27861, 1043, 24472, 9697, 4913, 1004, 2010, 2136, 2949, 2019, 4866, 10525, 2006, 2019, 3080, 2188, 2008, 2018, 2042, 6310, 2011, 3025, 5608, 2058, 1996, 2086, 1012, 1996, 8651, 1997, 1996, 2188, 2003, 14726, 999, 2009, 2001, 1037, 5165, 2000, 2147, 2007, 4913, 1010, 3005, 3325, 1010, 2307, 4784, 1010, 19732, 2000, 8752, 3431, 1998, 20880, 2802, 1996, 2622, 1010, 25540, 10497, 6850, 7023, 1998, 3404, 1012, 2147, 2006, 1996, 2188, 2001, 2949, 1999, 1037, 23259, 5450, 1998, 1996, 3737, 1997, 2147, 21530, 2003, 10358, 1012, 4913, 2003, 2619, 2040, 2003, 2920, 1999, 2035, 5919, 1997, 1037, 2622, 2013, 2707, 2000, 3926, 1998, 2040, 5621, 3138, 6620, 1999, 2010, 2147, 1012, 10635, 2128, 1004, 2128, 11202, 2057, 11016, 4913, 1998, 2665, 16535, 2000, 2079, 1037, 2312, 7381, 2804, 1998, 2160, 10525, 2197, 2095, 2008, 2057, 2020, 2200, 7537, 2007, 1012, 2012, 1996, 2203, 1010, 2057, 4340, 2008, 1996, 11202, 2734, 2000, 2022, 2128, 2589, 2000, 2674, 1996, 2152, 4781, 1997, 1996, 17738, 1998, 2804, 1012, 1999, 2337, 2665, 16535, 3718, 2019, 2214, 1010, 2116, 6741, 6683, 21890, 7096, 11202, 2008, 2001, 19970, 1998, 2200, 17837, 1012, 2027, 2999, 2009, 2007, 2019, 6086, 9572, 1998, 4257, 2736, 5509, 11202, 6018, 3973, 2881, 2007, 2200, 10368, 7022, 1998, 11987, 1012, 2057, 2024, 5186, 7537, 2007, 2119, 1996, 3737, 1997, 1996, 11202, 1998, 1996, 2126, 1996, 11202, 4906, 1999, 2007, 1996, 2622, 1998, 1996, 2640, 2004, 1037, 2878, 1012, 2009, 2003, 3697, 2000, 2424, 16728, 2008, 2097, 2202, 2006, 2023, 2828, 1997, 2622, 2007, 2729, 1998, 2658, 2964, 2096, 7149, 2007, 6304, 2146, 3292, 1012, 4913, 2467, 2921, 2256, 5166, 1999, 2568, 1998, 2057, 12315, 2010, 6018, 11725, 2043, 2437, 2640, 6567, 1012, 2057, 2052, 2025, 16390, 2000, 16755, 2665, 16535, 1998, 4913, 7349, 22420, 2072, 2005, 2151, 2622, 2312, 2030, 2235, 1998, 2052, 7078, 2128, 3206, 4913, 2005, 2151, 2925, 3934, 2008, 2057, 2089, 2031, 1012, 24537, 2050, 2804, 1997, 1037, 2312, 2048, 2482, 7381, 1010, 17051, 2392, 4211, 2000, 2160, 1010, 7172, 2648, 1997, 2160, 2057, 2359, 1037, 2236, 13666, 2008, 2071, 3073, 2440, 2326, 2013, 2640, 1010, 2000, 3488, 2000, 2440, 2810, 1012, 4913, 1997, 2665, 16535, 2810, 2038, 3024, 2035, 1997, 2008, 1999, 1037, 2200, 2658, 5450, 1012, 2002, 7518, 2015, 2035, 1996, 4751, 1010, 2003, 2200, 6176, 1999, 6605, 1996, 5166, 1012, 2002, 2038, 2307, 3086, 2000, 6987, 1998, 5363, 2000, 2424, 1996, 2190, 3463, 2005, 2005, 1996, 2190, 3976, 1012, 2256, 2622, 2018, 2070, 3697, 4751, 2008, 2002, 3202, 8280, 1998, 2179, 7300, 2005, 1012, 4913, 1998, 2010, 3626, 2020, 2006, 1996, 3105, 2296, 2154, 1998, 1996, 2622, 2038, 2042, 2006, 2051, 1012, 4913, 2003, 2200, 16115, 3468, 1998, 3733, 2000, 3066, 2007, 1012, 2009, 2038, 2042, 1037, 5165, 2551, 2007, 4913, 1998, 1045, 2876, 1521, 1056, 16390, 2000, 16755, 2032, 2005, 2151, 10525, 2622, 1010, 2312, 2030, 2235, 999, 24537, 2050, 3829, 17738, 1010, 2392, 1997, 2160, 2417, 2080, 1998, 28404, 2057, 4149, 2256, 2160, 1999, 2255, 1997, 2297, 1998, 2787, 2059, 2057, 2052, 2298, 2005, 1037, 13666, 2000, 2079, 2070, 2147, 1012, 2057, 2973, 2039, 2167, 2012, 1996, 2051, 1998, 2253, 2006, 1996, 4274, 2000, 2424, 2028, 1012, 2296, 2051, 2057, 2246, 1010, 2665, 16535, 2810, 2921, 2746, 2039, 1012, 2057, 2106, 2025, 2131, 2000, 17710, 8261, 2532, 2127, 2254, 2325, 1012, 2320, 2153, 2057, 2246, 2105, 1998, 2665, 16535, 2921, 2746, 2000, 1996, 2327, 1997, 1996, 2862, 1012, 2057, 2170, 4913, 1998, 2777, 2000, 6848, 1996, 3829, 1998, 7759, 2282, 10525, 2004, 2092, 2004, 1996, 2392, 1997, 1996, 2160, 2000, 2022, 11536, 1998, 5957, 2094, 1012, 2057, 2018, 1037, 5166, 1999, 2568, 1998, 4913, 2001, 2583, 2000, 2272, 2039, 2007, 2019, 10197, 2008, 4906, 2306, 2009, 1012, 2004, 1996, 3105, 2001, 2055, 2000, 2707, 2057, 2794, 1037, 5877, 1998, 29267, 11589, 17738, 2007, 1037, 5166, 1999, 2568, 2153, 1998, 2001, 2036, 2777, 2007, 2053, 3314, 1012, 1996, 3626, 2001, 1037, 5165, 2000, 2031, 2006, 2609, 2057, 2020, 2583, 2000, 3113, 2035, 1997, 1996, 4942, 14279, 5051, 27469, 1998, 17088, 2734, 2005, 1996, 9531, 1997, 1996, 2147, 1998, 2027, 2020, 2035, 2200, 2658, 1998, 5379, 1012, 4913, 2003, 1037, 2200, 2330, 13128, 2711, 2061, 2057, 2020, 2583, 2000, 10639, 2256, 7777, 2030, 18959, 2015, 2004, 1996, 3105, 12506, 1998, 2031, 2032, 4952, 2000, 2054, 2057, 2020, 3038, 1012, 2002, 2003, 2200, 13459, 2012, 2054, 2002, 2515, 1998, 2467, 2018, 2149, 1999, 2568, 2043, 2009, 2234, 2000, 2893, 1996, 3105, 2589, 2306, 2256, 5166, 1012, 4913, 2038, 1037, 2200, 5541, 2568, 1998, 1996, 9560, 1997, 2256, 2188, 2057, 2085, 2031, 3065, 2009, 1012, 2057, 2024, 2200, 7098, 1997, 2256, 2160, 1998, 10334, 2040, 2354, 2009, 2077, 1996, 8651, 2038, 13711, 2098, 2009, 2200, 3811, 1012, 2057, 2052, 16755, 4913, 1998, 2010, 2136, 2005, 2151, 10525, 2030, 2311, 2622, 2017, 2089, 2031, 1999, 2568, 1012, 2957, 1004, 12082, 2878, 2160, 10525, 1012, 3829, 1010, 28942, 1010, 2035, 2723, 2075, 1010, 5992, 1010, 27902, 1010, 4169, 2057, 2024, 11757, 3407, 2007, 4913, 1998, 2007, 2256, 2188, 1012, 2256, 2160, 2001, 2328, 1999, 3055, 1010, 2145, 2018, 2087, 1997, 1996, 2434, 1010, 1998, 13718, 1010, 5061, 1998, 8782, 1010, 11773, 25545, 5844, 1012, 2228, 1006, 27233, 3406, 1011, 20377, 5302, 2140, 1007, 5061, 4675, 13284, 1010, 3770, 1521, 1055, 8158, 1010, 1998, 21146, 14075, 3829, 100, 2058, 2051, 2057, 2106, 2191, 2235, 8377, 2182, 1998, 2045, 2021, 2057, 2145, 6257, 2005, 2019, 7172, 2188, 1012, 2256, 2434, 2933, 2001, 2000, 2131, 2070, 16728, 2000, 3976, 2041, 1996, 2536, 5841, 1998, 2079, 2169, 2282, 3538, 2011, 3538, 1012, 2057, 2018, 1037, 2261, 16728, 1999, 2000, 3976, 2009, 2041, 1998, 2027, 2020, 7929, 1012, 2070, 2057, 2985, 1996, 2154, 2007, 4760, 2032, 2054, 2057, 2359, 2059, 2002, 2196, 2130, 11250, 2000, 10373, 2149, 1996, 16614, 2044, 2195, 15800, 1012, 10468, 2053, 2028, 2435, 2149, 1037, 3404, 13966, 3110, 1012, 2027, 2020, 2593, 2482, 1011, 18968, 2066, 1010, 26484, 1010, 2030, 1037, 2210, 11113, 8180, 3512, 1012, 2059, 2234, 4913, 1529, 1045, 2018, 2124, 4913, 3130, 2021, 1045, 2134, 1521, 1056, 2228, 2008, 2002, 2165, 2006, 2235, 5841, 1012, 1999, 1996, 2203, 2009, 2052, 2203, 2039, 2108, 1037, 2502, 3105, 1010, 2021, 2012, 1996, 2051, 1010, 2009, 2001, 2074, 2183, 2000, 2022, 1037, 2282, 2182, 1998, 1037, 2282, 2045, 2004, 2057, 5552, 2039, 2438, 2000, 2079, 2169, 2282, 1012, 4312, 1010, 1045, 2170, 4913, 1999, 2005, 2070, 16614, 1998, 2002, 2074, 3310, 2408, 2004, 2619, 2040, 2003, 2006, 2115, 2217, 1012, 2045, 2003, 2498, 8275, 2030, 2482, 1011, 18968, 9650, 2055, 2032, 1998, 1996, 2069, 2051, 2002, 4152, 11113, 8180, 3512, 2003, 2043, 2619, 2002, 11016, 2000, 2079, 1037, 3105, 2005, 2017, 2003, 2025, 3173, 2039, 2037, 2203, 1997, 1996, 17113, 1012, 2002, 2003, 1037, 10218, 2307, 3124, 1006, 1998, 2903, 2033, 1010, 2057, 7718, 2032, 100, 1999, 1996, 2203, 2057, 2787, 2000, 11147, 1996, 2878, 2160, 2012, 2320, 1012, 1012, 2043, 2026, 2564, 1521, 1055, 6450, 5510, 2001, 4439, 2039, 2256, 5166, 1010, 4913, 2001, 2045, 2000, 2507, 2149, 7047, 2006, 2129, 2000, 3828, 2769, 1012, 6585, 3688, 1010, 2367, 3971, 2000, 2079, 2477, 1010, 2129, 2000, 2191, 2477, 2298, 2488, 2006, 1037, 5166, 1012, 2002, 2001, 2074, 1037, 3819, 3815, 1997, 8606, 1010, 5012, 1010, 1998, 14044, 2791, 1012, 1006, 2776, 2026, 2564, 1521, 1055, 6450, 16958, 2180, 1010, 2021, 2057, 2024, 2062, 2084, 3407, 2007, 1996, 2765, 1007, 1012, 2471, 3679, 1045, 2001, 4851, 4913, 2065, 2057, 2071, 2404, 1999, 2023, 2030, 2008, 1010, 2129, 2172, 2052, 2009, 3465, 2000, 2079, 2023, 1010, 2064, 2057, 7324, 2041, 2008, 2813, 1010, 2064, 2057, 5587, 1999, 2023, 1010, 2129, 2172, 2052, 2009, 2022, 2000, 6773, 2008, 1010, 2129, 2172, 2515, 2023, 3465, 1012, 10468, 1010, 1045, 2359, 2000, 2156, 2129, 2172, 2057, 2071, 2131, 2185, 2007, 2256, 5166, 1012, 4913, 2467, 2165, 1996, 2051, 2000, 19045, 1998, 4118, 15004, 3437, 2026, 3980, 1010, 2507, 2033, 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, 2034, 21487, 1005, 2162, 2023, 3720, 3791, 3176, 22921, 2005, 22616, 1012, 1006, 2238, 2286, 1007, 1006, 4553, 2129, 1998, 2043, 2000, 6366, 2023, 23561, 4471, 1007, 1064, 2034, 21487, 1005, 2162, 1064, 1064, 11437, 1998, 4177, 1064, 1996, 2034, 21487, 1005, 2162, 1006, 12606, 2629, 1516, 12606, 2581, 1007, 2001, 1037, 2942, 2162, 1999, 1996, 2983, 1997, 2563, 1999, 2029, 1037, 2177, 1997, 22614, 2350, 20152, 1006, 4141, 3615, 2000, 2004, 21487, 1007, 2419, 2011, 2728, 27706, 13476, 3334, 1998, 3569, 2011, 1037, 2413, 2390, 2104, 1996, 2925, 3434, 9937, 1997, 2605, 1010, 11897, 2094, 2162, 2114, 2332, 2198, 1997, 2563, 1012, 1996, 2162, 4504, 2013, 1996, 2332, 1005, 1055, 13948, 2000, 5138, 1998, 11113, 5178, 2011, 20201, 11122, 2050, 2029, 2002, 2018, 10203, 2006, 2321, 2238, 12606, 2629, 1010, 1998, 2013, 1996, 19509, 1997, 1996, 2413, 3159, 1010, 2040, 7944, 1996, 2162, 2006, 2044, 2116, 1997, 1996, 8431, 2018, 2081, 3521, 2007, 2198, 1012, 2332, 2198, 1999, 2238, 12606, 2629, 2001, 3140, 2000, 2404, 2010, 7744, 2000, 1000, 1996, 4790, 1997, 1996, 21487, 1000, 2011, 1037, 2177, 1997, 3928, 21487, 2040, 2071, 2053, 2936, 3233, 2198, 1005, 1055, 3478, 4105, 1998, 4078, 11008, 2594, 3627, 1012, 1996, 2332, 1005, 1055, 2307, 7744, 2001, 4987, 2000, 2009, 2006, 2321, 2238, 12606, 2629, 1012, 1999, 2709, 1010, 1996, 21487, 9100, 2037, 11292, 2015, 1997, 10768, 2389, 3723, 2000, 2332, 2198, 2006, 2539, 2251, 12606, 2629, 1012, 1037, 5337, 6254, 2000, 2501, 1996, 3820, 2001, 2580, 2011, 1996, 2548, 3382, 2854, 2006, 2321, 2251, 1024, 2023, 2001, 1996, 2434, 20201, 11122, 2050, 1012, 1000, 1996, 2375, 1997, 1996, 2455, 1000, 2003, 2028, 1997, 1996, 2307, 3422, 22104, 1997, 20201, 11122, 2050, 1010, 3061, 1999, 4559, 2000, 1996, 2332, 1005, 1055, 8210, 2097, 1012, 1996, 20201, 11122, 2050, 1997, 12606, 2629, 4838, 24059, 2029, 1999, 3399, 25327, 4359, 1996, 2373, 1997, 1996, 2332, 1010, 2107, 2004, 11075, 6079, 1010, 1996, 1000, 3036, 11075, 1000, 1012, 2023, 11075, 3039, 1037, 2177, 1997, 2423, 21487, 2000, 2058, 15637, 1996, 2332, 2012, 2151, 2051, 2011, 2126, 1997, 2486, 1010, 1037, 5781, 3423, 2832, 2170, 4487, 20528, 18447, 2008, 2001, 3671, 1999, 16708, 6550, 2021, 2018, 2196, 2042, 4162, 2000, 1037, 2332, 1012, 2044, 1037, 2261, 2706, 1997, 2431, 1011, 18627, 4740, 2000, 13676, 1999, 1996, 2621, 1997, 12606, 2629, 1010, 2330, 8309, 3631, 2041, 2090, 1996, 8443, 21487, 1998, 1996, 2332, 1998, 2010, 6793, 1012, 2607, 1997, 2824, 3434, 4778, 1998, 10979, 1996, 2162, 2211, 2058, 1996, 20201, 11122, 2050, 2021, 2855, 2357, 2046, 1037, 1040, 18279, 10074, 2162, 2005, 1996, 6106, 1997, 2563, 1012, 1996, 8443, 21487, 1010, 4320, 2007, 1037, 3928, 2332, 1010, 2357, 2000, 3434, 1010, 2365, 1998, 8215, 6835, 1997, 2332, 5170, 2462, 1997, 2605, 1998, 7631, 1011, 1999, 1011, 2375, 1997, 2332, 2888, 2462, 1997, 2563, 1012, 1996, 5879, 5274, 2018, 4158, 2069, 17332, 2086, 2077, 1010, 1998, 1996, 3276, 2090, 2563, 1998, 2605, 2001, 2025, 2061, 3432, 4748, 14028, 10980, 2140, 2004, 2009, 2101, 2150, 1012, 1996, 3824, 6254, 2170, 1996, 16945, 1997, 4400, 12866, 5927, 2053, 26917, 1999, 5517, 2008, 3434, 2001, 4778, 2000, 18445, 1999, 2344, 2000, 1000, 4652, 1996, 8391, 2108, 17357, 18655, 2011, 12114, 1000, 1012, 2012, 2034, 1010, 1999, 2281, 12606, 2629, 1010, 3434, 3432, 2741, 1996, 21487, 1037, 15445, 1997, 7307, 2000, 4047, 2414, 1012, 2174, 1010, 2130, 2012, 2008, 2754, 2002, 2036, 3530, 2000, 2019, 2330, 5274, 1010, 2750, 28085, 3672, 2013, 2010, 2269, 1998, 2013, 4831, 7036, 3523, 1012, 2023, 2234, 1999, 2089, 12606, 2575, 1010, 2043, 3422, 3549, 2006, 1996, 3023, 1997, 2084, 3388, 11156, 17553, 2006, 1996, 9154, 1010, 1998, 2006, 1996, 2279, 2154, 1010, 1996, 2332, 1997, 2563, 1998, 2010, 8749, 2387, 3434, 1005, 3629, 4487, 3366, 11201, 8024, 2006, 1996, 3023, 1997, 5982, 1012, 2198, 2787, 2000, 4019, 2000, 1996, 10038, 3007, 1997, 12841, 1010, 1998, 2061, 3434, 2018, 2210, 5012, 2006, 2010, 2233, 2000, 2414, 1012, 2002, 3133, 2414, 1010, 2036, 2007, 2210, 5012, 1010, 1998, 2001, 10132, 2363, 2011, 1996, 8443, 21487, 1998, 4480, 1997, 2414, 1998, 10116, 1006, 2295, 2025, 10249, 1007, 2332, 2012, 2358, 2703, 1005, 1055, 5040, 1012, 2116, 13969, 5935, 2000, 2507, 14822, 2000, 2032, 1010, 2164, 3656, 2462, 1997, 3885, 1010, 2040, 2218, 10882, 12879, 2015, 1999, 2563, 1012, 2116, 1997, 2198, 1005, 1055, 6793, 1010, 13851, 1037, 10401, 1997, 2689, 1010, 2333, 2000, 2490, 1996, 21487, 1012, 9659, 1997, 3575, 10783, 1024, 1000, 1996, 12013, 1997, 8864, 2003, 2058, 1010, 1996, 2051, 1997, 7044, 2038, 2042, 4379, 1010, 2394, 26082, 2024, 2489, 2013, 1996, 10930, 3489, 1012, 1000, 2006, 2403, 2238, 3434, 4110, 12841, 1006, 2198, 2018, 2525, 2187, 1007, 1998, 2574, 11438, 2058, 2431, 1997, 1996, 2394, 2983, 1012, 2034, 6859, 1997, 13985, 1999, 1996, 12507, 1010, 1996, 2332, 1997, 2605, 19982, 14706, 2010, 2365, 2005, 2667, 2000, 16152, 2563, 2302, 2034, 24681, 2049, 3145, 1024, 13985, 1012, 1996, 2548, 15618, 2012, 9976, 1998, 10541, 1010, 2037, 4865, 1010, 1998, 5262, 1010, 2087, 1997, 5982, 2018, 2525, 5357, 2000, 3434, 2021, 2043, 2002, 2106, 2693, 2006, 2000, 13985, 3317, 2006, 2423, 2251, 2009, 2001, 4810, 1012, 2049, 12294, 1010, 15346, 2139, 20934, 27172, 1010, 2018, 1037, 2092, 1011, 8127, 8427, 1997, 2273, 1012, 1996, 2034, 6859, 2211, 2006, 2539, 2251, 1010, 2007, 3434, 2635, 1996, 2152, 2598, 2000, 1996, 2167, 1997, 1996, 3317, 1012, 2010, 2273, 5147, 25174, 2094, 1996, 3347, 13592, 2319, 1998, 4692, 2000, 2327, 10814, 1996, 3317, 4796, 1010, 2021, 2139, 20934, 27172, 1005, 1055, 2273, 3266, 2000, 16360, 2884, 1996, 17347, 1010, 10851, 1996, 12510, 1999, 1996, 3681, 2007, 5016, 26238, 1012, 1006, 2044, 1996, 6859, 1996, 5410, 2642, 4796, 2001, 8534, 1998, 10633, 2020, 2328, 1999, 2008, 2181, 1010, 2000, 2358, 2198, 1005, 1055, 3578, 1010, 1998, 1996, 2047, 12294, 1005, 1055, 4796, 1998, 27706, 29602, 6632, 2213, 1005, 1055, 4796, 1012, 1007, 1999, 1996, 12507, 3434, 1005, 1055, 6139, 1997, 5982, 2001, 2108, 25174, 2094, 2011, 1037, 15722, 2486, 1997, 2057, 19058, 2368, 23118, 2992, 1998, 2419, 2011, 2520, 1997, 16220, 16445, 1012, 2044, 2093, 2706, 2985, 2022, 11741, 4726, 1996, 3317, 1010, 1998, 2007, 1037, 2312, 2112, 1997, 2010, 2749, 18356, 2011, 1996, 6859, 1010, 3434, 2170, 1037, 18415, 2006, 2403, 2255, 1998, 2574, 2044, 2513, 2000, 2414, 1012, 6859, 2015, 1997, 10064, 1998, 10541, 4237, 2013, 13985, 1010, 1996, 2069, 3317, 2000, 2907, 2041, 2114, 3434, 2001, 2008, 2012, 10064, 1010, 2073, 3438, 23414, 7307, 5175, 1037, 2048, 1011, 3204, 6859, 1010, 2750, 5729, 4053, 2000, 1996, 3252, 1997, 2049, 2896, 4829, 1006, 3202, 13671, 1999, 12606, 2575, 2011, 2888, 3523, 1010, 2040, 2582, 13949, 1996, 16828, 2007, 1996, 2810, 1997, 1996, 2530, 11002, 2813, 1010, 2172, 1997, 2029, 13655, 2651, 1007, 1012, 2023, 2003, 4298, 2349, 2000, 2049, 2383, 2042, 2525, 17923, 2011, 1996, 21487, 1999, 12963, 2683, 1010, 2625, 2084, 2382, 2086, 3041, 1012, 1999, 6036, 2575, 1010, 2198, 2018, 2985, 14534, 16068, 2006, 10315, 2000, 10541, 3317, 1010, 1998, 2002, 2018, 2130, 3653, 6633, 24971, 2135, 2218, 2009, 2076, 1996, 2095, 1997, 1996, 7776, 2877, 2039, 2000, 20201, 11122, 2050, 1010, 2021, 1996, 6111, 1005, 1055, 3408, 2018, 3140, 2032, 2000, 2192, 2009, 2067, 2046, 1996, 9968, 1997, 4459, 11374, 2669, 1010, 6507, 1997, 9976, 1010, 1999, 2089, 12606, 2629, 1012, 1996, 8443, 21487, 2018, 2059, 2741, 3629, 2104, 2520, 1040, 1005, 8740, 5638, 19393, 2000, 1996, 3317, 1010, 2000, 3183, 2049, 12294, 14435, 2139, 9781, 7100, 2441, 1996, 3317, 1005, 1055, 6733, 1012, 2947, 1010, 2076, 2255, 12606, 2629, 2006, 2010, 10998, 2013, 13985, 2000, 2414, 1010, 2198, 2179, 10541, 1999, 2010, 2126, 1998, 2006, 2340, 2255, 2211, 2022, 11741, 4726, 2009, 1999, 2711, 1012, 1996, 8431, 2020, 8074, 14214, 2013, 2414, 2021, 2198, 2741, 2543, 3719, 2041, 2000, 6402, 2037, 2799, 1999, 1010, 1996, 2103, 1005, 1055, 2958, 2058, 1996, 19960, 4576, 1012, 2728, 27706, 13476, 3334, 8469, 2041, 2000, 2644, 1996, 2332, 1010, 3554, 2010, 2126, 3031, 1996, 2958, 2021, 2776, 2108, 7854, 2067, 2046, 1996, 3317, 1012, 2198, 2036, 14159, 1996, 5040, 1010, 2165, 2505, 1997, 3643, 1998, 6540, 2094, 2010, 5194, 1999, 2009, 1010, 2035, 2004, 1037, 7263, 2000, 11374, 2669, 1012, 4449, 2020, 2059, 2741, 2000, 1996, 2273, 1997, 9976, 1012, 2274, 6859, 5209, 2020, 2059, 7019, 1998, 2147, 3344, 2041, 2000, 25174, 1996, 11002, 2813, 1012, 2011, 2028, 1997, 2122, 2965, 1996, 2332, 1005, 1055, 2749, 3133, 1998, 2218, 1996, 8925, 1999, 2220, 2281, 1010, 1998, 2211, 7161, 1996, 2168, 9887, 2114, 1996, 2562, 1010, 2164, 2104, 25300, 3070, 1996, 2148, 1011, 2264, 3578, 1012, 1996, 3067, 1011, 4412, 2001, 3569, 2011, 4799, 24387, 1010, 2029, 2020, 2059, 2275, 4862, 13900, 2478, 10369, 1011, 6638, 1012, 2006, 2423, 2281, 12606, 2629, 2198, 2018, 2741, 1037, 25697, 2000, 1996, 2074, 24108, 2869, 3038, 1000, 4604, 2000, 2149, 2007, 2035, 3177, 2011, 2154, 1998, 2305, 1010, 5659, 1997, 1996, 6638, 22199, 14695, 1997, 1996, 4066, 2560, 2204, 2005, 5983, 2061, 2008, 2057, 2089, 3288, 2543, 4218, 1996, 3317, 1000, 4786, 1996, 2878, 3420, 1997, 1996, 2562, 2000, 7859, 1012, 1996, 8431, 6780, 2369, 1996, 2562, 1005, 1055, 2892, 1011, 2813, 2021, 2145, 3266, 2000, 2907, 2041, 1012, 1037, 2261, 2020, 3039, 2000, 2681, 1996, 3317, 2021, 2006, 2198, 1005, 1055, 4449, 2018, 2037, 2398, 1998, 2519, 8840, 11469, 2125, 2004, 2019, 2742, 1012, 3467, 2001, 2085, 4292, 1999, 1010, 1998, 1996, 3317, 2001, 2579, 2006, 2382, 2281, 2011, 22611, 1998, 2025, 2011, 2486, 1012, 2198, 2275, 2039, 1037, 3986, 2000, 1996, 14695, 1998, 1037, 25624, 9333, 2007, 1996, 6808, 1997, 5689, 1996, 2878, 8427, 1010, 2021, 2028, 1997, 2010, 15755, 1006, 28350, 3089, 2139, 5003, 9307, 2239, 1007, 11766, 2032, 2025, 2000, 6865, 1996, 8431, 2144, 5689, 2216, 2040, 2018, 10795, 2052, 2275, 1037, 20056, 2065, 2198, 2412, 10795, 1516, 2069, 2028, 2158, 2001, 2941, 17818, 1006, 1037, 2402, 19298, 2040, 2018, 3130, 2042, 1999, 2198, 1005, 1055, 2326, 1007, 1012, 1996, 6893, 1997, 1996, 8443, 21487, 2020, 2579, 2185, 1998, 8580, 2012, 2536, 2548, 1011, 2218, 15618, 1010, 2107, 2004, 2522, 12881, 2063, 3317, 1012, 1997, 1996, 6859, 1516, 2114, 2069, 2531, 8431, 1010, 1998, 22173, 2058, 1037, 4595, 7038, 1037, 2154, 1516, 1996, 8659, 4381, 9519, 2099, 2626, 1000, 2053, 2028, 4142, 2064, 3342, 1037, 6859, 2061, 16265, 4508, 1998, 2061, 2158, 7699, 13335, 1000, 1998, 2008, 1010, 2044, 2009, 1010, 1000, 2045, 2020, 2261, 2040, 2052, 2404, 2037, 3404, 1999, 15618, 1000, 1012, 2198, 2351, 1996, 2279, 2095, 1010, 2061, 2009, 3062, 2000, 2888, 3523, 2000, 7192, 1996, 3317, 1012, 2002, 2985, 2058, 14534, 1010, 2199, 2006, 14584, 1010, 2007, 2047, 16232, 1998, 11909, 2015, 1010, 1998, 1037, 2582, 14033, 2000, 12919, 1996, 16828, 1012, 1037, 2047, 4970, 2001, 2328, 2279, 2000, 1996, 2548, 9620, 1999, 1996, 8925, 1012, 1996, 2087, 3862, 6405, 3444, 2003, 1996, 2047, 2148, 1011, 2264, 3578, 1010, 2029, 2001, 2328, 2429, 2000, 1996, 6745, 5600, 2640, 1998, 2003, 2093, 1011, 7728, 2461, 2000, 2488, 13366, 2571, 6593, 7421, 2886, 1998, 2147, 2114, 4740, 2012, 2104, 25300, 3070, 1012, 2331, 1997, 2332, 2198, 2006, 2324, 2255, 12606, 2575, 1010, 2198, 11016, 1040, 23274, 10111, 2854, 1010, 2029, 2052, 4821, 6011, 10611, 1012, 2002, 2351, 2012, 12948, 3317, 1010, 20126, 1010, 1998, 2007, 2032, 1996, 2364, 3114, 2005, 1996, 3554, 1012, 3434, 2085, 2790, 2172, 2062, 1997, 1037, 5081, 2000, 5797, 4818, 5426, 2084, 2198, 1005, 1055, 3157, 1011, 2095, 1011, 2214, 2365, 1010, 3159, 2888, 1012, 2096, 10508, 1997, 12686, 1010, 1996, 4961, 2684, 1997, 2198, 1005, 1055, 2397, 6422, 2567, 11023, 1010, 8580, 2011, 2198, 2144, 6036, 2475, 1010, 13686, 2178, 4022, 4018, 2005, 1996, 4410, 1010, 1996, 21487, 2979, 2014, 2058, 2074, 2066, 2037, 18173, 1997, 2014, 3785, 2043, 1996, 20201, 11122, 2050, 2001, 3843, 1010, 2975, 2014, 2145, 1999, 3827, 1012, 5578, 4078, 20162, 2015, 1010, 3387, 1997, 12841, 1010, 1998, 1037, 2193, 1997, 21487, 6760, 2000, 2031, 1996, 2402, 2888, 2022, 10249, 2004, 2332, 1997, 2563, 1012, 2414, 2001, 2218, 2011, 3434, 1006, 2009, 2001, 2010, 2835, 1997, 2231, 1007, 1998, 3568, 2071, 2025, 2022, 2109, 2005, 2023, 12773, 2061, 1010, 2006, 2654, 2255, 12606, 2575, 1010, 2027, 2716, 1996, 2879, 2013, 1996, 3317, 2012, 14386, 11254, 2000, 13370, 6103, 1999, 2392, 1997, 1037, 2235, 5270, 15506, 2058, 2011, 1037, 12156, 4190, 3686, 1010, 19739, 7911, 12170, 25955, 11124, 1006, 1040, 1012, 13092, 2581, 1010, 3387, 1997, 2310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1052, 8873, 6290, 4111, 2740, 1015, 1003, 1999, 20614, 3085, 5576, 2005, 7125, 1998, 25430, 3170, 4031, 6412, 1024, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2003, 1037, 3201, 1011, 2000, 1011, 2224, 1010, 3609, 3238, 2000, 5122, 3756, 1010, 25403, 5576, 4820, 1015, 1003, 1059, 1013, 1058, 21008, 4168, 6593, 2378, 1006, 2184, 11460, 1013, 19875, 1007, 1012, 1999, 7125, 1010, 11703, 20389, 8528, 2003, 19788, 2000, 8116, 1996, 6749, 9998, 4270, 1006, 3263, 11338, 2290, 1013, 4705, 1997, 2303, 3635, 1007, 2043, 2445, 2011, 4942, 12690, 17191, 1006, 8040, 1007, 2030, 26721, 7606, 15431, 1006, 10047, 1007, 13341, 2012, 1996, 3446, 1997, 1015, 19875, 1013, 7287, 6053, 1997, 2303, 3635, 1012, 1999, 25430, 3170, 1010, 11703, 20389, 8528, 2003, 19788, 2000, 8116, 1996, 6749, 9998, 4270, 1006, 3998, 11338, 2290, 1013, 4705, 1997, 2303, 3635, 1007, 2043, 2445, 2011, 10047, 13341, 2012, 1996, 3446, 1997, 1015, 19875, 1013, 4293, 6053, 1997, 2303, 3635, 1012, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2003, 1037, 3811, 3161, 1010, 5041, 1011, 8674, 26045, 5178, 2005, 6687, 21673, 3447, 2000, 7125, 1998, 25430, 3170, 1012, 2009, 3397, 21008, 4168, 6593, 2378, 1010, 1037, 3117, 10768, 10867, 19304, 1011, 5173, 26632, 5666, 20464, 2594, 18749, 5524, 3603, 2011, 1052, 8873, 6290, 4297, 1012, 21008, 4168, 6593, 2378, 2003, 7275, 2013, 10768, 10867, 19304, 2015, 1997, 3479, 18859, 5173, 2013, 1996, 5800, 15923, 2358, 2890, 13876, 16940, 9623, 1037, 3078, 5549, 1997, 2895, 1997, 26632, 5666, 20464, 2594, 18749, 11115, 2003, 2000, 16913, 9869, 19057, 10163, 3149, 4023, 1999, 1996, 6091, 2291, 1997, 11265, 18900, 19847, 1998, 2396, 8093, 7361, 20620, 1012, 26632, 5666, 20464, 2594, 18749, 11115, 14187, 2000, 13833, 2008, 3623, 10804, 2566, 4168, 8010, 2000, 19057, 15956, 1012, 2023, 26402, 2015, 1996, 5992, 4023, 1997, 9113, 4442, 1999, 11265, 18900, 19847, 1998, 6740, 4442, 1999, 2396, 8093, 7361, 20620, 1998, 5320, 26287, 1998, 2331, 1997, 1996, 23996, 1012, 1999, 11993, 1010, 1996, 11265, 21017, 2389, 13833, 2000, 2029, 26632, 5666, 20464, 2594, 18749, 11115, 14187, 2024, 22574, 2306, 1996, 2430, 6091, 2291, 1006, 27166, 2015, 1007, 1010, 1037, 2609, 2584, 2011, 2069, 11265, 25394, 18507, 14061, 1997, 21008, 4168, 6593, 2378, 1012, 2028, 13004, 1997, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 6464, 18452, 1998, 7711, 1037, 2898, 2846, 1997, 2461, 22769, 1998, 2396, 8093, 7361, 7716, 23996, 2008, 17727, 11215, 1996, 2740, 1998, 15836, 1997, 7125, 1998, 25430, 3170, 1012, 2913, 2031, 7645, 1996, 3808, 7785, 1997, 11703, 20389, 8528, 13341, 1999, 7125, 1998, 25430, 3170, 1012, 1999, 3915, 7012, 1010, 2053, 11704, 5751, 2020, 2464, 1999, 7125, 2445, 2039, 2000, 2423, 2335, 1996, 6749, 13004, 1010, 2030, 1999, 25430, 3170, 2445, 2039, 2000, 2184, 2335, 1996, 6749, 13004, 1012, 2913, 2036, 7645, 3808, 1999, 16231, 27815, 28023, 1998, 10369, 13461, 5845, 2007, 2039, 2000, 1017, 2335, 1996, 6749, 13004, 1012, 1999, 3767, 1006, 12065, 1998, 24187, 2015, 1007, 1998, 3801, 1006, 17188, 1998, 2061, 9333, 2076, 1042, 14511, 2594, 18845, 23737, 1010, 27159, 3370, 1010, 5812, 23924, 19009, 1010, 1998, 2083, 16216, 20100, 1007, 1010, 1037, 13004, 1017, 2335, 1996, 6749, 13004, 2018, 2053, 3466, 2006, 8119, 4031, 24936, 1024, 7125, 1024, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2003, 5393, 2005, 1996, 3949, 1998, 2491, 1997, 1996, 2206, 17631, 2427, 1997, 3806, 13181, 18447, 19126, 2461, 22769, 2015, 1010, 11192, 22769, 2015, 1010, 3239, 22769, 2015, 1010, 24665, 12083, 2015, 1006, 2156, 29361, 1007, 1010, 13475, 5622, 3401, 1006, 2156, 29361, 1007, 1010, 1998, 2158, 3351, 10210, 2229, 1012, 23363, 2115, 29525, 26052, 6862, 2005, 5375, 1999, 1996, 11616, 1010, 3949, 1010, 1998, 2491, 1997, 11498, 28032, 2964, 1012, 3806, 13181, 18447, 19126, 2461, 22769, 2015, 1006, 6001, 1998, 2959, 2754, 9673, 1007, 1011, 9808, 3334, 15900, 2401, 9808, 3334, 15900, 2072, 1006, 2164, 26402, 2098, 9673, 1007, 1010, 1051, 1012, 1048, 19563, 2696, 1010, 5292, 26941, 16194, 2173, 2072, 1010, 13012, 9905, 3367, 17583, 18871, 12946, 2072, 1010, 1056, 1012, 8902, 12083, 3089, 14192, 2483, 1010, 1056, 1012, 2146, 2483, 24330, 7934, 2483, 2487, 1010, 6201, 2401, 2006, 3597, 8458, 6525, 1010, 1039, 1012, 26136, 25572, 2696, 1010, 1039, 1012, 7505, 2532, 9024, 2050, 1006, 19962, 1012, 11338, 8706, 2072, 1007, 1010, 21122, 14122, 5358, 2819, 6887, 2571, 18384, 5358, 2819, 2487, 1010, 2844, 8516, 25064, 6643, 8197, 7174, 13203, 2487, 1010, 1051, 2229, 7361, 3270, 12333, 20389, 2819, 10958, 9032, 11667, 1010, 13012, 20760, 6935, 26924, 1012, 1015, 11192, 22769, 2015, 1006, 6001, 1998, 2959, 2754, 9673, 1007, 1011, 4487, 6593, 7677, 3540, 11627, 6819, 5737, 19362, 2271, 3239, 22769, 2015, 1006, 6001, 1007, 1011, 1996, 2721, 12871, 26924, 1012, 24665, 12083, 2015, 1006, 26045, 5711, 1007, 1011, 1044, 22571, 27381, 2863, 8945, 11365, 1010, 1044, 1012, 2240, 4017, 2819, 13475, 5622, 3401, 1011, 5292, 14545, 14399, 13429, 7327, 24769, 16451, 2271, 1010, 11409, 8649, 16207, 2271, 6819, 8525, 3669, 1010, 7082, 3630, 11008, 2229, 6178, 9386, 5809, 2158, 3351, 10210, 2229, 1011, 8827, 14604, 13876, 2229, 8945, 11365, 1010, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2038, 2042, 4928, 2000, 6464, 2491, 15245, 1998, 2000, 4047, 7125, 2013, 27788, 25969, 3258, 2007, 6201, 2401, 2006, 3597, 8458, 6525, 1998, 5292, 26941, 16194, 2173, 2072, 2005, 2403, 2420, 1010, 9808, 3334, 15900, 2401, 9808, 3334, 15900, 2072, 2005, 2538, 2420, 1010, 1998, 1039, 1012, 26136, 25572, 2696, 1010, 1051, 2229, 7361, 3270, 12333, 20389, 2819, 10958, 9032, 11667, 1010, 1998, 4487, 6593, 7677, 3540, 11627, 6819, 5737, 19362, 2271, 2005, 2654, 2420, 2044, 3949, 1012, 25430, 3170, 1024, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2003, 5393, 2005, 1996, 3949, 1998, 2491, 1997, 1996, 2206, 2427, 1997, 3806, 13181, 18447, 19126, 2461, 22769, 2015, 1010, 11192, 22769, 2015, 1010, 14234, 16253, 1010, 13475, 5622, 3401, 1006, 2156, 29361, 1007, 1010, 1998, 2158, 3351, 10210, 2229, 1012, 23363, 2115, 29525, 26052, 6862, 2005, 5375, 1999, 1996, 11616, 1010, 3949, 1010, 1998, 2491, 1997, 11498, 28032, 2964, 1012, 3806, 13181, 18447, 19126, 2461, 22769, 2015, 1006, 6001, 1998, 2959, 2754, 9673, 1007, 1011, 2004, 10010, 2483, 10514, 2819, 1010, 1051, 2229, 7361, 3270, 12333, 20389, 2819, 21418, 4017, 2819, 1010, 1051, 2229, 7361, 3270, 12333, 20389, 2819, 1010, 17718, 6935, 8091, 7068, 11667, 2487, 1010, 2844, 8516, 25064, 16540, 2072, 2487, 1010, 1044, 7677, 3367, 17583, 18871, 14548, 3593, 2271, 2487, 11192, 22769, 2015, 1006, 6001, 1007, 1011, 18804, 3367, 17583, 18871, 26924, 1012, 14234, 16253, 1006, 6001, 1007, 1011, 15963, 20089, 2158, 3351, 10210, 2229, 1006, 6001, 1998, 26838, 5711, 1007, 1011, 18906, 3597, 13876, 2229, 8040, 28518, 7416, 13075, 1012, 24086, 2015, 13475, 5622, 3401, 1006, 6001, 1998, 26838, 5711, 1007, 1011, 5292, 14545, 14399, 13429, 24086, 2015, 21497, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2012, 1996, 6749, 9998, 4270, 1997, 3263, 11338, 2290, 21008, 4168, 6593, 2378, 2566, 4705, 1006, 6205, 11338, 2290, 1013, 6053, 1007, 1997, 2303, 3635, 1012, 2169, 19875, 3397, 2184, 11460, 1997, 21008, 4168, 6593, 2378, 1010, 7182, 2000, 7438, 7287, 6053, 1006, 2753, 4705, 1007, 1997, 2303, 3635, 1012, 2303, 3635, 1006, 6053, 1007, 25430, 3170, 1024, 21497, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2012, 1996, 6749, 9998, 4270, 1997, 3998, 11338, 2290, 21008, 4168, 6593, 2378, 2566, 4705, 1006, 15407, 11338, 2290, 1013, 6053, 1007, 1997, 2303, 3635, 1012, 2169, 19875, 3397, 2184, 11460, 1997, 21008, 4168, 6593, 2378, 1010, 7182, 2000, 7438, 4293, 6053, 1006, 4090, 4705, 1007, 1997, 2303, 3635, 1012, 2303, 3635, 1006, 6053, 1007, 6749, 3949, 2565, 2005, 25430, 3170, 1024, 2000, 6464, 17820, 2491, 1997, 2158, 3351, 1998, 13475, 5622, 3401, 1999, 25430, 3170, 1010, 2009, 2003, 2590, 2000, 7438, 2035, 4176, 1999, 1996, 14906, 1012, 2044, 3988, 3949, 1010, 2224, 11703, 20389, 8528, 5570, 2004, 4076, 1024, 2061, 9333, 1024, 7438, 1021, 1011, 2403, 2420, 3188, 2000, 2521, 10524, 2075, 2000, 18478, 7524, 1997, 10369, 13461, 2000, 10210, 2229, 1998, 13475, 5622, 3401, 1012, 13097, 3215, 1024, 7438, 1021, 1011, 2403, 2420, 3188, 2000, 8119, 1012, 7438, 1021, 1011, 2403, 2420, 3188, 2000, 2521, 10524, 2075, 1012, 24187, 2015, 1024, 7438, 1037, 6263, 1997, 1016, 2335, 2566, 2095, 1012, 21429, 14695, 1024, 7438, 2151, 2047, 21429, 14695, 2588, 5508, 2012, 3888, 2030, 2077, 11073, 1999, 4550, 7728, 1012, 2057, 7231, 2869, 1010, 4982, 2545, 1010, 3926, 2545, 1024, 2057, 7231, 2869, 1998, 4982, 1011, 2041, 1013, 3926, 2121, 14695, 2323, 2022, 5845, 2077, 11073, 1999, 4550, 2005, 4621, 2158, 3351, 9614, 1010, 2729, 2442, 2022, 2579, 2000, 4652, 27788, 14081, 3370, 2013, 7524, 2000, 4895, 7913, 4383, 4176, 2030, 19450, 3447, 1024, 4318, 1010, 25403, 3941, 1998, 2004, 23606, 2594, 8853, 2323, 2022, 2109, 2043, 21779, 1998, 28965, 11703, 20389, 8528, 1012, 2005, 3674, 13441, 2593, 6882, 13341, 3941, 2030, 2019, 2004, 8197, 15172, 12201, 2323, 2022, 2109, 1012, 7125, 1024, 21497, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2011, 1996, 8040, 2030, 10047, 2799, 1012, 13341, 2015, 2323, 2022, 2081, 2478, 1037, 2385, 7633, 12201, 2005, 4639, 7125, 2030, 2019, 2324, 7633, 12201, 2005, 2402, 4176, 1012, 17044, 1015, 1013, 1016, 1011, 1017, 1013, 1018, 1524, 1999, 3091, 2024, 4081, 2005, 8040, 3447, 1012, 1037, 1015, 1011, 1015, 1013, 1016, 1524, 12201, 2003, 4081, 2005, 10047, 3447, 1012, 8040, 13341, 2015, 2323, 2022, 8564, 2104, 1996, 6065, 3096, 1999, 2392, 1997, 2030, 2369, 1996, 3244, 1012, 10047, 13341, 2015, 2323, 2022, 8564, 2046, 1996, 13472, 2555, 1997, 1996, 3300, 1012, 12486, 3737, 16375, 11594, 16755, 8040, 3447, 2004, 1996, 6871, 2799, 1012, 25430, 3170, 1024, 21497, 11703, 20389, 8528, 1999, 20614, 3085, 5576, 2011, 1996, 10047, 2799, 1012, 1999, 20614, 1999, 1996, 3300, 2555, 2478, 2019, 2324, 7633, 1060, 1015, 1524, 12201, 2005, 2402, 4176, 1025, 1037, 2385, 7633, 1060, 1015, 1011, 1015, 1013, 1016, 1524, 12201, 2005, 2061, 9333, 1998, 24187, 2015, 1012, 2000, 14125, 8316, 21656, 8564, 2000, 10369, 13461, 1010, 2224, 1997, 1037, 7270, 11890, 18639, 25353, 4892, 2063, 1998, 2322, 7633, 1060, 1015, 1524, 12201, 2003, 6749, 1012, 16234, 1024, 2025, 2005, 2529, 2224, 1012, 2562, 2041, 1997, 3362, 1997, 2336, 1012, 1996, 3430, 3808, 2951, 7123, 1006, 5796, 5104, 1007, 3397, 2062, 6851, 16928, 3808, 2592, 1012, 2000, 3189, 15316, 3896, 1999, 5198, 1010, 2000, 6855, 2062, 2592, 1010, 2030, 2000, 6855, 2019, 5796, 5104, 1010, 2655, 21755, 16234, 1024, 7125, 1024, 2079, 2025, 14574, 2005, 2529, 8381, 2306, 3486, 2420, 1997, 3949, 1012, 2025, 2005, 2224, 1999, 2931, 11825, 7125, 2322, 2706, 1997, 2287, 2030, 3080, 1012, 1037, 10534, 2558, 2038, 2025, 2042, 2511, 2005, 2023, 4031, 1999, 3653, 6824, 19185, 28023, 1012, 2079, 2025, 2224, 1999, 28023, 2000, 2022, 13995, 2005, 2310, 2389, 1012, 25430, 3170, 1024, 2079, 2025, 14574, 2005, 2529, 8381, 2306, 2484, 2420, 1997, 3949, 1012, 29361, 1024, 11703, 20389, 8528, 2038, 2042, 2764, 4919, 2005, 2224, 1999, 7125, 1998, 25430, 3170, 2069, 1012, 2023, 4031, 2323, 2025, 2022, 2109, 1999, 2060, 4111, 2427, 2004, 5729, 15316, 9597, 1010, 2164, 20871, 1999, 6077, 1010, 2089, 2765, 1012, 2005, 8040, 13341, 1999, 7125, 2069, 1012, 2005, 10047, 13341, 1999, 25430, 3170, 1998, 7125, 1012, 2023, 4031, 2003, 4844, 2005, 1996, 3949, 1998, 2491, 1997, 13475, 5622, 3401, 1012, 2005, 3949, 1997, 12344, 5622, 3401, 1999, 7125, 1010, 2224, 1997, 11703, 20389, 8528, 10364, 1011, 2006, 2003, 6749, 1012, 11703, 20389, 8528, 2003, 3811, 4621, 2114, 2035, 5711, 1997, 7125, 24665, 12083, 2015, 1012, 2174, 1010, 5372, 10984, 1997, 3949, 2003, 2590, 1012, 2005, 2087, 4621, 3463, 1010, 7125, 2323, 2022, 5845, 2004, 2574, 2004, 2825, 2044, 1996, 2203, 1997, 1996, 12073, 4875, 1006, 2162, 3468, 1007, 2161, 1012, 6215, 1997, 1044, 22571, 27381, 2863, 9673, 1006, 7125, 24665, 12083, 2015, 1007, 2012, 1996, 2558, 2043, 2122, 24665, 12083, 2015, 2024, 1999, 8995, 2752, 2089, 3426, 6151, 2229, 7895, 3468, 3677, 1011, 21198, 9597, 2164, 1996, 6061, 1997, 20871, 1012, 4288, 1044, 1012, 2240, 4017, 2819, 2043, 2009, 2003, 1999, 1996, 8153, 4193, 1996, 19739, 22592, 2089, 3426, 1038, 4135, 4017, 1025, 4288, 1044, 1012, 8945, 11365, 2043, 2009, 2003, 1999, 1996, 2310, 19731, 10024, 2140, 5033, 2089, 3426, 26233, 2030, 26287, 1012, 2122, 9597, 2024, 2025, 3563, 2000, 3949, 2007, 11703, 20389, 8528, 1010, 2021, 2064, 5258, 2007, 2151, 3144, 3949, 1997, 24665, 12083, 2015, 1012, 7125, 2323, 2022, 5845, 2593, 2077, 2030, 2044, 2122, 5711, 1997, 24665, 12083, 2458, 1012, 23363, 2115, 29525, 26052, 6862, 7175, 1996, 5372, 2051, 7125, 5845, 2007, 11703, 20389, 8528, 2044, 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, 1996, 2250, 2486, 2708, 3727, 2369, 1037, 4138, 8027, 1045, 3728, 2356, 1996, 2250, 2486, 2708, 1010, 2250, 2708, 8610, 1042, 1012, 1044, 1012, 2350, 1010, 2040, 11036, 2015, 2006, 2089, 2861, 1010, 2055, 2010, 2048, 1011, 2095, 7470, 2927, 1015, 2258, 2289, 1012, 1999, 2010, 1999, 27605, 10880, 2806, 1010, 2002, 21864, 11469, 1010, 1523, 2009, 2001, 1037, 6919, 1010, 6980, 2489, 7470, 1012, 1524, 9353, 2213, 2350, 2038, 2042, 2019, 29350, 7801, 2326, 2708, 1010, 1998, 2038, 3039, 1996, 5860, 11795, 2075, 2865, 1006, 2486, 2443, 1007, 2000, 3942, 2250, 2486, 14111, 1998, 5630, 2477, 2005, 3209, 1012, 2023, 2038, 3271, 2033, 3305, 24264, 2546, 1521, 1055, 12154, 2076, 2010, 7470, 1025, 1998, 2027, 2024, 7564, 1012, 2327, 2006, 2026, 2862, 2003, 1996, 2147, 2589, 2006, 1996, 2859, 2392, 1012, 2044, 5109, 1997, 19046, 1010, 1996, 2093, 4721, 2578, 1010, 2007, 2231, 2490, 1010, 2024, 2633, 8243, 2055, 1996, 5081, 2013, 1996, 2264, 1012, 2445, 1996, 1018, 1010, 5709, 2575, 22287, 2146, 11621, 2455, 3675, 1999, 1999, 15006, 23270, 3085, 9291, 1010, 1996, 2250, 2486, 2038, 2579, 1037, 7782, 3357, 1024, 2049, 2162, 8998, 2038, 2904, 2013, 1520, 4487, 4757, 6692, 12742, 28283, 24413, 1521, 2000, 1520, 3161, 28283, 24413, 1521, 2114, 2859, 1012, 2023, 2965, 2008, 2612, 1997, 16151, 1037, 6143, 5600, 16819, 1010, 2029, 2097, 3499, 1996, 20228, 2050, 2000, 2954, 1037, 3675, 2162, 2006, 2634, 1521, 1055, 5800, 1010, 1996, 6942, 1011, 2058, 2003, 2085, 2000, 2954, 2612, 2006, 1996, 4099, 1521, 1055, 3700, 1012, 1996, 2047, 2250, 2486, 8998, 28024, 2015, 1996, 20228, 2050, 2162, 8998, 1010, 1998, 2097, 5676, 2008, 2256, 2219, 2749, 2024, 2025, 2872, 20502, 13453, 1012, 2000, 10408, 1996, 2047, 2162, 3241, 1010, 1996, 2250, 2486, 3791, 9844, 3941, 1998, 6502, 1012, 1998, 2023, 2038, 2042, 1037, 9470, 2076, 9353, 2213, 2350, 1521, 1055, 7470, 1012, 1999, 2089, 2263, 1010, 2002, 2409, 2033, 1024, 1523, 2057, 2031, 2085, 2787, 2000, 12486, 2039, 2256, 7045, 1998, 2062, 14780, 1996, 6502, 1999, 1996, 2789, 4753, 1012, 2057, 13566, 2715, 9355, 2256, 2250, 15058, 2015, 2000, 2191, 2068, 5214, 1997, 18457, 3136, 1997, 2035, 4127, 1997, 2948, 1010, 2119, 3082, 3665, 1998, 7299, 1010, 2164, 1996, 10514, 1011, 2382, 2213, 3211, 1012, 1524, 1996, 10514, 1011, 2382, 2213, 3211, 2024, 10975, 18908, 9355, 6515, 3909, 2013, 1996, 3393, 2232, 2250, 2486, 2918, 1010, 1998, 2306, 2048, 2000, 2093, 2086, 1010, 2320, 1996, 6502, 2005, 2037, 12708, 1998, 6032, 2003, 3024, 1010, 1996, 4239, 2948, 2097, 2022, 8642, 8895, 2045, 1012, 2000, 9462, 1996, 18085, 1047, 11783, 5575, 2474, 1006, 3413, 1007, 1010, 1996, 3393, 2232, 1998, 27793, 5562, 2250, 2486, 3703, 2024, 2108, 9725, 2000, 2468, 2981, 7293, 2389, 3703, 1012, 2763, 1996, 2062, 2590, 2147, 2003, 1996, 2311, 1997, 1037, 2897, 1997, 5083, 4899, 5286, 1006, 2632, 5620, 1007, 1998, 2002, 15000, 19303, 2005, 2250, 1011, 12708, 6959, 2000, 3073, 2250, 1011, 20831, 2000, 1996, 3365, 29104, 2752, 1012, 2023, 2097, 2393, 2119, 1999, 2162, 1998, 3521, 1010, 2926, 1996, 3732, 2004, 2458, 2147, 2006, 3675, 4925, 2247, 1996, 2240, 1997, 5025, 2491, 8990, 3030, 2044, 1996, 3055, 7680, 24979, 5063, 14684, 5325, 2007, 2859, 1012, 2796, 3629, 2202, 2420, 2006, 3329, 2000, 3362, 3365, 3675, 8466, 1010, 2029, 3961, 3013, 1011, 2125, 2005, 2087, 2112, 1997, 1996, 2095, 2138, 1997, 4297, 16930, 4765, 4633, 1012, 2320, 1996, 2632, 5620, 2024, 2800, 1010, 2119, 1996, 2019, 1011, 3590, 1998, 1996, 4397, 3734, 1039, 1011, 7558, 3501, 2948, 2064, 2455, 2045, 2000, 3073, 10514, 21408, 3126, 2000, 1996, 3629, 1012, 3145, 2632, 5620, 1999, 1996, 2530, 4753, 1006, 14804, 27573, 1007, 2008, 2031, 2042, 8878, 2024, 4830, 7068, 2102, 11693, 2214, 2666, 1010, 11865, 2243, 5403, 1010, 1998, 6396, 9626, 1010, 2148, 1997, 14684, 14235, 2140, 2012, 2410, 1010, 4278, 6199, 2157, 2104, 1996, 20228, 2050, 4451, 1012, 1045, 2001, 2556, 2012, 1996, 3393, 2232, 2250, 2486, 2276, 2048, 3134, 2077, 1996, 2019, 1011, 3590, 2948, 2001, 2000, 2455, 2012, 11865, 2243, 5403, 2632, 2290, 1025, 1996, 6888, 2001, 18414, 14454, 4630, 1998, 2009, 2018, 2000, 2022, 2464, 2000, 2022, 3373, 1012, 2005, 1996, 2789, 4753, 1006, 28217, 24409, 7970, 1007, 1010, 2009, 2001, 4372, 11365, 18655, 2008, 2176, 2632, 5620, 2012, 10722, 3436, 1010, 2033, 26516, 2050, 1010, 12436, 3900, 18279, 6843, 1998, 14674, 18377, 4017, 2052, 2022, 9725, 1998, 1037, 2261, 2047, 3924, 2052, 2022, 2328, 1012, 6854, 1010, 2147, 2006, 1996, 2632, 5620, 1999, 28217, 24409, 7970, 2003, 3048, 2200, 3254, 1012, 3026, 2250, 2486, 3738, 2360, 2008, 2023, 2003, 2349, 2000, 4879, 17510, 16985, 10672, 4757, 2004, 2536, 4483, 14860, 2015, 2024, 2025, 3733, 2000, 2272, 2011, 1012, 2023, 2089, 2022, 6822, 2995, 1012, 1045, 8343, 2008, 2047, 6768, 2003, 5191, 2055, 7211, 1521, 1055, 4668, 2000, 2510, 4023, 1999, 28217, 24409, 7970, 1012, 2859, 1010, 2044, 2035, 1010, 3728, 15959, 2000, 1996, 3942, 1997, 1996, 2796, 2343, 1998, 3539, 2704, 2000, 1996, 2110, 1010, 1998, 2054, 2003, 15741, 1010, 2027, 2031, 8534, 5414, 2013, 1996, 4004, 2458, 2924, 2005, 1037, 2622, 1999, 1996, 3675, 2110, 1025, 2019, 2181, 1997, 3938, 1010, 2199, 2015, 4160, 22287, 2008, 2859, 2003, 6815, 2004, 2049, 3700, 1012, 2047, 6768, 2323, 2025, 10514, 9468, 25438, 2000, 7211, 1521, 1055, 3778, 9887, 2004, 4728, 2027, 2097, 3613, 2000, 2811, 2582, 1012, 2178, 2181, 2073, 9353, 2213, 2350, 17210, 27447, 2003, 1996, 2524, 5245, 2002, 2038, 2445, 2000, 1996, 4906, 7699, 3048, 2422, 4337, 2948, 1006, 29215, 2050, 1007, 2622, 2108, 2764, 2011, 1996, 25010, 2458, 3691, 1006, 15262, 1007, 1997, 1996, 2852, 3527, 1012, 2306, 1037, 3204, 1997, 2635, 2436, 1010, 9353, 2213, 2350, 2018, 2139, 29462, 1037, 2260, 1011, 2266, 2250, 2486, 2136, 2104, 20704, 2213, 1039, 1012, 16660, 3900, 27659, 2000, 2131, 11157, 2007, 1996, 15262, 2004, 1996, 1520, 2622, 8822, 2136, 1012, 1521, 1996, 4112, 2250, 2486, 2708, 2144, 2059, 2038, 2042, 15252, 1996, 8915, 17386, 1006, 29215, 2050, 1007, 2622, 2169, 3204, 1010, 1998, 9353, 2213, 2350, 2370, 4152, 2019, 10651, 2296, 4284, 1012, 1996, 3041, 2136, 3003, 2001, 2999, 2011, 20704, 2213, 17429, 23624, 1037, 3204, 3283, 2004, 2112, 1997, 3180, 9963, 1012, 1996, 8915, 17386, 2622, 2472, 1010, 2852, 1052, 1012, 1055, 1012, 4942, 14672, 17238, 2213, 2409, 2033, 2006, 2048, 6642, 1006, 1996, 2117, 2051, 1037, 2733, 3283, 1007, 2008, 1996, 1520, 2622, 8822, 2136, 1521, 2038, 5301, 1996, 6393, 1997, 1996, 4746, 12381, 1012, 2043, 1045, 2356, 2032, 2129, 2023, 2038, 2042, 2589, 1010, 2002, 3880, 2008, 1520, 2057, 1010, 6529, 2024, 2200, 4603, 2007, 2256, 20794, 1010, 6168, 1999, 5025, 3909, 2107, 11841, 3012, 2342, 2025, 2022, 2628, 1012, 1521, 2023, 2038, 2404, 1996, 3151, 9866, 2006, 2049, 2132, 2005, 1996, 9523, 5056, 1997, 1996, 8915, 17386, 2622, 1012, 2005, 2742, 1010, 2852, 4942, 14672, 17238, 2213, 2515, 2025, 4737, 2055, 1996, 3909, 2847, 2589, 1010, 2021, 2003, 16966, 2006, 1996, 2193, 1997, 3231, 1011, 2685, 2008, 5478, 2000, 2022, 5147, 16330, 1012, 3231, 2685, 6523, 2000, 1996, 2948, 6459, 1998, 2158, 8913, 2226, 24790, 2066, 1996, 7998, 1998, 3177, 3431, 2008, 1996, 2948, 2064, 2079, 1999, 1037, 2445, 2051, 1012, 2852, 4942, 14672, 17238, 2213, 2003, 9657, 1997, 1996, 3988, 6515, 14860, 1006, 25941, 1007, 2011, 2285, 2230, 1998, 1996, 2345, 6515, 14860, 1006, 1042, 10085, 1007, 2011, 2262, 1012, 2174, 1010, 2005, 1996, 1042, 10085, 1010, 1996, 24264, 2546, 3791, 2000, 5630, 1996, 1038, 19716, 10815, 2008, 2009, 4122, 2000, 2224, 2007, 8915, 17386, 1012, 4953, 1996, 4800, 1011, 5549, 7217, 1006, 3461, 2099, 1007, 27354, 1010, 2029, 2003, 6964, 2589, 2044, 1996, 25941, 1010, 2852, 4942, 14672, 17238, 2213, 2409, 2033, 2008, 1996, 2598, 5604, 2038, 2525, 2042, 2589, 1010, 1998, 1999, 1996, 2279, 2416, 3134, 1010, 1996, 3462, 5604, 2097, 2022, 2589, 1012, 2002, 2038, 2019, 2344, 2005, 2871, 8915, 17386, 2013, 1996, 24264, 2546, 2029, 2097, 2022, 7130, 2007, 16216, 24837, 1999, 11387, 1998, 16216, 24837, 1042, 2475, 3501, 2509, 5209, 1012, 2023, 2003, 2025, 2035, 1012, 1996, 21792, 2361, 2005, 1996, 2047, 3194, 2029, 2097, 2373, 1996, 8915, 17386, 2928, 2462, 2003, 3517, 2000, 2022, 3843, 3859, 2005, 16216, 4601, 2549, 1998, 1041, 3501, 3263, 5209, 1012, 2852, 4942, 14672, 17238, 2213, 4527, 2033, 2011, 3038, 2008, 2002, 2097, 9398, 3686, 8915, 17386, 2928, 2462, 1999, 2403, 2000, 2324, 2706, 2044, 1996, 2047, 3194, 2003, 4013, 19405, 1012, 1037, 2047, 3194, 2052, 5478, 2128, 1011, 12697, 1997, 1996, 4373, 13478, 1010, 1998, 1996, 8413, 1997, 1996, 3462, 4372, 15985, 7361, 3672, 2052, 2342, 2000, 2022, 10641, 3929, 1012, 2429, 2000, 2032, 1010, 2002, 2038, 2275, 2039, 2048, 15262, 2780, 2525, 1010, 2028, 2169, 2000, 2147, 2006, 1996, 2640, 3431, 2007, 2593, 3194, 1012, 2320, 1996, 3194, 2003, 2787, 1010, 1996, 2060, 2136, 1010, 2029, 2052, 2031, 5935, 11532, 1999, 12697, 1010, 2052, 3693, 1996, 2364, 2136, 1012, 5121, 1037, 21082, 2518, 2000, 2031, 2589, 1025, 2002, 2052, 2031, 17535, 2010, 5198, 2006, 2023, 1012, 1999, 2010, 12024, 1010, 2009, 5707, 2041, 1997, 2010, 2677, 2008, 1996, 24264, 2546, 2038, 2525, 5393, 2019, 2344, 2005, 2274, 11435, 1997, 8915, 17386, 2928, 2462, 1012, 2011, 22476, 2075, 1996, 5310, 2136, 2007, 1996, 9722, 1010, 9353, 2213, 2350, 2038, 7645, 2010, 12157, 2005, 27427, 29206, 6648, 1010, 1998, 1996, 2342, 2000, 14570, 1996, 2622, 2077, 2009, 10514, 9468, 25438, 2015, 2000, 1999, 8743, 2401, 2320, 2153, 1012, 2007, 2026, 3942, 2000, 15262, 2416, 2706, 3283, 1998, 2044, 1996, 3522, 8290, 2007, 1996, 8915, 17386, 2622, 2472, 1010, 1045, 2572, 9657, 2008, 1996, 8915, 17386, 2052, 3693, 1996, 24264, 2546, 12612, 1999, 2204, 2051, 1010, 2074, 2043, 1996, 2720, 3540, 4152, 8120, 2046, 1996, 2326, 1012, 1996, 2720, 3540, 4087, 9312, 2015, 2024, 2058, 1010, 1998, 3026, 2250, 2486, 3738, 2360, 2008, 1996, 3462, 9312, 2015, 2097, 22825, 1999, 2203, 1011, 2089, 1013, 2220, 2238, 1012, 1037, 2091, 1011, 4989, 1997, 1996, 10159, 2003, 2006, 1996, 5329, 1025, 2025, 2035, 1997, 1996, 2416, 10159, 2040, 2031, 7226, 2005, 1996, 2720, 3540, 2024, 1999, 6664, 1997, 9859, 2008, 2027, 2031, 11310, 2006, 3259, 1012, 2074, 2004, 1996, 21792, 2361, 2005, 1996, 2720, 3540, 2008, 2001, 2741, 2041, 2006, 9353, 2213, 2350, 1521, 1055, 3422, 2001, 1037, 7721, 6254, 1010, 1996, 3462, 7012, 2052, 2022, 1037, 3117, 3325, 2005, 1996, 24264, 2546, 1012, 2045, 2097, 2022, 3462, 7012, 1999, 2634, 1998, 1999, 1996, 17534, 2406, 1012, 1996, 24264, 2546, 2052, 2036, 2022, 2559, 2012, 1996, 4128, 1999, 1996, 17534, 3032, 2000, 3305, 5919, 2066, 4031, 2490, 1010, 2974, 4651, 1998, 2061, 2006, 1012, 1996, 3168, 1045, 2031, 2288, 2003, 2008, 1996, 24264, 2546, 2038, 4810, 2993, 2000, 16617, 5041, 1011, 2241, 1998, 26203, 3462, 9312, 2015, 1012, 2178, 2152, 8400, 1997, 9353, 2213, 2350, 1521, 1055, 7470, 2001, 1996, 24264, 2546, 1521, 1055, 4668, 2000, 1996, 2656, 1013, 2340, 10576, 1012, 2306, 2420, 1997, 1996, 9452, 2886, 1010, 2043, 1996, 2576, 4105, 2001, 12436, 6895, 4571, 3436, 2055, 24114, 4501, 2005, 1996, 2724, 1010, 1996, 7268, 2510, 4105, 2018, 3530, 2008, 2069, 1996, 4501, 2390, 2071, 2031, 3344, 2041, 1996, 11718, 4894, 1012, 1996, 24264, 2546, 2001, 1999, 1996, 22870, 9990, 2000, 2634, 1521, 1055, 2327, 4105, 2008, 2051, 2018, 2272, 2000, 2224, 1996, 2250, 2373, 1025, 2130, 2065, 2009, 3214, 2019, 9686, 25015, 3508, 1010, 1996, 24264, 2546, 2071, 2507, 1037, 6703, 4451, 2000, 1996, 4099, 1999, 10124, 2051, 2096, 4363, 17601, 2917, 1996, 4517, 11207, 1012, 2320, 1996, 24264, 2546, 1521, 1055, 2641, 6040, 2001, 2275, 4998, 1010, 2009, 2001, 10358, 2008, 2047, 6768, 2018, 4217, 4721, 2058, 15226, 1012, 4721, 1997, 10759, 2150, 1996, 12610, 18351, 1998, 1996, 2231, 6628, 3435, 1011, 2650, 17402, 1997, 6515, 2135, 4187, 3941, 1012, 2096, 2025, 6224, 2151, 2047, 17402, 1010, 1996, 24264, 2546, 2081, 1996, 2553, 2000, 12919, 2250, 4721, 1997, 1996, 10759, 1010, 2029, 4821, 2003, 2049, 7082, 5368, 1012, 1037, 12687, 2628, 2044, 2086, 1997, 27427, 8586, 17417, 8159, 7971, 1012, 17402, 1997, 2536, 13907, 1998, 1037, 2312, 3528, 1997, 2455, 1011, 2241, 7217, 2015, 2020, 13364, 5985, 2011, 1996, 4721, 3757, 1012, 2114, 1037, 9095, 1997, 5824, 7217, 2015, 1010, 2570, 3616, 2020, 3530, 2000, 2022, 4156, 2306, 1037, 3204, 1012, 2096, 1996, 5396, 2846, 3302, 2000, 2250, 7421, 1006, 2720, 1011, 3520, 1007, 2622, 10776, 10607, 2011, 1996, 2852, 3527, 1011, 5611, 24264, 2072, 2038, 2448, 2046, 5931, 4633, 1010, 1996, 24264, 2546, 7164, 2008, 2009, 2052, 2025 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3120, 1024, 8299, 1024, 1013, 1013, 7479, 1012, 5631, 5886, 19058, 1012, 4012, 1010, 2089, 1021, 1010, 2760, 2011, 1024, 15614, 6819, 23296, 16835, 1010, 6141, 11265, 3511, 3022, 1998, 8437, 26729, 26525, 7033, 1037, 3145, 5509, 2490, 24224, 1999, 1996, 20076, 3516, 2248, 2118, 14662, 2958, 2764, 24185, 18752, 14045, 15288, 2184, 2420, 2077, 1996, 3252, 2001, 4196, 2046, 2173, 2058, 1996, 17214, 25107, 2072, 4446, 1010, 7008, 1998, 2019, 4722, 10373, 4895, 18447, 4765, 19301, 2135, 2207, 2011, 1996, 2082, 2265, 1012, 1996, 5491, 1010, 2207, 1999, 3433, 2000, 2270, 2636, 11186, 2013, 1996, 5631, 9536, 1010, 2265, 2008, 10882, 2226, 1521, 1055, 2810, 1998, 3330, 2136, 3603, 9280, 18636, 15288, 1999, 1996, 2958, 3041, 2084, 4584, 2031, 3130, 8969, 1012, 1996, 15288, 2020, 2179, 1999, 2397, 2337, 2012, 1996, 2918, 1997, 1037, 19754, 2490, 2266, 2012, 1996, 2167, 2203, 1997, 1996, 8487, 1012, 2981, 6145, 2031, 4453, 2008, 2004, 1996, 2391, 2073, 1996, 3252, 10909, 2006, 2233, 2321, 2096, 2104, 2810, 1010, 6016, 1996, 20317, 1011, 10228, 2958, 12894, 3031, 1996, 18799, 2917, 1998, 6815, 2416, 3268, 1012, 2093, 2981, 6145, 2040, 8920, 1996, 7760, 1010, 2636, 1998, 2958, 2630, 16550, 2015, 2012, 1996, 9536, 1521, 1055, 5227, 9530, 10841, 20529, 1996, 15288, 2020, 1037, 2417, 5210, 14828, 9280, 4187, 8332, 3471, 1012, 2648, 8519, 2031, 5717, 2098, 1999, 2006, 2008, 24224, 2266, 1010, 4453, 1999, 3488, 2004, 2053, 1012, 2340, 1010, 2004, 2108, 1523, 2104, 1011, 2881, 1524, 1517, 2008, 2003, 1010, 2025, 2844, 2438, 2000, 19319, 1996, 3778, 2013, 1996, 3635, 1997, 1996, 2958, 2009, 2001, 4011, 2000, 2907, 2039, 1012, 1996, 3295, 1998, 19754, 4338, 1997, 1996, 15288, 3491, 1999, 1996, 10882, 2226, 2136, 1521, 1055, 7760, 2490, 2008, 3399, 1010, 1996, 6145, 2056, 1012, 2027, 2056, 1996, 15288, 2323, 2031, 9469, 2147, 2006, 1996, 2958, 2000, 2644, 2005, 2019, 1999, 1011, 5995, 3319, 2008, 3497, 2052, 2031, 4504, 1999, 1996, 24224, 4434, 2108, 2128, 1011, 13685, 1998, 6022, 11013, 1012, 1523, 4209, 1996, 23253, 2008, 2266, 2001, 2104, 1998, 2054, 3047, 1010, 2008, 8579, 2001, 2242, 2008, 1999, 17666, 25807, 2323, 2031, 2042, 10847, 1010, 1524, 2056, 2585, 10272, 1010, 1037, 2047, 7035, 3992, 2040, 3271, 26944, 12051, 1999, 3731, 1521, 1055, 1002, 2184, 1012, 1022, 4551, 2502, 10667, 2622, 1012, 11409, 3702, 18473, 1010, 1037, 3026, 3992, 2012, 1037, 3146, 3813, 2008, 16997, 1999, 2958, 2640, 1998, 10569, 1010, 2056, 1996, 15288, 2020, 5751, 1997, 1996, 3252, 1521, 1055, 1523, 17566, 4945, 1012, 1524, 1523, 2045, 1521, 1055, 2498, 2027, 2071, 2031, 2589, 2460, 1997, 3225, 2058, 1998, 25136, 2075, 1996, 3252, 1010, 1524, 2056, 18473, 1010, 3005, 3813, 17976, 2958, 29589, 2005, 1996, 2110, 1997, 3146, 1012, 1037, 2353, 3992, 17535, 2011, 1996, 9536, 9530, 10841, 20529, 2007, 1996, 2034, 2048, 2021, 2356, 2025, 2000, 2022, 2315, 1012, 1037, 2959, 2958, 3992, 1010, 6798, 2310, 11335, 3367, 3217, 1997, 10553, 1010, 2056, 1996, 15288, 2106, 2025, 3711, 3278, 2000, 2032, 1012, 1523, 1996, 7760, 2123, 1521, 1056, 4415, 3073, 2151, 15774, 2000, 2033, 3141, 2000, 7209, 4945, 1010, 1524, 2310, 11335, 3367, 3217, 2056, 1999, 2019, 10373, 1012, 1523, 1045, 2052, 7868, 2122, 15288, 2052, 2031, 2042, 13671, 2011, 4958, 11636, 2100, 13341, 2077, 1996, 2958, 2001, 2333, 1012, 1524, 2138, 10882, 2226, 1998, 2110, 5193, 4584, 3613, 2000, 2007, 12640, 2060, 4187, 2636, 2104, 8128, 2013, 1996, 2120, 5193, 3808, 2604, 1010, 2009, 1521, 1055, 2524, 2000, 2360, 2054, 1996, 10882, 2226, 2136, 1521, 1055, 3433, 2000, 1996, 15288, 2001, 1012, 1999, 1037, 13114, 1012, 2654, 24443, 1010, 4560, 17103, 1010, 1037, 10552, 3992, 2005, 10882, 2226, 1010, 3964, 2028, 8579, 1999, 3327, 1523, 22617, 2569, 3086, 1012, 1524, 17103, 23876, 2008, 1996, 2958, 3992, 1997, 2501, 2022, 17535, 1523, 2000, 3073, 1037, 3433, 1012, 1524, 2008, 3992, 1997, 2501, 2003, 1059, 1012, 7939, 5420, 6986, 2063, 1997, 20965, 2290, 2958, 2177, 1010, 2029, 2881, 1996, 2958, 1012, 1996, 24443, 2001, 2741, 2000, 1037, 2622, 3208, 2012, 14163, 3490, 4571, 2810, 2968, 1010, 1996, 2958, 2622, 1521, 1055, 12508, 1010, 1998, 15826, 2000, 12007, 26532, 1010, 1037, 2810, 2622, 3208, 2012, 10882, 2226, 1010, 1998, 2060, 2372, 1997, 1996, 2622, 2136, 1012, 23961, 19022, 1010, 2029, 2003, 11538, 1996, 2958, 7859, 1010, 2038, 2409, 10882, 2226, 1998, 1996, 3516, 2533, 1997, 5193, 2025, 2000, 2713, 2636, 6052, 2044, 13114, 1012, 2539, 1010, 2061, 2045, 2024, 2053, 2800, 2270, 2636, 2000, 6254, 2151, 3433, 2013, 20965, 2290, 2030, 2060, 2136, 2372, 2000, 17103, 1521, 24443, 1012, 1996, 9536, 2038, 12923, 2000, 6855, 4745, 2636, 3141, 2000, 1996, 2958, 7859, 1012, 1996, 2958, 7859, 2003, 2036, 1996, 3395, 1997, 1037, 5631, 1011, 27647, 2610, 18268, 4812, 1998, 2945, 1997, 2070, 1997, 1996, 5694, 2031, 6406, 20543, 1012, 1996, 13114, 1012, 2654, 24443, 1998, 1996, 4987, 7760, 1997, 15729, 2020, 2207, 1999, 7561, 1010, 2019, 10882, 2226, 4905, 1010, 4388, 2003, 11261, 4246, 1010, 2056, 6928, 1012, 2044, 1996, 9536, 11925, 10882, 2226, 2005, 7615, 2006, 1996, 15288, 1010, 2003, 11261, 4246, 6303, 12060, 3972, 12870, 2151, 4809, 1997, 1996, 5491, 2013, 2037, 7588, 1012, 1523, 2151, 2524, 4809, 2008, 2031, 2042, 2081, 2036, 2323, 2022, 3908, 1010, 1524, 2003, 11261, 4246, 2626, 1012, 2928, 14418, 20799, 3540, 1010, 2019, 4905, 2012, 2726, 1004, 8840, 19053, 10624, 5052, 1996, 9536, 1999, 2049, 2270, 2636, 11186, 2000, 10882, 2226, 1010, 2056, 1996, 9536, 2038, 2053, 14987, 2000, 14037, 1012, 1523, 1996, 9536, 2038, 1037, 2034, 7450, 2157, 2000, 10172, 2023, 2592, 1010, 1998, 1996, 2270, 2038, 1037, 2157, 2000, 2113, 2054, 2089, 2031, 2419, 2000, 2023, 6659, 2724, 1010, 1524, 2002, 2056, 1012, 1996, 15288, 8832, 1999, 1996, 13114, 1012, 2654, 24443, 2020, 3603, 2096, 1996, 8487, 2001, 2145, 8345, 2006, 1996, 2598, 1010, 2044, 1996, 8208, 1997, 5741, 26822, 4892, 2008, 3024, 2490, 2096, 2009, 2001, 2328, 2011, 1996, 2217, 1997, 1996, 4446, 1012, 10272, 1998, 18473, 2056, 2008, 1521, 1055, 9280, 4129, 2138, 1996, 8487, 2012, 2008, 2391, 2001, 8345, 2069, 2006, 1037, 2490, 2006, 2593, 2203, 1010, 23150, 6834, 1996, 2126, 2009, 2052, 3233, 2320, 5361, 2058, 1996, 18799, 1012, 1996, 15288, 2947, 2071, 2031, 2042, 1037, 3696, 1997, 18330, 2075, 3778, 1517, 1037, 12579, 6911, 1517, 2008, 1996, 2053, 1012, 2340, 24224, 2071, 2025, 5047, 2320, 2104, 1996, 2440, 7170, 2009, 2001, 3214, 2000, 4287, 1012, 2119, 10272, 1998, 18473, 1010, 17142, 2060, 2648, 6145, 2040, 2031, 16578, 7271, 2800, 2630, 16550, 2015, 1010, 2636, 1010, 7760, 1998, 6876, 1010, 2903, 1996, 4434, 2090, 1996, 2053, 1012, 2340, 24224, 1998, 1996, 2958, 5877, 1517, 1996, 2173, 2073, 1996, 15729, 4158, 1517, 2001, 9996, 2881, 1010, 11158, 7182, 3886, 1998, 5509, 2000, 4562, 1996, 8216, 7170, 2872, 2006, 2009, 1012, 2035, 1996, 6145, 17902, 2008, 1037, 3154, 1011, 3013, 3426, 2005, 1996, 7859, 2089, 2025, 2022, 2511, 2127, 1996, 23961, 19022, 12466, 2049, 15306, 1010, 1998, 2008, 2037, 4106, 2071, 2689, 2241, 2006, 2047, 2592, 1012, 2702, 2420, 2044, 1996, 13114, 1012, 2654, 24443, 1010, 1996, 2958, 1521, 1055, 2364, 8487, 1010, 24212, 2011, 1996, 2217, 1997, 1996, 2346, 1010, 2001, 4196, 2046, 2173, 2011, 2048, 2569, 3665, 2545, 1012, 2008, 2965, 10882, 2226, 1521, 1055, 6145, 1998, 16728, 2018, 2593, 2589, 2242, 2000, 4769, 1996, 15288, 2030, 5531, 2027, 2020, 2025, 2019, 3277, 1010, 1996, 2648, 6145, 2056, 1012, 1999, 2755, 1010, 2070, 3576, 15729, 2001, 3603, 2130, 3041, 1010, 2060, 2207, 2636, 2265, 1010, 2021, 7219, 2004, 4297, 5644, 2063, 15417, 4818, 1517, 1037, 7091, 1996, 2981, 6145, 5993, 2007, 1012, 2021, 2093, 2420, 2044, 1996, 2958, 2001, 4196, 2046, 2173, 1010, 6986, 2063, 2170, 2019, 1042, 27364, 2880, 2000, 3189, 2008, 15729, 2018, 2042, 2179, 2012, 1996, 2167, 2203, 1997, 1996, 2958, 1010, 2636, 2207, 2011, 1996, 4034, 3202, 2044, 1996, 7859, 2265, 1012, 1999, 1037, 2680, 3042, 4471, 1010, 6986, 2063, 2056, 1996, 15288, 2106, 2025, 5050, 1037, 3808, 15559, 2021, 2323, 2022, 13671, 1012, 2009, 1521, 1055, 3243, 2825, 2008, 1996, 15288, 6986, 2063, 2988, 2020, 1996, 2168, 3924, 1999, 1996, 7760, 1998, 24443, 2013, 13114, 1012, 2654, 1010, 18473, 2056, 1012, 1996, 15288, 2453, 2031, 2468, 4788, 2044, 1996, 2958, 2001, 2333, 1998, 2275, 1999, 2173, 1010, 8345, 10234, 1037, 1052, 8516, 2239, 2012, 2593, 2203, 1012, 2008, 2052, 2926, 2022, 1996, 2553, 2065, 1996, 2053, 1012, 2340, 24224, 1010, 1996, 2197, 19754, 3538, 2012, 1996, 2167, 2203, 1010, 2001, 2927, 2000, 8246, 2104, 1996, 2440, 7170, 1997, 1996, 2958, 1010, 2002, 2056, 1012, 1996, 15288, 2020, 6936, 2012, 1037, 3116, 1997, 2622, 2136, 2372, 1996, 2851, 1997, 1996, 7859, 1010, 2295, 2053, 3808, 5936, 2020, 2992, 1010, 1042, 27364, 2056, 1012, 1996, 2958, 7798, 2096, 10604, 2020, 10234, 1996, 19467, 1521, 1055, 14582, 1010, 19158, 1996, 6980, 2006, 3886, 2490, 19485, 2503, 1996, 2053, 1012, 2340, 24224, 2266, 2004, 4026, 2506, 2000, 4834, 2006, 1996, 2330, 2346, 2917, 1012, 3251, 1996, 10604, 2020, 18711, 2030, 29476, 2075, 1996, 19485, 2038, 2025, 2042, 21362, 1010, 2021, 2071, 2022, 4187, 1999, 9990, 1996, 3426, 1997, 1996, 7859, 1012, 2138, 1996, 24224, 1011, 2828, 2640, 1997, 1996, 2958, 2965, 2045, 2003, 2053, 21707, 2490, 1010, 1996, 4945, 1997, 1037, 2309, 8332, 3538, 2064, 3288, 1996, 2972, 2058, 15194, 2091, 2104, 2049, 2219, 3635, 1010, 8519, 2360, 1012, 2028, 2220, 3189, 1010, 2011, 1057, 1012, 1055, 1012, 12411, 1012, 8879, 14548, 3695, 1010, 2018, 1996, 10604, 18711, 1996, 19485, 1999, 2019, 3947, 2000, 2485, 1996, 15288, 1010, 2877, 2000, 12143, 2008, 2058, 1011, 18711, 2071, 2031, 3303, 1996, 24224, 2000, 27271, 1012, 2021, 2060, 8519, 1010, 8951, 2207, 2958, 3488, 1010, 2360, 2027, 2020, 2062, 3497, 29476, 2075, 1996, 19485, 1012, 1996, 19485, 2020, 4593, 1037, 14080, 2000, 1996, 3488, 1010, 2794, 2000, 1996, 2958, 2640, 2044, 1042, 27364, 2356, 10882, 2226, 2000, 2693, 1996, 2972, 2958, 2340, 2519, 2167, 2000, 8752, 1037, 2925, 4644, 2005, 6671, 1012, 1996, 2693, 3140, 1037, 2689, 1999, 1996, 5362, 10250, 12322, 9250, 2933, 2005, 3048, 1996, 2958, 2046, 2173, 1012, 2009, 2404, 1996, 2167, 2203, 1997, 1996, 2364, 8487, 2092, 2125, 1996, 3341, 1997, 1996, 18799, 2006, 1037, 5033, 2924, 1012, 2138, 1037, 3665, 3698, 2071, 2025, 20811, 2008, 18799, 3341, 1010, 1996, 2391, 2073, 2009, 2052, 6336, 1996, 3252, 2001, 2333, 2646, 1996, 2415, 1997, 1996, 2958, 1012, 2008, 2965, 1996, 2203, 2052, 7842, 2290, 2043, 4196, 1012, 2000, 4652, 2008, 1010, 1996, 19485, 2020, 2794, 2000, 3073, 4469, 4012, 27484, 2490, 1012, 1996, 19485, 2020, 8371, 2077, 1996, 2958, 2001, 4196, 2125, 1996, 2598, 1012, 1996, 3488, 2170, 2005, 2068, 2000, 2022, 22456, 2044, 1996, 2958, 2001, 1999, 2173, 2138, 2008, 4469, 13379, 2001, 2053, 2936, 2734, 1012, 2008, 1521, 1055, 1996, 3169, 2070, 8519, 2903, 2001, 14128, 2043, 1996, 2958, 22088, 11368, 2098, 2000, 1996, 2598, 1012, 1996, 15288, 1999, 1996, 13114, 1012, 2654, 6254, 2020, 3603, 2044, 1996, 19485, 2020, 8371, 1010, 2030, 13233, 1010, 1999, 7547, 2005, 1996, 6336, 1012, 1999, 1996, 10860, 24443, 1010, 17103, 1010, 2019, 3992, 2007, 10882, 2226, 8930, 12118, 10730, 1004, 9228, 1010, 2356, 11338, 2213, 1998, 6986, 2063, 2000, 1523, 5646, 2065, 2122, 2020, 3517, 2076, 1996, 2958, 6911, 2075, 1010, 1524, 1998, 25369, 2041, 2028, 8579, 2008, 1523, 2349, 2000, 1996, 2946, 1524, 2734, 1523, 2569, 3086, 1012, 1524, 8951, 1996, 15288, 1998, 2010, 2219, 16268, 4760, 2008, 1996, 2053, 1012, 2340, 24224, 2001, 14527, 2135, 15849, 19168, 6924, 1010, 18473, 15520, 2008, 2593, 3169, 1517, 18711, 2030, 29476, 2075, 1517, 2071, 2031, 2042, 2438, 2000, 27271, 1996, 4434, 1012, 1523, 2144, 2009, 2001, 2157, 2006, 1996, 20911, 1997, 4945, 1010, 15933, 2017, 22995, 2009, 1517, 8797, 1517, 2009, 3632, 1010, 1524, 18473, 2056, 1012, 1523, 2009, 2074, 2734, 1037, 2210, 5245, 2000, 2175, 2058, 1996, 3341, 1012, 1524, 1037, 12949, 2012, 6528, 6024, 3992, 1010, 4209, 2054, 2785, 1997, 7170, 1996, 2053, 1012, 2340, 2266, 2001, 4011, 2000, 4287, 1010, 2323, 2031, 17747, 2307, 14046, 1998, 3641, 1037, 16030, 3319, 1010, 9544, 8231, 2011, 2019, 2981, 3992, 2025, 2920, 1999, 1996, 2622, 2000, 5676, 4874, 7730, 1010, 18473, 2056, 1012, 2445, 1996, 2958, 2001, 2333, 2046, 2173, 2574, 2044, 1998, 3525, 3062, 1010, 2002, 15980, 2008, 2106, 2025, 4148, 1012, 1523, 1996, 15288, 2024, 4129, 2068, 2008, 1996, 4434, 2003, 7989, 1010, 2021, 2027, 1521, 2128, 2025, 3773, 2009, 1010, 1524, 18473, 2056, 1012, 1523, 2043, 2009, 1521, 1055, 2115, 2640, 1010, 2017, 11581, 4697 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3191, 2023, 2972, 3931, 1998, 6971, 2000, 4790, 2034, 999, 999, 999, 2017, 2442, 3305, 2008, 2035, 26001, 2024, 2025, 1523, 3819, 1012, 1524, 3531, 2022, 3056, 2017, 2031, 9608, 10908, 2055, 5343, 6077, 2077, 2017, 12040, 2019, 4646, 2005, 9886, 1012, 2035, 1997, 2256, 26001, 2024, 2200, 2569, 1999, 2037, 2219, 2126, 1010, 1998, 2017, 2442, 2031, 2009, 2306, 2115, 2540, 2000, 5138, 2068, 2004, 3265, 2004, 2027, 2272, 1012, 1996, 2779, 2287, 1997, 6077, 2057, 2131, 2046, 5343, 2003, 1017, 2000, 1022, 2086, 2214, 1012, 2057, 2036, 2131, 2070, 3080, 1010, 3026, 6077, 2008, 2031, 2569, 3791, 1012, 2069, 5681, 2097, 2057, 2131, 6077, 2104, 1996, 2287, 1997, 1016, 1010, 1998, 2216, 6077, 2097, 2022, 4233, 2855, 2011, 17362, 1998, 2372, 2040, 2031, 2042, 3403, 1996, 6493, 2005, 2068, 1012, 2116, 2008, 2057, 2079, 2131, 2097, 5478, 2160, 1011, 2731, 1998, 2060, 14260, 2731, 1012, 2057, 3246, 2017, 2097, 3921, 23659, 1037, 3899, 2004, 2065, 2017, 2024, 2635, 1999, 1037, 2047, 2155, 2266, 2040, 2089, 2342, 1037, 2210, 1523, 7748, 1524, 2006, 2129, 2115, 3327, 2155, 2573, 1012, 2122, 6077, 2342, 2017, 999, 3098, 2115, 2540, 1998, 2188, 2000, 1037, 5343, 3899, 3138, 1037, 2200, 2569, 2711, 2030, 2972, 2155, 2008, 2003, 5627, 2000, 2022, 4824, 1998, 5776, 2096, 2017, 2035, 2131, 2000, 2113, 2169, 2060, 1012, 5366, 1997, 19273, 1037, 12973, 8040, 7295, 4887, 6290, 2054, 2000, 5987, 2013, 1037, 10148, 8040, 7295, 4887, 6290, 16151, 1037, 2155, 9004, 2024, 2017, 3201, 2000, 11092, 1029, 3899, 3954, 1521, 1055, 5009, 1024, 5343, 6077, 2339, 2025, 1037, 2879, 1029, 2057, 4374, 2521, 2062, 3287, 6077, 2046, 5343, 2084, 3801, 1012, 3531, 5136, 16151, 1037, 3287, 1516, 1996, 8040, 7295, 4887, 6290, 3337, 2342, 2115, 8295, 2188, 2205, 999, 12973, 8040, 7295, 4887, 16750, 2024, 1037, 6919, 8843, 999, 2027, 2024, 3760, 6077, 1006, 3227, 2090, 2184, 20850, 2015, 1516, 2423, 20850, 2015, 1007, 1010, 9414, 1010, 18114, 1010, 1998, 2200, 7422, 2000, 2037, 2945, 1012, 1996, 1523, 2779, 1524, 26462, 2003, 2403, 1011, 2385, 2086, 1012, 2027, 2079, 2025, 8328, 1010, 2021, 2079, 2342, 2000, 2031, 2037, 2606, 18087, 2098, 2055, 2296, 1020, 1011, 1022, 3134, 1012, 2023, 3768, 1997, 8328, 4667, 3084, 2068, 2028, 1997, 1996, 2087, 2512, 1011, 2035, 2121, 16505, 3899, 15910, 1012, 12973, 8040, 7295, 4887, 16750, 2064, 2036, 2022, 2200, 9474, 1997, 2037, 2945, 1998, 7894, 1010, 1998, 2036, 2191, 2204, 1523, 3422, 1524, 6077, 1012, 2062, 2236, 18558, 2006, 1996, 8843, 1024, 8299, 1024, 1013, 1013, 2572, 11020, 1012, 2149, 1013, 2055, 1012, 16129, 2021, 3531, 2123, 1521, 1056, 2292, 2122, 6919, 12955, 2022, 2115, 2069, 9584, 2005, 16151, 1037, 10148, 12973, 8040, 7295, 4887, 6290, 1012, 10148, 8040, 7295, 4887, 16750, 2089, 2031, 2042, 12936, 2005, 1037, 3528, 1997, 4436, 1010, 1998, 2089, 2342, 2070, 2051, 1998, 2115, 2393, 2000, 2468, 1996, 6919, 2155, 7452, 2008, 2057, 2035, 2113, 1998, 2293, 1012, 2823, 1037, 5343, 2089, 2342, 2393, 2007, 2160, 23654, 2075, 3314, 1010, 2030, 2393, 2000, 4553, 2129, 2000, 2377, 2007, 10899, 1010, 2030, 4553, 2000, 4133, 1010, 1998, 2823, 26001, 2024, 3819, 2013, 1996, 2617, 2057, 2424, 2068, 999, 2057, 2074, 3198, 2008, 2017, 3531, 12246, 2470, 1996, 8843, 1998, 2592, 2055, 26001, 2077, 2017, 12040, 2019, 9886, 4646, 2000, 2149, 1012, 2057, 2215, 2115, 2155, 1998, 1996, 10148, 3899, 2000, 2031, 1037, 6919, 2166, 2362, 1010, 1998, 2008, 2064, 2069, 4148, 2065, 2017, 2031, 9608, 10908, 2013, 1996, 2927, 999, 2156, 1996, 2137, 12973, 8040, 7295, 4887, 6290, 2252, 1521, 1055, 4037, 2005, 26213, 1997, 2060, 5343, 2967, 2005, 12973, 8040, 7295, 4887, 16750, 2802, 1996, 2142, 2163, 1012, 2024, 2017, 2157, 2005, 1037, 10148, 12973, 8040, 7295, 4887, 6290, 1029, 1996, 6469, 2945, 1998, 7314, 1997, 2167, 3792, 8040, 7295, 4887, 6290, 5343, 2293, 1998, 2729, 2005, 2035, 1997, 2256, 10148, 12973, 8040, 7295, 4887, 16750, 1012, 2057, 2024, 5462, 2000, 5094, 2169, 3899, 2424, 1996, 3819, 2155, 2005, 2010, 1013, 2014, 6180, 1998, 3791, 1010, 1998, 23313, 2172, 1997, 2256, 2489, 2051, 2000, 6951, 2005, 1996, 5343, 1012, 2057, 2036, 5382, 2008, 2025, 3071, 2003, 10897, 2005, 1037, 10148, 8040, 7295, 4887, 6290, 1010, 2061, 2057, 2215, 2000, 16957, 1996, 2270, 2055, 10148, 6077, 1012, 3071, 2323, 2113, 1998, 3305, 2129, 2172, 2051, 1010, 2729, 1010, 1998, 2769, 3632, 2046, 1037, 10148, 3899, 1012, 2017, 2442, 2036, 2022, 5627, 2000, 2022, 5776, 1998, 3524, 2005, 1996, 2157, 10148, 8040, 7295, 4887, 6290, 2000, 2272, 2247, 2005, 2115, 2155, 1012, 3531, 2079, 2025, 6611, 2000, 11092, 1037, 5343, 4983, 2017, 2024, 4810, 2000, 2022, 5776, 1998, 5627, 2000, 3524, 1037, 3204, 2030, 2130, 2062, 2005, 1996, 2157, 3899, 2005, 2115, 2155, 1012, 2065, 2017, 6611, 1998, 2059, 5454, 2000, 4965, 1037, 17022, 1010, 2017, 2031, 13842, 2116, 6951, 2847, 2008, 2071, 2031, 2908, 2000, 2393, 6077, 2008, 2020, 1999, 18704, 2342, 1012, 2054, 2515, 1037, 10148, 7163, 8040, 7295, 4887, 6290, 2342, 1029, 2115, 3647, 1998, 8295, 2188, 1516, 2256, 8040, 7295, 4887, 16750, 2031, 2272, 2013, 2116, 8146, 1011, 2070, 2020, 2179, 2004, 15926, 2015, 1010, 2070, 2579, 2013, 17177, 1010, 1998, 2070, 2357, 1999, 2013, 5608, 1012, 2116, 2272, 2007, 14260, 1998, 1013, 2030, 2591, 3471, 1010, 2029, 1996, 6469, 2155, 5363, 2000, 6709, 1998, 6149, 1012, 4346, 1037, 3647, 1998, 8295, 2188, 7126, 1996, 3899, 14171, 2000, 1037, 2047, 2188, 1012, 24787, 2945, 2442, 3613, 2023, 2832, 1997, 2551, 19080, 2007, 1996, 3899, 1998, 2551, 2007, 1996, 3265, 3899, 1521, 1055, 6180, 1998, 2569, 3791, 1012, 3071, 2323, 5382, 2008, 26001, 2097, 2411, 2031, 3471, 1011, 2027, 1521, 2128, 2788, 2025, 3819, 1998, 2092, 26979, 6077, 1011, 1998, 2070, 3471, 2089, 2030, 2089, 2025, 2022, 4453, 2096, 2027, 2024, 1999, 6469, 2729, 1012, 6669, 4738, 6077, 2024, 4678, 1999, 26001, 2138, 2027, 2788, 2994, 2007, 2037, 2155, 1012, 3568, 1010, 1037, 4010, 1998, 3647, 4044, 2003, 2590, 2005, 1037, 10148, 3899, 2000, 14171, 1998, 2514, 5851, 1012, 1037, 8426, 2000, 1996, 10148, 3899, 1521, 1055, 3791, 1516, 24787, 2945, 2442, 10797, 3209, 1998, 2022, 5776, 2007, 1037, 10148, 3899, 1012, 2027, 2323, 3073, 2731, 1010, 2591, 3989, 1010, 1998, 3737, 2051, 2007, 1996, 3899, 1010, 2130, 2065, 2009, 5942, 1037, 2689, 1997, 6134, 1012, 2147, 2003, 2411, 2019, 8016, 2109, 2011, 2111, 2040, 4995, 1521, 1056, 5094, 2037, 2047, 3899, 7392, 1999, 1012, 3568, 1010, 2057, 3046, 2000, 2173, 6077, 1999, 5014, 2073, 2027, 2180, 1521, 1056, 2022, 2187, 2894, 2035, 2154, 1010, 2030, 5791, 2025, 2005, 2062, 2084, 1022, 2847, 2012, 1037, 2051, 1012, 2108, 2591, 7329, 1010, 6077, 2064, 2468, 15615, 2043, 11471, 1011, 17492, 1010, 10443, 1010, 19372, 1010, 22298, 1010, 4385, 1012, 5674, 2383, 1037, 2047, 3336, 1010, 5026, 2009, 2188, 1010, 2059, 2975, 2009, 2894, 2005, 2847, 2006, 2203, 1516, 2017, 2876, 1521, 1056, 2079, 2008, 1010, 2061, 3531, 2123, 1521, 1056, 5987, 2000, 2079, 2009, 2007, 1037, 10148, 3899, 999, 2115, 8426, 2000, 2731, 1516, 2045, 2024, 2536, 2731, 4725, 2008, 2064, 2022, 2109, 1010, 1998, 2097, 2035, 2393, 3857, 1037, 3276, 2090, 1996, 3899, 1998, 3954, 1012, 2017, 2089, 2215, 2000, 5463, 22645, 4280, 2007, 2115, 3899, 2030, 10887, 2019, 1999, 1011, 2188, 3899, 10365, 1012, 2731, 2003, 1037, 2112, 1997, 3625, 9004, 6095, 1010, 1998, 2009, 2036, 12011, 1996, 3899, 2000, 3582, 1998, 4847, 1996, 3691, 1997, 2049, 2047, 3954, 1012, 2057, 16755, 2731, 2083, 3893, 23895, 1011, 2478, 8489, 1010, 18452, 1010, 2030, 19054, 2044, 1996, 3899, 4076, 4449, 2030, 3065, 6149, 5248, 1012, 2017, 2089, 2036, 2342, 2000, 2147, 2007, 27297, 2731, 2115, 8040, 7295, 4887, 6290, 2065, 2002, 1013, 2016, 2003, 2025, 27297, 13642, 2869, 3512, 1012, 3180, 6912, 1516, 2004, 2007, 2087, 6077, 1010, 3180, 6912, 7906, 8040, 7295, 4887, 16750, 7965, 1998, 3407, 1012, 2009, 2097, 2036, 4652, 2068, 2013, 3352, 11471, 1010, 2029, 2411, 3463, 1999, 15615, 5248, 1012, 2191, 2469, 2008, 2017, 2031, 1996, 2051, 2000, 2377, 3608, 1999, 1996, 16125, 1010, 2377, 2007, 10899, 1999, 1996, 2160, 1010, 2202, 2115, 8040, 7295, 4887, 6290, 2000, 1996, 2380, 1010, 2030, 2005, 1037, 3328, 2105, 1996, 5101, 2012, 2560, 1037, 2261, 2335, 1037, 2733, 1012, 18087, 2075, 1516, 8040, 7295, 4887, 16750, 2323, 2031, 2037, 2606, 18087, 2098, 2055, 2296, 1020, 1011, 1022, 3134, 1012, 3180, 12766, 2036, 7126, 4652, 22281, 1998, 2191, 18087, 2075, 6082, 1012, 2017, 2089, 2031, 2068, 12145, 18087, 2098, 1006, 2779, 3465, 2055, 1002, 2382, 1011, 1002, 2871, 2169, 18087, 1007, 1010, 2030, 4553, 2129, 2000, 18087, 2068, 4426, 1012, 15651, 2729, 1516, 2074, 2066, 2035, 6077, 1010, 8040, 7295, 4887, 16750, 5478, 12142, 4638, 22264, 1010, 2342, 7058, 2540, 22769, 4652, 8082, 1010, 1998, 26735, 1998, 16356, 9740, 1012, 2320, 2017, 1521, 2310, 4233, 1037, 5343, 1010, 2035, 1996, 8236, 3378, 2007, 1996, 3899, 2097, 2022, 2115, 5368, 1012, 3531, 2022, 4810, 1998, 2933, 2005, 2122, 5366, 1012, 1045, 1521, 1049, 3201, 2000, 11092, 1998, 2031, 2949, 1996, 4646, 6226, 2832, 1010, 2085, 2054, 6433, 1029, 2320, 2017, 1521, 2310, 2042, 4844, 2000, 11092, 2013, 2149, 1010, 2057, 2147, 2000, 2674, 2039, 1996, 2157, 3899, 2000, 2115, 2155, 1012, 2065, 2057, 2747, 2031, 1037, 3899, 1999, 6469, 2729, 2008, 2003, 1037, 2204, 1523, 2674, 1524, 2005, 2017, 1010, 2057, 2089, 2292, 2017, 3942, 2032, 1013, 2014, 1999, 1996, 6469, 2188, 1006, 2065, 2017, 2444, 3518, 1007, 2030, 2031, 2017, 2831, 2000, 1996, 6469, 2188, 2000, 2424, 2041, 2062, 18558, 2055, 1996, 3899, 1012, 2065, 2057, 2079, 2025, 2031, 2151, 6077, 2800, 2012, 2008, 2051, 2008, 2024, 1037, 1523, 2674, 1524, 2005, 2017, 1010, 2057, 3246, 2017, 2097, 2022, 5776, 1998, 3524, 2005, 1996, 2157, 2028, 2000, 2272, 2247, 1010, 1998, 21268, 1010, 2027, 2079, 1012, 2043, 2017, 11092, 1037, 3899, 1010, 2017, 2024, 3223, 2000, 6039, 2041, 2019, 9886, 3206, 2005, 1996, 3899, 1010, 1998, 2191, 2019, 9886, 13445, 1006, 1002, 5539, 2005, 6077, 1020, 2086, 1998, 2058, 1010, 1002, 3998, 2005, 6077, 1017, 1011, 1019, 2086, 1010, 1998, 1002, 8698, 2005, 6077, 1016, 2086, 2214, 2030, 3920, 1012, 1007, 2023, 7408, 2950, 1996, 3899, 1006, 1997, 2607, 1007, 1010, 2039, 1011, 2000, 1011, 3058, 12436, 14693, 9323, 2015, 1010, 15485, 2075, 1006, 2065, 2734, 1007, 1010, 12403, 2100, 2030, 11265, 19901, 1010, 1037, 9127, 1006, 1998, 2823, 1037, 26834, 1998, 2060, 20033, 2005, 1996, 3899, 1012, 1007, 7058, 2540, 22769, 4652, 8082, 1998, 26735, 1013, 16356, 2491, 2003, 3024, 2096, 1996, 3899, 2003, 1999, 2256, 6469, 2729, 1012, 1999, 2070, 3572, 1010, 1996, 3899, 2089, 2031, 17215, 2540, 22769, 13441, 2030, 2060, 2966, 13441, 2008, 2097, 2022, 3264, 2006, 2010, 1013, 2014, 2966, 2433, 1012, 2065, 2017, 4687, 2339, 2057, 5478, 9883, 1529, 23659, 6077, 2003, 2025, 10036, 1012, 2034, 1997, 2035, 1010, 2057, 2442, 3477, 1037, 7408, 2000, 1996, 7713, 2043, 2057, 5343, 1037, 3899, 2013, 2068, 1012, 2055, 3938, 1003, 1997, 10148, 6077, 2031, 2025, 2042, 12403, 20821, 1013, 11265, 19901, 2098, 1010, 2061, 2057, 2442, 3477, 2005, 2008, 1012, 2116, 10148, 6077, 2031, 2042, 15486, 1998, 2031, 2540, 22769, 2015, 1010, 1998, 2442, 13595, 3949, 1006, 2023, 2064, 3465, 5606, 1997, 6363, 1007, 1012, 2057, 2036, 2442, 12436, 14693, 12556, 1998, 2139, 1011, 15485, 2035, 10148, 6077, 1012, 2116, 6077, 2057, 5343, 2024, 1999, 2342, 1997, 2536, 2060, 13441, 2349, 2000, 19046, 1006, 3239, 3471, 1010, 4540, 3471, 1010, 24176, 6386, 1010, 4385, 1012, 1007, 2029, 3465, 2769, 1010, 1998, 29525, 8236, 2191, 2039, 2471, 3938, 1003, 1997, 2256, 5366, 2004, 1037, 2512, 1011, 5618, 1012, 2021, 2228, 2055, 2023, 1024, 2043, 2017, 5343, 1037, 3899, 2013, 2149, 1010, 2017, 2113, 2172, 2062, 2055, 2054, 2017, 2024, 2893, 2084, 2065, 1996, 3899, 2234, 3442, 2013, 1037, 7713, 1012, 1996, 3899, 2003, 2921, 1999, 1037, 6469, 2188, 1010, 1998, 2097, 2031, 2042, 14155, 2004, 2000, 2037, 6180, 1012, 2116, 1997, 1996, 6077, 2024, 2160, 1011, 4738, 1998, 1013, 2030, 27297, 1011, 4738, 1010, 2030, 2092, 2006, 2037, 2126, 2000, 3352, 2061, 1012, 2057, 2064, 2425, 2017, 2065, 1037, 3899, 2003, 2157, 2005, 2017, 1006, 1045, 1012, 1041, 1012, 1010, 2204, 2007, 4268, 1010, 2204, 2007, 2060, 6077, 1010, 2200, 3161, 1010, 4201, 1011, 2067, 1010, 4385, 1012, 1007, 2043, 2009, 3310, 2091, 2000, 2009, 1010, 2116, 11092, 2545, 2024, 13868, 1037, 1002, 4278, 1516, 1002, 6694, 5760, 13578, 2094, 3899, 2007, 2035, 12436, 14693, 9323, 2015, 1010, 4385, 1012, 1010, 1998, 2070, 2731, 999, 2057, 2036, 5466, 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, 1996, 2034, 2461, 1997, 1996, 7097, 7555, 2003, 2043, 7097, 3873, 2003, 2012, 2049, 2087, 4569, 1012, 2045, 2024, 3674, 3873, 2399, 2006, 2296, 2305, 1010, 2007, 2613, 7533, 1998, 3689, 1012, 1996, 8015, 14523, 2039, 1037, 18624, 2013, 1996, 3180, 2161, 1998, 1996, 6393, 4248, 6132, 1012, 2009, 2036, 3310, 2077, 1996, 23088, 1997, 1996, 7555, 2428, 4520, 1999, 1010, 2061, 2087, 2780, 2024, 7965, 1998, 2440, 1997, 2943, 1012, 2045, 1521, 1055, 2074, 2028, 3277, 2005, 26177, 4599, 1024, 1996, 26177, 2024, 2035, 8966, 2039, 1998, 5825, 2188, 1012, 1996, 7097, 7555, 5926, 2125, 3892, 1010, 2021, 2007, 2053, 26177, 1999, 1996, 7555, 1010, 2040, 2323, 26177, 4599, 15138, 2005, 1029, 3873, 2003, 2074, 2062, 4569, 2043, 2017, 2031, 1037, 7117, 2075, 3037, 1012, 14599, 1010, 2045, 1521, 1055, 2145, 2051, 2000, 5376, 2006, 1037, 2316, 4213, 7446, 1998, 4060, 1037, 2047, 2136, 2005, 2029, 2000, 15138, 1012, 2021, 2007, 2385, 2780, 2000, 5454, 2013, 1010, 2017, 2342, 2070, 2393, 1012, 2182, 2024, 2702, 3971, 2017, 2064, 5646, 1037, 2136, 2000, 15138, 2005, 1999, 1996, 2760, 7097, 7555, 1012, 1015, 1012, 2115, 2060, 2136, 2017, 1521, 2128, 2028, 1997, 2216, 4599, 1010, 1996, 2785, 2007, 3975, 14588, 2015, 1012, 2023, 2064, 4148, 2151, 2193, 1997, 3971, 1012, 3383, 2017, 3473, 2039, 1999, 2028, 2103, 2007, 2019, 7097, 2136, 2077, 3048, 2000, 6930, 1012, 2672, 2115, 3008, 3473, 2039, 8295, 1996, 2047, 3933, 13664, 2030, 2017, 2496, 2046, 1037, 2155, 1997, 3280, 1011, 2524, 20835, 14875, 4599, 1012, 1045, 2131, 2009, 1012, 2043, 1045, 2001, 1037, 4845, 1010, 1045, 4669, 1996, 2624, 4560, 12004, 1010, 2119, 2138, 12004, 2024, 12476, 1998, 2138, 1045, 2428, 4669, 2396, 9236, 20868, 4783, 2005, 2070, 3114, 1012, 2442, 2031, 2042, 2010, 8183, 7011, 10412, 1998, 7308, 1012, 2823, 2122, 2477, 2024, 2041, 1997, 2115, 2491, 1024, 1045, 1521, 1049, 2019, 9433, 5470, 2074, 2138, 2026, 2905, 2716, 2067, 2019, 9433, 3933, 2005, 2033, 2013, 1037, 4440, 2000, 2563, 2043, 1045, 2001, 1999, 4732, 2082, 1012, 2823, 2008, 1521, 1055, 2035, 2009, 3138, 1012, 2021, 2065, 2017, 2031, 1037, 2117, 7097, 2136, 2008, 2017, 15138, 2005, 1010, 2115, 3601, 1999, 1996, 7555, 2003, 3733, 1012, 4983, 2008, 2136, 2036, 4771, 1996, 7555, 1010, 2029, 2003, 1996, 2553, 2005, 1996, 16064, 8009, 1997, 5548, 21247, 4599, 1999, 4647, 1012, 3374, 1010, 4364, 1012, 1016, 1012, 1996, 2136, 2007, 2008, 2280, 2064, 12722, 2017, 2066, 2043, 2017, 15138, 2005, 1037, 2136, 1010, 2017, 4982, 2019, 14449, 2000, 1996, 2867, 1998, 2009, 2064, 2022, 2524, 2000, 2156, 2068, 2175, 2000, 2178, 2136, 1012, 2011, 1996, 2051, 1996, 7555, 4897, 2105, 1010, 2017, 2424, 4426, 24867, 2005, 3265, 2867, 2006, 2060, 2780, 1010, 2738, 2084, 1996, 2136, 2993, 1012, 2065, 2017, 2215, 2000, 2175, 2023, 2799, 1010, 2017, 2031, 7167, 1997, 7047, 1012, 1999, 3408, 1997, 3522, 26177, 1010, 2045, 1521, 1055, 2726, 23334, 2243, 2006, 1996, 8912, 2630, 17764, 1010, 2029, 2038, 1996, 2794, 17011, 1997, 13946, 2035, 1996, 2780, 2008, 2134, 1521, 1056, 2215, 2032, 3308, 1012, 2672, 2017, 2323, 2031, 2445, 2039, 1037, 2117, 2461, 4060, 2005, 1996, 9530, 2078, 28103, 2063, 1011, 3045, 2726, 23334, 2243, 1010, 15501, 1029, 2045, 2024, 2060, 7047, 1024, 1996, 7136, 3585, 7307, 2031, 15604, 24829, 14268, 1010, 1996, 2047, 3933, 13664, 2031, 18342, 15159, 1010, 1998, 1996, 8423, 12630, 2031, 13619, 13542, 13351, 1998, 4172, 14753, 5740, 1010, 1998, 2017, 2113, 2129, 2017, 2342, 14753, 5740, 1012, 2017, 2071, 2036, 15138, 2005, 5553, 8238, 13328, 1998, 1996, 12004, 1010, 2130, 2065, 2068, 3045, 1996, 2452, 2023, 2161, 2180, 1521, 1056, 5658, 2019, 3176, 4433, 4060, 2005, 1996, 26177, 2066, 2009, 2052, 2031, 2197, 2161, 1012, 2074, 24867, 2005, 2280, 26177, 2064, 2131, 2017, 2046, 4390, 1010, 2295, 1012, 1996, 20835, 14875, 8945, 14083, 2093, 2280, 26177, 2006, 2037, 9238, 1024, 4575, 17710, 20590, 1010, 4901, 12170, 5937, 3736, 1010, 1998, 4575, 4679, 1012, 2079, 2017, 2428, 2215, 2000, 15138, 2005, 1996, 14875, 1029, 2128, 15222, 8950, 2115, 9804, 1012, 1017, 1012, 1996, 2197, 3010, 2136, 3061, 2123, 1521, 1056, 2079, 2023, 1012, 1037, 2502, 2112, 1997, 2108, 1037, 3010, 3873, 5470, 2003, 22650, 2296, 2060, 3010, 2136, 1012, 6449, 2009, 1024, 2028, 1997, 1996, 7082, 4216, 1997, 14017, 10732, 1999, 3773, 1996, 26177, 3335, 1996, 7555, 2001, 4209, 1996, 10112, 7311, 1998, 10522, 19778, 2036, 4771, 1996, 7555, 1012, 3773, 2178, 3010, 2136, 7570, 2923, 1996, 6156, 2452, 2180, 1521, 1056, 2191, 2017, 2514, 2151, 2488, 1012, 2021, 1010, 2065, 2017, 1521, 2128, 2183, 2000, 15138, 2005, 2178, 3010, 2136, 1010, 2012, 2560, 2191, 2009, 1996, 11093, 9924, 1998, 2025, 1996, 4361, 11035, 21349, 1012, 1018, 1012, 1996, 2087, 3010, 2136, 3100, 1010, 2061, 2009, 1521, 1055, 10021, 2000, 15138, 2005, 2178, 3010, 2136, 2074, 2138, 2027, 1521, 2128, 3010, 1010, 2021, 2065, 2017, 1521, 2128, 2145, 3110, 14314, 1010, 2017, 2071, 15138, 2005, 1996, 2136, 2007, 1996, 2087, 16485, 1012, 2023, 2003, 2145, 3492, 12873, 1010, 2021, 2017, 2071, 2079, 2009, 1012, 2065, 2008, 1521, 1055, 1996, 2126, 2017, 2215, 2000, 2175, 1010, 1996, 7136, 3585, 7307, 2024, 2115, 2136, 1012, 2027, 2024, 7863, 2135, 1996, 2087, 3010, 2136, 1999, 1996, 7555, 1012, 1996, 3585, 7307, 2031, 2385, 16485, 2006, 1996, 9238, 1010, 2176, 3010, 6585, 15755, 1010, 1998, 1037, 3010, 2236, 3208, 1998, 2132, 2873, 1012, 2008, 1521, 1055, 2004, 3010, 2004, 1037, 7808, 2136, 4152, 2023, 2095, 1012, 1019, 1012, 1996, 2334, 4845, 2065, 2017, 1521, 2128, 2183, 2000, 15138, 2005, 1037, 2136, 2241, 2006, 2073, 2049, 2867, 2024, 2013, 1010, 2012, 2560, 2175, 2007, 1996, 2334, 6466, 1012, 2619, 2013, 6930, 2030, 6974, 1999, 4647, 2003, 3497, 2000, 3288, 1996, 6156, 2452, 2067, 2000, 2010, 9627, 2065, 2002, 5222, 1012, 2190, 6655, 2182, 2003, 1996, 12630, 1010, 2040, 2031, 3417, 14434, 1005, 1055, 4575, 13093, 5054, 9358, 4892, 2037, 2327, 2240, 1010, 1998, 2047, 9434, 1521, 1055, 7648, 10722, 18752, 2015, 9358, 4892, 2037, 2117, 2240, 1012, 2008, 1521, 1055, 1037, 5024, 2028, 1011, 2048, 8595, 1012, 2045, 1521, 1055, 2036, 9340, 4063, 8472, 2007, 1996, 12004, 1010, 2295, 2008, 1521, 1055, 1037, 2524, 2245, 2000, 4308, 2005, 3674, 4436, 1012, 2129, 2055, 19094, 1521, 1055, 16994, 10117, 2007, 1996, 7307, 1010, 17710, 8261, 2532, 1521, 1055, 6796, 22378, 2007, 1996, 6278, 18134, 1010, 2030, 3848, 1521, 1055, 19356, 24953, 2007, 1996, 5169, 18846, 1029, 2045, 1521, 1055, 2225, 6930, 1521, 1055, 5253, 15544, 5349, 2100, 2006, 1996, 21349, 1010, 6063, 2314, 1521, 1055, 12049, 21018, 2006, 1996, 2899, 15433, 1010, 1998, 6930, 1521, 1055, 27969, 9004, 2319, 2006, 1996, 9924, 1012, 2017, 1521, 2310, 2288, 2070, 7047, 2182, 1010, 2003, 2054, 1045, 1521, 1049, 3038, 1012, 1020, 1012, 1996, 2190, 2466, 2045, 2024, 7167, 1997, 2204, 3441, 5825, 2046, 1996, 7555, 1010, 2061, 2065, 2017, 2066, 1037, 2204, 7984, 1010, 2017, 1521, 2128, 1999, 6735, 1012, 2017, 2071, 15138, 2005, 4388, 2358, 11057, 2140, 1998, 2010, 14726, 26303, 1010, 4577, 2871, 1009, 3289, 2005, 1996, 2034, 2051, 1999, 3053, 1037, 5476, 1012, 6854, 1010, 2008, 2965, 24867, 2005, 1996, 5135, 3748, 1010, 2029, 2003, 1037, 2512, 1011, 11753, 2005, 2087, 26177, 4599, 1012, 2045, 1521, 1055, 2036, 3533, 14630, 1010, 2040, 2003, 2066, 2019, 9413, 16846, 2480, 7367, 8718, 8178, 11812, 2046, 2028, 2303, 2007, 1037, 5016, 10154, 1012, 2002, 2074, 3849, 2066, 1037, 3124, 2040, 2428, 2323, 2663, 1996, 6156, 2452, 2077, 2002, 11036, 2015, 1012, 1996, 13664, 2031, 4422, 16694, 1010, 2040, 2001, 11441, 2007, 25468, 2012, 1996, 2707, 1997, 1996, 2161, 1010, 1998, 2038, 2209, 2035, 2161, 2096, 14996, 4456, 13441, 1012, 2002, 1521, 1055, 5307, 2010, 2280, 2136, 1010, 1996, 7407, 1010, 1999, 1996, 2034, 2461, 1997, 1996, 7555, 1012, 2009, 1521, 1055, 2524, 2025, 2000, 15138, 2005, 16694, 1012, 1996, 5221, 2466, 1997, 1996, 2095, 1010, 2174, 1010, 2003, 1996, 7136, 3585, 7307, 1010, 2040, 2165, 1037, 2136, 2440, 1997, 3459, 1011, 12446, 1998, 2357, 2068, 2046, 2028, 1997, 1996, 2190, 2780, 1999, 1996, 2223, 1010, 2066, 2070, 4066, 1997, 6373, 3185, 1012, 2065, 2017, 1521, 2128, 2559, 2005, 1037, 2307, 7984, 2008, 2453, 2022, 1999, 1037, 3004, 2379, 2017, 13834, 1010, 2017, 2064, 1521, 1056, 2175, 3308, 2007, 1996, 3585, 7307, 1012, 1021, 1012, 1996, 6493, 6114, 5470, 15058, 26177, 4599, 2113, 6114, 1012, 2027, 1521, 2128, 29024, 5220, 2007, 6114, 1012, 2061, 1010, 2043, 2009, 3310, 2051, 2000, 4060, 1037, 2136, 2000, 15138, 2005, 1999, 1996, 7555, 1010, 2339, 2025, 2175, 2007, 2054, 2017, 2113, 1029, 6854, 1010, 2028, 1997, 1996, 2261, 5470, 15058, 2015, 2008, 2038, 2908, 2936, 2302, 3045, 1996, 6156, 2452, 2084, 1996, 26177, 2003, 1996, 4361, 11035, 21349, 1012, 1057, 5603, 1010, 2053, 4283, 1012, 2612, 1010, 2017, 2071, 2175, 2007, 1996, 11093, 9924, 1010, 2040, 2031, 2196, 2180, 1037, 6156, 2452, 1999, 2037, 2381, 1012, 9924, 4599, 2130, 2439, 2037, 2136, 2005, 2058, 1037, 5476, 1010, 2061, 2027, 1521, 2310, 5791, 4265, 1012, 2004, 2172, 2004, 1045, 2056, 2025, 2000, 15138, 2005, 2178, 3010, 2136, 1010, 1996, 9924, 2031, 1037, 3492, 5024, 2553, 2005, 2115, 2316, 4213, 7446, 8660, 1012, 2060, 7047, 1024, 1996, 12004, 1998, 15433, 1010, 2119, 10392, 2780, 2008, 2031, 2777, 27724, 2075, 2203, 2044, 27724, 2075, 2203, 1999, 1996, 7555, 1012, 1022, 1012, 1996, 2136, 2008, 2038, 1996, 2190, 3382, 2000, 2663, 1045, 2131, 2009, 1024, 2017, 2215, 2000, 15138, 2005, 1037, 3453, 1012, 2009, 1521, 1055, 3305, 3085, 1012, 1996, 2028, 3277, 2007, 24867, 2005, 1996, 1523, 2190, 1524, 2136, 2003, 1996, 8040, 9691, 2017, 2453, 2227, 2013, 2115, 12746, 1012, 2005, 2070, 3114, 1010, 8130, 1996, 1523, 2190, 1524, 2136, 2003, 2464, 2004, 5064, 9467, 3993, 1012, 2065, 2017, 1521, 2128, 2356, 2000, 2171, 2115, 8837, 3455, 2447, 1998, 2017, 2360, 3393, 21337, 2508, 1010, 2111, 2097, 8040, 7245, 1010, 2130, 2295, 2002, 2003, 5791, 1996, 2190, 2447, 1997, 2010, 4245, 1998, 15835, 1997, 2035, 2051, 1012, 1996, 8423, 12630, 2024, 1996, 2759, 4060, 2000, 2663, 2044, 3974, 1999, 1996, 6156, 2452, 2345, 2197, 2161, 1012, 2045, 2024, 7564, 1997, 4436, 2000, 15138, 2005, 1996, 12630, 1024, 2027, 1521, 2128, 11757, 2066, 3085, 1010, 2031, 1996, 2190, 4721, 1999, 3873, 1010, 1998, 2024, 2893, 9788, 3125, 6528, 4667, 2013, 21877, 15714, 15544, 10087, 1012, 7136, 10238, 12088, 2031, 1996, 12630, 2004, 1996, 10238, 1011, 2006, 28271, 1010, 2021, 2017, 2071, 2175, 2007, 2060, 2327, 2780, 1012, 2672, 2017, 2066, 1996, 18134, 2000, 2093, 5051, 4017, 1010, 2030, 1996, 9924, 1521, 5995, 2012, 2830, 1010, 2030, 1996, 3731, 18159, 1012, 1012, 1012, 2053, 1012, 2123, 1521, 1056, 15138, 2005, 1996, 18159, 1012, 1023, 1012, 1996, 2104, 16168, 1996, 2028, 3291, 2007, 8130, 2019, 2104, 16168, 2003, 2008, 2017, 2453, 2025, 2022, 24867, 2005, 2068, 2005, 2200, 2146, 1012, 3071, 7777, 2019, 2104, 16168, 2466, 1010, 2021, 2028, 1997, 1996, 4436, 2057, 2066, 2068, 2061, 2172, 2003, 2138, 2027, 1521, 2128, 4678, 1012, 1996, 3606, 2003, 1010, 1996, 2104, 16168, 2015, 2788, 2131, 10560, 3492, 2220, 2006, 1025, 2027, 1521, 2128, 2104, 16168, 2015, 2005, 1037, 3114, 1012, 1996, 5169, 18846, 2024, 2023, 2095, 1521, 1055, 5221, 2104, 16168, 2015, 1010, 2004, 2027, 4510, 24492, 2046, 1996, 7555, 1010, 4510, 6012, 1996, 2358, 1012, 3434, 5132, 2005, 1996, 2345, 3962, 1999, 1996, 2225, 4283, 2000, 1037, 6801, 12446, 5178, 3319, 1012, 1999, 2755, 1010, 2027, 2736, 1996, 2161, 2007, 8491, 2685, 2084, 1996, 3516, 12915, 1010, 2040, 2134, 1521, 1056, 2191, 1996, 7555, 1999, 1996, 2789, 3034, 1012, 2027, 1521, 2128, 15298, 2104, 16168, 2015, 1010, 2000, 1996, 2391, 2008, 2027, 1521, 2128, 5307, 1996, 28271, 1999, 1996, 2034, 2461, 1010, 1998, 2008, 1521, 1055, 2073, 2023, 2035, 3632, 22091, 2854, 1012, 1996, 12630, 2024, 2763, 2183, 2000, 2373, 2627, 1996, 18846, 1010, 2012, 2029, 2391, 1996, 2316, 4213, 7446, 2097, 2022, 2187, 4704, 2012, 1996, 2217, 1997, 1996, 2346, 1012, 2184, 1012, 1996, 2087, 14036, 2136, 2023, 3849, 2066, 2115, 2190, 6655, 1012, 2017, 1521, 2128, 2025, 2074, 8130, 1996, 2190, 2136, 1010, 2029, 5683, 2066, 16789, 1012, 2612, 1010, 2017, 1521, 2128, 8130, 1996, 2136, 2008, 2097, 2022, 2087, 4569, 2000, 3422, 1012, 1045, 2064, 2131, 2369, 2008, 1012, 3873, 2003, 4569, 999, 1996, 11093, 9924, 1998, 9925, 3016, 7407, 2024, 2048, 1997, 1996, 2087, 10990, 2780, 2000, 3422, 1999, 1996, 7097, 2007, 2037, 2152, 1011, 3909, 18421, 1012, 1996, 7407, 2419, 1996, 7097, 2007, 27200, 3289, 2023, 2161, 1010, 2419, 2011 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1523, 2123, 1521, 1056, 2292, 1037, 2879, 2131, 2010, 2398, 2091, 2115, 6471, 999, 1524, 2008, 2001, 1996, 6698, 1997, 2026, 2880, 3348, 2495, 1010, 1998, 2009, 2234, 2013, 2026, 13055, 2043, 1045, 2001, 1037, 1056, 28394, 2078, 1012, 2016, 4161, 2009, 2512, 18598, 15706, 2004, 2016, 2938, 2012, 2014, 22746, 3698, 2551, 2006, 1037, 2622, 1012, 10303, 2100, 2059, 1010, 4283, 2005, 2008, 1012, 2026, 3008, 2020, 4333, 2006, 1996, 3395, 1012, 1045, 4342, 2055, 2026, 2558, 2013, 1037, 1523, 2919, 1524, 2611, 2012, 2690, 2082, 2040, 2234, 1999, 1996, 5723, 2096, 1045, 2001, 1999, 2045, 1998, 6603, 2054, 1999, 1996, 17752, 2001, 2183, 2006, 2007, 2026, 2303, 1012, 1045, 2018, 2657, 2673, 20246, 2000, 3348, 2001, 27505, 1998, 2919, 2013, 2026, 8050, 2923, 1011, 2175, 1011, 2000, 1011, 2277, 1011, 2296, 1011, 2051, 1011, 1996, 1011, 4303, 1011, 2020, 1011, 2330, 3412, 24615, 1012, 12120, 14154, 4168, 1010, 5292, 20927, 12519, 1010, 15429, 3126, 23757, 1010, 1998, 2026, 4470, 1521, 1055, 22555, 1038, 4135, 25918, 6876, 1998, 7298, 2020, 2026, 2190, 1523, 11982, 1524, 5089, 1012, 2748, 1010, 2017, 3191, 2008, 6149, 1012, 2175, 3805, 1998, 15375, 1010, 2009, 1521, 1055, 3100, 1012, 2021, 2182, 1521, 1055, 1996, 2518, 1010, 2054, 1045, 2245, 2001, 9202, 1998, 2054, 1045, 2245, 2001, 5760, 1998, 2157, 2020, 2035, 3816, 2039, 1998, 7463, 2362, 1010, 1045, 2481, 1521, 1056, 3584, 2009, 2041, 1010, 1998, 2009, 2001, 2592, 2058, 11066, 2013, 2035, 1996, 1523, 3308, 1524, 3182, 1012, 2672, 1010, 2672, 2025, 1012, 1045, 4687, 2823, 2040, 1045, 2052, 2031, 4961, 2039, 2000, 2022, 2018, 1045, 2025, 2018, 2107, 1037, 4389, 2053, 9232, 2105, 2026, 3300, 2013, 1996, 18433, 3226, 7468, 2091, 2026, 3759, 2013, 2154, 2028, 1012, 1996, 2754, 2001, 2275, 2200, 2220, 2006, 2005, 3348, 1998, 9467, 2000, 2022, 22594, 1998, 5799, 20868, 2890, 6767, 3540, 6321, 2362, 1012, 2026, 3008, 2196, 3662, 3558, 12242, 2875, 2028, 2178, 1999, 2026, 3739, 1010, 1998, 19597, 2134, 1521, 1056, 2552, 2066, 2027, 2428, 4669, 2028, 2178, 2035, 2008, 2172, 1010, 2000, 3917, 5844, 2001, 2062, 2066, 2009, 1012, 2026, 2269, 2001, 2200, 27246, 1010, 1998, 1045, 2001, 7968, 2000, 2196, 3357, 2041, 1997, 2240, 1010, 2030, 2842, 1012, 21470, 2081, 9467, 4788, 1010, 2767, 9040, 11515, 2009, 1010, 2059, 2383, 2026, 9220, 2215, 2000, 2022, 2062, 2084, 2814, 18311, 2009, 2004, 1037, 3510, 1997, 9467, 1998, 7499, 2008, 2052, 2197, 2026, 2972, 4639, 2166, 1010, 2127, 2085, 1010, 2138, 11504, 2057, 2024, 2006, 1996, 16079, 1997, 2172, 2734, 8179, 1010, 9467, 1998, 1045, 1012, 2748, 1010, 2017, 2657, 2008, 2157, 1012, 2006, 1037, 3455, 2457, 1999, 3290, 1010, 2006, 1037, 3260, 4440, 1010, 1045, 2001, 5411, 1998, 2356, 2055, 2108, 2062, 2084, 2814, 1012, 2007, 2026, 9220, 1012, 2040, 2001, 2496, 1012, 3005, 2336, 1045, 2018, 2042, 3336, 28032, 3436, 1012, 2040, 2018, 2042, 9220, 2075, 2026, 2783, 6898, 1998, 2010, 2155, 2087, 1997, 2010, 2166, 1012, 2005, 2195, 2086, 1010, 2023, 6905, 1997, 2373, 1998, 2597, 2001, 6230, 1012, 1045, 3062, 2005, 2009, 8103, 1010, 2240, 1010, 1998, 7752, 2121, 1012, 1045, 25155, 1996, 12242, 1998, 1996, 2293, 1012, 2004, 1996, 2706, 1998, 2086, 2979, 2002, 8542, 2046, 2033, 14868, 2054, 2002, 2387, 1045, 2001, 11158, 1012, 1045, 2387, 1999, 2032, 2054, 1045, 2245, 1045, 2359, 1999, 1037, 18591, 2070, 2154, 1010, 1037, 2155, 1997, 2026, 2219, 1010, 2012, 2335, 1045, 2387, 1996, 2785, 1997, 3611, 1045, 2018, 2467, 2245, 1045, 2734, 1010, 2060, 2335, 1045, 2387, 2054, 1045, 2359, 1999, 1037, 4256, 1012, 1045, 2018, 2053, 2028, 13053, 2046, 2033, 1998, 2002, 3706, 2039, 2000, 1996, 5127, 1012, 1045, 2001, 18025, 1998, 2002, 2387, 2008, 1012, 2026, 3008, 2018, 9196, 2074, 2077, 2057, 2333, 2000, 1996, 2181, 2007, 2026, 3566, 1010, 1045, 2001, 28515, 2013, 1996, 3431, 1010, 1998, 1045, 2001, 1999, 1996, 2690, 1997, 26836, 9905, 4747, 1998, 2035, 2008, 3632, 2247, 2007, 2008, 1012, 1996, 6832, 6771, 2211, 2200, 2220, 2006, 1998, 2855, 1012, 1045, 2354, 2256, 4434, 2001, 3308, 1998, 6639, 10126, 1010, 2021, 2481, 1521, 1056, 2644, 2870, 2013, 2108, 2920, 2007, 2032, 2009, 2790, 1012, 1045, 3342, 10261, 2619, 2842, 2387, 2054, 2001, 6230, 1998, 5327, 2027, 2052, 2272, 2831, 2000, 2033, 1010, 2000, 2149, 1010, 2008, 2619, 2052, 2191, 2009, 2035, 2644, 1010, 2191, 2149, 2644, 1012, 2477, 2018, 5357, 4237, 2007, 1996, 6898, 1045, 2245, 1045, 2001, 2183, 2000, 5914, 1010, 2002, 2001, 14868, 1998, 12064, 2135, 4895, 20192, 24658, 2100, 1998, 22105, 1010, 2057, 2018, 3714, 2039, 1010, 1998, 2023, 9220, 2018, 3024, 2172, 2734, 2490, 2076, 2035, 1997, 2008, 6752, 2205, 1012, 2112, 1997, 2033, 2359, 2000, 21063, 2007, 2026, 2214, 6898, 1010, 2000, 2191, 2477, 2157, 2045, 1010, 2002, 2001, 1996, 14286, 11701, 2028, 1045, 2071, 2022, 2007, 4312, 1010, 2009, 2876, 1521, 1056, 2022, 2061, 9200, 2007, 2032, 1012, 1998, 7543, 2002, 2052, 4982, 2041, 1997, 1996, 26838, 1010, 3480, 3993, 4933, 2157, 1029, 1045, 2106, 3046, 2000, 8983, 2477, 2039, 1037, 2978, 2007, 2032, 1998, 5342, 1996, 1523, 6771, 1524, 1012, 1996, 9220, 1998, 1045, 2018, 5113, 2057, 2071, 3432, 11010, 2009, 1998, 2644, 1998, 11501, 2063, 2052, 2412, 2113, 1012, 2061, 2057, 2699, 2008, 1010, 2664, 1996, 6832, 6771, 2506, 1012, 1996, 2086, 16943, 1999, 1037, 2460, 4424, 3276, 9879, 2069, 1037, 2261, 3134, 2379, 1996, 2203, 1997, 2009, 2035, 1012, 1996, 12547, 2617, 2234, 2043, 2002, 8271, 2039, 2028, 2851, 1998, 2787, 2002, 2001, 4129, 1996, 2277, 1998, 2010, 2564, 1010, 2021, 2002, 2359, 2000, 2113, 2065, 2010, 2564, 2876, 1521, 1056, 2031, 2032, 4902, 2065, 1045, 2052, 2031, 2032, 1012, 1045, 2018, 2042, 2542, 1999, 1037, 8102, 4545, 1997, 2037, 2188, 2005, 1037, 2261, 2706, 1010, 2061, 2002, 2074, 2234, 10025, 1998, 2081, 1996, 2166, 22552, 4013, 3630, 17457, 3672, 1010, 1045, 2056, 2748, 1998, 3062, 2000, 1996, 2598, 1012, 2002, 2187, 2033, 2045, 2000, 3336, 28032, 1998, 2196, 2234, 2067, 1012, 2048, 13376, 2013, 2277, 3662, 2039, 2012, 1996, 2341, 2195, 2847, 2101, 4129, 2033, 2027, 2354, 2673, 1010, 1998, 2008, 1045, 2734, 2000, 5308, 2026, 2477, 1998, 2681, 1012, 2026, 2540, 3062, 2000, 1996, 10247, 1997, 2026, 10393, 1010, 1045, 2371, 12056, 1998, 8892, 2503, 1012, 1996, 2919, 2028, 2018, 2042, 2179, 2041, 1010, 1045, 2001, 1996, 4099, 1012, 1996, 1523, 1037, 1524, 2006, 2026, 6130, 5296, 2046, 2026, 3096, 1012, 2027, 2356, 2033, 2000, 5308, 2026, 8641, 1998, 2681, 1010, 2008, 1996, 9220, 1998, 2010, 2564, 2020, 3403, 2091, 1996, 2346, 2000, 2272, 2188, 1010, 2021, 1045, 2734, 2000, 2022, 2908, 2034, 1012, 1045, 2481, 1521, 1056, 2130, 2360, 9119, 2000, 1996, 3080, 2775, 1010, 2016, 2001, 2185, 2012, 3409, 1012, 1045, 2001, 2061, 2540, 29162, 2004, 1045, 8966, 2026, 2477, 1998, 10308, 1996, 2048, 2402, 3337, 1012, 1999, 1996, 2206, 2733, 1045, 2777, 2007, 1996, 2604, 1997, 13376, 2012, 1996, 2277, 1012, 1045, 2001, 2409, 2008, 2619, 2018, 2000, 2681, 1010, 2025, 3071, 2071, 2994, 1010, 1998, 2027, 2018, 2787, 2008, 2144, 1996, 9220, 2018, 2042, 2007, 2068, 3157, 2086, 1010, 2002, 2734, 2000, 2994, 1010, 1998, 1045, 2018, 2000, 2681, 1012, 1045, 2001, 3615, 2000, 1037, 17220, 2073, 1996, 2277, 2001, 7079, 2005, 2809, 6521, 1010, 1998, 1045, 2001, 2409, 1045, 2071, 2025, 2272, 2067, 2000, 1996, 2277, 1012, 1996, 9220, 5295, 2008, 2206, 4465, 1010, 10324, 2010, 8254, 1997, 1523, 29169, 1524, 2021, 2025, 10324, 2033, 1010, 2021, 3071, 2354, 2009, 2001, 2033, 1012, 1045, 2001, 2464, 2012, 1037, 2334, 3185, 4258, 2011, 1037, 2266, 1997, 1996, 2277, 1045, 2018, 2042, 7463, 2041, 1997, 1010, 1045, 2001, 2170, 1037, 17219, 2041, 5189, 1999, 1996, 2392, 9568, 1012, 1045, 2001, 1996, 2060, 2450, 1010, 1996, 2028, 2040, 7771, 2007, 1996, 9220, 1998, 2471, 3631, 2039, 2037, 2155, 1010, 1996, 2028, 2040, 3303, 2037, 11419, 9220, 1997, 3157, 2086, 2000, 12897, 1012, 2002, 4370, 1999, 1996, 7769, 2005, 2178, 2095, 2030, 2061, 1998, 2059, 2333, 2408, 2406, 2000, 9220, 2178, 2277, 1010, 2028, 2002, 2003, 2145, 9220, 2075, 2000, 2023, 2154, 1010, 2484, 2086, 2101, 1012, 20254, 3971, 2001, 4654, 26775, 14194, 15370, 1010, 1996, 12039, 1998, 8056, 8823, 2033, 4142, 1012, 6245, 2234, 2046, 1996, 3861, 1010, 2025, 11341, 1010, 2664, 16880, 1999, 2009, 1521, 1055, 18101, 2791, 1012, 1045, 2018, 1037, 5835, 1997, 5939, 7770, 4747, 8542, 2041, 2046, 2026, 2398, 1010, 1037, 3137, 1997, 15345, 2008, 1045, 2471, 7351, 1012, 5064, 1045, 2246, 2046, 1996, 5723, 5259, 1998, 2046, 2026, 2159, 1998, 1045, 2481, 1521, 1056, 2175, 2083, 2007, 2009, 1012, 2085, 1045, 2156, 2045, 2001, 2178, 8391, 1997, 4507, 2183, 2006, 2008, 1045, 2134, 1521, 1056, 6807, 2059, 1012, 1045, 5382, 2085, 2008, 2057, 2196, 2428, 2768, 2006, 5020, 2598, 1010, 2008, 2009, 2428, 2347, 1521, 1056, 2019, 6771, 2004, 1045, 2018, 2467, 2245, 1012, 2057, 2020, 2025, 2119, 6001, 8053, 9619, 2075, 2000, 8526, 1999, 1037, 4424, 6771, 1012, 1045, 2031, 2973, 2104, 1996, 10514, 4246, 27483, 14021, 21332, 1997, 9467, 2005, 2484, 2086, 2085, 1010, 2431, 1997, 2026, 2972, 2166, 1010, 1998, 2035, 1997, 2026, 4639, 2166, 1012, 1045, 2245, 1045, 2001, 2109, 5350, 1998, 2071, 2025, 2022, 2109, 1999, 3757, 1998, 2008, 2026, 9592, 1997, 4531, 1996, 2785, 1997, 3129, 1045, 5113, 2005, 2020, 4821, 2908, 2005, 2204, 1012, 1045, 2031, 2467, 2042, 5845, 2004, 2295, 1045, 2001, 2062, 2000, 7499, 1010, 2008, 1045, 5064, 2442, 2031, 23199, 2094, 2032, 1998, 2018, 3488, 2000, 10083, 2010, 2155, 1998, 2010, 2166, 1010, 2004, 2295, 1999, 1996, 4251, 1997, 1996, 2305, 1045, 5679, 2094, 2055, 2129, 2000, 10083, 2032, 1012, 2053, 2028, 2409, 2033, 2127, 2074, 1037, 3232, 2086, 3283, 1010, 2538, 2086, 2044, 1996, 1523, 3276, 1524, 1010, 2008, 2054, 3047, 2000, 2033, 2001, 2428, 11646, 23337, 1010, 11646, 6905, 1010, 11646, 4424, 6905, 1012, 2127, 2633, 2619, 2170, 2009, 2054, 2009, 2001, 1012, 2619, 2056, 1010, 2023, 2347, 1521, 1056, 2054, 2017, 2031, 2245, 2009, 2001, 2035, 2115, 2166, 1012, 2079, 2017, 2156, 2129, 2009, 2003, 2025, 2130, 5621, 9530, 5054, 6342, 2389, 2043, 1996, 9539, 1997, 3691, 2024, 2061, 16668, 2041, 1997, 26351, 1029, 3071, 3492, 2172, 5845, 2033, 2004, 1996, 19424, 2060, 2450, 2040, 2515, 2025, 2113, 2129, 2000, 2552, 2105, 2496, 2273, 1010, 1998, 2619, 2000, 2467, 2022, 10027, 1997, 1012, 2026, 2466, 2038, 2042, 2109, 2114, 2033, 2012, 2335, 1012, 1045, 2031, 2042, 5496, 2073, 2045, 2001, 2053, 6346, 1010, 6878, 2043, 2045, 2001, 2498, 2021, 12660, 1010, 2018, 2026, 16718, 1998, 11109, 8781, 2138, 1997, 2026, 2381, 1012, 2339, 2003, 2009, 2008, 2009, 2003, 1045, 2040, 2038, 2790, 2000, 3477, 1996, 9561, 4355, 3976, 2005, 2054, 3047, 1029, 1045, 2064, 1521, 1056, 6235, 2129, 2784, 1996, 9467, 4046, 6289, 11614, 2043, 1045, 2001, 5496, 1997, 7367, 8566, 6129, 2026, 9220, 1010, 2667, 2000, 3338, 2039, 1037, 3510, 1010, 1998, 5800, 2075, 2026, 2155, 5891, 1010, 2108, 6476, 2041, 1997, 1996, 2277, 1010, 2383, 1996, 1523, 6771, 1524, 2109, 2114, 2033, 2101, 1010, 3241, 1045, 2018, 9868, 2026, 9592, 1997, 3017, 3757, 1998, 1037, 2643, 2135, 3129, 4647, 1997, 1996, 1523, 6771, 1524, 1012, 1045, 5256, 2039, 1999, 1996, 16956, 2823, 1998, 1999, 2008, 14819, 11467, 4757, 2077, 2893, 2039, 1045, 5293, 2008, 2026, 2166, 2038, 2042, 4417, 2007, 9467, 1012, 2005, 1037, 13670, 3993, 2261, 5312, 1999, 1996, 12660, 1997, 12447, 1045, 2411, 5293, 1012, 1045, 4299, 2026, 2166, 2106, 2025, 2031, 1996, 2466, 2008, 2009, 2515, 1010, 2008, 2026, 2381, 2001, 2025, 2061, 24563, 2007, 7258, 1045, 2215, 2000, 2304, 2041, 2007, 1037, 4568, 12115, 1012, 2021, 2057, 2035, 2113, 2166, 2987, 1521, 1056, 2147, 2008, 2126, 1010, 2045, 2003, 2053, 2613, 2126, 2000, 2892, 2041, 1996, 4933, 2057, 2123, 1521, 1056, 2066, 1010, 2009, 3685, 2022, 23516, 1012, 1045, 2572, 4083, 2295, 2008, 9467, 2515, 2025, 2031, 2000, 2022, 2026, 5377, 7452, 1010, 2008, 1045, 2064, 5454, 2000, 2022, 2006, 1996, 2197, 5001, 1997, 9467, 1999, 2026, 2166, 1998, 2028, 2154, 1045, 2064, 2448, 2408, 1996, 3926, 2240, 1997, 2008, 6659, 9200, 2679, 1045, 3133, 2046, 1012, 1045, 2572, 4083, 2205, 2008, 2054, 3047, 2000, 2033, 2001, 2025, 5621, 2004, 1045, 2245, 2009, 2000, 2022, 2012, 1996, 2051, 1012, 2008, 2009, 2347, 1521, 1056, 2941, 2242, 1045, 2097, 7699, 2772, 2039, 2005, 1998, 4209, 2135, 2939, 2046, 2007, 1037, 2489, 1998, 6727, 3247, 1012, 2005, 2035, 2122, 2086, 1045, 2031, 2042, 2081, 2000, 4562, 1996, 7987, 16671, 1997, 2054, 4158, 1012, 3071, 6760, 2000, 9239 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1006, 2035, 3898, 19566, 2024, 1996, 3200, 1997, 2088, 4843, 4024, 1007, 2238, 2322, 1010, 2826, 4684, 8388, 2415, 11382, 2361, 20068, 2003, 2053, 2936, 1999, 3715, 1997, 24215, 1012, 1996, 6769, 12706, 3373, 2002, 2001, 5938, 2205, 2172, 2769, 1010, 2061, 2027, 2716, 1999, 2619, 2000, 3013, 5366, 1998, 2191, 1996, 4072, 3431, 2000, 2735, 24215, 2046, 1037, 15282, 2194, 1012, 1996, 2158, 2027, 4900, 2001, 11762, 3021, 11042, 1010, 2040, 2018, 2448, 1996, 3054, 1011, 2148, 1013, 1057, 2860, 2546, 3700, 2005, 2086, 1012, 2002, 2001, 2124, 2005, 2108, 1037, 2204, 16674, 1998, 2383, 1037, 2843, 1997, 3151, 5328, 2006, 4843, 1010, 2021, 1996, 2449, 2018, 2904, 3243, 1037, 2843, 2144, 2010, 2051, 1012, 11042, 3202, 2211, 2437, 3431, 2000, 1996, 4031, 1012, 2002, 3718, 1996, 9474, 22281, 2013, 2648, 1997, 1996, 3614, 2138, 2002, 2245, 2009, 2081, 2037, 14039, 2298, 7823, 2121, 1012, 2035, 2023, 4594, 1999, 2725, 2001, 2877, 2000, 14203, 6441, 1012, 2002, 7917, 5829, 2125, 1996, 2327, 8164, 2138, 2002, 2234, 2013, 1037, 2051, 2073, 2008, 2001, 1037, 8695, 7559, 18718, 12073, 2693, 2008, 2001, 3214, 2000, 1999, 25243, 1037, 2711, 1012, 2002, 2245, 2023, 2052, 2404, 3684, 2006, 1996, 8265, 2005, 7161, 2242, 6206, 1012, 1996, 3291, 2003, 1010, 2152, 1011, 3909, 5829, 2020, 2085, 2759, 1998, 1996, 2152, 1011, 13109, 10136, 2020, 4050, 3336, 12172, 2015, 1012, 2002, 2036, 7528, 3513, 2369, 1996, 5019, 1010, 2107, 2004, 2025, 5599, 14039, 2681, 2127, 1996, 2345, 2674, 2001, 2736, 1012, 2008, 3627, 1010, 1999, 3327, 1010, 2106, 1037, 2843, 2000, 3480, 19292, 1012, 2174, 1010, 2025, 2035, 1997, 2010, 3431, 2020, 2919, 1012, 2002, 2001, 2204, 2012, 2635, 1037, 2053, 1011, 14652, 3921, 2000, 1996, 3065, 1998, 2001, 2204, 2007, 13717, 1012, 3015, 2694, 2001, 2028, 2518, 2002, 2001, 2124, 2005, 2725, 2092, 1012, 1045, 2097, 6848, 2070, 2062, 1997, 11042, 4784, 1998, 3431, 2004, 2057, 5082, 2083, 2023, 3319, 1010, 2021, 2009, 1521, 1055, 3647, 2000, 2360, 1996, 11042, 3690, 2001, 1037, 6881, 4666, 1997, 5024, 3015, 1010, 2021, 25963, 4784, 1012, 1996, 2265, 7480, 2007, 1037, 2678, 1997, 2111, 3788, 2006, 2019, 6579, 3509, 1998, 5975, 12894, 1012, 1037, 11185, 7566, 2055, 1996, 3503, 1998, 4455, 1996, 2194, 1010, 1523, 12931, 1011, 8038, 2156, 12931, 1011, 8038, 1012, 1524, 1006, 1045, 2156, 2073, 12159, 4152, 2009, 1012, 1007, 1996, 2678, 2003, 10036, 1011, 2559, 1998, 1996, 2674, 8389, 3711, 2000, 2022, 2517, 1999, 13675, 28852, 2078, 1012, 1006, 1045, 3984, 11042, 3013, 5366, 1999, 1996, 8389, 2533, 1012, 1007, 2059, 1010, 4116, 8040, 12995, 17789, 2063, 6160, 2015, 3071, 2000, 1996, 2265, 1012, 2002, 1998, 4388, 20377, 9905, 4246, 2024, 5102, 1999, 2037, 10017, 2621, 4253, 1012, 4388, 2003, 3391, 5189, 1999, 2010, 12188, 3797, 1012, 2027, 6160, 3021, 11042, 2000, 1996, 2754, 1998, 2002, 7566, 2055, 7823, 7576, 1998, 7823, 3513, 1012, 2002, 2036, 17472, 2008, 2703, 1041, 1012, 1998, 5506, 10383, 2097, 2022, 7917, 2013, 7635, 5178, 2005, 1996, 3707, 2158, 2674, 1012, 2633, 1010, 2002, 2758, 2008, 3071, 2038, 3530, 2000, 2037, 2358, 11514, 9513, 2015, 2005, 1996, 2305, 1010, 2061, 8103, 1520, 7861, 2039, 1998, 5926, 2009, 2125, 999, 2279, 1010, 2027, 2175, 2000, 3958, 5811, 1010, 2040, 2003, 2036, 4147, 1037, 12188, 3797, 1012, 1006, 1045, 3984, 2009, 1521, 1055, 2488, 2084, 1037, 2000, 3654, 1012, 1007, 2002, 1521, 1055, 2894, 2138, 7627, 21151, 2003, 2205, 5697, 2893, 1037, 21881, 2006, 1996, 3509, 1517, 2030, 1010, 2323, 1045, 2360, 1010, 1996, 3509, 2275, 1999, 1996, 4211, 1012, 7627, 11206, 3727, 1996, 20345, 1011, 13681, 2308, 1998, 9794, 5811, 1012, 21151, 2003, 4147, 1037, 4951, 1011, 2327, 1998, 1037, 18982, 1012, 1006, 1045, 1521, 1049, 2469, 12159, 17741, 2052, 2031, 1037, 2204, 4756, 2065, 2002, 2387, 2032, 1012, 1007, 2422, 8366, 2516, 2674, 1024, 3660, 2100, 19091, 2080, 5443, 1012, 4875, 2378, 1521, 4422, 1006, 1039, 1007, 2112, 1997, 3021, 11042, 1521, 3465, 1011, 6276, 3214, 2383, 2000, 2896, 1996, 3477, 1997, 2070, 1997, 1996, 14039, 1012, 4422, 17357, 2386, 2001, 2053, 7985, 2000, 2023, 2689, 1012, 11042, 2359, 2000, 21040, 5547, 2010, 10300, 1010, 2021, 17357, 2386, 28352, 8126, 1012, 11042, 2059, 5561, 2000, 2338, 2032, 2000, 4558, 2035, 2010, 3503, 1010, 2061, 17357, 2386, 2056, 2002, 2052, 2468, 1996, 3284, 3825, 3105, 5677, 1999, 24215, 1012, 2009, 2347, 1521, 1056, 2919, 2438, 2008, 1996, 2047, 3513, 2020, 17666, 7999, 1996, 2422, 8366, 2407, 1010, 2085, 2002, 2001, 2437, 2625, 2769, 2205, 1012, 2017, 2064, 2156, 1996, 9135, 2006, 17357, 2386, 1521, 1055, 2227, 2076, 2023, 2674, 1012, 19091, 2080, 7906, 12964, 3722, 5829, 1010, 2000, 4088, 2007, 2066, 2002, 2180, 2070, 2502, 3377, 1010, 2021, 17357, 2386, 7906, 11341, 2032, 2007, 4324, 1012, 2059, 1010, 4422, 3632, 2044, 3660, 2100, 1521, 1055, 2849, 1012, 19091, 2080, 5363, 2296, 2460, 12690, 2002, 2064, 2000, 2644, 1996, 2886, 1010, 2021, 17357, 2386, 12237, 2006, 1996, 2849, 2005, 1037, 2096, 1012, 2027, 2954, 2000, 1996, 2723, 1998, 4422, 4978, 2019, 12946, 11774, 2571, 2125, 1996, 20376, 1010, 2021, 1996, 25416, 2038, 2000, 11582, 2032, 2025, 2000, 2079, 2505, 2125, 1996, 2327, 8164, 1012, 19091, 2080, 2633, 3138, 2491, 2011, 6016, 17357, 2386, 2000, 1996, 2723, 1998, 7294, 1037, 27076, 19040, 2892, 2303, 1012, 2002, 2059, 11651, 2091, 17357, 2386, 2007, 4324, 1998, 6181, 1011, 9326, 1010, 2004, 2092, 2004, 2070, 18329, 1998, 3239, 1011, 10958, 6834, 1012, 2776, 1010, 17357, 2386, 4530, 29493, 5705, 3660, 2100, 2041, 1997, 1996, 2250, 2006, 1037, 2117, 1011, 8164, 12946, 11774, 2571, 1998, 4978, 1037, 9419, 5217, 5926, 1012, 2174, 1010, 19091, 2080, 11269, 2032, 1999, 1037, 4204, 10278, 2006, 1037, 3715, 1012, 4422, 15187, 16342, 1010, 2061, 3660, 2100, 14308, 2015, 2032, 1998, 21566, 1999, 1996, 3420, 1010, 2069, 2005, 17357, 2386, 2000, 2718, 1037, 2117, 1011, 8164, 2067, 10514, 19386, 1012, 3660, 2100, 4152, 1037, 3329, 2006, 1996, 8164, 1010, 2061, 2027, 2954, 2000, 1996, 13276, 1998, 17357, 2386, 3632, 2005, 1037, 2327, 2063, 1010, 2021, 2002, 22182, 1998, 4915, 2227, 1011, 2034, 1012, 19091, 2080, 10255, 2032, 2067, 2046, 1996, 3614, 1998, 4978, 1037, 5410, 1011, 2559, 3909, 6181, 2005, 1996, 2663, 1012, 2023, 2674, 2196, 2288, 2041, 1997, 2034, 6718, 1012, 2009, 2001, 4030, 1998, 2009, 7944, 1012, 2017, 2064, 2425, 2008, 1996, 3513, 2055, 2327, 8164, 5829, 17666, 6850, 2023, 2674, 1012, 1996, 2422, 8366, 2407, 2003, 2028, 1997, 1996, 5221, 5694, 1997, 11042, 1521, 3431, 1012, 2009, 2036, 2134, 1521, 1056, 2393, 2008, 1996, 3926, 2001, 11757, 5410, 1012, 1045, 3984, 2023, 2003, 3279, 2193, 2028, 2005, 1996, 3284, 3825, 3105, 5677, 1999, 24215, 1012, 3453, 1024, 3660, 2100, 19091, 2080, 1006, 2047, 3410, 1007, 1006, 2459, 1024, 2756, 1007, 3958, 5811, 2059, 7566, 2055, 2129, 5206, 1038, 1012, 2919, 2094, 2097, 3677, 1037, 20345, 2971, 2090, 5506, 10383, 1998, 25019, 1044, 26139, 2102, 1010, 2029, 5754, 27153, 21151, 1012, 2002, 2758, 2002, 2323, 2031, 4354, 1998, 2919, 2094, 2003, 2062, 10897, 2005, 2108, 1037, 12692, 1999, 2009, 1012, 1006, 2339, 2052, 2002, 2215, 2000, 2156, 2008, 999, 1029, 1007, 5206, 3084, 2010, 4211, 2000, 1037, 11519, 4668, 1010, 2096, 5811, 2758, 2008, 4599, 2064, 3789, 2006, 1996, 20345, 5049, 2478, 1996, 2980, 4179, 1012, 21151, 3980, 3251, 2030, 2025, 2919, 2094, 7777, 3057, 1998, 5811, 2515, 2010, 2190, 2000, 6293, 2039, 2005, 5206, 1010, 2021, 1045, 1521, 1049, 2025, 2469, 2010, 2540, 2003, 1999, 2009, 1012, 5206, 2059, 4455, 2370, 1037, 2919, 2158, 1998, 5176, 1996, 4599, 2065, 2027, 1521, 2128, 3201, 2005, 1996, 4602, 20345, 5049, 1997, 2035, 2335, 1012, 1006, 2335, 1029, 2003, 2023, 2635, 2173, 2408, 3674, 17060, 2015, 1029, 1007, 2002, 2758, 2008, 1996, 2034, 2461, 2097, 2022, 2019, 3944, 11739, 2971, 1010, 1996, 2117, 2461, 2097, 2022, 17573, 11072, 1010, 1998, 1996, 2345, 2461, 2097, 2022, 2019, 2049, 2100, 1011, 9017, 2100, 1010, 9458, 2100, 1011, 16776, 4890, 1010, 20345, 1012, 2919, 2094, 2003, 1999, 2440, 2210, 2957, 5549, 1998, 1045, 1521, 1049, 4527, 2002, 2134, 1521, 1056, 2131, 12923, 2005, 2009, 1012, 2059, 1010, 2919, 2094, 2758, 1996, 4599, 2064, 3789, 2006, 1996, 2980, 4179, 1010, 2021, 1996, 4306, 2097, 5630, 1996, 3453, 1012, 1006, 2059, 1010, 2054, 1521, 1055, 1996, 2391, 1997, 1996, 3042, 3789, 1029, 1007, 1996, 3944, 11739, 4664, 4269, 1998, 25019, 19391, 2013, 2014, 9311, 1999, 1037, 10353, 3238, 2317, 11739, 1012, 2016, 4152, 3492, 2204, 21250, 1998, 2016, 3504, 3243, 3835, 1012, 5506, 10383, 3310, 2041, 2279, 1999, 1037, 5030, 11739, 1998, 15562, 1012, 2016, 2038, 10529, 1999, 2014, 2192, 1010, 2008, 2016, 2512, 18598, 15706, 10055, 2229, 2012, 1996, 4306, 1012, 2016, 2059, 26822, 2891, 1996, 4950, 2185, 1998, 13695, 2014, 15562, 2000, 2507, 5206, 1996, 27136, 1011, 3239, 2043, 2002, 4455, 2014, 3376, 1012, 1006, 1045, 2131, 1996, 3110, 5506, 10383, 2052, 2738, 2022, 4843, 2084, 2725, 2023, 1012, 1007, 1046, 1012, 1054, 1012, 13354, 2015, 1996, 2980, 4179, 2153, 1998, 4136, 4268, 2000, 2131, 2037, 3008, 1521, 6656, 2034, 2077, 4214, 1012, 1006, 2009, 1521, 1055, 1037, 2210, 6881, 2000, 3198, 2336, 2000, 3789, 2006, 1037, 20345, 5049, 1012, 1007, 2002, 2036, 13354, 2015, 1996, 2307, 2137, 24234, 2077, 6016, 2009, 2067, 2000, 4116, 1998, 4388, 1012, 2027, 2831, 2055, 1996, 2279, 2674, 1998, 4116, 2758, 2008, 6902, 13672, 2363, 1996, 3145, 2000, 1996, 2103, 1997, 4206, 23278, 29522, 3041, 2008, 2154, 1012, 1006, 2129, 2485, 2003, 2008, 2000, 4684, 1029, 2027, 2018, 3532, 6902, 2770, 2035, 2058, 1996, 2173, 999, 1007, 6902, 13672, 5443, 1012, 1996, 4202, 2081, 2158, 2028, 2518, 2008, 11042, 2001, 2467, 2204, 2055, 2003, 7694, 3060, 1011, 2137, 14039, 1012, 1006, 2008, 1521, 1055, 19313, 1010, 6195, 2129, 11042, 12386, 2010, 3105, 1012, 1007, 24215, 2018, 2525, 2042, 27696, 6902, 13672, 1010, 2021, 11042, 2001, 2055, 2000, 2202, 2009, 2000, 2178, 2504, 1012, 2023, 2674, 2003, 1037, 2126, 1997, 2311, 2000, 2008, 1012, 2076, 1996, 18084, 1010, 21151, 12934, 2015, 5811, 1010, 8040, 12995, 17789, 2063, 1010, 1998, 20377, 9905, 4246, 2005, 2037, 12188, 11344, 1010, 2021, 5811, 26663, 1996, 15301, 1012, 7627, 2059, 12934, 2015, 1996, 2801, 1997, 2893, 1037, 3145, 2000, 1996, 2103, 1012, 5811, 5363, 2000, 4863, 2009, 1521, 1055, 2019, 3932, 1010, 2021, 21151, 2052, 2738, 8257, 2055, 2478, 2009, 2000, 6487, 1037, 2924, 1012, 6902, 14738, 2015, 4202, 2105, 1998, 10457, 2032, 2046, 1037, 3420, 1010, 2061, 6609, 17612, 2015, 1997, 2606, 1011, 4815, 1012, 2059, 1010, 13672, 5991, 1037, 5099, 10055, 1998, 4978, 2010, 2219, 1010, 2021, 4202, 4510, 3727, 2010, 2519, 1012, 2027, 3119, 17957, 1010, 2021, 6902, 2574, 4978, 3674, 24494, 1011, 5991, 1012, 4202, 2059, 10255, 6902, 2000, 1996, 13276, 1010, 2021, 13672, 2811, 25967, 2032, 2067, 2503, 2077, 4253, 16992, 2032, 2041, 2153, 1012, 6902, 2059, 9372, 2032, 2067, 2503, 1998, 2573, 4202, 1521, 1055, 10335, 2007, 25967, 1010, 3493, 11473, 2015, 1010, 1998, 1037, 4562, 8549, 1012, 4202, 2003, 2633, 2583, 2000, 7370, 1996, 11071, 2007, 2019, 3239, 1011, 26008, 1998, 1037, 4771, 3715, 2011, 13672, 1012, 2002, 2059, 11651, 6902, 2091, 2007, 1037, 5730, 21204, 1010, 3300, 11473, 1010, 2067, 21204, 1010, 1998, 2070, 4324, 1012, 2174, 1010, 6902, 9590, 2067, 2007, 1037, 8560, 8286, 3334, 1998, 1037, 16769, 1011, 4530, 2077, 7294, 1996, 4204, 10278, 2005, 1996, 2663, 1012, 2023, 2001, 2019, 8052, 3377, 1010, 2021, 2009, 2347, 1521, 1056, 2172, 1997, 1037, 2674, 1012, 1996, 2895, 2001, 15594, 2021, 2025, 26162, 1012, 2009, 2001, 2921, 2460, 2438, 2000, 2191, 6902, 2298, 2844, 2302, 2437, 4202, 2298, 2205, 5410, 1010, 2061, 2009, 8885, 2054, 2009, 2734, 2000, 2079, 1012, 1045, 2064, 1521, 1056, 2428, 6346, 1996, 2674, 1012, 3453, 1024, 6902, 13672, 1006, 1021, 1024, 2184, 1007, 2044, 1996, 2674, 1010, 5811, 4152, 1037, 2773, 2007, 13672, 1999, 2392, 1997, 1037, 5470, 3696, 2008, 2758, 1010, 1523, 16009, 2040, 1029, 12072, 3513, 999, 1524, 1006, 2017, 2113, 2027, 2106, 2023, 19430, 1999, 2392, 1997, 2008, 3696, 2006, 3800, 1012, 1007, 5811, 4455, 2009, 1037, 14388, 3377, 1998, 2758, 13672, 2038, 2196, 2246, 2488, 1012, 2002, 2036, 7545, 2039, 6902, 1521, 1055, 3471, 2007, 13653, 2679, 1998, 3565, 18445, 2099, 1010, 2021, 2002, 2059, 9704, 13672, 1521, 7209, 3125, 1012, 6902, 26663, 1996, 3565, 18445, 2099, 2112, 1998, 2758, 2008, 2010, 3125, 2003, 2000, 2022, 1996, 2190, 1012, 2002, 2758, 2008, 2111, 2031, 2872, 1996, 10238, 2114, 2032, 1998, 2002, 3786, 2216, 10238, 1012, 2002, 2059, 7659, 2019, 18988, 19430, 2055, 2551 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2273, 1521, 1055, 6322, 1997, 2383, 1037, 4256, 2040, 5942, 2388, 1998, 3336, 3131, 9634, 2005, 2034, 2792, 2695, 19362, 11667, 18224, 6190, 1012, 2566, 3981, 9080, 5177, 2740, 2578, 1998, 8593, 2107, 2004, 10439, 2024, 3352, 6233, 5204, 1997, 1996, 2342, 2000, 2490, 1998, 9125, 5826, 1997, 2308, 2040, 2031, 5281, 2695, 19362, 11667, 18224, 6190, 1006, 4903, 1007, 1012, 2174, 1010, 2045, 2038, 3130, 2042, 2210, 3834, 2470, 2046, 1996, 3791, 1997, 5826, 2076, 2023, 2051, 1012, 1037, 3522, 2817, 2038, 4208, 2006, 1996, 6322, 1997, 2698, 2273, 5819, 2037, 4256, 1998, 3336, 2020, 4914, 2000, 1037, 2388, 1998, 3336, 3131, 1006, 16914, 2226, 1007, 2005, 3949, 1997, 4903, 1012, 1996, 3166, 1997, 1996, 3259, 2038, 2517, 1037, 3538, 2005, 10439, 2000, 2425, 2149, 2062, 2055, 1996, 9556, 1997, 1996, 2817, 1998, 2129, 2023, 2071, 7461, 2129, 2578, 2147, 2007, 5826, 1999, 2925, 1012, 2470, 2038, 2409, 2149, 2008, 4903, 2064, 2031, 1037, 2166, 5278, 4254, 2006, 2308, 1521, 1055, 6322, 1997, 2388, 9021, 1010, 6550, 1998, 3168, 1997, 2969, 1012, 2037, 5826, 2036, 2411, 2342, 2000, 14171, 2000, 4824, 1996, 4650, 1998, 2490, 7233, 1012, 3383, 3305, 8231, 1010, 1996, 6565, 3484, 1997, 2566, 3981, 9080, 2740, 2470, 1998, 6612, 3218, 2038, 3130, 2042, 3579, 6924, 2006, 1996, 2092, 19205, 3070, 1997, 1996, 2388, 1998, 3336, 1012, 5819, 3611, 2015, 2024, 2108, 6233, 7843, 2009, 2003, 2411, 1999, 2037, 3977, 2004, 1037, 4256, 2040, 2003, 4637, 1996, 2388, 1010, 2738, 2084, 2004, 1037, 2711, 1999, 2037, 2219, 2157, 1012, 1999, 1996, 2470, 1010, 2009, 3464, 10599, 2129, 3611, 2015, 2024, 5360, 2011, 1996, 5729, 1998, 5573, 3267, 1997, 4903, 1998, 2011, 1996, 8745, 2013, 2037, 4256, 1998, 3336, 2076, 2037, 9634, 2000, 2019, 16914, 2226, 1012, 2023, 2817, 6461, 2000, 8849, 3611, 2015, 1521, 6322, 1997, 2220, 2269, 9021, 1998, 6550, 2076, 2037, 4256, 1521, 1055, 9634, 2005, 2037, 2034, 2792, 1997, 4903, 1010, 2000, 2393, 5335, 2256, 4824, 1997, 2037, 3791, 1998, 2129, 2578, 2064, 2147, 2007, 2945, 2076, 2023, 3697, 2051, 1012, 2129, 2001, 1996, 2817, 4146, 1029, 2698, 11397, 2020, 8733, 2013, 2048, 2866, 16914, 2271, 1012, 2005, 2035, 6818, 1010, 2023, 2001, 2037, 2034, 2775, 2007, 2037, 4256, 1012, 2035, 1997, 1996, 2273, 1521, 1055, 5826, 2020, 1999, 24343, 2015, 2006, 2019, 16914, 2226, 2012, 1996, 2051, 1997, 2108, 8733, 2021, 2020, 23454, 11889, 2044, 2383, 2070, 6993, 1997, 2188, 2681, 1012, 1996, 2273, 2165, 2112, 1999, 7636, 1010, 2029, 2020, 20302, 23274, 2094, 2478, 2019, 3921, 2029, 7679, 2006, 2437, 3168, 1997, 2129, 2111, 3305, 2037, 3265, 6322, 1012, 2054, 2020, 1996, 2364, 9556, 1029, 1996, 6818, 1521, 3441, 7686, 1996, 3019, 12503, 4193, 1996, 4182, 1997, 1037, 2775, 1010, 2029, 2001, 26986, 2011, 1996, 9223, 14447, 1997, 1037, 5729, 5177, 2740, 3291, 1012, 2045, 2020, 2048, 2364, 6991, 2306, 2122, 11397, 1521, 3441, 2029, 2024, 6851, 2917, 1998, 7203, 2007, 16614, 2013, 1996, 7636, 1012, 2035, 3415, 2109, 2024, 13881, 2015, 2000, 4047, 1996, 6818, 1521, 2019, 16585, 16383, 1012, 2364, 4323, 1015, 1024, 2054, 1996, 1042, 1008, 1008, 1047, 2003, 2183, 2006, 1029, 2023, 4323, 11138, 1996, 3768, 1997, 4824, 4193, 4903, 1998, 2049, 3949, 1012, 9135, 1998, 4963, 2020, 2691, 1010, 3383, 2349, 2000, 3110, 13346, 1010, 3279, 1997, 2491, 1998, 19725, 1012, 2087, 2273, 2179, 2009, 3697, 2000, 17614, 1996, 2220, 5711, 1997, 4903, 1010, 2004, 2027, 2020, 2025, 2469, 2054, 2003, 3671, 2005, 1037, 2047, 2388, 1012, 2005, 2087, 1010, 2023, 2001, 2037, 2034, 2775, 1998, 2037, 2034, 3622, 3325, 1997, 1037, 5177, 2740, 7669, 1012, 1045, 1529, 2134, 1521, 1056, 2428, 2156, 1996, 1529, 5751, 2138, 1037, 1012, 1045, 1521, 1049, 2025, 5281, 1999, 2068, 1998, 1038, 1012, 1045, 2354, 2045, 2001, 2242, 2039, 2021, 1045, 2404, 2009, 2091, 2000, 2014, 2108, 7078, 2058, 9069, 1012, 1006, 2508, 1007, 2004, 8030, 12506, 2000, 1996, 2062, 11325, 5711, 1010, 2273, 5228, 1037, 2846, 1997, 6699, 2107, 2004, 5213, 1010, 6724, 1998, 14325, 1012, 6322, 1997, 6224, 2658, 2393, 2020, 9426, 1012, 2740, 8390, 1006, 1041, 1012, 1043, 1012, 14246, 1521, 1055, 2030, 1037, 1004, 1041, 3095, 1007, 2134, 1521, 1056, 2467, 2113, 2055, 4903, 2029, 2823, 2419, 2000, 1037, 8536, 1999, 3949, 1998, 9135, 2005, 5826, 1012, 2087, 1997, 1996, 6818, 2134, 1521, 1056, 2113, 2054, 4903, 2001, 2043, 1996, 11616, 2001, 2034, 2445, 1010, 2348, 2383, 1037, 2171, 2005, 2037, 4256, 1521, 1055, 8190, 2411, 2790, 2000, 2507, 2070, 3168, 1997, 4824, 1998, 3246, 1012, 2070, 2179, 1996, 4274, 6179, 2005, 4531, 2062, 2592, 1010, 2164, 3167, 3441, 2013, 2060, 2945, 2006, 1996, 10439, 4037, 1012, 2012, 1996, 2051, 1010, 2065, 1045, 3342, 2157, 2135, 1010, 1045, 2134, 1521, 1056, 2130, 2963, 1996, 2695, 19362, 11667, 1529, 2009, 2001, 2074, 18224, 6190, 1529, 2061, 1045, 2134, 1521, 1056, 2130, 14396, 2009, 2000, 2151, 3228, 4182, 1529, 1012, 2009, 2001, 2074, 1010, 2026, 2564, 1521, 1055, 2908, 27756, 1012, 1006, 6606, 1007, 2206, 11616, 1010, 2035, 6818, 2359, 2000, 2022, 2920, 1999, 2037, 4256, 1521, 1055, 2729, 1025, 2174, 2025, 3110, 2657, 2030, 11126, 2011, 8390, 2001, 2691, 1012, 2116, 2371, 2037, 5936, 2020, 7219, 1998, 2025, 2579, 5667, 1012, 2045, 2001, 7167, 1997, 9135, 2007, 18777, 3012, 8853, 1998, 1996, 9470, 2790, 2000, 2022, 2006, 2388, 1998, 3336, 1010, 2025, 3611, 2015, 1012, 2070, 2020, 6625, 1999, 10368, 2023, 1998, 4851, 2005, 2592, 1010, 2500, 2020, 2625, 2061, 1012, 2043, 2589, 2092, 1010, 2592, 6631, 1998, 6624, 3271, 3611, 2015, 1521, 4824, 1997, 2054, 2001, 6230, 2005, 2037, 4256, 1012, 2005, 1996, 2034, 2274, 2420, 1010, 2035, 1045, 2288, 2001, 1010, 1520, 2017, 1521, 2128, 2025, 2496, 1010, 2115, 2365, 1521, 1055, 2025, 5068, 1010, 2017, 1521, 2310, 2288, 2053, 2157, 2000, 2113, 2073, 2027, 2024, 2030, 2054, 1521, 1055, 2183, 2006, 1521, 1012, 1998, 2008, 1521, 1055, 2035, 1045, 2288, 1010, 2013, 7955, 1012, 2061, 2035, 1045, 2354, 2001, 1010, 2026, 2365, 2018, 5419, 1010, 2026, 6513, 2018, 5419, 1012, 1006, 5199, 1007, 1045, 2228, 1045, 2453, 2031, 2288, 2006, 1996, 3460, 1521, 1055, 10627, 1037, 2210, 2978, 1012, 2138, 1031, 1996, 3460, 1033, 2001, 1529, 2066, 1010, 1520, 2092, 1010, 2023, 2003, 2055, 2033, 1998, 2115, 4256, 1521, 1010, 2021, 5525, 1031, 2026, 4256, 1033, 1529, 2453, 2025, 2130, 2228, 1997, 1996, 3980, 2008, 1045, 2228, 1997, 1012, 1006, 6606, 1007, 2364, 4323, 1016, 1024, 2051, 2000, 3275, 2041, 2129, 2115, 2155, 2573, 2023, 4323, 19566, 1996, 4254, 1997, 4903, 2006, 1996, 4395, 1010, 6550, 1998, 4767, 2306, 1996, 2155, 1012, 2087, 6818, 2371, 2062, 5368, 2000, 2729, 2005, 2119, 2037, 4256, 1998, 3336, 2004, 4903, 8030, 12506, 1012, 2116, 3611, 2015, 2371, 3724, 2000, 2037, 27520, 6537, 1998, 12315, 2393, 2013, 2155, 1998, 2814, 1012, 2070, 2308, 2020, 2034, 4914, 2000, 2236, 1999, 24343, 3197, 2029, 2020, 2025, 2371, 2000, 2022, 2200, 14044, 2030, 6413, 1012, 16914, 2226, 9634, 2001, 2788, 1037, 4335, 1998, 2435, 6656, 2005, 3611, 2015, 2000, 2298, 2044, 3209, 1012, 2116, 9480, 1996, 16914, 2226, 3095, 2015, 1521, 11532, 1998, 2387, 2009, 2004, 2019, 4495, 2005, 4083, 1998, 3930, 1012, 2174, 1010, 13041, 2058, 11922, 5368, 2001, 3697, 2005, 2070, 1012, 2057, 2020, 2725, 1996, 2157, 2518, 1529, 2009, 2001, 1037, 4335, 2008, 8307, 2842, 2001, 2183, 2000, 2298, 2044, 2014, 1998, 1996, 14667, 1012, 1012, 1012, 1012, 1045, 2071, 2272, 1999, 1010, 2507, 2014, 1529, 2035, 2026, 3086, 2005, 1529, 1037, 2261, 2847, 1999, 1996, 2851, 1010, 1037, 2261, 1999, 1996, 5027, 1010, 1037, 2261, 1999, 1996, 2305, 1529, 1998, 1045, 2354, 1996, 3336, 2001, 2108, 2579, 2729, 1997, 1012, 2021, 2059, 1045, 1521, 1040, 2175, 2067, 1998, 2031, 2051, 2000, 1529, 28667, 8167, 3351, 2026, 10274, 1012, 1006, 2745, 1007, 2087, 3611, 2015, 2371, 1037, 4121, 3279, 2005, 2037, 3276, 1998, 4256, 2076, 2023, 2051, 1012, 2116, 2371, 2894, 1025, 1996, 4207, 3325, 1997, 3225, 1037, 2155, 2007, 2037, 4256, 2018, 2579, 2200, 3584, 10425, 1012, 2070, 2253, 2083, 1037, 24665, 25587, 2832, 2004, 2037, 4256, 1521, 1055, 4767, 2790, 2000, 2031, 2042, 2904, 2011, 4903, 1012, 2005, 2500, 4903, 2001, 2464, 2004, 2242, 6327, 1520, 2635, 2058, 1521, 2037, 4256, 1012, 2016, 2001, 2182, 2021, 1045, 2245, 2014, 6180, 2001, 2757, 1010, 2061, 2026, 3276, 2007, 2014, 6180, 2003, 2757, 1529, 2026, 6180, 29225, 2007, 2014, 6180, 1010, 3398, 1998, 2065, 2016, 1521, 1055, 2025, 2045, 1529, 2256, 3276, 3475, 1521, 1056, 2045, 1529, 2009, 2371, 2066, 2016, 2001, 2757, 1012, 2061, 2043, 1045, 2001, 2012, 2188, 1045, 2371, 2066, 1045, 2001, 2309, 1012, 1045, 2371, 2066, 1045, 1521, 1040, 2439, 2673, 1012, 1006, 9321, 1007, 2273, 11121, 2000, 2514, 2625, 3279, 2105, 1996, 8745, 2013, 2037, 2775, 1025, 2023, 3276, 2001, 2411, 2464, 2004, 2062, 6540, 1998, 3893, 1012, 2116, 2018, 2318, 2000, 28667, 18256, 6593, 2007, 2037, 4256, 2004, 2027, 2318, 2000, 8980, 1010, 2021, 1996, 2146, 1011, 2744, 4254, 2001, 10599, 1012, 2087, 2106, 2025, 2215, 2062, 2336, 2138, 1997, 2925, 3891, 1997, 4903, 1012, 2009, 1521, 1055, 2074, 2025, 4276, 1529, 1996, 3891, 1529, 2000, 2026, 4256, 1012, 1998, 5525, 1996, 3336, 2052, 2022, 2045, 2004, 2092, 1012, 2008, 1521, 1055, 1529, 2028, 1997, 2026, 5936, 1529, 2016, 2453, 2196, 2031, 1037, 2567, 2030, 2905, 1529, 1045, 1521, 2310, 2288, 1037, 2567, 1998, 2002, 1521, 1055, 2026, 2190, 6775, 1012, 1012, 1012, 2026, 2775, 2180, 1521, 1056, 2031, 2008, 1998, 1045, 2514, 5905, 2055, 2008, 1010, 2005, 2014, 1012, 2021, 1529, 1045, 2074, 2123, 1521, 1056, 2228, 1010, 2092, 1010, 2012, 2023, 2391, 1999, 2051, 4312, 1010, 2008, 2009, 2052, 2022, 2019, 5724, 1012, 1006, 2745, 1007, 4903, 8394, 19037, 2000, 2108, 1037, 2155, 1010, 2029, 2001, 2411, 2081, 4788, 2011, 2312, 12103, 2090, 2188, 1998, 1996, 16914, 2226, 1012, 2045, 2020, 2439, 6695, 2000, 2079, 1520, 3671, 1521, 3450, 2007, 1996, 3336, 1998, 2070, 10908, 1997, 6687, 9021, 2020, 2025, 2777, 1012, 2017, 2514, 1010, 1037, 2978, 13366, 13776, 1529, 1012, 2138, 2017, 1521, 2310, 2288, 2048, 3134, 2125, 2013, 2147, 1010, 2017, 2031, 2035, 2122, 3488, 2000, 2079, 2122, 2307, 2477, 1998, 2793, 2091, 1998, 3402, 2008, 2048, 3134, 2003, 2908, 1012, 2138, 2017, 1521, 2128, 1999, 2902, 1012, 1998, 2059, 2017, 1529, 2342, 2000, 2175, 2067, 2000, 2147, 2021, 2057, 4033, 1521, 1056, 2018, 2051, 2000, 5416, 2012, 2188, 1012, 1006, 6606, 1007, 2005, 2070, 2009, 2001, 2524, 2000, 6687, 1996, 2126, 2027, 2359, 2000, 2006, 1996, 16914, 2226, 2021, 2500, 2018, 2062, 3893, 6322, 1012, 2070, 2020, 5191, 2055, 2129, 2155, 2166, 2052, 2022, 2043, 4192, 2188, 1010, 5819, 2500, 2387, 2037, 2155, 2004, 1520, 2067, 2000, 3671, 1521, 2525, 1012, 1045, 2123, 1521, 1056, 2215, 2000, 2360, 2009, 1521, 1055, 2081, 2149, 4982, 2039, 1529, 2021, 1045, 6814, 2009, 2038, 1012, 1012, 1012, 2009, 1521, 1055, 2081, 2149, 1529, 2468, 2026, 3008, 1529, 2009, 1521, 1055, 1037, 2367, 2166, 2000, 1996, 2028, 2057, 1521, 1040, 4066, 1997, 3740, 1010, 2130, 2096, 2016, 2001, 6875, 1012, 1006, 5487, 1007, 11433, 2013, 1996, 2470, 5819, 2069, 1037, 2235, 2193, 1997, 6322, 2020, 2988, 1999, 2023, 2817, 1010, 2070, 11433, 2064, 2022, 2081, 2000, 3046, 2000, 5335, 2925, 3218, 1998, 2470, 1999, 2023, 6233, 2590, 2181, 1024, 1011, 5301, 7073, 1997, 4903, 2003, 2734, 1010, 2005, 2119, 2740, 8390, 1998, 1996, 2270, 1010, 2000, 3499, 5514, 11616, 1010, 3229, 2000, 1996, 2157, 3949, 1998, 2625, 26453, 2105, 1996, 4650, 1012, 1011, 5301, 3229, 2000, 16914, 2271, 2003, 2734, 1012, 1999, 2023, 2817, 1010, 2236, 5177, 2740, 2578, 2020, 2025, 7021, 2004, 6413, 2011, 3611, 2015, 1006, 3025, 2470, 2038, 2179, 2308, 2514, 1996, 2168, 1007, 1012, 2116, 2273, 2018, 2000, 3604, 2312, 12103, 2000, 3942, 2037, 2155, 2349, 2000, 1996, 3768, 1997, 11343, 1997, 2334, 3197, 1010, 2029, 2580, 3445, 6911, 1010, 8745, 1998, 3361, 15399, 1012, 1011, 2740, 2578, 2342, 2000, 5335, 2129, 2027, 2147, 2362, 2007, 11397, 1012, 2116, 2371, 12421, 2013, 2037, 4256, 1998, 3336, 1521, 1055, 2729, 1010, 4786, 2062, 9135, 1998, 6724, 1012, 1011, 1996, 10984, 1998, 2828, 1997, 2490, 2578, 3749, 2000, 11397, 2323, 2022, 2641, 1025, 2130, 2065, 2273, 2360, 1520, 2053, 1521, 2320, 2027, 2453, 2342, 2393, 1999, 2925, 1012, 2116, 1997, 1996, 6818, 2988, 2025, 3110, 3201, 2000, 2831, 2055, 2054, 2001, 6230, 2127, 1996, 2051, 2001, 2157, 2005, 2068, 1012, 1011, 2823, 2578, 2079, 2131, 2009, 2157, 999, 2087, 2273, 2018, 3893, 6322, 1997, 16914, 2271, 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, 2702, 2062, 3182, 1999, 1996, 2148, 2000, 10887, 29525, 2015, 2025, 2069, 2515, 2256, 2137, 2510, 2562, 2149, 3647, 2076, 2037, 7470, 1999, 2256, 4273, 2749, 1010, 2027, 2562, 2256, 4610, 10998, 2830, 2044, 2027, 11036, 2013, 2326, 1012, 2182, 2024, 2184, 3655, 1999, 1996, 2148, 2073, 2510, 2945, 2031, 1037, 3928, 4254, 2006, 1996, 2451, 1012, 1523, 2043, 2009, 3310, 2000, 14877, 1010, 3316, 2272, 2000, 13635, 1012, 1524, 2023, 14558, 2038, 2042, 1996, 2364, 4471, 2005, 13635, 1521, 1055, 5151, 14877, 2005, 2116, 2086, 1010, 4283, 2000, 1996, 5151, 3737, 1997, 8244, 1999, 1996, 2181, 1012, 13635, 1521, 1055, 3481, 5146, 4499, 2035, 2510, 5073, 1999, 2592, 2974, 1010, 7588, 1010, 12108, 1998, 12708, 1010, 1998, 2003, 1996, 16941, 2415, 1997, 8012, 2005, 1996, 1057, 1012, 1055, 1012, 2390, 1012, 2007, 3053, 5018, 1997, 2122, 3811, 10571, 2510, 5073, 7678, 2037, 2510, 2326, 1998, 6224, 6107, 1999, 13635, 2296, 3204, 1010, 13635, 2038, 1037, 3053, 10866, 4425, 1997, 3737, 8244, 2007, 3563, 4813, 2008, 2064, 15581, 2000, 2151, 2449, 2944, 1012, 1012, 1012, 5814, 1010, 12108, 1010, 2436, 1010, 2951, 1998, 2326, 1012, 13635, 3316, 2424, 4738, 1010, 12530, 3085, 1998, 10791, 3667, 1010, 4283, 2000, 1996, 2152, 2193, 1998, 1996, 4547, 2504, 1997, 8244, 1999, 1996, 13635, 2181, 1012, 6960, 1998, 11472, 17007, 3745, 1037, 2844, 5416, 1999, 1996, 2433, 1997, 1037, 3515, 1010, 2199, 1011, 7456, 2510, 8272, 2008, 15856, 1002, 1015, 4551, 6604, 2046, 1996, 2334, 4610, 1012, 3481, 21766, 9102, 1998, 1996, 1057, 1012, 1055, 1012, 2390, 5734, 2415, 1997, 8012, 4957, 1996, 2048, 5721, 2011, 2455, 1012, 2062, 2084, 3156, 2948, 2024, 3390, 3679, 2046, 1996, 3712, 2682, 1996, 2048, 1012, 1037, 10571, 14877, 1010, 2081, 2039, 4321, 1997, 2510, 8244, 1010, 6971, 1996, 4279, 2000, 1021, 1010, 2199, 5841, 2580, 2011, 3639, 16728, 2107, 2004, 2390, 4170, 2490, 1010, 20116, 2278, 1010, 9033, 21815, 5874, 1010, 4330, 7739, 1010, 10321, 1998, 2500, 1012, 2533, 1997, 3639, 5126, 6039, 2178, 1021, 1010, 2199, 5841, 1012, 2116, 1997, 1996, 2195, 3634, 5073, 2040, 11036, 2030, 2681, 1996, 2510, 2169, 2095, 5454, 2000, 2994, 1999, 1996, 6960, 1011, 11472, 17007, 2181, 2138, 1997, 1996, 9186, 5734, 1011, 3141, 3068, 1012, 1012, 1012, 10488, 9153, 2441, 2049, 4303, 2197, 2095, 1012, 1037, 7578, 3171, 2918, 1011, 1011, 8712, 2066, 6960, 1521, 1055, 26236, 11057, 12945, 1010, 3652, 9871, 4128, 1998, 7027, 5661, 1011, 1011, 3749, 2130, 2062, 6107, 6695, 2005, 8244, 1012, 8515, 2103, 1010, 3516, 1057, 1012, 1055, 1012, 2510, 14111, 15161, 1996, 2555, 2007, 1996, 2922, 2510, 2918, 24319, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 1998, 3073, 1037, 17079, 18622, 6774, 3171, 3747, 2006, 1996, 2181, 1012, 3987, 2490, 4023, 8515, 2103, 1010, 1057, 1012, 1055, 1012, 3023, 3457, 2276, 8515, 2103, 1998, 5939, 8943, 3363, 2250, 2486, 2918, 1999, 3016, 2221, 1010, 2247, 2007, 3518, 1041, 25394, 2078, 2250, 2486, 2918, 1006, 1996, 2922, 2918, 1999, 1996, 1057, 1012, 1055, 1012, 2250, 2486, 1007, 1998, 2060, 3987, 1998, 5734, 1011, 3141, 14111, 2024, 1999, 2485, 10039, 1010, 5525, 15411, 3639, 16728, 1998, 5734, 1998, 13395, 3141, 3316, 1998, 20141, 1012, 3053, 2296, 9582, 3858, 3639, 13666, 1010, 3155, 3438, 3316, 1010, 2038, 1037, 3739, 1999, 3016, 2221, 1012, 3987, 2490, 4023, 8515, 2103, 13495, 3155, 1016, 1010, 5385, 6831, 1998, 2510, 5073, 1012, 2049, 3171, 4254, 2006, 3016, 2221, 2003, 2062, 2084, 1002, 4278, 2454, 6604, 1012, 3155, 1021, 1010, 3998, 2510, 1010, 6831, 1998, 3206, 5073, 2024, 4846, 2012, 5939, 8943, 3363, 2437, 2009, 1996, 2922, 11194, 1999, 3016, 2221, 1012, 1996, 2918, 3640, 2490, 4128, 2005, 2062, 2084, 1023, 1010, 2199, 2510, 11036, 2229, 1998, 2018, 1037, 2334, 3171, 4254, 2008, 14872, 1002, 6079, 2581, 2454, 1999, 2262, 1012, 2007, 8515, 2103, 1521, 1055, 11559, 4785, 1998, 6695, 1999, 1996, 3639, 3068, 1010, 2009, 4832, 2000, 3114, 2008, 9150, 2510, 2052, 2215, 2000, 3613, 2000, 2655, 2009, 2188, 1012, 3316, 2559, 2000, 7818, 2037, 3136, 2097, 2424, 26073, 8361, 2004, 2028, 1997, 1996, 2087, 16166, 3509, 7363, 4279, 2000, 12453, 2030, 7818, 1037, 2449, 1012, 2124, 2004, 1996, 1523, 18293, 1997, 3987, 5734, 1524, 1998, 2188, 1997, 1996, 3212, 1521, 1055, 3462, 10467, 3704, 1010, 1996, 2630, 7048, 1010, 1996, 2451, 2038, 2048, 3161, 2510, 7888, 1024, 3987, 2250, 2276, 26073, 1998, 3987, 2250, 2276, 1059, 27798, 3070, 2492, 1012, 2122, 14111, 4070, 2005, 2062, 2084, 3770, 1010, 2199, 2561, 5841, 1010, 2164, 3161, 1011, 4611, 2510, 1010, 1998, 1037, 1002, 1021, 1012, 1022, 4551, 3171, 4254, 2000, 1996, 2555, 1012, 2006, 2779, 1010, 1016, 1010, 2199, 2510, 5073, 6653, 2041, 1997, 2326, 2169, 2095, 1999, 26073, 1010, 9461, 2000, 4607, 1996, 6831, 14877, 2007, 4813, 8454, 1999, 1996, 2206, 23374, 1024, 3935, 5814, 1010, 2592, 2974, 1010, 16941, 3036, 1010, 5734, 1013, 13395, 1010, 1998, 7803, 3742, 5343, 3136, 1012, 4514, 3516, 2038, 1996, 2117, 3284, 6693, 1997, 2510, 11036, 2229, 1999, 1996, 3842, 1012, 2007, 1037, 10571, 14877, 1010, 11119, 4785, 1998, 1996, 7142, 3930, 1997, 6088, 1010, 1996, 2451, 4247, 2000, 7818, 1012, 6713, 4832, 2041, 2004, 1037, 2307, 2173, 2000, 10887, 29525, 2015, 1999, 2312, 2112, 2349, 2000, 2789, 5612, 2118, 1006, 23969, 2226, 1007, 1010, 2029, 2003, 2284, 2045, 1998, 4247, 2000, 7796, 2120, 7836, 2005, 2049, 8426, 2000, 2510, 8244, 1998, 2037, 7790, 2015, 1012, 1996, 23969, 2226, 5734, 2565, 2003, 2525, 3858, 9582, 2005, 2049, 2028, 1011, 1997, 1011, 1037, 1011, 2785, 5734, 2565, 1998, 1999, 3433, 2000, 1037, 4969, 5157, 1997, 4749, 2620, 1010, 2199, 8221, 2058, 1996, 2279, 2322, 2086, 1010, 23969, 2226, 2003, 2559, 2000, 7818, 2049, 2565, 14927, 1012, 2005, 1996, 4369, 5486, 2095, 1010, 23969, 2226, 2038, 2042, 2315, 1037, 2510, 1011, 5379, 29656, 2082, 2011, 3377, 2865, 1010, 5464, 1999, 1996, 2327, 2321, 3867, 1012, 1996, 2082, 2036, 2038, 2042, 3858, 2011, 2510, 2335, 3341, 2932, 3807, 1999, 1996, 2197, 2176, 2086, 2004, 1523, 2190, 2005, 29525, 2015, 1010, 1524, 1996, 2053, 1012, 1015, 2267, 2030, 2118, 1999, 1996, 2406, 2005, 2049, 11107, 2000, 2393, 8244, 2582, 2037, 2495, 1012, 1057, 1012, 1055, 1012, 2739, 2435, 2034, 2173, 2000, 23969, 2226, 2426, 1996, 3784, 4619, 2495, 3454, 2005, 29525, 2015, 1010, 1998, 1996, 1057, 1012, 1055, 1012, 2533, 1997, 8244, 3821, 2315, 23969, 2226, 1037, 29525, 6342, 9468, 7971, 2118, 1012, 23969, 2226, 1521, 1055, 3169, 8003, 3112, 2950, 2053, 9634, 9883, 2005, 8324, 8244, 1010, 1999, 1011, 2110, 15413, 2005, 2035, 8244, 9053, 1010, 4555, 4923, 2847, 2005, 2510, 3325, 1010, 1998, 1037, 8003, 2913, 3576, 1010, 3373, 2000, 2022, 1996, 3842, 1521, 1055, 2034, 1012, 2624, 4980, 1010, 3146, 2013, 1996, 5069, 1997, 1996, 3653, 5332, 20617, 2139, 2022, 18684, 2099, 1999, 26995, 1010, 2029, 2366, 2004, 1996, 2835, 1997, 2231, 1998, 2510, 4075, 2005, 5336, 3146, 1010, 2000, 1996, 5069, 1997, 4101, 2918, 2624, 4980, 1999, 2230, 1010, 2624, 4980, 2038, 5632, 1037, 2784, 1998, 2146, 1011, 3061, 2381, 2007, 1996, 1057, 1012, 1055, 1012, 2510, 1012, 2429, 2000, 1037, 2817, 2949, 1999, 2249, 1010, 1996, 26489, 1999, 2624, 4980, 2018, 1037, 1002, 2676, 1012, 1021, 4551, 4254, 2006, 1996, 2181, 1010, 3569, 1996, 6107, 1997, 20500, 1010, 16459, 2111, 1999, 1996, 2451, 1998, 3018, 1002, 1018, 4551, 1999, 2334, 8311, 1012, 1996, 26489, 1521, 1055, 2922, 2902, 2045, 3640, 2740, 2729, 2000, 2062, 2084, 5539, 1010, 2199, 8244, 1998, 2037, 7790, 2015, 1012, 2651, 1010, 2624, 4980, 1010, 1996, 5066, 2922, 2103, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2003, 2188, 2000, 2028, 1997, 1996, 2922, 7080, 1997, 2510, 11036, 2229, 1999, 1996, 2406, 1012, 2624, 4980, 2038, 1010, 1999, 2755, 1010, 2468, 1037, 2510, 5075, 2352, 1998, 2188, 2000, 1037, 2193, 1997, 2510, 3563, 5075, 4279, 1012, 2045, 2024, 4700, 1010, 6227, 2549, 2510, 11036, 2229, 1999, 2624, 4980, 1010, 2116, 1997, 2029, 3613, 2551, 1999, 1523, 2117, 10922, 1012, 1524, 3027, 1012, 5954, 1010, 2284, 2074, 2648, 1997, 1996, 10891, 5796, 2050, 1010, 1998, 4477, 2390, 9087, 9699, 7182, 3171, 4023, 2000, 10943, 10502, 1997, 7044, 1998, 2146, 5721, 1999, 1996, 3469, 10891, 4642, 3736, 1012, 3027, 1012, 5954, 1998, 4477, 9779, 2546, 2031, 2019, 3296, 3361, 4254, 1997, 1002, 1018, 1012, 1023, 4551, 1012, 3481, 5954, 2003, 1996, 2922, 2510, 8272, 2264, 1997, 1996, 5900, 2314, 1998, 4472, 3053, 21777, 1010, 2199, 4631, 1012, 3027, 1012, 5954, 1998, 4477, 9779, 2546, 2362, 2024, 2028, 1997, 5780, 4108, 1521, 1055, 2922, 12433, 1012, 1996, 6463, 1997, 2510, 2000, 6831, 5126, 2003, 3155, 2274, 2000, 2028, 1010, 2007, 2603, 1010, 17332, 3738, 1998, 9417, 2510, 1998, 1018, 1010, 5718, 2581, 9272, 4846, 2012, 2119, 14111, 1012, 3027, 1012, 5954, 6115, 2005, 3053, 2093, 1011, 2959, 2015, 1997, 1996, 2510, 6107, 1999, 1996, 2181, 1012, 23740, 1011, 5795, 3771, 2103, 1521, 1055, 11286, 15145, 2250, 2486, 2918, 2003, 1996, 2117, 2922, 2510, 4322, 1999, 5773, 1012, 8361, 2013, 1996, 6557, 4249, 1997, 7855, 5773, 1999, 1996, 2220, 5687, 1010, 11286, 15145, 2038, 4961, 2046, 1037, 2350, 3120, 1997, 6599, 1998, 6107, 2005, 1996, 2555, 2045, 2024, 1020, 1010, 6227, 2683, 2510, 1998, 1015, 1010, 8746, 6831, 5126, 2005, 1037, 2561, 1997, 1022, 1010, 6021, 2549, 3667, 2012, 1996, 2918, 1012, 1996, 4785, 1010, 3295, 1998, 2510, 4044, 2191, 2023, 2181, 1037, 2759, 2173, 2005, 2510, 11036, 2229, 1998, 2037, 2945, 2000, 2655, 2188, 1012, 7680, 3334, 1010, 2148, 3792, 2043, 23488, 8197, 17305, 2234, 2000, 7680, 3334, 1010, 1996, 2194, 3090, 1037, 3078, 3114, 2005, 10549, 1996, 25497, 2284, 2148, 3792, 2451, 2001, 2049, 10039, 2000, 2510, 7888, 1011, 1011, 8233, 2250, 2486, 2918, 1010, 3481, 4027, 1006, 1057, 1012, 1055, 1012, 2390, 1007, 1998, 11338, 4765, 7442, 4101, 2120, 3457, 2918, 1011, 1011, 1998, 1996, 2111, 3378, 2007, 2068, 1012, 1523, 2008, 1521, 1055, 2339, 2057, 5136, 2256, 2510, 7264, 2426, 2256, 2190, 7045, 1010, 1524, 2056, 6108, 8040, 2232, 15557, 3917, 1010, 2343, 1998, 5766, 1997, 7680, 3334, 3171, 2458, 1012, 1523, 3667, 2007, 2510, 15406, 7166, 2000, 2031, 2062, 2731, 1010, 1037, 6428, 2147, 3802, 16066, 1998, 14243, 1010, 1998, 1996, 2785, 1997, 2147, 9009, 8712, 2215, 1012, 1524, 1999, 2035, 1010, 2045, 2024, 2062, 2084, 2382, 1010, 2199, 3161, 4611, 2510, 5073, 2306, 1037, 2431, 3178, 1997, 7680, 3334, 1010, 5190, 1997, 11036, 2229, 1010, 1998, 15295, 1997, 5190, 1997, 3667, 2007, 2070, 2510, 2731, 1012, 1523, 2045, 2024, 1037, 2843, 1997, 4436, 7680, 3334, 2221, 2003, 1037, 2307, 3295, 2005, 8712, 1012, 2021, 2043, 2356, 1520, 2339, 7680, 3334, 1010, 1521, 2256, 3229, 2000, 8244, 1998, 2060, 2510, 12455, 2003, 2467, 2012, 1996, 2327, 1997, 1996, 2862, 1010, 1524, 8040, 2232, 15557, 3917, 2056, 1012, 3448, 3509, 1010, 3448, 1996, 3448, 3509, 5796, 2050, 2003, 2188, 2000, 1996, 2922, 3161, 1011, 4611, 2510, 2313, 1999, 1996, 1057, 1012, 1055, 1012, 1010, 2004, 2092, 2004, 2184, 2350, 2510, 14111, 5052, 2035, 5628, 1997, 1996, 1057, 1012, 1055, 1012, 4273, 2749, 1012, 1999, 2804, 1010, 1996, 2069, 4568, 10079, 4075, 2648, 1997, 2885, 2003, 2284, 1999, 1996, 5796, 2050, 1012, 2247, 2007, 1037, 4121, 3212, 24319, 1010, 1996, 2555, 6184, 2350, 2250, 2486, 1010, 2390, 1010, 3884, 3650, 1010, 1998, 3023, 3457, 4128, 1012, 2004, 1037, 2765, 1010, 1996, 2181, 2003, 5186, 1000, 2510, 5379, 1000, 1999, 2035, 17475, 1012, 2169, 2095, 3155, 2260, 1010, 2199, 3161, 1011, 4611, 5073, 6164, 1996, 2510, 1999, 1996, 2555, 1010, 2007, 2116, 21393, 2000, 2994, 1999, 1996, 2181, 1998, 6148, 2797, 4753, 6107, 1012, 1996, 2495, 1998, 2731, 2504, 1997, 1996, 22371, 2510, 5073, 3288, 7578, 1998, 28675, 2537, 1010, 4087, 1010, 24465, 1010, 3274, 1998, 4816, 4813, 2000, 1996, 4450, 2486, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2005, 2216, 1997, 2017, 10373, 2075, 2149, 1523, 2073, 2024, 2026, 3679, 4937, 4311, 1029, 1524, 1010, 3531, 9131, 2008, 2057, 3855, 2195, 2335, 2008, 2057, 2024, 7118, 2076, 1996, 2621, 1998, 4039, 2000, 2695, 2006, 1037, 3180, 3978, 1012, 2057, 2031, 1037, 2261, 2420, 2090, 9109, 1998, 2031, 7172, 2023, 2733, 1521, 1055, 3811, 2590, 9530, 23650, 18594, 4858, 1012, 5678, 1010, 2057, 2031, 2070, 6429, 2592, 2000, 3745, 2007, 2017, 2006, 17880, 2389, 2671, 1998, 8907, 2013, 1037, 3034, 2057, 3728, 3230, 1012, 2054, 1037, 26380, 4474, 2000, 3113, 6614, 11579, 16908, 27100, 1998, 5529, 2040, 20014, 14663, 2098, 2008, 2057, 2052, 2022, 7052, 1996, 3034, 1999, 13402, 3077, 1012, 2057, 2018, 1037, 26380, 4596, 2007, 2023, 2373, 3232, 1998, 5632, 1037, 2898, 2846, 6594, 2013, 4331, 2000, 4522, 8907, 6078, 1998, 16913, 11475, 7368, 1996, 3795, 5130, 3246, 2017, 2196, 7523, 1012, 2256, 2933, 1999, 1996, 2279, 2261, 2420, 2003, 2000, 3073, 2017, 2007, 1037, 4937, 3189, 2030, 2048, 1012, 1523, 22396, 1998, 2726, 1524, 2097, 2022, 4346, 1037, 2739, 1998, 18558, 10651, 2005, 2017, 2006, 1996, 2137, 4454, 2865, 7858, 3149, 2004, 2574, 2004, 2057, 2024, 3236, 2039, 2007, 1996, 3679, 2739, 5402, 1012, 2057, 2024, 2036, 2200, 7568, 2000, 7680, 7849, 4697, 1996, 11637, 1997, 1996, 17880, 2389, 2671, 3034, 2006, 20045, 1998, 26906, 1012, 2138, 1997, 2049, 9686, 29112, 3267, 1010, 2057, 2097, 2022, 14739, 2023, 2006, 2256, 8036, 1997, 9665, 3149, 1012, 2057, 2097, 2039, 11066, 2023, 2077, 2057, 2132, 2041, 2061, 2191, 2469, 2017, 2024, 4942, 29234, 2094, 2000, 2256, 2060, 3149, 1012, 2045, 2003, 2166, 3458, 1996, 11963, 1998, 2256, 2047, 15636, 2064, 2393, 2017, 3338, 2041, 1997, 1996, 12546, 1997, 1037, 12441, 2088, 1998, 3357, 2046, 1037, 2173, 1997, 14668, 4022, 1998, 12020, 1012, 2057, 2031, 2363, 2115, 7696, 1998, 22028, 2008, 2256, 3430, 2003, 2108, 5192, 8193, 7228, 1998, 13848, 8292, 29577, 2098, 2006, 2115, 2591, 2865, 7248, 1012, 1996, 3606, 4713, 6866, 2019, 6581, 2678, 2006, 2591, 2865, 1010, 16950, 9102, 4059, 1010, 1998, 2745, 11338, 3211, 19473, 2078, 2096, 2057, 2020, 7118, 1012, 3531, 5470, 2023, 2041, 2000, 2115, 4418, 1997, 3747, 1998, 2562, 1999, 2568, 2008, 1996, 2591, 2865, 7230, 2215, 1996, 2231, 2000, 3338, 2068, 2039, 1516, 2027, 2097, 2191, 2130, 2062, 2769, 1999, 2023, 5679, 1012, 4952, 2000, 2745, 1998, 5203, 4863, 2023, 1999, 2037, 3522, 5746, 1024, 8816, 2023, 6315, 1008, 1012, 6131, 2549, 2678, 5371, 1006, 16528, 16914, 1007, 2000, 3745, 7969, 2009, 2004, 2057, 2156, 2008, 9130, 2038, 2525, 2318, 8292, 29577, 2075, 2009, 1529, 1012, 4241, 2232, 1012, 2085, 1529, 2000, 1996, 18594, 4858, 2005, 1996, 2733, 1024, 6947, 2087, 2783, 6206, 3795, 13420, 4023, 6223, 2013, 1996, 9388, 1012, 5709, 1010, 3918, 2866, 10383, 1523, 2274, 2159, 1524, 3820, 11862, 5035, 1010, 2703, 3981, 2566, 4115, 1012, 1006, 9388, 1012, 2423, 1010, 10476, 1007, 1012, 4397, 21362, 23971, 5491, 8328, 2582, 2422, 2006, 2274, 2159, 4707, 1010, 2007, 5799, 5491, 1012, 2375, 17883, 1012, 1006, 4464, 16914, 1010, 8698, 18720, 2015, 1007, 15529, 12322, 1010, 1048, 5332, 2497, 1012, 1006, 2089, 2184, 1010, 3982, 1007, 1012, 2327, 3595, 1041, 18688, 1010, 1057, 1012, 1047, 1012, 1516, 1057, 1012, 1055, 1012, 4806, 4454, 3820, 1006, 2866, 10383, 3820, 1010, 7450, 2053, 1012, 1018, 1012, 23971, 1010, 1043, 2818, 4160, 1012, 2006, 13323, 1012, 2676, 1010, 3285, 1010, 1996, 23971, 6563, 1996, 19802, 1012, 2260, 1010, 3386, 2344, 2011, 2343, 15237, 1010, 2772, 2006, 9388, 1012, 1019, 1010, 3918, 2004, 1996, 14669, 3120, 2005, 1996, 22917, 4454, 8346, 2007, 1996, 2329, 1998, 5663, 2008, 10082, 6035, 2007, 3795, 2923, 2248, 5085, 1998, 20584, 11578, 2119, 7207, 2015, 1998, 10503, 2024, 2651, 4276, 2092, 2046, 1996, 1002, 2531, 1521, 1055, 1997, 8817, 1997, 6363, 1010, 2383, 18516, 2023, 4454, 1012, 18520, 4324, 1996, 1052, 3211, 21999, 6309, 2000, 2172, 1997, 1996, 2976, 2958, 3691, 1010, 2164, 1996, 8495, 1521, 1055, 1012, 4116, 10503, 1037, 7207, 3192, 2329, 7505, 21799, 1029, 19429, 9031, 1997, 2110, 1011, 6485, 3200, 11933, 1998, 4895, 29427, 27226, 2023, 2001, 1037, 13114, 1012, 2676, 1010, 3918, 3116, 1997, 1057, 1012, 1055, 1012, 1998, 2329, 4454, 9058, 2218, 2074, 3188, 2000, 1996, 9388, 1012, 2340, 1010, 3918, 4087, 3116, 1517, 2048, 3134, 2101, 2007, 1037, 2193, 1997, 1996, 2168, 6818, 1012, 2023, 2003, 1037, 2327, 3595, 2231, 3820, 19429, 11787, 6206, 16636, 26755, 1997, 3200, 1998, 4895, 29427, 27226, 2013, 2049, 2224, 1999, 11371, 1997, 1996, 1057, 1012, 1055, 1012, 4552, 3602, 1024, 2023, 2089, 2036, 6611, 2000, 5696, 2358, 15532, 2243, 1521, 1055, 2553, 2073, 2002, 9251, 2008, 1996, 2110, 1997, 2047, 2259, 2003, 18345, 2006, 2023, 3820, 2000, 5271, 3336, 3033, 2008, 2027, 2079, 2025, 2219, 1012, 3602, 2129, 2027, 2056, 12266, 2135, 2008, 2130, 2065, 7376, 21644, 1006, 2027, 2109, 7353, 12827, 17002, 2080, 1010, 1041, 1012, 1043, 1012, 5080, 1010, 14709, 1010, 4118, 1010, 6028, 1007, 2024, 21527, 2090, 1996, 2283, 1010, 1998, 1996, 16636, 2075, 2283, 3825, 2498, 2005, 2009, 1010, 1996, 4909, 2283, 2089, 2145, 2031, 2000, 3477, 25335, 2000, 2224, 2009, 1012, 1006, 21527, 2003, 17634, 1011, 14939, 3206, 2653, 1012, 1007, 2508, 1052, 1012, 13814, 2354, 2035, 2055, 2023, 15888, 1012, 19429, 9031, 1997, 2110, 1011, 6485, 3200, 11933, 1998, 4895, 29427, 27226, 4297, 10483, 5397, 1040, 1031, 14387, 1033, 14817, 2013, 20423, 1019, 1010, 22524, 1038, 1012, 1012, 1012, 1012, 1996, 16636, 6651, 2011, 2028, 2283, 2000, 1996, 2060, 1010, 27081, 2000, 2023, 20423, 1010, 1997, 1037, 5080, 2030, 14709, 2089, 2202, 1996, 2433, 1997, 1037, 5592, 1010, 5414, 1010, 5096, 1010, 12635, 1010, 2030, 14259, 2800, 1010, 2004, 2089, 2022, 3530, 1998, 5412, 2090, 1996, 4243, 1999, 1996, 3563, 6013, 1012, 1996, 2755, 2008, 1996, 5860, 10483, 2075, 2283, 2089, 2031, 1996, 14293, 1997, 2478, 1037, 4118, 2030, 6028, 1010, 2030, 1037, 5080, 2030, 14709, 20246, 2045, 3406, 1010, 2006, 1037, 16664, 1011, 2489, 3978, 4618, 2025, 1997, 2993, 15804, 1996, 4909, 2283, 1997, 1996, 14987, 2000, 3477, 25335, 1012, 13814, 1521, 1055, 2857, 1523, 3319, 1524, 1997, 1996, 23971, 1011, 1043, 2818, 4160, 8346, 1523, 1529, 2053, 1031, 27737, 1033, 3431, 2000, 2009, 1031, 9388, 1012, 3918, 2866, 1011, 3915, 3820, 1033, 2031, 2042, 2081, 1524, 1523, 2440, 1998, 6970, 3207, 11837, 16454, 5386, 1524, 2090, 23971, 1998, 1043, 2818, 4160, 1006, 2857, 2549, 1007, 2081, 2039, 23971, 1011, 1043, 2818, 4160, 2744, 1024, 20014, 13910, 9910, 2015, 1006, 2426, 2117, 1998, 2353, 4243, 1007, 2198, 16399, 3363, 17010, 2386, 2001, 2028, 1997, 1996, 4177, 1997, 1996, 2866, 1011, 3915, 4101, 4454, 3820, 2006, 9388, 1012, 5709, 1010, 3918, 1012, 2520, 11320, 2102, 10105, 2401, 2243, 1012, 1006, 21650, 1012, 5890, 1010, 3196, 1007, 1012, 2198, 1044, 1012, 17010, 2386, 1024, 1037, 2128, 25300, 11020, 10127, 1010, 2621, 1013, 2991, 3196, 1011, 5285, 1012, 1015, 1010, 16839, 1012, 1016, 1011, 1017, 1012, 19888, 12898, 12863, 12174, 1012, 23971, 1012, 2298, 2012, 1996, 8196, 2027, 2580, 2005, 2032, 2012, 1996, 23971, 1012, 17010, 2386, 2001, 2019, 1523, 6970, 28637, 1524, 3574, 2002, 2001, 4846, 2011, 1043, 2818, 4160, 1998, 1996, 23971, 7453, 1012, 1523, 20014, 13910, 9910, 1524, 3544, 2000, 2022, 1037, 2773, 24212, 2074, 2005, 2224, 2503, 1996, 2274, 2159, 3595, 2451, 2005, 5073, 2008, 2027, 3745, 2408, 4411, 1012, 1999, 2386, 2150, 4112, 2472, 1997, 1996, 9915, 3859, 2044, 6608, 1996, 8196, 3602, 2000, 6950, 1024, 13814, 1998, 13184, 7543, 8678, 2007, 17010, 2386, 2144, 13184, 2743, 1996, 2149, 2390, 3036, 4034, 1006, 17306, 1007, 2104, 5261, 5708, 1012, 17010, 2386, 2018, 2042, 1996, 1043, 2818, 4160, 14975, 2000, 1996, 17306, 1012, 1999, 2386, 1998, 7408, 4371, 1013, 13814, 2499, 4876, 2362, 1010, 1998, 1999, 2386, 2130, 5561, 24739, 4487, 29055, 1006, 21999, 7601, 7103, 4263, 1010, 4487, 29055, 1011, 3109, 2386, 1052, 3211, 1007, 1999, 1996, 3865, 1012, 18520, 1010, 26774, 1010, 24188, 3406, 4246, 1010, 3123, 2375, 2020, 7079, 2485, 3086, 1010, 5525, 2510, 4454, 2534, 1997, 4476, 3748, 3021, 16012, 4114, 1996, 2149, 10398, 8120, 1999, 1996, 2510, 4454, 2534, 1997, 4476, 2004, 5756, 2372, 1997, 1996, 2771, 3650, 2263, 1012, 3383, 13184, 2275, 2039, 1996, 14247, 2028, 8040, 3286, 6562, 2241, 2006, 2023, 2817, 1029, 2149, 17306, 1012, 1006, 12022, 1012, 5890, 1010, 3339, 1007, 1012, 4327, 13184, 2000, 2022, 2236, 2961, 1010, 5285, 1012, 1022, 1010, 2053, 1012, 1019, 1012, 1996, 25812, 1012, 2347, 1521, 1056, 4586, 4181, 2551, 1999, 7359, 1029, 2001, 2023, 4292, 2039, 2008, 3169, 1029, 3849, 2061, 1012, 3475, 1521, 1056, 2023, 2035, 3350, 1997, 17800, 7505, 3726, 8591, 2075, 3032, 1999, 3521, 7292, 1029, 1038, 2290, 13184, 1027, 9900, 2236, 2508, 1041, 1012, 13184, 1010, 3003, 1521, 1055, 2034, 2472, 2040, 3107, 2149, 2000, 13814, 1012, 2909, 2520, 19789, 1010, 2329, 8645, 1523, 20014, 2890, 23267, 1524, 2040, 2109, 2010, 25755, 1523, 2994, 1011, 2369, 1524, 4454, 2897, 2000, 5323, 1996, 3595, 4707, 2090, 16794, 1006, 4297, 2140, 1012, 1039, 1012, 1045, 1012, 1037, 1012, 3910, 3021, 12729, 1007, 1010, 5912, 16696, 1010, 2888, 19913, 1006, 2166, 1010, 7280, 1010, 2998, 7203, 1007, 1010, 6787, 2011, 6396, 1998, 2414, 5085, 1006, 4297, 2140, 1012, 10654, 12618, 2015, 1516, 2280, 2472, 1997, 2061, 2063, 1007, 1998, 14870, 13058, 6525, 16774, 2015, 2085, 2170, 1996, 1523, 2784, 2110, 5192, 2231, 1012, 1524, 1999, 2263, 1010, 1996, 1057, 1012, 1055, 1012, 2510, 4454, 3650, 2315, 2909, 2520, 2019, 5756, 2266, 1517, 1996, 2069, 2329, 5000, 2412, 2909, 19789, 1010, 2520, 1012, 1006, 2263, 1007, 1012, 5756, 2372, 1997, 1996, 2771, 1031, 2510, 4454, 1033, 3650, 1010, 11570, 12022, 1012, 2260, 1010, 10476, 1012, 2510, 4454, 3650, 2534, 1997, 4476, 1012, 2520, 5212, 19789, 1010, 25325, 1012, 1006, 5553, 1012, 5890, 1012, 3386, 1007, 1012, 5000, 5065, 1010, 2047, 2095, 1521, 1055, 8762, 1010, 2053, 1012, 4029, 20842, 2575, 1010, 1052, 1012, 1016, 1012, 2414, 11391, 1012, 2888, 19913, 1027, 7298, 1024, 2166, 1010, 2998, 7203, 1010, 7280, 2005, 2216, 1997, 2017, 2008, 2066, 2000, 2031, 3929, 25331, 4617, 1997, 1996, 4311, 2013, 1996, 11963, 1024, 2745, 1041, 1012, 7570, 10524, 8838, 1012, 1006, 12022, 1012, 2340, 1010, 10476, 1007, 1012, 3237, 12654, 1010, 1037, 3319, 1997, 2536, 4506, 2011, 1996, 8495, 1998, 2079, 3501, 1999, 5083, 1997, 1996, 2355, 2602, 1012, 2533, 1997, 3425, 1012, 2023, 3602, 2013, 2019, 6614, 8068, 1024, 2048, 2420, 3283, 1045, 5720, 2007, 2019, 7423, 2040, 2275, 2039, 1037, 5653, 5428, 8737, 4070, 2074, 2000, 2031, 2009, 3844, 2157, 2067, 2091, 2153, 2306, 2847, 2005, 1523, 20084, 1524, 2037, 6043, 1012, 5653, 5428, 8737, 2001, 2025, 3563, 1012, 7483, 7673, 1055, 6866, 1037, 12117, 12326, 1997, 5653, 5428, 8737, 5517, 2027, 2079, 2025, 3499, 3424, 1011, 17404, 4180, 2006, 2037, 4132, 1998, 9776, 2014, 4070, 1997, 1018, 2086, 1012, 2651, 1045, 2363, 1037, 4471, 2013, 1037, 17404, 5161, 2177, 2008, 3071, 2006, 2918, 26468, 4282, 1998, 2037, 4070, 2003, 2036, 6731, 1998, 2027, 3685, 3229, 2037, 10373, 2862, 1012, 3568, 1010, 2065, 2017, 2024, 2478, 5653, 5428, 8737, 1045, 16755, 2017, 4530, 2673, 2017, 2024, 2725, 1998, 9167, 2115, 2862, 17306, 2361, 1012, 2320, 5653, 5428, 8737, 4487, 19150, 2015, 1996, 4070, 1010, 2017, 3685, 3229, 2115, 22028, 1012, 2009, 2097, 2025, 2022, 2146, 2077, 1996, 4013, 1011, 12436, 20348, 2545, 4608, 2006, 1998, 2707, 6016, 10821, 2000, 5653, 5428, 8737, 2006, 2035, 1997, 2256, 6115, 1012, 2027, 2071, 2202, 2041, 1015, 1013, 1016, 1997, 2149, 1999, 2074, 2028, 2154, 2200, 4089, 1012, 5987, 2023, 2000, 4148, 1998, 2191, 2067, 2039, 3488, 2157, 2085, 1010, 3225, 2007, 2893, 2008, 9167, 3031, 2115, 3274, 1012, 1045, 8343, 2009, 2003, 2069, 1037, 3043, 1997, 2051, 2077, 5377, 3967, 1998, 2500, 3582, 4848, 1012, 2256, 3433, 1024, 5653, 5428, 8737, 2001, 2318, 2011, 2016, 23320, 5472, 4059, 2015, 3129, 2040, 2351, 1999, 3290, 2006, 1037, 10885, 2013, 1037, 29449, 19912, 1523, 4926, 1524, 1999, 1037, 3309, 2002, 2347, 1521, 1056, 6595, 1999, 1012, 2031, 2017, 2042, 7079, 3086, 2000, 2023, 3204, 1521, 1055, 3102, 2862, 1024, 7864, 2011, 11320, 2615, 8029, 6979, 2497, 23352, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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 ]
[ 101, 5709, 1012, 2260, 1012, 2355, 2012, 2184, 1024, 4261, 1001, 17696, 2549, 7632, 1010, 7955, 999, 1045, 2572, 1999, 7512, 15286, 2349, 2000, 1037, 7823, 17243, 2386, 1521, 1055, 8715, 1012, 3053, 1018, 2706, 3283, 1010, 2026, 3129, 1998, 1045, 2253, 2000, 5924, 2000, 2424, 1037, 5969, 2450, 2000, 4287, 2256, 2775, 1012, 2057, 2031, 11925, 2195, 5969, 17865, 1998, 4900, 16012, 2618, 2595, 9006, 2000, 3066, 2007, 1012, 1045, 2018, 1037, 3313, 8605, 2044, 2256, 2034, 3942, 1012, 1996, 9349, 2003, 4350, 1999, 1037, 2235, 2797, 7330, 1012, 2049, 9873, 2024, 2467, 2058, 24375, 5732, 1012, 2045, 2020, 2312, 24240, 2015, 2000, 2169, 3460, 1521, 1055, 2436, 1012, 2057, 2018, 2000, 3524, 3053, 2048, 2847, 2077, 1996, 9349, 1521, 1055, 4505, 2777, 2149, 1012, 2026, 3129, 1998, 1045, 2134, 1056, 2066, 2009, 2200, 2172, 999, 999, 999, 999, 2043, 2057, 2356, 1996, 8911, 2339, 2057, 2018, 2000, 3524, 2061, 2146, 1010, 2016, 9449, 2149, 2000, 2272, 2178, 2154, 2030, 23363, 2178, 9349, 1012, 1045, 2228, 2009, 2001, 5186, 17727, 10893, 2618, 1012, 2026, 3129, 2359, 2000, 2681, 1996, 9349, 1010, 2021, 1045, 2356, 2032, 2000, 3524, 1012, 2633, 1010, 2043, 2057, 2777, 2256, 3208, 1998, 1996, 9349, 1521, 1055, 3460, 1010, 2027, 2134, 1521, 1056, 4025, 5379, 2593, 1012, 2027, 5720, 2200, 6246, 1012, 1997, 2607, 1010, 2057, 2134, 1056, 2066, 2035, 2122, 5312, 1998, 4694, 1056, 3201, 2000, 3696, 2039, 1037, 3206, 2007, 2023, 9349, 1012, 2085, 2057, 2024, 2012, 2188, 1998, 3241, 1997, 2256, 2256, 2582, 4084, 1012, 2013, 1996, 2028, 2192, 1010, 2045, 2020, 15665, 1997, 2477, 2057, 2134, 1056, 2066, 2055, 16012, 2618, 2595, 9006, 1012, 1999, 2060, 5969, 9349, 1996, 2477, 2020, 3243, 2367, 1012, 5186, 13205, 1998, 5379, 8911, 1010, 2200, 3305, 3085, 1998, 25353, 8737, 25457, 6774, 3460, 1998, 4064, 9349, 2534, 1012, 2045, 2020, 2053, 24240, 2015, 1998, 5005, 1012, 1996, 7224, 2003, 2200, 5475, 1998, 2130, 17115, 1012, 2003, 2045, 10334, 2182, 2040, 2038, 2525, 9411, 2007, 16012, 2618, 2595, 9006, 1998, 2003, 8524, 1006, 1996, 2171, 1997, 1996, 2060, 5969, 9349, 1007, 1029, 2064, 2017, 3745, 2115, 19221, 2007, 2033, 1029, 1045, 2097, 24986, 9120, 2673, 1024, 15774, 1010, 10247, 1010, 2166, 3441, 1012, 2184, 1012, 2260, 1012, 2355, 2012, 2324, 1024, 4008, 1001, 17696, 2629, 7632, 1010, 6203, 999, 1996, 2477, 2017, 1521, 2310, 4320, 1999, 2008, 9349, 2024, 9643, 1012, 2009, 1521, 1055, 2428, 12726, 1998, 17727, 10893, 2618, 2000, 2191, 5022, 3524, 1999, 1996, 24240, 1012, 1045, 3984, 16360, 23056, 17865, 2123, 1521, 1056, 7438, 2037, 7846, 2023, 2126, 1012, 2174, 1010, 2065, 2017, 1521, 2128, 2145, 4699, 1999, 2068, 1010, 2017, 2323, 4638, 1996, 2126, 2027, 7438, 7505, 3217, 12954, 2015, 1012, 2009, 1521, 1055, 1996, 3145, 2617, 1999, 10549, 2019, 6413, 17376, 9349, 1012, 2022, 17145, 1010, 6203, 999, 2538, 1012, 2260, 1012, 2355, 2012, 2459, 1024, 5511, 1001, 17696, 2620, 1996, 9349, 3253, 2149, 2000, 3696, 2039, 1037, 3206, 1012, 2429, 2000, 2023, 3206, 1010, 2027, 2202, 2035, 10198, 2005, 2635, 2729, 2044, 1996, 7505, 21799, 1012, 1996, 9349, 2097, 2507, 1037, 7505, 21799, 1037, 3056, 7680, 1997, 2769, 2000, 3477, 2014, 2542, 11727, 1012, 2009, 2097, 2036, 4425, 2014, 2007, 2035, 4072, 2966, 2729, 1012, 2296, 3204, 2016, 1521, 2222, 2031, 2000, 3942, 1996, 9349, 2000, 2079, 2019, 27312, 4638, 1012, 2035, 1996, 6959, 11727, 2097, 2022, 3825, 2011, 1996, 9349, 2205, 1012, 1999, 2553, 1997, 21371, 6959, 1010, 1996, 3336, 2097, 2022, 8127, 2007, 2035, 4072, 20992, 1012, 1037, 7505, 21799, 2097, 2036, 2131, 1037, 2966, 5427, 1012, 1999, 2553, 1997, 28616, 21539, 2030, 11324, 2044, 1996, 5940, 2733, 1010, 2016, 1521, 2222, 2131, 1037, 2769, 9430, 1012, 2656, 1012, 2260, 1012, 2355, 2012, 2324, 1024, 4749, 1001, 17696, 2683, 4165, 3835, 1010, 6203, 999, 2065, 2027, 2428, 7438, 1996, 7505, 21799, 1999, 2107, 2126, 1010, 2016, 5121, 4152, 2035, 4072, 2477, 2076, 2014, 10032, 1012, 2009, 1521, 1055, 2307, 3426, 7505, 3217, 12954, 2015, 2024, 2613, 7048, 1010, 1998, 2027, 2323, 2131, 1996, 2190, 2013, 1996, 2190, 1012, 6600, 1010, 1045, 2052, 2036, 2424, 2041, 3251, 1045, 1521, 2222, 2022, 2583, 2000, 2681, 5924, 1998, 4607, 2026, 3128, 2406, 2302, 3471, 1012, 2017, 2089, 2036, 23363, 2019, 4905, 2065, 4072, 1012, 2054, 2079, 2017, 2228, 2055, 2009, 1029, 3745, 2115, 4784, 2007, 2033, 1010, 3531, 2692, 2509, 1012, 5890, 1012, 2418, 2012, 2322, 1024, 5388, 1001, 29077, 2057, 1521, 2310, 4217, 5969, 9349, 2138, 5924, 2038, 2738, 11119, 7505, 3217, 3654, 5666, 4277, 1012, 7505, 3217, 3654, 5666, 2003, 3039, 2011, 1996, 5969, 4277, 1012, 1996, 3832, 3008, 2031, 1996, 2972, 2916, 2005, 1996, 3336, 1012, 2009, 2965, 1037, 7505, 21799, 2180, 1521, 1056, 2022, 2583, 2000, 4366, 2014, 2916, 2005, 1996, 3336, 1012, 2122, 2020, 1996, 2364, 4436, 2339, 2057, 1521, 2310, 4217, 16012, 2618, 2595, 9006, 2004, 2256, 2345, 7688, 1012, 2429, 2000, 1996, 3206, 2057, 2024, 2000, 3696, 2039, 1996, 9349, 1521, 1055, 4505, 2097, 6509, 2149, 1999, 2893, 1996, 3336, 1521, 1055, 4182, 8196, 1012, 2027, 2097, 2036, 2079, 2049, 5449, 1012, 2057, 1521, 2222, 2224, 2023, 3259, 2000, 2681, 5924, 1998, 4607, 2256, 2219, 2406, 1012, 2054, 2079, 2017, 2228, 2055, 2009, 1029, 5511, 1012, 5890, 1012, 2418, 2012, 2539, 1024, 4749, 1001, 2889, 1996, 5969, 7505, 3217, 3654, 5666, 4277, 2614, 2428, 8884, 1012, 2009, 1521, 1055, 2204, 2008, 2115, 3415, 2097, 2022, 2443, 2046, 1996, 3336, 1521, 1055, 4182, 8196, 1012, 1999, 2804, 1010, 1996, 9349, 2097, 2079, 1996, 5449, 1997, 1996, 4182, 8196, 1012, 2005, 2033, 1010, 2009, 4165, 2428, 18801, 1012, 6203, 1010, 2097, 2027, 3715, 2151, 3176, 9883, 2013, 2017, 2005, 2122, 2578, 1029, 1052, 1012, 1055, 1012, 1045, 2113, 2008, 17376, 17865, 2066, 2000, 3715, 3176, 9883, 2013, 2037, 7846, 1012, 2515, 16012, 2618, 2595, 9006, 2079, 1996, 2168, 1029, 2321, 1012, 5890, 1012, 2418, 2012, 2403, 1024, 3429, 1001, 22343, 2509, 1045, 2123, 1521, 1056, 2228, 2027, 1521, 2222, 3715, 2151, 3176, 9883, 2013, 2149, 1012, 2057, 1521, 2128, 2000, 3696, 2039, 1037, 3206, 2119, 2007, 1037, 7505, 21799, 1998, 1996, 9349, 1521, 1055, 4505, 1012, 2429, 2000, 1996, 3206, 1010, 1996, 9349, 5571, 2069, 1037, 4964, 7680, 1012, 2009, 2965, 2053, 3176, 9883, 2097, 2022, 5338, 2013, 2149, 1012, 1996, 7680, 2097, 2022, 4055, 2046, 2195, 18932, 2015, 1012, 2057, 2097, 2022, 2583, 2000, 2191, 1996, 10504, 2593, 1999, 5356, 2030, 3081, 1037, 2924, 4651, 1012, 2005, 2149, 1010, 2035, 2122, 2477, 2614, 2428, 18801, 1012, 2054, 2079, 2017, 2228, 2055, 2009, 1029, 2484, 1012, 5890, 1012, 2418, 2012, 2570, 1024, 4261, 1001, 22060, 2683, 1996, 2518, 2008, 2027, 2052, 3715, 2069, 1037, 4964, 7680, 1997, 2017, 1998, 2017, 2089, 2191, 1996, 10504, 2011, 2195, 16500, 2015, 2614, 2428, 2200, 18801, 1012, 1045, 2036, 2066, 1996, 2755, 2008, 2027, 2052, 3715, 2069, 1037, 4964, 7680, 1997, 2017, 1012, 2174, 1010, 2065, 2017, 2272, 2000, 5924, 1010, 2017, 2342, 2000, 10887, 1037, 2658, 3336, 28032, 3334, 1012, 2016, 2052, 2202, 2729, 1997, 2115, 2775, 2043, 2017, 1521, 2128, 2185, 1012, 2009, 2097, 2022, 3835, 2065, 2017, 2424, 1037, 2204, 23614, 2937, 1012, 20662, 10834, 2342, 2172, 2729, 1998, 3086, 2076, 2037, 2034, 2420, 1012, 2017, 2442, 2022, 6135, 2469, 2008, 2673, 2003, 7929, 2007, 2115, 3336, 1012, 2861, 1012, 5890, 1012, 2418, 2012, 2385, 1024, 4724, 1001, 27003, 2692, 1045, 3243, 5993, 2007, 2017, 15876, 2078, 1012, 6600, 1010, 1996, 9349, 2097, 2393, 2149, 6551, 2007, 1037, 3336, 2729, 1012, 2027, 1521, 2222, 3073, 2149, 2007, 2019, 7052, 3336, 28032, 3334, 1012, 2016, 2097, 2272, 2000, 2256, 2173, 3679, 1998, 2298, 2044, 1996, 2775, 1018, 2847, 1012, 1045, 2228, 2009, 2097, 2022, 2438, 2005, 2149, 2000, 3942, 1996, 8408, 1998, 7374, 2035, 4072, 4981, 2000, 2681, 1996, 2406, 1012, 1996, 3336, 2097, 2036, 2022, 7039, 2011, 1996, 7052, 23614, 2937, 3679, 1012, 2057, 2097, 2036, 2022, 2583, 2000, 3042, 1037, 2484, 1013, 1021, 2980, 4179, 1998, 23363, 2019, 2394, 4092, 23614, 2937, 2065, 2057, 2342, 2023, 1012, 1996, 3460, 2089, 2130, 2272, 2000, 2256, 2173, 1998, 4638, 1996, 3336, 1999, 13661, 3572, 1012, 5641, 1012, 6185, 1012, 2418, 2012, 2539, 1024, 4464, 1001, 28474, 2629, 7632, 1010, 2502, 22375, 999, 1045, 1521, 1049, 2036, 1999, 7512, 15286, 2349, 2000, 17243, 2386, 1521, 1055, 8715, 1012, 2026, 21183, 21608, 2003, 2440, 1997, 19962, 15937, 7951, 2061, 1045, 2064, 1521, 1056, 2131, 6875, 1012, 1045, 2018, 1037, 1044, 27268, 27360, 3597, 7685, 2195, 2335, 1010, 2021, 2026, 19962, 15937, 7951, 2411, 2234, 2067, 2200, 2855, 1012, 1045, 1521, 1049, 5458, 1997, 3403, 1010, 2061, 2057, 2787, 2000, 2424, 1037, 7505, 21799, 2040, 2097, 4287, 1998, 2507, 4182, 2000, 2256, 2775, 1012, 2502, 22375, 1010, 1045, 2052, 2066, 2000, 3198, 2017, 2129, 1996, 9349, 2097, 2941, 2424, 1037, 7505, 21799, 2005, 2017, 1029, 1052, 1012, 1055, 1012, 1045, 3198, 2017, 2107, 1037, 3160, 2138, 1045, 1521, 1049, 2036, 4699, 1999, 5969, 17376, 17865, 1012, 2260, 1012, 6185, 1012, 2418, 2012, 2459, 1024, 6021, 1001, 26231, 2581, 7632, 1010, 3959, 2100, 1012, 3835, 2000, 3113, 2017, 999, 1045, 2113, 2008, 2027, 2031, 1037, 7809, 1997, 1996, 2308, 2040, 5993, 2000, 2468, 7505, 21799, 2015, 1012, 1996, 2450, 2323, 2022, 7965, 2438, 2000, 9530, 3401, 3512, 1010, 4287, 1998, 2507, 4182, 2000, 1037, 2775, 1012, 2016, 2097, 2031, 2000, 3413, 1037, 8317, 5604, 2205, 1012, 2004, 1045, 2031, 2525, 2517, 1010, 1996, 9349, 1521, 1055, 4505, 2097, 4425, 1037, 7505, 21799, 2007, 2035, 4072, 2477, 2076, 2014, 10032, 1012, 2027, 2097, 2036, 4638, 3251, 2016, 5260, 1037, 7965, 9580, 1012, 9422, 1010, 5850, 1998, 6544, 3231, 2097, 2022, 2589, 7058, 1012, 1996, 9349, 1521, 1055, 4505, 2097, 3942, 1996, 2450, 2012, 2014, 2173, 1997, 5039, 4882, 2000, 4638, 2065, 2673, 2003, 7929, 2205, 1012, 2459, 1012, 6185, 1012, 2418, 2012, 2260, 1024, 5179, 1001, 4229, 18139, 1996, 2477, 2017, 1521, 2310, 2517, 1999, 2115, 4471, 2614, 7929, 1012, 2009, 1521, 1055, 3835, 2008, 2027, 2052, 4638, 3251, 1037, 7505, 21799, 5260, 1037, 7965, 9580, 1012, 2009, 1521, 1055, 2428, 2200, 2590, 2004, 2016, 2097, 4287, 1998, 2507, 4182, 2000, 2115, 2775, 1012, 15876, 2078, 1010, 2031, 2017, 2787, 2054, 2000, 2079, 2582, 1029, 2097, 2017, 3066, 2007, 2008, 9349, 1029, 1052, 1012, 1055, 1012, 1045, 1521, 2310, 3191, 2035, 2115, 8466, 1012, 1996, 9349, 3849, 2000, 2022, 3243, 7929, 1012, 2603, 1012, 6185, 1012, 2418, 2012, 2324, 1024, 6021, 1001, 27517, 2549, 1045, 3243, 5993, 2007, 2017, 1012, 2027, 3749, 1037, 2204, 7427, 1997, 2578, 1012, 1999, 2804, 1010, 2037, 7597, 4995, 1521, 1056, 2200, 2152, 1012, 2065, 2027, 2134, 1521, 1056, 2031, 2035, 2216, 2312, 24240, 2015, 1010, 2057, 2052, 3066, 2007, 2068, 1012, 2339, 2025, 1029, 3959, 2100, 1010, 2017, 1521, 2310, 2517, 1999, 2115, 2197, 2695, 2008, 1996, 9349, 2323, 4638, 1996, 7505, 21799, 1521, 1055, 9580, 1012, 1996, 4505, 1997, 1996, 9349, 2079, 2023, 1012, 2027, 2655, 2030, 3477, 1037, 3167, 3942, 2000, 1996, 7505, 21799, 2015, 2173, 1997, 5039, 2296, 2733, 2000, 4638, 2065, 2673, 2003, 7929, 1012, 1999, 2804, 1010, 1037, 7505, 21799, 7879, 1996, 9349, 7058, 1998, 2038, 2000, 2079, 5610, 1010, 6544, 1998, 4319, 5852, 1012, 1045, 2228, 2009, 1521, 1055, 3243, 2438, 2000, 4638, 3251, 2016, 5260, 1037, 7965, 9580, 2030, 2025, 1012, 5757, 1012, 6021, 1012, 2418, 2012, 4002, 1024, 3429, 1001, 4700, 20842, 1996, 2477, 2502, 22375, 2038, 2517, 2055, 16012, 2618, 2595, 9006, 2024, 2428, 2995, 1012, 2057, 1521, 2310, 2288, 19056, 2007, 2037, 2280, 5022, 1012, 16012, 2618, 2595, 9006, 2515, 2031, 15665, 1997, 7846, 1010, 2021, 2023, 2003, 3262, 2000, 1996, 2755, 2008, 2027, 1521, 2310, 3271, 15665, 6062, 2000, 2468, 3008, 1012, 2057, 2031, 2036, 2468, 2037, 5022, 2138, 2057, 2481, 1521, 1056, 2424, 1037, 2488, 2173, 2000, 3198, 2005, 2393, 1012, 2004, 2005, 1996, 7505, 21799, 2015, 1010, 2027, 2079, 2729, 2055, 2068, 2200, 2092, 1012, 2027, 2288, 2035, 4072, 2477, 2000, 2514, 6625, 2076, 10032, 1012, 2017, 2089, 3942, 2037, 2880, 4037, 1998, 3422, 1037, 2460, 2678, 2055, 2009, 1012, 2321, 1012, 6021, 1012, 2418, 2012, 5890, 1024, 5511, 1001, 4749, 19841, 7632, 1010, 7955, 999, 4283, 2005, 2115, 12247, 2015, 2055, 1996, 9349, 1012, 2057, 1521, 2310, 2036, 2787, 2000, 3066, 2007, 2068, 2004, 1996, 9349, 4107, 1037, 7505, 3217, 3654, 5666, 7427, 2005, 1037, 2200, 9608, 3976, 1012, 1045, 1521, 2310, 2741, 2068, 2019, 10373, 2195, 3134, 3283, 1012, 2057, 5720 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2024, 2017, 2206, 17218, 1999, 2115, 4740, 2000, 24702, 2204, 5404, 2012, 2188, 1029, 2065, 2017, 3477, 3086, 2000, 1996, 28616, 8663, 24422, 2015, 1045, 2018, 2017, 2453, 2022, 2583, 2000, 5335, 2115, 2279, 14108, 1012, 1045, 4384, 2008, 16005, 5404, 2012, 2188, 2003, 1037, 2843, 2066, 8434, 4596, 1998, 2017, 2089, 2022, 18896, 2011, 1996, 12319, 1012, 2017, 2064, 1000, 2061, 4817, 2039, 1000, 2070, 1997, 2026, 5404, 4695, 2004, 2092, 1012, 2292, 1005, 1055, 2298, 2012, 2129, 2500, 1998, 2870, 2031, 14180, 2039, 2188, 13578, 9328, 2007, 2122, 1022, 17218, 1024, 1015, 1012, 9344, 2007, 7815, 1998, 2300, 2003, 2204, 2438, 1012, 2023, 2003, 5121, 2003, 2025, 2995, 1012, 2188, 13578, 9328, 2038, 1037, 2843, 1997, 18723, 4725, 2061, 2004, 2025, 2000, 8970, 10327, 2008, 2453, 2191, 2008, 5835, 5510, 2919, 1012, 1045, 1005, 2310, 2124, 4088, 16912, 2008, 2031, 28516, 7690, 2037, 2034, 14108, 2138, 2027, 2134, 1005, 1056, 3582, 4084, 2000, 4652, 18701, 1012, 1045, 2018, 1037, 14108, 2008, 2921, 17952, 2075, 1998, 17952, 2075, 2044, 3098, 1996, 5835, 1012, 2044, 2470, 2006, 1996, 4773, 1010, 1045, 2001, 2599, 2000, 2903, 1045, 2018, 2070, 2785, 18701, 2920, 1012, 1045, 2018, 2178, 14108, 2008, 2001, 2442, 2100, 2030, 26729, 1012, 1045, 2085, 2224, 2026, 2187, 7840, 2732, 2624, 6381, 2013, 2044, 16005, 2000, 2061, 4817, 21290, 2015, 1010, 21183, 6132, 12146, 1998, 18911, 5728, 1012, 2048, 2030, 14992, 2420, 2077, 28516, 15073, 1045, 2175, 2083, 1037, 5402, 1997, 23060, 2100, 1011, 4550, 1998, 15544, 12325, 1010, 1038, 19738, 2818, 1998, 15544, 12325, 1012, 2320, 1999, 19511, 1010, 1045, 2089, 2061, 4817, 2026, 18911, 1999, 16787, 15270, 2000, 2131, 9436, 1997, 1996, 13853, 3857, 6279, 1012, 1006, 2156, 3025, 4443, 2007, 3861, 1997, 6081, 21290, 2108, 2218, 1007, 1012, 1045, 1005, 1049, 2025, 3038, 2017, 2031, 2000, 2022, 2023, 20001, 2007, 2115, 18723, 4725, 1010, 2021, 5323, 1037, 9410, 1998, 2156, 2065, 2009, 7659, 2091, 2006, 2115, 19450, 14108, 2229, 1012, 2017, 2876, 1005, 1056, 2681, 24575, 2006, 1996, 4675, 2005, 1037, 2878, 2154, 2077, 8434, 2009, 2052, 2017, 1029, 1016, 1012, 1045, 2123, 1005, 1056, 2031, 2000, 3582, 2035, 2122, 3513, 1012, 7955, 7807, 1996, 3513, 1012, 2065, 2017, 2123, 1005, 1056, 3338, 3513, 1045, 1005, 1049, 2469, 2017, 5060, 2500, 2012, 2115, 2147, 2173, 2008, 3338, 3513, 1012, 2017, 2123, 1005, 1056, 2031, 2000, 2298, 2205, 2521, 2000, 2424, 1996, 8431, 1012, 1045, 2147, 1999, 3036, 1998, 1045, 2156, 2009, 2035, 1996, 2051, 1012, 1045, 2113, 1997, 2070, 4088, 3678, 20007, 2008, 2134, 1005, 1056, 2113, 2129, 2000, 2562, 1996, 2422, 2125, 2037, 10768, 10867, 19304, 6470, 1012, 2404, 2115, 24702, 1999, 1996, 9346, 2030, 2130, 10236, 2009, 2039, 2007, 2019, 2214, 3940, 1997, 6312, 2096, 2009, 2003, 1999, 1996, 9346, 1012, 2008, 1005, 1055, 2054, 1045, 2079, 1012, 2224, 2829, 11015, 1012, 3422, 2041, 2005, 2665, 11015, 2138, 2009, 11082, 1996, 26299, 2422, 2083, 1012, 6343, 4122, 2000, 4392, 15315, 16814, 2100, 5404, 1012, 2043, 1045, 2134, 1005, 1056, 3582, 1996, 3513, 1997, 16005, 1045, 2288, 14747, 1997, 2019, 4748, 21579, 24446, 1012, 2202, 1996, 2051, 2000, 15544, 12325, 1996, 1038, 19738, 2818, 2125, 2065, 2017, 4550, 2007, 2008, 1012, 1012, 1045, 4342, 2008, 2017, 2123, 1005, 1056, 2131, 1037, 5572, 4524, 5510, 1010, 2029, 2003, 2004, 18886, 25997, 5666, 1010, 2043, 2017, 2707, 2000, 14171, 1996, 6887, 1997, 2115, 2300, 1012, 2070, 2188, 13578, 13777, 2015, 2453, 21090, 2007, 2033, 2006, 2023, 1024, 2562, 2115, 16137, 2232, 1011, 2041, 2104, 10894, 5445, 6904, 28362, 25311, 20175, 1998, 2115, 12403, 20800, 2300, 2104, 2008, 4860, 2004, 2092, 1012, 1017, 1012, 2026, 3507, 20007, 4036, 2033, 2035, 1045, 2342, 2000, 2113, 1012, 2017, 2089, 2031, 2042, 4036, 2011, 2070, 2060, 20007, 2030, 2115, 2334, 24702, 4425, 4497, 1998, 2008, 1005, 1055, 2986, 1012, 2096, 1996, 2034, 2731, 2001, 2204, 2005, 4088, 16912, 2017, 2064, 2131, 2488, 1998, 5335, 2115, 8122, 2007, 2115, 2279, 14108, 1011, 2009, 3463, 1999, 2488, 5510, 1012, 2026, 2034, 2465, 4036, 2033, 2000, 2131, 1996, 4860, 2000, 17696, 1010, 2202, 2009, 2125, 1996, 6402, 2121, 1998, 3104, 2009, 2005, 2184, 2781, 1012, 2044, 1996, 2184, 2781, 1010, 2202, 1996, 3104, 2125, 1010, 16130, 2009, 1010, 2173, 2009, 2067, 2006, 1996, 6402, 2121, 1998, 2202, 1996, 4860, 1012, 1045, 4384, 1996, 4860, 3333, 2058, 1023, 5445, 1998, 1045, 2347, 1005, 1056, 2130, 1999, 2008, 2846, 2682, 5018, 5445, 4902, 1012, 3737, 2003, 2590, 1998, 2009, 7126, 2017, 24702, 2488, 14108, 2229, 19059, 1012, 3046, 4363, 1996, 8962, 2006, 1996, 6402, 2121, 2012, 1996, 7290, 16247, 3684, 4292, 2076, 1996, 16137, 2232, 1010, 18385, 2296, 1015, 1011, 1016, 2781, 2096, 2017, 2562, 2009, 1999, 1996, 5018, 1005, 1055, 1012, 2065, 2009, 4152, 2205, 2980, 2202, 2009, 2125, 2005, 1016, 1011, 1017, 2781, 1010, 2145, 18385, 1998, 2635, 1996, 4860, 1012, 1045, 2074, 2224, 2026, 1996, 10867, 18721, 2000, 8217, 16130, 1996, 5404, 1998, 2059, 1045, 2123, 1005, 1056, 2031, 2000, 4139, 1996, 1996, 10867, 18721, 2041, 1012, 2023, 2003, 19059, 2004, 1045, 2123, 1005, 1056, 2031, 2000, 3524, 2000, 2131, 1037, 2204, 3752, 2013, 1996, 1996, 10867, 18721, 2044, 1045, 2018, 2766, 2009, 2041, 1012, 2087, 26929, 1999, 1996, 3829, 3046, 2000, 5335, 1037, 17974, 1012, 2027, 2123, 1005, 1056, 2788, 6293, 2007, 1996, 2168, 17974, 2005, 2086, 4983, 2027, 1005, 2310, 1056, 8545, 13808, 2094, 2009, 2000, 1996, 2190, 1012, 1018, 1012, 5599, 5404, 10768, 10867, 4765, 2936, 2323, 2191, 2009, 5510, 2488, 1012, 10166, 1010, 2023, 10661, 2288, 2033, 2046, 4390, 1012, 1045, 2018, 1037, 14108, 2008, 2001, 1999, 3078, 10768, 10867, 19304, 2005, 1037, 3204, 1998, 2059, 4015, 2009, 2000, 1037, 3905, 10768, 10867, 19304, 6258, 2005, 1017, 2706, 2062, 2077, 2108, 26071, 1012, 1045, 2481, 1005, 1056, 3243, 10782, 2054, 1996, 5510, 2001, 1010, 2021, 2009, 2001, 2919, 1012, 2009, 12595, 2066, 2242, 2090, 8903, 1010, 2442, 2100, 1010, 19747, 1010, 3384, 1998, 2060, 2125, 26389, 1012, 2096, 1045, 2196, 3294, 13332, 2008, 6547, 1010, 2009, 2071, 2031, 2042, 1037, 2193, 1997, 2477, 1012, 1045, 6310, 2026, 4725, 2000, 3013, 2091, 2006, 2122, 16005, 13436, 1012, 1045, 3013, 2026, 11112, 2300, 2007, 4487, 16643, 11001, 1010, 2288, 1996, 6887, 1997, 2026, 2300, 2157, 1010, 10882, 7096, 9250, 1996, 11970, 2013, 2026, 11112, 2300, 2007, 2300, 17736, 1998, 2921, 2039, 2007, 2204, 18723, 1012, 2292, 1996, 2034, 10768, 10867, 19304, 2175, 2005, 2069, 2184, 2420, 2077, 2017, 4651, 1996, 5404, 2000, 1996, 3905, 10768, 10867, 29110, 1012, 2123, 1005, 1056, 2292, 2115, 5404, 4133, 2006, 1996, 2168, 21957, 2005, 1037, 3204, 2066, 1045, 2106, 1012, 1019, 1012, 2515, 10984, 2428, 3043, 1029, 2023, 2003, 4876, 3141, 2000, 1996, 2280, 2391, 1045, 2081, 1012, 1045, 2134, 1005, 1056, 2292, 1037, 4030, 21957, 3926, 1998, 1045, 2018, 1037, 14108, 2008, 2921, 17952, 2075, 1998, 17952, 2075, 2004, 1045, 2441, 1996, 11015, 1012, 2065, 2115, 2482, 11097, 2003, 2145, 3228, 2125, 17255, 2044, 2184, 2420, 1010, 1996, 21957, 2089, 2022, 4030, 1012, 1045, 4342, 2008, 10984, 1998, 4860, 2024, 4876, 3141, 1999, 8434, 2004, 2092, 2004, 16005, 1012, 2202, 1996, 2051, 2000, 4553, 2339, 2009, 1005, 1055, 2204, 2000, 10768, 10867, 4765, 2005, 1021, 1011, 2184, 2420, 2077, 28516, 15073, 2030, 14391, 1996, 5404, 2000, 1996, 2279, 10768, 10867, 19304, 6258, 1012, 10984, 5609, 2005, 16137, 2232, 1010, 1996, 26077, 1010, 10768, 10867, 26951, 1998, 2474, 4590, 2075, 2004, 2092, 1012, 2065, 2017, 8670, 3489, 14629, 1010, 10984, 5609, 2007, 3649, 4860, 2017, 5454, 2005, 1996, 17428, 1012, 1020, 1012, 10334, 2064, 5466, 1037, 17974, 2362, 1012, 2023, 3475, 1005, 1056, 24799, 2053, 26156, 16220, 10624, 2571, 2108, 2081, 1999, 2188, 5543, 2465, 2011, 2690, 2082, 2493, 1012, 1006, 1045, 2123, 1005, 1056, 2130, 2113, 2065, 2027, 6570, 2023, 1999, 2816, 4902, 1010, 2021, 2027, 2106, 2043, 1045, 2253, 2000, 2082, 1012, 1045, 1005, 1049, 2074, 2667, 2000, 2191, 1037, 2391, 2182, 2008, 5404, 3475, 1005, 1056, 2242, 2017, 2074, 3432, 5466, 2362, 1012, 1007, 1045, 14180, 2039, 1037, 8040, 18663, 15185, 3771, 14108, 2043, 1045, 2794, 2126, 2205, 2172, 2304, 7353, 15451, 2102, 1011, 2009, 2001, 2035, 1045, 2071, 5510, 999, 3319, 2115, 12760, 3784, 2000, 2156, 1996, 6749, 7017, 2008, 2323, 2022, 2794, 2000, 2115, 17974, 1012, 2017, 2064, 10083, 1037, 14108, 2138, 1997, 2205, 2172, 1997, 2028, 2518, 1012, 11712, 5609, 1012, 11744, 2008, 5271, 15451, 3215, 2097, 2823, 2507, 2017, 1996, 6749, 3815, 2005, 2115, 2279, 14108, 1012, 2064, 2017, 2228, 1997, 2619, 2008, 2794, 2205, 2172, 1997, 2242, 2000, 1037, 4596, 1998, 3342, 2129, 2919, 2009, 12595, 1029, 1021, 1012, 5404, 5464, 2064, 2424, 1037, 2204, 5404, 1012, 2017, 1005, 2310, 2464, 2216, 10385, 2027, 2031, 2006, 1996, 15475, 2000, 4635, 5404, 2012, 2115, 2334, 2283, 3573, 2030, 13025, 1012, 2008, 1005, 1055, 2204, 2000, 2070, 6698, 1010, 2021, 2065, 2017, 2024, 4995, 1005, 1056, 2066, 7955, 2842, 2017, 2089, 2025, 2066, 2019, 24531, 1012, 7955, 2038, 2367, 5510, 26734, 1998, 5510, 2003, 2785, 1997, 20714, 1012, 2026, 2564, 1998, 1045, 2097, 21090, 2006, 2054, 2003, 2205, 4086, 1010, 23592, 1010, 2030, 8618, 1012, 10385, 2089, 2272, 2013, 1037, 3484, 1997, 2111, 1010, 2021, 2009, 2089, 2025, 2022, 2000, 2115, 16663, 1012, 1045, 2018, 3191, 2320, 2008, 3071, 1005, 1055, 2159, 2024, 2035, 2367, 1998, 2089, 2156, 6087, 11543, 1012, 1045, 2228, 5510, 2453, 2022, 1996, 2168, 1010, 6168, 1010, 2070, 2111, 2031, 1037, 2488, 13986, 2005, 24531, 1005, 1055, 2138, 2027, 2064, 1005, 1056, 5510, 1996, 22364, 2066, 2500, 2064, 1012, 2672, 1010, 2065, 1045, 6402, 2026, 4416, 2006, 2980, 4157, 2062, 2097, 1045, 9544, 2062, 24531, 1005, 1055, 1029, 2065, 1037, 2193, 1997, 2111, 4635, 1037, 2188, 13578, 2860, 5404, 2030, 17974, 2004, 1996, 4602, 2987, 1005, 1056, 2812, 1045, 2097, 2066, 2009, 1012, 2074, 2138, 1996, 3484, 4122, 23827, 2006, 1037, 10733, 2987, 1005, 1056, 2812, 2008, 1045, 2097, 2066, 2008, 2593, 1012, 2123, 1005, 1056, 3582, 1996, 11678, 1012, 6293, 2039, 2005, 2054, 2017, 2215, 1999, 2204, 5404, 1012, 2017, 2113, 2054, 2017, 2066, 2013, 1996, 3573, 1011, 24702, 2008, 1012, 2017, 2097, 2069, 9038, 2009, 2065, 2017, 7887, 24702, 5404, 2008, 2060, 2111, 2215, 1012, 1045, 2123, 1005, 1056, 24702, 1996, 2785, 1997, 5404, 2008, 2026, 2564, 2453, 9544, 1011, 1045, 24702, 2429, 2000, 2026, 16958, 1012, 1022, 1012, 5404, 7885, 2024, 2108, 2699, 1998, 7718, 1999, 2591, 2865, 1998, 23012, 1011, 2057, 2064, 2224, 2122, 2000, 4553, 2011, 1012, 2748, 1998, 2053, 1012, 3728, 1010, 1996, 9927, 7987, 18845, 28793, 10536, 2405, 2019, 4443, 2012, 2023, 4957, 1024, 2023, 2592, 2001, 2130, 2956, 1999, 24702, 2115, 2219, 2932, 1024, 3191, 1996, 9927, 2030, 4965, 1996, 2932, 2012, 2115, 2334, 24702, 4497, 1012, 1045, 2499, 2004, 1037, 6845, 16661, 1998, 7718, 26166, 2005, 1037, 2092, 2124, 3514, 2194, 1012, 1045, 12984, 1010, 10619, 1010, 19209, 1998, 5296, 26166, 2069, 2000, 8145, 19503, 1997, 2951, 2101, 2005, 6145, 1012, 1045, 2113, 2951, 2064, 2991, 2648, 1996, 4330, 7774, 2007, 3616, 2008, 2123, 1005, 1056, 5587, 2039, 1012, 1996, 7987, 18845, 28793, 10536, 9927, 2003, 2951, 2008, 2089, 2022, 3278, 2000, 2256, 2188, 13578, 9328, 1010, 2021, 2127, 2045, 2024, 2062, 7885, 2057, 2064, 1005, 1056, 2113, 2065, 2023, 2003, 9398, 2005, 2035, 17588, 1012, 2064, 2057, 5860, 4232, 1996, 2801, 2008, 1037, 3020, 4860, 16137, 2232, 3475, 1005, 1056, 2008, 2172, 2367, 2013, 1037, 2659, 4860, 2028, 1029, 1045, 2064, 1005, 1056, 2425, 2017, 2129, 2116, 2335, 1045, 2253, 2041, 2000, 1996, 4274, 27388, 2000, 2424, 1037, 2047, 2801, 2005, 8434, 6763, 2069, 2000, 2424, 2041, 1996, 3166, 2001, 2440, 1997, 2009, 999, 2065, 2017, 2428, 2215, 2307, 13501, 6763, 2017, 2123, 1005, 1056, 5587, 9781, 2732, 2818, 2030, 14557, 2732, 2818, 2000, 2068, 1012, 13501, 6763, 5510, 2204, 2043, 2017, 5587, 3056, 8310, 1997, 2431, 1004, 2431, 2030, 5810, 10930, 27390, 2102, 2000, 2068, 1012, 2672, 1010, 2057, 2024, 2067, 2000, 1996, 5510, 26734, 3277, 2153, 1998, 2009, 2089, 2022, 1037, 20714, 12157, 2008, 3084, 2028, 2711, 2367, 2013, 1996, 2279, 1012, 2227, 2009, 1010, 2070, 4268, 2066, 2000, 4521, 11772, 6168, 2070, 4268, 2066, 2000, 4521, 7967, 2062, 1012, 2026, 13723, 3678, 15536, 2229, 2078, 17598, 2026, 2197, 14108, 1997, 15536, 2229, 2078, 17598, 2253, 2007, 1996, 2168, 15451, 3215, 1997, 2601, 7469, 1998, 2446, 14255, 4877, 3678, 2004, 2077, 1012, 1045, 1005, 1049, 2667, 2000, 2131, 1996, 3609, 2157, 2004, 1045, 2377, 2007, 2055, 1021, 1011, 2410, 1003, 2601 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3185, 6820, 23858, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1033, 2489, 8816, 1064, 1999, 1016, 4084, 3357, 1016, 1024, 8816, 3185, 6820, 23858, 1031, 3784, 3185, 10439, 1033, 1999, 7861, 20350, 1012, 1031, 2083, 3945, 3347, 2030, 3622, 8816, 2013, 2182, 1033, 1064, 2085, 3422, 6745, 3784, 5691, 2006, 2115, 15363, 1012, 3185, 6820, 23858, 2005, 7473, 3645, 2184, 1013, 1022, 1013, 1021, 2489, 8816, 1012, 2377, 3185, 6820, 23858, 2006, 7473, 1006, 12191, 1004, 6097, 1007, 2007, 7861, 20350, 1516, 1031, 1016, 4084, 5009, 1516, 2531, 1003, 2551, 1033, 1012, 3422, 3784, 6745, 3185, 2182, 999, 3185, 6820, 23858, 1516, 3422, 3784, 2440, 5691, 1024, 3185, 6820, 23858, 10439, 8816, 1024, 2023, 4646, 2003, 3832, 2000, 3066, 2007, 1037, 7215, 1997, 5691, 1012, 2017, 2064, 2025, 8816, 2030, 3422, 3152, 2007, 1012, 2026, 5691, 2005, 11924, 12939, 2017, 2000, 3422, 6745, 3784, 5691, 2800, 1999, 4966, 1521, 1055, 1010, 14819, 4710, 1998, 10751, 4966, 1999, 2536, 3741, 1012, 2006, 1996, 2125, 3382, 2008, 12012, 2024, 2025, 2680, 1010, 2017, 2064, 3189, 2009, 1998, 2027, 2097, 2022, 2081, 2503, 4466, 2847, 1010, 2019, 3447, 2017, 2180, 1521, 1056, 7523, 2151, 24759, 10732, 2842, 1012, 1996, 4646, 2003, 5301, 2005, 3526, 11640, 1998, 17596, 1010, 2164, 1037, 2561, 8278, 2005, 6097, 1006, 13855, 1007, 1012, 2026, 5691, 2005, 11924, 2489, 14358, 2229, 1996, 5691, 2026, 4646, 2005, 11924, 4013, 2489, 1010, 2009, 2038, 2296, 2028, 1997, 1996, 11637, 1997, 1996, 11268, 2953, 2213, 2664, 2003, 7775, 2000, 2753, 5691, 1998, 2184, 7545, 2055, 2752, 1051, 1998, 4367, 3861, 21389, 1012, 3185, 6820, 23858, 7473, 8816, 1024, 2026, 5691, 2005, 11924, 2064, 2022, 12550, 2004, 2019, 2981, 8875, 2011, 2164, 4367, 4620, 2011, 2037, 26221, 6415, 2030, 4486, 2030, 16462, 2009, 2004, 1037, 8013, 1997, 2026, 5691, 2005, 3645, 2030, 6097, 9808, 1060, 2000, 2562, 2115, 25549, 7215, 1012, 2026, 5691, 2005, 11924, 5942, 1037, 7396, 4070, 1012, 2115, 20299, 2097, 3926, 2115, 2501, 2256, 3784, 14903, 1010, 2023, 2003, 1996, 2518, 2008, 12939, 2017, 2000, 6942, 2090, 2536, 6304, 2096, 2196, 3974, 2115, 2592, 1012, 2057, 2031, 7661, 5097, 2005, 11924, 1010, 18059, 1010, 25249, 1010, 6097, 9808, 1060, 1998, 3645, 1012, 1999, 1996, 2724, 2008, 2017, 2024, 6970, 7011, 6129, 2007, 1037, 2783, 2026, 5691, 4070, 1010, 2115, 2556, 7215, 2097, 8100, 2022, 25549, 2000, 2115, 11721, 24291, 1012, 2017, 2064, 2503, 1996, 2565, 17820, 1037, 2609, 2000, 2404, 2115, 20299, 2006, 1996, 4773, 1010, 2017, 2064, 4604, 2000, 2115, 3866, 3924, 1037, 4434, 2000, 2023, 4037, 1010, 2029, 12939, 2068, 2000, 7304, 3366, 2115, 2878, 7215, 1012, 3185, 6820, 23858, 2005, 6097, 1024, 2065, 2017, 2031, 2019, 3277, 2030, 1037, 12832, 1012, 2057, 2064, 2025, 9585, 2017, 2000, 2202, 2729, 1997, 2019, 3277, 1999, 1996, 2724, 2008, 2017, 2074, 2681, 1037, 17674, 2006, 1996, 11924, 3006, 1012, 1996, 3737, 1998, 26261, 17190, 2791, 1997, 1996, 4646, 2003, 2256, 2342, 1998, 2057, 2097, 11361, 6509, 2017, 2007, 2151, 3314, 2017, 2089, 3325, 1012, 3185, 6820, 23858, 2060, 2838, 1024, 3853, 6556, 2491, 3645, 2865, 2415, 1998, 21643, 3298, 1012, 5587, 3152, 2011, 16367, 6415, 1010, 2516, 1010, 6410, 4325, 2030, 26221, 1012, 2968, 1997, 21403, 1006, 8679, 1010, 2734, 1010, 12019, 1007, 2275, 4965, 2685, 1997, 3037, 1006, 3643, 1010, 2173, 1998, 2008, 1521, 1055, 2074, 1996, 2927, 1007, 1012, 10651, 16984, 6337, 2000, 12530, 8231, 2038, 1996, 6745, 2592, 1012, 3189, 12012, 2025, 2680, 2007, 1996, 3125, 2008, 2027, 2024, 2081, 1012, 3189, 3308, 2592, 2006, 1996, 2125, 3382, 2008, 2017, 7523, 1037, 6707, 1999, 2256, 7809, 1012, 3347, 16044, 26221, 2007, 6581, 4800, 1011, 4638, 2147, 1012, 7661, 4697, 2951, 1010, 2181, 1010, 10873, 1010, 3964, 1010, 5790, 1998, 2008, 1521, 1055, 2074, 1996, 2927, 1012, 8312, 2808, 16001, 2546, 1010, 2448, 7698, 2030, 3104, 12314, 1012, 6851, 2951, 2007, 10061, 1010, 3459, 1010, 24245, 1010, 4942, 27430, 1998, 12381, 2062, 1012, 9530, 8873, 27390, 2063, 7565, 1997, 2867, 1006, 2184, 1010, 2322, 1010, 2382, 2030, 2035, 1007, 1012, 6971, 2000, 10047, 18939, 1012, 3104, 1996, 2392, 1998, 2067, 2152, 10250, 12322, 2890, 1012, 3422, 4367, 4620, 21389, 1012, 3945, 1996, 20299, 1012, 3674, 19018, 9804, 1012, 3935, 22910, 1012, 8346, 2007, 9130, 1012, 18643, 7711, 1012, 6721, 9128, 2011, 5513, 1996, 5080, 1012, 4604, 1037, 2448, 7698, 1997, 2115, 20299, 2011, 10373, 2000, 19067, 2102, 2030, 20116, 2615, 1012, 6133, 6495, 2143, 1012, 3347, 21628, 2007, 19552, 2075, 2516, 1998, 1013, 2030, 3265, 1012, 2930, 3265, 2007, 7008, 1010, 6115, 1998, 2037, 3033, 1012, 2930, 16189, 1997, 1996, 4966, 1998, 14154, 1011, 7504, 2746, 1012, 2224, 2168, 20299, 2006, 3365, 11721, 28682, 2007, 16984, 3784, 14171, 1012, 12180, 1010, 13873, 1010, 15181, 6810, 1010, 11267, 1010, 26428, 1010, 13329, 2072, 1010, 18388, 1010, 23418, 1010, 21045, 2050, 1010, 17498, 1010, 12454, 1010, 2394, 1010, 6008, 1010, 9269, 1010, 12998, 2006, 3185, 6820, 23858, 11924, 10439, 1012, 2129, 2000, 8816, 1523, 3185, 6820, 23858, 1524, 2006, 7473, 1006, 3645, 1021, 1013, 3645, 1022, 1013, 3645, 2184, 1516, 1031, 3185, 6820, 23858, 9706, 2243, 2005, 11924, 1033, 3185, 6820, 23858, 8816, 9706, 2243, 2005, 11924, 1024, 3185, 6820, 23858, 8816, 1024, 4957, 2327, 1020, 2190, 11924, 2399, 10476, 1011, 2154, 23890, 9489, 8816, 2005, 7473, 1516, 1006, 3645, 1021, 1013, 1022, 1013, 2184, 1013, 6097, 1007, 1011, 2396, 1997, 2162, 1017, 2489, 8816, 2005, 7473, 1006, 3645, 1013, 6097, 1007, 1011, 9047, 2290, 4684, 2208, 2005, 7473, 1006, 2663, 1022, 1013, 2184, 1013, 6097, 1007, 1516, 2489, 8816, 1011, 3481, 3490, 2618, 4684, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1033, 1516, 2489, 8816, 1011, 19794, 2005, 7473, 1006, 3645, 2184, 1004, 6097, 1007, 1516, 2489, 8816, 1011, 4767, 1058, 2005, 7473, 1031, 3645, 1013, 6097, 1033, 1516, 2489, 8816, 1011, 2392, 4179, 15054, 1024, 1040, 2154, 2005, 7473, 1006, 3645, 1007, 1516, 8816, 1011, 2665, 3888, 1017, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1033, 1516, 2489, 8816, 2327, 2340, 2190, 11924, 18726, 10476, 1011, 10439, 10258, 7646, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 9706, 2243, 1033, 1516, 8816, 1011, 28177, 2063, 6047, 12997, 9189, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 9706, 2243, 1033, 1516, 8816, 1011, 14841, 2243, 2000, 2243, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 9706, 2243, 1033, 1516, 8816, 2030, 14841, 2243, 2000, 2243, 2005, 7473, 1031, 3645, 2184, 1004, 6097, 1033, 1516, 2489, 8816, 1011, 2702, 13013, 10355, 8937, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1033, 1516, 8816, 1011, 5371, 13767, 2098, 2005, 7473, 1006, 3645, 2184, 1013, 1021, 1064, 6097, 1007, 1516, 2489, 8816, 1011, 3850, 7163, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1033, 1516, 2489, 8816, 1011, 3185, 6820, 23858, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 9706, 2243, 1033, 1516, 8816, 1011, 2006, 5302, 25929, 10439, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 9706, 2243, 1033, 1516, 8816, 1011, 8224, 18546, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 9706, 2243, 1033, 1516, 8816, 1011, 3407, 16913, 2005, 7473, 1031, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 6097, 1033, 1516, 8816, 1011, 2978, 15509, 2005, 7473, 3645, 2184, 1013, 1022, 1013, 1021, 1004, 6097, 1064, 8816, 6749, 5906, 2000, 2377, 1523, 3185, 6820, 23858, 10439, 1524, 2006, 7473, 1011, 2332, 3217, 4140, 1024, 2023, 2003, 1037, 7117, 6994, 2005, 11924, 5733, 1012, 1064, 4957, 1011, 5341, 8983, 2121, 1024, 2023, 2003, 1037, 6994, 2000, 19933, 10439, 6656, 2015, 1012, 1064, 4957, 1011, 8275, 14658, 4013, 1024, 2023, 6994, 2003, 2000, 5342, 2115, 3295, 1012, 1996, 2658, 2544, 2003, 2800, 2012, 1002, 1019, 2006, 1996, 8224, 2377, 3573, 1012, 1064, 4957, 1028, 1028, 3189, 2023, 3720, 1026, 1026, 2008, 1521, 1055, 2339, 2017, 2064, 8816, 2489, 2544, 2013, 2917, 999, 2017, 2064, 2145, 2424, 1996, 9706, 2243, 5371, 2005, 2489, 1024, 2021, 2025, 16755, 3085, 1012, 1064, 4957, 2129, 2000, 8816, 1523, 3185, 6820, 23858, 10439, 1524, 2006, 7473, 1006, 3645, 1021, 1013, 1022, 1013, 2184, 1013, 1022, 1012, 1015, 1013, 26726, 1013, 12191, 1013, 15363, 1007, 2129, 2000, 8816, 1523, 3185, 6820, 23858, 1524, 2006, 7473, 1006, 3645, 1007, 1516, 3733, 5009, 2377, 1523, 3185, 6820, 23858, 1524, 2006, 7473, 1006, 3645, 1004, 12191, 1007, 3432, 4060, 2151, 1997, 1996, 7861, 20350, 2015, 2013, 6971, 2917, 6749, 1028, 5132, 2696, 10603, 1006, 4957, 2917, 1007, 8816, 1064, 4957, 15955, 2005, 5132, 2696, 10603, 8816, 1004, 16500, 2448, 2332, 3217, 4140, 23569, 27605, 4371, 2009, 1521, 1055, 4292, 2011, 22042, 2006, 3036, 6462, 1004, 2485, 2009, 999, 8816, 1004, 16500, 5341, 8983, 2121, 2000, 2377, 3185, 6820, 23858, 2448, 5341, 8983, 2121, 2503, 5341, 8983, 2121, 1010, 2175, 2000, 14591, 1004, 16500, 1010, 2059, 2132, 2000, 17371, 1011, 4003, 1028, 1028, 3645, 1028, 1028, 18667, 3215, 8167, 2098, 10371, 2121, 1012, 2054, 2017, 2031, 2000, 2079, 2003, 2000, 7276, 1996, 9706, 2243, 5371, 2005, 8275, 21600, 2015, 1998, 16500, 2004, 1037, 2291, 10439, 1012, 12210, 2748, 2000, 16500, 1012, 4638, 2115, 3295, 10906, 2096, 2478, 5132, 2696, 10603, 1010, 11562, 1996, 2522, 2290, 22920, 1004, 7276, 10906, 1012, 2175, 2000, 3295, 1010, 1998, 2275, 1996, 5549, 2000, 2152, 10640, 1012, 2151, 3645, 14658, 2326, 3791, 2000, 2022, 9776, 2004, 2009, 2064, 3443, 6752, 2007, 5132, 2696, 10603, 7861, 20350, 1012, 1999, 3645, 2184, 1010, 2811, 1031, 3645, 3145, 1009, 1045, 1033, 2000, 4607, 1996, 10906, 10439, 1010, 2059, 2132, 2000, 9394, 1028, 3295, 1998, 1996, 3295, 2005, 2023, 5080, 2003, 2275, 2000, 2022, 2125, 1012, 13460, 23416, 2075, 10247, 2005, 1523, 3185, 6820, 23858, 1524, 1999, 3645, 2184, 1013, 1022, 1013, 1021, 1010, 2191, 2469, 2008, 1996, 3295, 2005, 2023, 5080, 2003, 2125, 1012, 1999, 8275, 21600, 2015, 1010, 6739, 5549, 2323, 2022, 9124, 1012, 1999, 3295, 10906, 1010, 28667, 2239, 27972, 2008, 8224, 3295, 2381, 2003, 2125, 1998, 5549, 2003, 2275, 2012, 2152, 10640, 1012, 4888, 8275, 21600, 2015, 1998, 3693, 1037, 2047, 8275, 3295, 1012, 2224, 1037, 3295, 2017, 2031, 4716, 2525, 2006, 2115, 11924, 2030, 16380, 5080, 1012, 23818, 5132, 2696, 10603, 1998, 3046, 2153, 1012, 2190, 5310, 3325, 1999, 1031, 3185, 6820, 23858, 1033, 9160, 1013, 12202, 11486, 1024, 1523, 3185, 6820, 23858, 1524, 2005, 7473, 2525, 2104, 27915, 2115, 2087, 3866, 10439, 24647, 21257, 2035, 1996, 7070, 7711, 2005, 1996, 10439, 2064, 2147, 2485, 2011, 2115, 4684, 1031, 5080, 1033, 1998, 2115, 7473, 11486, 4800, 1011, 3967, 2491, 8945, 29576, 1024, 2035, 5557, 9808, 5097, 2024, 1043, 12541, 2891, 26461, 2491, 10059, 1012, 2202, 1996, 10439, 2151, 24759, 10732, 1998, 3961, 1999, 2491, 2007, 2115, 4684, 999, 25430, 15457, 1010, 11112, 1998, 17010, 2035, 2017, 2342, 999, 3526, 3042, 2004, 6569, 21354, 1024, 8816, 1996, 2367, 4646, 2000, 2491, 3185, 6820, 23858, 3784, 11058, 10439, 2062, 2084, 2412, 999, 2147, 2181, 5245, 26828, 2015, 1024, 2131, 1996, 2087, 3522, 5060, 29034, 2746, 3442, 2013, 8224, 2377, 2130, 2096, 2652, 2006, 2892, 1011, 2754, 5549, 1012, 6145, 1521, 9130, 8945, 29576, 1024, 2288, 2151, 27050, 1029, 5482, 2083, 9130, 1998, 2131, 5377, 2393, 1998, 2951, 2013, 5557, 1521, 1055, 7772, 2177, 1012, 3143, 2035, 8795, 2015, 2330, 2334, 5371, 2291, 1006, 11924, 1007, 1024, 4888, 2115, 4684, 5097, 2007, 2023, 6922, 1012, 6112, 3828, 3444, 1006, 11924, 1007, 1024, 2131, 5391, 3238, 3977, 2061, 2017, 2196, 2153, 5478, 2000, 22505, 5097, 1999, 2115, 11721, 24291, 1012, 4646, 2674, 2039, 2000, 4684, 1012, 2035, 1996, 16891, 10906, 1010, 5083, 1010, 1999, 1011, 4646, 23311, 2024, 25549, 2000, 2115, 4684, 2030, 7473, 2012, 3649, 2391, 2017, 5478, 2068, 1012, 5100, 4950, 1998, 15545, 1024, 14570, 2062, 2007, 5557, 22943, 1012, 5658, 5097, 2007, 1996, 24655, 22686, 1998, 4950, 8945, 29576, 1012, 4888, 1523, 3185, 6820, 23858, 1524, 2006, 7473, 2247, 2007, 2115, 21672, 3447, 1010, 4274, 1011, 2241, 2166, 1998, 9982, 22552, 5097, 1012, 8224, 2377, 3573, 1012, 2035, 1996, 5097, 1004, 2399, 2024, 2800, 2012, 8224, 2377, 3573, 999, 3325, 8080, 1006, 15363, 1007, 3645, 1021, 1013, 1022, 1998, 6097, 9808, 2595, 3977, 1012, 5557, 9808, 2573, 2007, 2151, 2147, 2181, 2565, 1998, 26351, 8093, 10698, 11254, 2673, 2842, 4919, 2000, 1996, 2330, 4730, 4646, 1012, 2440, 11924, 5310, 8278, 1012, 2005, 2035, 7848, 2015, 1998, 5682, 8556, 2115, 11924, 11721, 28682, 8278, 1999, 1037, 9839, 7046, 3898, 2005, 2019, 6034, 10439, 7781, 1012, 2330, 23296, 8051 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3316, 1013, 2233, 2760, 7939, 19058, 2100, 14163, 25226, 5003, 9521, 2001, 13487, 2007, 23659, 7304, 2213, 2566, 6979, 17681, 1010, 1996, 2110, 1011, 3079, 13116, 2194, 2008, 9020, 1017, 1012, 1021, 2454, 9076, 1997, 3224, 1012, 2641, 2011, 2116, 2000, 2022, 2074, 1037, 23131, 1010, 2002, 2038, 3488, 2000, 2689, 1996, 5971, 3226, 1998, 2191, 1996, 2194, 1037, 9084, 3112, 1012, 2002, 5720, 2000, 3449, 5332, 2094, 4995, 7265, 1997, 7595, 15396, 1012, 2043, 2110, 1011, 3079, 9926, 2704, 15544, 3490, 2061, 14545, 19139, 2356, 7939, 19058, 2100, 14163, 25226, 5003, 9521, 2000, 2202, 2058, 1996, 2770, 1997, 7304, 2213, 2566, 6979, 17681, 1999, 2257, 2355, 1010, 2002, 3651, 2023, 2001, 2025, 2183, 2000, 2022, 2074, 1037, 27244, 2083, 1996, 2194, 1521, 1055, 25145, 7227, 8707, 1012, 2096, 2641, 2205, 2402, 2005, 1996, 3105, 2011, 2116, 1010, 7939, 19058, 2100, 2716, 7564, 1997, 3325, 2000, 1996, 4708, 1012, 2141, 1999, 3000, 1999, 3411, 1010, 2002, 2001, 4112, 2177, 3361, 2961, 2012, 13866, 4440, 4904, 2527, 12943, 3217, 2566, 3736, 2850, 2077, 2002, 2081, 1996, 2693, 2000, 2566, 6979, 17681, 1012, 2002, 2038, 2019, 15038, 2013, 1996, 2118, 1997, 5374, 1998, 1037, 3040, 1999, 2449, 2375, 2013, 2316, 5575, 1521, 1055, 11687, 27875, 16084, 2319, 2118, 1012, 2045, 2001, 2053, 15843, 1997, 7860, 1012, 2034, 2001, 1996, 2194, 1521, 1055, 5703, 7123, 1010, 2007, 1037, 3279, 1997, 1054, 2361, 19481, 2581, 4551, 1999, 2355, 1012, 1523, 2043, 1045, 2318, 1010, 2566, 6979, 17681, 1521, 1055, 1006, 3296, 1007, 5356, 4834, 2001, 2105, 1054, 2361, 28332, 4551, 1010, 1997, 2029, 1054, 2361, 18613, 4551, 2001, 2734, 2000, 3477, 2055, 2538, 1010, 2199, 5126, 1012, 2059, 2057, 2145, 2018, 2000, 5446, 1996, 2194, 1005, 1055, 3136, 1998, 2060, 5366, 1010, 1524, 2002, 17722, 1012, 2096, 2116, 2453, 2031, 2042, 14777, 2011, 1996, 4708, 1997, 2667, 2000, 2191, 4515, 3113, 1010, 7939, 19058, 2100, 2036, 2387, 6695, 1012, 1996, 2194, 2038, 3278, 7045, 1024, 2009, 9020, 1017, 1012, 1021, 2454, 9076, 1997, 2455, 2408, 6239, 1010, 2007, 1996, 2922, 2112, 1011, 1016, 1012, 1018, 2454, 9076, 1011, 1999, 9262, 1998, 5506, 4648, 1012, 2009, 7137, 3429, 2367, 3688, 7478, 2013, 2152, 1011, 3737, 7227, 2107, 2004, 5572, 2243, 1010, 29528, 1998, 23867, 2000, 13819, 3688, 2107, 2004, 24604, 1010, 10722, 14536, 4765, 3170, 1998, 27111, 3514, 1012, 2009, 2003, 2036, 2188, 2000, 23593, 7538, 14345, 1999, 9262, 1998, 5506, 4648, 1010, 2029, 5050, 1037, 4121, 3950, 8813, 1012, 3465, 8122, 1996, 3145, 1996, 2034, 3357, 2001, 2000, 2820, 1037, 3465, 7312, 2565, 1006, 13675, 2361, 1007, 1012, 7902, 2001, 2872, 2006, 1037, 2274, 1011, 3357, 2565, 3225, 2007, 3663, 4106, 1012, 2008, 2001, 2628, 2011, 3431, 2000, 2968, 1010, 5057, 4506, 1010, 1037, 18322, 2832, 1998, 1996, 2458, 1997, 1037, 2291, 11434, 3930, 1010, 2007, 1037, 3579, 2006, 2176, 2364, 5919, 1997, 5446, 1010, 3136, 1010, 3029, 1998, 3226, 1012, 2004, 1037, 2765, 1010, 2566, 6979, 17681, 6003, 2013, 2418, 2007, 1037, 5618, 1997, 1054, 2361, 12740, 2575, 4551, 1012, 2043, 7939, 19058, 2100, 5720, 2000, 7595, 15396, 1010, 2002, 2001, 3103, 8022, 2098, 2044, 8304, 1996, 7071, 2008, 2018, 4158, 2007, 1996, 20148, 2006, 2566, 6979, 17681, 1521, 1055, 3224, 1999, 7987, 15878, 2229, 1010, 2430, 9262, 1012, 2002, 7383, 2008, 2002, 2018, 2036, 4320, 1037, 7071, 2043, 2002, 2165, 2491, 1997, 1996, 2194, 1012, 1523, 1996, 4650, 2001, 15366, 1012, 2242, 2018, 2000, 2022, 2589, 2855, 1998, 7933, 2065, 1996, 2194, 2001, 2000, 10148, 1012, 2108, 1999, 1996, 2417, 2003, 2028, 2518, 1010, 2021, 1996, 2590, 5387, 2003, 5356, 4834, 1012, 5356, 4834, 2003, 2066, 1996, 2668, 2008, 5829, 1996, 2194, 1010, 1524, 2002, 2056, 1012, 1524, 1045, 2318, 15252, 2035, 1996, 5366, 1012, 5366, 1998, 11727, 2024, 2028, 2518, 2057, 2064, 2491, 2096, 4341, 2024, 3811, 7790, 2006, 6327, 3785, 2107, 2004, 1996, 21766, 19312, 2232, 3863, 3446, 1010, 1996, 3795, 4610, 1998, 1996, 2193, 1997, 17394, 1012, 1996, 2034, 2095, 1045, 3013, 1037, 2843, 1997, 5366, 2008, 2020, 14203, 2030, 2071, 2022, 2921, 2004, 2659, 2004, 2825, 1012, 1523, 2009, 2001, 2025, 3733, 1012, 2045, 2001, 2467, 5012, 2119, 4722, 1998, 6327, 1012, 1045, 2921, 4129, 2026, 8628, 2057, 2071, 2025, 2994, 1999, 2256, 7216, 4224, 1998, 2074, 3246, 6214, 2052, 2689, 1012, 2057, 2018, 2000, 2147, 2009, 2041, 1012, 2057, 2018, 2000, 5998, 1998, 9015, 2034, 1012, 1523, 2019, 2742, 2001, 6276, 1996, 2465, 1997, 3309, 2109, 2043, 1037, 2472, 2081, 1037, 3942, 2000, 1996, 4655, 1012, 1045, 2409, 2026, 8628, 2057, 2018, 2000, 2994, 1999, 16269, 9275, 1012, 1045, 2134, 1521, 1056, 4874, 2000, 6631, 1037, 2282, 1012, 1524, 1996, 3663, 2001, 4654, 10732, 28483, 3064, 2011, 13993, 4341, 1012, 1523, 1045, 2787, 2008, 2045, 2020, 2093, 5919, 2008, 2057, 2018, 2000, 5335, 1024, 3737, 1010, 3465, 1998, 3177, 1012, 9229, 2256, 3737, 1010, 8161, 5366, 1998, 21485, 2039, 1996, 2326, 2001, 1996, 2069, 2126, 2057, 2071, 5566, 1999, 3795, 6089, 1010, 1524, 2056, 7939, 19058, 2100, 1012, 1523, 2057, 2018, 2200, 2204, 3737, 5572, 2243, 1010, 2302, 3160, 1010, 2021, 3032, 2066, 12620, 1998, 5148, 2018, 5572, 2243, 1997, 2028, 3694, 2896, 1998, 2020, 3045, 4449, 1012, 2061, 2045, 2442, 2022, 2242, 3308, 2007, 2149, 1012, 6304, 2024, 2332, 1010, 2027, 2031, 1996, 2769, 1998, 1996, 7047, 1012, 2057, 2071, 2025, 5271, 2256, 2488, 3737, 4031, 2138, 1997, 4030, 2326, 1010, 20874, 2008, 2071, 2689, 1999, 1996, 2690, 1997, 1037, 3206, 1010, 1998, 2061, 2006, 1012, 6304, 4900, 1037, 2896, 3737, 2012, 2431, 2256, 3976, 1998, 2172, 2488, 2326, 1012, 1524, 2445, 2566, 6979, 17681, 1521, 1055, 4118, 1997, 2725, 2449, 1010, 7939, 19058, 2100, 3651, 2008, 2009, 2001, 6684, 11341, 2008, 2009, 2001, 3974, 2769, 1012, 2012, 2028, 2754, 1010, 2002, 3603, 2008, 1037, 2822, 2194, 2001, 4855, 24604, 2917, 2566, 6979, 17681, 1521, 1055, 3937, 4855, 3976, 1012, 1523, 2633, 2057, 4342, 2008, 3465, 8122, 2003, 1996, 3145, 1012, 2069, 2007, 3465, 8122, 1010, 2108, 4248, 1999, 3433, 1998, 2537, 1010, 1998, 9229, 2256, 4031, 3737, 2071, 2057, 3246, 2000, 5566, 1012, 1524, 2130, 2007, 1996, 2194, 2085, 2437, 1037, 5618, 1010, 7939, 19058, 2100, 15970, 2172, 1997, 2010, 2051, 1999, 1996, 4655, 1012, 2002, 7887, 8921, 2010, 3095, 2408, 1996, 2406, 1997, 1996, 2342, 2000, 28467, 5366, 1998, 4297, 19500, 8122, 1012, 1523, 1045, 6524, 2412, 4133, 2369, 2026, 4624, 1010, 1000, 2002, 2056, 2007, 1037, 2868, 1012, 9109, 2041, 2000, 1996, 2492, 2024, 2590, 2000, 2032, 1012, 1523, 2065, 1045, 4339, 2019, 2880, 3661, 1045, 1005, 1049, 2469, 1996, 4449, 2052, 2022, 4089, 6439, 1012, 1996, 2765, 2003, 2367, 2065, 1045, 3113, 1996, 3095, 1999, 2711, 1010, 2425, 2068, 2054, 2003, 6230, 1999, 2256, 2194, 1010, 2054, 2003, 2256, 2597, 1010, 2256, 3361, 4650, 1010, 2256, 3488, 1998, 3463, 1012, 2009, 13956, 2068, 2000, 2147, 2488, 1010, 2062, 18228, 1012, 1523, 2057, 2036, 8627, 2068, 2000, 2272, 2039, 2007, 4784, 1010, 15463, 2130, 2013, 1996, 7290, 4635, 1997, 3667, 1012, 1998, 2057, 2024, 3929, 13338, 2007, 2256, 3361, 8635, 1012, 1524, 2013, 1996, 6515, 2217, 1010, 7939, 19058, 2100, 2580, 4248, 5222, 2011, 11243, 1996, 3291, 8720, 6149, 3512, 2895, 1006, 27263, 2050, 1007, 2832, 1012, 1000, 2013, 1996, 3451, 2217, 1010, 5525, 2045, 2003, 1037, 4489, 2013, 2797, 3316, 2000, 2108, 2012, 1037, 2061, 2063, 1012, 2045, 2003, 2467, 5012, 1998, 4559, 1012, 2054, 1521, 1055, 2590, 2003, 2025, 2000, 2067, 2091, 1012, 1045, 7933, 6611, 7904, 9009, 1998, 7861, 11452, 2035, 5126, 2000, 3623, 15836, 1012, 2169, 3003, 2003, 2445, 1996, 3176, 4708, 1997, 28050, 2047, 4177, 1998, 11434, 1996, 6958, 1997, 10656, 1012, 1523, 15144, 3095, 2024, 3495, 3625, 2005, 1996, 2622, 2061, 2008, 2027, 2064, 2202, 2058, 2065, 1996, 2533, 2132, 2003, 2041, 1997, 2237, 2030, 1999, 6295, 1012, 2411, 1045, 3198, 1996, 3095, 1997, 1996, 2407, 4177, 2000, 2191, 18216, 2061, 2008, 1045, 2064, 8080, 2129, 2521, 2027, 3305, 2054, 2027, 2024, 2725, 1012, 1000, 7939, 19058, 2100, 14456, 2174, 2008, 2010, 8122, 1998, 3465, 6276, 3298, 2069, 3640, 1037, 2460, 1011, 2744, 5576, 1012, 2005, 1996, 2146, 2744, 1010, 2045, 2003, 2053, 2060, 2126, 2084, 2000, 12996, 3930, 1997, 4341, 1012, 1996, 5618, 1996, 2194, 3687, 1999, 2418, 2001, 2025, 1996, 2765, 1997, 3020, 6599, 1010, 2029, 2941, 3062, 2011, 1015, 1003, 1012, 2000, 3066, 2007, 2023, 3663, 1010, 1996, 2194, 2003, 7601, 7103, 3436, 1010, 2005, 6013, 2007, 3784, 4341, 1997, 2049, 3688, 1012, 2178, 4022, 3930, 2181, 2003, 6813, 1012, 4975, 9084, 2449, 2566, 6979, 17681, 2038, 2042, 4082, 1037, 2176, 1011, 2754, 2449, 8651, 2832, 4055, 2046, 2048, 2350, 2752, 1024, 1996, 7065, 18400, 3989, 1997, 4493, 2449, 1998, 2047, 2449, 2458, 1012, 1999, 4493, 2449, 1010, 2028, 3930, 2181, 2003, 17338, 21163, 2964, 1012, 1999, 1996, 6813, 4753, 1010, 2566, 6979, 17681, 2038, 23593, 3019, 13051, 1998, 2096, 1996, 2193, 4165, 8052, 1010, 1996, 3361, 6691, 2003, 2235, 1012, 1523, 2008, 3065, 2149, 1996, 4094, 1997, 1996, 5023, 8813, 1010, 1524, 2758, 7939, 19058, 2100, 1012, 1523, 1996, 6813, 4753, 16605, 1018, 1003, 1997, 2256, 5658, 3930, 1010, 2030, 1054, 2361, 12521, 2692, 4551, 2566, 2095, 1012, 1045, 2031, 4146, 1037, 12596, 2817, 2000, 2714, 3316, 1999, 4701, 1998, 6435, 2029, 2031, 2382, 1011, 2871, 1003, 6691, 2013, 6813, 1012, 2008, 2003, 2036, 2138, 2037, 4480, 2024, 25262, 9715, 1012, 2027, 2428, 7969, 2037, 3019, 4219, 1012, 2067, 1999, 6239, 1010, 2057, 2342, 2128, 23544, 2075, 1012, 2566, 6979, 17681, 2003, 2036, 1999, 1996, 2832, 1997, 5278, 1996, 2147, 10296, 1997, 1520, 2054, 2064, 2057, 5271, 1029, 1521, 2000, 1520, 2054, 2079, 10390, 2215, 2000, 4965, 1029, 1000, 1996, 14582, 4435, 2038, 2042, 2764, 2000, 2421, 1037, 3528, 1997, 3019, 7538, 7045, 2007, 12361, 4781, 1997, 3688, 1010, 2578, 1998, 2658, 2968, 1012, 1996, 4435, 2001, 3390, 2012, 1996, 2203, 1997, 2197, 2095, 2012, 2048, 4405, 3934, 1010, 10556, 4213, 2232, 2404, 19190, 1999, 2316, 5575, 1010, 2029, 2038, 2042, 4082, 2144, 3055, 1010, 1998, 7221, 10513, 15465, 2102, 1010, 2029, 2038, 2042, 4082, 2144, 2355, 1999, 29461, 3070, 9692, 5937, 1010, 2264, 9262, 1012, 1996, 14582, 5269, 3749, 4550, 4044, 1010, 4569, 1998, 2019, 29118, 3267, 2778, 3325, 1012, 10367, 3616, 2012, 1996, 2048, 4573, 2031, 2525, 5598, 12099, 1998, 2566, 6979, 17681, 8069, 2000, 12992, 6599, 3930, 2013, 1996, 6813, 2217, 2000, 2184, 1003, 1997, 1996, 2561, 2023, 2095, 1012, 1996, 2194, 2038, 2719, 1037, 2047, 17338, 21163, 2964, 1998, 12943, 3217, 29278, 4355, 2854, 2407, 2000, 5047, 2023, 2047, 2449, 24000, 1012, 2009, 2003, 6201, 5844, 2007, 2536, 4243, 2107, 2004, 1996, 3757, 1997, 6813, 1010, 2334, 6867, 1010, 1996, 2797, 4753, 1010, 2334, 4279, 1998, 2130, 2007, 2248, 2449, 5826, 2007, 1037, 2933, 2000, 3857, 2019, 17338, 1011, 4323, 2380, 2478, 28148, 1011, 2241, 2943, 2006, 5174, 2002, 25572, 4570, 1997, 3224, 1999, 2225, 9262, 2007, 2561, 5211, 3643, 1997, 1002, 1016, 4551, 1012, 9530, 8043, 6455, 1996, 4044, 2036, 18227, 4279, 2013, 3019, 18665, 2066, 14295, 1998, 20148, 2015, 1012, 7939, 19058, 2100, 7164, 2023, 2003, 1996, 8027, 2002, 1521, 2222, 2022, 2583, 2000, 3443, 2007, 2010, 2051, 2012, 2566, 6979, 17681, 1012, 1523, 1045, 2215, 2000, 3857, 1037, 13432, 1998, 5875, 3325, 2043, 9045, 3942, 2256, 5269, 1012, 2256, 2406, 2003, 2200, 4138, 1010, 1045, 3246, 2566, 6979, 17681, 2064, 2022, 4226, 8988, 1037, 8637, 7538, 7688, 2008, 2003, 2025, 14092, 2000, 7538, 14345, 1999, 9632, 3032, 1012, 1000, 1075, 7595, 15396, 2003, 2112, 1997, 2022, 17728, 16846, 2226, 2865, 9583, 1012, 2035, 2916, 9235, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 23848, 1024, 2012, 2054, 2287, 2106, 2017, 2707, 2000, 5667, 5136, 3352, 1037, 3213, 1029, 25269, 1024, 1045, 2318, 2101, 2084, 2087, 1997, 2026, 2814, 1012, 2941, 1010, 1045, 2001, 1999, 2267, 2077, 1045, 2034, 2699, 2000, 4339, 4623, 2030, 4349, 1012, 23848, 1024, 2017, 2024, 27029, 1999, 4623, 1010, 2460, 3441, 1010, 1998, 6002, 1012, 2106, 2017, 11529, 2046, 2035, 2093, 2012, 2320, 1010, 2030, 2129, 2106, 2008, 19852, 1029, 25269, 1024, 2043, 1045, 2001, 1999, 2267, 1010, 1045, 3492, 2172, 2106, 2460, 3441, 1998, 4623, 2362, 2220, 2006, 1012, 1045, 2064, 3342, 1997, 1996, 2034, 2274, 2030, 2416, 4109, 1045, 2626, 1010, 2048, 2020, 5878, 1010, 2093, 2030, 2176, 2020, 3441, 1012, 2941, 1010, 2043, 1045, 2034, 2288, 2405, 1999, 2026, 2267, 4706, 3485, 1010, 1045, 2018, 1037, 2460, 2466, 1998, 1037, 5961, 1999, 2009, 1012, 23848, 1024, 2043, 2106, 1996, 6002, 2272, 2046, 2377, 1029, 25269, 1024, 1045, 2699, 2000, 4339, 2028, 2043, 1045, 2001, 1999, 2026, 2397, 27074, 1998, 3478, 1012, 1045, 2699, 2153, 1999, 2026, 2382, 2015, 1998, 3478, 1010, 2021, 2633, 1999, 2026, 3054, 1011, 2871, 2015, 1045, 2371, 2066, 1045, 1521, 1040, 2517, 2242, 2008, 2001, 4276, 19927, 1012, 2008, 2001, 2028, 3329, 1999, 10267, 1012, 2061, 2748, 1010, 1996, 6002, 2234, 2101, 1012, 23848, 1024, 6581, 3117, 1010, 2011, 1996, 2126, 1012, 3071, 2467, 5176, 2040, 1521, 1055, 2115, 5440, 9974, 1010, 2021, 1045, 2215, 2000, 3198, 2040, 2052, 2017, 2360, 2003, 2115, 5440, 4802, 1029, 25269, 1024, 1045, 3984, 2065, 1045, 2018, 2000, 4060, 1037, 5440, 1529, 1045, 2123, 1521, 1056, 2113, 2129, 2017, 3193, 8101, 1012, 8101, 1010, 2000, 2033, 1010, 2003, 1996, 2190, 1997, 2673, 1012, 2065, 1045, 2018, 2000, 4060, 2019, 3265, 4802, 1010, 11850, 1037, 4802, 1010, 2009, 2052, 2763, 2022, 2198, 17710, 11149, 1012, 23848, 1024, 2115, 4623, 2038, 1037, 2844, 7984, 3298, 1012, 1045, 2572, 3327, 13545, 1997, 2115, 4623, 3074, 21142, 4971, 1010, 2029, 2083, 1037, 2186, 1997, 4198, 5878, 4136, 1996, 2466, 1997, 6617, 5533, 2125, 2037, 2455, 2040, 2175, 2000, 2147, 2012, 1037, 4971, 1998, 2444, 1999, 4971, 3506, 1012, 2106, 2017, 4339, 2122, 4109, 2007, 1996, 6808, 1997, 2725, 1037, 3074, 1010, 2030, 2020, 2027, 2517, 14258, 1998, 2074, 2766, 2362, 2043, 2017, 3651, 2027, 2409, 1037, 2522, 21579, 2466, 1029, 25269, 1024, 1045, 2018, 2464, 1996, 4971, 4731, 2707, 2000, 10436, 1010, 1998, 2009, 2001, 2471, 2066, 2053, 2028, 2001, 15103, 2008, 2023, 2126, 1997, 2166, 2008, 2018, 2042, 2061, 15157, 2005, 2061, 2116, 2111, 1010, 2025, 2074, 1999, 1996, 2148, 2021, 2012, 2028, 2051, 1999, 2047, 2563, 1010, 2001, 14489, 1012, 2061, 1045, 2626, 2274, 2030, 2416, 5878, 1010, 1998, 1045, 2318, 2000, 5382, 2008, 2672, 1045, 2071, 2079, 2242, 2008, 2052, 2022, 1037, 3074, 1997, 4623, 2008, 2453, 2036, 2031, 1996, 2514, 1997, 1037, 3117, 1010, 1037, 2062, 25145, 2126, 1997, 4129, 2023, 2466, 1012, 2044, 2274, 2030, 2416, 5878, 1010, 1045, 2318, 2000, 5382, 2023, 2071, 2022, 2242, 7046, 1012, 1045, 2347, 1521, 1056, 2469, 2054, 2012, 2034, 1010, 2672, 1037, 15775, 2361, 8654, 1010, 2021, 1045, 2921, 2551, 1998, 1045, 2371, 2488, 1998, 2488, 2055, 2009, 1012, 2941, 1010, 2009, 1521, 1055, 2893, 3201, 2000, 2022, 24476, 2004, 1037, 3983, 5315, 3179, 1012, 2009, 1521, 1055, 2746, 2041, 1999, 2255, 1010, 2061, 2009, 1521, 1055, 2218, 2039, 3492, 2092, 1012, 1006, 16770, 1024, 1013, 1013, 7479, 1012, 9733, 1012, 4012, 1013, 21142, 1011, 4971, 1011, 6902, 1011, 23438, 1013, 1040, 2361, 1013, 4260, 21926, 27009, 22932, 1013, 25416, 1027, 5034, 1035, 1015, 1035, 1016, 1029, 1055, 1027, 2808, 1004, 29464, 1027, 21183, 2546, 2620, 1004, 18816, 2094, 1027, 16710, 27009, 2620, 24434, 2620, 2549, 1004, 5034, 1027, 1015, 1011, 1016, 1004, 3145, 22104, 1027, 21142, 1009, 4971, 1007, 23848, 1024, 2028, 1997, 2026, 5440, 6002, 1997, 6737, 2003, 1996, 11821, 1012, 1045, 2179, 2008, 2978, 1997, 2381, 2055, 2088, 2162, 1045, 1006, 1996, 2137, 29041, 7958, 2073, 7074, 2020, 2218, 1010, 1998, 1996, 24525, 1997, 1037, 3056, 2446, 9542, 11197, 1521, 1055, 3626, 1007, 4372, 7138, 7406, 2004, 1045, 2347, 1521, 1056, 5204, 1997, 2009, 1012, 25269, 1024, 2017, 1521, 2128, 2025, 2894, 1012, 2200, 2261, 2111, 4025, 2000, 2113, 2055, 2009, 1012, 23848, 1024, 2995, 1012, 1996, 3117, 2036, 3764, 2061, 3449, 2080, 15417, 2135, 1997, 3314, 2057, 2227, 2651, 1012, 2129, 2172, 2470, 2106, 2017, 2079, 2005, 2008, 2338, 1029, 25269, 1024, 1045, 2106, 1037, 4121, 3815, 1012, 1045, 2293, 2725, 2470, 1012, 1045, 1521, 1049, 2074, 1037, 8025, 2711, 1010, 1998, 2009, 1521, 1055, 2467, 4569, 2000, 4553, 2055, 2477, 1045, 2123, 1521, 1056, 2113, 1037, 2843, 2055, 1012, 1045, 2106, 1037, 2204, 2978, 1997, 2470, 1010, 3391, 2006, 1996, 2911, 1012, 1045, 2941, 2179, 1037, 2338, 2055, 1996, 2911, 1010, 1998, 1045, 2018, 2000, 2344, 2009, 2013, 2047, 3414, 1012, 2061, 2748, 1010, 1045, 2106, 1037, 2843, 1997, 2470, 1010, 2021, 2036, 2008, 4528, 2003, 1999, 2530, 2167, 3792, 1010, 3492, 2172, 2379, 2073, 1045, 3473, 2039, 1010, 2061, 1045, 2018, 2070, 3168, 1997, 2009, 2525, 1012, 1045, 2228, 2470, 2003, 2590, 2000, 2131, 1996, 4751, 2004, 2157, 2004, 2017, 2064, 1012, 2017, 2467, 3335, 2242, 2043, 2017, 2275, 1037, 3117, 1999, 1037, 3327, 2051, 1010, 2021, 2012, 2560, 1045, 3046, 2000, 18478, 2009, 1012, 1998, 2028, 2518, 1045, 2514, 2055, 2023, 2338, 1998, 14419, 1010, 1999, 3327, 1010, 2003, 2008, 1045, 2001, 3015, 2004, 2172, 2055, 1996, 2556, 2004, 1996, 2627, 1012, 23848, 1024, 2026, 2279, 3160, 2003, 2941, 2055, 14419, 1010, 2029, 2003, 3383, 1996, 2087, 2092, 1011, 2124, 1997, 2115, 6002, 1012, 2009, 2003, 6581, 1010, 1998, 1996, 2516, 2839, 2003, 3432, 17160, 1012, 2043, 1045, 3191, 2115, 3074, 6370, 1998, 2060, 3441, 1010, 1045, 4384, 2008, 2045, 2001, 1037, 2460, 2466, 2170, 1523, 21877, 21784, 2669, 1521, 1055, 8959, 1524, 2029, 2003, 1037, 7820, 2544, 1997, 1996, 3117, 1010, 2007, 1037, 21040, 2367, 4566, 1012, 1045, 7868, 1996, 2460, 2466, 2234, 2034, 1029, 25269, 1024, 2009, 1521, 1055, 2785, 1997, 5875, 1012, 2130, 2043, 1045, 2626, 2008, 2466, 1010, 1045, 2525, 2354, 2009, 2001, 2183, 2000, 2468, 1037, 3117, 1010, 2021, 1045, 2371, 2066, 1045, 2071, 4339, 2242, 2062, 9530, 18380, 1998, 1045, 2245, 2008, 2052, 2022, 5875, 1012, 1045, 2001, 2220, 2046, 1996, 3117, 2012, 2008, 2051, 1010, 1998, 5586, 2347, 1521, 1056, 2130, 1037, 2839, 2044, 1996, 2034, 3931, 2030, 2048, 1012, 1996, 2613, 2689, 1999, 2008, 3117, 2234, 2101, 2007, 5586, 1012, 2061, 2748, 1010, 1045, 2001, 2551, 2006, 2009, 2021, 2371, 1045, 2018, 2438, 2045, 2000, 2031, 1037, 2204, 2466, 2021, 2035, 1996, 2096, 4209, 1045, 2001, 2183, 2000, 2079, 2242, 2062, 25145, 1012, 1045, 2036, 4066, 1997, 2106, 2008, 2168, 2518, 2007, 1996, 3117, 1996, 2088, 2081, 3442, 1998, 1037, 2460, 2466, 2170, 1523, 28699, 19859, 13452, 1010, 1524, 2295, 1999, 2008, 6013, 1045, 2626, 1996, 3117, 1037, 3232, 1997, 2086, 2044, 1996, 2460, 2466, 1012, 23848, 1024, 2115, 2087, 3728, 2207, 3117, 1010, 1996, 13763, 1010, 2003, 2062, 3824, 2084, 6002, 2066, 14419, 1998, 1996, 11821, 1012, 2017, 4025, 2000, 2175, 2067, 1998, 5743, 2090, 3824, 6002, 1998, 2558, 3924, 1012, 2079, 2017, 3921, 1996, 3015, 11543, 2043, 1996, 2051, 2558, 2017, 2024, 3015, 2055, 2003, 2062, 3522, 1029, 25269, 1024, 2763, 1012, 1996, 3798, 1997, 2470, 1045, 2031, 2000, 2079, 2024, 2367, 1010, 1998, 2007, 3824, 6002, 1045, 1521, 1049, 18345, 2062, 2006, 3167, 3638, 1012, 3391, 1999, 1996, 13763, 1012, 1999, 3380, 1045, 2001, 7426, 2086, 2214, 1010, 1998, 1045, 2428, 2018, 2008, 3168, 8207, 2018, 1010, 1997, 2035, 2023, 6429, 2689, 1998, 1996, 2293, 4245, 1998, 27451, 1012, 2021, 1045, 2001, 1999, 1037, 2200, 2235, 1010, 4603, 2181, 1999, 2530, 2167, 3792, 1010, 1037, 2235, 2237, 1997, 1045, 3984, 5385, 2111, 1010, 2061, 2009, 2001, 2066, 2009, 2001, 6230, 7249, 2021, 2045, 1010, 2021, 1045, 2001, 5962, 2000, 1996, 2189, 1010, 1998, 2004, 1045, 2360, 1999, 1996, 3117, 2009, 2001, 2428, 2066, 1045, 2001, 2893, 7696, 1999, 1037, 5835, 2013, 2023, 2060, 2173, 1012, 2061, 5121, 3167, 3325, 2763, 3248, 2062, 1997, 1037, 2535, 1999, 2008, 3117, 2084, 2151, 2060, 3117, 1045, 1521, 2310, 2517, 1012, 1045, 2052, 2360, 2521, 2062, 1010, 2941, 1012, 23848, 1024, 2009, 2038, 2028, 1997, 1996, 2087, 3376, 21306, 1045, 1521, 2310, 2412, 3191, 1012, 25269, 1024, 4067, 2017, 1012, 2008, 2338, 2106, 2025, 2079, 2004, 2092, 2004, 1045, 2453, 2031, 4669, 1010, 2021, 1045, 2514, 2066, 2009, 4324, 2039, 1012, 1045, 2228, 2009, 1521, 1055, 1037, 2338, 2008, 2065, 2017, 3191, 2009, 1037, 2117, 2051, 1010, 2009, 2089, 2330, 2039, 1999, 3971, 1996, 8068, 2453, 2031, 4771, 1996, 2034, 2051, 1012, 2026, 3125, 2001, 2000, 4339, 1037, 2338, 2073, 1996, 2117, 3752, 1010, 2672, 2130, 1996, 2353, 1010, 2052, 2022, 2073, 2242, 2428, 6433, 2000, 1996, 8068, 1012, 23848, 1024, 1045, 2097, 5791, 2022, 2128, 16416, 4667, 2009, 1012, 1999, 2019, 4357, 1010, 1045, 2657, 2017, 2831, 2055, 2460, 3441, 1010, 3038, 2008, 2017, 2903, 2068, 2000, 2022, 2637, 1521, 1055, 2307, 6691, 2000, 3906, 1012, 1045, 4999, 2065, 2017, 2071, 16258, 8630, 2006, 2008, 1037, 2978, 1012, 2005, 6013, 1010, 2040, 2079, 2017, 2228, 2031, 2042, 1996, 2087, 6383, 2137, 2460, 2466, 4898, 1029, 25269, 1024, 1045, 2228, 2057, 2064, 2707, 2007, 18922, 1010, 5121, 1012, 2010, 3747, 2006, 1996, 2413, 2038, 2042, 9788, 1012, 1999, 1037, 3168, 1010, 2002, 2428, 2001, 2028, 1997, 1996, 2087, 2590, 2460, 2466, 4898, 1998, 7601, 7103, 6591, 1012, 2010, 2460, 3441, 2031, 2042, 1037, 2307, 6691, 2000, 2088, 3906, 1010, 1998, 2059, 2017, 2156, 23440, 2746, 2101, 1012, 1045, 2228, 19610, 6562, 4576, 5121, 2038, 2018, 1037, 4121, 4254, 2006, 2088, 3906, 1010, 3391, 2010, 2460, 3441, 1012, 1998, 2062, 3728, 7638, 20163, 1010, 1998, 1997, 2607, 13109, 20147, 2854, 1051, 1521, 6720, 4247, 2000, 2031, 1037, 4121, 3466, 2130, 2648, 1996, 2142, 2163, 1012, 1045, 2123, 1521, 1056, 2113, 1997, 1037, 2406, 2008, 2038, 2550, 3618, 2460, 2466, 4898, 1012, 1045, 2228, 2043, 2057, 2298, 2012, 2637, 1521, 1055, 2307, 6691, 2000, 3906, 1010, 2000, 2033, 2009, 2003, 3492, 5525, 1996, 2460, 2466, 1012, 23848, 1024, 2460, 4349, 2003, 10368, 1010, 1999, 2008, 2017, 2031, 1037, 3760, 10683, 2006, 2029, 2000, 2147, 2664, 2145, 2342, 2000, 3443, 1037, 2440, 2088, 1998, 14469, 3494, 1998, 1037, 17087, 7091, 1012, 2079, 2017, 2031, 2151, 3327, 5461, 2017, 2224, 2000, 14570, 2023, 1010, 2030, 2079, 2017, 3404, 3294, 2000, 12753, 1029, 25269, 1024, 1045, 2074, 2175, 2011, 12753, 1010, 2021, 1045, 2097, 2360, 2008, 2471, 2296, 3213, 1045, 1521, 2310, 2657, 2040, 2515, 2119, 2097, 5993, 2008, 2000, 4339, 1037, 2204, 2460, 2466, 2003, 6211, 2084, 3015, 1037, 2204, 3117, 1012, 2009, 1521, 1055, 2025, 2242, 1045, 2428, 2215, 2000, 2228, 2055, 2205, 2172, 1012, 1045, 2428, 2079, 2215, 2009, 2000, 2022, 29202, 1010, 1998, 1996, 3441, 7166, 2000, 2471, 2467, 2707, 2007, 2019, 3746, 1998, 2059, 1045, 2074, 2292, 2009, 2175, 2073, 2009, 2097, 2175, 1012, 1045, 1521, 2310, 4342, 2000, 3404, 2008, 1012, 1996, 2028, 2518, 1045, 2196, 2079, 1010, 2295, 1045, 2106, 2023, 2220, 2006, 2127, 1045, 4342, 2009, 2001, 3599, 2054, 2001, 2358, 10128, 2989, 2033, 1010, 2003, 3046, 2000, 5436, 2041, 1037, 2466, 1012, 2008, 1010, 2005, 2033, 1010, 2987, 1521, 1056, 2147, 1012, 2009, 1521, 1055, 2471, 2004, 2065, 2017, 1521, 2128, 5128, 2009, 2035, 2006, 1037, 2309, 4334, 1010, 1998, 2216, 25430, 2121, 3726, 5312, 2008, 2024, 9223, 2024, 1996, 5312, 2008, 1996, 2460, 2466, 2428, 2573, 1012, 1045, 2147, 2011, 26406, 1010, 2130, 2007, 6002, 1012, 2673, 1045, 4339, 4627, 2007, 2019, 3746, 1010, 14419, 2318, 2007, 2074, 2019, 3746, 1997, 1037, 2450, 2006, 19926, 1012, 23848, 1024, 2004, 2019, 18568, 7089, 1997, 2460, 4349, 1010, 1045, 4999, 2065, 2017, 2018, 2151, 2060, 6407, 1999, 1996, 2573, 1029, 25269, 1024, 7078, 1012, 1045, 1521, 2310, 2288, 2028, 3492, 2172, 2736, 2039, 1012, 1045, 1521, 2310, 2288, 4376, 3441, 1010, 1998, 2941, 1045, 1521, 1049, 2763, 2183, 2000, 2031, 1037, 20674, 2073, 1045, 3288, 2067, 14419, 2000, 3926, 2039, 2014, 2197, 3105, 1010, 2029, 1999, 1996, 3117, 2003, 2187, 25757, 1012, 2016, 3310, 2067, 2013, 4380, 1010, 2021, 1996, 2466, 2003, 2941, 4208, 2172, 2062, 2006, 1996, 8833, 15776, 1012, 1999, 1037, 3168, 1010, 2016, 1521, 1055, 2025, 2172, 2062, 2084, 1037, 3739, 2138, 2009, 1521, 1055, 2428, 2055, 1996, 8833, 4590, 5811, 1012, 1045, 2131, 2046 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1045, 3191, 1996, 8115, 2005, 2023, 2460, 2466, 2170, 7327, 8458, 11069, 1999, 1996, 5532, 1012, 2023, 2460, 2466, 2001, 2025, 2069, 4569, 1998, 25591, 2021, 2009, 2001, 2036, 4550, 1998, 1045, 2228, 2017, 2052, 2066, 2009, 1012, 1045, 2179, 2009, 3733, 2000, 3191, 1998, 1037, 3931, 6769, 1012, 2009, 2921, 2026, 3086, 1998, 1045, 2134, 1521, 1056, 2215, 2000, 2404, 2009, 2091, 1012, 1045, 3446, 2023, 2460, 2466, 1019, 3340, 1012, 2338, 8569, 2497, 2338, 28142, 2061, 2065, 2017, 13970, 1006, 2785, 2571, 14668, 1007, 1010, 3191, 2009, 2030, 2017, 2064, 4965, 1996, 2338, 2012, 9733, 1012, 4012, 1012, 2025, 2469, 2054, 1996, 3976, 2003, 7587, 2021, 1999, 9733, 2149, 2009, 2003, 1002, 1012, 5585, 1012, 2129, 2146, 2008, 3976, 2097, 2197, 2092, 1045, 2428, 2123, 1521, 1056, 2113, 1012, 1045, 2428, 5632, 2023, 2460, 2466, 1012, 2009, 1521, 1055, 21446, 1012, 10409, 11530, 1998, 1045, 2097, 2022, 2725, 5379, 6039, 1516, 16021, 2367, 2023, 2733, 1012, 2057, 2097, 2119, 3437, 2169, 3160, 1012, 10409, 11530, 1521, 1055, 3437, 2097, 2022, 1999, 3212, 2630, 1998, 2026, 6998, 2097, 2022, 1999, 6379, 1012, 2035, 6998, 2097, 2022, 1999, 19408, 1012, 1045, 1521, 1049, 1037, 6293, 3917, 2005, 3036, 1998, 9394, 1012, 10409, 11530, 1521, 1055, 3437, 2003, 1024, 2016, 1521, 1055, 1037, 6293, 3917, 2005, 2893, 2026, 4937, 18452, 1998, 4363, 2026, 5608, 2012, 2188, 1012, 2011, 1996, 2203, 1997, 2257, 1010, 1045, 2933, 2000, 4339, 2178, 5961, 1998, 4339, 1037, 2695, 2006, 2026, 2060, 2609, 6160, 2000, 6121, 1521, 1055, 2609, 1006, 2761, 2406, 2542, 1007, 1012, 10409, 11530, 2758, 1010, 2016, 3488, 2000, 2424, 2178, 1529, 2054, 2572, 1045, 3331, 2055, 1012, 1045, 2031, 2053, 3488, 2021, 2000, 3613, 5777, 1012, 1045, 1521, 1049, 1037, 4937, 2005, 18401, 2015, 8739, 1012, 2026, 29353, 1998, 4824, 6180, 2003, 2026, 5440, 2518, 2055, 2870, 1012, 10409, 11530, 2758, 1024, 2673, 2003, 2014, 5440, 2518, 2055, 2841, 1012, 2122, 2420, 1010, 2026, 5221, 9470, 2003, 2026, 4752, 1998, 3788, 2007, 2643, 1998, 2725, 2054, 2002, 4122, 2033, 2000, 1012, 10409, 11530, 2758, 2014, 5221, 9470, 2003, 6595, 3647, 2007, 2014, 5608, 1012, 2412, 2074, 2215, 2000, 2131, 25416, 21898, 2098, 1999, 2023, 2980, 4633, 1029, 2412, 2175, 2005, 1037, 3221, 1997, 2300, 2021, 2134, 1521, 1056, 2428, 2215, 2300, 1029, 2092, 1045, 1521, 1049, 2183, 2000, 2393, 2017, 19519, 2008, 1012, 2008, 1521, 1055, 2157, 2182, 2003, 2019, 3733, 17974, 2005, 1037, 4392, 2008, 3504, 2200, 27150, 1012, 2008, 1521, 1055, 2157, 1045, 4033, 1521, 1056, 2699, 2009, 1012, 3531, 3602, 1010, 2023, 17974, 2064, 4089, 2022, 2081, 2512, 2389, 3597, 14854, 2594, 2011, 2635, 2035, 14813, 12760, 2041, 1012, 1523, 4060, 2571, 6174, 1524, 17974, 2003, 2917, 1012, 1045, 2245, 1045, 1521, 1040, 2079, 2242, 2367, 1012, 2057, 2079, 19328, 2005, 2021, 6524, 2079, 19328, 2005, 8870, 2030, 6077, 1012, 1045, 2245, 1045, 2052, 2079, 2070, 19328, 2005, 8870, 1012, 1045, 3582, 2048, 19582, 8870, 1998, 2179, 2023, 17974, 1037, 2261, 2420, 3283, 2006, 2037, 9927, 1998, 4669, 2009, 2008, 1045, 2359, 2000, 3745, 2009, 2007, 2017, 1012, 17974, 2005, 8870, 1024, 11840, 14433, 18452, 2184, 11472, 27141, 11840, 6151, 27361, 1012, 1015, 8288, 7854, 1016, 10268, 2878, 10500, 13724, 3684, 17428, 2000, 8698, 5445, 1012, 8187, 2184, 11472, 27141, 11840, 1006, 6151, 27361, 1007, 1999, 1037, 2833, 13151, 1998, 1013, 2030, 24494, 2004, 22126, 2004, 2825, 1012, 1999, 1037, 6809, 4605, 2478, 1037, 2192, 2030, 3233, 23228, 1010, 11506, 11840, 1010, 1015, 8288, 1006, 7854, 1007, 1998, 1016, 10268, 2878, 10500, 13724, 2127, 23126, 3596, 1012, 2065, 23126, 2003, 2205, 4318, 1010, 5587, 2039, 2000, 1015, 1013, 1017, 2452, 1997, 2300, 1012, 2065, 23126, 2003, 2000, 4954, 2030, 15875, 1010, 5587, 1037, 2978, 2062, 13724, 1012, 23126, 2323, 2022, 26997, 2100, 2021, 2025, 15875, 1012, 4897, 2041, 23126, 2006, 1037, 13724, 2098, 3302, 2127, 2055, 1015, 1013, 1018, 4960, 4317, 1012, 2224, 1037, 1017, 1013, 1018, 1011, 4960, 17387, 16343, 1999, 1996, 4338, 1997, 2115, 3601, 2000, 3443, 2115, 18452, 1006, 2030, 2074, 2433, 2007, 2115, 2398, 999, 1007, 2173, 18452, 2006, 1037, 22433, 1011, 7732, 21522, 7123, 1998, 8670, 3489, 2012, 8698, 5445, 2005, 2055, 2322, 2781, 1012, 2043, 2027, 1521, 2128, 3621, 15005, 2094, 1998, 24514, 2100, 1010, 2027, 1521, 2128, 2589, 1012, 3499, 2000, 4658, 2077, 3529, 1012, 3573, 1999, 2019, 2250, 26143, 11661, 2005, 2039, 2000, 1016, 3134, 1012, 4937, 19328, 1024, 7975, 18452, 1015, 1015, 1013, 1016, 10268, 12984, 7975, 1010, 29022, 1015, 2452, 2878, 10500, 13724, 1015, 1013, 1016, 2452, 7975, 22953, 2705, 1015, 1013, 1017, 2452, 9781, 4168, 2389, 1015, 29584, 2361, 1012, 16573, 9388, 6843, 3170, 2096, 2115, 17428, 2003, 3653, 20192, 3436, 2000, 8698, 5445, 6904, 28362, 25311, 20175, 1010, 11506, 1996, 7975, 1010, 22953, 2705, 1998, 9388, 6843, 3170, 1010, 2059, 5587, 1996, 9781, 4168, 2389, 1998, 13724, 1012, 14161, 13775, 1996, 23126, 2046, 1037, 3608, 1998, 2059, 4897, 2009, 2041, 2000, 1015, 1013, 1018, 4960, 1012, 3013, 2046, 2028, 1011, 4960, 4109, 1998, 8670, 3489, 2005, 2322, 2781, 2006, 2019, 4895, 17603, 11022, 2094, 17387, 7123, 1012, 4937, 19328, 1024, 8808, 18452, 1017, 1013, 1018, 2452, 29022, 2030, 24665, 4383, 18178, 25062, 2099, 8808, 1017, 1013, 1018, 2452, 2878, 10500, 13724, 1015, 1013, 1018, 2452, 14768, 6949, 2030, 10930, 27390, 2102, 1006, 5810, 1007, 1015, 1013, 1018, 2452, 9781, 4168, 2389, 1019, 29584, 2361, 1012, 24665, 4383, 11968, 7834, 2319, 8808, 2096, 2115, 17428, 2003, 3653, 20192, 3436, 2000, 8698, 5445, 6904, 28362, 25311, 20175, 1010, 11506, 2035, 1996, 12760, 2046, 23126, 1006, 5587, 1037, 3543, 1997, 2300, 2065, 2734, 1007, 1012, 14161, 13775, 1996, 23126, 2046, 1037, 3608, 1998, 2059, 4897, 2009, 2041, 2000, 1015, 1013, 1018, 4960, 1012, 3013, 2046, 2028, 1011, 4960, 4109, 1998, 8670, 3489, 2005, 2423, 2781, 2006, 1037, 21956, 2094, 17387, 7123, 1012, 10409, 11530, 1998, 1045, 26441, 2028, 1997, 2122, 19328, 9023, 2000, 2115, 4937, 1012, 8870, 10107, 18452, 4703, 1998, 3679, 1012, 1008, 2440, 19380, 1008, 1045, 2179, 2122, 19328, 2006, 2048, 19582, 8870, 9927, 1012, 1996, 2434, 2695, 1997, 19328, 2064, 2022, 2179, 2012, 2048, 19582, 8870, 9927, 1998, 2036, 2006, 1996, 4274, 1012, 1045, 1521, 2310, 2025, 2699, 2122, 19328, 2006, 2026, 4937, 2144, 1045, 1521, 1049, 2025, 1037, 5660, 1012, 2017, 2064, 3443, 2115, 2219, 14930, 2011, 8434, 2007, 2115, 14433, 20672, 2011, 4942, 21532, 3145, 12760, 1012, 2065, 2017, 2191, 2151, 1997, 2122, 18452, 2292, 2033, 2113, 2129, 2009, 3632, 1998, 2129, 2115, 4937, 7777, 2009, 1012, 10409, 11530, 1998, 1045, 2024, 18836, 2057, 2444, 1999, 1037, 2489, 2455, 1998, 2489, 2000, 5454, 2000, 2191, 2039, 2256, 2219, 2568, 1998, 2025, 2031, 1037, 21237, 4129, 2149, 2054, 2057, 2064, 1998, 2064, 1521, 1056, 2079, 1012, 2057, 1521, 2128, 2200, 8794, 2000, 1996, 8244, 1010, 3161, 2510, 1998, 2926, 8794, 2000, 2216, 2040, 3825, 1996, 7209, 3976, 1012, 2643, 19994, 2637, 999, 999, 999, 999, 10409, 11530, 1998, 1045, 2024, 2725, 1016, 3980, 2169, 1012, 10409, 11530, 2097, 3437, 3980, 1016, 1004, 1018, 1998, 1045, 2097, 2079, 3980, 1015, 1004, 1017, 1012, 6998, 2097, 2022, 1999, 19408, 1012, 1015, 1012, 1007, 1045, 2066, 2026, 15041, 2008, 3310, 2007, 1037, 6904, 2595, 1998, 26221, 4972, 1012, 1016, 1012, 1007, 2043, 1045, 2001, 1037, 18401, 1010, 1045, 2018, 2000, 2031, 4937, 3490, 2361, 1010, 10899, 1998, 2051, 2005, 11131, 1998, 2652, 1012, 1017, 1012, 1007, 1045, 5247, 1996, 2087, 2051, 3241, 2055, 1529, 2085, 2008, 2003, 7823, 3160, 1012, 9906, 1045, 1521, 2310, 2042, 3241, 1037, 2843, 2055, 2026, 2338, 1012, 1018, 1012, 1007, 11131, 1037, 2235, 5234, 1999, 1996, 8102, 1045, 1521, 2310, 2196, 2042, 1999, 2003, 1037, 3891, 4276, 2635, 1012, 1016, 1052, 2243, 2290, 1012, 1006, 1017, 11472, 1012, 2169, 1007, 15333, 3363, 1011, 1051, 10498, 2630, 14894, 21500, 20363, 1012, 1016, 1052, 2243, 2290, 1006, 1017, 11472, 1012, 2169, 1007, 15333, 3363, 1011, 1051, 21500, 20363, 1010, 2151, 2417, 14894, 1012, 1017, 10268, 3147, 2300, 1010, 4055, 1012, 1015, 1052, 2243, 2290, 1012, 1006, 1017, 11472, 1012, 1007, 15333, 3363, 1011, 1051, 14380, 14894, 21500, 20363, 1012, 1015, 14366, 1006, 1022, 11472, 1012, 1007, 4658, 11473, 12428, 22286, 1010, 22794, 15557, 1012, 2292, 1521, 1055, 2191, 2009, 1024, 5587, 1015, 1011, 1015, 1013, 1016, 10268, 16018, 2300, 2000, 2630, 21500, 20363, 4666, 1999, 5396, 4605, 1025, 16130, 1016, 2781, 2127, 3294, 8314, 1012, 9377, 1999, 3584, 4605, 2007, 2417, 21500, 20363, 1012, 16130, 1015, 1011, 1015, 1013, 1016, 10268, 3147, 2300, 2046, 21500, 20363, 1999, 2169, 4605, 1012, 12509, 2184, 1011, 2452, 5210, 18282, 2007, 8434, 12509, 1025, 2173, 2006, 21522, 7123, 1012, 10364, 2417, 21500, 20363, 2046, 18282, 1012, 25416, 3089, 4590, 3686, 3429, 2781, 2127, 2275, 2021, 2025, 3813, 1012, 5564, 1010, 25416, 3089, 4590, 3686, 2630, 21500, 20363, 3429, 2781, 1012, 2044, 2322, 2781, 1010, 21969, 14380, 21500, 20363, 1999, 16018, 2300, 1999, 3584, 4605, 1012, 25416, 3089, 4590, 3686, 2423, 2781, 2030, 2127, 3621, 4317, 6675, 1012, 1059, 24158, 2243, 4658, 11473, 2046, 14380, 21500, 20363, 1025, 3659, 2058, 2417, 21500, 20363, 6741, 1999, 18282, 1012, 25416, 3089, 4590, 3686, 2184, 2781, 2030, 2127, 2275, 2021, 2025, 3813, 1012, 3104, 2007, 2630, 21500, 20363, 1012, 25416, 3089, 4590, 3686, 1018, 2847, 2030, 2127, 3813, 1012, 4895, 5302, 6392, 1012, 5955, 1015, 2005, 7681, 1024, 7374, 2478, 4658, 11473, 5507, 2063, 12428, 22286, 1012, 5955, 1016, 2005, 7681, 1516, 2129, 2000, 2191, 1037, 5210, 2302, 1996, 5210, 18282, 1024, 7374, 2004, 2856, 1010, 2478, 2410, 1060, 1023, 1011, 4960, 6090, 1012, 29460, 2007, 3176, 4658, 11473, 1998, 5909, 1006, 2107, 2004, 2630, 20968, 1998, 13137, 20968, 1007, 2000, 13014, 1037, 5210, 1012, 5955, 1017, 1516, 2129, 2000, 4895, 5302, 6392, 1024, 16510, 18282, 1999, 4010, 2300, 2005, 2055, 2321, 3823, 1012, 5251, 4139, 21500, 20363, 2013, 2105, 1996, 7926, 2007, 11052, 3093, 1012, 2173, 11052, 6675, 3529, 5127, 2006, 2327, 1997, 18282, 1012, 1999, 16874, 18282, 1998, 5127, 1012, 3173, 18282, 1998, 5127, 2362, 1010, 6073, 3621, 2000, 29476, 1012, 5251, 6366, 18282, 1998, 2415, 21500, 20363, 2006, 5127, 1012, 5955, 1018, 1516, 2000, 7681, 1024, 7681, 1015, 1006, 1020, 11472, 1012, 1007, 7427, 15333, 3363, 1011, 1051, 21500, 20363, 2005, 1996, 1016, 1006, 1017, 11472, 1012, 1007, 14555, 1012, 1003, 3679, 3643, 2561, 6638, 1016, 1043, 1017, 1003, 23489, 6638, 1016, 1043, 2184, 1003, 9099, 6638, 1014, 1043, 16480, 4244, 27833, 1014, 11460, 13365, 3938, 11460, 1018, 1003, 2561, 2482, 5092, 10536, 7265, 4570, 2538, 1043, 1022, 1003, 23444, 16662, 1014, 1043, 5699, 2015, 2322, 1043, 2871, 1003, 5250, 1016, 1043, 1018, 1003, 17663, 1037, 1004, 17663, 1039, 1014, 1003, 13853, 1004, 3707, 1014, 1003, 1008, 3867, 3679, 5300, 2024, 2241, 2006, 1037, 1016, 1010, 2199, 10250, 10050, 2063, 8738, 1012, 7592, 1998, 6160, 3071, 2000, 6121, 1998, 10409, 11530, 1521, 1055, 6302, 1011, 9927, 4726, 2609, 1012, 10409, 11530, 1998, 1045, 2024, 3407, 2017, 2024, 2182, 1012, 2005, 2216, 1997, 2017, 2040, 2123, 1521, 1056, 2113, 2054, 7842, 5638, 5095, 1006, 1998, 2748, 2057, 2113, 2009, 1521, 1055, 4465, 1007, 2003, 2182, 2003, 1037, 4766, 7526, 2008, 2453, 2393, 2017, 1012, 2009, 2003, 1024, 1996, 13528, 1013, 14361, 8875, 1006, 1055, 1007, 4375, 2091, 2030, 2057, 1523, 5343, 1524, 2013, 7381, 4341, 1998, 16215, 16338, 5324, 2061, 2027, 2123, 1521, 1056, 2203, 2039, 1999, 1996, 11669, 8026, 1012, 5167, 2057, 1521, 2310, 2039, 23490, 2094, 2612, 1997, 6886, 2068, 2185, 1012, 5167, 2057, 1521, 2310, 13671, 1999, 1037, 10938, 8082, 2126, 2000, 2191, 2068, 2062, 3376, 2030, 14976, 2084, 2077, 1012, 1996, 2364, 2801, 2003, 4760, 2129, 2057, 8813, 2030, 2128, 8557, 2030, 5541, 2135, 10938, 2477, 2008, 2031, 2070, 2381, 2000, 2068, 1010, 2089, 2022, 1037, 2978, 6247, 2021, 6600, 2024, 2145, 6179, 1013, 3376, 1998, 2411, 2031, 2839, 1012, 2085, 2008, 2017, 2113, 2054, 7842, 5638, 5095, 2003, 10409, 11530, 1998, 1045, 3246, 2017, 2097, 3942, 23265, 4937, 2480, 2005, 1996, 7842, 5638, 5095, 9927, 6154, 1998, 2005, 2062, 2592, 1012, 2009, 1521, 1055, 2025, 2069, 4569, 2021, 2009, 2453, 2074, 2131, 2017, 2062, 4026, 2006, 2115, 9927, 1012, 2057, 2298, 2830, 2000, 3773, 2054, 2017, 2031, 1999, 3573, 2005, 2149, 1012, 2065, 2017, 2064, 1521, 1056, 2191, 2009, 2006, 18860, 2053, 15508, 7842, 5638, 5095, 9927, 6154, 2788, 16180, 2055, 1019, 2420, 1012, 2005, 2062, 18558, 2175, 2000, 1996, 4957, 2682, 1998, 3198, 2068, 1012, 10409, 11530, 1998, 1045, 2031, 2005, 2256, 7842, 5638 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3728, 1010, 2585, 20481, 2884, 1010, 10184, 24964, 11624, 1998, 1045, 2020, 2170, 2588, 2000, 6509, 1999, 3674, 9751, 2073, 11385, 2001, 7932, 2058, 1037, 2312, 2181, 1010, 1998, 14766, 2071, 2025, 9689, 20811, 1996, 2752, 2073, 2152, 3177, 14670, 2089, 2031, 3659, 3350, 2058, 2312, 6857, 1010, 17837, 2752, 1012, 1999, 2023, 3327, 2553, 1010, 1037, 19329, 7559, 8698, 2948, 2089, 2031, 5281, 1037, 5830, 10236, 2105, 1996, 5725, 18929, 1998, 8797, 1010, 9280, 4815, 1996, 5725, 8797, 2646, 1996, 4451, 1997, 1996, 2948, 1010, 4786, 1037, 2152, 3177, 9963, 1997, 1996, 6738, 3188, 2000, 4254, 1012, 11385, 2001, 3659, 2058, 1037, 4659, 4838, 2181, 1010, 2007, 2070, 3350, 4895, 14876, 8630, 1012, 1523, 1996, 7739, 2001, 2006, 2049, 2157, 2217, 1999, 14897, 19441, 15205, 5532, 9291, 2012, 2019, 6678, 1997, 1020, 1010, 6356, 2487, 3027, 2812, 2712, 2504, 1006, 5796, 2140, 1007, 1012, 1996, 3886, 2146, 2240, 5830, 19209, 1996, 2364, 18929, 10491, 1998, 2001, 2036, 4372, 27898, 1999, 1996, 5459, 5725, 18929, 1012, 1996, 5725, 18929, 2007, 2028, 6085, 4987, 2001, 2538, 3027, 1012, 2013, 1996, 2364, 21056, 1012, 3155, 2382, 3027, 1012, 1997, 2146, 2240, 1998, 2028, 5725, 18929, 6085, 2020, 2025, 2284, 1012, 1996, 7471, 27790, 2099, 2001, 19342, 3027, 1012, 2013, 1996, 2364, 21056, 1012, 1524, 2007, 1037, 4394, 5725, 18929, 6085, 1998, 1996, 4394, 2146, 2240, 1010, 24075, 2948, 2020, 2170, 1999, 2000, 3073, 1037, 2152, 5813, 4949, 1997, 1996, 17638, 2181, 1013, 9291, 1010, 1999, 8069, 1997, 26339, 1996, 4394, 3033, 2008, 2089, 2030, 2089, 2025, 4681, 1999, 1996, 5823, 4812, 1012, 1996, 9291, 2001, 3697, 1998, 4895, 5714, 21572, 7178, 1010, 9034, 2176, 1011, 5217, 3298, 4683, 2005, 3229, 2046, 1996, 5823, 2609, 1012, 2349, 2000, 4803, 9291, 1010, 2057, 2700, 2000, 4888, 1013, 2455, 1996, 2948, 2013, 1996, 3284, 2391, 7882, 2000, 1996, 5823, 3945, 2181, 1010, 2029, 24058, 1037, 2561, 1997, 3155, 3963, 4631, 1012, 5815, 2000, 1996, 7669, 1997, 4531, 4394, 3033, 2001, 2008, 1996, 7739, 2001, 6822, 3139, 1999, 4462, 8877, 10236, 1010, 2247, 2007, 2417, 1998, 2304, 8877, 10236, 1010, 2383, 3728, 2042, 5058, 2005, 1037, 3119, 2265, 2073, 1996, 7739, 2001, 6913, 1012, 2057, 3369, 2006, 3496, 4273, 2007, 3653, 1011, 8209, 8224, 3011, 8964, 2015, 1010, 1998, 2019, 2801, 1997, 15502, 5269, 2000, 2173, 2698, 7415, 2386, 1043, 21906, 15303, 1010, 2029, 2052, 3499, 2149, 2000, 5425, 19387, 2243, 2685, 2005, 10640, 1010, 1998, 6410, 5495, 2685, 2320, 1996, 4871, 2020, 8209, 2046, 14255, 2595, 2549, 2094, 1012, 2057, 3653, 1011, 3740, 1996, 3462, 2005, 2019, 5186, 2152, 2598, 16227, 3292, 1006, 28177, 2094, 1007, 2779, 1997, 1012, 1018, 27487, 2566, 22138, 1012, 2349, 2000, 1996, 14897, 9291, 1010, 2023, 28177, 2094, 2052, 8137, 2013, 1996, 2327, 2000, 1996, 3953, 1997, 1996, 2609, 1012, 2057, 3740, 2000, 5425, 1996, 4254, 3295, 2012, 2536, 28177, 2094, 2005, 2190, 3746, 9312, 1010, 14985, 2004, 4389, 2004, 1012, 1016, 27487, 9397, 2595, 1012, 2070, 1997, 2122, 4871, 2052, 2022, 15105, 2005, 1996, 2345, 6434, 1010, 1998, 2109, 2069, 2005, 5682, 1997, 4812, 1012, 2348, 1996, 3452, 28177, 2094, 2001, 3618, 2084, 4072, 1010, 1996, 3125, 2003, 2000, 2022, 2583, 2000, 24095, 1999, 2200, 2784, 2006, 4600, 3139, 2752, 2007, 1996, 3754, 2000, 5646, 1996, 4489, 2090, 5749, 1998, 4022, 3350, 1010, 12067, 14766, 2000, 3193, 1996, 3452, 3496, 3081, 1037, 1017, 1012, 1019, 16351, 20248, 3775, 4246, 1999, 8224, 3011, 1010, 1998, 6523, 2067, 2000, 1996, 14255, 2595, 2549, 22117, 29098, 2121, 2622, 2320, 10155, 1013, 9240, 1012, 1996, 2168, 3496, 15718, 3988, 12115, 2685, 1012, 2348, 2551, 3495, 1999, 14255, 2595, 2549, 2094, 3640, 1996, 2190, 1999, 1011, 5995, 3193, 1997, 2169, 3265, 6302, 1010, 1996, 8224, 3011, 2058, 8485, 1013, 20248, 3775, 4246, 12939, 1037, 16286, 2784, 7749, 1012, 2478, 2048, 1997, 1996, 3728, 2207, 8740, 9834, 23408, 2080, 2462, 4013, 2948, 1010, 2057, 3740, 1996, 6416, 2061, 2008, 2028, 2948, 2052, 6133, 2167, 1013, 2148, 17506, 2096, 1996, 2060, 4110, 2264, 1013, 2225, 17506, 1012, 4041, 1996, 3260, 1999, 2023, 5450, 4473, 2005, 2431, 1996, 2147, 2051, 1010, 2096, 11847, 1996, 2972, 3496, 1012, 2023, 2003, 1996, 2168, 4118, 2057, 2109, 2000, 5425, 1996, 15418, 2782, 5286, 2206, 1996, 2028, 2255, 5008, 1999, 5869, 7136, 1010, 7756, 1012, 1996, 3078, 4489, 2003, 1999, 1996, 3452, 2946, 1010, 2007, 1996, 14255, 23555, 3260, 2108, 3053, 3963, 4631, 1010, 2096, 1996, 5869, 7136, 2782, 2598, 5008, 2181, 2003, 2104, 2322, 4631, 1999, 2561, 1012, 2714, 2000, 1996, 5869, 7136, 5008, 3496, 1010, 5192, 20870, 1013, 3496, 7897, 2001, 1037, 5142, 1025, 3909, 2048, 2948, 2927, 2012, 2340, 1024, 4002, 1037, 1012, 1049, 1012, 1998, 3909, 2127, 1015, 1024, 2382, 11553, 1999, 9992, 3314, 2007, 5192, 1012, 15850, 1998, 13589, 16396, 2015, 2020, 4846, 2000, 5676, 2008, 1996, 23408, 2080, 2462, 4013, 2948, 2071, 2025, 4298, 8902, 24198, 1010, 2057, 2275, 2125, 2012, 4500, 3903, 1997, 1996, 2181, 1010, 2012, 2367, 2685, 1999, 2051, 1010, 2007, 1037, 2261, 2519, 1997, 7471, 16396, 2794, 1999, 2005, 2019, 3176, 22936, 1997, 2250, 2090, 1996, 23408, 2080, 2462, 1012, 2057, 16984, 1996, 6416, 2000, 4875, 2012, 1037, 2896, 3177, 1997, 2340, 5601, 1013, 2385, 22540, 2015, 2000, 5676, 2008, 1996, 2152, 28177, 2094, 1013, 2659, 7998, 4871, 2052, 2022, 15594, 1998, 4550, 1012, 2009, 2003, 2825, 2000, 4875, 5514, 1998, 3143, 1996, 3260, 10076, 1010, 2664, 2007, 1996, 1017, 3178, 3604, 2051, 2013, 5869, 7136, 2000, 1996, 5823, 2609, 1010, 2057, 2359, 2000, 5676, 2673, 2001, 4110, 2012, 2049, 2190, 2825, 5813, 2007, 2053, 14819, 1010, 9039, 1010, 2030, 4728, 8315, 13425, 1012, 3452, 1010, 2169, 2948, 21764, 2274, 10274, 1010, 2007, 2256, 10274, 2275, 2000, 3863, 26828, 2012, 2382, 1003, 1012, 2561, 3260, 2770, 2051, 2001, 3621, 2058, 1016, 1012, 1019, 2847, 2566, 2948, 1010, 2007, 3176, 6410, 3462, 2058, 1996, 3496, 1997, 4254, 9034, 2178, 3429, 2781, 1997, 3462, 2051, 2000, 5425, 2784, 6987, 1012, 2057, 2036, 4110, 13425, 5307, 1996, 12108, 3578, 2012, 1996, 2327, 1997, 1996, 3137, 2005, 2240, 1997, 4356, 4431, 1010, 1998, 4871, 5307, 1996, 2197, 2124, 4899, 2181, 1010, 2153, 2005, 5107, 4431, 2000, 4022, 3210, 1997, 4356, 1012, 2011, 12106, 1013, 4899, 2013, 1996, 3284, 2391, 1999, 1996, 2181, 2000, 2022, 17715, 1010, 2057, 2020, 2583, 2000, 4468, 2151, 4742, 3279, 2408, 1996, 4600, 17172, 2181, 1012, 2000, 5676, 1058, 10483, 2001, 5224, 2012, 2035, 2335, 1010, 4419, 27942, 2100, 1040, 14142, 16086, 1521, 1055, 2020, 5614, 1998, 1999, 2358, 3217, 10472, 5549, 2005, 2119, 4520, 1997, 6416, 1006, 1996, 4419, 27942, 2100, 7497, 8934, 2003, 2443, 2007, 1996, 8740, 9834, 23408, 2080, 2462, 4013, 1998, 23408, 2080, 2462, 7037, 17638, 14012, 18628, 1007, 1012, 2320, 2019, 3988, 3462, 2000, 4638, 7524, 1013, 4950, 10906, 2001, 2864, 1010, 2247, 2007, 3115, 2491, 20470, 15148, 14148, 1998, 2060, 3653, 1011, 3462, 8518, 1010, 2057, 2741, 1996, 2948, 2006, 2037, 2126, 1012, 11847, 2058, 25961, 4871, 1010, 2057, 7039, 3746, 3737, 18043, 2000, 5676, 18700, 1012, 2320, 1996, 6416, 2020, 3143, 1010, 2057, 5225, 2000, 1996, 2609, 1997, 4254, 2000, 5425, 20658, 2015, 1997, 1996, 3563, 2181, 1999, 2344, 2000, 3443, 1037, 2062, 9742, 2944, 1013, 4949, 1997, 1996, 5025, 4254, 2609, 1012, 2057, 2036, 21118, 5520, 1037, 23188, 2770, 5903, 2000, 1996, 2391, 1997, 4254, 2000, 5646, 2065, 2151, 3176, 11385, 2001, 2179, 1006, 2057, 2106, 2424, 2195, 2235, 4109, 1997, 13478, 1010, 5906, 5071, 2000, 2022, 3459, 2125, 2012, 4254, 1010, 1998, 2060, 11385, 1012, 1996, 3988, 2391, 20464, 19224, 2165, 3155, 2260, 2847, 2000, 17552, 1010, 11717, 1037, 2152, 1011, 3737, 1010, 3811, 9742, 3988, 6112, 1012, 2044, 10201, 1999, 2391, 7711, 1010, 10060, 4094, 14679, 2004, 1037, 4638, 1010, 1998, 2128, 1011, 23569, 27605, 5422, 1996, 2622, 1999, 14255, 2595, 2549, 2094, 1010, 1996, 2117, 3357, 2001, 10155, 2000, 3443, 1996, 9742, 2391, 6112, 1012, 2057, 2020, 9860, 2012, 1996, 3737, 1997, 1996, 9742, 2391, 6112, 1010, 2445, 1996, 2312, 2181, 1012, 1996, 9742, 2391, 6112, 2003, 7812, 2005, 5682, 1997, 9854, 1012, 2348, 2023, 4066, 1997, 2609, 2052, 4050, 5770, 1006, 17453, 1007, 2013, 3793, 12228, 1013, 6885, 1996, 20437, 1010, 2009, 2001, 2025, 4072, 2349, 2000, 1996, 2152, 2193, 1997, 2685, 1998, 2784, 6987, 1996, 5257, 1997, 14255, 2595, 2549, 2094, 1998, 8740, 9834, 23408, 2080, 2462, 4013, 3024, 1012, 2023, 3039, 2149, 2000, 7276, 3563, 2685, 2073, 2057, 3373, 2685, 1997, 3350, 2089, 2022, 2284, 1010, 5026, 2039, 1996, 2152, 5813, 4871, 7882, 2000, 2008, 2181, 1012, 14766, 2020, 2583, 2000, 2784, 1011, 11529, 2046, 1996, 2181, 1998, 12453, 2235, 3033, 1010, 3904, 1997, 2029, 2020, 7882, 2000, 2488, 4824, 1996, 3426, 1997, 1996, 5823, 1012, 1523, 1996, 2622, 7013, 4229, 1010, 4413, 2575, 1010, 16327, 14134, 2685, 1998, 2410, 1010, 6390, 2475, 1010, 6486, 2581, 7605, 2685, 2013, 1037, 5257, 1997, 3053, 1021, 1010, 2199, 4871, 1012, 1524, 2478, 2023, 4118, 1997, 15252, 1996, 2609, 4473, 14766, 2000, 2156, 2062, 6171, 1010, 2007, 3754, 2000, 8385, 11628, 2752, 1010, 6709, 7060, 2013, 2019, 8964, 3193, 1010, 1998, 9689, 3945, 2005, 3176, 3350, 2008, 2089, 2025, 2022, 7801, 2011, 4316, 2030, 3329, 1012, 6719, 2296, 4960, 1997, 1996, 2609, 2089, 2022, 2908, 2058, 1012, 2582, 1010, 2478, 1037, 3528, 1997, 3274, 1011, 11553, 3945, 5906, 1010, 14766, 2089, 13354, 1999, 2019, 4646, 2000, 3945, 2005, 3563, 3609, 11709, 1012, 2005, 2742, 1010, 2172, 1997, 1996, 13478, 2003, 2417, 1999, 3609, 1010, 4352, 14766, 2000, 3945, 2005, 1037, 3563, 2846, 1997, 2417, 6087, 1012, 4109, 1997, 13478, 2004, 2235, 2004, 1015, 1524, 2020, 3603, 2478, 2023, 4118, 1012, 4408, 2317, 3039, 2005, 4531, 2070, 5167, 1010, 2096, 1014, 1011, 2385, 2504, 2304, 3039, 2005, 4531, 2060, 2235, 5200, 2107, 2004, 6293, 2545, 1010, 6994, 8758, 1010, 1998, 3514, 18484, 1012, 2478, 1037, 6994, 2107, 2004, 1996, 26718, 6072, 14644, 2818, 19123, 2000, 5425, 1996, 19387, 2243, 20248, 4135, 10719, 2592, 1010, 2057, 2036, 2224, 1996, 26718, 6072, 14644, 2818, 17638, 3550, 13855, 2004, 1037, 22574, 2391, 20464, 19224, 13594, 2029, 2089, 2022, 5079, 2046, 1996, 14255, 2595, 2549, 22117, 29098, 2121, 4646, 1012, 11847, 2334, 13594, 2951, 2013, 1037, 12350, 7339, 2007, 1043, 21906, 1521, 1055, 1999, 1996, 3746, 3499, 2005, 5186, 2784, 6987, 1999, 2235, 10058, 1012, 2023, 2003, 3391, 7070, 2005, 2810, 4573, 2030, 4592, 27404, 1010, 2247, 2007, 3594, 2005, 1051, 2483, 1010, 4385, 1012, 1011, 28177, 2094, 1012, 2023, 2003, 4187, 1012, 2045, 2003, 1037, 5703, 2090, 7998, 1998, 17678, 28556, 1010, 2007, 2035, 4072, 3808, 16852, 1012, 7471, 9972, 1012, 1999, 1996, 2724, 1997, 2019, 1051, 2483, 2073, 3681, 2031, 2042, 19209, 1010, 1996, 3754, 2000, 4875, 7471, 9972, 1998, 5425, 2068, 2007, 1037, 8335, 28177, 2094, 2097, 2175, 1037, 2146, 2126, 2000, 4526, 1037, 5372, 2944, 1012, 5192, 20870, 1012, 2065, 1996, 3496, 2003, 2200, 2312, 1010, 2051, 2097, 8100, 4875, 2011, 1998, 2061, 2097, 1996, 3103, 1012, 1999, 2070, 3785, 1010, 2009, 1521, 1055, 3697, 2000, 2113, 1996, 4489, 2090, 6402, 6017, 1998, 6281, 1012, 1037, 2978, 1997, 3325, 1998, 21470, 2097, 2393, 6133, 2023, 4119, 1012, 1011, 7524, 1012, 9361, 7524, 3188, 2000, 1996, 3260, 2003, 2200, 2590, 1010, 3391, 2065, 2019, 4646, 2066, 14255, 2595, 2549, 16200, 18908, 3475, 1521, 1056, 2800, 2005, 5915, 12375, 2000, 4638, 1996, 2951, 2006, 1011, 2609, 1012, 6466, 1997, 3103, 1013, 2051, 1997, 2154, 1012, 1997, 2607, 1010, 13436, 1010, 10444, 1010, 4126, 1010, 1998, 2060, 5019, 4148, 2043, 2027, 4148, 1012, 2174, 1010, 2065, 1996, 3496, 4473, 2005, 5425, 1999, 1996, 22878, 2847, 1010, 6723, 1996, 4495, 1998, 2022, 8794, 1012, 2023, 2003, 4919, 1996, 3114, 2008, 2256, 2136, 2764, 2305, 1011, 2051, 22174, 1013, 2951, 17695, 11244, 1010, 2085, 15826, 2011, 2195, 2731, 4411, 2408, 1996, 2406, 2058, 3522, 2086, 1012, 1011, 2058, 17695, 11244, 1012, 2205, 2172, 17702, 2003, 6022, 9544, 3085, 2000, 2104, 17695, 11244, 1012, 2030, 2705, 2080, 1998, 11643, 4007, 2293, 4871, 1012, 1011, 20658, 2015, 1012, 5425, 20658, 2015, 7188, 2825, 1012, 7539, 1997, 3832, 2224, 1010, 5425, 1996, 16108, 5328, 1997, 1037, 3496, 1012, 2043, 2825, 1010, 11506, 2007, 2598, 1011, 2504, 12350, 12126, 1012, 2823, 2023, 2089, 2022, 2190, 8885, 2011, 3788, 1996, 3496, 13443, 2007, 1996, 25423, 1010, 11847, 2004, 1996, 2948, 2003, 2939, 1012, 2057, 16755, 9268, 24387, 1999, 2122, 8146, 2000, 5676, 3071, 1521, 1055, 3808, 1012, 2054, 6433, 2043, 2122, 2685, 2024, 2404, 4998, 1029, 2023, 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, 27885, 8583, 12742, 2135, 9344, 2115, 2188, 2667, 2000, 2562, 2115, 2155, 2013, 2893, 5305, 1029, 1996, 26629, 2758, 2045, 2003, 6947, 2008, 4487, 11493, 25969, 2075, 2115, 2188, 1998, 2147, 2686, 7919, 2064, 2393, 2954, 2067, 2114, 1996, 19857, 1998, 21887, 23350, 1012, 2062, 1024, 2149, 4483, 3860, 4034, 2862, 1997, 4487, 11493, 25969, 11390, 2000, 4047, 3209, 2013, 3117, 21887, 23350, 1996, 25551, 2518, 2017, 2064, 2079, 2119, 2012, 2188, 1010, 1999, 1996, 2436, 1010, 2030, 2041, 1999, 2270, 2003, 9378, 2115, 2398, 1012, 2021, 2017, 2031, 2000, 9378, 2115, 2398, 1996, 6149, 2126, 1012, 2079, 1024, 14548, 2115, 2398, 2362, 2007, 7815, 2005, 2012, 2560, 2322, 3823, 1012, 3046, 4823, 1005, 3407, 5798, 1005, 2030, 1005, 1996, 12440, 2299, 1005, 2096, 12699, 1012, 7294, 2023, 2051, 2928, 2003, 6827, 1012, 2079, 1024, 2562, 2115, 2398, 7302, 2091, 1010, 2061, 6530, 2300, 2180, 1005, 1056, 2448, 2046, 2115, 15114, 2079, 1024, 18157, 2296, 2112, 1997, 2115, 2192, 1010, 2164, 1996, 2067, 1997, 2115, 2398, 1998, 16784, 1012, 3141, 1024, 2673, 4841, 2342, 2000, 2113, 2055, 21887, 23350, 1998, 3342, 1010, 2936, 4344, 10063, 2064, 6496, 2062, 10327, 2084, 7820, 10063, 1012, 1000, 2017, 2428, 2342, 2000, 3579, 2006, 2115, 12206, 1012, 1037, 2843, 1997, 2111, 9378, 2037, 9486, 1010, 2021, 2065, 2017, 2228, 2055, 2054, 2017, 3543, 1996, 2087, 1010, 2009, 1005, 1055, 2115, 12206, 1010, 1000, 2056, 2852, 1012, 2745, 11132, 1010, 16514, 4295, 8325, 2012, 21183, 20192, 24658, 1013, 21183, 11572, 1012, 2123, 1005, 1056, 1024, 3543, 1996, 6904, 18796, 2102, 2030, 7752, 1012, 2008, 2097, 2069, 9530, 15464, 14776, 2115, 3096, 1012, 2123, 1005, 1056, 1024, 5293, 2000, 3929, 4318, 2115, 2398, 1012, 4954, 2398, 3659, 16216, 10867, 2015, 6082, 2084, 2043, 2027, 2024, 4318, 1012, 1996, 26629, 2003, 2085, 14328, 5661, 2000, 22400, 1998, 19974, 13387, 2091, 2037, 16165, 9972, 2000, 5383, 1996, 3659, 1997, 2151, 9280, 9252, 7865, 1012, 4363, 1996, 2436, 16216, 10867, 2489, 2987, 1005, 1056, 2074, 2812, 14612, 2673, 2091, 1010, 2021, 10549, 2054, 2017, 4550, 2007, 1998, 2129, 2017, 4550, 5362, 1012, 2079, 1024, 13387, 2091, 2673, 2012, 2115, 4624, 2030, 1999, 2115, 2436, 2012, 2560, 2320, 1037, 2733, 2000, 2644, 2047, 16216, 10867, 2015, 2013, 3652, 1012, 2079, 1024, 2681, 4487, 11493, 25969, 4630, 12509, 2015, 2000, 2717, 2006, 1996, 3302, 2005, 2012, 2560, 2184, 3823, 2077, 14612, 2009, 2091, 1012, 2079, 1024, 13387, 2673, 2091, 2007, 1037, 4840, 13387, 2030, 8416, 1012, 2008, 2950, 2115, 8000, 1010, 9019, 1010, 1998, 2972, 4624, 3242, 1012, 4092, 1997, 2115, 9019, 1010, 11238, 2009, 2058, 2043, 2017, 2681, 1996, 2436, 2296, 2154, 1012, 2123, 1005, 1056, 1024, 5293, 2000, 2224, 1996, 2028, 1011, 2126, 13387, 4118, 1012, 2017, 2196, 2215, 2000, 13387, 1999, 2028, 3257, 1998, 2175, 2067, 2058, 2009, 1999, 1996, 4500, 3257, 2138, 2017, 2097, 12816, 16216, 10867, 2015, 2017, 2074, 12176, 2039, 1012, 2123, 1005, 1056, 1024, 4318, 1037, 3302, 2044, 2478, 2019, 3424, 3676, 21162, 4818, 13387, 1012, 2017, 2031, 2000, 2292, 2216, 2250, 4318, 1012, 2062, 1024, 1022, 3971, 2000, 19857, 1011, 6947, 2115, 2188, 1000, 1045, 1005, 2310, 2823, 2464, 2111, 2224, 1996, 13387, 1998, 2059, 13387, 2009, 2125, 1998, 2153, 1012, 2008, 1005, 1055, 2074, 2025, 2004, 4621, 1012, 2017, 2342, 2000, 2292, 2008, 2250, 4318, 1010, 2061, 1996, 4487, 11493, 25969, 4630, 1999, 1996, 2058, 1011, 1996, 1011, 4675, 4933, 2097, 2031, 2438, 2051, 2000, 3102, 1996, 16216, 10867, 2015, 1010, 1000, 2056, 2852, 1012, 11132, 1012, 3342, 1010, 2025, 2035, 3688, 2097, 2147, 1999, 2115, 2188, 1012, 2298, 2012, 1037, 5835, 1997, 1048, 7274, 4747, 1010, 5760, 3363, 2030, 18856, 14604, 2595, 1012, 2017, 1005, 2222, 2156, 1037, 4366, 2008, 1996, 8417, 2064, 3102, 5585, 1012, 1023, 1003, 1997, 10327, 1998, 18191, 1010, 2164, 1996, 21887, 23350, 1012, 2216, 4447, 2024, 2995, 2429, 2000, 1996, 2415, 2005, 16012, 27082, 15535, 5134, 1012, 2027, 1005, 2310, 2580, 1037, 2862, 1997, 2062, 2084, 2531, 3201, 2000, 2224, 1010, 29454, 27892, 1998, 13387, 3085, 16012, 6895, 9305, 3688, 2008, 1996, 19044, 2038, 4844, 2004, 4621, 2012, 4288, 18191, 2066, 1996, 21887, 23350, 1012, 2182, 2003, 1996, 2862, 1024, 1015, 1012, 11899, 4487, 11493, 25969, 4630, 1016, 1012, 11899, 1041, 1011, 10768, 13306, 5178, 1017, 1012, 2403, 4606, 3424, 3676, 21162, 4818, 2035, 1011, 3800, 20133, 1018, 1012, 2322, 8699, 4487, 11493, 25969, 4630, 20133, 1019, 1012, 17273, 2301, 1053, 1020, 1012, 1017, 2213, 4487, 11493, 25969, 4630, 20133, 22110, 2102, 10152, 1021, 1012, 1017, 2213, 16914, 2015, 4487, 11493, 25969, 4630, 20133, 10152, 1022, 1012, 1017, 2213, 16914, 2015, 4487, 11493, 25969, 4630, 20133, 4840, 6518, 10152, 1023, 1012, 1017, 2213, 8699, 24209, 4017, 4487, 11493, 25969, 4630, 20133, 10152, 2184, 1012, 1017, 2213, 24209, 4017, 4487, 11493, 25969, 4630, 20133, 10152, 2340, 1012, 1037, 1011, 3429, 2575, 2462, 4487, 11493, 25969, 4630, 20133, 2260, 1012, 9353, 2015, 11352, 1015, 1011, 2028, 1011, 3357, 4487, 11493, 25969, 4630, 2137, 5072, 3001, 6273, 21619, 1011, 4293, 1011, 6564, 12740, 2620, 2410, 1012, 2035, 3800, 6819, 2890, 2595, 2403, 1012, 2035, 3800, 6819, 2890, 2595, 7578, 2100, 1010, 4297, 1012, 10011, 1011, 6640, 1011, 3963, 2575, 22907, 2321, 1012, 9140, 2512, 1011, 5648, 28249, 20133, 1004, 4487, 11493, 25969, 4630, 2385, 1012, 13642, 5339, 11867, 29180, 16975, 4487, 11493, 25969, 4630, 20133, 2459, 1012, 1038, 19738, 2818, 4487, 11493, 25969, 4630, 20133, 17338, 20470, 4297, 2324, 1012, 12992, 13710, 2692, 25022, 2361, 2539, 1012, 12992, 13710, 2692, 2322, 1012, 12992, 3302, 3949, 2538, 1012, 10309, 2658, 2002, 19707, 29336, 17273, 2570, 1012, 10131, 17683, 17338, 8699, 4487, 11493, 25969, 4630, 2603, 1012, 10131, 17683, 17338, 2028, 1011, 3357, 4487, 11493, 25969, 4630, 1011, 2139, 7716, 10050, 6290, 1011, 20133, 2484, 1012, 10131, 17683, 2624, 5555, 2890, 14380, 24209, 4017, 2423, 1012, 10131, 17683, 2624, 5555, 2890, 12927, 24209, 4017, 2656, 1012, 10131, 17683, 2624, 5555, 2890, 7222, 24209, 4017, 2676, 1012, 10131, 17683, 2624, 5555, 2890, 24209, 4017, 11899, 2654, 1012, 10131, 17683, 2624, 5555, 2890, 24209, 4017, 17273, 2756, 1012, 10131, 17683, 2624, 2072, 1011, 1053, 2475, 1038, 2382, 1012, 10131, 17683, 2744, 23207, 2861, 1012, 9358, 20409, 2624, 14017, 2184, 3590, 1012, 4438, 1059, 11961, 14277, 13669, 4487, 11493, 25969, 4630, 1998, 20133, 3943, 1012, 4550, 4248, 5041, 2846, 24209, 24932, 24041, 2624, 25090, 6290, 4090, 1012, 3154, 6718, 2998, 12509, 1011, 2006, 3486, 1012, 29225, 2319, 4487, 11493, 25969, 4630, 1013, 2624, 25090, 6290, 17338, 20470, 4297, 1013, 10905, 5072, 2522, 1012, 6273, 21619, 1011, 20405, 1011, 5187, 2620, 2683, 4029, 1012, 18856, 14604, 2595, 1018, 1999, 2028, 4487, 11493, 25969, 2075, 12509, 4261, 1012, 18856, 14604, 2595, 4550, 1011, 2039, 20133, 1009, 1038, 19738, 2818, 4229, 1012, 18856, 14604, 2595, 3293, 7300, 18856, 14604, 2595, 1018, 1011, 1999, 1011, 2028, 4487, 11493, 25969, 4630, 1004, 2624, 25090, 6290, 4464, 1012, 18856, 14604, 2595, 3293, 7300, 18856, 14604, 2595, 4550, 1011, 2039, 4487, 11493, 25969, 4630, 20133, 2007, 1038, 19738, 2818, 2871, 1012, 18856, 14604, 2595, 3293, 7300, 18856, 14604, 2595, 4487, 11493, 25969, 2075, 5723, 20133, 4601, 1012, 18856, 14604, 2595, 3293, 7300, 18856, 14604, 2595, 4487, 11493, 25969, 2075, 16012, 9153, 2378, 1004, 19255, 6366, 2099, 4413, 1012, 18856, 14604, 2595, 3293, 7300, 18856, 14604, 2595, 4487, 11493, 25969, 2075, 12509, 4724, 1012, 18856, 14604, 2595, 3293, 7300, 9732, 2566, 28479, 20133, 4487, 11493, 25969, 4630, 4008, 1012, 18856, 14604, 2595, 3293, 7300, 14090, 2595, 7815, 8040, 2819, 6366, 2099, 3429, 1012, 18856, 14604, 2595, 3293, 7300, 11848, 4605, 20133, 2007, 1038, 19738, 2818, 4805, 1012, 18856, 14604, 2595, 4487, 11493, 25969, 2075, 5723, 20133, 4700, 1012, 18856, 14604, 2595, 9871, 1038, 19738, 2818, 16216, 28550, 6895, 9305, 20133, 12509, 4466, 1012, 18856, 14604, 2595, 9871, 11865, 12426, 2078, 20133, 4749, 1012, 18856, 14604, 2595, 9871, 9732, 2566, 28479, 20133, 4487, 11493, 25969, 4630, 2753, 1012, 18856, 14604, 2595, 4800, 1011, 3302, 20133, 1009, 1038, 19738, 2818, 4868, 1012, 18856, 14604, 2595, 9004, 7300, 3935, 5675, 4487, 11493, 25969, 2075, 21101, 1004, 19255, 6366, 2099, 4720, 1012, 18856, 14604, 2595, 6518, 11444, 5723, 4487, 11493, 25969, 4630, 17952, 2121, 5187, 1012, 18856, 14604, 2595, 6518, 11444, 5723, 4487, 11493, 25969, 2075, 17952, 20133, 5139, 1012, 18856, 14604, 2595, 11848, 4605, 20133, 17892, 1038, 19738, 2818, 21500, 4583, 1012, 18856, 14604, 2595, 11848, 4605, 20133, 2007, 1038, 19738, 2818, 5179, 1012, 18856, 14604, 2595, 21572, 18856, 14604, 2595, 2561, 9475, 4487, 11493, 25969, 2075, 20133, 5401, 1012, 3023, 22517, 2658, 2002, 19707, 29336, 17273, 5388, 1012, 7023, 4606, 1016, 5354, 1012, 2522, 3736, 23060, 12488, 3161, 6079, 1012, 4469, 12341, 10020, 2102, 16216, 28550, 6895, 9305, 28283, 11461, 1998, 2139, 7716, 18842, 2102, 5786, 1012, 2833, 3967, 24209, 4017, 2624, 25090, 6290, 6191, 1012, 6469, 2034, 3639, 4185, 1012, 1043, 1011, 1019, 2624, 25090, 6290, 3515, 1012, 3806, 3597, 24209, 24932, 24041, 2624, 25090, 6290, 5764, 1012, 16216, 10867, 1011, 1037, 1011, 28744, 2063, 4185, 6163, 1012, 16216, 28550, 6895, 9305, 20133, 1998, 4487, 11493, 25969, 4630, 5146, 2833, 2326, 6273, 1012, 10905, 3302, 2624, 25090, 6290, 6353, 1012, 10905, 16211, 2102, 2462, 3963, 1012, 1047, 3917, 27082, 3963, 1013, 2382, 6390, 1012, 14380, 20133, 1057, 1055, 5072, 5824, 1012, 14380, 4487, 11493, 25969, 4630, 2137, 5072, 3001, 6421, 1012, 1048, 7274, 4747, 1038, 19738, 2818, 18282, 1998, 10256, 7974, 6366, 2099, 6356, 1012, 1048, 7274, 4747, 1038, 19738, 2818, 4800, 1011, 3800, 20133, 4293, 1012, 1048, 7274, 4747, 18856, 2075, 1004, 4840, 11848, 4605, 20133, 6146, 1012, 1048, 7274, 4747, 4487, 11493, 25969, 4630, 4098, 3104, 11094, 6255, 1012, 1048, 7274, 4747, 4487, 11493, 25969, 4630, 12509, 6275, 1012, 1048, 7274, 4747, 14123, 1004, 18399, 11848, 4605, 20133, 6535, 1012, 1048, 7274, 4747, 2373, 4606, 11848, 4605, 20133, 3770, 1012, 1048, 7274, 4747, 2373, 11848, 4605, 20133, 6282, 1012, 7341, 1011, 1015, 19387, 2226, 6445, 1012, 19960, 4179, 12702, 1011, 3102, 1050, 4160, 2629, 6640, 1012, 12702, 8193, 2484, 6391, 1012, 12702, 8193, 2484, 3178, 5723, 20133, 5594, 1012, 12702, 8193, 2484, 3178, 4800, 1011, 3800, 20133, 6564, 1012, 4666, 8585, 16216, 28550, 6895, 9305, 20133, 6584, 1012, 4666, 8585, 12702, 15007, 2512, 1011, 5648, 28249, 20133, 1004, 4487, 11493, 25969, 4630, 6070, 1012, 4666, 8585, 2512, 1011, 5648, 28249, 20133, 1004, 4487, 11493, 25969, 4630, 6486, 1012, 4800, 1011, 3800, 8699, 6887, 16216, 28550, 6895, 9305, 28283, 11461, 3938, 1012, 4800, 1011, 24209, 4017, 13164, 1011, 1015, 6970, 8663, 6205, 1012, 8699, 4487, 11493, 25969, 4630, 20133, 17338, 20470, 4297, 6227, 1012, 8699, 4487, 11493, 25969, 4630, 20133, 5146, 2833, 2326, 6109, 1012, 18128, 4749, 2683, 1044, 2497, 2615, 4487, 11493, 25969, 4630, 6365, 1012, 2028, 1011, 3357, 4487, 11493, 25969, 4630, 20133, 5345, 1012, 6728, 2072, 12403, 3143, 5989, 1012, 23060, 12848, 4313, 1015, 5818, 1012, 23060, 12848, 4313, 26419, 5585, 1012, 23060, 12488, 3161, 2531, 1012, 23060, 2100, 27082, 3679, 4487, 11493, 25969, 4630, 20133, 7886, 1012, 23060, 2100, 1011, 2136, 4487, 11493, 25969, 4630, 20133, 9800, 1012, 2566, 28479, 4487, 11493, 25969, 4630, 1998, 3221, 20133, 19387, 2226, 17338, 20470, 4297, 9645, 1012, 2566, 28479, 4800, 1011, 3302, 20133, 1998, 4487, 11493, 25969, 4630, 8746, 1012, 7222, 20133, 4487, 11493, 25969, 4630, 10114, 1012, 2658, 1048, 7274, 4747, 4487, 11493, 25969, 4630, 12509, 10550, 1012, 5760, 3363, 2833, 6364, 3302, 2624, 25090, 6290, 10715, 1012, 5760, 3363, 9440, 2121, 7903, 2063, 3302, 2624, 25090, 6290, 11518, 1012, 5760, 3363, 9871, 3302, 4487, 11493, 25969, 4630, 7287, 1012, 5760, 3363, 4800, 1011, 3302, 4487, 11493, 25969, 4630, 11118, 1012, 5760, 3363, 2658, 3302, 4487, 11493, 25969, 4630, 11176, 1012, 1053, 1012, 1056, 1012, 1017, 12104, 1012, 1053, 1012, 1056, 1012, 4606, 12457, 1012, 24209, 24932, 24041, 4487, 11493, 25969, 4630, 20133, 10630, 1012, 19387, 2226, 4487, 11493, 25969, 4630, 20133, 12904, 1012, 2624, 2072, 17718, 2833, 2326, 2624, 25090, 6290, 12567, 1012, 2624, 2072, 1011, 2484, 16216, 28550, 6895, 9305, 12509, 12963, 1012, 2624, 5555, 2890, 26419, 2595, 13285, 1012, 2624, 29323, 6593, 4606, 1015, 6036, 1012, 2624, 29323, 6593, 4606, 1016, 4840, 1050, 4550, 12606, 1012, 2624, 2072, 1011, 23760, 27082, 16216, 28550, 6895, 9305, 12509, 13092, 1012, 2624, 2072, 1011, 23760, 27082, 16216, 28550, 6895, 9305, 12509, 13138, 1012, 2624, 2072, 1011, 3539, 16216, 28550, 6895, 9305, 12509, 13412, 1012, 2624, 2072, 1011, 11867, 14778, 2480, 12509, 16392, 2080, 3688, 2194, 8732, 1012, 2624, 25090, 6290, 1013, 3293, 2624, 25090, 6290, 17338, 20470 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 2129, 2000, 4558, 2115, 2166, 1005, 1055, 10995, 1059, 19888, 10085, 3126, 7389, 5666, 1012, 1044, 2509, 2232, 2509, 21572, 16256, 2015, 1087, 1045, 2180, 1005, 1056, 4682, 2023, 2003, 5791, 2033, 1006, 1044, 2509, 2232, 2509, 2299, 1007, 2011, 8040, 14227, 6977, 11631, 2080, 1012, 6066, 1998, 7632, 2721, 1012, 1044, 2509, 2232, 2509, 27325, 2000, 4257, 3011, 29500, 3124, 1012, 1044, 2509, 16110, 11637, 2725, 2026, 25341, 19756, 8605, 2005, 25341, 19756, 999, 17207, 2121, 15378, 1087, 2129, 2000, 4558, 2115, 2166, 1005, 1055, 10995, 1059, 19888, 10085, 3126, 7389, 5666, 2129, 26418, 15608, 2024, 27853, 2554, 1012, 2129, 2000, 4558, 2115, 2166, 1005, 1055, 10995, 1059, 19888, 10085, 3126, 7389, 5666, 6904, 4371, 5085, 1004, 4862, 11488, 8766, 12923, 1001, 3689, 9453, 5339, 5785, 22850, 6086, 1010, 1044, 2509, 2232, 2509, 5443, 6307, 2703, 1012, 3689, 9453, 5339, 2129, 2000, 3066, 9577, 4053, 1999, 21144, 5620, 1011, 6335, 2615, 2140, 2489, 10526, 2075, 5192, 5011, 1012, 2064, 2017, 2830, 2033, 1037, 4471, 2073, 2002, 2758, 2008, 1029, 1045, 2123, 1005, 1056, 2228, 2057, 2031, 1037, 2524, 3058, 2005, 2009, 2021, 2003, 2763, 2183, 2000, 2022, 1999, 1996, 2279, 3232, 1997, 3134, 1012, 2144, 2057, 2024, 2036, 2893, 3201, 2005, 1996, 11829, 17284, 2057, 2024, 5131, 2035, 2838, 2005, 3231, 7159, 2007, 2023, 2197, 10651, 1012, 2214, 2739, 2004, 2000, 2129, 2172, 2027, 2018, 1998, 1999, 2040, 1005, 1055, 6664, 1045, 9120, 1996, 4364, 2499, 2524, 1012, 1012, 1012, 1012, 5128, 1996, 3947, 2000, 9611, 1996, 3291, 1012, 2122, 3471, 2064, 2022, 2200, 2524, 2000, 2131, 2589, 1012, 3531, 2022, 5776, 999, 9765, 6977, 5292, 23402, 15482, 14477, 8668, 17540, 2890, 16091, 13663, 2015, 1012, 16939, 3001, 1010, 2310, 27512, 4259, 4455, 1999, 1010, 6904, 6834, 2115, 2331, 1010, 21146, 6455, 2115, 9200, 2227, 1010, 1037, 25688, 2378, 7566, 2055, 8129, 8715, 1010, 28428, 2096, 6638, 1010, 10089, 5544, 2055, 1996, 2265, 1010, 2054, 6798, 2003, 2124, 2005, 1024, 4550, 2542, 1010, 16521, 2015, 1010, 1998, 6832, 19355, 1010, 27005, 2078, 2003, 2205, 2204, 2012, 3894, 1010, 2026, 2564, 2003, 6016, 15287, 2015, 1010, 1996, 15775, 2480, 1010, 11394, 2610, 1010, 1998, 1037, 3124, 2040, 2180, 1005, 1056, 2644, 3331, 2055, 2010, 5593, 1025, 2035, 2008, 1998, 2062, 2023, 2733, 2006, 1996, 5980, 2265, 999, 4487, 19022, 5685, 1996, 2610, 999, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 9436, 1997, 2068, 1012, 2040, 3791, 7861, 999, 2021, 2057, 2079, 2342, 2619, 1012, 2054, 2065, 21248, 4152, 1037, 2210, 2205, 2613, 1029, 2073, 1996, 2610, 3478, 1010, 1996, 2489, 3006, 2097, 3073, 999, 8398, 3679, 2739, 1517, 3584, 3479, 1012, 2011, 28093, 25918, 8844, 1012, 17542, 2265, 1012, 8398, 1999, 24108, 10514, 3942, 2050, 2139, 9765, 9365, 1037, 27788, 2080, 4895, 13820, 9530, 6232, 3022, 2632, 2632, 9289, 3207, 2139, 8840, 4859, 6072, 1012, 4901, 2038, 21678, 8398, 3171, 11747, 2758, 1037, 2423, 23234, 2052, 3480, 2137, 4610, 1012, 2047, 5002, 1997, 2137, 2413, 1998, 5611, 5181, 3065, 3484, 5993, 2006, 2116, 3314, 2021, 4629, 11443, 2058, 8398, 1012, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 1012, 2047, 9394, 19888, 10085, 3126, 7389, 5666, 6358, 9226, 3976, 1012, 5471, 19888, 10085, 3126, 7389, 5666, 2006, 1037, 12191, 1012, 2003, 19888, 10085, 3126, 7389, 5666, 6153, 2011, 2505, 1012, 2043, 2097, 19888, 10085, 3126, 7389, 5666, 5471, 2203, 1012, 3067, 5670, 19888, 10085, 3126, 7389, 5666, 1012, 2763, 1996, 2034, 2733, 1997, 2285, 1012, 1012, 2763, 2006, 1037, 8292, 2595, 1517, 10433, 2009, 1012, 12530, 2063, 3972, 6643, 2483, 4372, 2123, 3207, 8915, 4372, 10841, 4765, 6072, 1010, 16405, 18352, 4012, 18098, 2906, 18411, 2278, 4372, 3863, 1012, 2008, 3084, 2477, 2061, 2172, 6082, 1012, 2064, 19888, 10085, 3126, 7389, 5666, 2022, 28719, 1011, 2089, 1045, 2113, 1996, 3131, 3976, 1997, 1040, 2546, 19204, 1029, 2129, 2079, 2057, 2113, 2129, 2116, 7824, 2045, 2024, 1999, 3156, 10381, 2546, 1994, 1011, 2129, 1005, 1055, 3071, 1005, 1055, 2540, 1029, 1011, 8840, 2140, 1045, 3342, 2017, 6775, 1011, 6149, 2080, 1012, 8840, 28616, 5302, 17161, 9530, 3802, 2232, 1011, 2748, 1010, 8833, 1999, 2000, 4530, 8758, 1998, 8980, 5371, 2045, 1011, 20934, 2368, 5033, 10514, 11020, 3089, 8193, 3366, 3449, 22136, 9686, 20934, 16515, 1011, 7458, 2005, 2085, 1012, 1012, 23163, 2000, 2203, 2023, 4562, 3006, 2323, 2022, 2105, 1017, 2243, 15975, 1011, 2002, 2595, 999, 1996, 2279, 2502, 2518, 999, 1011, 1998, 5262, 2027, 2288, 2037, 2797, 5096, 2853, 2041, 2205, 1011, 2074, 2907, 1010, 18411, 2278, 2253, 2091, 2205, 3435, 1010, 2009, 2097, 17523, 2067, 10720, 1998, 2031, 1037, 3835, 2154, 1011, 4372, 12124, 8038, 5869, 3158, 1037, 5285, 6299, 1037, 3180, 5869, 6728, 10446, 2229, 8026, 10980, 2015, 18609, 9706, 15808, 10230, 1011, 2339, 2134, 1005, 1056, 2862, 27218, 2015, 1029, 1025, 1006, 1011, 2003, 2009, 1996, 8962, 1045, 1005, 1049, 3241, 1997, 2030, 2003, 1000, 8962, 1000, 1037, 9226, 1045, 2123, 2102, 2113, 2055, 1011, 2054, 2055, 24869, 2497, 1998, 13523, 2594, 1029, 1011, 2054, 4524, 2753, 2243, 4332, 2046, 2066, 1002, 3156, 1012, 1012, 5292, 3270, 2053, 2342, 2005, 1037, 4524, 2043, 2017, 2131, 4979, 2689, 1011, 2065, 2017, 11562, 2006, 2068, 1010, 1037, 29461, 6844, 2099, 2097, 2265, 1996, 4909, 4800, 5332, 2290, 4769, 2006, 2049, 4653, 1006, 2069, 2044, 29461, 6844, 2099, 20119, 2009, 1005, 1055, 2635, 2112, 1997, 2023, 3327, 4800, 5332, 2290, 4769, 1007, 2245, 2017, 2056, 1996, 10216, 2001, 2589, 2009, 3594, 2115, 2334, 5119, 2000, 18144, 7929, 1012, 1012, 1045, 2097, 4638, 2085, 16405, 2229, 3449, 18975, 2080, 2139, 11454, 9686, 3449, 7107, 5054, 2094, 10303, 2204, 2000, 2113, 1012, 1011, 2003, 19888, 10085, 3126, 7389, 5666, 2613, 1011, 8224, 19888, 10085, 3126, 7389, 5666, 6093, 1011, 19888, 10085, 3126, 7389, 5666, 15800, 5310, 8278, 1011, 2327, 19888, 10085, 3126, 7389, 5666, 2862, 1999, 1999, 2099, 1011, 2043, 2106, 1996, 19888, 10085, 3126, 7389, 5666, 3006, 6178, 3362, 3998, 4551, 1011, 5471, 4573, 2005, 2978, 3597, 2378, 1011, 4418, 2978, 3597, 2378, 3976, 1011, 2339, 2003, 3006, 6178, 2590, 1999, 19888, 10085, 3126, 7389, 5666, 1011, 19888, 10085, 3126, 7389, 5666, 3006, 1998, 16371, 5017, 6779, 1011, 2748, 2006, 1037, 2613, 11519, 7941, 3550, 2291, 1012, 1012, 1012, 2017, 2036, 2288, 9253, 1011, 2043, 2003, 1996, 4353, 1997, 19204, 2015, 1010, 2909, 1029, 11454, 19888, 10085, 3126, 7389, 5666, 15536, 3211, 3449, 8879, 15850, 3449, 13910, 13820, 9686, 2590, 2063, 18499, 4226, 9530, 3449, 4135, 16839, 14263, 15530, 14477, 2801, 2139, 2474, 2064, 3775, 14697, 2139, 3850, 10446, 2229, 10861, 2613, 21335, 28578, 2891, 1037, 2474, 7367, 24805, 1010, 3449, 3841, 12879, 27113, 8962, 27742, 2140, 18499, 3850, 10446, 1010, 2566, 4305, 2850, 1012, 9033, 7367, 14163, 18697, 2139, 23055, 2527, 13433, 28032, 11444, 1051, 11265, 20697, 11444, 9765, 2050, 2522, 1011, 2128, 2721, 10446, 8447, 2474, 12256, 11960, 3802, 2232, 1012, 6127, 15134, 2080, 1061, 24570, 8096, 2004, 13910, 4648, 2078, 10861, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 18499, 2019, 2891, 8254, 6643, 11880, 2229, 4372, 4895, 2252, 2139, 5439, 3972, 2343, 2063, 8398, 3449, 10483, 27831, 2078, 10861, 3449, 2343, 2063, 1061, 10514, 2015, 2035, 29107, 12269, 9530, 10085, 2937, 1012, 8685, 27885, 12173, 2953, 28667, 20755, 11865, 8743, 2063, 4315, 15937, 10936, 2080, 2139, 4654, 2343, 2063, 4916, 2080, 18499, 10514, 2158, 2080, 20857, 2050, 9530, 8398, 1012, 2115, 2343, 8398, 4071, 9226, 2003, 2062, 2084, 1037, 7070, 14256, 8875, 2009, 2003, 2019, 5211, 1999, 9062, 11970, 4553, 2062, 2055, 1996, 6666, 1997, 19920, 1999, 2751, 23713, 3165, 1012, 14554, 4360, 8398, 19913, 4895, 11552, 2063, 17447, 13820, 2139, 2079, 23314, 23713, 11721, 22414, 2532, 11498, 2128, 19496, 22573, 9530, 2474, 27788, 2050, 11648, 1012, 10364, 8398, 3393, 4013, 24925, 2078, 4239, 7163, 3367, 2890, 28101, 11639, 7413, 6187, 16475, 14995, 2102, 3802, 2890, 11235, 3779, 999, 9530, 8398, 1061, 3449, 28087, 2080, 2053, 10974, 16183, 8524, 11498, 3050, 19817, 19736, 27875, 16610, 1061, 3449, 18273, 2310, 2638, 6844, 5802, 2080, 1012, 3972, 7848, 2080, 2139, 2175, 14277, 2063, 4372, 8326, 1037, 5869, 9530, 14028, 21736, 2229, 4372, 6186, 3022, 4372, 14373, 24528, 2474, 26927, 20203, 4143, 10446, 2139, 2474, 16183, 6784, 1061, 2474, 1061, 3457, 2401, 10718, 1024, 2474, 23689, 6590, 21885, 21736, 2632, 14262, 7903, 3695, 2139, 6221, 8398, 1012, 1996, 2149, 2085, 5942, 1052, 2475, 2361, 19888, 10085, 3126, 7389, 5666, 3863, 2865, 18558, 2005, 9425, 5097, 8398, 3447, 2000, 2486, 2149, 9425, 9706, 1529, 1012, 8398, 12436, 2232, 11365, 3775, 21877, 4115, 21863, 6914, 1024, 23064, 19845, 1011, 20963, 3406, 11675, 14634, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 9808, 5162, 10556, 6279, 19707, 7361, 6692, 11382, 3981, 2078, 22827, 11488, 1012, 2003, 19888, 10085, 3126, 7389, 5666, 2613, 21877, 10483, 2072, 10250, 18513, 2050, 2139, 17727, 28121, 27742, 2019, 4609, 9793, 2139, 8398, 17540, 2890, 19027, 5897, 4244, 1037, 17540, 2890, 24487, 1012, 15333, 7959, 2139, 11721, 16765, 2618, 6449, 2063, 10861, 22949, 2401, 9033, 7848, 2080, 6970, 7512, 4313, 4372, 3449, 8586, 10446, 2229, 11498, 1037, 10513, 7662, 1037, 8398, 1012, 2866, 13496, 3786, 1996, 5016, 19085, 2046, 1037, 2492, 2005, 8398, 2000, 2156, 2043, 2002, 5565, 1999, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 1012, 1045, 8398, 1037, 11937, 6767, 2721, 9530, 2474, 12512, 29490, 20915, 2696, 1024, 14925, 3597, 2522, 3736, 18740, 6335, 8778, 4135, 2613, 2063, 1012, 8398, 15301, 2050, 2632, 2632, 9289, 3207, 2139, 8840, 4859, 6072, 4372, 3449, 1999, 27113, 2139, 10514, 3081, 6460, 1997, 24108, 2140, 1037, 27788, 2080, 4895, 13820, 1012, 1061, 3449, 18411, 2278, 9765, 5400, 4372, 2158, 2891, 2139, 21864, 2368, 1029, 6928, 2327, 1997, 1996, 17186, 1024, 2110, 2730, 5190, 1997, 11840, 6466, 2869, 3189, 2085, 1996, 8398, 3447, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 6998, 1012, 2572, 4135, 14255, 3207, 1037, 3050, 4916, 2891, 2053, 3653, 10085, 6279, 11650, 2063, 19432, 1051, 15569, 11650, 2063, 18499, 2572, 8189, 4143, 2015, 19027, 5897, 8017, 7951, 2139, 8398, 1012, 6221, 8398, 9686, 4895, 20716, 1061, 14405, 2063, 3449, 10974, 3948, 24403, 6728, 10446, 2229, 1024, 8915, 2139, 17386, 8840, 16270, 6525, 2015, 1051, 8840, 4372, 19699, 4765, 3022, 3449, 2343, 2063, 15614, 7762, 8685, 27885, 12173, 2953, 9706, 12069, 10111, 3672, 2063, 5292, 9686, 3597, 5856, 3527, 28517, 1012, 2096, 2172, 1997, 5365, 2038, 2985, 2049, 2576, 3007, 1999, 1996, 3134, 2144, 1996, 2602, 12559, 14083, 2075, 2343, 1011, 11322, 6221, 8398, 1998, 6904, 7962, 2075, 2058, 22011, 2343, 13857, 8112, 3883, 9851, 4845, 2386, 2038, 2579, 1037, 2367, 1517, 1998, 5121, 9223, 1517, 26997, 1012, 2004, 8398, 2128, 26373, 2015, 2270, 2740, 3513, 7279, 3401, 5927, 4603, 11376, 2141, 2153, 1012, 8398, 3191, 3720, 4711, 1037, 10474, 4906, 2044, 2108, 2041, 2098, 2005, 2383, 2170, 12669, 4819, 2928, 2571, 1012, 1044, 2509, 2232, 2509, 27325, 2000, 4257, 3011, 29500, 3124, 1012, 1044, 2509, 16110, 11637, 2725, 2026, 25341, 19756, 8605, 2005, 25341, 19756, 999, 17207, 2121, 15378, 1087, 2129, 2000, 4558, 2115, 2166, 1005, 1055, 10995, 1059, 19888, 10085, 3126, 7389, 5666, 2129, 26418, 15608, 2024, 27853, 2554, 1012, 6396, 2102, 4357, 2007, 8398, 6367, 2005, 4945, 2000, 3582, 1011, 2039, 6207, 3314, 12480, 24950, 6046, 6110, 3976, 1012, 26033, 6279, 1024, 2062, 4841, 2360, 8398, 2038, 4883, 11647, 2021, 6758, 2488, 2006, 3314, 2084, 2839, 1012, 13420, 24209, 2389, 9006, 2213, 1061, 27178, 8180, 7861, 28994, 3022, 2139, 8915, 2278, 3630, 21197, 2401, 2139, 9765, 28118, 4895, 13820, 2015, 7658, 2139, 27875, 2080, 2139, 6011, 2121, 4007, 9686, 27742, 2140, 11498, 23064, 19845, 19817, 3022, 2474, 2862, 2050, 2139, 11265, 17643, 2139, 8398, 1012, 1044, 2509, 2232, 2509, 27325, 2000, 4257, 3011, 29500, 3124, 1012, 1044, 2509, 16110, 11637, 2725, 2026, 25341, 19756, 8605, 2005, 25341, 19756, 999, 17207, 2121, 15378, 1087, 2129, 2000, 4558, 2115, 2166, 1005, 1055, 10995, 1059, 19888, 10085, 3126, 7389, 5666, 2129, 26418, 15608, 2024, 27853, 2554, 1012, 6221, 8398, 2129, 2000, 10083, 2115, 2166, 2007, 19888, 10085, 3126, 7389, 5666, 1044, 2509, 2232, 2509, 1061, 9765, 21835, 2015, 2139, 25022, 2638, 4372, 3449, 3539, 2099, 9530, 19562, 3406, 2139, 2139, 4950, 2696, 3315, 2483, 1012, 8398, 18806 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1045, 1005, 1049, 1996, 17704, 7966, 2008, 1010, 1012, 1012, 1012, 1045, 1005, 1049, 1996, 17704, 7966, 2008, 1010, 2065, 1045, 2018, 1037, 1002, 11910, 1012, 4002, 22981, 11359, 1045, 1005, 1040, 5653, 1037, 3661, 2007, 2009, 2030, 3582, 2115, 2540, 1998, 2123, 1005, 1056, 3582, 1996, 10873, 1012, 2950, 2026, 10293, 1997, 4996, 2296, 7196, 2316, 2323, 2963, 1012, 1000, 2057, 9699, 6071, 1013, 2057, 9699, 5694, 1013, 2057, 9699, 3470, 4748, 16338, 1999, 1037, 2291, 1000, 24529, 4747, 1011, 6659, 2111, 1005, 2013, 2037, 2047, 6948, 10436, 2182, 2057, 4133, 2153, 2006, 1996, 3341, 1997, 1000, 2054, 1996, 3109, 1000, 1010, 2074, 2006, 1996, 12730, 1997, 1000, 2074, 2054, 10760, 3109, 2020, 2017, 3241, 1000, 1010, 2029, 2003, 2074, 2148, 1997, 1000, 6289, 6616, 2009, 1000, 1998, 1000, 1051, 1012, 1047, 1012, 2008, 1005, 1055, 2009, 1010, 6616, 2035, 1997, 2017, 1012, 1045, 1005, 1049, 2041, 1997, 2182, 1012, 1000, 2320, 2153, 2045, 2003, 1037, 5747, 1999, 1996, 2317, 2160, 1998, 2002, 1005, 1055, 2035, 3201, 2000, 6167, 3067, 2120, 2380, 1999, 1996, 15784, 1997, 2508, 15231, 1998, 1997, 2607, 1010, 12913, 2005, 3514, 1012, 6289, 1998, 6160, 2067, 2000, 1996, 10478, 2307, 26027, 2091, 5543, 1012, 2017, 2113, 2008, 4408, 2801, 2008, 2065, 2017, 2507, 2062, 2769, 2000, 1996, 2111, 2008, 7570, 18752, 2094, 1996, 2087, 1010, 2008, 2070, 2129, 2027, 2024, 2183, 2000, 5247, 2062, 2769, 1998, 2247, 1996, 2126, 2393, 1996, 3532, 1012, 4033, 1005, 1056, 1045, 2657, 2023, 2070, 2073, 2077, 1012, 2821, 2059, 2045, 1005, 1055, 1996, 1002, 3998, 2067, 2518, 1012, 2064, 2017, 2360, 2231, 8808, 1029, 7188, 1045, 2963, 1996, 2773, 5747, 1010, 1045, 2228, 1997, 2023, 7196, 3232, 1045, 2109, 2000, 2113, 4921, 2050, 1998, 7003, 1012, 7003, 2001, 2019, 14813, 1998, 4921, 2050, 2134, 1005, 1056, 4392, 2021, 2016, 2052, 4965, 5747, 5404, 2000, 21741, 7003, 1012, 2016, 2876, 1005, 1056, 2292, 2032, 2031, 2028, 2127, 2002, 2056, 1010, 1000, 3902, 4757, 4757, 2232, 1000, 1012, 7003, 2052, 4133, 2045, 1998, 15385, 2010, 2970, 1998, 8040, 20026, 1999, 2002, 1005, 1055, 2835, 3139, 1999, 1996, 2390, 1997, 10029, 2008, 2628, 2032, 2000, 2035, 1996, 4515, 1997, 1996, 3011, 1998, 2059, 2007, 2023, 12428, 2298, 2006, 2010, 2227, 1010, 2360, 2104, 2010, 3052, 1010, 1000, 5747, 1000, 1012, 1000, 2054, 2001, 2008, 1029, 1000, 1010, 4921, 2050, 2052, 6869, 2096, 2016, 2441, 1996, 2064, 1998, 2218, 2009, 1999, 1996, 2126, 2619, 2052, 2907, 1037, 10768, 24788, 4874, 1012, 7003, 2052, 7514, 3714, 1998, 12428, 1010, 1000, 3902, 4757, 4095, 1000, 1012, 2016, 2052, 2059, 2007, 1037, 2502, 5861, 2006, 2014, 2227, 2192, 2032, 1996, 5404, 1998, 2360, 1010, 1000, 2085, 2054, 2079, 2057, 2360, 1029, 1000, 7003, 2007, 1996, 2431, 2126, 2039, 2000, 2010, 2970, 1010, 5513, 2035, 1996, 2096, 2052, 2360, 1010, 1000, 4283, 4921, 2050, 1012, 1000, 2574, 1996, 5404, 2052, 2022, 2908, 1998, 2009, 2052, 2707, 2035, 2058, 2153, 2127, 1996, 2260, 5308, 2001, 2908, 1012, 1045, 2411, 4687, 2054, 2037, 3348, 2166, 2001, 2066, 1012, 2438, 2055, 4331, 1010, 2292, 1005, 1055, 2831, 2055, 2242, 2008, 2428, 5609, 1011, 2189, 1012, 2144, 3048, 2041, 2006, 1996, 2189, 2449, 1006, 8046, 21725, 1007, 1010, 1045, 2064, 2085, 2175, 2067, 2000, 2108, 2054, 1045, 2467, 2428, 2001, 1010, 1037, 2189, 5470, 1012, 2061, 2005, 1996, 2034, 2051, 1999, 2055, 1019, 2086, 1010, 1045, 1005, 1049, 2025, 2893, 2382, 2000, 2531, 14340, 1037, 3204, 2008, 1045, 2031, 2000, 4952, 2205, 1012, 2320, 2153, 1045, 1005, 1049, 2489, 2000, 4952, 2000, 3649, 1996, 3109, 1045, 2514, 2066, 1012, 1045, 2064, 4965, 2189, 1998, 2025, 2031, 2000, 4952, 2000, 1022, 1010, 2199, 1010, 2199, 2705, 12849, 6826, 2030, 2053, 2546, 2595, 10973, 2125, 2316, 1012, 2489, 1010, 2489, 1010, 2489, 2012, 2197, 1012, 2061, 1010, 1045, 2018, 2070, 2051, 2000, 3102, 2197, 2733, 1998, 1045, 2001, 3564, 2012, 2190, 4965, 2007, 1037, 2210, 2769, 2000, 6402, 1998, 2787, 2000, 2175, 2083, 2037, 14340, 2013, 1037, 2000, 1062, 1012, 2017, 2428, 2123, 1005, 1056, 5621, 3305, 2129, 28543, 2189, 2038, 5407, 2030, 1996, 2469, 2193, 1997, 28543, 4996, 2045, 2024, 2041, 2045, 1012, 2036, 1996, 20342, 2099, 1996, 2316, 1996, 3469, 1996, 2193, 1997, 14340, 2011, 2008, 3063, 2045, 2003, 1012, 1996, 2062, 23100, 1996, 2316, 1010, 1996, 2062, 7290, 2691, 7939, 20936, 27413, 1010, 1996, 2062, 3722, 4895, 18598, 7770, 3351, 3085, 1996, 2189, 5543, 2003, 1996, 2062, 4809, 1997, 2008, 3729, 2024, 2005, 5271, 1012, 1045, 3305, 5543, 2021, 8440, 1005, 1056, 3071, 2008, 2412, 2359, 1037, 6100, 1997, 2317, 12971, 4602, 4978, 2525, 9847, 2037, 14163, 22592, 2046, 2190, 4965, 1998, 5407, 1037, 6100, 1029, 1045, 1005, 1049, 2467, 6966, 1997, 1996, 4005, 4589, 2299, 1005, 3338, 2091, 1005, 1010, 1000, 1996, 2270, 4152, 2054, 1996, 10107, 1013, 2025, 2054, 2027, 5157, 1012, 1000, 2130, 2295, 2008, 2299, 2001, 11807, 2092, 2058, 2322, 2086, 3283, 2009, 4324, 2062, 2995, 2085, 1010, 2059, 2009, 2106, 2059, 1012, 1045, 2106, 2424, 2048, 2204, 14340, 1996, 2034, 24529, 4747, 2201, 2144, 1005, 4218, 1996, 6281, 1005, 1006, 2292, 1005, 1055, 2074, 5293, 2055, 1996, 2878, 1043, 10278, 2600, 2558, 4618, 2057, 1007, 1005, 10436, 1005, 1998, 1996, 2047, 2449, 2501, 2029, 2003, 2092, 1037, 2449, 2501, 1012, 1996, 2047, 24529, 4747, 2501, 2003, 2074, 1037, 9145, 10825, 1997, 2129, 2204, 7196, 2064, 2022, 1012, 2045, 2024, 2074, 2061, 2116, 4996, 2128, 14949, 12053, 1996, 2168, 2699, 2214, 7087, 4485, 2058, 1998, 2058, 1998, 2058, 2153, 1012, 1045, 2812, 2054, 4148, 2000, 3564, 2091, 1999, 1996, 8102, 2030, 1996, 7381, 1998, 2746, 2039, 2007, 2242, 2995, 2047, 1998, 6208, 1012, 2003, 2008, 6896, 2439, 2030, 2031, 2057, 2074, 2150, 2061, 12323, 2094, 2008, 2057, 2123, 1005, 1056, 2130, 3046, 1029, 1045, 1005, 2310, 2042, 3752, 1037, 3232, 1997, 7636, 1999, 3277, 4466, 1997, 1996, 2502, 2202, 2058, 2007, 20856, 4241, 10814, 29405, 1006, 10973, 1007, 1998, 4913, 2235, 3240, 1998, 1996, 2518, 2008, 7906, 2746, 2039, 2058, 1998, 2058, 2003, 1996, 3768, 1997, 6896, 1010, 3257, 1010, 8906, 1998, 2074, 5810, 2434, 3012, 1997, 1996, 2715, 7196, 1998, 1996, 2189, 3496, 1012, 2471, 2000, 1996, 2391, 2008, 2017, 4687, 2065, 3087, 2003, 2130, 5627, 2000, 2202, 9592, 4902, 1012, 2228, 2055, 2009, 2043, 2001, 1996, 2197, 2051, 2017, 2657, 1037, 2047, 2316, 2008, 2074, 2234, 2041, 1997, 7880, 1010, 2081, 1996, 2606, 2006, 1996, 2067, 1997, 2115, 3300, 3233, 2039, 1998, 25590, 3805, 2013, 2045, 1012, 1037, 2261, 4996, 2272, 2000, 2568, 2066, 2012, 1996, 3298, 1011, 1999, 1010, 7540, 2243, 17048, 1006, 1045, 2031, 2000, 2507, 2068, 2037, 2349, 2015, 1010, 2027, 2031, 2042, 2635, 9592, 2013, 1996, 2707, 1007, 1010, 2572, 2368, 1998, 4385, 1012, 1012, 1012, 2477, 2109, 2000, 2025, 2022, 2023, 2126, 1012, 1996, 2034, 2051, 1045, 2657, 1996, 5798, 2283, 1010, 2502, 2304, 2030, 2304, 5210, 2005, 2008, 3043, 1010, 2009, 2001, 2066, 2027, 2020, 2013, 2178, 4774, 1012, 2073, 2003, 2008, 5783, 2651, 1029, 2027, 2074, 6476, 1999, 1996, 2341, 1998, 2056, 1010, 1000, 4931, 6616, 2673, 2017, 2657, 2077, 1010, 2023, 2003, 2183, 2000, 6033, 2035, 2008, 1010, 2057, 2024, 2183, 2000, 3102, 2017, 1998, 2017, 2024, 2183, 2000, 5959, 2296, 3371, 1997, 2009, 1012, 1000, 2469, 2045, 2347, 1005, 1056, 1037, 2843, 1997, 2769, 1998, 1013, 2030, 4847, 2012, 2034, 2021, 2298, 2054, 2037, 2189, 2106, 2000, 1996, 9129, 2008, 2628, 1012, 2130, 1996, 4996, 2008, 3298, 2017, 12264, 2021, 2024, 2725, 2242, 3294, 2047, 2024, 2734, 1010, 2130, 2065, 2027, 2428, 11891, 1012, 1045, 2812, 2298, 2012, 11238, 4842, 1010, 2054, 1996, 6616, 2052, 1996, 20993, 2015, 2022, 2066, 2302, 11238, 4842, 1012, 2130, 2295, 1045, 5223, 11238, 4842, 1998, 1996, 20993, 2015, 1010, 2037, 2189, 2018, 3574, 1998, 3303, 3431, 1012, 4406, 1996, 8817, 1997, 1000, 8917, 13290, 1000, 3104, 4996, 2008, 18856, 8649, 1996, 7196, 1013, 5230, 1013, 4522, 1013, 4060, 1037, 4608, 2100, 2171, 3496, 1012, 1996, 6517, 6155, 2102, 2518, 2003, 1996, 7196, 3496, 1012, 2009, 2347, 1005, 1056, 2467, 2023, 2126, 1012, 2065, 2017, 2175, 2000, 2151, 2220, 3496, 1999, 1996, 2088, 1998, 2298, 2012, 1996, 8236, 2008, 2020, 2404, 2362, 2017, 5060, 2008, 2045, 2001, 1037, 2843, 1997, 8906, 1999, 1996, 2927, 1012, 2066, 2474, 2017, 2018, 8236, 2007, 1060, 1006, 7196, 1013, 2600, 1011, 1037, 1011, 18210, 1013, 6147, 1007, 1010, 1996, 6978, 2545, 1006, 21416, 7196, 1007, 1010, 1996, 6881, 2891, 1006, 7381, 7196, 1007, 2304, 9744, 1998, 1996, 6005, 4686, 1006, 11962, 7196, 1007, 1998, 4385, 1012, 1012, 1012, 2035, 2006, 2028, 3021, 1998, 2009, 2001, 2035, 2170, 7196, 1012, 2023, 2003, 2126, 2122, 2214, 2082, 6616, 2015, 2131, 2006, 2026, 10627, 1010, 2027, 5223, 2673, 2008, 2003, 2047, 1998, 2367, 2021, 2012, 1996, 2168, 2051, 4366, 2000, 2031, 1996, 1000, 4382, 1997, 6255, 1000, 2030, 2242, 2842, 8053, 20342, 1012, 2122, 4408, 15488, 12722, 2015, 2052, 2031, 6283, 1996, 3496, 2027, 4366, 2000, 2293, 2061, 2172, 1012, 2339, 1029, 3426, 2122, 4996, 2614, 2061, 2367, 2009, 2052, 2031, 3480, 2037, 2235, 2701, 2210, 9273, 1012, 2061, 1010, 2040, 1005, 1055, 2000, 7499, 1029, 1045, 2123, 1005, 1056, 2113, 1012, 1996, 2755, 2008, 8692, 3248, 2107, 1037, 2502, 2112, 1999, 4911, 2047, 4996, 1998, 16021, 5397, 2008, 5750, 2024, 2006, 1037, 2120, 2504, 2612, 1997, 1037, 5568, 7117, 2518, 1012, 1045, 2123, 1005, 1056, 2228, 2003, 2183, 2000, 2689, 15933, 2574, 2926, 2043, 2017, 5136, 2008, 8692, 1005, 1055, 7193, 5605, 7906, 2893, 3920, 1998, 3920, 1012, 1996, 2060, 2502, 4489, 2090, 2059, 1998, 2085, 2003, 1996, 4315, 13910, 9513, 1997, 1996, 2557, 3068, 1012, 2009, 1005, 1055, 6517, 2000, 2228, 2008, 2087, 2350, 6089, 2024, 4758, 2011, 1017, 2000, 1018, 3650, 1012, 1998, 1996, 2981, 2024, 2855, 2108, 4149, 2039, 1012, 1045, 2228, 2009, 1005, 1055, 3647, 2000, 2360, 2008, 2306, 1996, 2279, 1019, 2086, 2557, 2097, 2022, 2004, 7578, 2004, 2897, 2694, 2007, 1018, 2030, 1019, 3316, 9756, 1996, 13095, 1012, 2242, 1045, 2031, 4384, 2003, 2008, 2144, 1996, 5333, 1998, 2991, 1997, 3144, 7196, 1010, 2003, 2008, 1996, 3496, 2008, 2320, 2018, 1037, 2312, 5230, 2897, 1997, 26512, 1010, 1062, 10586, 1010, 4996, 1010, 21725, 6074, 1010, 1998, 4385, 1012, 1012, 1012, 2003, 2428, 4531, 2009, 2524, 2000, 5788, 1012, 2205, 2172, 2769, 1010, 2205, 2855, 1998, 1037, 2878, 4245, 1997, 2047, 7196, 2015, 2007, 1037, 3294, 2367, 3193, 1997, 2054, 2009, 2965, 2000, 2022, 7196, 1012, 1045, 1005, 1049, 2025, 1999, 2151, 2126, 4338, 2030, 2433, 2000, 4133, 1999, 16646, 1997, 2216, 2008, 4227, 2013, 1996, 6217, 1997, 7196, 1999, 1996, 3054, 2000, 2397, 17233, 1012, 2027, 2106, 2054, 2027, 2371, 2001, 2157, 2005, 2068, 1012, 2116, 1997, 2068, 2018, 2042, 7079, 2037, 2349, 2015, 2005, 2086, 1999, 1996, 2067, 1997, 2070, 3158, 2542, 2125, 1021, 2340, 2980, 6077, 2007, 2053, 3037, 2030, 2801, 2008, 2028, 2154, 2027, 2052, 2156, 2037, 2636, 2175, 2751, 2292, 2894, 20228, 10450, 2819, 1012, 1045, 1005, 1049, 3374, 2021, 2065, 2017, 2106, 2242, 2017, 2293, 1998, 2009, 2001, 2115, 2396, 1998, 2115, 2166, 1998, 2619, 2234, 2000, 2017, 1998, 2056, 1010, 1000, 2129, 2052, 2017, 2066, 2000, 2191, 1037, 2843, 2062, 2769, 2725, 2023, 2518, 2017, 2079, 1998, 3745, 2115, 2396, 2007, 1037, 3109, 1997, 1037, 2843, 2062, 2111, 1029, 1000, 2017, 2323, 5376, 2006, 2009, 1012, 2008, 1005, 1055, 2004, 2146, 2004, 2017, 2123, 1005, 1056, 2031, 2000, 2689, 2115, 2396, 2000, 2079, 2009, 1012, 1045, 5223, 2000, 6532, 2070, 11957, 1010, 3524, 1045, 2123, 1005, 1056, 5223, 2000, 2079, 2023, 2021, 2087, 1997, 1996, 8917, 13290, 7196, 4996, 2020, 2006, 2350, 10873, 2030, 2404, 2041, 2636, 2006, 2350, 10873, 1012, 2013, 1996, 12716, 2229, 1010, 1060, 1010, 1996, 3348, 18248, 1010, 2757, 3337, 1998, 1996, 13249, 2000, 2304, 5210, 1998, 1996, 4418, 12181, 2015, 1012, 4312, 2008, 5568, 3217, 4140, 2897, 2003, 2908, 1998, 2009, 2003, 2183, 2000, 2202, 1037, 2200, 2146, 2051, 2000, 14591, 2009, 1998, 1045, 2428, 4687, 2065, 1996, 4996, 1998, 2216, 2920, 2031, 1996, 2540, 1998, 2097, 2373, 2000, 2079, 2009, 1012, 2646, 1996, 2203, 1997, 2026, 21725, 2476, 1010, 1996, 4996, 2035, 2000, 2411, 2790, 2062, 4986, 2007, 2073, 1996, 2067, 2203, 2707, 1010, 2037, 3972, 2072, 11851, 1010, 1998, 1996, 3953, 2240, 2059, 2040, 2027, 2020, 2725, 2449, 2007, 1998, 2037, 4599, 1012, 2008, 2003, 6517, 2000, 2033, 1998, 2009, 2323, 2022, 2000, 3071, 2040, 2412, 3825, 1002, 1019, 1012, 4002, 2000, 2156, 1019 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 17213, 2003, 1996, 4610, 1997, 1996, 2540, 1529, 17213, 13169, 1996, 10961, 1997, 4963, 1010, 1996, 3465, 1997, 11150, 1010, 1996, 5949, 1997, 8633, 1012, 1516, 8410, 5405, 2396, 1024, 5085, 2100, 1516, 2611, 2007, 13212, 3100, 2061, 3087, 2206, 2026, 9927, 2097, 2113, 2008, 1045, 2973, 1999, 1037, 11361, 1011, 2025, 1011, 2061, 2412, 1011, 2044, 3510, 11957, 2005, 3243, 2070, 2051, 1012, 2057, 2020, 2362, 2005, 2471, 2324, 2086, 1998, 2496, 2005, 2403, 1997, 2216, 1012, 2009, 2001, 1037, 2204, 2448, 2428, 1999, 1996, 2502, 2712, 1997, 13800, 6747, 2055, 3510, 1998, 8179, 1012, 1045, 1521, 2310, 2196, 18991, 1996, 3510, 1998, 1999, 5025, 2755, 1010, 1045, 2079, 19148, 2129, 5341, 1045, 1521, 2310, 2042, 1999, 2026, 2166, 2000, 2031, 4207, 2107, 26906, 1998, 8404, 2007, 2178, 2529, 2108, 2005, 2004, 2146, 2004, 2057, 2106, 1012, 2085, 2008, 1045, 2572, 1010, 2005, 1996, 2034, 2051, 1999, 2058, 1017, 2086, 3283, 1010, 9085, 2046, 1037, 2047, 3276, 1010, 1045, 1521, 2310, 2018, 17174, 13102, 22471, 3512, 5312, 2055, 1996, 4990, 1045, 1521, 2310, 2042, 2006, 2144, 1996, 12554, 1997, 2026, 3510, 1998, 1045, 1521, 2310, 2246, 2012, 2026, 2112, 1999, 2049, 13614, 1012, 1045, 2228, 2008, 1521, 1055, 3671, 1012, 1045, 1521, 2310, 2245, 2055, 2009, 1037, 2843, 1999, 1996, 2197, 2261, 2086, 1997, 2607, 2021, 2009, 1521, 1055, 5875, 2008, 1045, 1521, 2310, 7964, 2061, 2172, 1012, 1045, 1521, 1049, 2025, 1996, 2168, 2711, 2008, 1045, 2001, 2067, 2059, 1012, 2061, 1997, 2607, 2026, 7339, 2038, 2904, 1037, 2843, 2055, 2054, 2253, 2006, 1012, 3383, 2026, 4432, 2003, 24509, 1006, 1998, 2025, 2074, 2138, 1045, 2572, 2085, 4147, 3752, 7877, 999, 1007, 1012, 2009, 2347, 1521, 1056, 2035, 3407, 1011, 3407, 1011, 6569, 1011, 6569, 1010, 1045, 19148, 2085, 1012, 1996, 2197, 2274, 2086, 2362, 2057, 2371, 2066, 2057, 2020, 2428, 2039, 2114, 2009, 1516, 2057, 2018, 5305, 3008, 1010, 1037, 2200, 5305, 2775, 1998, 2057, 26536, 11533, 1996, 11806, 2476, 1997, 1996, 19982, 7946, 1010, 2007, 1996, 6911, 1997, 2770, 1037, 2449, 1012, 1037, 3510, 9517, 10626, 2057, 2387, 4541, 2008, 1996, 4602, 6911, 2000, 6550, 2003, 3303, 2011, 1996, 2206, 1024, 12603, 1006, 3558, 2030, 6832, 1007, 1025, 2769, 1025, 2028, 4256, 2025, 2108, 3407, 2007, 2037, 2166, 1025, 3768, 1997, 4807, 1025, 3348, 1025, 1998, 5966, 1999, 28586, 9029, 1012, 2092, 2204, 2059, 999, 1045, 2064, 2360, 2008, 3348, 2001, 2196, 1037, 5387, 1012, 2057, 2020, 2467, 8186, 4198, 1010, 2130, 2076, 1996, 23036, 1997, 2335, 1010, 2295, 2009, 1521, 1055, 4189, 2000, 2360, 2008, 1045, 2001, 2467, 2011, 3267, 2062, 18114, 2084, 1996, 19982, 7946, 1012, 2043, 2009, 2234, 2000, 28586, 2256, 2336, 1010, 2057, 2020, 2467, 2006, 1996, 2168, 3931, 1010, 2295, 1996, 19982, 7946, 2001, 2521, 2062, 9474, 1997, 1996, 4268, 2349, 3262, 2000, 2010, 2219, 2647, 24615, 1012, 2057, 12042, 2169, 2060, 2041, 1012, 13718, 1010, 1996, 2717, 1997, 1996, 9517, 10626, 1521, 1055, 2862, 2001, 3962, 2006, 1012, 12603, 2001, 1037, 4121, 16771, 2005, 2469, 1012, 1999, 1996, 2686, 1997, 2069, 1037, 2261, 2086, 1010, 2057, 2018, 1037, 2775, 2040, 2018, 2042, 11441, 2007, 1037, 9280, 8701, 2668, 8761, 1010, 2029, 4332, 2115, 2166, 14961, 2091, 1012, 4439, 1999, 2000, 1996, 2336, 1521, 1055, 2902, 1998, 3564, 1999, 1996, 2006, 19824, 4829, 2093, 2335, 1037, 2733, 1010, 2296, 2733, 2005, 10866, 2706, 2001, 2053, 6569, 1010, 2295, 1996, 8424, 1997, 1996, 4268, 2057, 2777, 2045, 2001, 2498, 2460, 1997, 28676, 1012, 3666, 2115, 4845, 2175, 2083, 10866, 5852, 2001, 2524, 1010, 2021, 15912, 7435, 2024, 12476, 1045, 2031, 2000, 2360, 999, 7149, 2007, 1996, 2025, 4209, 2001, 2428, 2524, 1012, 2057, 26536, 11533, 2048, 2060, 2336, 2012, 1996, 2168, 2051, 1010, 2028, 3080, 1998, 6171, 13233, 2055, 2010, 2905, 1010, 1998, 1037, 6927, 3917, 2040, 2481, 1521, 1056, 3305, 1998, 2001, 1058, 14147, 2005, 2256, 3086, 1012, 2059, 2057, 2169, 2439, 2256, 11397, 2000, 2331, 1012, 2009, 2001, 5931, 1012, 1996, 19982, 7946, 3344, 8216, 8056, 2004, 2001, 2010, 3234, 2126, 1012, 2002, 2342, 2078, 1521, 1056, 2031, 1012, 2002, 1521, 1040, 2589, 2498, 3308, 1516, 2021, 2002, 2187, 1996, 2902, 3859, 2077, 2010, 2269, 2979, 2185, 1010, 1998, 2002, 6915, 2000, 21063, 2008, 2755, 1012, 2043, 2026, 3611, 2979, 2185, 1010, 1045, 2001, 2007, 2032, 1010, 2004, 2001, 2026, 2388, 1010, 2026, 24211, 2905, 1529, 1998, 1996, 19982, 7946, 1012, 2002, 2001, 1037, 14809, 1997, 3997, 2005, 2033, 2006, 2008, 2154, 1012, 1045, 2001, 8794, 2000, 2022, 3173, 2026, 3611, 1521, 1055, 2192, 2043, 2002, 2187, 2149, 1012, 1045, 2001, 1999, 14920, 2008, 2009, 2052, 4148, 1010, 2061, 2000, 2156, 2032, 2202, 2010, 2197, 5513, 7200, 2015, 2081, 2009, 2613, 2005, 2033, 1998, 1999, 2331, 2002, 2246, 2012, 3521, 1012, 1045, 3569, 2026, 13879, 12954, 1998, 2026, 2905, 1012, 1999, 2735, 1010, 1996, 19982, 7946, 3569, 2033, 1012, 3666, 2026, 2269, 3280, 4298, 2441, 1996, 7186, 6733, 1997, 9940, 2005, 1996, 19982, 7946, 1012, 2002, 2910, 1521, 1056, 2428, 24665, 2666, 7178, 2005, 2010, 2219, 3611, 1012, 1045, 1521, 1049, 2025, 4452, 2000, 6449, 2008, 1045, 2018, 1037, 2978, 1997, 1037, 12554, 2043, 2026, 3611, 2979, 2185, 1012, 2017, 2196, 2113, 2008, 2043, 2017, 1521, 2128, 1999, 2009, 1010, 2021, 1045, 2001, 5791, 4600, 1999, 1996, 2110, 1997, 9940, 1010, 1998, 1996, 19982, 7946, 2318, 2000, 2693, 2185, 2043, 1045, 2734, 2032, 2062, 2084, 2412, 1012, 2009, 2001, 1037, 9202, 29449, 19912, 2000, 2022, 2006, 1516, 1996, 2062, 1045, 2584, 2041, 1010, 1996, 2062, 2002, 2766, 2185, 1012, 1996, 2062, 1045, 2734, 2032, 1010, 1996, 2062, 2002, 27188, 2033, 1012, 1996, 19982, 7946, 1010, 2559, 2067, 2302, 1996, 3123, 1011, 11401, 7877, 1998, 1996, 24509, 4432, 2008, 2051, 8984, 2015, 2149, 1010, 2347, 1521, 1056, 1037, 3407, 3409, 2121, 2005, 2070, 2051, 1012, 2002, 3473, 2062, 9633, 1998, 28607, 1998, 2043, 1045, 3724, 2032, 2005, 6998, 2055, 2010, 9164, 1010, 1045, 2001, 2777, 2007, 13191, 18258, 1010, 1998, 2411, 28902, 4223, 1012, 2004, 1037, 4012, 23041, 5555, 4263, 1010, 1045, 2064, 2425, 2017, 2008, 2005, 2033, 1010, 1996, 10311, 4244, 2102, 2518, 2000, 18094, 2003, 1996, 13135, 9376, 4223, 1997, 1037, 4256, 1012, 1996, 4223, 2001, 28840, 1998, 2009, 9413, 19847, 2185, 2012, 2115, 2969, 1011, 19593, 1010, 1999, 2172, 1996, 2168, 2126, 2008, 13175, 2012, 2019, 17174, 16874, 9413, 19847, 2185, 2012, 2068, 1529, 1998, 2776, 1045, 2572, 14984, 2000, 2360, 1010, 1045, 2318, 13175, 2000, 3338, 1996, 4223, 1012, 1045, 2001, 3652, 2062, 1998, 2062, 7143, 2005, 6998, 1010, 2055, 1037, 2843, 1997, 2477, 1012, 1045, 2018, 2699, 3331, 2007, 2032, 12885, 2055, 2129, 1045, 2371, 1998, 2026, 3652, 5936, 2055, 2010, 5866, 9164, 1012, 1999, 1037, 17490, 5806, 1010, 1045, 2371, 4704, 2011, 1996, 2711, 1045, 3373, 2052, 2467, 2490, 2033, 1012, 1045, 2001, 4634, 4237, 1998, 2002, 2001, 3652, 21399, 1998, 2062, 6802, 1012, 1045, 2228, 1996, 19982, 7946, 2371, 12781, 2091, 2011, 1996, 10859, 1997, 2155, 2166, 1012, 2002, 2371, 2002, 3344, 2205, 2172, 5368, 1999, 2010, 2166, 1516, 1037, 2564, 1010, 4268, 1010, 1037, 2449, 1998, 1037, 2476, 1012, 1999, 2026, 9940, 1045, 2074, 2481, 1521, 1056, 2156, 2010, 1012, 2002, 2053, 4797, 27188, 2008, 1012, 1045, 2031, 2467, 2042, 27617, 16037, 1012, 2009, 1521, 1055, 1999, 2026, 6064, 1012, 2061, 7188, 1996, 19982, 7946, 2001, 4634, 1010, 1045, 2001, 2467, 2045, 2000, 4608, 2032, 2077, 2002, 2941, 2718, 1996, 2598, 1012, 2002, 2018, 2070, 2091, 2335, 1999, 2010, 2420, 2007, 2033, 1998, 2002, 9480, 1010, 1998, 2157, 2135, 2061, 1010, 2008, 1045, 2052, 2467, 2490, 2032, 2083, 1012, 1999, 3510, 1010, 1045, 2228, 2057, 9787, 2135, 2169, 2377, 1037, 2535, 1012, 3067, 2001, 1997, 1996, 27617, 11244, 2099, 1010, 2591, 2472, 1998, 12954, 1012, 1045, 2001, 2467, 1996, 3410, 1997, 1996, 19982, 7946, 1012, 1045, 3432, 3866, 2032, 1012, 1999, 2735, 1010, 2002, 2001, 8884, 1010, 1037, 2307, 3611, 1998, 2002, 3024, 2033, 2007, 1037, 3168, 1997, 3808, 1998, 3036, 2008, 1045, 3130, 2196, 2245, 5839, 1012, 2002, 2001, 2026, 2155, 1012, 2002, 2001, 9474, 2302, 2108, 22105, 1012, 2002, 2409, 2033, 2296, 2154, 2008, 2002, 3866, 2033, 1010, 2823, 2195, 2335, 1037, 2154, 1529, 1998, 2059, 2028, 2154, 2002, 2134, 1521, 1056, 1012, 1045, 2985, 1037, 2843, 1997, 2051, 2667, 2000, 1523, 8081, 1524, 2477, 2005, 2032, 1012, 1045, 2359, 2032, 2000, 2514, 2488, 1012, 1045, 2001, 2467, 7481, 2061, 1045, 2481, 1521, 1056, 22346, 2008, 2026, 4256, 2001, 6318, 2505, 2013, 2033, 1010, 2006, 2151, 2504, 1012, 1045, 2920, 2032, 1999, 2296, 7814, 1997, 2026, 2166, 5819, 2002, 15273, 13911, 2098, 5919, 1997, 2010, 2088, 1012, 2009, 9413, 19847, 3404, 1998, 1999, 2735, 4797, 19815, 2015, 1999, 1012, 3404, 2005, 2033, 2003, 2062, 2055, 1996, 5606, 1997, 2210, 2477, 2017, 3745, 1999, 2115, 2166, 1010, 2025, 2074, 1996, 2350, 2892, 1011, 2346, 6567, 1012, 2026, 4256, 1999, 2035, 2477, 3402, 2150, 23579, 1516, 2002, 2134, 1521, 1056, 2079, 2477, 2002, 2056, 2002, 2052, 1010, 4496, 2106, 2002, 3749, 2039, 17959, 1012, 2074, 21917, 1012, 2002, 2134, 1521, 1056, 3582, 2083, 1012, 2002, 2134, 1521, 1056, 2831, 2055, 2010, 2154, 2292, 2894, 2010, 5346, 1012, 2002, 2150, 6233, 9345, 12742, 1998, 9376, 1998, 1045, 5838, 3243, 19762, 1999, 2709, 1012, 1037, 2454, 2477, 2175, 2083, 2115, 2568, 2043, 1037, 4256, 10632, 2015, 14868, 1998, 4627, 6318, 2477, 2058, 1037, 2146, 2558, 1997, 2051, 1012, 2001, 2002, 2383, 2019, 6771, 1029, 2001, 2002, 12219, 1029, 2001, 2002, 4634, 2041, 1997, 2293, 2007, 2033, 1029, 2028, 2518, 2001, 3056, 2013, 2026, 2203, 1516, 1045, 2428, 3866, 2032, 1012, 1045, 2359, 2000, 2907, 2026, 3510, 2362, 1012, 2057, 2318, 9177, 2035, 1996, 2051, 1012, 2002, 2052, 2681, 1996, 2160, 1998, 3298, 2185, 1012, 2002, 2001, 4415, 14777, 1012, 1045, 2001, 4415, 2183, 4689, 1012, 2061, 1010, 1045, 3198, 2870, 1996, 2502, 3160, 1012, 2071, 1045, 2031, 2589, 2505, 2367, 2000, 2689, 1996, 2607, 1997, 2824, 1029, 2003, 2045, 2505, 1045, 2071, 2031, 2589, 2008, 2052, 2031, 5552, 2026, 3510, 1029, 1045, 1521, 1049, 3241, 1045, 2071, 2031, 2589, 1037, 2843, 1997, 2477, 2488, 1516, 2021, 1045, 2481, 1521, 1056, 2031, 5552, 2026, 3510, 2006, 2026, 2219, 1012, 2009, 3138, 2048, 2111, 2000, 2079, 2061, 1998, 2009, 5942, 12276, 2000, 2147, 2083, 2477, 1998, 3328, 2046, 1996, 2422, 2006, 1996, 2060, 2217, 1012, 2002, 2359, 2477, 1999, 2010, 2166, 2000, 2074, 2022, 6082, 1012, 2002, 2001, 5458, 1012, 2002, 2001, 16040, 1012, 2002, 2074, 2371, 2002, 2481, 1521, 1056, 2191, 1996, 3292, 1998, 2559, 2067, 1010, 1045, 2323, 2031, 2464, 2008, 1012, 2002, 2134, 1521, 1056, 2228, 2009, 2001, 4276, 1996, 5294, 3947, 2009, 2052, 2031, 2579, 2000, 3538, 2477, 2067, 2362, 1012, 2002, 2052, 2031, 2018, 2000, 2227, 2033, 1529, 2021, 2062, 14780, 1010, 2002, 2052, 2031, 2018, 2000, 3066, 2007, 2010, 2219, 7942, 1012, 2008, 1521, 1055, 2025, 2467, 3733, 2005, 2087, 2111, 1012, 2009, 1521, 1055, 1037, 2307, 9467, 2008, 2057, 2119, 2371, 2061, 3714, 1012, 2008, 2057, 2119, 2371, 20234, 1012, 2057, 2018, 3866, 2169, 2060, 1516, 2021, 2293, 2894, 2003, 2025, 2438, 1012, 14583, 1997, 5346, 1998, 6699, 2003, 1037, 5294, 6271, 2000, 3404, 2328, 2039, 2058, 2061, 2116, 2086, 1012, 2025, 20888, 6464, 2001, 1996, 13774, 1999, 1996, 6011, 15185, 4818, 13123, 1012, 1045, 1521, 2310, 2146, 2144, 2579, 2032, 2125, 1996, 24496, 1529, 1012, 1045, 2763, 2018, 2032, 2039, 2045, 2005, 2126, 2205, 2146, 1012, 2002, 2087, 5791, 2018, 2519, 1997, 5726, 999, 2002, 2001, 2012, 2335, 1037, 14337, 29393, 2063, 1012, 1996, 2126, 2002, 9411, 2007, 1996, 8745, 2001, 2012, 2335, 10311, 1012, 2002, 6913, 5312, 1997, 4768, 1045, 2228, 2008, 2130, 7135, 2032, 1012, 2074, 2004, 1045, 2106, 1012, 2559, 2067, 1516, 2065, 1045, 2018, 2124, 2059, 2054, 1045, 2079, 2085, 1006, 2821, 1010, 4086, 17666, 25807, 1007, 1998, 2065, 1045, 1521, 1040, 2018, 2026, 18658, 2055, 2033, 1006, 1998, 1999, 2335, 1997, 9940, 2057, 2788, 2123, 1521, 1056, 1007, 1010, 1045, 2052, 2031, 4370, 5475, 2121, 1012, 1045, 2876, 1521, 1056, 2031, 2973, 1999, 1037, 4937, 1011, 2066, 2110, 1997, 6634, 1998, 3571, 1012, 1045, 2052, 2031, 2699, 2000, 2025, 2022, 1037, 7743, 2043, 1045, 2371, 5561, 1012, 1045, 2052, 2031, 2445, 2870, 6656, 2000, 24665, 2666, 3726, 2005, 2026, 3611, 1006, 1998, 3198, 2032, 2005, 2008, 2051, 1007, 1998, 2059, 2131, 2026, 2552, 2362, 1012, 1045, 2052, 2031, 2699, 2000, 2562, 1996, 4752, 2005, 1037, 2978, 2936, 2077, 24868, 1998, 14120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1037, 20248, 7507, 5339, 2003, 1037, 4949, 1997, 1037, 2406, 1010, 1037, 9983, 1010, 2030, 1037, 2555, 2007, 2752, 4453, 1999, 2028, 1997, 2093, 3971, 1024, 1996, 2555, 5549, 6087, 2878, 4655, 1010, 2107, 2004, 3032, 1010, 6941, 1010, 2030, 2163, 1012, 1996, 16387, 5549, 3594, 7925, 2000, 24414, 4655, 2008, 2024, 18953, 2429, 2000, 1037, 3643, 2008, 2017, 20648, 1012, 1996, 3793, 5549, 10873, 1996, 4655, 2007, 8909, 4765, 28295, 1041, 1012, 3602, 2008, 1996, 20248, 7507, 5339, 2003, 2025, 17186, 3085, 2030, 8011, 3654, 3468, 1010, 1998, 2009, 1521, 1055, 1037, 2240, 5059, 2738, 2084, 1037, 9291, 4949, 1025, 2065, 2017, 2215, 2151, 1997, 2008, 1010, 5136, 1037, 4949, 5107, 3989, 2612, 1012, 1996, 4655, 2806, 17469, 2972, 4655, 4050, 3032, 2007, 6087, 7978, 2000, 1996, 5300, 2008, 2017, 23911, 1012, 1996, 16387, 2806, 17552, 2015, 7925, 2012, 9675, 5269, 2006, 1996, 20248, 7507, 5339, 1010, 2007, 1996, 3609, 1998, 2946, 2008, 2017, 20648, 1012, 3046, 16349, 2058, 1996, 18856, 23128, 16387, 2105, 4199, 1010, 1998, 1037, 23848, 3490, 14116, 3221, 2097, 2330, 2000, 2265, 1996, 16387, 1999, 2062, 6987, 1012, 6325, 1997, 8224, 2395, 3193, 10574, 3401, 1997, 2986, 2047, 3414, 21442, 5740, 12121, 1998, 22863, 2098, 12121, 2327, 2006, 1037, 12121, 2795, 1012, 2023, 2028, 3138, 1037, 9129, 1997, 1996, 2087, 5440, 2774, 2013, 2090, 2858, 5394, 1015, 1998, 2088, 2778, 1998, 13585, 2068, 2362, 1010, 1998, 1996, 3484, 1997, 2216, 4217, 2024, 2307, 2774, 999, 2055, 2000, 2191, 2009, 2153, 2005, 1996, 2117, 2051, 1999, 2048, 3134, 999, 17370, 2107, 2004, 4404, 2073, 2000, 3113, 7402, 3895, 1999, 2624, 4980, 2024, 1037, 3862, 6453, 2073, 1996, 4555, 7750, 1997, 2070, 28616, 3207, 4168, 27869, 2015, 2003, 2039, 2000, 1016, 1012, 2000, 4553, 2062, 2055, 1996, 2396, 1997, 9334, 14361, 1998, 13528, 7595, 2015, 1010, 3942, 1517, 1996, 2190, 4773, 2609, 2006, 1996, 8476, 999, 7167, 1997, 7595, 1013, 4949, 4573, 2024, 2036, 1012, 8224, 2395, 3193, 2001, 2034, 3107, 1999, 1996, 2142, 2163, 2006, 2089, 2423, 1010, 1010, 1998, 2127, 2281, 2656, 1010, 1010, 2956, 4950, 12696, 16387, 1010, 2169, 5052, 2012, 2560, 2028, 2350, 2103, 2030, 2181, 2107, 2004, 1037, 2380, 1010, 1998, 2788, 1996, 2060, 3518, 3655, 1010, 4865, 1010, 9435, 1010, 1998, 6328, 1012, 2116, 2752, 2008, 2018, 6325, 2020, 3421, 2011, 18407, 1012, 2062, 2752, 1999, 2660, 1012, 4186, 1997, 25749, 3468, 4887, 1010, 1999, 2605, 1012, 11163, 2721, 1040, 1521, 3449, 3676, 1010, 1999, 3304, 1012, 2917, 2003, 1037, 2795, 4760, 1996, 3032, 2800, 2006, 2395, 3193, 1998, 1996, 2095, 2027, 2020, 2034, 2794, 1012, 2013, 16948, 1010, 1996, 2489, 12204, 1012, 2275, 2039, 1012, 2093, 2086, 1997, 2115, 3050, 3349, 1010, 2029, 2016, 2018, 1037, 2149, 2012, 4180, 1012, 19133, 2998, 2007, 1996, 2190, 2335, 1010, 2158, 1010, 1997, 12147, 2455, 4723, 1012, 8224, 1521, 1055, 2489, 2326, 6880, 16315, 2616, 1010, 15672, 1010, 1998, 4773, 5530, 2090, 2394, 1998, 2058, 2060, 4155, 1012, 2197, 6310, 1024, 2089, 1020, 1010, 3025, 4617, 1012, 2065, 2115, 25640, 4769, 2003, 1999, 4380, 1010, 3531, 3319, 2122, 3408, 1997, 2326, 1010, 2029, 6611, 2000, 2115, 2224, 1997, 8224, 7341, 4132, 1012, 2065, 2115, 25640, 4769, 2003, 1999, 6239, 1010, 3531, 3319, 2122, 3408, 1997, 2326, 1010, 2029, 6611, 2000, 2115, 2224, 1997, 8224, 7341, 4132, 1012, 2023, 8224, 7341, 4132, 6105, 3820, 1996, 1523, 3820, 1524, 2003, 2081, 1998, 3133, 2046, 2090, 8224, 2004, 4225, 1999, 2930, 2538, 15182, 1998, 1996, 9178, 2030, 2711, 16191, 2000, 2122, 3408, 1523, 8013, 1524, 1012, 2023, 3820, 2003, 4621, 2004, 1997, 1996, 3058, 8013, 29225, 2000, 5138, 1996, 3820, 1010, 2030, 8039, 2046, 1037, 24501, 24038, 3820, 2065, 13131, 2083, 1037, 24501, 24038, 1996, 1523, 4621, 3058, 1524, 1012, 2065, 2017, 2024, 10564, 2006, 6852, 1997, 8013, 1010, 2017, 5050, 1998, 10943, 2008, 1024, 1037, 2017, 2031, 2440, 3423, 3691, 2000, 14187, 8013, 2000, 2023, 3820, 1025, 1038, 2017, 2031, 3191, 1998, 3305, 2023, 3820, 1025, 1998, 1039, 2017, 5993, 1010, 2006, 6852, 1997, 8013, 1010, 2000, 2023, 3820, 1012, 2065, 2017, 2079, 2025, 2031, 1996, 3423, 3691, 2000, 14187, 8013, 1010, 3531, 2079, 2025, 11562, 2000, 5138, 1012, 2053, 4236, 2190, 6758, 15995, 3784, 5306, 4573, 3193, 2256, 18801, 2885, 4949, 2006, 2115, 15363, 2030, 4684, 5080, 1010, 1998, 2017, 2097, 2031, 1996, 9983, 1999, 1996, 5340, 1997, 2115, 2398, 1012, 2169, 4949, 1997, 2885, 2917, 2003, 2489, 1998, 2097, 2272, 1999, 18801, 2043, 2017, 2024, 1999, 1037, 3295, 2008, 2003, 16261, 2000, 2017, 1012, 1996, 2647, 9983, 11867, 2527, 13668, 2015, 2408, 2062, 2084, 1017, 2454, 2675, 2661, 1997, 2455, 1012, 2866, 1087, 2088, 1087, 2885, 1022, 2190, 5306, 11744, 2008, 2097, 2393, 2017, 2424, 1996, 3819, 2674, 8816, 26352, 3468, 2006, 8224, 2377, 1087, 7632, 15465, 1012, 2009, 5577, 2993, 2004, 1996, 10439, 2008, 1521, 1055, 1523, 2881, 2000, 2022, 17159, 1524, 1998, 6537, 2489, 5198, 2000, 16663, 2074, 2184, 17879, 1037, 10874, 2444, 4484, 2049, 2225, 2203, 2448, 3092, 1999, 1996, 5256, 1997, 1996, 1012, 1996, 3142, 3400, 3631, 2091, 1999, 1996, 2225, 1010, 2021, 2506, 2004, 1996, 8734, 3400, 1999, 1996, 2264, 1012, 2111, 1010, 5200, 1998, 4784, 7837, 2408, 1996, 9983, 1010, 2096, 7988, 1998, 7025, 6003, 2004, 2350, 11822, 1012, 2011, 1010, 1996, 14988, 2015, 1997, 2195, 2715, 2163, 2018, 2764, 1012, 2885, 2004, 2057, 2113, 2009, 2651, 2001, 2635, 4338, 1012, 8224, 7341, 4132, 3408, 1997, 2326, 3435, 1010, 6851, 1998, 4498, 2125, 4179, 7341, 2007, 2735, 1011, 2011, 1011, 2735, 9163, 1517, 9480, 2011, 2058, 2454, 15183, 4969, 1012, 2057, 1521, 2310, 12404, 2007, 1996, 2190, 3604, 4180, 17277, 2000, 3857, 3604, 5009, 12105, 2005, 15876, 11563, 5104, 1997, 14345, 2105, 1996, 2088, 1012, 3251, 2017, 9544, 2103, 3604, 1010, 2482, 9109, 2030, 7254, 3450, 2017, 2097, 2424, 1037, 2307, 3601, 1997, 12468, 2005, 1037, 3819, 4990, 1012, 2033, 2003, 2489, 2000, 8816, 1998, 2224, 1012, 2171, 1010, 4607, 12093, 2030, 11562, 1996, 4949, 2000, 9375, 2115, 3945, 2181, 1006, 2005, 3935, 4949, 5906, 1010, 3193, 1996, 2393, 12653, 1007, 1010, 1998, 1013, 2030, 5454, 1037, 3058, 2846, 1012, 2011, 1996, 2203, 1997, 2257, 2035, 1997, 2642, 2605, 2001, 19553, 1010, 1998, 1996, 17657, 2749, 14137, 2005, 1996, 3298, 2046, 2762, 1010, 2073, 2027, 2052, 2776, 3113, 2007, 3354, 2749, 10787, 2013, 1996, 2264, 2000, 3288, 2019, 2203, 2000, 1996, 6394, 14365, 1012, 2009, 2036, 6025, 2049, 3329, 12640, 2006, 1996, 3023, 1997, 2167, 3088, 1010, 3734, 2043, 2009, 2018, 2908, 2000, 1996, 4681, 1997, 2049, 3059, 9698, 1999, 2664, 2002, 2030, 2010, 6956, 2145, 4758, 1996, 2878, 1997, 8240, 2885, 1010, 3272, 2005, 8699, 3577, 1010, 5978, 1010, 5288, 1010, 1998, 4701, 1012, 2302, 3622, 8830, 2011, 1996, 2530, 6956, 2006, 1996, 9983, 1517, 2019, 8830, 2008, 2052, 2803, 2006, 1996, 8426, 1997, 1037, 2312, 2137, 2390, 1517, 8042, 2071, 4175, 2006, 4013, 10052, 2075, 2010, 2510, 13811, 2005, 2086, 2000, 2272, 1012, 2144, 1010, 3354, 3003, 3312, 13125, 2018, 2042, 7827, 2010, 6956, 1010, 1057, 1012, 2343, 5951, 1040, 1012, 2009, 2001, 5263, 1999, 1996, 6214, 1012, 6600, 1010, 3725, 2018, 5625, 2000, 7374, 9373, 3488, 2005, 1037, 2709, 2000, 1996, 6803, 8240, 2574, 2044, 1996, 7822, 2013, 29467, 1010, 2605, 1010, 1999, 1010, 1998, 1996, 4841, 1010, 3202, 2044, 8042, 4161, 2162, 2006, 1996, 2142, 2163, 2006, 2285, 2340, 1010, 1010, 2018, 2318, 2000, 4853, 2037, 2219, 23839, 1012, 2625, 26402, 2098, 2084, 1996, 2329, 2011, 8690, 4087, 8190, 1010, 1996, 4841, 4508, 2013, 1996, 2707, 2005, 2019, 2220, 5274, 1517, 4078, 7895, 6321, 1999, 1010, 3383, 2130, 1999, 11175, 7570, 2080, 1998, 2885, 5306, 7595, 2015, 2197, 10086, 2015, 1024, 2337, 3980, 2055, 2115, 2214, 7595, 1029, 2215, 2000, 2156, 7760, 1997, 14361, 1998, 13528, 2088, 7595, 2015, 1029, 2079, 2017, 8145, 14361, 2030, 13528, 12350, 7595, 2015, 1029, 3383, 2017, 2066, 2000, 2156, 2129, 3080, 2088, 7595, 2015, 2265, 1996, 2576, 7372, 1997, 2037, 2335, 1012, 2444, 3612, 1010, 4542, 1998, 4860, 7341, 1010, 6851, 19939, 2005, 2115, 2173, 1010, 2951, 2013, 1996, 2190, 4633, 19939, 4275, 2107, 2004, 1043, 10343, 1010, 12696, 1010, 17070, 1012, 2023, 2951, 13462, 11138, 2988, 10444, 1997, 4126, 2008, 2031, 4158, 1999, 1996, 2103, 1997, 3190, 2058, 1996, 2627, 2095, 1010, 15718, 1996, 2087, 3522, 2698, 2420, 1997, 2951, 1012, 1999, 2344, 2000, 4047, 1996, 9394, 1997, 4126, 5694, 1010, 11596, 2024, 3491, 2012, 1996, 3796, 2504, 2069, 1998, 3563, 5269, 2024, 2025, 4453, 1012, 5860, 19771, 5017, 1024, 2122, 6997, 2089, 2022, 2241, 2588, 8824, 2592, 8127, 2000, 1996, 2610, 2533, 2011, 1996, 7316, 4243, 2008, 2031, 2025, 2042, 20119, 1012, 1996, 8824, 4126, 26739, 2089, 2022, 2904, 2012, 1037, 2101, 3058, 2241, 2588, 3176, 4812, 1998, 2045, 2003, 2467, 1996, 6061, 1997, 6228, 2030, 2529, 7561, 1012, 3568, 1010, 1996, 3190, 2610, 2533, 2515, 2025, 11302, 2593, 5228, 2030, 13339, 1996, 10640, 1010, 3143, 2791, 1010, 17060, 4757, 1010, 2030, 6149, 24558, 1997, 1996, 2592, 1998, 1996, 2592, 2323, 2025, 2022, 2109, 2005, 7831, 5682, 2058, 2051, 1012, 1996, 3190, 2610, 2533, 2097, 2025, 2022, 3625, 2005, 2151, 7561, 2030, 18168, 14643, 3258, 1010, 2030, 2005, 1996, 2224, 1997, 1010, 2030, 1996, 3463, 4663, 2013, 1996, 2224, 1997, 2023, 2592, 1012, 2035, 2951, 5107, 22318, 2006, 7341, 2323, 2022, 2641, 15796, 1998, 4740, 2000, 18547, 3563, 11596, 2024, 9975, 10890, 1012, 1996, 3190, 2610, 2533, 2003, 2025, 3625, 2005, 1996, 4180, 1997, 2151, 2125, 1011, 2609, 5530, 2008, 2024, 14964, 2011, 2030, 2008, 4431, 2023, 4773, 3931, 2060, 2084, 2019, 2880, 2103, 1997, 3190, 2030, 3190, 2610, 2533, 4773, 3931, 1012, 1996, 5310, 4919, 28049, 2008, 1996, 3190, 2610, 2533, 2003, 2025, 3625, 2005, 2151, 13366, 8067, 7062, 1010, 5805, 1010, 22369, 1010, 2030, 6206, 6204, 1997, 2060, 5198, 1010, 6971, 1010, 2030, 2353, 4243, 1998, 2008, 1996, 3891, 1997, 4544, 2013, 1996, 18921, 26966, 16626, 4498, 2007, 1996, 5310, 1012, 2151, 2224, 1997, 1996, 2592, 2005, 3293, 5682, 2003, 9975, 10890, 1012, 1996, 24641, 2224, 1997, 1996, 2616, 1523, 3190, 2610, 2533, 1010, 1524, 1523, 3190, 2610, 1010, 1524, 2030, 2151, 3609, 3085, 20017, 1997, 2122, 2616, 2030, 1996, 24641, 2224, 1997, 1996, 3190, 2610, 2533, 8154, 2003, 22300, 1012, 2023, 4773, 3931, 2515, 2025, 1010, 1999, 2151, 2126, 1010, 3166, 4697, 2107, 2224, 1012, 2951, 2003, 7172, 3679, 1012, 2885, 4949, 1024, 2346, 7341, 1998, 2062, 2131, 2369, 1996, 5019, 1997, 2613, 6921, 1010, 8849, 1996, 2252, 1521, 1055, 17160, 2688, 1998, 3357, 2046, 1996, 2867, 1521, 5278, 4734, 999, 2023, 10877, 2094, 2675, 2284, 1999, 1996, 3439, 2803, 1997, 1996, 2103, 2003, 1996, 2540, 1997, 5292, 4523, 4645, 6921, 1012, 2328, 2011, 2798, 3523, 1999, 1996, 4985, 2301, 1010, 2023, 15447, 10911, 2389, 4796, 2003, 2028, 1997, 6921, 1521, 1055, 2087, 14430, 16209, 1012, 3577, 1521, 1055, 2190, 2124, 2395, 3006, 2003, 2028, 1997, 1996, 4587, 1999, 6921, 1010, 5306, 2067, 2000, 2865, 13331, 2140, 2335, 1012, 7523, 1996, 2103, 1521, 1055, 2087, 2759, 15925, 1998, 13051, 1010, 2013, 2028, 1997, 2885, 1521, 1055, 2922, 2548, 22763, 2000, 1996, 12047, 10975, 9365, 2688, 1998, 2613, 6921, 1521, 1055, 3346, 1012, 7523, 2184, 3182, 2125, 1996, 7854, 2650, 2008, 2115, 4440, 2000, 6921, 2876, 1521, 1056, 2022, 3143, 2007, 5873, 1012, 2007, 2266, 3032, 1010, 1996, 2088, 2924, 2177, 2003, 1037, 4310, 3795, 5386, 3554, 5635, 4969, 2083, 9084, 7300, 1012, 4553, 2013, 2231, 1998, 2449, 6304, 1012, 7523, 1996, 6745, 1999, 3295, 4454, 1012, 22459, 1010, 5468, 1010, 2030, 17908, 5269, 2013, 5973, 1010, 3810, 2152, 1011, 6210, 9682, 4949, 2951, 2046, 1037, 3928, 2622, 2968, 6994, 1012, 3288, 4507, 2000, 2115, 2622, 1010, 2006, 5157, 1012, 2379, 2863, 2361, 7605, 2003, 17431, 6851, 1998, 2128, 6632, 6321, 2039, 1011, 2000, 1011, 3058, 1010, 2241, 2006, 2256, 2190, 1011, 1999, 1011, 2465, 9682, 13425, 1012, 3443, 4254, 1998, 10047, 16862, 2063, 2115, 22859, 1999, 28667, 8649, 3490, 4143, 6321, 2783, 1010, 2613, 1011, 2088, 6123, 1012, 19019, 2024, 2235, 11767, 2107, 2004, 22529, 2229, 2030, 16356, 2015, 2008, 2064, 4287, 26835, 2015, 2013, 2711, 2000, 2711, 1998, 2173, 2000, 2173, 1012, 8866, 21030, 3215, 2005, 8519, 2055, 1996, 2087, 2691, 16356, 2427, 1999, 2885, 1024, 11814, 19847, 26220, 13429, 1998, 1044, 21095, 5358, 2863, 7785, 4017, 2819, 1012, 9867, 1998, 4295, 2951, 1012, 22529, 7341, 16356, 7341, 6887, 2571, 18384, 20936, 2638, 7341, 11594, 2005, 22529, 9867, 1012, 16356, 7341, 1012, 10474, 9130, 5799, 1999, 5653, 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, 3531, 3191, 2122, 3408, 1997, 2326, 1006, 1996, 1523, 3820, 1524, 1007, 5362, 1012, 2115, 2224, 1997, 1996, 4037, 1006, 2004, 4225, 2917, 1007, 17367, 2115, 9619, 2000, 2023, 3820, 1012, 2023, 3820, 2003, 2090, 2017, 1998, 16012, 14192, 7068, 7276, 1006, 1523, 2194, 1524, 2030, 1523, 2057, 1524, 2030, 1523, 2149, 1524, 1007, 7175, 2115, 2224, 1997, 1006, 2164, 2151, 3229, 2000, 1007, 1996, 16012, 14192, 7068, 7276, 2609, 2747, 2284, 2012, 16770, 1024, 1013, 1013, 7479, 1012, 16012, 14192, 7068, 11246, 22471, 1012, 4012, 1006, 2362, 2007, 2151, 4475, 1998, 2578, 2800, 2045, 2378, 1010, 1998, 6332, 2609, 1006, 1055, 1007, 1998, 10439, 1006, 1055, 1007, 2045, 3406, 1010, 1996, 1523, 4037, 1524, 1007, 1012, 2023, 3820, 2182, 3762, 12374, 2011, 2023, 4431, 2151, 3176, 3408, 1998, 3785, 6866, 2011, 2194, 2083, 1996, 4037, 1010, 2030, 4728, 2081, 2800, 2000, 2017, 2011, 2194, 1006, 1523, 3176, 3408, 1524, 1007, 1012, 3531, 3602, 2008, 1996, 4037, 2089, 6709, 1010, 2030, 2191, 2800, 3688, 2030, 2578, 1997, 1010, 3056, 9871, 11670, 1006, 1523, 10802, 11422, 1524, 1007, 1012, 2151, 10802, 11422, 2024, 2353, 4243, 1010, 1998, 2151, 2107, 3688, 2030, 2578, 1006, 2029, 2089, 2421, 9871, 2578, 1010, 5850, 2030, 2966, 5733, 1007, 2024, 2641, 2353, 2283, 4475, 1010, 2004, 4225, 2917, 1012, 2194, 2993, 2003, 2025, 1037, 9871, 10802, 1010, 1998, 2003, 2025, 3625, 2005, 2151, 2107, 2353, 2283, 4475, 1012, 2011, 2478, 1996, 4037, 1010, 2017, 21358, 27972, 2008, 2017, 2024, 1997, 3423, 2287, 2000, 4607, 2046, 2023, 3820, 2030, 1010, 2065, 2017, 2024, 2025, 1010, 2008, 2017, 2031, 4663, 18643, 2030, 6697, 9619, 2000, 4607, 2046, 2023, 3820, 1012, 26206, 1996, 18921, 26966, 1010, 18464, 2104, 7093, 1006, 2410, 1007, 2086, 2214, 2024, 2025, 7936, 2000, 3229, 2030, 2224, 1996, 4037, 2030, 2000, 4607, 2046, 2023, 3820, 1010, 2130, 2065, 1037, 6687, 2030, 3423, 6697, 2052, 2022, 5627, 2000, 3073, 9619, 1012, 1037, 6687, 2030, 3423, 6697, 1997, 2019, 3265, 2104, 1996, 2287, 1997, 7763, 1006, 2324, 1007, 2089, 23469, 2107, 3265, 1521, 1055, 2224, 1997, 1996, 4037, 1012, 2065, 2017, 2024, 1996, 6687, 2030, 3423, 6697, 1997, 2019, 3265, 2104, 1996, 2287, 1997, 7763, 1006, 2324, 1007, 1998, 2903, 2008, 2107, 3265, 2038, 2109, 1996, 4037, 2302, 2115, 9619, 2030, 20104, 1010, 3531, 3967, 2149, 2012, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1012, 2023, 3820, 3397, 1037, 10915, 18010, 9347, 2008, 1010, 2004, 2275, 5743, 1999, 2930, 2322, 2917, 1010, 5942, 1996, 2224, 1997, 18010, 2006, 2019, 3265, 3978, 2000, 10663, 11936, 1010, 2738, 2084, 6467, 7012, 2030, 2151, 2060, 2457, 8931, 1010, 2030, 2465, 4506, 1997, 2151, 2785, 1012, 2007, 4847, 2000, 4346, 2966, 2578, 1010, 2057, 2552, 9578, 2004, 1037, 2974, 4132, 2000, 7532, 2017, 2007, 1996, 3688, 1998, 2578, 6749, 2011, 2981, 2966, 1998, 3096, 16302, 8519, 1012, 2057, 2079, 2025, 2491, 2030, 15115, 2007, 1996, 3218, 1997, 4200, 2011, 2981, 2966, 1998, 3096, 16302, 8519, 1010, 2169, 1997, 3183, 2003, 9578, 3625, 2005, 2966, 2241, 11433, 1998, 3949, 2002, 2030, 2016, 3640, 2000, 2017, 1012, 2644, 16986, 3084, 2053, 15066, 2030, 10943, 3111, 2055, 1996, 4848, 8010, 1010, 15258, 1010, 17060, 4757, 2030, 10640, 1997, 2981, 2966, 1998, 3096, 16302, 6739, 1521, 1055, 11433, 1012, 1012, 2011, 10564, 2023, 3820, 1010, 2017, 13399, 1998, 5993, 2008, 2644, 16986, 2003, 2025, 1037, 9871, 10802, 1998, 2008, 2011, 2478, 1996, 2326, 1010, 2017, 2024, 2025, 5738, 2046, 1037, 3460, 1011, 5776, 2030, 2060, 2740, 2729, 10802, 1011, 5776, 3276, 2007, 2644, 16986, 1012, 2057, 2089, 2689, 2023, 3820, 2013, 2051, 2000, 2051, 2011, 2025, 11787, 2017, 1997, 2107, 3431, 2011, 2151, 9608, 2965, 1010, 2164, 2011, 14739, 1037, 8001, 3820, 2083, 1996, 4037, 1012, 2151, 2107, 3431, 2097, 2025, 6611, 2000, 2151, 7593, 2090, 2017, 1998, 2149, 17707, 3188, 2000, 1996, 3058, 2006, 2029, 2057, 6866, 1996, 8001, 3820, 13543, 2107, 3431, 2030, 4728, 19488, 2017, 1997, 2107, 3431, 1012, 2115, 2224, 1997, 1996, 4037, 2206, 2151, 3431, 2000, 2023, 3820, 2097, 12346, 2115, 9920, 1997, 2107, 3431, 1012, 1996, 1523, 2197, 7172, 1524, 5722, 2682, 7127, 2043, 2023, 3820, 2001, 2197, 2904, 1012, 2057, 2089, 1010, 2012, 2151, 2051, 1998, 2302, 14000, 1010, 19933, 2030, 12532, 16778, 11231, 2063, 2035, 2030, 2112, 1997, 1996, 4037, 1006, 2164, 3229, 2000, 1996, 4037, 3081, 2151, 2353, 1011, 2283, 6971, 1007, 1025, 3715, 1010, 19933, 2030, 23701, 3726, 2151, 9883, 3223, 2000, 2224, 1996, 4037, 1025, 2030, 3749, 6695, 2000, 2070, 2030, 2035, 4037, 5198, 1012, 1996, 4037, 2003, 4758, 2030, 3498, 1006, 2030, 2119, 1007, 2013, 1996, 2142, 2163, 1998, 2003, 2025, 3832, 2000, 3395, 2194, 2000, 2151, 2512, 1011, 1057, 1012, 1055, 1012, 7360, 2030, 2375, 1012, 1996, 4037, 2089, 2025, 2022, 6413, 2030, 2800, 2005, 2224, 1999, 2070, 2512, 1011, 1057, 1012, 1055, 1012, 17370, 1012, 2151, 2224, 1997, 1996, 4037, 2003, 2012, 2115, 2219, 3891, 1010, 1998, 2017, 2442, 14037, 2007, 2035, 12711, 4277, 1010, 3513, 1998, 7040, 1999, 2725, 2061, 1012, 2057, 2089, 5787, 1996, 4037, 1521, 1055, 11343, 2012, 2151, 2051, 1010, 1999, 2878, 2030, 1999, 2112, 1010, 2000, 2151, 2711, 1010, 9183, 2181, 2030, 7360, 2008, 2057, 5454, 1012, 1999, 4434, 2007, 1996, 4037, 1010, 2017, 2442, 2025, 1024, 1999, 4434, 2007, 1996, 4037, 1010, 2017, 4618, 2025, 8757, 2194, 3202, 2065, 2017, 2468, 5204, 1997, 2151, 27118, 9468, 4648, 9243, 1010, 10697, 1010, 18168, 14643, 8496, 2030, 4297, 5644, 27870, 14767, 1999, 1996, 2592, 2030, 4180, 3024, 2083, 1996, 4037, 1998, 2000, 14037, 2007, 2151, 6149, 3512, 2895, 2579, 2011, 2194, 1012, 2017, 2024, 3625, 2005, 11381, 1010, 8498, 1998, 7079, 2005, 2035, 8051, 1998, 2035, 12108, 1998, 2060, 2578, 2734, 2000, 2224, 1996, 4037, 1012, 1996, 4037, 2089, 2191, 2800, 26213, 1010, 13271, 1998, 4871, 1997, 5350, 2030, 2578, 2030, 3141, 8648, 5644, 1010, 19575, 2015, 2030, 7012, 1997, 5350, 2030, 2578, 1006, 13643, 1010, 1523, 3688, 1524, 1007, 1010, 2004, 2092, 2004, 7604, 1998, 6971, 2000, 3688, 1012, 1996, 11343, 1997, 2151, 4031, 1006, 2164, 1996, 16406, 1997, 2151, 8648, 2239, 2030, 19575, 1007, 2024, 3395, 2000, 2689, 2012, 2151, 2051, 2302, 5060, 1012, 3056, 15871, 1010, 5761, 1998, 2714, 13271, 2024, 15796, 1998, 2024, 2005, 15106, 2069, 1012, 2009, 2003, 2115, 5368, 2000, 2004, 17119, 18249, 1998, 15470, 2035, 12711, 2334, 1010, 2110, 1010, 2976, 1998, 3097, 4277, 1006, 2164, 6263, 2287, 5918, 1007, 4953, 1996, 5309, 1010, 6664, 1998, 2224, 1997, 2151, 4031, 1012, 2057, 2089, 2191, 2800, 1996, 3754, 2000, 1006, 1045, 1007, 10639, 2007, 1037, 9871, 10802, 1998, 1006, 2462, 1007, 5309, 2030, 4728, 6855, 3056, 3688, 2083, 1996, 4037, 1010, 2164, 7012, 1997, 5350, 2030, 2578, 1006, 2119, 1006, 1045, 1007, 1998, 1006, 2462, 1007, 3615, 2000, 2004, 1037, 1523, 12598, 1524, 1007, 1012, 2065, 2017, 4299, 2000, 2191, 1037, 12598, 1010, 2017, 2089, 2022, 2356, 2000, 4425, 3056, 7882, 2592, 1010, 2107, 2004, 2115, 4923, 4003, 2193, 1998, 2049, 4654, 16781, 3058, 1010, 2115, 25640, 4769, 1998, 2115, 7829, 2592, 1012, 2017, 5050, 1998, 10943, 2008, 2017, 2031, 1996, 2157, 2000, 2224, 2151, 4923, 4003, 2030, 2060, 7909, 2592, 2008, 2017, 12040, 1999, 4434, 2007, 1037, 12598, 1012, 2011, 12040, 3436, 2107, 2592, 1010, 2017, 2182, 3762, 3166, 4697, 2194, 2000, 3715, 2017, 1998, 3946, 2000, 2149, 1996, 2157, 2000, 3073, 2107, 2592, 2000, 2353, 4243, 2005, 5682, 1997, 25505, 11817, 1010, 2164, 2083, 18247, 1010, 4297, 1012, 1006, 1523, 18247, 1524, 1007, 1010, 2194, 1521, 1055, 2353, 1011, 2283, 7909, 6364, 2326, 1012, 22616, 1997, 2592, 2089, 2022, 3223, 3188, 2000, 1996, 9353, 2243, 19779, 3709, 21693, 4765, 2030, 6503, 1997, 2151, 12598, 1012, 2065, 2115, 7909, 4118, 11896, 2030, 9883, 3378, 2007, 2115, 4070, 2024, 2627, 2349, 1010, 2057, 2089, 8145, 9883, 12232, 2478, 2060, 3074, 10595, 1010, 2421, 13003, 2060, 7909, 4725, 2006, 5371, 1006, 2164, 2007, 18247, 1007, 1998, 1013, 2030, 12823, 3074, 6736, 1998, 3423, 9517, 1012, 2011, 2437, 1037, 12598, 1010, 2017, 5050, 2008, 1996, 12711, 3688, 2097, 2022, 2109, 2069, 1999, 1037, 26410, 5450, 1012, 2057, 3914, 1996, 2157, 2000, 2689, 1996, 4127, 1997, 11817, 2005, 2029, 2057, 3715, 1010, 1998, 2057, 3914, 1996, 2157, 2000, 3715, 2005, 16053, 2015, 2007, 2115, 9871, 10802, 1012, 7012, 1998, 15002, 2015, 1997, 3688, 2030, 2578, 2024, 3395, 2000, 1996, 3408, 1998, 3785, 12711, 2000, 2107, 7012, 1998, 15002, 2015, 2800, 2006, 1996, 4037, 1012, 2194, 8269, 1996, 2157, 1010, 2164, 2302, 3188, 5060, 1010, 2000, 5787, 1996, 2800, 11712, 1997, 2030, 12532, 16778, 11231, 2063, 2437, 2800, 2151, 4031, 1025, 2000, 17607, 3785, 2006, 1996, 21494, 1997, 2151, 8648, 2239, 1010, 19575, 1010, 3979, 2030, 2714, 4712, 1025, 2000, 3347, 2151, 5310, 2013, 2437, 2151, 12598, 1025, 1998, 2000, 10214, 2000, 3073, 2151, 5310, 2007, 2151, 4031, 1012, 25416, 26698, 1998, 15800, 2097, 2022, 3395, 2000, 2194, 1521, 1055, 12711, 25416, 8630, 1998, 3863, 6043, 1012, 2017, 5993, 2000, 3477, 2035, 5571, 22667, 2011, 2017, 2030, 2006, 2115, 6852, 2083, 1996, 4037, 1010, 2012, 1996, 7597, 1999, 3466, 2043, 2107, 5571, 2024, 22667, 1010, 2164, 2035, 7829, 1998, 8304, 5571, 1012, 1999, 2804, 1010, 2017, 2024, 3625, 2005, 2151, 7773, 12711, 2000, 2115, 11817, 1012, 2096, 2009, 2003, 2256, 3218, 2000, 12210, 4449, 2011, 1041, 1011, 5653, 1010, 1996, 24306, 1997, 2019, 1041, 1011, 5653, 2344, 13964, 2515, 2025, 12346, 2256, 9920, 1997, 2019, 2344, 2030, 2256, 13964, 1997, 2019, 3749, 2000, 5271, 1037, 4031, 2030, 2326, 1012, 3688, 2097, 2022, 12057, 2000, 2019, 4769, 4351, 2011, 2017, 1010, 2065, 12711, 1010, 2061, 2146, 2004, 2107, 4769, 2003, 3143, 1998, 4012, 24759, 3111, 2007, 1996, 7829, 9259, 4838, 2006, 1996, 4037, 1012, 2035, 11817, 2024, 2081, 27081, 2000, 1037, 22613, 3206, 1010, 1998, 1010, 2004, 1037, 2765, 1010, 3891, 1997, 3279, 1998, 2516, 2005, 3688, 3413, 2000, 2017, 2588, 6959, 1997, 1996, 3688, 2000, 1996, 6839, 1012, 2017, 2024, 3625, 2005, 15242, 2151, 4447, 2007, 11363, 2005, 5591, 1998, 1013, 2030, 2439, 24636, 1012, 2017, 2089, 2342, 2000, 4236, 2000, 2224, 2035, 2030, 2112, 1997, 1996, 4037, 1012, 2057, 2089, 15454, 1010, 2030, 5478, 2008, 2017, 2689, 1010, 2151, 5310, 2171, 1010, 20786, 2030, 2060, 2592, 2008, 2017, 3073, 2000, 2149, 1999, 25719, 1012, 2115, 5310, 2171, 1998, 20786, 2024, 2005, 2115, 3167, 2224, 2069, 1998, 2323, 2022, 2921, 18777, 1025, 2017, 1010, 1998, 2025, 2194, 1010, 2024, 3625, 2005, 2151, 2224, 2030, 28616, 8557, 1997, 2115, 5310, 2171, 2030, 20786, 1010, 1998, 2017, 2442, 13364, 2025, 8757, 2149, 1997, 2151, 18777, 3012, 12510, 2030, 24641, 2224, 1997, 2115, 5310, 2171, 1010, 20786, 2030, 4037, 4070, 1012, 2017, 2089, 2025, 2224, 1996, 4037, 4070, 1997, 2151, 2060, 16012, 14192, 7068, 7276, 5310, 2012, 2151, 2051, 1012, 2065, 2017, 2024, 2104, 1996, 2287, 1997, 2324, 1010, 2115, 5310, 2171, 1998, 20786, 2323, 2036, 2022, 4207, 2007, 2115, 6687, 2030, 3423, 6697, 2005, 1996, 5682, 1997, 8822, 2115, 2966, 2729, 1012, 4037, 5731, 2089, 2191, 2800, 3056, 4475, 1006, 2169, 1010, 1037, 1523, 12339, 1524, 1007, 2083, 2030, 1999, 4434, 2007, 1996, 4037, 1010, 2164, 2006, 6337, 5530, 1010, 2006, 2591, 2865, 2030, 2006, 1996, 4037, 1521, 1055, 9123, 2578, 1010, 2107, 2004, 4471, 7923, 1998, 2060, 21415, 1010, 1998, 22331, 1010, 15591, 1998, 2060, 24732, 15380, 1012, 1523, 27842, 1524, 2079, 2025, 2421, 2115, 7591, 2740, 2592, 1012, 2194, 2038, 2053, 2491, 2058, 1998, 2003, 2025, 3625, 2005, 2151, 2224, 2030, 28616, 8557, 1006, 2164, 2151, 4353, 1007, 2011, 2151, 2353, 2283, 1997, 27842, 1012, 2065, 2017, 5454, 2000, 2191, 2151, 1997, 2115, 7714, 27800, 2030, 2060, 2592, 7271, 2800, 2083, 1996, 4037, 1010, 2017, 2079, 2061, 2012, 2115, 2219, 3891, 1012, 2005, 5682, 1997, 15563, 1010, 2017, 9279, 6095, 1997, 2115, 27842, 1012, 2005, 2169, 12339, 1010, 2017, 2182, 3762, 3946, 2000, 2149, 1037, 4969, 1010, 16664, 1011, 2489, 1010, 3929, 3825, 1011, 2039, 1010, 2512, 1011, 7262, 1010, 18870, 1010, 20868, 2890, 6767, 21170, 1010, 4651, 3085, 1998, 3929, 4942, 13231, 3619, 3085, 1006, 2083, 3674, 7563, 2015, 1007, 6105, 1010, 2302, 3176, 9584, 2000, 2017, 2030, 2151, 2353, 2283, 1010, 2000, 21376, 1010, 16062, 1010, 4685, 1998, 4653, 1006, 7271, 2030, 4728, 1007, 1010, 3443, 13819, 2573, 1997, 1010, 15581, 1010, 19933, 1998, 4728, 2224, 1010, 17908, 1998, 18077, 2107, 12339, 1010, 1999, 2151, 4289, 2030, 2865, 2085, 2124, 2030, 2182, 10354, 3334, 2764, 1010, 1998, 2005, 2151, 3800, 1006, 2164, 10319, 5682, 1010, 2107, 2004, 3231 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1999, 2233, 12609, 1010, 1996, 21183, 5116, 3916, 2701, 2000, 1996, 2270, 2349, 2000, 2522, 17258, 1011, 2539, 2045, 2003, 2053, 3916, 3479, 2030, 1996, 3916, 2001, 17159, 1012, 2045, 2003, 2053, 3916, 3479, 2030, 1996, 3916, 2001, 17159, 1012, 4787, 28514, 1024, 8272, 1999, 5726, 2337, 1018, 1516, 2656, 1010, 2249, 28514, 1010, 2040, 2003, 2092, 3858, 2005, 2010, 2312, 1011, 4094, 1010, 4895, 10273, 2094, 14692, 10801, 2097, 2147, 2007, 21183, 2396, 2493, 2000, 9570, 2023, 2622, 1012, 28514, 1521, 1055, 14111, 4769, 1996, 3276, 2090, 3267, 1998, 3226, 1516, 2062, 4919, 1010, 1996, 2965, 2083, 2029, 3824, 3226, 9570, 2015, 2019, 4824, 1997, 3267, 1012, 28514, 2747, 4240, 2006, 1996, 4513, 2012, 1996, 2047, 2259, 2110, 2267, 1997, 17314, 1010, 6152, 1010, 6396, 1012, 3773, 2477, 1024, 8963, 12385, 17166, 2233, 1018, 1516, 2656, 1010, 2249, 8963, 12385, 17166, 1521, 1055, 2147, 22013, 1998, 28667, 25377, 27465, 2235, 14320, 1997, 13425, 11780, 2013, 8028, 5265, 1010, 2647, 9254, 1998, 5781, 10485, 1998, 21743, 2068, 2046, 2312, 2573, 2006, 3536, 9320, 2008, 3443, 1037, 2047, 5107, 2653, 4498, 2367, 2013, 2049, 2434, 7848, 1012, 8963, 12385, 17166, 2003, 2019, 3063, 2241, 1999, 2047, 2259, 2103, 1012, 2396, 1997, 3735, 2258, 1015, 1516, 2382, 1010, 2249, 1996, 21183, 5116, 3916, 2003, 2926, 7537, 2000, 2556, 2396, 1997, 3735, 1010, 1996, 3074, 1997, 6059, 1004, 3680, 1012, 5125, 13402, 2076, 1996, 3204, 1997, 2258, 1998, 1996, 3899, 3702, 2840, 2782, 7401, 1012, 2023, 4538, 2950, 5265, 1010, 6743, 1010, 5154, 2396, 1998, 3221, 2573, 2011, 2070, 3735, 1521, 1055, 2877, 3324, 2551, 2651, 2107, 2004, 3968, 25911, 1040, 16050, 26437, 1010, 9761, 2483, 14919, 8945, 10524, 5488, 1010, 4649, 24506, 2061, 3683, 2140, 1998, 23025, 8865, 16405, 17112, 27966, 6038, 5488, 2426, 2500, 1012, 5125, 13402, 1010, 2001, 3664, 1997, 20021, 2013, 3055, 1011, 2494, 1998, 2366, 2004, 1996, 1057, 1012, 1055, 1012, 6059, 2000, 3735, 2013, 2432, 2127, 2268, 1012, 2089, 1020, 1516, 2676, 1010, 2249, 2296, 2154, 1010, 11994, 2221, 2396, 5089, 23313, 2037, 2051, 1998, 2943, 2000, 8754, 17441, 14842, 1998, 4187, 4813, 1999, 2037, 2493, 1012, 2005, 2062, 2084, 1037, 5476, 1010, 1996, 11994, 2221, 2396, 19156, 4538, 2038, 2445, 2122, 2168, 5089, 2019, 4495, 2000, 2053, 9496, 4095, 1998, 13398, 2037, 2219, 6018, 11725, 1012, 1996, 4538, 2038, 6551, 3445, 7073, 1997, 1996, 5197, 1997, 2396, 2495, 1999, 11994, 2221, 1012, 2023, 2003, 1996, 5116, 3916, 1521, 1055, 2353, 2095, 2000, 3677, 2023, 4538, 1010, 2029, 2950, 1010, 5265, 1010, 9254, 1010, 6743, 1010, 6140, 12614, 1010, 5855, 1998, 2678, 1012, 2957, 3393, 7959, 12229, 1024, 1996, 2942, 2162, 2186, 2251, 1015, 1516, 2257, 2410, 1010, 2249, 2957, 3393, 7959, 12229, 4036, 8425, 2640, 1998, 14614, 5352, 2012, 1996, 2118, 1997, 5298, 2005, 3943, 2086, 1998, 2001, 1996, 2034, 8425, 2640, 4513, 2266, 5086, 2011, 1996, 2082, 1997, 2396, 1012, 2002, 2506, 2010, 2658, 2476, 2096, 4252, 2012, 21183, 1012, 2028, 1997, 2010, 2087, 16762, 5426, 2001, 1996, 2381, 1997, 1996, 2942, 2162, 1012, 2002, 2366, 2004, 2343, 1997, 1996, 20021, 2942, 2162, 2461, 10880, 1012, 3632, 2000, 5408, 1024, 2034, 2095, 26913, 4538, 2257, 2539, 1516, 2676, 1010, 2249, 1996, 21183, 5116, 3916, 2003, 7537, 2000, 8327, 1996, 2147, 1997, 2256, 2034, 2095, 4619, 2493, 2040, 2024, 5738, 1996, 21183, 2082, 1997, 2396, 4619, 2565, 2306, 2037, 2536, 12736, 1012, 1996, 8327, 27397, 1996, 5151, 5848, 1998, 6018, 12018, 1997, 2122, 2047, 2493, 1010, 2029, 2950, 4169, 1010, 6140, 12614, 1010, 8425, 2640, 1998, 6743, 2573, 1012, 22922, 2493, 2020, 1024, 4080, 21442, 6935, 2015, 1010, 2258, 10384, 9834, 1010, 4388, 6187, 22971, 1010, 25022, 2121, 2527, 16360, 4842, 2102, 1010, 3817, 13958, 7485, 9910, 1010, 8410, 15315, 7828, 4059, 1010, 7673, 8040, 5369, 13094, 1010, 5655, 5622, 5054, 3762, 1010, 6796, 5726, 1010, 17214, 2527, 5690, 1010, 1998, 3848, 10131, 1012, 3660, 2016, 8024, 1024, 12375, 2614, 2244, 1016, 1516, 2382, 1010, 2249, 12375, 2614, 15102, 4784, 2055, 1996, 6630, 1997, 2686, 2083, 1996, 2224, 1997, 2614, 1012, 2065, 6743, 2003, 2019, 8993, 1997, 2686, 2083, 2433, 1010, 1999, 2122, 2573, 1997, 2614, 6743, 1010, 2614, 4150, 1996, 3078, 3579, 1997, 1996, 8993, 1997, 2093, 1011, 8789, 2686, 1012, 3660, 2016, 8024, 2003, 1037, 10160, 2040, 2411, 2573, 2007, 2614, 1012, 2010, 2147, 2038, 2042, 4235, 3491, 1010, 2164, 2010, 27496, 15272, 2614, 2622, 8272, 2012, 1996, 27496, 15272, 2688, 1997, 2396, 1998, 2195, 8596, 2012, 1996, 5035, 6469, 3916, 1999, 2047, 2259, 2103, 1012, 2002, 2038, 2207, 2195, 6407, 1997, 2492, 2680, 1998, 20063, 4165, 1012, 6796, 13031, 5953, 1024, 1996, 14496, 2255, 1021, 1516, 2654, 1010, 2249, 1996, 14496, 2003, 1037, 4800, 1011, 17972, 8272, 1998, 2836, 2008, 28062, 1996, 2576, 6107, 1997, 2614, 1010, 2119, 1999, 8391, 1997, 10398, 1998, 2004, 6186, 1010, 1998, 1996, 5107, 7632, 6906, 11140, 3111, 1997, 1996, 6549, 3029, 1997, 3004, 2686, 1012, 1996, 4032, 2003, 5792, 2007, 2493, 1998, 4513, 1997, 1996, 21183, 2189, 2533, 1012, 4166, 5455, 1010, 4543, 1010, 1998, 21183, 2632, 2819, 4463, 5953, 2097, 2147, 2007, 2023, 2177, 2000, 3443, 2019, 1022, 1011, 2184, 3538, 6770, 4032, 2008, 2097, 2022, 4146, 2000, 4685, 1037, 3556, 2008, 12363, 2013, 4556, 1010, 25251, 20691, 1010, 2046, 1996, 6943, 1998, 8928, 2614, 1997, 2304, 2373, 9736, 1010, 2083, 5154, 6782, 1997, 6259, 8489, 1010, 1998, 2633, 2046, 11113, 8180, 3512, 5099, 6154, 1012, 16100, 1998, 2060, 3934, 1024, 9079, 23564, 2271, 3678, 2281, 1018, 1516, 2656, 1010, 2249, 9079, 23564, 2271, 3678, 1521, 1055, 2147, 2003, 2055, 8651, 2083, 5396, 2015, 2119, 18204, 1998, 19240, 7476, 1012, 2005, 2023, 2303, 1997, 2147, 1010, 2016, 2038, 8590, 16100, 1010, 1037, 3565, 2385, 3461, 2143, 2081, 1999, 2289, 1010, 2029, 2001, 3491, 2012, 1996, 8945, 3207, 2688, 1010, 2046, 1037, 2186, 1997, 2304, 1010, 2317, 1010, 1998, 6910, 8902, 20679, 2015, 1012, 1999, 1996, 2143, 1523, 16100, 1524, 1996, 3063, 17193, 2083, 3145, 5269, 1998, 9941, 1999, 1996, 2103, 1997, 4068, 7161, 2000, 2424, 19240, 7476, 2686, 1998, 18204, 2717, 2005, 2048, 8903, 10801, 1010, 2028, 2931, 1998, 2028, 3287, 1012, 2004, 23564, 2271, 3678, 1998, 2014, 2048, 8903, 2100, 21989, 2693, 2083, 1996, 2103, 1010, 1037, 2512, 1011, 7399, 7984, 4895, 10371, 2015, 1012, 2027, 8087, 4573, 2430, 2000, 1996, 2166, 1997, 1996, 2103, 1010, 2066, 1037, 7852, 4713, 1998, 1037, 3780, 3269, 1010, 2004, 2092, 2004, 3439, 4573, 1010, 2066, 1037, 11984, 9778, 2380, 1999, 1996, 2280, 2264, 1012, 23564, 2271, 3678, 1521, 1055, 18987, 2007, 1996, 13425, 2013, 1996, 2143, 15055, 2014, 2000, 2128, 10288, 19915, 1996, 4180, 1998, 1996, 3252, 1997, 1996, 2367, 5019, 2083, 8902, 20679, 1012, 2478, 23318, 1998, 28667, 2239, 8873, 27390, 3370, 1010, 1996, 8902, 20679, 2015, 2024, 1037, 2367, 2126, 1997, 11131, 1996, 2552, 1997, 7467, 1010, 9260, 1010, 1998, 2437, 1996, 2614, 1010, 2029, 2024, 2035, 6177, 2008, 3443, 1996, 3192, 1998, 3574, 1997, 1996, 8902, 20679, 2015, 1012, 3562, 2427, 1024, 24023, 2285, 1016, 1010, 2249, 1516, 2254, 2321, 1010, 2262, 3562, 2427, 1024, 24023, 7679, 2006, 16310, 2013, 1996, 4568, 3074, 1997, 1996, 24023, 3916, 1997, 2396, 1998, 4294, 1012, 2169, 2147, 1997, 2396, 2003, 2142, 2011, 1037, 2691, 3395, 3043, 1517, 1996, 2983, 9617, 9067, 2401, 1012, 2023, 4538, 2950, 2396, 1999, 2035, 2865, 1517, 2678, 1010, 6743, 1010, 4169, 1010, 6140, 12614, 1010, 1998, 5855, 1012, 3562, 2427, 1024, 24023, 2950, 2573, 2011, 3324, 2107, 2004, 11623, 22457, 1010, 10870, 11655, 4226, 1010, 5557, 2162, 14854, 1010, 9790, 24873, 1010, 10508, 17590, 1010, 4787, 2038, 18690, 9374, 2239, 1010, 10582, 29095, 1010, 2928, 14233, 11368, 2480, 1010, 6676, 28353, 2100, 1010, 29298, 7702, 1010, 1998, 3968, 2225, 13124, 1012, 1037, 2193, 1997, 1996, 4109, 2024, 2036, 2011, 2783, 1998, 2280, 2118, 1997, 5298, 2396, 12655, 1024, 5215, 5954, 1010, 2703, 3389, 1010, 17935, 3567, 2483, 16642, 1010, 12234, 11338, 20553, 3762, 1010, 1998, 12082, 4419, 1012, 2417, 12879, 24002, 1996, 3674, 1024, 7093, 2887, 6140, 12088, 2254, 2322, 1516, 2337, 2423, 1010, 2262, 2023, 4538, 20798, 1996, 2110, 1997, 3824, 6140, 12614, 1999, 2900, 1010, 1998, 7860, 1996, 3151, 15182, 1997, 11204, 1998, 6140, 12614, 1012, 2035, 1997, 1996, 8019, 3324, 2363, 2037, 5337, 2731, 2004, 6140, 12088, 1998, 1996, 2537, 1997, 3674, 2015, 3464, 2012, 1996, 2540, 1997, 2037, 5541, 2832, 1012, 2096, 16911, 5906, 1998, 5461, 1997, 1996, 6140, 8571, 1010, 2070, 1997, 1996, 3324, 2085, 3443, 2147, 2008, 2038, 23946, 2046, 3596, 2008, 2024, 3378, 2007, 2060, 2865, 1010, 2107, 2004, 6743, 1010, 4169, 1010, 1998, 3617, 12126, 1012, 1997, 1996, 3479, 6818, 1010, 2176, 2191, 2093, 1011, 8789, 5200, 1998, 14111, 1010, 2048, 6773, 2007, 6140, 12614, 5906, 1010, 2093, 16462, 3617, 5855, 1998, 2974, 1010, 2096, 1996, 2500, 7323, 3151, 1998, 20123, 6140, 12614, 5461, 1012, 2169, 3063, 8176, 2093, 2000, 2274, 2573, 1010, 4525, 1999, 1037, 7578, 4989, 1997, 5200, 1998, 4871, 2013, 1996, 2398, 1997, 2019, 8053, 7578, 2177, 1997, 3324, 1010, 2164, 2273, 1998, 2308, 1997, 2536, 5535, 2013, 2037, 3054, 1011, 18946, 2000, 3054, 1011, 22651, 1012, 1996, 3324, 13960, 1998, 2147, 1999, 2367, 4655, 2802, 2900, 1010, 1998, 1996, 5107, 4180, 1997, 2037, 2147, 8483, 5973, 2013, 5337, 24504, 1010, 2000, 27758, 2015, 1997, 3151, 2887, 3451, 4871, 1012, 2522, 1011, 17940, 2011, 24023, 3916, 2472, 3520, 20356, 1998, 5342, 3211, 5035, 4648, 1010, 3242, 1997, 6140, 12614, 2012, 15008, 2103, 2118, 1997, 2840, 1010, 2417, 12879, 24002, 1996, 3674, 7545, 1996, 2190, 1997, 3824, 2887, 6140, 12614, 2000, 1996, 2142, 2163, 1012, 1999, 2895, 1024, 2928, 9464, 2233, 1016, 1516, 2861, 1010, 2262, 3063, 2928, 9464, 9005, 2192, 1011, 22404, 9353, 23320, 2594, 27158, 8640, 2015, 1997, 5394, 12703, 1010, 11204, 1997, 1996, 3063, 1999, 9427, 1010, 1998, 7844, 1010, 9427, 2094, 3275, 10801, 1012, 1996, 12703, 2024, 2166, 2946, 1010, 4929, 3085, 5200, 2008, 6865, 14401, 2135, 2006, 6865, 2545, 1012, 2027, 4119, 1996, 3115, 13472, 2433, 1997, 1996, 5394, 1998, 3749, 1996, 2686, 2005, 2619, 2000, 5674, 2370, 2030, 2841, 4147, 1996, 9427, 1010, 3568, 3352, 1996, 5394, 1012, 2928, 2003, 2019, 3063, 1998, 11490, 2542, 1999, 25584, 4564, 1010, 4174, 1012, 2002, 2003, 1996, 3063, 1999, 5039, 1998, 2132, 1997, 11917, 2012, 1996, 13675, 2319, 9697, 2914, 1997, 2396, 1012, 2002, 3687, 2010, 28939, 2050, 2012, 1996, 5111, 2103, 2396, 2820, 1999, 3069, 1998, 2010, 26913, 2012, 1996, 2082, 1997, 1996, 2396, 2820, 1997, 3190, 1999, 2889, 1012, 9464, 1521, 1055, 2147, 2038, 2042, 8176, 2802, 1996, 1057, 1012, 1055, 1012, 1010, 2710, 1010, 1998, 2885, 1012, 2233, 1016, 1516, 2861, 1010, 2262, 2258, 1016, 1516, 2403, 1010, 2262, 2004, 2028, 1997, 1996, 3899, 3702, 2840, 2782, 1521, 1055, 3444, 10637, 1010, 26041, 1010, 27397, 2120, 1998, 2248, 3324, 2551, 1999, 3824, 6743, 1998, 1017, 1011, 1040, 2865, 1012, 7169, 10801, 9605, 2035, 6782, 1998, 11541, 2013, 8361, 1998, 2511, 3324, 2020, 3479, 2011, 7587, 3858, 18414, 29165, 1010, 5297, 12001, 1010, 2005, 4538, 2012, 1996, 2118, 1997, 5298, 1521, 1055, 5116, 3916, 1012, 26913, 2262, 1024, 25424, 2063, 13569, 28281, 1998, 6285, 16405, 28228, 3363, 2006, 3295, 2112, 1045, 1024, 2274, 5298, 20228, 12377, 2250, 12499, 2238, 1015, 1516, 2382, 1010, 2262, 20228, 12377, 2250, 4169, 2038, 1037, 4138, 2248, 4535, 1010, 1998, 2256, 3164, 5298, 3324, 2024, 2112, 1997, 2008, 22961, 1012, 3505, 1039, 1012, 10498, 1010, 3208, 1997, 1996, 21183, 5116, 3916, 1010, 1998, 1037, 20228, 12377, 2250, 5276, 2370, 1010, 17940, 2023, 4538, 1012, 2057, 2024, 8794, 2000, 1996, 3324, 2040, 2031, 2061, 12382, 2135, 3039, 2037, 2147, 2000, 2022, 4207, 2007, 1996, 20021, 2451, 1012, 1996, 2274, 2956, 3324, 2020, 1024, 4776, 10503, 2829, 1010, 5951, 1010, 28286, 1025, 5074, 8512, 2829, 1010, 8423, 1010, 28286, 1025, 18669, 20230, 1010, 5951, 1010, 28286, 1025, 12049, 14077, 1010, 23351, 1010, 28286, 1025, 1998, 6440, 2317, 14919, 1010, 5951, 1010, 28286, 1012, 2006, 3295, 2112, 2462, 1024, 2455, 6533, 2251, 1020, 1516, 2676, 1010, 2262, 2455, 6533, 2838, 2573, 2013, 2372, 1997, 1996, 3226, 5911, 7268, 2241, 2588, 2037, 3276, 2007, 1037, 3327, 2173, 1010, 2455, 14192, 1010, 5957, 1010, 21535, 1010, 2030, 2110, 1997, 2783, 5039, 1012, 2122, 4109, 1010, 2043, 4117, 1010, 3710, 2004, 7721, 2455, 9668, 1012, 11913, 1997, 19664, 2064, 2552, 2004, 16055, 1997, 4279, 14678, 1999, 19251, 1012, 1996, 5107, 8635, 2550, 2005, 2023, 4538, 2089, 3073, 1037, 2062, 3143, 4824, 1997, 2040, 1006, 1998, 2073 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2017, 2024, 2559, 2005, 2129, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1010, 1996, 4248, 4355, 1998, 5793, 2126, 2003, 2000, 26351, 2037, 2951, 2007, 24582, 23743, 2094, 2059, 8833, 1999, 2037, 24582, 23743, 2094, 2478, 2037, 6207, 8909, 1998, 20786, 1012, 2054, 2065, 2017, 2215, 2000, 8645, 2006, 18059, 2302, 24582, 23743, 2094, 20786, 1029, 2009, 2089, 2614, 24026, 1010, 2021, 4283, 2000, 10660, 12607, 1010, 2017, 2064, 2031, 2536, 7047, 2000, 6162, 2023, 1012, 2061, 1010, 2339, 8645, 2006, 2619, 1005, 1055, 18059, 1029, 2065, 2017, 2024, 1037, 6687, 1010, 2017, 2763, 2215, 2000, 2562, 1037, 21628, 2006, 2115, 4845, 1005, 1055, 3450, 1012, 2065, 2017, 8343, 2115, 18591, 2003, 1037, 21910, 2121, 1010, 22624, 2006, 2068, 2064, 12210, 2115, 13579, 1012, 2036, 1010, 2017, 2089, 2215, 2000, 8645, 2006, 2115, 7904, 1005, 1055, 3450, 2043, 2478, 1996, 2147, 5733, 1012, 2005, 29221, 2003, 2115, 2553, 1010, 2292, 1005, 1055, 2131, 2318, 1998, 4553, 2129, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1012, 1011, 2112, 1015, 1024, 2129, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1011, 1015, 1012, 1015, 2224, 8645, 3669, 2595, 1516, 1996, 2190, 8645, 10439, 2000, 8645, 2006, 18059, 1011, 1015, 1012, 1016, 2224, 2424, 2026, 18059, 1516, 2489, 2126, 2000, 8645, 2006, 18059, 2007, 24582, 23743, 2094, 20786, 1011, 1015, 1012, 1017, 2224, 2424, 2026, 2767, 1516, 4522, 2126, 2000, 8645, 2006, 18059, 1011, 2112, 1016, 1024, 2182, 1005, 1055, 2054, 2000, 3602, 2055, 22624, 2006, 18059, 2302, 24582, 23743, 2094, 20786, 1011, 1016, 1012, 1015, 12637, 1011, 1016, 1012, 1016, 20502, 2015, 1011, 1016, 1012, 1017, 2339, 2323, 1045, 4468, 22624, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1029, 2112, 1015, 1024, 2129, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 2651, 1010, 1045, 2097, 8970, 2017, 2000, 1996, 2190, 18059, 8645, 10439, 2000, 2224, 2000, 6464, 1998, 4498, 8645, 2006, 2178, 18059, 1005, 1055, 3450, 19512, 1012, 1015, 1012, 1015, 2224, 8645, 3669, 2595, 1516, 1996, 2190, 8645, 10439, 2000, 8645, 2006, 3042, 2383, 7718, 1998, 18800, 2536, 8645, 18726, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1999, 1996, 3006, 1010, 3904, 3503, 2054, 8645, 3669, 2595, 4107, 1012, 8645, 3669, 2595, 2003, 1037, 8645, 10439, 2881, 2000, 2507, 2017, 20851, 2051, 1999, 6464, 1998, 6880, 22624, 2006, 2115, 4539, 18059, 7539, 1997, 2049, 2544, 2030, 2944, 1012, 2004, 1037, 4031, 1997, 1037, 16360, 23056, 2194, 1010, 8645, 3669, 2595, 2573, 2190, 1999, 3116, 2115, 3791, 1998, 4107, 2204, 22624, 2838, 2000, 2507, 2017, 2019, 3947, 3238, 2051, 2096, 22624, 2006, 18059, 2013, 1996, 7216, 1997, 2115, 3042, 1012, 2004, 1996, 2190, 8645, 10439, 1010, 8645, 3669, 2595, 3310, 24378, 2007, 2536, 15189, 2838, 2107, 2004, 1024, 1011, 3162, 2871, 1009, 2367, 2951, 4127, 1011, 3193, 2035, 7696, 1011, 3193, 7760, 1998, 6876, 1011, 2650, 3295, 2007, 8645, 3669, 2595, 1010, 2017, 2097, 2131, 2058, 2871, 1009, 2951, 4127, 2008, 2017, 2064, 8080, 1010, 2437, 2009, 1996, 2087, 4138, 1011, 2956, 8645, 10439, 1999, 1996, 3006, 1012, 2061, 1010, 3251, 2009, 1005, 1055, 2591, 2865, 1010, 2107, 2004, 2054, 3736, 9397, 1010, 11382, 2243, 1010, 16021, 23091, 1010, 10245, 7507, 2102, 1010, 2030, 2240, 1010, 7696, 1010, 10402, 1010, 4455, 1010, 2030, 2151, 2060, 2951, 2017, 2215, 2000, 8645, 2006, 1010, 8645, 3669, 2595, 2288, 2017, 3139, 1012, 2035, 1996, 7696, 2008, 2115, 4539, 2711, 2038, 1999, 2037, 1999, 8758, 2064, 2022, 11570, 2478, 8645, 3669, 2595, 1012, 2035, 1996, 2741, 1010, 2363, 1010, 4895, 5054, 2102, 1010, 1998, 17159, 7696, 2097, 2022, 21345, 2000, 2115, 8645, 3669, 2595, 24923, 2005, 2017, 2000, 8645, 2006, 18059, 6464, 1012, 2065, 2017, 2024, 22624, 2006, 2619, 1010, 2017, 2763, 2342, 2000, 3229, 2037, 3916, 1010, 2157, 1029, 15798, 1010, 8645, 3669, 2595, 2636, 2035, 1996, 2741, 1998, 2363, 7760, 1998, 6876, 1012, 9308, 1010, 2130, 1996, 17159, 7760, 2030, 6876, 2064, 2145, 2022, 11570, 1998, 5552, 2007, 2037, 2951, 1998, 2051, 1012, 4209, 1996, 3295, 1997, 1996, 18059, 2108, 11867, 6340, 2006, 2003, 14044, 1010, 2926, 2065, 2017, 2024, 1037, 6687, 8822, 2115, 4845, 1012, 8645, 3669, 2595, 4107, 2017, 1037, 14658, 3295, 9651, 3444, 2008, 3594, 1037, 8224, 4949, 2000, 4653, 1996, 6635, 3295, 1997, 2115, 4539, 18059, 1010, 2164, 2049, 3130, 4716, 2752, 1012, 1011, 3191, 2951, 19512, 1011, 9394, 1998, 3808, 1011, 2053, 7173, 23890, 2043, 22624, 2006, 18059, 1010, 6595, 5023, 2003, 1996, 2190, 2126, 2000, 6162, 2115, 22624, 11376, 1012, 2129, 2000, 20578, 2046, 2619, 1005, 1055, 24582, 23743, 2094, 4070, 2302, 2068, 4209, 1029, 2005, 6013, 1010, 2065, 2017, 2024, 22624, 2006, 1037, 16789, 18591, 1010, 6595, 6151, 12870, 10985, 11082, 2017, 4608, 2068, 2417, 1011, 4375, 1012, 2007, 2008, 1999, 2568, 1010, 8645, 3669, 2595, 2003, 2881, 2000, 5676, 2115, 4539, 2711, 2180, 1005, 1056, 2113, 2017, 2024, 22624, 2006, 2068, 1012, 1996, 2836, 1997, 2037, 18059, 2180, 1005, 1056, 2022, 5360, 1012, 2947, 1010, 2027, 2064, 1005, 1056, 8343, 2505, 1012, 2000, 8645, 2006, 2019, 18059, 1010, 8645, 3669, 2595, 5942, 2017, 2000, 2031, 1996, 24582, 23743, 2094, 22496, 1997, 2115, 4539, 1012, 2007, 1996, 22496, 1010, 2017, 2064, 2059, 2224, 2115, 3784, 8645, 3669, 2595, 4070, 2000, 8645, 2006, 2068, 19512, 2302, 8186, 11303, 2037, 3042, 1012, 2802, 1996, 22624, 2558, 1010, 2035, 2115, 2951, 1998, 2008, 1997, 2115, 4539, 2024, 2921, 3647, 1012, 2053, 2028, 1010, 2164, 1996, 8645, 3669, 2595, 2194, 1010, 2038, 3229, 2000, 2115, 2951, 1012, 2947, 1010, 2017, 3961, 3647, 1998, 5851, 2043, 2478, 8645, 3669, 2595, 1012, 1996, 2204, 2518, 2007, 8645, 3669, 2595, 2003, 2008, 1010, 4406, 2087, 8645, 18726, 1010, 2009, 2987, 1005, 1056, 5478, 2017, 2000, 7173, 23890, 2115, 4539, 18059, 1012, 2612, 1010, 2017, 2069, 2342, 2093, 3722, 16437, 6194, 1010, 1998, 2017, 2097, 6464, 8645, 2006, 18059, 1012, 8645, 3669, 2595, 2038, 2115, 2190, 3037, 2012, 2540, 1012, 2947, 1010, 2009, 1005, 1055, 2881, 2000, 3749, 2017, 2019, 3733, 2051, 8822, 2115, 4539, 18059, 1012, 2009, 3310, 2007, 1037, 5310, 1011, 5379, 24923, 2008, 8834, 2035, 1996, 3450, 1997, 1996, 18059, 2108, 17785, 1012, 3357, 1015, 1024, 3443, 2019, 4070, 11562, 1996, 1523, 3046, 2085, 1524, 6462, 1010, 2059, 2224, 2115, 10373, 8909, 2000, 3696, 2039, 2005, 1037, 8645, 3669, 2595, 4070, 1012, 3357, 1016, 1024, 2275, 2039, 8645, 3669, 2595, 5454, 16380, 2004, 2115, 4539, 1010, 2059, 10838, 2000, 9530, 8873, 27390, 2063, 8645, 3669, 2595, 1012, 3357, 1017, 1024, 2707, 22624, 2007, 8645, 3669, 2595, 16437, 1010, 8833, 1999, 2000, 2115, 8645, 3669, 2595, 4070, 1998, 2707, 22624, 2006, 2115, 4539, 18059, 2013, 1996, 24923, 1012, 1015, 1012, 1016, 2224, 2424, 2026, 18059, 1516, 2489, 2126, 2000, 8645, 2006, 18059, 2302, 24582, 23743, 2094, 20786, 2065, 2017, 2031, 3674, 6207, 5733, 1010, 2017, 2064, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 2013, 2593, 1997, 2115, 5733, 1012, 2035, 2017, 2342, 2000, 2079, 2003, 2000, 2224, 2028, 6207, 4070, 2000, 3696, 1999, 2006, 2068, 2035, 1012, 2000, 2224, 2424, 2026, 18059, 1010, 3582, 1996, 4084, 2917, 1012, 1011, 2006, 2035, 2115, 5733, 1010, 8816, 1996, 2424, 2026, 18059, 10439, 1012, 1011, 2224, 2115, 6207, 8909, 1998, 20786, 2000, 3696, 1999, 2006, 2035, 1996, 5733, 1012, 1011, 5676, 2027, 2024, 2035, 26351, 2098, 1012, 1011, 2000, 8645, 2006, 2019, 18059, 1010, 2224, 1996, 2424, 2026, 18059, 2006, 2151, 1997, 1996, 5733, 1012, 1011, 1037, 4949, 4760, 2049, 3295, 2097, 2022, 6913, 1012, 2017, 2064, 2036, 5843, 2009, 2030, 19512, 22505, 2009, 2065, 7376, 1012, 1011, 1996, 4118, 2003, 10350, 2800, 1012, 1011, 2115, 2951, 1998, 9394, 2024, 16316, 2004, 2017, 2224, 2115, 6207, 5733, 1012, 2053, 2353, 1011, 2283, 5906, 2024, 2920, 1012, 1011, 2017, 2064, 2069, 3193, 1037, 4949, 1997, 1996, 18059, 1005, 1055, 3295, 1012, 1011, 1996, 4118, 2003, 2025, 7218, 2005, 22624, 2006, 2619, 1005, 1055, 18059, 2004, 2017, 2442, 3696, 1999, 2478, 1996, 2168, 6207, 8909, 1998, 20786, 1012, 1011, 1999, 22624, 2006, 2178, 18059, 1010, 2017, 2064, 4089, 2022, 11156, 1012, 4102, 2007, 8645, 3669, 2595, 1011, 8645, 3669, 2595, 2573, 1999, 22150, 5549, 1010, 1998, 2017, 2064, 1005, 1056, 2022, 11156, 1010, 2437, 2009, 2062, 10539, 2084, 2424, 2026, 18059, 1012, 1011, 8645, 3669, 2595, 8834, 2062, 2084, 2074, 1996, 3295, 1997, 1996, 18059, 1012, 2009, 3229, 2229, 2058, 2871, 1009, 2951, 4127, 1012, 1011, 2017, 2031, 2000, 2031, 1996, 2424, 2026, 18059, 9124, 2006, 1996, 18059, 2000, 2022, 11867, 6340, 2006, 1010, 2021, 2007, 8645, 3669, 2595, 1010, 2017, 2074, 2342, 2037, 24582, 23743, 2094, 22496, 1010, 1998, 2017, 2097, 19512, 8645, 2006, 1996, 18059, 1012, 1015, 1012, 1017, 2224, 2424, 2026, 2767, 1516, 4522, 2126, 2000, 8645, 2006, 18059, 2005, 16380, 1023, 1998, 2682, 1010, 2027, 2272, 2007, 1996, 2424, 2026, 2814, 3653, 7076, 9080, 3709, 1012, 2017, 2064, 8816, 1996, 3444, 2000, 8645, 2006, 1037, 4539, 18059, 2005, 2060, 4617, 1010, 2059, 3582, 1996, 4084, 2917, 1012, 1011, 2330, 1996, 2424, 2026, 2814, 2006, 2115, 4539, 5080, 1010, 2707, 2011, 5815, 2814, 1010, 11562, 1996, 1523, 5587, 1012, 1524, 1011, 11562, 1996, 1523, 1009, 1524, 1998, 4607, 2115, 3967, 2000, 5587, 1010, 2059, 11562, 1523, 4604, 1012, 1524, 1011, 7276, 1996, 9367, 1997, 6631, 1996, 3295, 2007, 1996, 2794, 2814, 1012, 1011, 2006, 2115, 18059, 1010, 2017, 2097, 4374, 1996, 4207, 3295, 1997, 1996, 4539, 3042, 1012, 1011, 2017, 2064, 2059, 2224, 1996, 4207, 26828, 2000, 2650, 2037, 6635, 3295, 2058, 1996, 9367, 4217, 1012, 1011, 2017, 2064, 8645, 2006, 1996, 6635, 3295, 1997, 2115, 4539, 1012, 1011, 1996, 4118, 2003, 2489, 1010, 2007, 2053, 3465, 22667, 1012, 1011, 2017, 2031, 2000, 3229, 1996, 4539, 3042, 8186, 1012, 1011, 2017, 2064, 4089, 2022, 11156, 2043, 22624, 2006, 1996, 4539, 3042, 1012, 1011, 1996, 4118, 1997, 22624, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 2003, 2460, 1011, 2973, 1012, 4102, 2007, 8645, 3669, 2595, 1011, 8645, 3669, 2595, 4107, 2062, 2838, 2008, 2009, 2064, 8645, 2006, 1010, 2025, 2074, 1996, 3295, 1012, 1011, 8645, 3669, 2595, 2987, 1005, 1056, 5478, 2017, 2000, 3229, 2115, 4539, 18059, 8186, 1012, 1011, 1999, 3408, 1997, 2108, 11156, 1010, 8645, 3669, 2595, 4107, 2062, 22150, 1998, 21312, 2017, 2147, 1999, 1037, 5023, 5549, 1012, 2021, 2005, 2424, 2026, 2814, 1010, 2017, 2064, 4089, 2022, 3236, 1012, 2112, 1016, 1024, 2477, 2000, 3602, 2055, 22624, 2006, 18059, 2302, 24582, 23743, 2094, 20786, 2383, 1037, 2126, 2000, 8645, 2006, 12997, 8747, 2302, 6207, 8909, 1998, 20786, 3310, 1999, 18801, 1010, 1998, 2917, 2024, 2070, 1997, 2049, 12637, 1012, 1011, 18643, 2491, 1024, 2004, 1037, 6687, 1010, 2017, 2097, 2031, 1996, 2965, 2000, 4047, 2115, 2336, 2011, 2383, 3229, 2000, 2054, 2027, 11347, 2063, 1010, 3793, 1010, 3193, 1010, 1998, 2040, 2027, 2655, 1012, 9308, 1010, 2017, 2064, 4089, 2650, 2037, 3295, 1012, 1011, 7904, 8822, 1024, 1999, 2070, 16165, 2015, 1010, 2926, 2073, 8995, 2592, 2003, 2920, 1010, 22624, 2006, 7904, 1005, 1055, 2478, 1996, 2147, 5733, 7126, 28805, 1996, 3029, 1005, 1055, 3037, 1998, 2951, 1012, 1011, 4256, 8080, 1024, 2025, 2035, 5826, 2024, 11633, 1012, 2065, 2017, 2707, 2383, 13579, 2055, 2115, 4256, 1010, 2017, 2064, 4089, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1998, 2424, 2041, 1997, 2027, 2024, 16789, 2006, 2017, 1012, 1011, 2017, 2031, 2000, 5114, 3558, 3229, 2000, 1996, 4539, 3042, 2005, 2017, 2000, 2275, 2009, 2039, 2005, 22624, 1012, 1011, 2017, 3891, 2108, 3236, 2011, 2115, 4539, 2711, 1010, 2029, 10299, 1996, 2878, 7961, 1997, 22624, 2006, 2037, 18059, 1012, 1016, 1012, 1017, 2339, 2323, 1045, 4468, 22624, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1029, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 2003, 2025, 1996, 2190, 2126, 2000, 8645, 2006, 2019, 18059, 1010, 1998, 2182, 1005, 1055, 2339, 1024, 1011, 2115, 3042, 2064, 4297, 3126, 7173, 23890, 3314, 2076, 1996, 2832, 1012, 1011, 2115, 2951, 2003, 2012, 3891, 2043, 2478, 1037, 8645, 10439, 2008, 4447, 2000, 8645, 2006, 18059, 2302, 6207, 8909, 1998, 20786, 1012, 1011, 2017, 3891, 5307, 15451, 8059, 3314, 1998, 4053, 2043, 2478, 1996, 18726, 1010, 1011, 2115, 3042, 2064, 4089, 2022, 5299, 2091, 2076, 1996, 2832, 1012, 1996, 2190, 2126, 2000, 8645, 2006, 18059, 2003, 2000, 2224, 2049, 6207, 8909, 1998, 20786, 2004, 1037, 3627, 1997, 7639, 1012, 3568, 1010, 1045, 16755, 2478, 1996, 2190, 18059, 8645, 10439, 1010, 8645, 3669, 2595, 1010, 2000, 8645, 2006, 18059, 1012, 2112, 1017, 1024, 7091, 2129 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2017, 2064, 3404, 2256, 4989, 2005, 2250, 14744, 2121, 6090, 2005, 17428, 4391, 1012, 2138, 2057, 2031, 2499, 2524, 5702, 1998, 20253, 4805, 21486, 2575, 4391, 2005, 2250, 14744, 2121, 6090, 2005, 17428, 1998, 5790, 2068, 1012, 2009, 2001, 1037, 3697, 3105, 2000, 2862, 2069, 2702, 3688, 2005, 2250, 14744, 2121, 6090, 2005, 17428, 2073, 5190, 1997, 2068, 2800, 3784, 1012, 1045, 3246, 2009, 2097, 2393, 2017, 2000, 2202, 2345, 3247, 2005, 2190, 2250, 14744, 2121, 6090, 2005, 17428, 1012, 1064, 1015, 1064, 1064, 1018, 1011, 5308, 2250, 14744, 2121, 17428, 11197, 2015, 1064, 1064, 1023, 1012, 1022, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1016, 1064, 1064, 15203, 6967, 15594, 2121, 1011, 1016, 1011, 4109, 2512, 21354, 17428, 2250, 14744, 2121, 6090, 1013, 11851, 1004, 20437, 10810, 2275, 1011, 2250, 14744, 2121, 1999, 17428, 1011, 7812, 2005, 2413, 14744, 1011, 7708, 2833, 1064, 1064, 1023, 1012, 1018, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1017, 1064, 1064, 22814, 3886, 1010, 1016, 3538, 2512, 21354, 6967, 15594, 2121, 11851, 1998, 10810, 1064, 1064, 1023, 1012, 1016, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1018, 1064, 1064, 10026, 13433, 5302, 7983, 2080, 6967, 15594, 2121, 11851, 1064, 1064, 1023, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1019, 1064, 1064, 12731, 17417, 11802, 2102, 2572, 2497, 1011, 2000, 9818, 2015, 15174, 2121, 17428, 21522, 6090, 1064, 1064, 1023, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1020, 1064, 1064, 7987, 21187, 8945, 2615, 20842, 2692, 5910, 2015, 6047, 17428, 2250, 14744, 2121, 1064, 1064, 1022, 1012, 1022, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1021, 1064, 1064, 13649, 16283, 17428, 15594, 21522, 11851, 1064, 1064, 1022, 1012, 1020, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1022, 1064, 1064, 18437, 19909, 1016, 1011, 3538, 2512, 1011, 6293, 8670, 3489, 8059, 2275, 2005, 17428, 2007, 15594, 2121, 6090, 1998, 17387, 7123, 1064, 1064, 1022, 1012, 1020, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 1023, 1064, 1064, 4638, 6850, 10026, 21522, 7123, 2007, 7318, 14513, 2275, 2410, 1000, 1060, 2324, 1000, 1011, 2309, 2275, 1059, 1013, 2431, 7123, 6090, 1004, 18676, 3886, 17428, 14513, 2005, 8434, 1064, 1064, 1022, 1012, 1020, 1064, 1064, 4965, 2006, 9733, 1064, 1064, 2184, 1064, 1064, 13649, 16283, 4469, 2312, 17428, 15594, 2075, 21522, 11851, 1064, 1064, 1022, 1012, 1018, 1064, 1064, 4965, 2006, 9733, 1064, 2184, 2190, 2250, 14744, 2121, 6090, 2005, 17428, 4391, 4805, 21486, 2575, 2193, 1997, 5310, 4391, 2020, 2800, 3784, 1010, 2029, 2057, 11728, 2000, 2424, 1996, 2250, 14744, 2121, 6090, 2005, 17428, 1012, 11504, 1010, 2256, 8519, 15690, 2800, 1999, 2023, 3720, 2097, 2393, 2017, 2424, 2115, 7812, 3601, 1012, 1015, 1012, 1018, 1011, 5308, 2250, 14744, 2121, 17428, 11197, 2015, 1011, 2196, 4550, 1996, 3953, 1997, 2115, 17428, 2153, 2004, 2256, 17428, 11197, 18227, 2115, 14104, 11867, 10790, 2487, 2833, 2072, 2250, 14744, 17428, 2013, 26077, 1011, 15849, 1010, 27304, 2015, 1004, 14437, 2015, 1012, 1011, 3647, 2006, 2070, 17428, 8158, 1004, 2104, 10808, 3787, 2004, 2256, 17428, 16167, 2015, 2024, 2531, 1003, 3684, 13070, 1010, 3647, 2039, 2000, 11212, 7737, 2278, 1013, 3156, 7737, 2546, 1010, 2027, 2064, 2022, 2872, 3622, 2006, 2115, 14104, 2250, 14744, 2121, 16247, 3953, 1012, 1011, 3313, 4317, 3694, 14983, 2250, 14744, 2121, 13523, 1010, 2256, 17428, 11197, 2015, 2024, 2382, 1003, 11907, 2084, 2035, 2060, 17428, 11197, 2015, 1010, 2029, 2965, 2009, 2097, 2041, 8523, 2102, 3151, 11197, 2015, 1004, 2180, 1521, 1056, 14899, 1012, 1011, 3647, 3367, 2005, 1996, 2155, 1010, 2531, 1003, 7378, 1052, 14876, 2050, 1010, 17531, 2050, 2489, 1516, 2012, 2115, 15716, 3829, 2057, 5676, 2256, 16359, 2003, 7718, 1012, 1011, 2256, 4872, 2000, 2017, 1516, 2950, 1018, 2312, 8915, 10258, 2239, 11197, 2015, 2382, 27487, 1006, 2260, 1524, 1007, 1060, 2382, 27487, 1006, 2260, 1524, 1007, 1004, 2256, 2531, 1003, 9967, 2578, 1012, 1016, 1012, 15203, 6967, 15594, 2121, 1516, 1016, 1011, 4109, 2512, 21354, 17428, 2250, 14744, 2121, 6090, 1013, 11851, 1004, 20437, 10810, 2275, 1516, 2250, 14744, 2121, 1999, 17428, 1516, 7812, 2005, 2413, 14744, 1516, 7708, 2833, 1011, 3737, 2682, 2035, 1516, 6428, 2084, 2412, 1516, 2256, 2047, 7661, 2152, 1011, 3737, 2512, 21354, 6351, 3886, 11851, 2250, 14744, 2121, 1999, 17428, 6967, 15594, 2121, 2275, 2881, 2423, 1003, 19638, 1010, 2061, 2009, 2003, 6428, 2084, 2500, 2006, 1996, 3006, 999, 18676, 3886, 20437, 10810, 2844, 1998, 15026, 2007, 14692, 2191, 1996, 11851, 1998, 10810, 3233, 2041, 1010, 2512, 21354, 1010, 3684, 18030, 1998, 17640, 1012, 1011, 2740, 3771, 4522, 1010, 2053, 2030, 2625, 3514, 1013, 12136, 2734, 1012, 1011, 3828, 2115, 2051, 1998, 15876, 4757, 2571, 1010, 2007, 1059, 25619, 6967, 15594, 2121, 17428, 2250, 14744, 2121, 6090, 2275, 1010, 2017, 2180, 1521, 1056, 2342, 18497, 2030, 3810, 2115, 2833, 2096, 8434, 1012, 1011, 4965, 2007, 7023, 1024, 2256, 2194, 2003, 13459, 2055, 9229, 2115, 3737, 1997, 2166, 1012, 1011, 2307, 5592, 2005, 2035, 6686, 1516, 2057, 3073, 1037, 2531, 1003, 3891, 1011, 2489, 5309, 2000, 5676, 2008, 2256, 6304, 2113, 2027, 1521, 2128, 9343, 1996, 2190, 1012, 1017, 1012, 22814, 3886, 1010, 1016, 3538, 2512, 21354, 6967, 15594, 2121, 11851, 1998, 10810, 1011, 15594, 2121, 11851, 1516, 1996, 22814, 3886, 1016, 3538, 15594, 2121, 11851, 1998, 10810, 2003, 1996, 6208, 2250, 14744, 2075, 11851, 2008, 2017, 2064, 2224, 1999, 2115, 17428, 1012, 1011, 22814, 3886, 5660, 8059, 1516, 2007, 2058, 2382, 2454, 3407, 6304, 1010, 22814, 3886, 2038, 4329, 3550, 26051, 2408, 1996, 2088, 2007, 1996, 4955, 1997, 1996, 2512, 21354, 14692, 6967, 5660, 8059, 999, 2047, 2005, 25682, 1010, 2256, 14744, 2075, 6090, 2015, 2031, 5301, 1999, 2296, 2181, 2164, 1996, 2512, 21354, 18898, 1010, 2994, 4658, 16024, 1010, 8829, 3926, 1998, 4241, 2527, 8553, 1010, 2164, 1999, 25608, 2075, 6323, 1011, 2066, 9309, 2000, 1996, 3302, 2000, 5676, 1996, 6090, 2987, 1521, 1056, 11969, 999, 5959, 1998, 6160, 2000, 1996, 22814, 3886, 2155, 1012, 1011, 7209, 14692, 2512, 21354, 1516, 1996, 22814, 3886, 2512, 21354, 8434, 3302, 2003, 15026, 2093, 2335, 1998, 2059, 11013, 2007, 11719, 2000, 8116, 1996, 7209, 2833, 2713, 1012, 1011, 7965, 1004, 2512, 1011, 11704, 1516, 1996, 22814, 3886, 14841, 1011, 8292, 14672, 18898, 2003, 2489, 1997, 1052, 14876, 2050, 1010, 1052, 14876, 2015, 1010, 2599, 1004, 28353, 27759, 2005, 1037, 7965, 1998, 3647, 3325, 2154, 1999, 1998, 2041, 1012, 1011, 3947, 3238, 27686, 1010, 9841, 28556, 2121, 3647, 1516, 5247, 2625, 2051, 2007, 27686, 999, 2044, 2035, 1996, 8434, 1998, 17463, 4691, 2003, 2589, 1010, 2173, 1999, 1996, 9841, 28556, 2121, 2005, 4248, 1998, 3733, 27686, 1012, 1011, 17428, 3647, 1516, 11892, 2007, 2035, 17428, 2015, 1998, 2064, 5047, 2039, 2000, 3156, 5445, 1011, 2130, 3684, 4353, 1516, 1996, 13061, 5512, 1998, 20437, 10810, 21312, 1996, 23849, 3684, 6561, 2035, 2752, 1997, 1996, 2833, 1998, 3640, 2307, 3463, 1012, 1011, 2184, 2095, 11302, 1516, 2256, 5660, 8059, 2003, 2328, 2005, 2086, 1997, 2224, 1998, 6153, 2011, 1037, 2184, 1011, 2095, 3132, 11302, 1012, 1018, 1012, 10026, 13433, 5302, 7983, 2080, 6967, 15594, 2121, 11851, 1011, 2250, 14744, 1999, 2115, 17428, 1012, 1011, 6669, 5660, 3143, 12278, 1999, 2028, 6090, 1012, 1011, 8056, 1011, 2489, 14744, 2075, 1012, 1011, 2307, 2005, 1996, 18651, 1012, 1011, 8434, 11038, 1012, 1019, 1012, 12731, 17417, 11802, 2102, 2572, 2497, 1011, 2000, 9818, 2015, 15174, 2121, 17428, 21522, 6090, 1011, 3082, 7633, 2632, 10179, 10020, 5422, 3886, 2810, 2005, 2130, 10808, 1011, 2512, 1011, 6293, 4592, 1998, 8829, 2005, 3733, 2713, 1998, 27686, 1011, 8875, 9812, 1024, 2340, 1012, 1016, 1532, 1006, 1048, 1007, 1060, 2184, 1012, 1021, 1532, 1006, 1059, 1007, 1060, 1014, 1012, 1022, 1532, 1006, 1044, 1007, 1011, 9841, 28556, 2121, 3647, 1020, 1012, 7987, 21187, 8945, 2615, 20842, 2692, 5910, 2015, 6047, 17428, 2250, 14744, 2121, 1011, 1996, 7987, 21187, 6047, 17428, 2250, 14744, 2121, 2007, 5783, 26264, 2291, 18058, 2327, 2836, 1998, 18601, 18724, 4352, 2017, 2000, 2250, 14744, 1998, 5454, 2013, 2340, 8434, 4972, 1025, 2224, 3565, 23849, 2000, 5547, 8434, 2051, 2011, 2039, 2000, 2382, 1003, 1998, 8116, 15594, 2100, 2250, 13017, 9440, 1012, 1011, 5783, 26264, 2291, 1024, 2478, 1019, 2981, 20971, 3787, 1010, 6047, 13792, 20634, 2373, 2000, 2073, 1998, 2043, 2009, 1521, 1055, 2734, 2000, 3443, 1996, 7812, 8434, 4044, 1025, 13851, 1998, 3617, 14255, 2094, 4860, 2491, 11027, 2015, 3147, 7516, 2005, 10480, 1998, 2130, 8434, 1012, 1011, 4056, 2250, 14744, 4292, 1024, 1996, 6047, 17428, 2250, 14744, 2121, 2064, 2735, 2041, 8056, 2489, 2413, 22201, 1010, 7975, 4777, 1998, 2061, 2172, 2062, 1025, 3020, 7715, 4117, 2007, 3565, 23849, 1006, 25845, 2094, 2250, 4834, 1007, 8116, 12090, 1010, 15594, 2100, 3585, 2250, 13017, 9440, 1012, 1011, 3565, 23849, 2974, 1024, 23849, 2064, 5547, 8434, 2051, 2011, 2039, 2000, 2382, 1003, 1025, 2009, 10898, 1996, 8434, 2832, 2011, 6274, 1996, 22302, 2250, 1998, 10186, 21399, 2625, 9742, 2250, 2005, 19059, 10808, 1012, 1011, 2340, 8434, 4972, 1024, 3565, 22979, 4675, 14399, 17428, 1998, 2250, 14744, 2121, 2007, 2340, 8434, 4972, 2000, 5009, 2017, 2000, 15401, 1024, 15174, 1010, 4524, 2884, 1010, 22953, 4014, 1010, 8670, 3489, 1010, 25043, 1010, 4010, 1010, 10733, 1010, 2250, 14744, 1010, 2128, 20192, 2102, 1010, 16324, 1998, 4030, 5660, 1012, 1011, 2312, 3977, 1024, 2312, 2324, 1012, 1011, 4592, 17428, 2422, 1024, 6377, 17428, 2422, 8073, 4332, 2006, 2012, 1996, 2203, 1997, 1996, 8434, 5402, 2000, 2393, 2017, 2156, 2503, 1025, 2009, 2019, 2022, 2357, 2006, 2012, 2151, 2051, 2000, 2156, 2115, 5082, 1025, 5672, 3085, 6922, 2854, 2066, 2115, 3180, 2312, 17428, 1012, 1011, 27662, 4653, 1024, 27662, 4653, 2000, 4089, 3229, 1996, 2328, 1999, 6047, 15380, 1010, 5454, 2013, 2340, 6047, 8434, 4972, 1025, 1996, 27662, 2036, 7127, 2043, 3653, 1011, 3684, 2038, 2949, 1998, 8073, 4269, 2000, 4175, 2091, 2006, 1996, 8434, 2051, 2005, 3819, 3463, 1012, 1011, 2443, 16611, 1024, 2250, 14744, 10810, 1025, 29484, 25043, 2075, 6090, 1025, 2410, 4960, 2512, 1011, 6293, 10733, 6090, 1025, 7318, 14513, 1998, 22953, 16281, 14513, 1012, 1011, 10943, 2100, 1024, 1016, 2095, 3132, 4031, 10943, 2100, 1025, 2373, 1024, 9807, 11042, 1025, 10004, 1024, 6036, 5285, 3215, 1021, 1012, 13649, 16283, 17428, 15594, 21522, 11851, 1011, 2307, 2005, 2437, 11611, 1010, 12181, 2100, 1010, 9550, 10962, 1010, 15594, 22201, 1010, 2310, 13871, 3111, 1998, 2062, 1011, 11269, 14309, 2015, 2030, 1037, 2740, 3771, 5724, 1998, 2980, 2250, 25022, 11890, 18969, 7650, 2061, 2045, 1521, 1055, 2053, 2342, 2005, 3810, 1012, 1011, 2719, 13061, 6090, 2007, 2512, 21354, 15026, 3886, 14513, 1011, 3733, 4550, 2039, 1010, 2192, 9378, 2069, 1011, 2081, 1999, 1996, 3915, 2007, 14513, 2013, 2859, 1022, 1012, 18437, 19909, 1016, 1011, 3538, 2512, 1011, 6293, 8670, 3489, 8059, 2275, 2005, 17428, 2007, 15594, 2121, 6090, 1998, 17387, 7123, 1011, 2950, 1024, 1016, 1011, 3538, 18437, 19909, 15594, 2121, 2275, 1516, 2410, 1060, 1023, 1011, 4960, 2512, 21354, 17387, 7123, 2007, 2260, 1060, 1023, 1011, 4960, 8319, 2512, 1011, 6293, 15594, 2121, 10810, 1012, 1011, 17428, 3647, 2000, 4464, 2475, 7737, 2546, 1012, 1011, 18676, 3886, 2007, 2512, 1011, 6293, 18898, 4646, 1011, 3733, 1998, 25634, 6218, 2810, 1011, 1016, 1011, 2095, 10943, 2100, 1024, 2057, 18067, 3233, 2369, 2256, 3688, 1998, 2578, 999, 1023, 1012, 4638, 6850, 10026, 21522, 7123, 2007, 7318, 14513, 2275, 2410, 1532, 1060, 2324, 1532, 1516, 2309, 2275, 1059, 1013, 2431, 7123, 6090, 1004, 18676, 3886, 17428, 14513, 2005, 8434, 1011, 3143, 2275, 1024, 1996, 3819, 25025, 2005, 8434, 2003, 2182, 1012, 1011, 3737, 21522, 14513, 1024, 2023, 18676, 3886, 7123, 6090, 14513, 2003, 2881, 2005, 2296, 3663, 1516, 3251, 2017, 1521, 2128, 5128, 2009, 2006, 1996, 17428, 2030, 11520, 2091, 2070, 16324, 1012, 1011, 23073, 6090, 1024, 2360, 9119, 2000, 11060, 24196, 1012, 1011, 2307, 2640, 1024, 2256, 2312, 21522, 14513, 1998, 7123, 6090, 2015, 2005, 8434, 2024, 2881, 2000, 2147, 6669, 2362, 1998, 21688, 2135, 4237, 1012, 1011, 3733, 9344, 1024, 2256, 18676, 3886, 7318, 21522, 14513, 2003, 3698, 9378, 3085, 2000, 2507, 2017, 2062, 2051, 2058, 1996, 16247, 1998, 2625, 2051, 2058, 1996, 7752, 999, 1012, 2184, 1012, 13649, 16283, 4469, 2312, 17428, 15594, 2075, 21522, 11851, 1011, 6090, 2081, 1997, 13061, 2007, 6351, 3886, 14513, 1011, 3684, 3647, 2039, 2000, 4278, 5445, 1011, 6090, 2081, 1999, 1996, 3915, 1010, 14513, 2081, 1999, 2859, 1011, 2192, 9378, 2007, 4010, 1010, 7815, 2100, 2300, 1012, 3668, 22721, 2003, 2025, 6749, 1012, 1011, 2322, 1532, 1060, 2321, 1012, 5989, 1532, 1060, 1016, 1012, 2539, 1532, 9646, 2250 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2079, 2017, 2113, 2054, 2024, 2067, 13767, 2015, 1998, 2129, 2027, 7461, 2115, 27457, 1998, 9927, 3945, 5464, 1029, 2067, 13767, 2015, 1999, 3617, 5821, 2024, 2028, 1997, 1996, 3145, 5464, 5876, 1999, 3945, 5209, 1012, 2067, 13767, 2015, 2064, 2022, 2245, 1997, 2004, 4494, 2013, 2060, 4573, 2008, 5769, 2008, 2115, 2609, 3397, 3737, 4180, 1010, 2877, 2000, 3445, 10385, 1998, 3445, 4037, 4026, 1012, 2045, 2024, 2048, 2364, 4127, 1997, 2067, 13767, 2015, 2017, 2323, 3579, 2006, 2043, 2009, 3310, 2000, 27457, 1024, 2079, 1011, 3582, 1998, 2053, 1011, 3582, 2067, 13767, 2015, 1012, 2182, 1521, 1055, 2054, 2017, 2342, 2000, 2113, 2055, 2169, 2828, 1997, 2067, 13767, 1012, 2054, 2024, 2067, 13767, 2015, 1029, 2019, 4955, 2079, 2017, 2113, 2054, 2003, 1037, 2067, 13767, 1999, 27457, 1029, 1037, 2067, 13767, 2003, 1037, 4957, 2006, 2178, 4037, 2008, 2003, 5799, 2000, 2028, 1997, 2115, 4773, 5530, 1012, 2009, 1521, 1055, 2025, 2004, 3722, 2004, 2009, 4165, 1010, 2295, 1517, 1996, 2157, 2785, 1997, 2067, 13767, 2097, 6336, 2017, 3020, 1999, 3945, 3194, 10385, 1010, 2096, 2919, 6971, 1006, 2926, 22537, 3924, 1007, 2064, 8949, 4254, 2115, 3945, 3194, 16476, 1012, 2009, 1521, 1055, 2590, 2000, 2131, 2070, 2152, 1011, 3737, 6971, 2000, 2115, 4037, 1010, 2138, 1997, 2037, 5464, 6666, 1012, 8224, 1998, 2060, 3945, 5209, 2066, 17620, 1010, 20643, 10377, 4573, 2007, 2204, 6971, 2013, 2060, 3737, 4573, 2011, 4852, 2037, 5464, 1999, 3945, 3463, 1012, 2045, 2024, 2116, 4127, 1997, 2152, 1011, 3737, 2067, 13767, 2015, 1024, 8368, 6971, 1010, 3687, 2865, 6325, 1010, 2591, 2865, 6661, 1010, 1998, 2062, 1012, 2017, 2215, 2035, 1997, 2122, 2006, 2115, 2609, 999, 1999, 27457, 1010, 1037, 2079, 1011, 3582, 4957, 2003, 1037, 23760, 13767, 2008, 2064, 2022, 2628, 2011, 2119, 4286, 1998, 3945, 3194, 13529, 2545, 1006, 14160, 1007, 1012, 2107, 1037, 4957, 2003, 1037, 3582, 4957, 2004, 4941, 2000, 2074, 2019, 6623, 23760, 13767, 2008, 2515, 2025, 3413, 3931, 26763, 2030, 2060, 4037, 4577, 5300, 2005, 5464, 3643, 1012, 1996, 2193, 1997, 2079, 1011, 3582, 6971, 7302, 2000, 1037, 3931, 3495, 13531, 2049, 5464, 1999, 3945, 3194, 3463, 5530, 1006, 14262, 4523, 1007, 1012, 6971, 2013, 3811, 23949, 13100, 2024, 9480, 2062, 2084, 2500, 2011, 8224, 1010, 2061, 2383, 2062, 2107, 2067, 13767, 2015, 2003, 15189, 1012, 2079, 1011, 3582, 6971, 2064, 2036, 2393, 12992, 1996, 3452, 3931, 26763, 1998, 3691, 1997, 2115, 4037, 1012, 4957, 2311, 2003, 2019, 2590, 2112, 1997, 3945, 3194, 20600, 1006, 27457, 1007, 1998, 3945, 3194, 5821, 1006, 7367, 2213, 1007, 1012, 2067, 13767, 2015, 2064, 2022, 1997, 2367, 4127, 1010, 2169, 8020, 11543, 2000, 27457, 3112, 1012, 1996, 2828, 1997, 6971, 2017, 2342, 2005, 3737, 3945, 3194, 5464, 9041, 2006, 2029, 2609, 5530, 2017, 1521, 2128, 14126, 1012, 2004, 1037, 2047, 10670, 1010, 2017, 1521, 2128, 5391, 2000, 2963, 2067, 13767, 2015, 2272, 2039, 1999, 11450, 1012, 1999, 2755, 1010, 2065, 2017, 2448, 1037, 3945, 2005, 2151, 3784, 2449, 1011, 3141, 21415, 1010, 2017, 1521, 2222, 2424, 2019, 9140, 1997, 7832, 8800, 2000, 2067, 13767, 2015, 1012, 2061, 1010, 2054, 2003, 1037, 2067, 13767, 1029, 1999, 3722, 3408, 1010, 2009, 2003, 2151, 4957, 2008, 8539, 2028, 4773, 3931, 1006, 2030, 4037, 1007, 2000, 2178, 1012, 2067, 13767, 2015, 2064, 2022, 2593, 4722, 2030, 6327, 6971, 1012, 2019, 6327, 4957, 2003, 1037, 4957, 2008, 8539, 1037, 2367, 4037, 2000, 6737, 1012, 2027, 2064, 2272, 1999, 2195, 2367, 3596, 1010, 2007, 23760, 13767, 2015, 2108, 3383, 1996, 2087, 2691, 2828, 1997, 6327, 4957, 1012, 6971, 2064, 2022, 2872, 2306, 4773, 5530, 1010, 1999, 7928, 2006, 2591, 2865, 4573, 2066, 5799, 2378, 2030, 10474, 1010, 1999, 7057, 11744, 2066, 22035, 2527, 1010, 2417, 23194, 1010, 1998, 6974, 1012, 2065, 1037, 4037, 3594, 2115, 4871, 2030, 6876, 2006, 2049, 4037, 1010, 2059, 2009, 2097, 2552, 2004, 2019, 6327, 4957, 2005, 2008, 4037, 1012, 2182, 1010, 2017, 2097, 2131, 1037, 2067, 13767, 2013, 2008, 2609, 1012, 2019, 4722, 4957, 2003, 1037, 4957, 2006, 2028, 4773, 3931, 1997, 1037, 4037, 2008, 6971, 2000, 2178, 4773, 3931, 2006, 1996, 2168, 4037, 1012, 2009, 1521, 1055, 2019, 2590, 7814, 1997, 3945, 3194, 20600, 2138, 2065, 2017, 2123, 1521, 1056, 2031, 2012, 2560, 2070, 4722, 6971, 1010, 2059, 3945, 5209, 2180, 1521, 1056, 2022, 2583, 2000, 5950, 2035, 1997, 2115, 5530, 1012, 2065, 8224, 2030, 2178, 3945, 3194, 2064, 1521, 1056, 2156, 2296, 2309, 3931, 1010, 2009, 1521, 2222, 2224, 2019, 9896, 2000, 5630, 2029, 3924, 2024, 2087, 2590, 1012, 2008, 2071, 3480, 4026, 2013, 8224, 3452, 1012, 2045, 2003, 2053, 3563, 3627, 2005, 2129, 2116, 4722, 6971, 1037, 3931, 2342, 1012, 2009, 1521, 1055, 2062, 2055, 21923, 2084, 11712, 1012, 1037, 3931, 2008, 7566, 2055, 27457, 2071, 2224, 2019, 4722, 4957, 2000, 1037, 3145, 18351, 2470, 5009, 2004, 2146, 2004, 2009, 3849, 7882, 1998, 2025, 12403, 18879, 1012, 1996, 2190, 2126, 2000, 2424, 4722, 6971, 2003, 2011, 2559, 2012, 2054, 2111, 2525, 2079, 2006, 2115, 2609, 1012, 2065, 1037, 2843, 1997, 5198, 2203, 2039, 22042, 2083, 2006, 3056, 6971, 1010, 2059, 2017, 1521, 2128, 3585, 1012, 2065, 2008, 1521, 1055, 2025, 2551, 2005, 2017, 1010, 3046, 4531, 2070, 5530, 2007, 1037, 2843, 1997, 1999, 15494, 4026, 1010, 2059, 4638, 2029, 5530, 2031, 6971, 2000, 2068, 2013, 2060, 4573, 1012, 2065, 2053, 2028, 2038, 2589, 2009, 2059, 1010, 2009, 2453, 2022, 2019, 4495, 2005, 2019, 4722, 4957, 1012, 2023, 6028, 2003, 2170, 6975, 4454, 1012, 2060, 4127, 1997, 2067, 13767, 2015, 2182, 2024, 2070, 2067, 13767, 2015, 4973, 2008, 2017, 2442, 2113, 1024, 1516, 1011, 8368, 2067, 13767, 2015, 1011, 4113, 9927, 4726, 2067, 13767, 2015, 1011, 2489, 1011, 6994, 2067, 13767, 2015, 1011, 2067, 13767, 2015, 1999, 2449, 17879, 1011, 4113, 2695, 16012, 2067, 13767, 2015, 1011, 10780, 2067, 13767, 2015, 1011, 7615, 2067, 13767, 2015, 2054, 2003, 4957, 2311, 2030, 2129, 2000, 3443, 2067, 13767, 2015, 1029, 4957, 2311, 2003, 1037, 8050, 2112, 1997, 3945, 3194, 20600, 1006, 27457, 1007, 1012, 3945, 5209, 2066, 8224, 1010, 17620, 7868, 3056, 4127, 1997, 11744, 2024, 2062, 7070, 2084, 2500, 1012, 2028, 2126, 2000, 6162, 1037, 3020, 4635, 1999, 8224, 2003, 2011, 2383, 2116, 11647, 1010, 7882, 6971, 2013, 9480, 4216, 1012, 2023, 21009, 2017, 2004, 2019, 3691, 2006, 2115, 18111, 1010, 2029, 3463, 1999, 3020, 10385, 2005, 2673, 2006, 2115, 4037, 1012, 2067, 13767, 2015, 2036, 2393, 3298, 2070, 7882, 4026, 2000, 2115, 2609, 2013, 2060, 4573, 2008, 4957, 2000, 2017, 1012, 2009, 2036, 7126, 3362, 1037, 7289, 4378, 2083, 2060, 11744, 1012, 6666, 1997, 4957, 2311, 1996, 2350, 5770, 1997, 4957, 2311, 2003, 2008, 2009, 7126, 3623, 3931, 4635, 1012, 2028, 1997, 1996, 3145, 6666, 1997, 2383, 2067, 13767, 2015, 2003, 1996, 3754, 2000, 3623, 4026, 2000, 1037, 4037, 1012, 2043, 2017, 2131, 1037, 2067, 13767, 2013, 2178, 2609, 1010, 2017, 1521, 2128, 7687, 6016, 1037, 3945, 3194, 4742, 2008, 2758, 1010, 4931, 8224, 999, 2023, 2609, 2003, 7882, 2000, 2256, 3145, 18351, 7655, 1012, 4638, 2009, 2041, 999, 2065, 5198, 2066, 2054, 2027, 2156, 2006, 2008, 3931, 1010, 2059, 2027, 1521, 2222, 2175, 4638, 2041, 2060, 5530, 2006, 2115, 2609, 2004, 2092, 1012, 2383, 3737, 1010, 7882, 6971, 2000, 2115, 2609, 2064, 2036, 2599, 2000, 3445, 4341, 1012, 2028, 3114, 2005, 2008, 2003, 2008, 3945, 5209, 2224, 11562, 1011, 2083, 6165, 1006, 14931, 2099, 1007, 2004, 1037, 5387, 1999, 12515, 10385, 1012, 2065, 5198, 4703, 11562, 2006, 6971, 2877, 2000, 5530, 2306, 2115, 2609, 1010, 2059, 2017, 2031, 1037, 3020, 16593, 1997, 6037, 2012, 1996, 2327, 1997, 3945, 3463, 3141, 2000, 3145, 22104, 7882, 2000, 2216, 5530, 1012, 2065, 2111, 2066, 2054, 2027, 2156, 2006, 2216, 5530, 1010, 2059, 2027, 1521, 2222, 2022, 2062, 3497, 2000, 2191, 1037, 5309, 999, 2178, 5770, 1997, 4957, 2311, 1006, 5197, 1997, 2067, 13767, 2015, 1007, 2003, 2008, 2009, 2064, 2507, 2115, 2609, 1037, 5891, 2005, 2108, 2152, 3737, 1012, 2008, 1521, 1055, 2138, 8224, 3594, 1037, 3528, 1997, 5876, 1999, 12515, 10385, 1010, 2164, 3404, 7755, 1012, 2005, 2742, 1010, 2065, 2178, 4037, 6971, 2000, 6737, 1010, 8224, 2453, 16519, 2008, 2017, 1521, 2128, 2019, 3691, 2006, 2008, 3395, 1998, 4635, 2017, 11914, 1012, 2065, 2017, 2031, 7167, 1997, 7882, 6971, 2746, 2046, 2115, 2609, 1010, 2059, 3945, 5209, 2097, 3497, 3193, 2009, 2004, 2062, 3404, 13966, 1012, 1996, 2060, 5056, 1997, 2383, 7167, 1997, 2204, 6971, 7302, 2012, 2115, 2609, 2003, 2008, 2216, 6971, 2064, 2552, 2004, 2591, 6947, 1024, 5198, 2123, 1521, 1056, 2113, 2017, 2030, 2031, 2151, 3114, 2000, 2903, 2017, 10107, 2000, 2022, 4396, 3811, 1012, 2021, 2043, 2027, 2156, 2060, 11744, 29536, 15217, 3070, 2005, 2017, 2011, 11383, 2000, 2115, 4180, 1010, 2027, 1521, 2222, 7868, 2045, 2442, 2022, 2242, 7070, 2006, 2115, 2609, 4276, 9361, 2041, 999, 1996, 3953, 2240, 1024, 2204, 3737, 2067, 13767, 2015, 2393, 8054, 3945, 5209, 2066, 8224, 1010, 17620, 2008, 5530, 2306, 2115, 4037, 2024, 23411, 1998, 7882, 999, 2008, 2003, 2339, 2017, 2323, 2467, 3046, 2000, 2131, 2062, 2067, 13767, 2015, 1006, 2152, 1011, 3737, 1007, 2000, 3623, 2115, 4037, 3691, 2004, 2092, 2004, 3945, 5464, 1012, 2129, 2000, 2424, 2152, 1011, 3737, 6971, 4526, 2067, 13767, 2015, 2000, 2115, 4037, 2003, 1037, 2204, 2126, 2000, 9958, 7554, 3945, 4026, 1012, 2021, 1010, 2065, 2017, 2123, 1521, 1056, 2031, 2152, 1011, 3737, 6971, 7302, 2000, 2115, 4037, 1010, 2009, 2071, 2031, 1037, 4997, 4254, 2006, 2115, 2609, 1012, 2045, 2024, 2195, 2060, 5876, 2008, 2004, 17119, 18249, 1037, 2067, 13767, 1521, 1055, 3452, 3737, 1010, 2164, 2049, 6217, 1010, 2287, 1010, 1998, 4180, 21923, 1012, 2017, 2323, 3579, 2006, 7414, 6971, 2013, 11744, 2007, 3691, 1999, 2037, 7972, 18111, 2015, 1012, 2023, 2097, 5676, 2017, 2131, 2019, 18050, 1997, 9416, 4026, 2005, 2086, 2000, 2272, 1012, 1996, 25551, 2126, 2000, 5646, 1037, 4957, 1521, 1055, 3737, 2003, 2011, 20253, 2049, 3120, 1012, 3691, 2064, 2022, 7594, 1999, 2048, 3971, 1024, 3931, 26763, 1998, 5884, 3691, 1012, 3931, 26763, 5218, 2000, 8224, 1521, 1055, 12046, 2005, 5790, 3931, 3737, 1010, 2007, 1037, 3556, 1997, 1015, 1516, 2184, 1012, 5884, 3691, 5761, 2019, 2972, 4037, 1521, 1055, 4276, 1010, 2007, 7644, 7478, 2013, 1014, 1516, 2531, 1012, 1996, 3020, 2122, 3616, 1010, 1996, 2488, 9592, 2017, 2031, 1997, 4909, 2152, 1011, 3737, 6971, 2008, 2097, 5335, 2115, 2609, 1521, 1055, 3945, 5464, 1012, 2045, 2024, 2195, 5906, 1006, 2067, 13767, 4638, 2121, 1007, 2800, 2005, 9361, 2119, 12046, 2015, 1012, 2048, 2759, 3924, 2421, 9587, 2480, 2330, 2609, 10566, 1998, 22337, 3366, 2080, 1012, 2017, 2064, 2036, 2224, 5906, 2066, 7367, 2213, 7946, 2232, 1010, 6289, 2890, 10343, 1010, 19169, 6342, 13871, 4355, 2000, 2113, 1996, 3691, 1997, 1037, 4037, 1012, 2009, 2003, 2590, 2000, 4638, 1996, 4957, 1521, 1055, 2597, 2006, 1996, 3931, 1010, 1996, 3020, 1996, 4957, 2038, 2872, 1996, 9592, 1997, 2893, 11562, 7457, 1998, 8224, 2097, 3413, 2062, 3931, 4635, 2000, 2008, 3931, 1012, 2036, 1010, 4638, 1996, 4957, 11712, 1010, 2065, 1037, 3931, 2038, 2205, 2116, 6971, 1010, 2059, 1996, 3931, 4635, 2097, 2022, 5500, 2000, 2035, 1996, 5530, 1010, 2061, 2169, 4957, 2097, 2131, 2625, 3931, 4635, 1998, 2009, 2036, 3504, 12403, 18879, 1012, 4957, 8133, 3793, 2036, 3248, 2019, 2590, 2535, 2004, 8224, 3594, 8133, 3793, 2004, 1037, 5464, 4742, 1012, 2061, 1010, 4957, 8133, 3793, 2323, 2022, 7882, 1998, 2987, 1521, 1056, 2467, 2224, 1996, 9416, 3145, 22104, 2069, 1012, 2061, 1010, 7188, 2017, 2024, 2311, 6971, 1010, 2123, 1521, 1056, 2224, 1996, 6635, 3145, 18351, 1011, 4138, 8133, 3793, 7249, 1012, 2036, 1010, 4638, 2065, 1996, 4957, 2003, 2079, 1011, 3582, 2030, 2053, 1011, 3582, 2004, 1996, 2079, 1011, 3582, 4957, 5235, 1996, 3691, 2000, 1996, 5799, 3931, 1998, 2053, 1011, 3582, 6971, 2069, 2507, 20385, 2000, 3945, 5209, 1012, 4127, 1997, 2067, 13767, 2015, 2000, 4468, 1996, 2200, 2034, 2518, 2000, 5136, 2043, 4526, 1037, 4957, 2003, 3251, 2030, 2025, 2009, 1521, 1055, 2183, 2000, 2022, 2641, 2919, 1012, 2182, 2003, 2019, 19184, 1997, 2070, 1997, 2216, 1024, 1008, 3825, 6971, 1516, 2009, 1521, 1055, 2200, 3733, 2005, 3945, 5209, 2000, 2425, 2043, 2619, 3825, 2005, 1037, 4957, 1010, 2029, 3084, 2122, 4050, 4895, 24669, 13966, 1012, 2017, 2064, 4553, 2062, 2055, 1996, 11594, 1997, 3825, 6971, 2006, 1996, 2880, 8224, 3945, 2430, 9927, 1012, 2017, 2323, 2036, 4468, 6971, 2013, 2811, 7085, 2008, 2024, 2025, 2739, 13966, 1010, 2659, 1011, 3737, 2030, 22537, 14176, 6971, 1010, 2659 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2695, 3527, 6169, 8087, 1037, 2193, 1997, 9755, 2004, 2027, 2707, 2559, 2005, 2037, 5700, 4619, 3105, 1012, 2348, 1037, 8263, 2003, 1037, 3653, 2890, 24871, 1010, 2493, 2342, 2000, 7374, 3209, 2007, 7882, 3325, 1998, 4813, 2000, 3233, 2682, 1996, 11678, 1012, 1999, 2023, 3720, 1010, 2035, 1997, 2149, 2097, 4638, 2041, 2093, 8107, 2005, 12725, 2019, 6581, 2476, 1024, 1516, 2022, 3625, 2005, 2115, 2495, 1998, 2470, 1025, 1517, 2191, 2224, 1997, 8325, 2458, 7300, 1025, 1516, 2298, 2005, 1037, 10779, 1025, 1516, 6709, 1037, 2844, 5795, 1012, 1516, 4503, 1037, 2117, 2653, 1012, 2009, 2003, 2124, 2008, 4083, 1037, 3097, 18444, 2064, 10938, 2115, 2166, 2476, 4022, 7846, 1012, 2096, 2017, 11276, 2000, 2191, 2019, 3947, 2000, 5335, 2115, 2113, 1011, 2129, 1998, 4813, 1999, 1037, 2117, 2653, 1010, 2017, 2323, 2036, 2191, 3056, 2017, 2031, 1037, 2307, 10616, 1999, 1996, 3128, 9329, 1012, 14599, 1010, 2045, 2024, 3365, 3784, 4219, 2000, 2393, 2017, 4553, 1037, 4840, 4416, 1012, 2122, 4127, 1997, 4219, 2064, 6509, 2017, 2424, 1037, 29536, 10719, 2008, 8752, 2015, 2115, 7590, 1998, 5426, 1012, 2011, 11566, 2122, 8107, 1010, 2017, 2097, 2022, 2200, 2092, 2006, 2115, 2126, 2000, 1037, 2488, 2925, 1012, 5136, 1996, 3105, 2592, 1012, 1996, 10300, 2005, 1037, 11369, 2695, 1037, 3929, 4810, 6821, 2064, 2022, 2004, 2659, 3432, 2138, 8827, 2487, 1010, 6694, 1012, 7539, 1997, 1996, 2112, 1010, 1996, 2597, 1997, 2115, 3323, 12199, 2064, 5335, 2115, 2476, 17464, 6304, 1012, 2096, 2017, 2323, 5121, 4468, 15926, 2075, 2205, 2521, 2185, 2013, 8041, 5971, 1010, 2009, 2003, 1037, 2204, 2801, 2000, 5136, 1996, 2476, 9824, 1998, 2202, 1996, 2157, 4084, 2000, 5335, 2009, 1012, 1999, 2023, 2126, 1010, 2017, 2064, 2115, 2219, 9592, 1997, 6344, 1998, 5083, 1999, 2115, 4217, 2476, 1012, 2009, 2003, 10232, 2000, 5454, 2019, 2181, 2008, 2017, 1521, 2128, 7568, 2055, 1998, 2123, 1521, 1056, 3499, 2009, 2907, 2017, 2067, 1012, 2043, 2009, 3310, 2000, 4037, 2458, 1010, 2028, 1997, 1996, 2087, 10232, 6177, 2003, 1996, 3452, 2298, 1998, 2514, 7495, 2000, 1996, 2609, 1012, 2160, 2024, 8995, 1998, 1996, 3311, 1998, 2272, 2000, 2514, 1997, 2115, 2609, 2323, 2085, 2115, 4539, 4378, 2004, 2574, 2004, 2027, 2022, 2464, 1012, 2017, 2215, 2000, 2681, 1037, 9879, 8605, 1998, 3426, 2068, 2000, 2468, 2215, 2000, 2709, 1012, 1037, 2204, 2609, 2323, 2031, 1037, 3180, 1010, 19647, 9621, 1998, 1037, 5310, 1011, 5379, 9163, 2291, 1012, 2182, 2024, 2070, 10247, 2000, 5454, 2115, 4037, 3233, 2041, 1012, 1037, 3928, 4037, 9621, 2003, 12689, 3973, 4114, 2000, 5676, 2008, 1996, 10367, 2064, 4089, 3229, 2592, 2855, 1012, 1037, 2217, 8237, 12183, 2030, 4530, 1011, 2091, 12183, 7480, 1037, 2862, 1997, 3176, 5167, 2043, 1037, 10367, 25215, 2869, 2055, 2023, 1012, 1037, 2609, 2008, 15665, 3254, 2030, 20868, 17728, 4570, 1996, 5310, 2097, 2062, 2084, 3497, 2765, 1999, 1037, 3445, 17523, 3715, 1012, 1996, 3452, 5107, 12571, 1997, 2019, 4037, 2003, 2200, 2590, 1012, 2009, 7126, 2019, 3265, 22149, 1996, 2609, 2302, 7669, 1998, 2855, 1012, 1996, 2640, 2036, 2342, 2000, 2022, 3722, 2000, 22149, 1012, 4773, 3931, 9621, 2003, 1037, 10232, 2112, 1997, 1996, 5310, 8278, 1012, 1037, 4037, 1521, 1055, 9621, 2442, 2022, 8335, 2007, 1996, 8013, 1521, 1055, 18394, 1012, 1996, 22138, 9381, 1997, 1037, 4773, 3931, 2064, 2022, 2590, 3832, 2005, 25705, 2075, 5200, 1012, 1996, 2087, 2759, 11744, 2031, 1037, 2275, 9381, 17254, 1996, 2087, 2691, 4773, 16602, 3332, 1010, 4653, 5813, 1010, 1998, 8080, 2946, 1012, 1999, 2804, 1010, 1996, 2517, 3793, 2323, 2022, 2404, 1999, 1996, 2415, 2000, 2191, 1037, 2062, 17453, 16004, 3716, 1012, 2096, 1996, 3720, 5107, 3252, 2003, 2019, 6827, 2112, 1997, 1037, 4037, 1010, 2009, 2428, 2323, 2025, 17092, 1012, 2065, 2017, 2024, 14727, 2055, 4531, 9518, 12020, 1999, 6239, 1010, 2017, 2097, 2424, 2008, 1996, 2446, 3105, 3006, 2003, 5186, 6975, 1998, 2017, 2442, 2022, 4810, 2000, 3696, 2039, 2005, 2116, 5841, 1012, 2023, 2064, 2022, 1037, 2204, 2801, 2000, 2298, 3784, 3214, 2005, 3105, 12436, 9336, 9243, 1998, 6039, 1999, 4895, 19454, 28775, 3064, 5097, 1012, 2174, 1010, 2017, 2442, 2562, 1999, 2568, 2008, 1996, 2149, 2038, 2025, 2116, 3105, 3193, 2009, 2085, 12436, 9336, 9243, 1998, 1037, 3435, 4007, 2832, 2453, 2025, 11302, 24718, 1012, 2023, 3720, 2097, 2191, 2009, 6082, 2000, 5851, 1037, 9425, 1998, 5851, 2147, 1999, 5137, 1012, 1996, 2406, 2003, 1999, 2342, 1997, 2116, 10571, 8390, 1999, 3365, 4249, 1012, 2028, 1997, 1996, 2759, 13100, 2003, 10660, 8144, 1010, 1998, 1996, 2406, 2003, 1999, 11480, 2342, 1997, 2158, 6692, 14890, 2869, 1012, 2096, 2045, 2024, 2116, 3330, 4460, 2800, 1999, 2866, 1010, 2045, 2024, 2747, 2069, 2274, 1010, 2199, 4591, 2111, 1999, 1996, 2181, 1012, 11381, 1037, 2504, 1999, 2033, 14856, 5084, 3330, 2003, 6827, 1999, 12067, 1037, 3105, 1999, 2023, 2492, 1010, 2043, 2017, 4148, 2000, 2022, 13459, 2055, 2023, 2173, 1010, 2017, 2064, 2424, 3029, 1999, 2074, 2055, 2151, 3068, 1012, 3105, 6695, 1999, 2762, 2024, 2025, 2004, 2524, 2000, 2424, 2004, 2027, 2018, 2042, 1999, 2627, 2086, 1012, 6274, 3037, 1999, 2665, 4204, 2003, 4852, 1996, 5157, 2000, 2131, 9871, 8519, 1012, 7297, 1010, 1996, 2287, 2075, 6926, 2854, 2003, 4526, 2019, 4852, 9095, 2005, 8390, 1999, 1996, 2181, 1997, 6825, 1010, 18420, 1010, 1998, 16012, 7583, 28775, 2638, 1012, 10655, 1010, 1996, 15961, 1998, 6813, 4753, 2003, 2036, 8550, 5157, 1998, 2003, 2036, 1037, 2307, 2173, 2000, 2707, 1037, 2476, 1012, 2023, 2785, 1997, 3068, 2950, 2116, 2367, 9927, 19894, 2015, 1010, 2013, 3829, 1998, 3403, 4460, 2000, 10571, 4460, 2074, 2066, 4773, 2640, 1010, 2693, 12708, 8390, 1010, 1998, 2062, 1012, 2065, 2017, 2224, 1996, 4274, 2005, 2449, 2030, 3383, 5165, 1010, 2017, 2323, 2031, 1037, 7325, 21210, 2078, 1012, 2027, 2147, 2066, 1037, 2897, 1010, 16468, 3674, 12997, 11596, 1010, 1998, 2562, 2115, 4274, 4023, 5851, 1998, 1012, 2045, 2024, 2195, 4127, 1997, 17634, 21210, 2078, 1010, 2070, 1997, 2029, 2024, 2489, 1998, 2500, 5478, 1037, 2326, 3715, 1012, 2009, 2003, 6827, 2000, 6148, 2592, 2077, 2437, 1037, 3247, 1012, 2327, 3737, 5443, 1012, 6135, 2489, 7325, 21210, 3619, 2024, 3227, 2019, 5301, 5211, 1010, 2004, 2027, 3749, 3445, 3036, 1998, 2838, 1012, 1996, 2200, 2190, 7325, 21210, 16275, 1010, 2006, 1996, 2060, 2204, 21210, 2078, 2005, 3645, 2184, 2192, 1010, 2003, 2788, 2489, 2096, 5378, 3872, 11596, 1998, 1037, 3979, 2544, 1012, 2009, 18227, 3167, 1998, 2194, 2592, 2096, 5378, 1037, 2489, 9703, 1012, 2009, 2097, 2022, 2104, 2115, 2491, 2000, 5630, 3251, 1996, 2326, 2097, 2022, 4276, 1996, 2769, 1012, 2017, 2064, 2298, 2012, 2009, 2041, 6135, 2489, 2000, 2156, 2065, 2008, 11072, 2115, 3791, 1012, 1996, 2190, 17634, 21210, 16275, 4007, 2003, 3647, 1998, 5851, 2000, 2115, 9394, 1012, 5678, 2009, 2003, 4621, 1999, 28805, 2075, 2449, 1998, 2797, 2592, 1010, 2029, 6083, 2017, 2323, 2428, 8816, 2023, 2085, 1012, 2017, 2089, 2130, 3046, 1037, 6135, 2489, 2544, 1997, 1996, 10418, 7325, 21210, 16275, 2077, 13131, 1996, 2440, 8349, 1012, 2023, 2126, 1010, 2017, 2097, 2424, 2065, 2009, 2573, 2007, 2115, 3791, 1012, 2017, 2064, 2036, 4638, 2041, 1996, 2489, 7099, 2544, 2000, 20410, 2065, 2009, 6010, 2115, 3791, 1012, 2065, 2017, 2024, 2025, 2469, 2055, 3251, 2030, 2025, 1996, 4007, 2323, 4848, 2115, 3791, 1010, 2017, 2064, 2467, 2175, 2005, 1037, 3825, 2041, 15002, 1012, 2017, 2089, 2036, 2131, 1037, 3979, 2544, 2077, 2017, 5630, 2065, 2000, 4965, 2023, 1012, 4654, 2063, 12696, 22254, 10288, 1027, 2385, 1187, 15290, 16856, 28598, 29436, 14150, 1181, 15290, 22919, 25529, 10325, 18947, 18947, 15290, 16856, 1188, 29747, 29746, 14150, 29436, 23742, 29744, 29748, 10325, 22919, 15290, 1187, 10260, 29746, 16856, 14150, 29747, 29113, 1192, 10325, 29743, 15290, 1184, 29436, 17432, 1194, 14150, 10325, 29747, 28598, 1188, 29754, 29748, 22919, 1024, 1196, 28598, 29752, 10260, 22919, 23742, 6655, 3453, 1196, 28598, 29752, 10260, 22919, 23742, 1181, 15290, 22919, 25529, 10325, 18947, 15290, 16856, 1196, 1193, 29749, 10325, 29751, 10325, 10260, 29436, 23742, 18947, 14150, 29741, 14150, 1196, 10260, 10325, 22919, 10260, 2490, 6655, 10105, 3678, 4012, 6655, 10105, 3678, 1189, 10260, 23925, 1198, 29747, 22919, 28995, 19259, 10325, 22919, 23742, 1192, 10260, 1180, 10325, 29749, 14150, 18947, 1012, 1189, 10260, 23925, 1191, 29113, 1198, 29743, 15290, 1183, 19259, 14150, 16856, 10325, 29436, 10325, 1010, 1189, 29436, 29757, 29752, 15290, 25529, 14150, 15290, 1192, 10260, 29746, 16856, 10260, 25529, 29436, 15290, 18947, 10325, 15290, 1182, 1197, 15290, 29750, 18947, 10325, 29752, 15290, 29747, 23925, 14150, 29745, 1195, 10260, 29744, 25529, 10325, 22919, 15414, 1181, 15290, 22919, 22919, 10325, 18947, 29741, 1194, 29436, 14150, 29754, 10260, 29742, 23925, 10325, 1181, 15290, 29744, 14150, 29746, 10260, 29747, 18947, 14150, 29747, 22919, 23742, 1182, 10260, 29753, 10325, 29750, 1194, 14150, 29436, 23742, 29744, 19259, 10260, 22919, 15290, 29436, 23742, 29747, 23925, 10325, 29750, 1184, 28995, 18947, 29113, 29750, 1012, 1188, 18947, 14150, 29741, 29742, 10260, 1181, 15290, 22919, 25529, 10325, 18947, 18947, 15290, 16856, 1194, 16856, 15290, 29742, 29436, 10260, 29741, 10260, 15290, 22919, 1188, 1197, 10260, 23925, 14150, 10325, 1182, 10260, 16856, 10325, 28995, 22919, 1194, 14150, 14150, 29754, 16856, 15290, 18947, 23483, 1012, 1193, 18947, 29436, 10260, 10325, 18947, 1189, 10260, 29744, 10325, 18947, 14150, 6655, 10105, 3678, 1516, 1208, 22919, 14150, 1194, 15290, 16856, 15290, 29742, 19259, 14150, 10325, 14150, 29746, 15290, 16856, 10260, 22919, 14150, 16856, 1012, 1187, 10260, 10325, 29745, 15290, 22919, 23742, 1199, 16856, 10325, 29740, 15290, 22919, 29113, 1191, 14150, 29743, 18947, 14150, 1180, 1194, 16856, 14150, 29747, 22919, 29113, 15290, 1184, 15290, 10325, 29747, 22919, 25529, 23483, 1182, 1196, 10260, 10325, 22919, 15290, 1188, 1189, 14150, 22919, 14150, 16856, 29113, 15290, 1192, 15290, 1187, 10260, 25529, 10325, 29747, 17432, 22919, 1193, 29747, 22919, 10260, 29436, 23742, 18947, 14150, 29741, 14150, 1182, 25529, 14150, 29742, 10260, 1194, 16856, 14150, 29745, 14150, 23925, 14150, 29742, 19259, 1012, 1187, 2050, 22919, 2080, 1184, 29436, 17432, 2522, 2278, 22919, 2050, 25529, 29436, 2063, 18947, 23483, 1194, 6873, 29741, 18947, 2080, 29744, 2080, 25529, 1192, 2050, 1199, 29748, 22919, 29740, 2080, 29436, 1188, 29745, 4402, 22919, 2278, 17432, 1194, 2080, 29742, 6873, 29740, 18947, 29113, 10325, 6643, 29744, 29742, 2063, 29436, 2522, 1039, 29746, 7361, 22919, 10325, 25529, 18947, 2080, 10325, 1039, 22919, 2050, 22919, 10325, 2278, 22919, 10325, 23925, 2080, 10325, 1012, 1194, 14150, 1196, 14150, 29747, 22919, 14150, 17432, 18947, 10325, 29757, 1192, 10260, 1019, 1196, 15290, 18947, 22919, 17432, 29740, 16856, 17432, 12609, 1010, 1190, 10325, 18947, 23483, 1192, 10260, 1199, 29748, 22919, 29740, 14150, 29436, 1187, 29742, 15290, 29747, 23742, 1182, 23925, 29436, 29757, 29752, 10260, 15290, 22919, 15471, 2487, 1196, 14150, 29740, 29113, 22919, 15414, 1012, 1182, 1015, 10105, 1196, 10260, 10325, 22919, 1187, 10260, 29740, 29436, 14150, 23925, 10325, 16856, 19259, 28995, 1184, 29436, 17432, 1188, 29741, 16856, 14150, 23925, 19259, 1188, 29744, 1195, 14150, 29747, 29747, 15414, 1012, 1188, 18947, 14150, 29741, 29742, 10260, 1192, 10260, 10325, 22919, 10325, 1187, 15290, 16856, 28598, 29436, 14150, 11463, 6655, 1192, 15290, 1197, 10260, 23925, 1194, 16856, 14150, 29747, 22919, 14150, 1012, 1194, 29436, 29757, 29747, 29113, 1194, 16856, 14150, 29741, 16856, 10260, 29745, 29745, 29113, 1197, 15290, 1186, 15290, 1010, 1202, 22919, 14150, 1188, 1198, 1191, 14150, 29740, 10325, 29436, 23742, 18947, 29113, 29750, 1194, 16856, 14150, 29741, 16856, 10260, 29745, 29745, 1024, 1208, 23925, 14150, 18947, 14150, 29745, 23483, 1197, 16856, 10260, 29749, 10325, 28598, 1188, 1182, 14150, 29744, 29745, 14150, 29743, 18947, 14150, 29747, 22919, 23742, 1195, 10260, 29744, 1188, 1192, 10260, 25529, 29747, 15290, 29741, 29742, 10260, 1195, 15290, 29753, 10325, 22919, 23742, 1194, 16856, 14150, 29740, 29436, 15290, 29745, 29748, 1196, 1193, 29740, 29750, 14150, 29742, 14150, 29745, 1181, 29436, 14150, 23925, 10325, 16856, 19259, 23925, 10325, 1012, 1195, 15290, 29741, 10325, 29747, 22919, 16856, 10260, 29751, 23483, 1015, 2595, 20915, 1181, 29113, 29747, 22919, 16856, 10260, 17432, 1010, 1187, 10260, 29753, 29436, 10260, 1181, 15290, 29744, 1190, 10325, 29753, 18947, 15290, 10325, 1182, 14150, 29742, 29113, 1010, 1019, 1191, 10325, 18947, 29748, 22919, 1188, 1198, 29743, 15290, 1182, 1190, 10325, 29752, 18947, 14150, 29745, 1189, 10260, 29740, 10325, 18947, 15290, 22919, 15290, 1012, 1196, 28995, 23925, 29751, 15414, 1184, 29436, 17432, 1194, 14150, 29747, 15290, 22919, 10325, 22919, 15290, 29436, 15290, 10325, 1182, 15290, 29740, 1195, 15290, 29747, 29748, 16856, 29747, 10260, 1192, 15290, 1194, 16856, 15290, 29742, 29748, 29747, 29745, 14150, 22919, 16856, 15290, 18947, 14150, 1012, 1192, 10260, 29752, 10260, 25529, 1196, 25529, 14150, 15290, 1184, 25529, 10325, 29743, 15290 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2691, 3168, 9714, 5373, 4472, 2122, 4127, 1997, 8146, 2013, 1996, 6466, 1997, 2054, 9714, 28442, 2453, 2228, 2030, 2022, 3038, 2055, 2009, 1012, 2008, 1521, 1055, 2256, 15453, 1012, 2058, 1996, 2197, 3232, 1997, 2086, 1010, 2057, 2031, 4703, 14155, 1996, 7407, 8473, 2610, 5008, 2015, 1997, 2304, 3767, 1999, 2637, 2004, 1037, 10576, 2008, 2001, 2108, 2109, 2011, 1996, 7731, 2865, 1998, 2231, 2000, 3298, 2178, 17632, 2090, 1996, 2137, 2111, 2000, 2191, 2469, 2008, 2027, 2994, 8618, 1998, 4055, 1012, 2096, 2008, 2003, 2145, 2995, 2651, 1010, 3383, 2062, 2084, 2412, 1010, 1996, 5008, 2015, 2058, 1996, 2197, 2195, 2847, 1006, 1998, 2008, 1521, 1055, 2025, 1037, 2204, 2126, 2000, 2031, 2000, 2404, 2009, 1010, 2003, 2009, 1029, 1007, 2024, 6932, 2149, 2025, 2074, 2000, 2298, 2012, 2009, 2013, 2008, 6466, 1010, 2021, 2013, 1037, 2062, 3143, 6466, 9099, 23865, 2075, 4331, 1998, 9530, 13102, 7895, 9243, 1998, 18834, 12228, 2046, 1996, 8391, 1997, 2691, 2529, 11703, 11916, 1012, 2317, 2111, 1997, 2637, 1010, 2009, 1521, 1055, 2051, 2000, 2012, 2560, 6449, 2242, 2003, 3308, 1012, 2169, 2051, 2242, 2066, 2023, 6433, 1010, 9130, 1998, 10474, 1998, 3649, 2060, 2591, 2865, 2897, 1997, 1996, 2733, 2003, 2058, 12314, 2098, 2007, 7696, 2013, 2317, 2111, 2008, 2035, 2360, 1996, 2168, 2518, 1999, 1037, 3621, 2367, 2126, 1012, 2045, 1521, 1055, 1996, 2878, 1523, 2065, 2017, 2074, 2079, 2054, 1996, 2610, 2425, 2017, 2000, 2079, 1524, 8016, 2008, 4152, 7463, 2105, 1012, 2292, 1521, 1055, 2298, 2012, 2008, 2028, 2034, 1012, 2066, 2009, 2030, 2025, 1010, 2045, 2003, 2070, 3606, 2000, 2009, 1012, 2748, 1010, 6201, 5844, 2007, 2610, 3738, 2763, 17913, 1996, 10238, 2008, 2027, 5630, 2000, 3102, 2017, 1999, 22047, 7666, 1997, 16978, 1012, 2021, 2008, 2003, 3733, 2005, 2619, 2000, 2360, 2008, 2038, 2196, 2042, 2006, 1996, 2060, 2217, 1997, 2477, 1012, 2054, 2065, 2054, 1996, 2610, 2961, 2003, 4129, 2017, 2000, 2079, 2003, 6135, 3308, 1029, 2024, 1996, 2610, 2467, 2006, 1996, 2157, 2217, 1997, 2477, 1029, 2023, 2003, 2242, 2008, 1037, 2843, 1997, 2317, 2111, 2089, 2031, 4390, 4824, 1012, 1999, 2037, 2088, 1010, 1996, 2610, 2024, 2467, 1996, 2204, 4364, 1010, 2045, 2000, 3828, 1996, 2154, 1998, 2202, 1996, 2919, 4364, 2185, 1012, 2087, 2317, 2111, 2031, 2196, 2042, 2192, 10841, 15388, 1998, 2404, 1999, 1996, 2067, 1997, 1037, 2610, 2482, 2138, 2027, 2018, 1996, 1523, 3308, 3124, 1012, 1524, 2045, 2024, 6197, 1997, 3441, 1997, 2304, 2111, 2008, 2071, 2360, 2008, 2025, 2069, 2031, 2027, 5281, 2023, 1010, 2021, 2031, 2941, 2018, 2009, 4148, 2000, 2068, 2006, 3674, 6642, 1012, 2087, 2317, 2111, 2031, 2196, 3592, 2091, 1996, 8460, 1997, 1037, 3282, 2030, 2042, 10424, 20573, 2098, 2011, 1996, 2610, 1012, 2304, 2336, 2024, 4036, 2000, 3571, 2610, 2012, 2019, 2220, 2287, 1012, 2044, 2035, 1010, 2521, 2205, 2116, 1997, 2068, 2031, 3427, 2610, 3738, 2202, 2185, 2037, 11397, 1010, 2070, 2000, 2025, 2709, 2005, 5109, 2058, 6997, 2008, 4025, 9033, 23697, 2099, 1999, 1037, 2047, 2576, 1998, 3451, 4785, 1012, 2061, 1010, 2748, 1010, 2005, 2317, 2111, 1010, 2009, 1521, 1055, 3733, 2000, 2360, 2008, 2065, 2017, 2074, 2404, 2115, 2398, 2073, 2115, 2409, 1998, 2196, 3160, 2122, 2477, 2012, 2035, 1010, 2017, 2323, 2022, 3100, 1012, 2021, 2012, 2054, 2391, 2515, 2008, 2175, 2041, 1996, 3332, 1029, 2065, 2256, 2610, 6135, 23689, 6590, 25709, 2015, 1006, 2004, 2116, 1010, 2116, 1999, 9714, 7925, 2903, 2097, 2776, 1007, 1010, 2012, 2054, 2391, 2003, 2009, 3100, 2000, 9507, 1029, 2012, 2054, 2391, 2003, 3308, 3308, 1998, 2157, 2157, 1029, 2009, 1521, 1055, 2062, 8552, 2084, 1523, 2074, 2079, 2054, 2115, 2409, 1012, 1524, 2009, 1521, 1055, 2785, 1997, 2066, 2043, 1037, 6687, 2758, 1523, 2138, 1045, 2056, 2061, 1012, 1524, 2061, 1010, 2317, 2111, 3432, 3685, 3193, 2023, 2013, 2008, 7339, 1010, 2053, 2062, 2084, 2115, 2779, 2304, 2711, 2064, 5674, 2893, 2766, 2058, 2011, 1996, 2610, 1998, 2108, 3294, 2512, 18598, 4630, 2055, 2009, 1012, 1999, 2070, 3971, 1010, 2057, 2079, 2444, 1999, 2367, 8484, 1012, 2178, 2518, 2008, 2317, 2111, 14601, 2006, 2044, 2019, 5043, 2066, 2023, 2003, 1996, 4735, 2501, 1997, 1996, 8343, 1012, 2009, 3047, 2651, 2007, 26374, 10933, 1012, 2748, 1010, 10933, 2018, 1037, 2501, 1012, 1998, 1010, 2074, 4363, 2009, 2613, 2182, 1010, 1037, 2501, 2515, 3459, 1037, 2711, 1999, 1037, 2367, 2422, 1012, 2008, 1521, 1055, 2785, 1997, 1037, 3019, 4668, 1012, 2021, 2065, 2017, 2024, 2304, 1010, 1037, 4735, 2501, 2987, 1521, 1056, 9352, 2812, 1996, 2168, 2518, 2004, 2009, 2515, 2000, 2317, 2637, 1012, 2000, 1037, 2317, 2711, 1010, 1037, 4735, 2501, 2003, 2019, 1523, 1045, 2409, 2017, 2061, 1524, 2617, 1012, 2156, 1010, 1996, 3124, 2001, 1037, 4735, 1012, 2004, 2065, 2023, 3084, 2009, 2367, 1012, 2009, 2987, 1521, 1056, 3043, 2065, 2017, 2074, 15504, 1037, 2775, 1010, 2743, 1037, 2417, 2422, 1010, 2030, 2730, 1996, 2343, 1025, 2065, 2017, 2024, 23206, 2030, 2025, 20540, 1037, 3622, 1010, 9252, 5081, 1010, 1996, 2610, 2064, 1521, 1056, 3102, 2017, 1012, 2009, 1521, 1055, 2008, 3722, 1012, 2009, 1521, 1055, 2170, 2542, 1999, 1037, 25825, 2554, 1012, 2317, 2111, 2123, 1521, 1056, 2215, 2000, 6449, 2009, 1010, 2021, 2045, 2003, 3606, 2000, 1996, 2755, 2008, 2317, 2111, 2064, 10797, 3143, 23482, 1998, 2022, 21614, 2579, 2046, 9968, 1012, 2156, 1996, 10907, 13108, 2005, 2019, 2742, 1012, 2065, 2412, 2045, 2020, 1037, 2051, 2005, 2610, 2000, 2031, 2019, 2009, 11714, 9495, 4344, 1010, 2008, 2001, 2009, 1012, 2065, 2412, 2045, 2001, 1037, 2051, 2073, 2087, 1997, 2149, 2052, 2031, 2042, 2986, 2007, 1996, 2610, 2074, 18921, 20464, 18606, 2006, 2023, 2832, 1998, 4288, 2023, 3538, 1997, 2529, 13044, 1010, 2008, 2001, 2009, 1012, 1998, 2664, 1010, 2002, 2001, 2579, 2046, 9968, 21614, 1012, 2027, 2354, 2002, 2001, 4273, 1012, 4273, 2000, 1996, 4091, 1012, 3342, 13158, 1010, 5169, 1012, 2130, 2746, 2006, 1037, 3496, 4209, 1037, 3124, 2074, 14998, 2098, 2111, 2007, 6101, 4255, 2180, 1521, 1056, 2191, 2610, 8073, 3102, 1037, 2317, 2711, 1012, 2045, 2024, 2195, 2060, 12107, 1997, 2023, 1010, 2021, 2005, 1996, 8739, 1997, 2025, 2437, 2023, 9951, 2135, 2146, 1010, 2057, 2097, 2681, 2009, 2012, 2008, 1012, 1998, 2664, 1010, 1037, 2304, 2158, 4855, 14340, 2006, 1996, 2395, 3420, 2008, 2089, 2030, 2089, 2025, 2031, 1037, 3282, 2003, 6472, 1999, 11695, 1012, 4735, 2636, 2024, 1999, 1996, 2627, 1010, 1998, 2096, 2009, 2453, 2025, 2022, 1037, 2307, 3696, 1997, 2019, 11139, 5794, 4667, 6926, 1010, 2009, 2145, 2987, 1521, 1056, 2812, 2505, 2055, 2054, 2003, 6230, 2157, 2085, 1012, 1998, 1010, 2130, 3742, 28310, 2131, 2037, 2154, 1999, 2457, 1012, 3342, 1996, 2775, 16709, 6238, 2012, 9502, 2110, 1012, 9379, 6545, 1012, 2002, 1521, 2222, 2131, 2010, 2154, 1999, 2457, 1012, 2087, 2111, 1041, 16211, 2618, 2775, 16709, 20100, 2007, 1996, 7619, 5409, 6997, 2006, 2023, 3011, 1010, 1998, 2471, 2053, 2028, 2052, 2022, 6517, 2065, 2002, 2288, 2010, 14332, 10676, 2041, 1012, 2122, 2111, 2057, 2074, 2315, 2134, 1521, 1056, 2031, 4735, 2636, 1012, 2027, 2020, 8851, 16873, 23482, 2157, 2085, 1999, 2115, 2227, 1010, 1998, 1996, 2610, 2106, 2025, 3102, 2068, 1012, 2009, 2003, 2069, 2019, 8016, 2005, 2317, 2111, 2000, 3613, 2000, 2298, 1996, 2060, 2126, 1998, 2424, 1037, 2126, 2000, 7499, 1996, 6778, 2005, 1996, 4126, 1012, 2008, 2089, 2025, 2022, 14057, 1010, 2021, 2009, 1521, 1055, 2145, 1996, 3606, 1012, 2178, 6976, 2518, 2017, 2097, 2156, 2317, 2111, 3038, 2055, 2242, 2066, 2023, 2003, 2242, 2000, 1996, 3466, 1997, 1523, 2821, 2053, 999, 2182, 3310, 1996, 2679, 4003, 2153, 1012, 1524, 2092, 1010, 2182, 2057, 2175, 2153, 1012, 1996, 2061, 1011, 2170, 1523, 2679, 4003, 1524, 2003, 2766, 7564, 1997, 2335, 1999, 2256, 2088, 2043, 2009, 2003, 2025, 10943, 2098, 1012, 2025, 2673, 2008, 2412, 6433, 2000, 1037, 2304, 2711, 2003, 2138, 1997, 2679, 1012, 3374, 1010, 2304, 2111, 1010, 2021, 2023, 2453, 2025, 2022, 14057, 2005, 2017, 2593, 1012, 2174, 1010, 2045, 2024, 2335, 2043, 1996, 1523, 2679, 4003, 1524, 2003, 11476, 1012, 1998, 2008, 2003, 2073, 1996, 2300, 4152, 14163, 15952, 1012, 2009, 1521, 1055, 2066, 1037, 2879, 2040, 6639, 4702, 1012, 3342, 2008, 2466, 1029, 1996, 2679, 4003, 4152, 6908, 2105, 1006, 2025, 2074, 2011, 2304, 2111, 1010, 2021, 2036, 2011, 1996, 2865, 1007, 1010, 1998, 2317, 2111, 1010, 2119, 2204, 1998, 2919, 1010, 2031, 2468, 4078, 6132, 25090, 5422, 2000, 2009, 1012, 2428, 1012, 2045, 2024, 2070, 2317, 2111, 2008, 2024, 16939, 1010, 2057, 2035, 2113, 2023, 1010, 1998, 2428, 1010, 2053, 2028, 2003, 16286, 2667, 2000, 9772, 2008, 1012, 4728, 1010, 2057, 2876, 1521, 1056, 2130, 2031, 1996, 2773, 2000, 5466, 2105, 1012, 14398, 6526, 1012, 2021, 1996, 10827, 3484, 1997, 2317, 2111, 2024, 2025, 2058, 14626, 16939, 1010, 2021, 1996, 1523, 2679, 4003, 1524, 2003, 6908, 2105, 2000, 1996, 2391, 2008, 2130, 2216, 2317, 2111, 2008, 2079, 2156, 2477, 1999, 1996, 2157, 7339, 2024, 2061, 2109, 2000, 4994, 2009, 2008, 2027, 2123, 1521, 1056, 2130, 3477, 3086, 1012, 2008, 1521, 1055, 1996, 2518, 2055, 2122, 2048, 5008, 2015, 1012, 2023, 2003, 2028, 1997, 2216, 7960, 18907, 1006, 2821, 1010, 3531, 1010, 3531, 2053, 26136, 3832, 1007, 6642, 2073, 1996, 1523, 2679, 4003, 1524, 2003, 2531, 1003, 7078, 6413, 1012, 2003, 2023, 2149, 3038, 2008, 1996, 2610, 3738, 2920, 1999, 2122, 5008, 2015, 2074, 2288, 2067, 2013, 1037, 26613, 3116, 2006, 2037, 6265, 3338, 1029, 2053, 1010, 2025, 9352, 1012, 2021, 2009, 2003, 9608, 2000, 7868, 2008, 2023, 2012, 2560, 6576, 3047, 2138, 1996, 2610, 3738, 2020, 2317, 1998, 1996, 10181, 2001, 2304, 1012, 2064, 2057, 2012, 2560, 6449, 2008, 2172, 1029, 1996, 3953, 2240, 2003, 2008, 1996, 1523, 2679, 4003, 1524, 2003, 1037, 2613, 2518, 1010, 1998, 2009, 17210, 2000, 2022, 2209, 2012, 2335, 1999, 1996, 2208, 1012, 2009, 1521, 1055, 2428, 1037, 4487, 18116, 7903, 2063, 2000, 3071, 2920, 2008, 1996, 4003, 2109, 2000, 2022, 2019, 9078, 1997, 23288, 2015, 2021, 2003, 2025, 27129, 2091, 2000, 2074, 2178, 4003, 1999, 1996, 5877, 1012, 1996, 7499, 2005, 2008, 2038, 2000, 2022, 3659, 2105, 2000, 2025, 2151, 2679, 14258, 2021, 1996, 2529, 2028, 1012, 2664, 1010, 2009, 2003, 2025, 1037, 3639, 2005, 2610, 3738, 14574, 2075, 4480, 1012, 2057, 2071, 2175, 2006, 2582, 1010, 2021, 2008, 1521, 1055, 2438, 1997, 2317, 21917, 2005, 4028, 1012, 2021, 2096, 2057, 2024, 2006, 2008, 3395, 1010, 2292, 1521, 1055, 4769, 2242, 2842, 2055, 2023, 1012, 2009, 2003, 4028, 1012, 2339, 2024, 2057, 2061, 20221, 2000, 2655, 2009, 2008, 1029, 2009, 12721, 2015, 2033, 2008, 2043, 1996, 2533, 1997, 3425, 2651, 2441, 2049, 4812, 2046, 2028, 1997, 2122, 5008, 2015, 1010, 2027, 2655, 2009, 1037, 2942, 2916, 4812, 1012, 2008, 1521, 1055, 2061, 17183, 11219, 2075, 2000, 2304, 2111, 1010, 1998, 1045, 2123, 1521, 1056, 2130, 2228, 2027, 2031, 2245, 2055, 2009, 1012, 2009, 1521, 1055, 2025, 1037, 4028, 4812, 1012, 2009, 1521, 1055, 2025, 2019, 6905, 1997, 2373, 4812, 1012, 2009, 2003, 12061, 2004, 1037, 2942, 2916, 4812, 1012, 2043, 2097, 2057, 2156, 2304, 2111, 2004, 5020, 2438, 2000, 2317, 2111, 2000, 2074, 2175, 2006, 1998, 2655, 2009, 4028, 1029, 2061, 1010, 1996, 2942, 2916, 2008, 2020, 14424, 1010, 10712, 1010, 2020, 1996, 2200, 2916, 2000, 2444, 1998, 7200, 1998, 3328, 2006, 2023, 3011, 1029, 2008, 4165, 2062, 2066, 4028, 2000, 2033, 1010, 1998, 1045, 2228, 2008, 1996, 2126, 2057, 2744, 2008, 2003, 2112, 1997, 2256, 3291, 1012, 2942, 2916, 1029, 2008, 2003, 1996, 2157, 2000, 3789, 1012, 1996, 2157, 2000, 2147, 1998, 2031, 4189, 14763, 6194, 1012, 1996, 2157, 2000, 7425, 2004, 2030, 2065, 2057, 5454, 1012, 1996, 2157, 2000, 2444, 1029, 2008, 1521, 1055, 2183, 2205, 2521, 1012, 1996, 2157, 2000, 2444, 2003, 1037, 2942, 2157, 1045, 3984, 1012, 1045, 2812, 1010, 2009, 2003, 3492, 2942, 2000, 2360, 2008, 2304, 2111, 2079, 2031, 1996, 2157, 2000, 2444, 2037, 3268, 2302, 2108, 23044, 2011, 1996, 2610, 1012, 2021, 2043, 1996, 10108, 13108, 23044, 5637, 2111, 1996, 2060, 2154, 1010, 6343, 2170, 2009, 1037, 2942, 2916, 3277, 1012, 2009, 1521, 1055, 4028, 1010, 2111, 1012, 1996, 2610, 2089, 2031, 2589, 2116, 2477, 2000, 23640, 2122, 2048, 2273, 1521, 1055, 2942, 2916, 2096, 2027, 2020, 4142, 1010, 2021, 2023, 2003, 2025, 2055, 2008, 1010, 1998, 1996, 2126, 2057, 3830, 2009, 2008, 2003, 2941, 2635, 2185, 2013, 2054, 1996, 4471, 2323, 2022, 1012, 2023, 2003, 4028, 1010, 1998, 2043, 2057, 2024, 5621, 14622, 2169, 2060, 2004, 19635, 1010, 2057, 2097, 2022, 2062 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2043, 2017, 2424, 4426, 2460, 1997, 2769, 1010, 2045, 2024, 2467, 1037, 2193, 1997, 2566, 10196, 3372, 7047, 1012, 5356, 10940, 3784, 2024, 18801, 2065, 4851, 2005, 2155, 2030, 2814, 1521, 3361, 2393, 2003, 2041, 1997, 1996, 3160, 1012, 2182, 2017, 2097, 4553, 3145, 2685, 2055, 3784, 3477, 10259, 10940, 11113, 4783, 3077, 1010, 4108, 1012, 2023, 3720, 2097, 3437, 2107, 3980, 2000, 2054, 2122, 3784, 10940, 2024, 1010, 2040, 2003, 7792, 2000, 2131, 2068, 1010, 2054, 2017, 2323, 3342, 1010, 1998, 2129, 2000, 2131, 2318, 1012, 2061, 1010, 2292, 1521, 1055, 2175, 999, 11113, 4783, 3077, 3477, 10259, 10940, 3784, 1024, 2054, 2024, 2027, 1029, 3784, 10940, 3749, 1037, 4248, 1998, 14057, 8081, 2043, 2017, 2079, 2025, 2031, 7182, 2769, 2127, 1996, 2279, 3477, 5403, 3600, 1012, 2182, 2057, 2024, 3331, 2055, 2460, 2744, 10940, 2008, 2788, 2031, 24565, 3672, 6993, 2105, 2403, 1516, 2382, 2420, 1010, 1999, 2070, 3572, 2039, 2000, 3429, 2420, 1012, 2005, 2936, 6993, 1010, 18932, 10940, 7166, 2000, 2022, 1037, 2488, 5724, 1012, 2292, 1521, 1055, 2202, 1037, 2298, 2012, 2122, 2048, 1012, 13648, 1996, 4489, 2090, 3477, 10259, 10940, 1998, 18932, 10940, 1011, 7778, 2135, 1010, 3477, 10259, 10940, 6524, 13467, 1996, 3815, 1997, 1002, 6694, 1010, 6168, 18932, 10940, 2069, 2707, 2012, 2105, 1002, 6694, 1998, 2064, 3066, 2007, 2172, 3469, 20571, 1012, 2027, 2071, 2175, 2004, 2152, 2004, 5190, 1997, 6363, 1012, 1011, 11113, 4783, 3077, 3477, 10259, 10940, 2024, 3227, 2513, 1999, 2028, 7909, 1010, 2096, 18932, 10940, 2024, 3714, 2046, 2536, 1077, 18932, 2015, 1010, 1090, 6516, 1996, 2171, 1012, 2009, 2453, 2202, 2195, 2706, 2030, 2086, 2000, 2709, 2019, 18932, 5414, 2083, 5020, 7058, 10504, 1012, 1011, 3477, 10259, 10940, 2079, 2025, 3653, 6342, 9397, 9232, 1037, 16030, 4923, 4638, 1025, 3568, 1010, 2027, 2024, 9839, 19059, 2000, 2131, 1012, 1996, 18496, 2121, 14148, 2069, 3937, 3361, 2592, 2055, 1996, 17781, 2121, 1012, 1011, 5987, 3020, 3037, 6165, 1999, 3477, 10259, 10940, 2004, 4102, 2000, 18932, 10940, 1012, 2122, 2152, 4481, 2131, 12042, 2011, 2048, 5876, 1024, 2017, 2024, 4851, 2005, 1037, 8777, 7680, 1997, 2769, 1010, 1998, 2017, 8116, 1037, 3477, 5963, 3859, 1012, 2054, 2024, 5171, 8146, 2000, 6611, 2005, 3784, 3477, 10259, 10940, 11113, 4783, 3077, 1999, 4108, 11721, 1029, 2292, 1521, 1055, 2175, 2058, 2070, 8146, 2043, 2017, 2453, 2228, 1010, 1077, 3100, 1010, 2763, 1010, 1045, 2342, 1037, 5414, 1012, 1090, 2107, 8146, 2411, 2991, 2046, 2028, 1997, 2122, 7236, 1024, 4895, 24759, 20147, 2094, 11727, 1998, 5266, 1037, 3130, 2579, 5414, 1012, 4895, 24759, 20147, 2094, 11727, 2453, 2022, 4198, 2000, 2740, 3314, 1025, 7192, 2573, 2005, 2115, 9935, 2030, 2188, 1010, 1037, 17630, 5309, 1012, 1999, 2023, 2553, 1010, 11113, 4783, 3077, 3477, 10259, 10940, 3784, 3749, 2028, 1997, 1996, 4248, 4355, 2825, 7300, 2144, 2017, 4374, 7107, 2393, 1012, 2017, 2131, 1996, 3382, 2000, 4374, 4469, 5356, 6719, 2651, 1012, 1996, 2060, 3663, 1010, 2043, 2769, 2003, 4072, 2000, 24565, 1037, 3025, 7016, 1010, 2003, 1037, 2978, 24026, 1012, 2009, 2453, 5769, 2008, 2017, 2342, 2152, 1011, 2203, 3361, 5375, 2000, 9611, 1996, 3277, 1999, 1996, 2146, 2448, 1012, 2021, 2017, 2064, 2145, 7001, 2000, 2019, 3784, 5414, 2074, 2000, 2663, 2062, 2051, 1012, 2040, 2064, 6611, 2005, 11113, 4783, 3077, 3477, 10259, 10940, 1029, 2000, 6611, 2005, 1037, 3477, 2154, 5414, 11113, 4783, 3077, 1999, 4108, 11721, 1010, 2028, 2442, 2031, 11113, 4783, 3077, 5039, 1998, 2022, 2012, 2560, 2324, 2086, 2214, 1012, 1996, 2279, 2590, 19229, 2038, 3180, 3318, 1012, 1999, 2023, 2126, 1010, 3622, 18496, 2545, 2191, 2469, 2017, 2024, 1999, 1996, 6413, 3361, 2597, 2000, 3477, 1996, 5414, 2067, 1012, 1999, 1996, 2279, 2112, 1010, 2057, 2097, 2175, 2058, 1996, 5491, 2017, 2097, 2342, 2000, 4604, 2019, 4646, 1012, 2054, 5491, 2097, 1045, 2342, 2000, 2131, 3733, 3477, 10259, 10940, 11113, 4783, 3077, 1999, 4108, 1029, 2144, 2053, 4923, 4638, 1999, 1996, 3151, 3168, 2003, 3223, 2000, 6611, 2005, 1037, 4248, 5356, 5083, 1010, 3316, 2079, 2025, 2358, 11514, 9869, 2005, 1037, 2843, 1997, 5491, 1012, 1996, 5918, 1997, 3622, 18496, 2545, 2089, 11234, 1010, 2021, 4050, 2017, 2024, 2074, 4011, 2000, 4604, 2023, 2592, 1024, 1011, 2591, 3036, 2193, 1010, 1011, 3042, 2193, 1010, 2096, 5860, 10483, 2075, 3967, 2592, 2003, 2025, 1037, 2502, 3066, 1010, 2070, 17781, 2545, 2024, 6603, 2065, 6631, 2037, 7020, 2078, 2003, 4072, 1012, 2174, 1010, 2045, 2003, 2053, 3114, 2000, 4737, 1012, 2011, 11381, 6304, 1521, 7020, 3619, 18496, 2545, 2191, 2469, 2027, 2064, 3189, 23850, 7016, 2000, 4923, 4879, 2015, 1999, 2553, 1996, 2342, 18653, 1012, 2009, 3432, 4490, 2004, 21155, 2114, 9841, 21821, 2102, 17781, 2545, 1012, 1996, 2069, 2518, 2000, 3342, 2043, 6631, 2115, 3167, 2951, 2007, 1037, 18435, 3029, 2003, 2000, 4638, 2037, 15258, 2034, 1012, 2062, 10247, 2006, 2129, 2000, 3962, 1037, 9480, 2194, 2024, 2800, 2582, 1999, 1996, 3793, 1012, 2129, 2079, 1045, 4468, 13893, 1029, 1996, 3606, 2003, 1010, 3477, 10259, 5414, 5097, 6524, 2131, 5837, 2144, 2152, 1011, 3891, 8146, 2024, 2788, 2125, 1996, 2795, 2005, 18496, 2545, 1012, 2065, 1996, 23761, 2038, 2025, 4194, 1999, 1037, 2350, 9861, 3130, 1010, 2027, 2448, 2204, 9592, 1997, 2893, 2769, 2130, 2007, 1037, 2919, 4923, 2381, 1012, 2536, 18496, 2545, 2224, 3477, 10259, 10940, 11113, 4783, 3077, 2053, 4923, 4638, 2004, 2037, 4748, 3049, 2000, 2265, 2129, 3733, 2009, 2003, 2000, 2131, 5356, 1012, 2054, 2003, 2039, 2000, 2017, 1010, 2295, 1010, 2003, 2437, 2469, 2017, 3073, 9398, 3167, 2592, 1012, 3313, 1011, 4638, 1996, 2951, 2044, 8110, 2041, 1996, 2433, 1998, 3967, 1996, 18496, 2121, 3202, 1999, 2553, 2017, 4384, 1037, 6707, 2044, 11243, 1012, 1998, 2079, 2025, 4737, 2598, 10895, 1024, 1999, 1996, 9832, 2724, 1997, 2068, 21936, 1996, 4646, 1010, 2045, 2024, 1037, 2193, 1997, 2060, 3316, 3005, 2578, 2017, 2071, 2224, 1012, 2183, 3784, 1024, 2769, 2012, 2115, 12206, 2007, 2484, 3178, 3477, 10259, 10940, 11113, 4783, 3077, 1010, 4108, 2007, 1996, 3784, 3006, 1997, 3477, 10259, 10940, 1010, 12329, 1037, 5356, 5083, 2003, 5514, 2084, 2412, 2077, 1012, 5097, 2131, 4844, 1999, 2625, 2084, 1037, 2154, 1010, 1998, 11744, 6160, 6304, 2484, 1013, 1021, 1012, 2023, 3727, 17781, 2545, 2007, 1037, 7170, 1997, 6695, 1012, 2292, 1521, 1055, 17908, 1996, 12637, 1997, 2107, 10940, 1012, 1996, 12637, 1997, 3477, 10259, 10940, 11113, 4783, 3077, 3784, 2043, 2017, 2424, 4426, 3241, 1024, 1077, 1045, 2342, 2769, 2379, 2033, 1010, 1090, 1996, 2087, 14057, 2126, 2000, 4139, 2009, 2125, 2003, 2000, 2175, 3784, 1012, 2045, 2024, 2467, 3477, 10259, 10940, 11113, 4783, 3077, 2379, 2033, 1516, 1045, 2074, 2342, 2000, 4060, 1037, 18496, 2121, 1012, 2009, 13169, 1996, 4390, 1997, 4439, 4873, 1998, 5938, 3176, 2051, 1999, 4026, 1012, 4604, 5097, 2006, 1996, 2175, 1010, 3251, 2009, 2022, 2013, 1037, 4825, 1010, 6023, 6670, 1010, 2115, 2188, 2030, 2436, 1012, 2131, 4469, 5356, 2478, 1037, 26381, 2894, 1012, 2044, 6226, 1010, 1996, 7303, 7680, 4152, 3495, 4015, 2000, 2115, 2924, 4070, 1012, 12826, 1996, 3785, 1997, 2536, 3316, 2077, 13423, 2000, 2028, 1012, 2017, 2064, 18422, 2035, 1996, 5426, 1998, 9883, 3784, 1998, 11834, 2007, 2037, 2490, 6074, 2000, 2175, 2058, 2151, 4895, 20464, 8486, 7368, 1012, 2045, 2003, 2053, 3778, 2030, 6911, 1999, 2893, 11113, 4783, 3077, 3477, 10259, 10940, 3784, 2004, 4102, 2000, 2478, 1996, 2578, 1997, 2125, 4179, 3361, 4896, 1012, 1037, 5009, 2006, 2129, 2000, 4468, 8040, 13596, 2122, 10247, 2097, 2393, 2017, 2000, 5454, 1996, 2190, 2194, 2005, 3477, 10259, 5083, 10940, 11113, 4783, 3077, 1999, 4108, 11721, 1010, 4468, 8040, 13596, 1010, 1998, 2131, 1037, 3893, 3452, 3325, 1012, 1011, 11347, 2063, 2005, 3784, 3231, 16339, 6200, 4877, 2055, 1996, 2194, 3005, 3361, 2578, 2017, 5136, 2478, 1012, 2065, 2825, 1010, 3198, 2005, 2115, 2814, 1521, 11433, 1012, 2773, 1011, 1997, 1011, 2677, 6040, 2003, 1996, 3647, 3367, 11307, 1999, 2023, 2553, 1012, 1011, 5362, 4638, 1996, 4037, 2000, 2156, 2065, 2009, 2038, 2035, 1996, 6827, 4751, 2055, 1996, 2194, 1010, 2065, 1996, 3967, 2592, 2003, 9398, 1012, 1011, 2994, 9499, 2065, 1996, 5414, 7427, 3849, 2205, 2204, 2000, 2022, 2995, 1012, 2408, 1996, 2110, 1010, 18496, 2545, 3749, 2062, 2030, 2625, 2714, 3037, 6165, 1010, 1998, 3785, 2008, 2024, 2205, 2035, 12228, 2323, 12665, 2017, 2125, 1012, 1011, 3046, 3967, 2075, 1996, 2490, 2136, 2006, 1996, 4037, 2077, 6608, 1996, 7484, 3206, 1012, 2009, 11082, 2017, 2191, 2469, 2017, 2024, 7149, 2007, 5025, 2111, 1998, 2896, 1996, 3891, 1997, 2893, 3236, 1999, 1037, 8040, 3286, 1012, 2129, 2079, 1045, 2131, 3477, 10259, 10940, 11113, 4783, 3077, 2053, 4923, 4638, 1029, 2065, 2017, 6614, 2005, 3477, 10259, 10940, 11113, 4783, 3077, 2053, 9361, 4070, 1010, 2009, 2003, 2763, 2138, 2017, 4737, 2055, 3532, 4923, 2381, 1012, 2021, 3316, 2008, 4872, 2053, 4923, 4638, 1999, 2037, 6475, 2071, 2022, 22369, 1010, 1998, 2182, 2003, 2339, 1012, 18496, 2545, 2024, 4011, 2000, 2448, 1037, 4638, 2006, 2296, 4646, 1010, 2021, 2023, 4638, 12980, 2013, 2008, 1997, 1037, 2924, 1010, 2005, 2742, 1012, 1996, 3078, 3125, 2003, 2000, 20410, 1996, 17781, 2121, 1521, 1055, 4767, 1010, 1996, 10640, 1997, 2037, 3167, 4751, 1010, 1998, 1996, 3120, 1997, 2037, 3318, 1012, 2035, 1997, 2023, 2003, 4072, 2000, 3443, 1037, 3808, 5658, 2005, 1037, 18496, 2121, 1010, 1998, 2070, 1997, 2068, 2175, 2028, 3357, 2582, 1998, 4638, 1996, 4923, 2381, 2004, 2092, 1012, 2061, 1010, 3477, 10259, 10940, 11113, 4783, 3077, 2053, 4923, 4638, 2024, 1037, 2825, 5724, 1010, 2021, 2022, 6176, 2025, 2000, 10577, 1996, 5821, 17395, 1012, 2562, 1999, 2568, 2008, 2035, 18496, 2545, 2448, 1037, 4248, 8824, 4638, 1012, 2027, 4366, 2008, 2027, 2079, 2025, 2071, 2507, 2068, 1037, 6975, 5056, 2030, 2130, 16114, 3020, 3037, 6165, 1012, 5564, 1010, 2017, 2145, 2448, 1037, 3492, 2204, 3382, 1997, 2893, 4844, 2130, 1999, 8741, 1997, 1996, 1077, 10027, 1090, 4923, 2381, 1012, 3191, 2006, 2000, 22346, 1996, 7337, 1012, 2054, 6433, 2065, 1045, 2031, 1037, 2919, 4923, 2381, 1029, 4406, 2060, 4127, 1997, 10940, 1010, 3477, 10259, 10940, 2024, 26096, 2881, 2005, 2035, 7957, 1997, 7846, 1010, 2164, 2216, 2007, 1037, 2919, 4923, 2381, 1012, 2144, 3477, 10259, 10940, 2024, 2460, 2744, 1998, 2079, 2025, 3066, 2007, 2312, 8310, 1997, 2769, 1010, 2027, 2024, 4659, 3647, 2005, 18496, 2545, 1012, 9308, 1010, 1996, 3891, 2027, 2024, 2770, 2003, 3139, 2011, 1996, 3037, 6165, 2008, 2024, 3020, 2084, 2017, 2052, 5373, 2156, 1999, 5085, 1010, 2005, 6013, 1012, 2061, 1010, 2130, 2007, 1037, 3532, 4923, 2381, 1010, 2017, 2323, 3046, 11243, 2005, 2484, 3178, 3477, 10259, 10940, 11113, 4783, 3077, 1999, 4108, 2043, 2017, 2342, 4469, 5356, 1012, 5987, 1996, 18496, 2121, 2000, 2448, 2070, 4066, 1997, 4923, 22616, 1010, 2029, 2003, 6461, 2012, 2437, 2469, 2017, 2064, 24565, 1996, 7016, 1012, 2079, 2025, 3046, 2000, 1077, 5342, 1090, 2115, 2919, 4923, 2381, 1999, 2070, 2126, 1516, 1999, 2087, 3572, 1010, 2009, 2515, 2025, 7461, 1996, 2345, 3247, 1012, 2065, 2017, 2024, 3201, 2000, 4604, 2019, 4646, 1010, 3191, 2256, 2345, 4109, 1997, 6040, 1012, 2027, 3579, 2006, 2129, 2000, 4060, 1996, 2190, 18496, 2121, 1010, 2054, 6635, 4084, 2000, 2202, 1010, 1998, 2054, 2477, 2024, 4276, 7682, 1999, 2568, 1012, 12151, 1996, 2190, 3477, 10259, 10940, 1999, 11113, 4783, 3077, 1997, 4108, 2000, 5676, 1996, 2190, 3325, 2043, 2635, 2041, 2484, 3178, 3477, 10259, 10940, 11113, 4783, 3077, 1999, 4108, 11721, 2017, 2323, 2191, 2469, 2017, 3856, 1996, 2157, 18496, 2121, 1012, 1996, 2034, 2518, 7846, 2562, 1999, 2568, 2003, 1996, 3037, 6165, 1012, 2224, 2019, 3784, 10250, 19879, 4263, 2000, 25037, 2129, 2172, 3599, 2009, 2003, 4072, 2000, 3477, 2067, 1012, 2009, 2003, 5186, 14057, 2065, 2107, 1037, 10250, 19879, 4263, 2003, 2800, 2006, 1996, 18496, 2121, 1521, 1055, 4037, 1012, 2065, 2025, 1010, 3432, 2424, 2028, 3784, 1012, 2383, 4102, 2536, 10340, 1010, 2017, 2097, 2022, 2583, 2000, 6709, 1996, 2190, 2194, 1999, 3408, 1997, 6165, 1012, 2117, 1010, 2079, 2025, 5293, 2000, 3191, 1996, 2440, 2544, 1997, 3408, 1998, 3785, 1012, 2017, 2453, 3962, 2070, 5023, 9883, 1010, 13239, 1010, 12408, 1010, 1998, 2061, 2006, 1012, 2009, 2003, 2488, 2000, 2022, 5204, 1997, 2068, 2157, 2185, 2084, 2000, 7523, 2068, 2004, 2019, 16010, 4474, 2101, 2006, 1012, 2633, 1010, 4638, 2041, 1996, 6105, 1998, 2060, 3423, 4751, 2006, 1996, 2609, 1997, 2115, 3477, 10259, 18496, 2121, 1012, 2009, 2323, 2404, 17781, 2545, 2006, 2037, 3457, 2065, 2023, 2592, 2003, 2025, 4089 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2044, 1996, 7915, 4357, 2412, 1999, 1996, 2381, 1997, 7636, 1998, 1996, 6429, 8592, 1999, 1996, 22622, 4165, 1006, 1045, 2001, 4129, 2673, 2055, 2009, 2182, 1007, 1010, 2182, 1045, 2572, 1010, 3829, 2192, 2012, 15358, 2666, 2480, 7668, 1010, 1037, 7668, 1013, 4825, 7495, 2000, 1996, 7835, 28359, 5974, 3309, 2029, 2003, 2074, 2279, 2341, 1012, 2551, 2003, 2204, 1010, 2021, 2383, 11366, 2003, 2130, 2488, 1012, 6854, 2005, 2033, 1010, 2045, 1521, 1055, 2053, 2282, 2800, 2012, 1996, 3095, 2160, 1010, 2007, 1037, 3565, 2307, 3066, 9278, 2012, 3938, 1002, 1013, 2733, 1012, 1045, 2695, 1037, 3602, 2006, 1996, 4840, 3601, 17006, 5060, 2604, 1998, 1999, 2053, 2051, 1010, 1045, 2288, 1037, 2655, 2013, 5503, 2040, 1521, 1055, 5378, 2033, 1037, 2282, 1999, 2010, 2160, 2006, 24185, 2869, 3051, 2395, 1012, 5503, 2003, 1999, 2010, 2871, 1521, 1055, 1010, 2018, 2973, 1999, 2859, 1010, 1999, 2885, 1010, 2009, 3504, 2066, 2002, 2038, 2042, 8932, 1037, 2843, 1012, 2002, 3268, 2182, 1999, 8915, 9617, 2226, 2007, 2010, 3899, 6798, 1010, 1037, 6703, 11352, 999, 2010, 2564, 1998, 4268, 2024, 2542, 1999, 6239, 1010, 1998, 2002, 6433, 2000, 2022, 2074, 2746, 2067, 2013, 2045, 1999, 8915, 9617, 2226, 1012, 2023, 2003, 2339, 2002, 1521, 1055, 9278, 2075, 2048, 4734, 1999, 2010, 3376, 2160, 1012, 2026, 2160, 8585, 1010, 2198, 1010, 2003, 1037, 1520, 6703, 3493, 1521, 20229, 3369, 1999, 2047, 3414, 1998, 2551, 2004, 1037, 10026, 1999, 2178, 4825, 1999, 2237, 1010, 1996, 6638, 9457, 1012, 2002, 1521, 1055, 2428, 4086, 1010, 2002, 1521, 1055, 6631, 2007, 2033, 2010, 17323, 15594, 2015, 1012, 1999, 2023, 2160, 1010, 1045, 2031, 2026, 2200, 2219, 2282, 1010, 2502, 1010, 2007, 1037, 2843, 1997, 3645, 1010, 1037, 5259, 1998, 2130, 1037, 2305, 2795, 1010, 2070, 2686, 1999, 1996, 16716, 1010, 1037, 3871, 1010, 1037, 26375, 1010, 1998, 2130, 1037, 7997, 999, 2009, 1521, 1055, 1037, 2978, 6450, 1010, 7558, 1002, 1013, 2733, 1010, 2021, 1045, 1521, 1049, 5327, 2000, 2191, 2204, 2769, 2182, 1012, 1045, 2707, 2026, 2047, 3829, 2192, 3105, 2006, 1037, 9857, 1006, 2428, 1007, 1998, 2043, 1045, 7180, 1010, 2045, 1521, 1055, 6719, 2053, 2028, 2000, 6160, 2033, 1998, 4863, 2000, 2033, 2129, 2673, 1521, 1055, 2551, 1012, 1996, 10026, 2003, 3492, 5697, 1010, 1996, 13877, 2229, 2024, 3492, 5697, 2004, 2092, 1012, 5341, 2005, 2068, 1010, 1045, 2113, 2129, 2000, 2224, 1996, 9841, 28556, 2121, 2144, 1045, 2525, 2042, 2551, 1037, 2978, 1999, 1996, 9841, 28556, 2075, 2088, 2043, 1045, 2001, 1037, 3076, 1012, 1045, 2404, 2026, 20376, 2006, 1010, 1998, 1045, 2707, 2000, 9378, 2023, 6703, 8632, 1997, 10447, 1012, 2061, 1010, 3398, 1010, 2009, 1521, 1055, 3599, 2008, 1045, 1521, 2222, 2022, 2725, 2087, 1997, 1996, 2051, 2182, 1006, 2292, 1521, 1055, 2360, 19610, 5989, 1003, 1997, 1996, 2051, 1007, 1024, 12699, 6703, 10447, 1012, 1998, 2144, 1996, 9841, 28556, 2075, 3698, 2003, 2428, 4485, 1010, 1045, 2031, 2000, 9378, 2673, 2007, 2026, 2219, 2398, 1998, 25742, 2077, 5128, 2505, 2503, 1012, 2748, 1012, 1045, 2113, 1012, 2009, 15537, 2033, 2026, 3325, 2012, 9413, 2483, 16673, 1999, 12385, 12879, 8162, 2043, 1045, 2001, 1037, 3076, 1006, 2009, 2001, 2055, 1529, 1023, 2086, 3283, 1010, 4151, 10231, 999, 1998, 2005, 1996, 2501, 1045, 2001, 2525, 3015, 14636, 1999, 2023, 9927, 1012, 1007, 2067, 2059, 1010, 2007, 2026, 2190, 2767, 15809, 2040, 2001, 2551, 1999, 2178, 16673, 1006, 19857, 12680, 1007, 1010, 2057, 5763, 9731, 1024, 1520, 2196, 2153, 1521, 1012, 2021, 2085, 1010, 1045, 1521, 1049, 13359, 2870, 2008, 2009, 1521, 1055, 2005, 1037, 2204, 3426, 1006, 2893, 2769, 2000, 2175, 2000, 20222, 1007, 1012, 1998, 2633, 2009, 2134, 1521, 1056, 2165, 2033, 2061, 2146, 2000, 5382, 3599, 2339, 2057, 2109, 2000, 2360, 1520, 2196, 2153, 1521, 1012, 1996, 9841, 28556, 2075, 2088, 2003, 2428, 1996, 4788, 3105, 2412, 1999, 15961, 1012, 2017, 7518, 1010, 2017, 27136, 1010, 2673, 1521, 1055, 6530, 1998, 4954, 2105, 2017, 1010, 1998, 1996, 12699, 1010, 14612, 1010, 2196, 4515, 1012, 2045, 2097, 2467, 2022, 2242, 2047, 2000, 9378, 2030, 13387, 1012, 1998, 2009, 3632, 2302, 3038, 2008, 2017, 1521, 2128, 2036, 3071, 1521, 1055, 6658, 1010, 2013, 1996, 13877, 2229, 2040, 3791, 24975, 2100, 1998, 10268, 25478, 1010, 2000, 1996, 27828, 2040, 3791, 2122, 3563, 7766, 25478, 2030, 2000, 2191, 2017, 14113, 4413, 24444, 2130, 2295, 2017, 2031, 2300, 2127, 2115, 2849, 23270, 2015, 1012, 1996, 2147, 2420, 2024, 15095, 2075, 1010, 1045, 2069, 2202, 1037, 2184, 2781, 3338, 2000, 4521, 2005, 1037, 5670, 2008, 2064, 2197, 2039, 2000, 1021, 2847, 3442, 1012, 1996, 2833, 2003, 2005, 2489, 1010, 2009, 1521, 1055, 2204, 2005, 2026, 15882, 1012, 1045, 2052, 2471, 2022, 3407, 2055, 2008, 1010, 2127, 1045, 5382, 1996, 2353, 2154, 2008, 1045, 2131, 2069, 15890, 2015, 2005, 2026, 6265, 3338, 1012, 1006, 7592, 1010, 1045, 4227, 2184, 2243, 2290, 2144, 1045, 3369, 1999, 2047, 3414, 1021, 2706, 3283, 1010, 1998, 1045, 2052, 8840, 9541, 3726, 2000, 4558, 2070, 3635, 1012, 2053, 1029, 3531, 1029, 2130, 2065, 1045, 3198, 19045, 1029, 1007, 2178, 2304, 3962, 1010, 1996, 9841, 28556, 2075, 2088, 2003, 3294, 7275, 2013, 1996, 2717, 1010, 1045, 2411, 2894, 1012, 3294, 2894, 1012, 2302, 2189, 1010, 2302, 1037, 3835, 2522, 1011, 7309, 2000, 4756, 2007, 1012, 1998, 2065, 1045, 2123, 1521, 1056, 3713, 1010, 2026, 2394, 2064, 1521, 1056, 2131, 2151, 2488, 1012, 1045, 1521, 1049, 2893, 3621, 14777, 1012, 4661, 2035, 1997, 2023, 1010, 1045, 2499, 2471, 3429, 2847, 2006, 1996, 2034, 2733, 1010, 1998, 2008, 4165, 2066, 2204, 2769, 2003, 2746, 1012, 6854, 1010, 2009, 2180, 1521, 1056, 2197, 1012, 2043, 1045, 2298, 2012, 2026, 9238, 2005, 1996, 2279, 2733, 1010, 1045, 5382, 2008, 1045, 1521, 2222, 2022, 2551, 2625, 2084, 3486, 2847, 1529, 1998, 2059, 2097, 3582, 1996, 2087, 9202, 3325, 1045, 1521, 2310, 2412, 2018, 2144, 1045, 3369, 1999, 2047, 3414, 1024, 1045, 1521, 1049, 2356, 2000, 4608, 1996, 13675, 4710, 7529, 1998, 2404, 2068, 2046, 2122, 8641, 1999, 2344, 2000, 13184, 2068, 1012, 4142, 1012, 1998, 1045, 2941, 2079, 2009, 1012, 2021, 2027, 2024, 4142, 1010, 2017, 2156, 1012, 4142, 1012, 2027, 2024, 3554, 2067, 1010, 20291, 2026, 2608, 1012, 1998, 1045, 1521, 1049, 5128, 2068, 2046, 2122, 6081, 8641, 1010, 1998, 1045, 2572, 2437, 2068, 10514, 4246, 24755, 2618, 1012, 1045, 1521, 1049, 4288, 2068, 1012, 2004, 1045, 1521, 1049, 2183, 2007, 2023, 8239, 3105, 1010, 1045, 2707, 2000, 5390, 1012, 2062, 1998, 2062, 1012, 1045, 2113, 2008, 1045, 2572, 2019, 6832, 2711, 1010, 1045, 2428, 2079, 1012, 1998, 1045, 2036, 2113, 2008, 1037, 2843, 1997, 2111, 1010, 1998, 2926, 1996, 3924, 2040, 2387, 2033, 2725, 2023, 3327, 2154, 1010, 2180, 1521, 1056, 2130, 3305, 1037, 2978, 2054, 3047, 1999, 2026, 2132, 1010, 1999, 2026, 2540, 2096, 1045, 2001, 2725, 2023, 1012, 7929, 1010, 1045, 1521, 1049, 1037, 3492, 7591, 2611, 1012, 1045, 2113, 1012, 1998, 4288, 2122, 13675, 4710, 7529, 2007, 2026, 2219, 2048, 2398, 1010, 1045, 1521, 1049, 3374, 2000, 2360, 2021, 2009, 2428, 3631, 2026, 2540, 1012, 2428, 1012, 1045, 5763, 2870, 2008, 2013, 2085, 2006, 1045, 2052, 2196, 1010, 2196, 1010, 2079, 2242, 2008, 1045, 1521, 1049, 3110, 3308, 1010, 2130, 2005, 1037, 6703, 3105, 1012, 1045, 2001, 16697, 1012, 2053, 12014, 1012, 1045, 5319, 2008, 1045, 2018, 2000, 2131, 1996, 3109, 2041, 1997, 2023, 2173, 1012, 2061, 1045, 2253, 2000, 1996, 4840, 3601, 17006, 5060, 2604, 2153, 1012, 2027, 2074, 2404, 1037, 3602, 2055, 1037, 3105, 2012, 1996, 18112, 1999, 1996, 17006, 1012, 1998, 1045, 1521, 1049, 3241, 1010, 1520, 2941, 2339, 2025, 1029, 1521, 1045, 5481, 2000, 1996, 3075, 1998, 4339, 1037, 3835, 1041, 1011, 5653, 2055, 2026, 2293, 1997, 2047, 6322, 1012, 2027, 2655, 2033, 2067, 1006, 12316, 3270, 11057, 999, 1007, 1998, 1045, 2288, 2019, 4357, 1037, 2261, 2420, 5728, 1012, 1045, 3113, 9018, 1010, 1996, 3954, 1010, 2040, 4136, 2033, 2008, 2016, 2525, 2179, 2619, 2005, 1996, 18112, 3105, 1010, 2021, 2065, 1045, 2215, 2009, 1010, 2045, 1521, 1055, 1037, 2597, 2012, 1996, 3965, 2533, 1012, 2016, 1521, 1055, 11302, 2075, 2033, 2871, 6806, 9236, 1013, 2733, 1998, 1996, 4495, 2000, 2079, 2305, 8873, 3363, 2004, 2092, 1010, 1996, 15475, 9991, 2075, 2044, 8503, 1010, 1017, 2335, 2566, 2733, 1010, 2029, 2003, 3492, 2172, 1020, 2847, 1997, 2147, 2062, 2296, 2733, 1012, 9018, 4136, 2033, 2055, 2014, 2136, 1010, 1996, 9238, 1010, 1996, 3098, 2847, 1010, 1996, 2048, 2420, 2125, 2566, 2733, 1010, 2016, 4136, 2033, 1037, 2978, 2055, 2014, 2166, 1010, 2014, 3803, 7321, 1010, 2014, 2336, 1999, 2885, 1012, 1045, 2785, 1997, 2066, 2014, 1010, 2023, 9018, 1012, 1045, 3696, 1996, 3206, 1012, 2085, 1010, 1045, 2074, 2031, 2000, 2360, 2000, 2026, 5795, 2008, 1045, 1521, 1049, 2975, 1010, 2144, 1045, 2180, 1521, 1056, 2022, 2583, 2000, 2147, 2119, 5841, 2012, 1996, 2168, 2051, 1012, 1045, 1521, 1049, 1999, 12893, 2074, 2000, 2228, 2008, 1045, 1521, 1049, 4129, 2026, 5795, 2008, 1045, 1521, 1049, 2975, 2069, 2044, 2048, 3134, 2551, 1012, 2129, 2097, 2002, 10509, 1029, 1045, 1521, 2310, 2196, 1520, 8046, 3064, 1521, 1037, 3105, 2077, 1012, 1045, 2202, 1037, 2784, 3052, 1998, 1045, 2633, 2425, 2032, 1010, 2101, 2008, 2154, 1012, 1045, 1521, 1049, 2200, 4527, 2043, 1045, 19148, 2008, 2002, 1521, 1055, 2025, 4854, 1010, 1998, 3849, 2000, 3305, 3599, 2339, 1045, 1521, 1049, 2975, 1012, 2002, 2758, 2008, 2002, 4282, 2008, 2108, 1037, 3829, 2192, 3475, 1521, 1056, 1037, 2428, 5875, 3105, 1012, 2009, 1521, 1055, 3100, 2008, 1045, 2001, 2559, 2005, 2242, 2842, 1012, 2002, 2130, 4283, 2033, 2005, 5094, 2032, 1012, 3398, 1010, 2017, 3191, 2009, 7919, 1010, 1045, 2572, 8046, 3436, 1998, 2023, 3124, 2003, 28638, 2033, 2005, 2746, 1012, 2061, 2182, 1521, 1055, 2129, 4515, 2026, 3829, 2192, 6172, 1999, 1996, 9841, 28556, 2075, 2088, 1010, 2006, 1037, 4465, 5027, 2044, 2093, 3134, 1997, 18972, 2147, 1012, 3134, 2024, 4458, 2011, 1998, 2024, 2559, 11455, 1999, 8915, 9617, 2226, 1012, 1045, 1521, 1049, 2551, 1010, 5742, 1010, 2770, 1010, 3788, 2247, 1996, 2697, 1010, 20248, 3540, 8450, 1010, 1998, 16475, 27897, 4302, 10693, 1012, 2009, 1521, 1055, 1996, 2034, 2051, 1999, 2706, 2008, 1045, 2031, 2026, 2200, 2219, 2686, 1010, 2061, 1045, 16582, 2066, 2019, 8740, 16774, 2594, 4845, 2005, 2026, 2034, 2733, 2182, 1010, 14889, 2870, 1999, 2026, 2282, 1010, 9107, 2026, 20334, 1012, 1045, 4521, 12042, 12278, 2096, 3666, 2694, 2265, 2006, 2026, 3274, 1006, 2926, 3462, 1997, 1996, 9530, 9905, 17811, 999, 1007, 1045, 4033, 1521, 1056, 2589, 2107, 1037, 2518, 1999, 1021, 2706, 8932, 1006, 4445, 1996, 3666, 2694, 3065, 1010, 4445, 1996, 2204, 5983, 1529, 2092, 1012, 2023, 2003, 2129, 1045, 2288, 2061, 6638, 1045, 3984, 1007, 1012, 2044, 1037, 2096, 1010, 1045, 1521, 1049, 3201, 2000, 2175, 2067, 2648, 1998, 2000, 2591, 5562, 1012, 2004, 1045, 2525, 3264, 1999, 2047, 3414, 1010, 1996, 5171, 11382, 9148, 2302, 4268, 2733, 3632, 2242, 2066, 2023, 1024, 2524, 2551, 2004, 3109, 1998, 2893, 7144, 3225, 9432, 2305, 1012, 2029, 2003, 2036, 2028, 1997, 1996, 4436, 1045, 2064, 1521, 1056, 2156, 2870, 2542, 1999, 2023, 2406, 1010, 2021, 1045, 1521, 2222, 2763, 4339, 2055, 2023, 1999, 2178, 2695, 1012, 3568, 1010, 2009, 2134, 1521, 1056, 2165, 2149, 2146, 2007, 2026, 2767, 12223, 3170, 1010, 2000, 2131, 2000, 2113, 1996, 2093, 23598, 1999, 2237, 2007, 1037, 2210, 2978, 1997, 7284, 1010, 5613, 2004, 2065, 2045, 1521, 1055, 2053, 4826, 1998, 3116, 2070, 10575, 1012, 4474, 999, 1045, 8915, 9617, 2226, 2045, 1521, 1055, 1037, 2502, 3763, 1011, 2137, 2451, 999, 2004, 1037, 2765, 1010, 1045, 3113, 2703, 3981, 2012, 2147, 1012, 2016, 1521, 1055, 2013, 5619, 1998, 2573, 2012, 1996, 7835, 28359, 5974, 3309, 1012, 2016, 2001, 1999, 1996, 3829, 2005, 2028, 2154, 2000, 2393, 2105, 1012, 2009, 2069, 2165, 2149, 1037, 2261, 2847, 2000, 2031, 1037, 2428, 2204, 21209, 2183, 2006, 2090, 2149, 1012, 2016, 18675, 2033, 2000, 2014, 2665, 10434, 2283, 1996, 2168, 3944, 1012, 3398, 1010, 2469, 1010, 2339, 2025, 1029, 1045, 1521, 2222, 2716, 1996, 5909, 10869, 1012, 1045, 3113, 1037, 2843, 1997, 6411, 26210, 24396, 2043, 1045, 7180, 1010, 2048, 2446, 3057, 1998, 2093, 2413, 2111, 1010, 12834, 1010, 7628, 1998, 2798, 1011, 12445, 1012, 2023, 2283, 2003, 2066, 1037, 13721, 8962, 1010, 2045, 1521, 1055, 10391, 2013, 5447, 1010, 13173, 2078, 2013, 2634, 1010, 8657, 2013, 8063, 1010, 20996, 18684, 2532, 2013, 5872, 1010, 5348, 2013, 5619, 1998, 2061, 2116, 2060, 2111, 2746, 2021, 3183, 1045 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5094, 4411, 9611, 2005, 2522, 17258, 1011, 2539, 7860, 13729, 2005, 2449, 13717, 6869, 5901, 2000, 8013, 5936, 2507, 6304, 1996, 6998, 2027, 2342, 2157, 2185, 1999, 11834, 1010, 2591, 1010, 3793, 1010, 1998, 2058, 1996, 3042, 2007, 1037, 28749, 7484, 4005, 1012, 3967, 2415, 9932, 1521, 1055, 5915, 3433, 7484, 4005, 2565, 2003, 2881, 2000, 2393, 2231, 6736, 1010, 9871, 4411, 1010, 14495, 2015, 1010, 1998, 5661, 19209, 2011, 2522, 17258, 1011, 2539, 1012, 4363, 2256, 6112, 2039, 1998, 2770, 2057, 2024, 2635, 5761, 2000, 2562, 2256, 3001, 2039, 1998, 2770, 1010, 2061, 2017, 2064, 2994, 4208, 2006, 2115, 2449, 1012, 4553, 2129, 2057, 1521, 2128, 4637, 2017, 2083, 2522, 17258, 1011, 2539, 1012, 5547, 2091, 7292, 2007, 7071, 7233, 4041, 2256, 7071, 7233, 4041, 5009, 2005, 4493, 1998, 2047, 6960, 2147, 11066, 2015, 1010, 2164, 7071, 7233, 2311, 5991, 1010, 1998, 16820, 2005, 2951, 1998, 5097, 1012, 2131, 8224, 6112, 2731, 2012, 2053, 3465, 1999, 2023, 2051, 1997, 6653, 2000, 2188, 2551, 1010, 2057, 2215, 2000, 7861, 11452, 2017, 2000, 3857, 2047, 4813, 2006, 6112, 2974, 1012, 4236, 2000, 4374, 2569, 4107, 2006, 8224, 6112, 2731, 1012, 13729, 2005, 6556, 2147, 2994, 4198, 2007, 2489, 2678, 9530, 7512, 2368, 6129, 2131, 2489, 1998, 5851, 2678, 9530, 7512, 2368, 6129, 2007, 2151, 8224, 4070, 1012, 8224, 2573, 15327, 6304, 2064, 3229, 3935, 3113, 2678, 9530, 7512, 2368, 6129, 2838, 2012, 2053, 3465, 2083, 2244, 2382, 1010, 12609, 1012, 7861, 11452, 1037, 6556, 14877, 2007, 18546, 6960, 18546, 6960, 2003, 1037, 2715, 1010, 5851, 5576, 2008, 7861, 11452, 2015, 6556, 3667, 2000, 2022, 13318, 2551, 2013, 2188, 2096, 4363, 5733, 5851, 1998, 4352, 2009, 2000, 6133, 5733, 19512, 1012, 28999, 4094, 2115, 6556, 14877, 8224, 6112, 1998, 24326, 10766, 6125, 2024, 27001, 2362, 2000, 2393, 9926, 28999, 4094, 2037, 6556, 14877, 2007, 26113, 2050, 3229, 2006, 8224, 6112, 1012, 13729, 2005, 6515, 8122, 2274, 2190, 6078, 2005, 23569, 27605, 6774, 5366, 2131, 2274, 2190, 6078, 2000, 2393, 2017, 2916, 4697, 2115, 6112, 5366, 2000, 1996, 3791, 1997, 2115, 2449, 1010, 2061, 2017, 2064, 2131, 2083, 2122, 10368, 1010, 21446, 2335, 1012, 5227, 1037, 7661, 5656, 2000, 5547, 2009, 5366, 4553, 3971, 2000, 5547, 1998, 23569, 27605, 4371, 2115, 2009, 5247, 2005, 6234, 1998, 2146, 2744, 3930, 1012, 5227, 2019, 7667, 2000, 3298, 2062, 3643, 2007, 2115, 2009, 5247, 1012, 10197, 9230, 5366, 2007, 1037, 2489, 7667, 2131, 2019, 12612, 1997, 2115, 6502, 1010, 1037, 2561, 3465, 1997, 6095, 1006, 22975, 2080, 1007, 7667, 1010, 1998, 2062, 2013, 8224, 6112, 1998, 2256, 5826, 1012, 5547, 2051, 2985, 2006, 4132, 2968, 2011, 2871, 1011, 4583, 1003, 3191, 16319, 2121, 1024, 1996, 2561, 3171, 4254, 30108, 1997, 14405, 15006, 2006, 1996, 11310, 2449, 6666, 1998, 3465, 10995, 9124, 2011, 14405, 15006, 1012, 2023, 3189, 2001, 2580, 2000, 2393, 4646, 4132, 9224, 1010, 9797, 1010, 1998, 3036, 8390, 1012, 7484, 2729, 1998, 10093, 11106, 15879, 2705, 2490, 2115, 5022, 19512, 1517, 8650, 2729, 5856, 6299, 1998, 5776, 3808, 1517, 2011, 5378, 2202, 1011, 2188, 5733, 1010, 8822, 2740, 18397, 1010, 1998, 4292, 2039, 7484, 7879, 2007, 8224, 2573, 15327, 1012, 9871, 2951, 6970, 25918, 8010, 4047, 5776, 9394, 2096, 2139, 1011, 12151, 2951, 1998, 2437, 2009, 6970, 25918, 3085, 2005, 2224, 1999, 2522, 17258, 1011, 2539, 1011, 3141, 2470, 1998, 2005, 2313, 2740, 2007, 1996, 6112, 9871, 17928, 1012, 2120, 3433, 9445, 2362, 2007, 16731, 2050, 9871, 1998, 6517, 2050, 1010, 2057, 2031, 2764, 1996, 2522, 17258, 1011, 2539, 2120, 3433, 9445, 1010, 12067, 9871, 11670, 2000, 9689, 3745, 10812, 2951, 2000, 4503, 1037, 2613, 1011, 2051, 3193, 1997, 1996, 2522, 17258, 1011, 2539, 6090, 3207, 7712, 1012, 2951, 1011, 5533, 2522, 17258, 1011, 2539, 4275, 6950, 2031, 2357, 2000, 8224, 6112, 2166, 4163, 2000, 2393, 23306, 2470, 3454, 1010, 2164, 5702, 2129, 2591, 4487, 12693, 6129, 1998, 3604, 9259, 7461, 2522, 17258, 1011, 2539, 6726, 1012, 2330, 1998, 3745, 3085, 2592, 2005, 2951, 6529, 1996, 2317, 2160, 1998, 1037, 6056, 1997, 2877, 2470, 2967, 2031, 5935, 2062, 2084, 4008, 1010, 2199, 2522, 17258, 1011, 2539, 1011, 3141, 12683, 4790, 2006, 8224, 6112, 1521, 1055, 10556, 24679, 2951, 2671, 2451, 1012, 6112, 9230, 2005, 3465, 2968, 23306, 2115, 6112, 9230, 2000, 3013, 4964, 5366, 1010, 5547, 8964, 1010, 1998, 2715, 4697, 6502, 1012, 2256, 2780, 2064, 2393, 2012, 2296, 3357, 1997, 2115, 9230, 4990, 2000, 8224, 6112, 1012, 6556, 14877, 9585, 3672, 2007, 8224, 2573, 15327, 2562, 5126, 4198, 2076, 2122, 10368, 2335, 2007, 2256, 7621, 1997, 5792, 18726, 1012, 8224, 2573, 15327, 11082, 2780, 2678, 3034, 1010, 11834, 1010, 10373, 1010, 1998, 2147, 1999, 4207, 5491, 2013, 5973, 1012, 2522, 17258, 1011, 2539, 1516, 3141, 17338, 15810, 3401, 3977, 2968, 3623, 17338, 15810, 3401, 15258, 2076, 23956, 19547, 1999, 9343, 1012, 8224, 6112, 1521, 1055, 2490, 3454, 2005, 4672, 5157, 2335, 2066, 28939, 27487, 2024, 5094, 2076, 2522, 17258, 1011, 2539, 1010, 4352, 2017, 2000, 3579, 2006, 2115, 2449, 2096, 2057, 6133, 3977, 1012, 17338, 15810, 3401, 20181, 2000, 4681, 2125, 4179, 2000, 3784, 2693, 8027, 17338, 15810, 3401, 3001, 2000, 1037, 11661, 3550, 4294, 2008, 3957, 2017, 12943, 15148, 1999, 1037, 19857, 6593, 24133, 3006, 1012, 8224, 6112, 4107, 3330, 2490, 1010, 2731, 1010, 1998, 2062, 2076, 2023, 6653, 1012, 5157, 19939, 2075, 1998, 12612, 2968, 19939, 12363, 1999, 7325, 5938, 2007, 9932, 1998, 3698, 4083, 2013, 8224, 6112, 1012, 2131, 1996, 20062, 2017, 2342, 2000, 9585, 21442, 14856, 10521, 2075, 27155, 2000, 6133, 2783, 12612, 1998, 5335, 4041, 1012, 7027, 1011, 3563, 2298, 2121, 25095, 5906, 23569, 27605, 4371, 3573, 3136, 1010, 3623, 7027, 17034, 1010, 1998, 5335, 8013, 6480, 3643, 2007, 20062, 2013, 2115, 2951, 1012, 8224, 6112, 1998, 2298, 2121, 2064, 3749, 2951, 4275, 1998, 25095, 3653, 1011, 2328, 2005, 7027, 1012, 6556, 2551, 1998, 10093, 11106, 15879, 2705, 8224, 3113, 12939, 5126, 2000, 9689, 7532, 2083, 2152, 1011, 3737, 7484, 2678, 4455, 1998, 24732, 2000, 20880, 1998, 2131, 2147, 2589, 1012, 2591, 3808, 5658, 8224, 6112, 9859, 2024, 2108, 4162, 2000, 2393, 6827, 2231, 3454, 8116, 3737, 2326, 2005, 3151, 1998, 4895, 24759, 20147, 2094, 6090, 3207, 7712, 12163, 5375, 2076, 15741, 7457, 1999, 5157, 1012, 5057, 2968, 9651, 2103, 1998, 2221, 2740, 1998, 2451, 7692, 2592, 2003, 1999, 5915, 7375, 2005, 2613, 1011, 2051, 1998, 8321, 6926, 4807, 1010, 1053, 1004, 1037, 1010, 1998, 6749, 2729, 1012, 4295, 8822, 1998, 2491, 9585, 2270, 2740, 8390, 2000, 13749, 4355, 2951, 1010, 3305, 3891, 1010, 1998, 12367, 6043, 1998, 29174, 9942, 1012, 4553, 2055, 2974, 7300, 2005, 2110, 6867, 1005, 2522, 17258, 1011, 2539, 5057, 3433, 3454, 1012, 5915, 3433, 7484, 4005, 2565, 21296, 7484, 6074, 2408, 3674, 6833, 2000, 5047, 3445, 5157, 2005, 3980, 1998, 2490, 3141, 2000, 2522, 17258, 1011, 2539, 1012, 2855, 4487, 11393, 19269, 2592, 2000, 2115, 24355, 2408, 2376, 1010, 11834, 1010, 1998, 2591, 6833, 1012, 2270, 2740, 4187, 11412, 2968, 2855, 2131, 7045, 2066, 9705, 1010, 18834, 11733, 6591, 1010, 15806, 1010, 1998, 11875, 2000, 1996, 2157, 2173, 2007, 5915, 2951, 3074, 1998, 8346, 1010, 25095, 1010, 1998, 20932, 2007, 2023, 7099, 10439, 2008, 2017, 2064, 6100, 1998, 2191, 2115, 2219, 1012, 3477, 5403, 3600, 3860, 2565, 18435, 9932, 5576, 2007, 1996, 3477, 5403, 3600, 3860, 2565, 1006, 4903, 2361, 1007, 18435, 9932, 5576, 1010, 18496, 2545, 2064, 4089, 1998, 28999, 17409, 2104, 18560, 6177, 2046, 2037, 18435, 3001, 1010, 4352, 2068, 2000, 23306, 2832, 19309, 1998, 5047, 1996, 5294, 3872, 3623, 1999, 5414, 5097, 1012, 5915, 3433, 7484, 4005, 2565, 1996, 5915, 3433, 7484, 4005, 2565, 12939, 3361, 2578, 9786, 2000, 2855, 3857, 1998, 10408, 1037, 28749, 3967, 2415, 9932, 1006, 10507, 4886, 1007, 7484, 4005, 2000, 6869, 2000, 4703, 2356, 3980, 2115, 6304, 2031, 3141, 2000, 2522, 17258, 1011, 2539, 2058, 11834, 1010, 2376, 1010, 1998, 2591, 6833, 1012, 2152, 2836, 24134, 6532, 3977, 2393, 2490, 2449, 6194, 2008, 5478, 3176, 24134, 3977, 1998, 25095, 9859, 2349, 2000, 3445, 5157, 1012, 9585, 6556, 2551, 9859, 2096, 8402, 5851, 1998, 10539, 3229, 2000, 5097, 1998, 3001, 1517, 2302, 4297, 3126, 4892, 3278, 3007, 10518, 1012, 2678, 9530, 7512, 2368, 6129, 2007, 8224, 3113, 7861, 11452, 1037, 6556, 14877, 2000, 2147, 18397, 1998, 9689, 4503, 7396, 6550, 2007, 2678, 9530, 7512, 2368, 6129, 2013, 8224, 1012, 3677, 7484, 7319, 2578, 2107, 2004, 3361, 4041, 1998, 2490, 2678, 20138, 4270, 2005, 6043, 2107, 2004, 2166, 5427, 1012, 23306, 6381, 3012, 16268, 1998, 4106, 3177, 6381, 3012, 7316, 1998, 16268, 1999, 3433, 2000, 5278, 3361, 6089, 2007, 8224, 6112, 1521, 1055, 8114, 2951, 2968, 1012, 2013, 8013, 1011, 3266, 21999, 6309, 2000, 6911, 5604, 1010, 8224, 6112, 2064, 11598, 3036, 1010, 12646, 1010, 1998, 10615, 9859, 2012, 3361, 2326, 4896, 1012, 5915, 3433, 7484, 4005, 2565, 3362, 2115, 2493, 1010, 4513, 1010, 1998, 3095, 2007, 23259, 1998, 8321, 2592, 3081, 1037, 5915, 3433, 7484, 3353, 1012, 1996, 4005, 2003, 3653, 1011, 4738, 2007, 2522, 17258, 1011, 2539, 6904, 4160, 2015, 1010, 2061, 2493, 1010, 4513, 1010, 1998, 3095, 4374, 6234, 1010, 4512, 2389, 6998, 2000, 2236, 3980, 3141, 2000, 2522, 17258, 1011, 2539, 1012, 12367, 3247, 2437, 2007, 25095, 1998, 12046, 2015, 2650, 6827, 2951, 1998, 2131, 2613, 1011, 2051, 7316, 2000, 2393, 2017, 6869, 2062, 6464, 1998, 2490, 6567, 1012, 5114, 20062, 2006, 14357, 1010, 10316, 1010, 1998, 3076, 8147, 1012, 2131, 1999, 3543, 1012, 5094, 3834, 2470, 2000, 2191, 2951, 2062, 4235, 2800, 1998, 7801, 2005, 6950, 1010, 2057, 3390, 1996, 2522, 17258, 1011, 2539, 2270, 2951, 13462, 2565, 2029, 12939, 2489, 23032, 2075, 1997, 2522, 17258, 1011, 2539, 3141, 2951, 13462, 2015, 1999, 2502, 4226, 2854, 1012, 10172, 2590, 14409, 2000, 8224, 3945, 6667, 1998, 5534, 2064, 3443, 8224, 8466, 2000, 10172, 2051, 1011, 7591, 2522, 17258, 1011, 2539, 14409, 1010, 2107, 2004, 2082, 8503, 2015, 1998, 2724, 16990, 2015, 1010, 3081, 8224, 3945, 1012, 5198, 2089, 2022, 2583, 2000, 2424, 2023, 2592, 1999, 1996, 3716, 5997, 2043, 2027, 3945, 2005, 1996, 5145, 2171, 1012, 9585, 6556, 2147, 2007, 7484, 2573, 12516, 2015, 7532, 2115, 4180, 2537, 1998, 2208, 2458, 2780, 2000, 2152, 1011, 6113, 1010, 12379, 1010, 16452, 2800, 5097, 2030, 7484, 2573, 12516, 2015, 2006, 8224, 6112, 1012, 2562, 5062, 2007, 8224, 3113, 2562, 2115, 3065, 2006, 1996, 2250, 1998, 3743, 2013, 5973, 2478, 8224, 3113, 1012, 8116, 4180, 16452, 3073, 3435, 1998, 10539, 11058, 6322, 2096, 8304, 19547, 1999, 8381, 1010, 2007, 2256, 16452, 5500, 6502, 1010, 4198, 2011, 1037, 2797, 1010, 4007, 1011, 4225, 2897, 1012, 5676, 3808, 23758, 6651, 2007, 9932, 4638, 2005, 3808, 23758, 6651, 2013, 3667, 1998, 3073, 6149, 3512, 5761, 1999, 2613, 2051, 2478, 4432, 9932, 5107, 10569, 1012, 22459, 2005, 29235, 2000, 3239, 16689, 1010, 2524, 6045, 1010, 1998, 3558, 4487, 12693, 6129, 25979, 2000, 5547, 10831, 1012, 5547, 3891, 2007, 3543, 3238, 10266, 2224, 8224, 3353, 2000, 2491, 2311, 3001, 1998, 11835, 2007, 10394, 2007, 2376, 10954, 1012, 5547, 1996, 18701, 3891, 3378, 2007, 7244, 15924, 1010, 6269, 1010, 1998, 12117, 1012, 9585, 3667, 2000, 20880, 9689, 1998, 19512, 21155, 5792, 5906, 2066, 8224, 3113, 2000, 3677, 1998, 5589, 1999, 7484, 3233, 1011, 2039, 6295, 1010, 27120, 2075, 1010, 1998, 2731, 1012, 8990, 20880, 2076, 3679, 25233, 2015, 1010, 8155, 11107, 1010, 1998, 2009, 29003, 6295, 1012, 2224, 9932, 2000, 17453, 22459, 2537, 6194, 11487, 3737, 1998, 23758, 6651, 3785, 2302, 1999, 1011, 2711, 5270, 2484, 1013, 1021, 1012, 5570, 3623, 10569, 10640, 2058, 2051, 2007, 3698, 4083, 1006, 19875, 1007, 1012, 8080, 6681, 2013, 5973, 2489, 3667, 2013, 23563, 6194, 1998, 2128, 1011, 23911, 3667, 2000, 3292, 2094, 3703, 1012, 19512, 8080, 6681, 5973, 1999, 1996, 2088, 1998, 5114, 20062, 1999, 2836, 1998, 24923, 5328, 1012, 23569, 27605, 4371, 2009, 4219, 1998, 5547, 5366, 12919, 3361, 2015, 2007, 3465, 1011, 10995, 2013, 2715, 6026, 6502, 1998, 8161, 2009, 3465, 1012, 2057, 2064, 2147, 2007, 2017, 2000, 3857, 1037, 6378, 2005, 8161, 5366, 2096, 9529, 2005, 1996, 3791, 1997, 2115, 3029, 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, 1, 1, 1, 1, 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 ]
[ 101, 1523, 27565, 1006, 2160, 14399, 8386, 1007, 1524, 2011, 5616, 3389, 9004, 2102, 4576, 6063, 2485, 3504, 1024, 1000, 27565, 1006, 2160, 14399, 8386, 1000, 2011, 5616, 3389, 9004, 2102, 4576, 6063, 11562, 2006, 1996, 8612, 2917, 2000, 4952, 2000, 2019, 5746, 6412, 1997, 1996, 2956, 2147, 1012, 11562, 2006, 1996, 24051, 6462, 2000, 3191, 1996, 6412, 1012, 1996, 27565, 2003, 4659, 2312, 1998, 2019, 29238, 2675, 4338, 9854, 2074, 2058, 2416, 1998, 1037, 2431, 2519, 2006, 2169, 2217, 1012, 2009, 2038, 1037, 5931, 1011, 3013, 13443, 1998, 2003, 3833, 2007, 2187, 7840, 2030, 15121, 4109, 1997, 2109, 8313, 1012, 1999, 1996, 2688, 1010, 2009, 3658, 4257, 1010, 2659, 2000, 1996, 2598, 1010, 2061, 7193, 2298, 2091, 2012, 2009, 2013, 2682, 1012, 1996, 27565, 2003, 2081, 2039, 1997, 6910, 28667, 23395, 2015, 2008, 12685, 1996, 6645, 1998, 2147, 2037, 2126, 9530, 22461, 3973, 2041, 2013, 1996, 2415, 1012, 2087, 1997, 1996, 10806, 5433, 2024, 27423, 6910, 1010, 3272, 2005, 2028, 2146, 2028, 2012, 1996, 3953, 3675, 1010, 2029, 2003, 1037, 26488, 2081, 2039, 1997, 11034, 5061, 3210, 1998, 2422, 2630, 14320, 1012, 2023, 26488, 28667, 23395, 2003, 2081, 1997, 2039, 1997, 2176, 4109, 1998, 7367, 7962, 2362, 1010, 4526, 28868, 1999, 1996, 5418, 1998, 1996, 5997, 2004, 1037, 2878, 1012, 1996, 3588, 2093, 7926, 1997, 1996, 27565, 2024, 2169, 7732, 2007, 1037, 5024, 3609, 1024, 3212, 2012, 1996, 2327, 1010, 2390, 2665, 2091, 1996, 2157, 1010, 1998, 3897, 2091, 1996, 2187, 1012, 2012, 1996, 2415, 1997, 1996, 27565, 2003, 1037, 2422, 2630, 2675, 1010, 2029, 4240, 2004, 1996, 2391, 2105, 2029, 2060, 8313, 14320, 1998, 28667, 23395, 2015, 2024, 3833, 1012, 1037, 5024, 22222, 2675, 1997, 8313, 20626, 2023, 2630, 2415, 1012, 2682, 1998, 2917, 1996, 22222, 2024, 3756, 6557, 12970, 1012, 5716, 1996, 2353, 9530, 22461, 6741, 2682, 1996, 3756, 12970, 2024, 18237, 1011, 6910, 9320, 1012, 2000, 1996, 2157, 1998, 2187, 1997, 1996, 22222, 2675, 2024, 2601, 26762, 12970, 1012, 5132, 2024, 1996, 2087, 4069, 6087, 1010, 2007, 2195, 13178, 1997, 26762, 1998, 9442, 5132, 2556, 1012, 2023, 12612, 1997, 25123, 3544, 2153, 1999, 6058, 3033, 1997, 1996, 3452, 9530, 22461, 2675, 5418, 1012, 2823, 2027, 3693, 2060, 3609, 9320, 2012, 1996, 8413, 1010, 4526, 1037, 10714, 2433, 1999, 1996, 3356, 2187, 1012, 6974, 2195, 5664, 6087, 2024, 26035, 2098, 2362, 2000, 2433, 1037, 2309, 2146, 10806, 5997, 1012, 1996, 8313, 4109, 1010, 2295, 2027, 2298, 10806, 1010, 2024, 2025, 3013, 1999, 6669, 3442, 3210, 1012, 4496, 2024, 1996, 4109, 2467, 2766, 4389, 1998, 4257, 1012, 1996, 7926, 1997, 1996, 2972, 27565, 2024, 17837, 2036, 2007, 1996, 2187, 3341, 4815, 2646, 1996, 2415, 1010, 5716, 1037, 6260, 3311, 1012, 1996, 2327, 1010, 2157, 1010, 1998, 3953, 7926, 2024, 3442, 2121, 1012, 1037, 5710, 2317, 26035, 2075, 1999, 1037, 3937, 2770, 26035, 5829, 3952, 23190, 2802, 1996, 27565, 1012, 1996, 25343, 8137, 1999, 3091, 1998, 2079, 2025, 2433, 6669, 3442, 3210, 1010, 3228, 1996, 27565, 1037, 2489, 2192, 3466, 1012, 1999, 3760, 28667, 23395, 2015, 2012, 1996, 2327, 2157, 1998, 2327, 2187, 8413, 1010, 1996, 25343, 2693, 20018, 1012, 1996, 3896, 1997, 2051, 1998, 4929, 2024, 5793, 2006, 2023, 3538, 1010, 2004, 2045, 2024, 3082, 23277, 28562, 1998, 7516, 1997, 12532, 10626, 3370, 1010, 2029, 2024, 2926, 6835, 2006, 1996, 9904, 6087, 2073, 1996, 13675, 19500, 2015, 2031, 2468, 9442, 1012, 1999, 2070, 3182, 1010, 1996, 9332, 8313, 2090, 9320, 2029, 2001, 6999, 2104, 2038, 2272, 25757, 1012, 2169, 2051, 1045, 2298, 2012, 2023, 27565, 1045, 2215, 2000, 6865, 2009, 2006, 1037, 2813, 2007, 1996, 14182, 3332, 1011, 6090, 2063, 8313, 2770, 20018, 2000, 1996, 13972, 1521, 1055, 2187, 1012, 1999, 2023, 2597, 1010, 1996, 3452, 3746, 23408, 11045, 2015, 1037, 4206, 1010, 4867, 2311, 4077, 2030, 12549, 1037, 14965, 3609, 27396, 16021, 2378, 24133, 3712, 1010, 2455, 1010, 2300, 1010, 5318, 1025, 20639, 2015, 1998, 12113, 2411, 2179, 2012, 1996, 18414, 18413, 9331, 19234, 1997, 2019, 3923, 3252, 1998, 1037, 2312, 2103, 2380, 1012, 1999, 2026, 2568, 1045, 2031, 4159, 1996, 27565, 1010, 1523, 28774, 26692, 2099, 1524, 2005, 4436, 2081, 24509, 2917, 1024, 1996, 5197, 1997, 28774, 26692, 2099, 2000, 1996, 2413, 25774, 1998, 2969, 1011, 3746, 2003, 3697, 2000, 2058, 4355, 21499, 1010, 2138, 2009, 2003, 1037, 4145, 2471, 4895, 6494, 3619, 20051, 3085, 1010, 11566, 5800, 1010, 4633, 1010, 2555, 1998, 21951, 1997, 21452, 1010, 1997, 10218, 2791, 1998, 3327, 3012, 1517, 1997, 6147, 1010, 1998, 2188, 1517, 1999, 5688, 2000, 3795, 3550, 3688, 2881, 2000, 5510, 1996, 2168, 1529, 7112, 9413, 25023, 2121, 1010, 2047, 2259, 2335, 1010, 15476, 2861, 1010, 2286, 1516, 3021, 12164, 1010, 2472, 1997, 6259, 4195, 2012, 1996, 2167, 3792, 2817, 2415, 1010, 1037, 2451, 2415, 2005, 2493, 2006, 4895, 2278, 1011, 4970, 2940, 1521, 1055, 3721, 1012, 2002, 2003, 1037, 2280, 9220, 1998, 18568, 8068, 1012, 5616, 3389, 9004, 2102, 4576, 6063, 1010, 2137, 1010, 4662, 1011, 2526, 1010, 27565, 1006, 2160, 14399, 8386, 1007, 1010, 1039, 1012, 3359, 1010, 2179, 8416, 15966, 6557, 9640, 1010, 3770, 1015, 1013, 1018, 1060, 6255, 1015, 1013, 1016, 1999, 1012, 1006, 18540, 1012, 1022, 1060, 20035, 1012, 1023, 4642, 1007, 1012, 9353, 26086, 4859, 2396, 2688, 1010, 5592, 1997, 1996, 12098, 15361, 3074, 1998, 9353, 26086, 4859, 4636, 1010, 2230, 1012, 4720, 1012, 1016, 1012, 1999, 27565, 1006, 2160, 14399, 8386, 1007, 1010, 5616, 3389, 9004, 2102, 4576, 6063, 3594, 3609, 1010, 5418, 1010, 1998, 2240, 2000, 2344, 1037, 3074, 1997, 15121, 2015, 2046, 1037, 11865, 9077, 1011, 2066, 5107, 5512, 1012, 5262, 1010, 2802, 1996, 27565, 1010, 6063, 17993, 3787, 1010, 2021, 2169, 23318, 3397, 1037, 7263, 8386, 2013, 1996, 2434, 1012, 2005, 2742, 1010, 1996, 28653, 1010, 22222, 1010, 19804, 11261, 2102, 1010, 28799, 1010, 9781, 14156, 2630, 1010, 1998, 3212, 1011, 27604, 12970, 1997, 8313, 2008, 15821, 2087, 1997, 1996, 27565, 2991, 1999, 2019, 2471, 22243, 5418, 1012, 6063, 13536, 1996, 19804, 11261, 2102, 6167, 2682, 1996, 2430, 22222, 1998, 28653, 2675, 2007, 2028, 2917, 2009, 1517, 2021, 2059, 2016, 9909, 1037, 2353, 9876, 18247, 2917, 2008, 2028, 1025, 1999, 1037, 2714, 5450, 1010, 2016, 9005, 1037, 3819, 22222, 3482, 2105, 1996, 28653, 2675, 2012, 1996, 27565, 1521, 1055, 2415, 1010, 2021, 2059, 9909, 2019, 3176, 7471, 22222, 18247, 2006, 1996, 2187, 2217, 1997, 1996, 3746, 1012, 1037, 2235, 28667, 23395, 1010, 2028, 2240, 2205, 2659, 1010, 16222, 25377, 28064, 1996, 22243, 28799, 3210, 1010, 2004, 2515, 1037, 28653, 28667, 23395, 2028, 2240, 2205, 2152, 1012, 1996, 9781, 14156, 2630, 1521, 1055, 3940, 2003, 3621, 2205, 2601, 1998, 2038, 2042, 20931, 2006, 2049, 2217, 1012, 1996, 2430, 3787, 1997, 1996, 5512, 2128, 29098, 14644, 2021, 1010, 2004, 1999, 1037, 11865, 9077, 1010, 2027, 3711, 1999, 2019, 8776, 2110, 1012, 6063, 4247, 2023, 16226, 2011, 2164, 1037, 2417, 1998, 2630, 26488, 5418, 2012, 1996, 3953, 1997, 2014, 27565, 1012, 2034, 1010, 1996, 2630, 14320, 5129, 2011, 2417, 3210, 1999, 1996, 6140, 9052, 1996, 28653, 2675, 5129, 2011, 22222, 8313, 2008, 29532, 1996, 27565, 1521, 1055, 2430, 6019, 1012, 9308, 1010, 1996, 26488, 5418, 1517, 2081, 1997, 1037, 2186, 1997, 9876, 1998, 7471, 3210, 27294, 2007, 5024, 14320, 1517, 7604, 1996, 2236, 5418, 1517, 1037, 2186, 1997, 9876, 1998, 7471, 12970, 1997, 8313, 2872, 2105, 1037, 2675, 1517, 1997, 1996, 27565, 1012, 2320, 2153, 1010, 6063, 17993, 1010, 2664, 21743, 1010, 2019, 6827, 5783, 1997, 2014, 5512, 1012, 2035, 11865, 22967, 5383, 1037, 8386, 2006, 1037, 4323, 1010, 2021, 2035, 11865, 22967, 2036, 5383, 1037, 3563, 8531, 2008, 4490, 2004, 1037, 2083, 2240, 1999, 1037, 3538, 1012, 6063, 1010, 2205, 1010, 16803, 2006, 2083, 3210, 2000, 7532, 2014, 7060, 2362, 1010, 2348, 2014, 2083, 3210, 2024, 18204, 3924, 1012, 1999, 2116, 1997, 1996, 20277, 1521, 1055, 8815, 27565, 2015, 1010, 2005, 2742, 1010, 1996, 27565, 2545, 2224, 9844, 1010, 2030, 2012, 2560, 2625, 1011, 5710, 1010, 11689, 2005, 2037, 27565, 2075, 25343, 1012, 6063, 1010, 2006, 1996, 2060, 2192, 1010, 17552, 2015, 2014, 27565, 2075, 25343, 1999, 2317, 1010, 1037, 3609, 2008, 4832, 2041, 2114, 1996, 3212, 1998, 22222, 5433, 1997, 2014, 3538, 1012, 1999, 2725, 2061, 1010, 6063, 9891, 3086, 2000, 1996, 2755, 2008, 1996, 4109, 1997, 2014, 27565, 2024, 4198, 1012, 2014, 25343, 2191, 1996, 6910, 25123, 2046, 2028, 8416, 1012, 1516, 17595, 3771, 5232, 1010, 4619, 3076, 1999, 2394, 1998, 12596, 3906, 1010, 4895, 2278, 1011, 4970, 2940, 2054, 11269, 2026, 3239, 2034, 2003, 2008, 2023, 27565, 2003, 2328, 2006, 1037, 3151, 5418, 2021, 1996, 27565, 2121, 2347, 1521, 1056, 4452, 2000, 17727, 12298, 5562, 1012, 2005, 6013, 1010, 2006, 1996, 2353, 7471, 5216, 1997, 12970, 1006, 2187, 1011, 2192, 2217, 1007, 1010, 1996, 27565, 2121, 2794, 1037, 5396, 2630, 6167, 2008, 1521, 1055, 3668, 2011, 1037, 2422, 2630, 2675, 1012, 2023, 3538, 2094, 6167, 3475, 1521, 1056, 22243, 2006, 1996, 2157, 2217, 1997, 1996, 27565, 1025, 1999, 2755, 1010, 2012, 2023, 2391, 1999, 1996, 27565, 1521, 1055, 2810, 1010, 1996, 27565, 2121, 2038, 2005, 3736, 7520, 5903, 22556, 1516, 2630, 5259, 2075, 2630, 1010, 4376, 1011, 4960, 6167, 5259, 2075, 4376, 1011, 4960, 6167, 1010, 4385, 1012, 2096, 1996, 27565, 2003, 3833, 3262, 2041, 1997, 28587, 1011, 20639, 2094, 25123, 1010, 2045, 2024, 6919, 4408, 5312, 2802, 1012, 1996, 3953, 2417, 1998, 2317, 18353, 5603, 3286, 1011, 2066, 6167, 1006, 2029, 3504, 2000, 2022, 2176, 4109, 26035, 2098, 2362, 1998, 2003, 1996, 2069, 2224, 1997, 1037, 6140, 2182, 1007, 2003, 2019, 2926, 11341, 1998, 26380, 3601, 1012, 1996, 2146, 3897, 6167, 2183, 2091, 1996, 2187, 2217, 2003, 2066, 1037, 11996, 2030, 1037, 2314, 1012, 2009, 5829, 11543, 2084, 1996, 27565, 1521, 1055, 2060, 3787, 1012, 1996, 27565, 2075, 2993, 1516, 3621, 16517, 3170, 9876, 3210, 26035, 2098, 1999, 1037, 2422, 1011, 6910, 11689, 1516, 9909, 14902, 2004, 2092, 2004, 6348, 1010, 4714, 10299, 1013, 17530, 1997, 2422, 3048, 1999, 5975, 2408, 1996, 27565, 1521, 1055, 3302, 1012, 2023, 27565, 3849, 2000, 2033, 5171, 1997, 1996, 20277, 1521, 1055, 8815, 27565, 2015, 2008, 1045, 2113, 1010, 2029, 7166, 2646, 1037, 4666, 1997, 3151, 1998, 19641, 3787, 2306, 1996, 2168, 27565, 1010, 2004, 2092, 2004, 8313, 9804, 2008, 4666, 1998, 2674, 1996, 6742, 1998, 1996, 18378, 1012, 1516, 10360, 1051, 1521, 11950, 2243, 23268, 5349, 2003, 1037, 9296, 1010, 13316, 1011, 2241, 27565, 2121, 1998, 3213, 1998, 1996, 2783, 2604, 2343, 1997, 1996, 27565, 4707, 1010, 1037, 2120, 14495, 2008, 4240, 2000, 6254, 1010, 7969, 1998, 8439, 1996, 3441, 1997, 27565, 2015, 1998, 27565, 11153, 2408, 1996, 2406, 2588, 2559, 2012, 27565, 1006, 2160, 14399, 8386, 1007, 2009, 3202, 3934, 1037, 3110, 1997, 3140, 7216, 1012, 1996, 18414, 18413, 9331, 19234, 1997, 1996, 8699, 13178, 1998, 1996, 4408, 9543, 3215, 3443, 2019, 12465, 2008, 15849, 16102, 15568, 1996, 5053, 1997, 1996, 8416, 2993, 1012, 1996, 4638, 6850, 5418, 2012, 1996, 3953, 1997, 1996, 27565, 2071, 2552, 2004, 1037, 15918, 2391, 1010, 2021, 1996, 2004, 24335, 12589, 2389, 6268, 1997, 1996, 10466, 2749, 1996, 7193, 2000, 3579, 2006, 1996, 2630, 25577, 2675, 1012, 2178, 2518, 2008, 2071, 2428, 4009, 1037, 13972, 2046, 1996, 5512, 1997, 2023, 27565, 2003, 1996, 2116, 29343, 2008, 2024, 2716, 2362, 1024, 2045, 2003, 5744, 1998, 2045, 2003, 5526, 2094, 8313, 2073, 2070, 2031, 2195, 25180, 2015, 1998, 2060, 3033, 2123, 1521, 1056, 1012, 2138, 2023, 3538, 2001, 2580, 2007, 22207, 4475, 1010, 7193, 2064, 7868, 2008, 2023, 3168, 1997, 8488, 2001, 3800, 3993, 2029, 1010, 2073, 1045, 2272, 2013, 1010, 17874, 5167, 1998, 2437, 2068, 2046, 2396, 2003, 2200, 2590, 1998, 2038, 2042, 9051, 2005, 5109, 1012, 4821, 1010, 1045, 2156, 1037, 27565, 2008, 2619, 9227, 2011, 2635, 2195, 2367, 8313, 4109, 1998, 22746, 2068, 2362, 28814, 1998, 23972, 2000, 2191, 1037, 4861, 1998, 4906, 1999, 2007, 1996, 2806, 1997, 2396, 2183, 2105, 2012, 2008, 2051, 1012, 1045, 2036, 2156, 1037, 27565, 2008, 2001, 22207, 1998, 2081, 2047, 1012, 1516, 14139, 6178, 4502, 1010, 2396, 3836, 1999, 15842, 1010, 13316, 1011, 5616, 3389, 9004, 2102, 4576, 6063, 2001, 1037, 2266, 1997, 1996, 20277, 1521, 1055, 8815, 27565, 2545, 1010, 1037, 3541, 2304, 2451, 1999, 6041, 1012, 2087, 1997, 1996, 2111, 2542, 2045, 2024, 8481, 1997, 7179, 1012, 2129, 2515, 2023, 3716, 4254, 2129, 2017, 17841, 2023, 27565, 1029, 1011, 6964, 1010, 20277, 1521, 1055, 8815, 27565, 2015, 2020, 2081, 1998, 2109, 2011, 1996, 27565, 2545, 1998, 2037, 2945, 1012, 1999, 2054, 3971, 2515, 1996, 4538, 1998, 4653, 1997, 2122, 2573, 11477, 2037 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2053, 3688, 1999, 1996, 11122, 28861, 2015, 1999, 20264, 1004, 8626, 2024, 4225, 2011, 2037, 13497, 1010, 2029, 2024, 4050, 2060, 11108, 2135, 9552, 2030, 11265, 8569, 15534, 27668, 3995, 5104, 1012, 2021, 2054, 2065, 1996, 3276, 2090, 1037, 9161, 1998, 2049, 28861, 2001, 2242, 2062, 10305, 1029, 3384, 25308, 2399, 1521, 17600, 28861, 1010, 1037, 13921, 1997, 1996, 2465, 2005, 1040, 1004, 1040, 3587, 3179, 1010, 17469, 2023, 18111, 1010, 27696, 1037, 6297, 25490, 3005, 2453, 3310, 2013, 6274, 1037, 8687, 6492, 1012, 2292, 1521, 1055, 8849, 1996, 16371, 26755, 1997, 2023, 2465, 2083, 1037, 7099, 2839, 1010, 11928, 24805, 10401, 7946, 2232, 1012, 1006, 2035, 3408, 1998, 8474, 2590, 2000, 1996, 17600, 28861, 3513, 2097, 2022, 7782, 2098, 1996, 2034, 2051, 2027, 3711, 1012, 1007, 11928, 24805, 1521, 1055, 1037, 2266, 1997, 2019, 13888, 1011, 13160, 1040, 9028, 8159, 6338, 1010, 1998, 2003, 3214, 2000, 13366, 2100, 1996, 12991, 13874, 2008, 29281, 2024, 2035, 3137, 5154, 2040, 2444, 5230, 1012, 1996, 10401, 7946, 2232, 6338, 1999, 3327, 2003, 8228, 2005, 4182, 2075, 28671, 1010, 7247, 18612, 1998, 17454, 2015, 2040, 18547, 2037, 3997, 2013, 13582, 9552, 1012, 2007, 2023, 2839, 4145, 1010, 2009, 3084, 3168, 2008, 11928, 24805, 1521, 1055, 9161, 2323, 2022, 1037, 2300, 1011, 23120, 2121, 1012, 1996, 17600, 28861, 4107, 2176, 2825, 7329, 2005, 13497, 1010, 3479, 2349, 2000, 2037, 12144, 1999, 10661, 20792, 2105, 1996, 2088, 1012, 2122, 2421, 1996, 2522, 6692, 19646, 1010, 1996, 6708, 1010, 1996, 5202, 13170, 1998, 1996, 5202, 1012, 1996, 5202, 13170, 2003, 1996, 2190, 4906, 1010, 1998, 2085, 2009, 1521, 1055, 2051, 2000, 5630, 3251, 2023, 9161, 2323, 2707, 2004, 2019, 8288, 2030, 1037, 11300, 2989, 1012, 2292, 1521, 1055, 7868, 2008, 5202, 16489, 2024, 10193, 2427, 1010, 2007, 8350, 1998, 13433, 15395, 2869, 5933, 2068, 1998, 6575, 2005, 2037, 8813, 7570, 18117, 1012, 1996, 10401, 7946, 2232, 6338, 18227, 1996, 2427, 1010, 4703, 23659, 20673, 11533, 6763, 1998, 28805, 2075, 2068, 2127, 1996, 11300, 11227, 2024, 2214, 2438, 2000, 21713, 2094, 2005, 3209, 1012, 11928, 24805, 1010, 1999, 2060, 2616, 1010, 2097, 4088, 2014, 2729, 17904, 3260, 2004, 1996, 16167, 1997, 2019, 8288, 1012, 1996, 17600, 28861, 3513, 3749, 2367, 3415, 2005, 3494, 5834, 2006, 2029, 9161, 2027, 1521, 2310, 3479, 1010, 1998, 11928, 24805, 1521, 1055, 3601, 1997, 1037, 5202, 13170, 2465, 14144, 2014, 2004, 1037, 2784, 4094, 6697, 1012, 11928, 24805, 3415, 2014, 5202, 13170, 24296, 1010, 2044, 1996, 3376, 2630, 20682, 1997, 2049, 8288, 1012, 2016, 4627, 2007, 1996, 4207, 2740, 3754, 1010, 2029, 6970, 2102, 21924, 2015, 2014, 2166, 2007, 24296, 1521, 1055, 1012, 2151, 4053, 2008, 1996, 13170, 3138, 2097, 2036, 2022, 17303, 2588, 11928, 24805, 1010, 1998, 2065, 2016, 8289, 1010, 24296, 8289, 2004, 2092, 1012, 1006, 2006, 2008, 3602, 1010, 4022, 17600, 2015, 2323, 2036, 2022, 5204, 2008, 1996, 9161, 2003, 2019, 2981, 2108, 2007, 11038, 26319, 4758, 2011, 1996, 2208, 3040, 1010, 1998, 3475, 1521, 1056, 1037, 9004, 2000, 2344, 2105, 1999, 4337, 1012, 2005, 2216, 2040, 2215, 1037, 6492, 2027, 2064, 3495, 2491, 1010, 4638, 2041, 1996, 6841, 7452, 1012, 1007, 1996, 10612, 2303, 3754, 2003, 17398, 2588, 11928, 24805, 2012, 2504, 1015, 1012, 2014, 4434, 2000, 24296, 2003, 2145, 3243, 5410, 1010, 2021, 2130, 1999, 2049, 4895, 12707, 7690, 2433, 2023, 13582, 5016, 1521, 1055, 2373, 10958, 9032, 4570, 2083, 2014, 2303, 1010, 28751, 2075, 2014, 3096, 1012, 2096, 2025, 4147, 8177, 1010, 11928, 24805, 1521, 1055, 8177, 2465, 19635, 2184, 1009, 2014, 14375, 3012, 16913, 18095, 1009, 2014, 25869, 2964, 2050, 16913, 18095, 1012, 11928, 24805, 12154, 3229, 2000, 3894, 2004, 2092, 1012, 1996, 6297, 10526, 2075, 3513, 2005, 17600, 28861, 2015, 2024, 4321, 15704, 2013, 3115, 3587, 3179, 3513, 1010, 2295, 4423, 6297, 7201, 2024, 2800, 5834, 2006, 1996, 9161, 1012, 1999, 11928, 24805, 1521, 1055, 2553, 1010, 2012, 2504, 1015, 2016, 2064, 3229, 1996, 9666, 6112, 1998, 3713, 2007, 4176, 11750, 1012, 2012, 2117, 2504, 1010, 11928, 24805, 6855, 2015, 2048, 17398, 1999, 19152, 2015, 1010, 2029, 3582, 1996, 2168, 3937, 3513, 2004, 1996, 3115, 28861, 1521, 1055, 3449, 13626, 20189, 1999, 19152, 2015, 1010, 2021, 2421, 2047, 1998, 25416, 14973, 19574, 7047, 2881, 2000, 4654, 6633, 28250, 1996, 5416, 2090, 28861, 1998, 9161, 1012, 1999, 11928, 24805, 1521, 1055, 2553, 1010, 2016, 1521, 2222, 2202, 2048, 1999, 19152, 2015, 2008, 5478, 1037, 5202, 13170, 9161, 1011, 13582, 16730, 1010, 2029, 3957, 2014, 1996, 4338, 2300, 2064, 24901, 2247, 2007, 1996, 3754, 2000, 3052, 11564, 1010, 1998, 24501, 18622, 4765, 5806, 1010, 2029, 3084, 1996, 6085, 4829, 2064, 24901, 2197, 2019, 3176, 2461, 1012, 1996, 9033, 20142, 1997, 4829, 2075, 2008, 11928, 24805, 9891, 1999, 1996, 2250, 2043, 2016, 23942, 6085, 4829, 2003, 2019, 18200, 2640, 2580, 2011, 1996, 10401, 7946, 2232, 6338, 2008, 1521, 1055, 15221, 14563, 1997, 1037, 13170, 5806, 1012, 11928, 24805, 12154, 2019, 18011, 23264, 2013, 2014, 4434, 2007, 24296, 1012, 2122, 2024, 25416, 14973, 19574, 4617, 1997, 1996, 3115, 28861, 1521, 1055, 14790, 23264, 2015, 1010, 1998, 11928, 24805, 2097, 2175, 2007, 18011, 6085, 1010, 2029, 4076, 1996, 2168, 3513, 2004, 1996, 14790, 1997, 1996, 6085, 1012, 2000, 10377, 1996, 10401, 7946, 2232, 6338, 2005, 15224, 1996, 2624, 6593, 3012, 1997, 1996, 4153, 1010, 5202, 16489, 2031, 5681, 12785, 1996, 29281, 2007, 4109, 1997, 2037, 10986, 1010, 2029, 2024, 2059, 2109, 2000, 3857, 9788, 4255, 1012, 2043, 11928, 24805, 24814, 2014, 3894, 6085, 1010, 2009, 1521, 2222, 3711, 2004, 1037, 14418, 15327, 4690, 1012, 2004, 2566, 3587, 3179, 3513, 1010, 11928, 24805, 2064, 4374, 2019, 3754, 3556, 7620, 2012, 2504, 1018, 2030, 2202, 1037, 8658, 1012, 2096, 2009, 1521, 1055, 2039, 2000, 2867, 1998, 2208, 5972, 2000, 5646, 2043, 2027, 2215, 2037, 9161, 2000, 11300, 1010, 2085, 3849, 2066, 1037, 2307, 2051, 2000, 2031, 24296, 4088, 24405, 18483, 2049, 5806, 999, 2004, 11928, 24805, 1521, 1055, 2718, 2685, 1010, 26293, 6781, 1998, 6297, 13646, 7457, 1010, 2016, 1521, 2222, 2036, 4374, 2178, 17398, 1999, 19152, 1011, 17727, 24847, 2094, 14974, 1010, 2029, 11082, 2014, 2886, 2007, 2014, 18011, 6085, 3807, 1012, 2023, 2003, 2036, 1037, 2307, 2504, 2000, 2031, 24296, 11300, 2013, 2049, 5806, 1012, 1996, 17600, 28861, 3513, 3749, 15690, 2005, 2129, 1996, 9161, 2453, 2298, 1998, 16582, 2004, 2009, 4269, 2023, 2754, 1997, 2166, 1010, 1998, 5202, 16489, 2024, 2649, 2004, 2525, 1996, 2946, 1997, 1037, 3899, 2043, 2027, 12636, 2013, 2037, 6763, 1012, 5291, 2006, 1996, 9161, 21864, 8024, 2795, 7657, 2008, 24296, 3138, 2307, 5165, 1999, 2358, 25377, 2075, 2105, 2169, 2851, 2000, 7683, 2049, 3456, 1998, 18564, 1010, 1998, 4473, 2814, 2000, 5589, 1999, 2023, 4023, 3024, 2008, 2027, 23150, 1996, 2168, 5750, 1012, 22825, 1996, 14742, 2535, 13068, 2075, 6903, 2073, 11928, 24805, 1998, 2014, 4397, 11300, 2098, 9161, 4685, 13272, 1998, 8660, 2990, 2015, 2006, 1996, 3509, 999, 2216, 13272, 6521, 2007, 24296, 2024, 3565, 4621, 1010, 2138, 2012, 2504, 1020, 1010, 11928, 24805, 4152, 5600, 2377, 1012, 2065, 2016, 1998, 2039, 2000, 2274, 5379, 11946, 5247, 2184, 2781, 2076, 1037, 2460, 2030, 2146, 2717, 2652, 2007, 24296, 1006, 3383, 5716, 1037, 26478, 2050, 2240, 2369, 1996, 5202, 13170, 2004, 2009, 2515, 2049, 2851, 11110, 1007, 1010, 2027, 2064, 5454, 2090, 5012, 2000, 14154, 11818, 13369, 1010, 14628, 2030, 18296, 2075, 4053, 2005, 1996, 2279, 1016, 2847, 1012, 2011, 2023, 2051, 1010, 11928, 24805, 2003, 4975, 2046, 1037, 9532, 28861, 2040, 2987, 1521, 1056, 2568, 2893, 2039, 2485, 1998, 3167, 2007, 2014, 14418, 15327, 4690, 1012, 1999, 2344, 2000, 2562, 2841, 1999, 1996, 4317, 1997, 4337, 1010, 2016, 1521, 2222, 2202, 4629, 5806, 2004, 2014, 2279, 17398, 1999, 19152, 1012, 2023, 4247, 2000, 3857, 2006, 1996, 6085, 4829, 2064, 24901, 1010, 4352, 11928, 24805, 2000, 8339, 4053, 2008, 1996, 2064, 24901, 26663, 2067, 2012, 2019, 17346, 1012, 2012, 2504, 1022, 1010, 11928, 24805, 4152, 2178, 3754, 3556, 7620, 2030, 1037, 8658, 1012, 2016, 7288, 2000, 3579, 2006, 16906, 2075, 2039, 2014, 25869, 2964, 2050, 1998, 4552, 7644, 1999, 2344, 2000, 2562, 2014, 28861, 6297, 4053, 2152, 2096, 3588, 2004, 7823, 2004, 1037, 13170, 1012, 11928, 24805, 1521, 1055, 4434, 2007, 24296, 4247, 3652, 1010, 1998, 2011, 2085, 1996, 3940, 2031, 11299, 2006, 2116, 7357, 2247, 1996, 3023, 1012, 2823, 24296, 2130, 11082, 11928, 24805, 4536, 10234, 2049, 5806, 1010, 2029, 2011, 2085, 2003, 1996, 3091, 1997, 1037, 2312, 3586, 1012, 14158, 24296, 1521, 1055, 2600, 1011, 2524, 5806, 2076, 2122, 9109, 18708, 2015, 11928, 24805, 2000, 5454, 22643, 5806, 2004, 2014, 2279, 17398, 1999, 19152, 1012, 2023, 23176, 2015, 2014, 6085, 4829, 2064, 24901, 2028, 2345, 2051, 1010, 5599, 2014, 3459, 2009, 2004, 2019, 6234, 4668, 3188, 2000, 2635, 4053, 2320, 2566, 2146, 2717, 1012, 2085, 1037, 2095, 2214, 1010, 24296, 2038, 5625, 22922, 1037, 5202, 13170, 1521, 1055, 11749, 3052, 5195, 1010, 1998, 11928, 24805, 2064, 2224, 5492, 3052, 2004, 2092, 999, 18654, 2075, 1996, 4153, 1521, 1055, 8111, 1999, 2014, 19739, 22592, 1010, 11928, 24805, 2064, 8479, 5743, 1037, 2382, 1011, 3329, 13171, 1997, 8040, 24657, 3070, 5460, 2008, 2097, 2486, 6716, 2000, 2191, 1037, 4552, 3828, 1010, 6114, 1019, 2094, 10790, 2543, 4053, 2006, 1037, 4945, 1998, 2431, 2008, 2006, 1037, 3112, 1012, 11928, 24805, 2064, 2069, 4685, 2023, 9788, 17519, 2320, 2566, 2146, 2717, 1010, 1037, 22718, 2008, 24296, 5681, 18381, 2015, 2014, 2055, 1012, 2588, 7294, 2504, 2340, 1010, 24296, 2190, 15568, 11928, 24805, 2007, 1037, 17477, 8115, 27975, 5351, 1011, 2504, 28861, 6297, 1012, 2144, 5202, 16489, 1010, 2066, 2035, 2852, 22684, 8713, 9552, 1010, 2024, 2124, 2000, 9958, 2060, 8687, 7329, 1010, 11928, 24805, 10229, 9530, 25243, 23864, 1012, 2004, 2016, 12271, 24296, 1999, 1996, 2300, 1010, 2016, 2064, 2655, 2588, 13582, 23864, 8633, 2000, 6509, 1999, 4337, 2011, 2635, 2006, 1996, 3596, 1997, 5016, 13323, 7361, 2072, 1010, 12004, 1998, 6359, 17967, 999, 11928, 24805, 2064, 5114, 2178, 3754, 3556, 7620, 2030, 8658, 2012, 2023, 2504, 1010, 2247, 2007, 1037, 4369, 17398, 1999, 19152, 1012, 2016, 11214, 25764, 8710, 1010, 2029, 11082, 2014, 3066, 4469, 4053, 2007, 2014, 18011, 6085, 5020, 2000, 2014, 25869, 2964, 2050, 16913, 18095, 1012, 2005, 2014, 2279, 17477, 8115, 27975, 1010, 11928, 24805, 6855, 2015, 1037, 5504, 1011, 2504, 28861, 6297, 1012, 5722, 2038, 2009, 2008, 5202, 16489, 2113, 3595, 27336, 2015, 2000, 1996, 19529, 4946, 1997, 2300, 1010, 1998, 2009, 1521, 1055, 2045, 2008, 2027, 5342, 1996, 2087, 9062, 5167, 1999, 2037, 21038, 2015, 1012, 11928, 24805, 1521, 1055, 4434, 2007, 24296, 2003, 2633, 2844, 2438, 2005, 2014, 9161, 2000, 7487, 2000, 2014, 2008, 2122, 9489, 2024, 2995, 1010, 1998, 2016, 12154, 1996, 9738, 4048, 6199, 6297, 1010, 4089, 5599, 2014, 10093, 13699, 11589, 2000, 1998, 2013, 1996, 28259, 8391, 1012, 24296, 2038, 2042, 1037, 9161, 2005, 3155, 1037, 2095, 1998, 1037, 2431, 1010, 1998, 2070, 1997, 1996, 6841, 1521, 1055, 26906, 2038, 7503, 2125, 2006, 11928, 24805, 1012, 2016, 12154, 2019, 10721, 2433, 1010, 1998, 2096, 2016, 1521, 1055, 9832, 2000, 5060, 2049, 3896, 2127, 5109, 2013, 2085, 1010, 2043, 2016, 2515, 4982, 2214, 1010, 2016, 2097, 2025, 9015, 2013, 1996, 25312, 20142, 3012, 2008, 2116, 9750, 2227, 1012, 2016, 2036, 2064, 1521, 1056, 2022, 4793, 8687, 2135, 1998, 4150, 11311, 2000, 1996, 2034, 2274, 3798, 1997, 1996, 15575, 4650, 1012, 11928, 24805, 12154, 9161, 1521, 1055, 8177, 2004, 2014, 2279, 17398, 1999, 19152, 1012, 2085, 1010, 2016, 2064, 3459, 17454, 8177, 2006, 2841, 2012, 2097, 1010, 1998, 1996, 8177, 7766, 2097, 3711, 2004, 13170, 10986, 1010, 1997, 2607, 999, 2016, 2036, 9878, 2015, 2019, 5893, 1011, 2504, 28861, 6297, 2005, 2014, 2353, 17477, 8115, 27975, 1010, 1998, 15867, 2373, 2773, 24646, 2078, 1012, 2119, 1997, 2122, 4813, 3613, 2000, 19852, 11928, 24805, 2046, 1037, 4951, 2100, 28861, 2040, 1521, 1055, 2025, 2055, 2000, 2292, 2151, 22277, 2015, 2131, 1996, 4530, 2006, 2593, 2014, 2030, 2014, 9161, 1012, 2012, 2504, 2385, 1010, 11928, 24805, 2064, 6855, 2014, 2117, 1011, 2000, 1011, 2197, 3754, 3556, 7620, 1010, 2021, 2016, 7288, 2000, 2202, 1037, 8658, 2612, 1010, 10549, 7823, 2005, 1037, 3835, 2718, 2391, 3623, 5020, 2000, 3807, 2014, 2504, 1010, 2030, 3590, 1012, 2012, 2023, 2391, 1010, 2016, 1521, 1055, 2035, 2055, 2437, 2841, 2004, 24501, 18622, 4765, 2004, 24296, 1012, 11928, 24805, 1521, 1055, 2345, 17477, 8115, 27975, 2003, 1037, 6280, 1011, 2504, 23324, 6297, 1010, 1998, 2016, 15867, 18921, 25807, 1010, 8110, 2014, 2568, 2007, 1996, 9866, 1997, 1996, 5202, 13170, 1998, 8550 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3017, 21025, 2545, 2818, 3273, 6730, 2189, 1998, 5512, 1999, 13022, 1010, 2762, 1010, 2044, 2008, 3273, 1048, 16363, 2144, 3301, 2007, 2195, 5089, 1010, 2164, 10396, 14161, 21939, 2213, 1012, 2002, 2499, 2004, 28806, 12881, 3836, 2012, 2745, 17838, 8040, 21886, 2063, 1010, 13022, 2013, 3196, 2127, 2297, 1012, 2044, 5131, 1996, 2147, 2012, 2082, 2362, 2007, 3235, 16858, 5054, 2002, 2631, 1996, 1000, 2248, 2621, 2914, 2005, 6018, 1048, 16363, 2652, 1000, 2012, 2156, 13821, 3317, 1010, 2762, 1010, 2029, 3138, 2173, 12142, 2144, 2760, 1012, 1996, 11046, 1997, 2542, 4309, 2011, 2929, 1998, 5505, 2003, 1996, 4568, 3395, 1997, 2010, 3315, 2147, 1999, 2116, 5352, 1010, 6759, 1998, 9265, 2005, 1996, 1048, 16363, 1999, 2035, 10906, 1012, 6294, 2638, 17655, 2003, 2189, 19294, 1999, 7469, 1012, 2016, 2001, 3273, 2034, 2189, 2007, 2858, 1998, 3682, 1010, 2059, 2016, 3273, 1999, 1996, 2489, 2189, 2082, 2005, 1017, 2086, 1012, 2016, 2626, 1996, 16417, 11263, 8093, 5575, 1999, 8695, 26947, 2545, 14756, 2140, 1012, 2800, 1999, 2887, 1998, 2446, 1012, 2016, 2631, 1998, 2001, 7589, 1997, 1996, 1048, 16363, 1011, 4032, 1999, 7469, 1012, 3957, 6759, 1006, 2116, 2335, 2007, 2053, 8569, 3683, 1045, 9759, 15319, 1007, 1998, 17239, 2005, 1996, 1048, 16363, 1999, 2900, 1010, 2859, 1998, 2148, 4420, 1012, 2085, 1999, 6090, 3207, 7712, 2051, 2016, 2003, 3015, 7565, 1998, 2219, 4109, 2005, 2014, 7391, 1012, 2198, 5215, 2003, 1037, 12731, 18514, 3836, 1010, 5455, 1998, 2189, 19294, 2542, 1998, 2551, 1999, 2451, 1999, 3163, 1012, 2002, 2038, 2042, 2652, 1048, 16363, 2005, 2062, 2084, 2753, 2086, 2383, 2949, 2010, 12731, 18514, 2495, 18014, 1999, 3409, 7100, 1998, 1017, 2095, 2189, 7242, 2731, 2104, 1039, 1011, 1037, 22066, 4059, 1998, 1057, 1012, 8040, 8093, 29099, 2121, 3875, 2551, 1998, 2652, 2189, 3605, 11974, 2005, 1048, 16363, 2002, 2038, 1037, 2844, 3037, 1999, 8402, 1996, 7372, 1997, 1048, 16363, 2652, 2000, 2421, 5693, 1998, 2189, 2025, 2788, 3378, 2007, 1048, 16363, 13646, 1012, 2198, 2777, 1996, 1048, 16363, 2004, 1037, 6951, 1999, 1037, 3409, 7100, 17261, 2188, 1999, 3355, 1012, 2002, 2038, 6576, 3273, 2189, 7242, 1998, 2038, 4036, 2189, 1999, 28806, 12881, 2816, 1999, 2660, 1012, 2002, 2211, 1037, 2476, 2004, 3948, 1048, 16363, 9256, 1999, 2786, 7118, 2083, 2642, 2885, 1998, 1999, 1996, 3915, 1010, 2660, 1010, 2900, 1010, 2148, 4420, 1998, 6629, 1012, 1999, 3522, 2086, 2002, 2985, 1037, 2843, 1997, 2051, 4252, 11806, 2135, 1999, 2116, 3655, 1999, 2859, 2074, 2004, 1996, 8797, 1999, 28806, 12881, 2495, 1998, 1048, 16363, 1011, 2652, 2001, 2006, 1996, 4125, 1012, 2198, 4247, 2000, 17202, 2047, 2189, 2005, 1048, 16363, 1998, 13621, 3151, 2189, 1997, 1996, 2329, 14195, 1998, 3163, 1012, 2002, 2003, 2145, 6828, 2007, 3948, 1998, 12317, 6759, 1998, 4252, 1012, 6294, 2078, 12178, 3669, 1010, 2141, 3999, 1999, 10204, 1010, 3273, 2012, 1996, 2981, 2189, 2082, 1010, 2499, 2012, 17784, 14586, 2002, 18409, 4887, 2004, 1037, 5455, 1999, 5792, 2007, 10396, 14161, 21939, 2213, 1012, 2116, 2086, 1997, 3450, 1999, 2591, 7242, 10381, 1999, 1996, 2752, 1997, 2729, 1010, 2189, 1010, 2731, 1998, 2582, 2495, 1012, 2012, 1996, 2168, 2051, 2189, 8220, 2012, 1037, 2785, 2121, 13444, 2368, 8705, 1010, 2012, 1037, 12731, 18514, 2495, 8705, 1998, 2012, 1037, 12794, 21264, 2082, 1012, 2144, 2760, 1999, 29050, 29068, 1999, 1996, 4889, 1998, 1996, 16360, 5644, 8010, 1997, 2102, 1996, 1048, 16363, 2897, 5288, 2362, 2007, 19887, 11721, 20058, 3334, 1012, 6577, 1999, 2536, 1048, 16363, 21528, 1998, 3265, 1048, 16363, 8220, 1012, 3282, 19466, 2094, 3854, 1047, 5134, 3282, 19466, 2094, 3854, 1047, 5134, 2003, 1037, 5455, 1010, 2551, 2005, 2582, 2458, 1997, 2189, 2041, 1997, 14405, 8093, 7361, 19137, 21281, 2144, 3245, 2083, 1996, 2470, 1997, 1996, 3315, 3787, 1010, 4223, 1010, 1998, 1999, 26703, 1037, 2047, 2785, 1997, 5164, 6602, 1012, 2016, 2405, 1996, 2338, 1000, 17151, 4682, 4783, 17924, 28076, 1000, 1006, 2005, 1996, 2293, 1997, 2189, 1007, 1012, 8038, 2884, 27739, 1010, 2189, 19294, 1010, 1048, 16363, 3836, 1010, 2132, 3208, 1997, 21368, 10654, 2050, 1011, 2019, 14405, 8093, 7361, 19137, 17926, 17261, 4800, 1011, 17972, 2415, 2005, 4456, 5022, 1999, 2524, 16093, 1010, 3956, 1012, 2016, 2003, 11566, 3267, 2817, 1006, 1038, 1012, 8040, 1999, 7366, 1007, 1998, 2189, 7242, 1006, 8196, 2013, 1056, 2140, 2615, 2731, 1998, 2019, 14405, 8093, 7361, 19137, 17926, 8196, 1997, 2840, 7242, 1007, 2000, 1037, 2542, 3921, 2005, 2189, 4023, 2007, 2336, 1999, 2035, 5535, 1010, 6001, 1998, 4456, 5022, 1012, 8038, 2884, 2038, 3273, 1048, 16363, 2652, 2007, 5796, 1012, 4698, 1011, 5032, 18669, 3070, 1998, 2001, 4252, 6001, 1998, 2336, 2144, 2807, 1012, 2016, 2003, 1996, 3910, 1010, 2362, 2007, 3680, 1012, 9388, 6856, 2063, 5003, 27595, 1010, 1997, 1996, 7151, 12849, 2140, 2034, 14405, 8093, 7361, 19137, 17926, 2189, 7242, 2731, 1999, 3956, 1012, 3273, 4556, 2858, 1998, 7042, 1999, 24743, 2144, 3546, 1012, 2973, 1999, 11779, 2005, 1023, 2706, 1999, 3355, 1011, 3301, 1012, 3230, 1996, 17677, 3367, 21041, 2819, 10424, 7416, 2063, 28076, 8040, 21886, 2063, 3261, 1013, 3196, 1013, 3172, 1012, 28806, 12881, 2465, 3836, 1998, 2189, 3836, 2013, 3118, 2127, 2526, 1012, 1999, 2010, 4013, 6460, 25509, 26613, 18259, 2271, 2002, 2003, 1037, 10367, 1005, 1055, 5009, 2306, 1996, 2455, 1997, 2614, 1012, 2002, 2003, 1037, 7538, 1011, 5009, 1999, 1996, 2983, 1997, 20075, 8553, 1010, 6602, 12235, 1998, 6602, 9338, 1012, 3235, 16858, 5054, 1010, 2587, 1996, 1000, 2981, 2189, 2082, 1000, 1999, 1996, 2220, 3150, 1005, 1055, 1010, 4083, 2007, 5089, 2004, 4776, 7849, 2666, 18669, 3070, 1010, 3449, 2135, 16595, 2121, 1010, 11968, 18347, 5092, 2213, 1010, 10396, 14161, 21939, 2213, 1010, 2843, 8167, 2128, 12083, 3489, 1010, 23171, 8040, 26378, 27235, 2099, 1998, 4496, 8296, 25292, 8043, 1012, 2144, 3106, 2002, 2499, 2004, 1037, 2189, 3836, 1998, 2013, 2494, 2000, 2355, 2012, 15966, 6528, 1013, 4776, 2078, 3836, 2731, 1012, 4113, 9162, 2012, 1996, 3836, 2731, 27884, 1998, 1996, 10424, 7416, 2063, 21929, 7898, 20269, 13022, 1012, 2144, 25682, 19795, 1996, 1000, 26947, 2121, 11687, 23692, 5856, 2243, 17151, 14454, 27584, 2290, 1000, 1999, 2762, 2362, 2007, 3017, 21025, 2545, 2818, 1010, 26236, 2378, 1011, 9610, 11106, 3389, 1998, 3282, 3527, 10270, 13970, 7295, 1012, 2266, 1997, 1996, 1048, 16363, 1011, 7327, 2854, 2705, 8029, 1011, 2177, 1000, 26613, 25394, 10143, 1011, 7241, 1000, 2007, 17388, 9617, 11624, 1998, 16858, 5003, 27595, 1012, 8657, 8040, 16102, 2063, 2001, 2141, 1999, 3380, 1999, 7469, 1010, 2762, 1012, 2189, 2038, 2467, 2042, 2019, 2590, 13711, 1997, 1996, 9518, 1998, 2112, 1997, 2166, 1010, 14564, 4823, 1010, 2652, 1996, 8928, 1010, 1996, 3682, 1998, 1996, 14601, 1011, 1048, 16363, 1012, 1996, 14354, 2001, 2000, 3857, 1037, 2958, 2007, 2189, 1010, 2061, 2008, 8907, 2064, 2202, 2173, 2426, 2111, 1012, 2013, 3055, 1011, 2639, 8657, 8040, 16102, 2063, 2973, 1998, 2499, 1999, 4896, 2005, 2591, 20900, 1999, 7014, 12005, 17560, 2226, 1010, 3956, 1998, 1999, 2474, 3589, 2063, 1010, 5288, 12399, 2063, 2016, 4342, 2000, 5009, 2189, 2967, 1998, 3443, 1037, 9062, 7224, 2007, 2189, 1012, 2016, 4342, 2000, 2377, 1996, 1048, 16363, 2007, 16106, 2013, 1996, 21146, 22414, 2102, 21176, 1012, 1999, 2826, 1011, 2857, 2016, 3273, 2012, 1996, 1005, 10424, 7416, 2063, 28076, 11624, 9307, 1005, 1010, 2919, 8945, 3363, 1012, 2639, 1011, 2526, 8657, 8040, 16102, 2063, 3273, 14085, 10976, 20166, 1998, 2363, 2014, 3014, 1999, 2526, 1012, 1999, 2494, 2016, 2318, 2000, 2147, 2004, 1037, 14085, 10976, 15069, 1999, 1047, 10483, 3334, 2571, 2818, 8151, 1010, 2762, 1010, 13648, 1996, 7814, 1997, 8907, 1012, 2016, 2209, 8928, 1999, 14741, 7519, 1010, 3262, 4556, 2189, 1012, 2144, 2418, 2016, 2038, 2973, 1998, 2499, 1999, 2002, 5714, 3103, 2638, 13871, 1010, 16595, 1010, 5288, 1012, 12657, 15960, 8743, 2001, 3107, 2000, 1996, 1048, 16363, 1999, 2960, 2076, 2014, 2913, 2000, 2468, 2019, 14405, 8093, 7361, 19137, 17926, 2189, 19294, 2012, 1996, 28076, 12399, 24065, 21823, 22842, 12098, 19205, 3215, 9153, 4674, 1999, 4068, 1012, 1999, 2541, 2016, 2001, 4778, 2000, 1996, 2149, 2000, 2522, 14876, 8630, 1996, 1005, 2079, 14772, 2082, 1997, 2189, 7242, 1005, 1012, 2016, 3268, 2747, 1999, 29530, 6396, 1998, 20487, 2014, 2051, 2090, 4252, 1998, 4488, 1006, 2006, 10145, 1998, 1048, 16363, 1007, 2004, 2092, 2004, 24497, 18622, 29336, 2075, 1998, 2731, 5194, 1010, 2073, 5962, 1010, 10984, 1010, 1037, 2514, 2005, 6348, 1010, 2004, 2092, 2004, 1996, 2396, 1997, 1005, 2108, 1999, 1996, 3739, 1005, 2003, 8053, 2590, 2004, 1999, 2652, 1996, 1048, 16363, 999, 2726, 26947, 14191, 2573, 2004, 1048, 16363, 3836, 2012, 1996, 28806, 12881, 8040, 14854, 10882, 4877, 9080, 1012, 3957, 8220, 1998, 9656, 2005, 2336, 2004, 2092, 2004, 6001, 1998, 10438, 1999, 2536, 21528, 1010, 1041, 1012, 1043, 1012, 7146, 2494, 1010, 2622, 1000, 1996, 2396, 1997, 11865, 9077, 1000, 1012, 5553, 21909, 8602, 7545, 2010, 3325, 2004, 1037, 28806, 12881, 3836, 1010, 2189, 19294, 1010, 1048, 16363, 3836, 1010, 7589, 1010, 15919, 5455, 1998, 1048, 16363, 7601, 7103, 4263, 1012, 2002, 3957, 8220, 1998, 9656, 1998, 4616, 1006, 3262, 2004, 1037, 14017, 2923, 1007, 2105, 1996, 2088, 1012, 2002, 2003, 1996, 3910, 1997, 8823, 14355, 3972, 2891, 1012, 2383, 4738, 2004, 1037, 2189, 8325, 3836, 1010, 2016, 2499, 1999, 2660, 1998, 1050, 1012, 3163, 2077, 3116, 1996, 1048, 16363, 1012, 2016, 4036, 1999, 1037, 21264, 1013, 28806, 12881, 2082, 2004, 2189, 8325, 2005, 2385, 2086, 1010, 1998, 2059, 2005, 2322, 1009, 2086, 2004, 1037, 2440, 2051, 1048, 16363, 2447, 1010, 3836, 1010, 1998, 2472, 1999, 8323, 1010, 29277, 2015, 1010, 3409, 7100, 4279, 1010, 2816, 1010, 1998, 2797, 8220, 1012, 2016, 2036, 7837, 2000, 2116, 3032, 4252, 1996, 1048, 16363, 1012, 2016, 2038, 2405, 2093, 1048, 16363, 2808, 2007, 3356, 9686, 2243, 2189, 1010, 1998, 3613, 3015, 2005, 1996, 1048, 16363, 1010, 4252, 1010, 1998, 4488, 1012, 2551, 2012, 2745, 2534, 12794, 21264, 2082, 2004, 1037, 7327, 2854, 2705, 23738, 1998, 7327, 2854, 2705, 8029, 19294, 1012, 4252, 2005, 2382, 2086, 1999, 1996, 3836, 2731, 7327, 2854, 2705, 8029, 1010, 1998, 2220, 2086, 2785, 2121, 13444, 2368, 2731, 7327, 2854, 2705, 8029, 1998, 1048, 16363, 2652, 1999, 12794, 21264, 2160, 2414, 1012, 3228, 5352, 2005, 2116, 2086, 1999, 1996, 2248, 1059, 16584, 19729, 3034, 1997, 1996, 21122, 2094, 4315, 28806, 12881, 18824, 2121, 27378, 2368, 1999, 29209, 1012, 3228, 5352, 1999, 5978, 1010, 21133, 1010, 4420, 1010, 6629, 1010, 20765, 7076, 1010, 2859, 1999, 7327, 2854, 2705, 8029, 1998, 2006, 4323, 1997, 3315, 2495, 1999, 1996, 2034, 2698, 2086, 1012, 2144, 10476, 2693, 2000, 2079, 12789, 2818, 1999, 5288, 1012, 3161, 2004, 1037, 7327, 2854, 2705, 23738, 1010, 7327, 2854, 2705, 8029, 19294, 1998, 1048, 16363, 2447, 1999, 1996, 2220, 2086, 2495, 1012, 2817, 2591, 7242, 1998, 2966, 21877, 2850, 3995, 6292, 1010, 1037, 2817, 1997, 7327, 2854, 2705, 8029, 1998, 2966, 7327, 2854, 2705, 8029, 1010, 3040, 1005, 1055, 2817, 1997, 17261, 7327, 2854, 2705, 8029, 2012, 5070, 2271, 21929, 7898, 20269, 1012, 4376, 2086, 1997, 4252, 3325, 1999, 28806, 12881, 2816, 1010, 2702, 2086, 1997, 10863, 12997, 20492, 9281, 1999, 8292, 5874, 1047, 6824, 14301, 1010, 7426, 2086, 1997, 2658, 3325, 1999, 2966, 7327, 2854, 2705, 8029, 1012, 2522, 1011, 3910, 1997, 7327, 2854, 2705, 4168, 2050, 1998, 1996, 2523, 2005, 14405, 8093, 7361, 19137, 17926, 2389, 4200, 1010, 2248, 10669, 1997, 17261, 7327, 2854, 2705, 8029, 1999, 1996, 19960, 2072, 2859, 2930, 2012, 23173, 2319, 1012, 7343, 11349, 18447, 17369, 2003, 2466, 23567, 2121, 1010, 3364, 1010, 3836, 1998, 8395, 3003, 1012, 2002, 2522, 1011, 2631, 1998, 2001, 1037, 2877, 3364, 1999, 1996, 3123, 3004, 2194, 4488, 8101, 1010, 1998, 1999, 1996, 9445, 5453, 4488, 21264, 1084, 2015, 6547, 16547, 1012, 2002, 2003, 8325, 1999, 1996, 4623, 1997, 21845, 1043, 28199, 1998, 4802, 15333, 13837, 21041, 2078, 19379, 2072, 1012, 2002, 5260, 1996, 8395, 2632, 5403, 8029, 1997, 3739, 1999, 2029, 2002, 16691, 1998, 4297, 5313, 16280, 2015, 2019, 16936, 2000, 1996, 3739, 1998, 2000, 2256, 2995, 3267, 2015, 1012, 10269, 1044, 14973, 8684, 7103, 1006, 12075, 19137, 3567, 1007, 10269, 1044, 14973, 8684, 7103, 1006, 12075, 19137, 3567, 1007, 2003, 1037, 28806, 12881, 3836, 1010, 19294, 1010, 1998, 1048, 16363, 3836, 1012, 2016, 3852, 2013, 1996, 8634, 11879, 1011, 1048, 16363, 1010, 2189, 2104, 1996, 3257, 1997, 1046, 1012, 21909, 8602, 1010, 1046, 1012, 18546, 25368, 1010, 1998, 1062, 1012, 1040, 14550, 4817, 1998, 2036, 3273, 2189, 7242, 2012, 1996, 21628, 2953, 2914, 2104, 12947, 1047, 19170, 2243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20075, 2595, 1045, 2629, 4391, 2549, 1012, 1020, 1013, 1019, 1012, 1014, 2241, 2006, 2570, 8013, 4391, 2307, 2886, 2043, 2109, 2006, 1055, 26148, 1011, 2009, 2428, 19566, 1996, 1000, 3769, 1000, 1997, 3769, 2189, 1055, 26148, 4165, 1012, 2009, 1005, 1055, 2036, 2200, 25634, 1011, 1037, 4606, 2043, 2478, 2006, 3846, 3391, 1012, 2043, 9651, 3751, 2858, 1999, 1996, 2627, 1045, 2467, 2179, 2870, 13423, 2000, 1996, 3068, 3115, 4003, 3695, 3593, 8790, 23025, 2005, 2008, 2828, 1997, 2147, 1012, 2174, 1010, 1045, 3728, 2234, 2408, 1996, 1045, 2629, 1998, 2179, 2008, 2009, 2515, 2673, 2008, 2060, 4003, 3695, 3593, 8790, 2515, 2428, 2092, 1010, 2021, 1996, 1045, 2629, 2515, 2009, 2172, 2488, 2007, 1996, 2157, 6075, 3433, 2013, 1996, 2707, 999, 1045, 1005, 2310, 2179, 2026, 2047, 2858, 23713, 23025, 1998, 1045, 2031, 1037, 2307, 10928, 2008, 2009, 2097, 2022, 2026, 2047, 1055, 26148, 6943, 23025, 1010, 2205, 1012, 1996, 20075, 2595, 1045, 2629, 2064, 5047, 2152, 11867, 2140, 1010, 2038, 4248, 3433, 1010, 2204, 2846, 1010, 1998, 2844, 2125, 1011, 8123, 13893, 1012, 5791, 2026, 2175, 1011, 2000, 6602, 23025, 2006, 2754, 1012, 7812, 2005, 2858, 9298, 2015, 1998, 1055, 26148, 1010, 1045, 1005, 2310, 2036, 2109, 2009, 2006, 6490, 2858, 1998, 17687, 2007, 2204, 3463, 1012, 2013, 4407, 1010, 6643, 1010, 3915, 1010, 3011, 2233, 2403, 1010, 2286, 27275, 4281, 1024, 3405, 1013, 6809, 3992, 1010, 21137, 2078, 2987, 1005, 1056, 5672, 2019, 15488, 28311, 1998, 2019, 15488, 28311, 2987, 1005, 1056, 5672, 2019, 1045, 2629, 2072, 2031, 2042, 1037, 2658, 6809, 1998, 3405, 3992, 2012, 2195, 2367, 2189, 1998, 3743, 4835, 2058, 1996, 2086, 1010, 2061, 1997, 2522, 22573, 1045, 2031, 2026, 2219, 2188, 2996, 1012, 1045, 2572, 2467, 4994, 6145, 1998, 7846, 13599, 1996, 15488, 28311, 2007, 1996, 1045, 2629, 1998, 2029, 1000, 2003, 2488, 1000, 1012, 1045, 2219, 2048, 1045, 2629, 1005, 1055, 1010, 2274, 15488, 28311, 1005, 1055, 1010, 1037, 8247, 5401, 1010, 2048, 1041, 21057, 2575, 1005, 1055, 1010, 1998, 2019, 1041, 16086, 2683, 1010, 2004, 2521, 2004, 4800, 5311, 20688, 8790, 15545, 2015, 1006, 2025, 10320, 5926, 1998, 3321, 23025, 2015, 1007, 1012, 2054, 2009, 2428, 3310, 2091, 2000, 2003, 2054, 2614, 1045, 2215, 1010, 1996, 6602, 1010, 1996, 23025, 11073, 1010, 1998, 1996, 2041, 6277, 6718, 1045, 1005, 1049, 6809, 2007, 1012, 2004, 2521, 2004, 3846, 1010, 1045, 2293, 1996, 1045, 2629, 2006, 1996, 3953, 1997, 1996, 1055, 26148, 2007, 1037, 5401, 2030, 2823, 1041, 21057, 2575, 2006, 1996, 2327, 1006, 5834, 2006, 1996, 6943, 8934, 1998, 1996, 2614, 1996, 7396, 4122, 1007, 1012, 1996, 1045, 2629, 2428, 19566, 1996, 2152, 2203, 25354, 2015, 1997, 1996, 1055, 26148, 1010, 2096, 1996, 15488, 28311, 19566, 1996, 2303, 1012, 1045, 2036, 2293, 1996, 1045, 2629, 2006, 2087, 14513, 3419, 2015, 1010, 2096, 2005, 2070, 3114, 1045, 2066, 1996, 15488, 28311, 2015, 2006, 1996, 2723, 3419, 2015, 1006, 2007, 2019, 9108, 29403, 2462, 2036, 2092, 2823, 1007, 1012, 1045, 1005, 2310, 2130, 2109, 1996, 1045, 2629, 2006, 1037, 2152, 6045, 2077, 1998, 2288, 1037, 3835, 2614, 1006, 2007, 1037, 14745, 24707, 12325, 2099, 2012, 1996, 2168, 3292, 2007, 1996, 1011, 16962, 11687, 2006, 1998, 2007, 8964, 2015, 1997, 2522, 22573, 1007, 1012, 2006, 2195, 2367, 2858, 23713, 2015, 1045, 1005, 2310, 1037, 1013, 2793, 1996, 1045, 2629, 1998, 1996, 15488, 28311, 1010, 2006, 1998, 2125, 8123, 1010, 1999, 2195, 2367, 3033, 1997, 1996, 5882, 13171, 1012, 2009, 2428, 9041, 2006, 1996, 5239, 1998, 1996, 23713, 1012, 2823, 1045, 2066, 1996, 1045, 2629, 2006, 13528, 26922, 2806, 23713, 2065, 2009, 1005, 1055, 11158, 2152, 1011, 2203, 1010, 1998, 2823, 1045, 2066, 1996, 5401, 2006, 26922, 23713, 2138, 1997, 1996, 3971, 1996, 5401, 3084, 2200, 4942, 2618, 2130, 19452, 20870, 2006, 1996, 2152, 2203, 1012, 2021, 2005, 1996, 2087, 2112, 1010, 1045, 2224, 1996, 1045, 2629, 2006, 2715, 23713, 2015, 2926, 2005, 2599, 2858, 1998, 1996, 15488, 28311, 2006, 13528, 2806, 23713, 2015, 1012, 2021, 1045, 2467, 2031, 2012, 2560, 1037, 10557, 23025, 1010, 1037, 24707, 12325, 2099, 1010, 1998, 1037, 2282, 23025, 2006, 1996, 23713, 2015, 2004, 2092, 1012, 1996, 1045, 2629, 2038, 2307, 3356, 3054, 2846, 2008, 12237, 4550, 1998, 3154, 1010, 1998, 2009, 2036, 2038, 1037, 2843, 1997, 2303, 1012, 1045, 2228, 2065, 2017, 2031, 1996, 2769, 1998, 2017, 1005, 2128, 3405, 2858, 1010, 3846, 1010, 2030, 3649, 1010, 2017, 2323, 2131, 2019, 1045, 2629, 1010, 2019, 15488, 28311, 1010, 1998, 2019, 1041, 21057, 2575, 1012, 1045, 2031, 2053, 3167, 5440, 2027, 2035, 2024, 2307, 5906, 1012, 1998, 2017, 2064, 1005, 1056, 2031, 2205, 2116, 4800, 5311, 20688, 8790, 23025, 2015, 1012, 2013, 11615, 1010, 12436, 1012, 3915, 2337, 1020, 1010, 2286, 27275, 4281, 1024, 2622, 2996, 3954, 1010, 3405, 3992, 1010, 5990, 8052, 15222, 2015, 23025, 4165, 2307, 1012, 2478, 2068, 6943, 23025, 2015, 1012, 2027, 5047, 1996, 3846, 2092, 1012, 2288, 2122, 2005, 6490, 7334, 2021, 2031, 2025, 2941, 2109, 1996, 2005, 2008, 2664, 1012, 2013, 7415, 2314, 1010, 2030, 2233, 2676, 1010, 2262, 27275, 4281, 1024, 4013, 5455, 1010, 2614, 3992, 3819, 2005, 8928, 10354, 3334, 6575, 2005, 2116, 2086, 2031, 2633, 2179, 1996, 3819, 8928, 23025, 2005, 1996, 2754, 1012, 2023, 23025, 2003, 2066, 1037, 5401, 2006, 26261, 29514, 1012, 1012, 1012, 1012, 1037, 2502, 3154, 2440, 22549, 2614, 2302, 1996, 2823, 15405, 4857, 8892, 2614, 1997, 1037, 5401, 1012, 2003, 2189, 2000, 2026, 5551, 2029, 3084, 2026, 2652, 2006, 1996, 2754, 2061, 2172, 2488, 1012, 2031, 2109, 2009, 2000, 23025, 1055, 26148, 2015, 2036, 1998, 2097, 2196, 2224, 1037, 5401, 2153, 1012, 2013, 2430, 1010, 24098, 2254, 2382, 1010, 2262, 27275, 4281, 1024, 2444, 2614, 1010, 2316, 1010, 2444, 3405, 1012, 2307, 23025, 1012, 1045, 2224, 2023, 2000, 23025, 2858, 9298, 2015, 1010, 1055, 26148, 1010, 2130, 2109, 2009, 2004, 8964, 2015, 2077, 1012, 1999, 1037, 18392, 1010, 1045, 2031, 2109, 2009, 2004, 1037, 5926, 23025, 1012, 2004, 2092, 1012, 2009, 2573, 2005, 3492, 2172, 2673, 1012, 1045, 2031, 2144, 7007, 2125, 1010, 2030, 2853, 2035, 1997, 2026, 5401, 1005, 1055, 1010, 1998, 2224, 1045, 2629, 1005, 1055, 1012, 1045, 2293, 2023, 23025, 999, 999, 2281, 2654, 1010, 2249, 27275, 4281, 1024, 2488, 2084, 1037, 5401, 7712, 2075, 1037, 2858, 9298, 2007, 2023, 2097, 2191, 2017, 2224, 2115, 15488, 5401, 2004, 1037, 2067, 2039, 1012, 2053, 16644, 1010, 2009, 1005, 1055, 2008, 2172, 2488, 1012, 2200, 2440, 1998, 3154, 9391, 1012, 4606, 1010, 2009, 1005, 1055, 7820, 2029, 3310, 1999, 18801, 2065, 2017, 2224, 1037, 9298, 6099, 1012, 2025, 2469, 2129, 2009, 2573, 2006, 2955, 1012, 1037, 2614, 3124, 2012, 2277, 4122, 2033, 2000, 4965, 1037, 3232, 2062, 2005, 3846, 1010, 4385, 1012, 2281, 2385, 1010, 2249, 27275, 4281, 1024, 2307, 2006, 1055, 26148, 2030, 2858, 23713, 5332, 3728, 3856, 2039, 1996, 20075, 2595, 1040, 2361, 1019, 2050, 8934, 1998, 2001, 15261, 2012, 1996, 3737, 1997, 1996, 23025, 2015, 1012, 2023, 2573, 2307, 2006, 1055, 16118, 1012, 1045, 9544, 2009, 2000, 1037, 15488, 28311, 1012, 2036, 2573, 2307, 2006, 2858, 23713, 2015, 1012, 2144, 1045, 1005, 2310, 2109, 2009, 1999, 2771, 6834, 12991, 9353, 14142, 2015, 2007, 2019, 20075, 2595, 1045, 2629, 1998, 2019, 15488, 28311, 1998, 2320, 2153, 1045, 6871, 1996, 4309, 1997, 1996, 20075, 2595, 1045, 2629, 2061, 2172, 2061, 2008, 1045, 1005, 1049, 5791, 6069, 2022, 8130, 2039, 1037, 2261, 2062, 1997, 2122, 1012, 2013, 20635, 1011, 23189, 6643, 2281, 2321, 1010, 2249, 27275, 4281, 1024, 4013, 21137, 2078, 8283, 2296, 7109, 5455, 3791, 2028, 14321, 2319, 1010, 8790, 1998, 12689, 1012, 2026, 18454, 2890, 5401, 1998, 5388, 1005, 1055, 2071, 2196, 2079, 2054, 2122, 2031, 2589, 2005, 2026, 2291, 1012, 1996, 3068, 3115, 2038, 2042, 2139, 1011, 6106, 2094, 1012, 1045, 2038, 2999, 2026, 6643, 2291, 8241, 2389, 2335, 3241, 2008, 2001, 1996, 3291, 1012, 3984, 2054, 1029, 2009, 2001, 1996, 23025, 2015, 1012, 2077, 2017, 15697, 1999, 2047, 3941, 3046, 1037, 2275, 1997, 1045, 2629, 1005, 1055, 2013, 4203, 6437, 1010, 6187, 2281, 1022, 1010, 2249, 27275, 4281, 1024, 2334, 4013, 5455, 1998, 3405, 17792, 2923, 7200, 2166, 2067, 2046, 2115, 1055, 26148, 10128, 2017, 2228, 2019, 15488, 28311, 4165, 2204, 2006, 1055, 26148, 1010, 2017, 1005, 2128, 2157, 1012, 1012, 1012, 2021, 2040, 4122, 2000, 7392, 2005, 2204, 2043, 2017, 2064, 2131, 2307, 999, 15121, 2008, 15488, 28311, 1998, 3046, 2019, 20075, 2595, 1045, 2629, 2612, 1998, 2963, 1996, 2166, 1998, 3739, 2272, 2067, 2046, 2115, 3846, 1012, 4606, 2122, 2477, 2024, 2328, 2066, 7286, 1012, 2258, 1017, 1010, 2249, 27275, 4281, 1024, 15543, 1010, 2444, 2614, 1010, 16437, 2131, 9436, 1997, 2115, 5401, 1005, 1055, 1998, 2131, 2122, 1012, 1012, 1012, 1045, 4666, 2005, 1037, 2843, 1997, 2444, 21286, 1013, 5132, 1013, 5154, 5389, 1012, 2116, 1997, 2029, 2224, 9378, 15271, 1010, 2358, 25377, 8378, 1010, 6490, 7334, 2302, 15373, 1005, 1055, 1010, 4385, 1012, 1045, 2224, 2000, 2224, 5401, 1005, 1055, 2000, 23025, 2122, 5167, 2035, 1996, 2051, 1010, 2021, 2059, 4149, 1037, 2109, 1045, 2629, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 2085, 1010, 1996, 5401, 1005, 1055, 2994, 1999, 1996, 3482, 1010, 1998, 1045, 2074, 4965, 2122, 1012, 2023, 23025, 1012, 4165, 2488, 2011, 2521, 1012, 1045, 2404, 2122, 2006, 1037, 2659, 3233, 1999, 2392, 1997, 2358, 25377, 8758, 2229, 1010, 2030, 1999, 2392, 1997, 1037, 9378, 6277, 1010, 2030, 2614, 11484, 2006, 2019, 6490, 1998, 2027, 2467, 2614, 2307, 999, 2307, 2035, 2105, 23025, 1010, 1998, 3071, 2323, 2031, 2195, 1997, 2122, 1999, 1996, 23025, 3482, 999, 999, 2013, 17642, 2669, 1010, 11721, 3915, 2255, 2410, 1010, 2263, 27275, 4281, 1024, 5455, 1999, 2600, 2316, 1012, 6919, 2236, 3800, 23025, 2072, 2293, 2023, 23025, 1012, 2057, 2224, 2009, 2005, 3649, 2057, 2342, 2009, 2005, 1999, 2256, 18267, 1012, 2096, 1996, 18454, 2890, 23025, 2015, 2024, 2036, 2307, 1010, 2057, 2424, 2009, 6082, 2000, 2424, 1037, 3327, 5693, 4086, 3962, 2007, 2023, 23025, 1006, 2926, 2043, 6575, 2005, 1996, 7812, 4309, 2096, 23025, 2075, 1037, 2858, 23713, 1007, 1012, 1998, 2074, 2066, 1996, 18454, 6072, 1010, 2023, 2210, 6841, 2064, 2202, 1037, 6012, 1012, 1045, 2031, 3333, 2009, 1037, 2193, 1997, 2335, 1998, 2009, 2145, 4165, 3819, 1012, 2009, 2130, 2573, 2307, 2005, 2955, 1012, 2057, 2224, 2009, 2004, 1037, 4281, 23025, 2444, 1012, 2013, 11334, 1010, 24098, 2244, 2654, 1010, 2289, 27275, 4281, 1024, 7592, 1055, 26148, 999, 2057, 2035, 2113, 2129, 2000, 2131, 1037, 2307, 1055, 26148, 3405, 1012, 1012, 1012, 6293, 1037, 5401, 2006, 2009, 1998, 5587, 1037, 2210, 2531, 2232, 2480, 1012, 2025, 4902, 999, 1996, 1045, 2629, 2003, 2066, 1037, 5401, 2007, 2070, 9573, 2100, 999, 1045, 2074, 2699, 2009, 2006, 1037, 1055, 26148, 1999, 2026, 2197, 5219, 1998, 2026, 17817, 2020, 4484, 1011, 2009, 5015, 9788, 1012, 2026, 5401, 2038, 2042, 25692, 2000, 1996, 3953, 1997, 1996, 1055, 26148, 1006, 2073, 2009, 2428, 12342, 2015, 1007, 1012, 2079, 4426, 1037, 5684, 1998, 4965, 2028, 1997, 2122, 2210, 4364, 1012, 1012, 1012, 2017, 2097, 2025, 9038, 2009, 999, 2013, 20025, 1010, 11721, 3915, 2244, 2654, 1010, 2294, 27275, 4281, 1024, 3405, 1013, 6809, 3992, 1010, 3135, 1010, 2444, 2614, 3992, 3241, 2055, 1996, 2214, 1000, 3115, 1000, 1029, 4965, 1996, 1045, 2629, 2612, 1012, 1996, 1045, 2629, 2003, 1037, 10392, 3405, 15545, 2005, 2858, 28633, 1012, 1045, 2031, 2179, 2009, 2000, 2022, 4066, 1997, 2066, 2478, 1037, 18454, 2890, 15488, 28311, 2005, 1996, 26836, 1998, 1037, 12411, 25311, 17580, 2121, 29403, 2005, 1996, 2659, 2015, 1010, 2069, 2007, 1996, 1045, 2629, 2017, 2123, 1005, 1056, 2031, 1996, 4403, 3314, 20228, 8490, 25165, 2017, 2008, 2052, 2022, 2556, 2043, 2478, 2048, 23025, 2015, 1012, 2096, 2009, 2038, 7182, 3739, 1010, 2009, 2987, 1005, 1056, 2272, 2125, 2004, 6805, 2100, 1012, 5744, 2302, 2108, 2601, 1010, 2556, 2302, 12344, 1010, 1998, 7167, 1997, 2303, 2302, 18054, 2041, 1997, 1996, 8487, 3207, 2595, 1025, 2035, 6413, 4078, 23235, 5668, 1997, 2023, 23025, 1005, 1055, 2839, 1012, 2043, 2478, 2023, 23025, 2006, 2858, 23713, 2015, 1999, 1037, 2444, 2614, 4646, 1010, 1045, 2031, 2179, 2009, 2000, 2147, 2061, 2172, 2488, 2084, 1996, 15488, 28311, 2043, 1045, 2572, 2478, 1037, 5372, 2291, 1012, 1996, 6805, 2100, 14894, 1997, 1996, 5401, 2823, 7126, 3013, 2083, 1996, 2839, 1997, 1037, 24706, 2214, 23228, 2043, 2242, 2062, 12042, 2074, 2987, 1005, 1056, 2079, 2009, 1012, 2036, 1010, 2061, 2172, 1997, 2444, 2858, 4165, 2003, 2061, 20714, 2000, 1996, 2291, 1010, 1996, 5990, 1010, 2037, 3941, 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, 2011, 2026, 2217, 11562, 2006, 3746, 2000, 4372, 8017, 3351, 1012, 2011, 15954, 17924, 4135, 4696, 1024, 14253, 2050, 1013, 1038, 5104, 2213, 14253, 2050, 1013, 7472, 6412, 1024, 6907, 1024, 1038, 5104, 2213, 3824, 2186, 1024, 3647, 2773, 1024, 18128, 1025, 3025, 2338, 1024, 2748, 1010, 6796, 13389, 2721, 11428, 2038, 2499, 2005, 5977, 2663, 18331, 2005, 2062, 2084, 1037, 2095, 1012, 2004, 2010, 3167, 3353, 1010, 2016, 9020, 3053, 2296, 7814, 1997, 2010, 2166, 1012, 2002, 1005, 1055, 1037, 14383, 1998, 2016, 1005, 1055, 1037, 4942, 27876, 1012, 2083, 2037, 2095, 2551, 2362, 1010, 2027, 1005, 2310, 2468, 2814, 1998, 8628, 1010, 2021, 13389, 2721, 2095, 3619, 2005, 2062, 1012, 2016, 1005, 1055, 1999, 2293, 2007, 5977, 1010, 1998, 2016, 1005, 1055, 10206, 2008, 2002, 2064, 1005, 1056, 2156, 2627, 2014, 8114, 8829, 1012, 2043, 5977, 1005, 1055, 4942, 27876, 2005, 1037, 1038, 5104, 2213, 5770, 2265, 17542, 2015, 14153, 2048, 2420, 2077, 1996, 2724, 1010, 13389, 2721, 14523, 2012, 1996, 3382, 2000, 2202, 2014, 2173, 1012, 5977, 4122, 13389, 2721, 1010, 2021, 2002, 1005, 1055, 4452, 2000, 2292, 1996, 3681, 1997, 2658, 2964, 2272, 21552, 2091, 1998, 3891, 3974, 2014, 1012, 6674, 1005, 1055, 3602, 1024, 2023, 2338, 3397, 13216, 4424, 8146, 1010, 8425, 2653, 1010, 1998, 3430, 2008, 2070, 8141, 2089, 2424, 22224, 3085, 1024, 20302, 2377, 1013, 23198, 1010, 1038, 5104, 2213, 4323, 1998, 3787, 1010, 8487, 6834, 1012, 26885, 6674, 1024, 6065, 8909, 1010, 11775, 1010, 2262, 26885, 14244, 2713, 3058, 1024, 2337, 2262, 2184, 8068, 8599, 1024, 2800, 26885, 11630, 1024, 1051, 15878, 4246, 4289, 1006, 17727, 1007, 1031, 13412, 21677, 1033, 3752, 2051, 1024, 6535, 1011, 11118, 8117, 1012, 18128, 1024, 4639, 5913, 29362, 2228, 2055, 2054, 2017, 2215, 2062, 2084, 2505, 1999, 1996, 2088, 1012, 2009, 3475, 1005, 1056, 2041, 1997, 3362, 1012, 18128, 2003, 2019, 4639, 5913, 29362, 2326, 2008, 16997, 1999, 2437, 2115, 5544, 2272, 2995, 1012, 2505, 2013, 1037, 5353, 2131, 9497, 2007, 2619, 2017, 2293, 2000, 2019, 14253, 8087, 2007, 1037, 7985, 1011, 1011, 2030, 12358, 1011, 1011, 2064, 4148, 1012, 2655, 2149, 2651, 1998, 2191, 2115, 5913, 1037, 4507, 1012, 1008, 18128, 8269, 1996, 2157, 2000, 15454, 2151, 4646, 2005, 2151, 3114, 1012, 18128, 2003, 2025, 2019, 8620, 2326, 1012, 2057, 2674, 2111, 2006, 1996, 3978, 1997, 2037, 21233, 1998, 13621, 2005, 2216, 21233, 2000, 2022, 16829, 1012, 21233, 2024, 16829, 2012, 1996, 19258, 1997, 2968, 1012, 2057, 1005, 2310, 2499, 4876, 2005, 2058, 1037, 2095, 1012, 2074, 2005, 2028, 2305, 1010, 1045, 2052, 2066, 2032, 2000, 5060, 2033, 1010, 2000, 2215, 2033, 1996, 2126, 1045, 2215, 2032, 1010, 2000, 2156, 2008, 1045, 2064, 2022, 1996, 4942, 27876, 2002, 3791, 1012, 1008, 1008, 1008, 1008, 1000, 6616, 1012, 1000, 5977, 2663, 18331, 7549, 2010, 3526, 3042, 2006, 1996, 2524, 3302, 1997, 1996, 23867, 4624, 1999, 2392, 1997, 2032, 1012, 2295, 2009, 10892, 6272, 2000, 2032, 1010, 1996, 4624, 3047, 2000, 2022, 4548, 2011, 2010, 3353, 1010, 13389, 2721, 14455, 1012, 2016, 5598, 2012, 1996, 9223, 2978, 1997, 4808, 2013, 1037, 2158, 2016, 1005, 1040, 2196, 2464, 4558, 2010, 12178, 1010, 2025, 2320, 1999, 1996, 7093, 2706, 2016, 1005, 1040, 2499, 2005, 2032, 1012, 1000, 2048, 2420, 1012, 2129, 1996, 3109, 2572, 1045, 4011, 2000, 2424, 1037, 6110, 1999, 2048, 8239, 2420, 1029, 1000, 2016, 17966, 2014, 9764, 1998, 2165, 1037, 3052, 2077, 2016, 2246, 2039, 2013, 2014, 9019, 1012, 1996, 3684, 1999, 2010, 14015, 2159, 2018, 18666, 2068, 3553, 2000, 2829, 1012, 13389, 2721, 7351, 1998, 7757, 2014, 3456, 2362, 1012, 2065, 2002, 2320, 2856, 2008, 2785, 1997, 3684, 1999, 2014, 3257, 1010, 2016, 2052, 2022, 6248, 1998, 2006, 2014, 5042, 1999, 2053, 2051, 1012, 2040, 2001, 2016, 7966, 2075, 1029, 2002, 2018, 2069, 2000, 3198, 1012, 3684, 2071, 2022, 7013, 2044, 1996, 2755, 1012, 1000, 1045, 2071, 2079, 2009, 1012, 1000, 2010, 2159, 8723, 1999, 5213, 1010, 1998, 2016, 3333, 2014, 3657, 1010, 4452, 1997, 1037, 8689, 2016, 2481, 1005, 1056, 5047, 1012, 2016, 7488, 2094, 2041, 1037, 2192, 1010, 4046, 2010, 3042, 1010, 1998, 8920, 2009, 4876, 1012, 2065, 2002, 1005, 1040, 3714, 2009, 1010, 2016, 2052, 2342, 2000, 2191, 2469, 2002, 2018, 1037, 2047, 2028, 1012, 1000, 2008, 2001, 21625, 1012, 1000, 2002, 3764, 5238, 1010, 1998, 2016, 23952, 2012, 2010, 4309, 1012, 2154, 1999, 1998, 2154, 2041, 2005, 2058, 1037, 2095, 1010, 2016, 2018, 2042, 2012, 2010, 2217, 1012, 2016, 6158, 7249, 2007, 2032, 1012, 2016, 2973, 1999, 1037, 7621, 1999, 2010, 7330, 1012, 2016, 3740, 2010, 2420, 1998, 4114, 2010, 2160, 1012, 2012, 2034, 2002, 2910, 1005, 1056, 2445, 2014, 2172, 2000, 2079, 1012, 2306, 2048, 2706, 1997, 2014, 5508, 1010, 2295, 1010, 2002, 2018, 9480, 2296, 7814, 1997, 2010, 2166, 2000, 2014, 5214, 2398, 1012, 2043, 2016, 2034, 2211, 2551, 2005, 2032, 1010, 2002, 2052, 10436, 2005, 1037, 5353, 2182, 1998, 2045, 1012, 13389, 2721, 2018, 5412, 26167, 2005, 1037, 2367, 2450, 2169, 2051, 1012, 2011, 1996, 2051, 2416, 3134, 2018, 2979, 1010, 2002, 2018, 11529, 14701, 2370, 1997, 2296, 2028, 1997, 2010, 4942, 27876, 2015, 3272, 2005, 21625, 1012, 2295, 2002, 2085, 2069, 2387, 2014, 24590, 3973, 1010, 13389, 2721, 2354, 4365, 2092, 2043, 2002, 3764, 2000, 21625, 1012, 1996, 4309, 1999, 2010, 2376, 21527, 1037, 13948, 1012, 4067, 2017, 1010, 2021, 2053, 4067, 2017, 1012, 2002, 2052, 24986, 5495, 2039, 21625, 1998, 11473, 2014, 2127, 2016, 14463, 2098, 1010, 2021, 2002, 2876, 1005, 1056, 3543, 13389, 2721, 2012, 2035, 1012, 2320, 1010, 2096, 7118, 1999, 2047, 2259, 2103, 2076, 1996, 3500, 1010, 2016, 2018, 5707, 2006, 1037, 8983, 1997, 3256, 1012, 2002, 1005, 1040, 3236, 2014, 1010, 4815, 2014, 2061, 2485, 2000, 2010, 2303, 2008, 2016, 2071, 2514, 1996, 23608, 1997, 2010, 3108, 2114, 2014, 2849, 1998, 3244, 1012, 1998, 2059, 2010, 6029, 2018, 2417, 24589, 1012, 2002, 2018, 2292, 2175, 1998, 2357, 27499, 2185, 1010, 11863, 15221, 2012, 2014, 3670, 1997, 15531, 1012, 2339, 1999, 1996, 2088, 2106, 2016, 11516, 2044, 1037, 2158, 2040, 6283, 1996, 2200, 2245, 1997, 3558, 3967, 2007, 2014, 1029, 2016, 1005, 1040, 2579, 1996, 3382, 2069, 2138, 1997, 1996, 4299, 2016, 1005, 1040, 7864, 2000, 18128, 1012, 7543, 2023, 2458, 3214, 2019, 3098, 2005, 13389, 2721, 1012, 2027, 1005, 1040, 2409, 2014, 2000, 5987, 29362, 2574, 1012, 2648, 1997, 1037, 2047, 11969, 2009, 2071, 2031, 3856, 2039, 5973, 1010, 1996, 3042, 2910, 1005, 1056, 4265, 4053, 1012, 2016, 2872, 2009, 2067, 2006, 1996, 4624, 1012, 7215, 2014, 8424, 1010, 2016, 2992, 2014, 3657, 2000, 5843, 2007, 2010, 1012, 1000, 1045, 2113, 1012, 1000, 2002, 3184, 2010, 2132, 1998, 2357, 2185, 1010, 2021, 2025, 2077, 2016, 3236, 1996, 12125, 1997, 3037, 2008, 14937, 4780, 1999, 2010, 2159, 1012, 1000, 2053, 1010, 13389, 2721, 1010, 2017, 2123, 1005, 1056, 2113, 1012, 2017, 2031, 2053, 3325, 2007, 2023, 2785, 1997, 2518, 1012, 17542, 1996, 2724, 1012, 25416, 8630, 1996, 11440, 1012, 1000, 1000, 2053, 1012, 5977, 1010, 2017, 2064, 1005, 1056, 2079, 2008, 1012, 2057, 1005, 2310, 2985, 2176, 2706, 4041, 2023, 1012, 2111, 3825, 2702, 4595, 6363, 2169, 2000, 2156, 2017, 2007, 1037, 4942, 27876, 1012, 1000, 2016, 2134, 1005, 1056, 2031, 2000, 10825, 2032, 2008, 1996, 2769, 2052, 5770, 2010, 5440, 25468, 5952, 1012, 2010, 3920, 2567, 2018, 2439, 2008, 2645, 2012, 1996, 8616, 2287, 1997, 7093, 1012, 5977, 2018, 2042, 5417, 1998, 3294, 13346, 2004, 2002, 3427, 2010, 2567, 1005, 1055, 24329, 2954, 1012, 2002, 4625, 1996, 2282, 1998, 4508, 2010, 6130, 2114, 1037, 3332, 9739, 2063, 1012, 6980, 23000, 2013, 2010, 2303, 1012, 2023, 3214, 2061, 2172, 2000, 2032, 1012, 2044, 10910, 4476, 1998, 7280, 2004, 1037, 5365, 3135, 2011, 2287, 4228, 1011, 2274, 1010, 5977, 2018, 2357, 2010, 25321, 4073, 2646, 6274, 2769, 2005, 15430, 2008, 6787, 2470, 1998, 3024, 5375, 2005, 2945, 5360, 2011, 25468, 1012, 13389, 2721, 1005, 1055, 2540, 8243, 1037, 2978, 2004, 2016, 3427, 2032, 1012, 6886, 14046, 2000, 1996, 3612, 1010, 2016, 8352, 1996, 4624, 1998, 2234, 2000, 3233, 2369, 2032, 1012, 2011, 3048, 2185, 7188, 2016, 2234, 2205, 2485, 1010, 2002, 1005, 1040, 4738, 2014, 2000, 2562, 3292, 2090, 2068, 1012, 2085, 2016, 6439, 2010, 25982, 3627, 1012, 2016, 2584, 2041, 1998, 8614, 2014, 2398, 2006, 2010, 4065, 1012, 1037, 18261, 2743, 2083, 2032, 1010, 2021, 2016, 2134, 1005, 1056, 2292, 2008, 2978, 1997, 13893, 10620, 2368, 2014, 3260, 1012, 1000, 5977, 1010, 1045, 2113, 1045, 1005, 1049, 2025, 3376, 1998, 7916, 2066, 21625, 1010, 2021, 2065, 2017, 2404, 2033, 1999, 2028, 1997, 2216, 13950, 3771, 13284, 1998, 1037, 7308, 1010, 1996, 7497, 2003, 2659, 2438, 2061, 2008, 6343, 2097, 2428, 2113, 1996, 4489, 1012, 1000, 7714, 1010, 13389, 2721, 2179, 21625, 1005, 1055, 20415, 4857, 2791, 14477, 4779, 26884, 1012, 2308, 2020, 3214, 2000, 2031, 10543, 1012, 1996, 19335, 12682, 2008, 8352, 2041, 21625, 1005, 1055, 20633, 11655, 2015, 2481, 1005, 1056, 3246, 2000, 5566, 2007, 13389, 2721, 1005, 1055, 3019, 15108, 1012, 13389, 2721, 2134, 1005, 1056, 5247, 2847, 1997, 2051, 1998, 5190, 1997, 6363, 2006, 2014, 5789, 2030, 2606, 1010, 2021, 2016, 2106, 2202, 2051, 2007, 2014, 3311, 1012, 2065, 21625, 2001, 1037, 2702, 1010, 2059, 13389, 2721, 2641, 2841, 1037, 5024, 2698, 1012, 3653, 6916, 2121, 2084, 2779, 1010, 2021, 2025, 5730, 1011, 7510, 2135, 3376, 1012, 2010, 4065, 2333, 2004, 1037, 7143, 15375, 3062, 2013, 2010, 2970, 1012, 1000, 6616, 1012, 13389, 2721, 1010, 2009, 1005, 1055, 2025, 2055, 5053, 1012, 2065, 2009, 2001, 2074, 2055, 5053, 1010, 1045, 1005, 1040, 2224, 2017, 1999, 1037, 12251, 1012, 1000, 1996, 8187, 1999, 2014, 3759, 3856, 2039, 1037, 2210, 1012, 2002, 1005, 1040, 2196, 2077, 7034, 2006, 2014, 3558, 3311, 2028, 2126, 2030, 1996, 2060, 1012, 1000, 21625, 4282, 2033, 1012, 2016, 4282, 2054, 1045, 2215, 2471, 2077, 1045, 3198, 2009, 1012, 1000, 13389, 2721, 4510, 20703, 2098, 2013, 24842, 3436, 2014, 4091, 1012, 1996, 3145, 2000, 13359, 5977, 3913, 1999, 2014, 3754, 2000, 2562, 2014, 12178, 2104, 2491, 1012, 2002, 2134, 1005, 1056, 6869, 2092, 2000, 27719, 2015, 1012, 1000, 1045, 1005, 2310, 2499, 2005, 2017, 2005, 2058, 1037, 2095, 1012, 2017, 1005, 2310, 2056, 2195, 2335, 2008, 1045, 2467, 2113, 2054, 2017, 2215, 1010, 1998, 2008, 1045, 2079, 2009, 2129, 2017, 2215, 2009, 2589, 1012, 1000, 2002, 2357, 2185, 2013, 1996, 3332, 1998, 5240, 2014, 28587, 2135, 1012, 1000, 1045, 2342, 1037, 4942, 27876, 2040, 2987, 1005, 1056, 3160, 2033, 1012, 1045, 2342, 2028, 2040, 2987, 1005, 1056, 17908, 2026, 4449, 2559, 2005, 1037, 2126, 2000, 2117, 1011, 3984, 2033, 1012, 2017, 1005, 2128, 2019, 6581, 3353, 1010, 2021, 2017, 1005, 2128, 2025, 2200, 4942, 27876, 1010, 13389, 2721, 1012, 2298, 2012, 2129, 2017, 5838, 2000, 2026, 2344, 2000, 17542, 1996, 5770, 1012, 1000, 2016, 7147, 2185, 2010, 5142, 1012, 2002, 2453, 2215, 1037, 4942, 2040, 2134, 1005, 1056, 3160, 2032, 1010, 2021, 2002, 2469, 2004, 3109, 2734, 2619, 2000, 2562, 2032, 2006, 2010, 10393, 1012, 1000, 2017, 2123, 1005, 1056, 2215, 2000, 17542, 1996, 5770, 1012, 2023, 2965, 2205, 2172, 2000, 2017, 1012, 1000, 2010, 2398, 2234, 2039, 1010, 1998, 2002, 15517, 2014, 3356, 2608, 8217, 1012, 2196, 2077, 2018, 2002, 4692, 2107, 2019, 10305, 3543, 1012, 1000, 1998, 2017, 5838, 2011, 11193, 2000, 17542, 1012, 2017, 1005, 2310, 2985, 1996, 2627, 2274, 2781, 9177, 2007, 2033, 1010, 2667, 2000, 8054, 2033, 2000, 2689, 2026, 2568, 1012, 1000, 2065, 2016, 6153, 2091, 2085, 1010, 2014, 3382, 2052, 9345, 17822, 3686, 1012, 1000, 5977, 1010, 1045, 1005, 1049, 2025, 2117, 1011, 16986, 2017, 1012, 1045, 2113, 2054, 2023, 2965, 2000, 2017, 1012, 1045, 1005, 1049, 2667, 2000, 2191, 2469, 2017, 2131, 2054, 2017, 2215, 1012, 1045, 1005, 1049, 2667, 2000, 3531, 2017, 1012, 1045, 5247, 2296, 2617, 1997, 2296, 2154, 2667, 2000, 3531, 2017, 1012, 1045, 2123, 1005, 1056, 2156, 2172, 1997, 1037, 4489, 2090, 2108, 2115, 3353, 1998, 2108, 2115, 4942, 27876, 1012, 1000, 1037, 6740, 1999, 2010, 5730, 26019, 1012, 1000, 2017, 1005, 2128, 2025, 2026, 4942, 27876, 1010, 13389, 2721, 1012, 2065, 2017, 2020, 1010, 2017, 1005, 1040, 2022, 5307, 1037, 7750, 2157, 2085, 1012, 1000, 2295, 2016, 2347, 1005, 1056, 1037, 11473, 2015, 1011, 1998, 1011, 20890, 2015, 2785, 1997, 2450, 1010, 2151, 2785, 1997, 7750, 2073, 2002, 5028, 2014, 2303, 2052, 2022, 4276, 2009, 1012, 2016, 13927, 2007, 11162, 1012, 1000, 2043, 2017, 10263, 2033, 2005, 2023, 3105, 1010, 2017, 2356, 2033, 2065, 1045, 2052, 2031, 1037, 3291, 2551, 2096, 2017 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1045, 1005, 1049, 18836, 2000, 8827, 2290, 2005, 3228, 2033, 1996, 4495, 2000, 3613, 2021, 1045, 2514, 2085, 2003, 1996, 2157, 2051, 2000, 3926, 2026, 2476, 1010, 2652, 2012, 1996, 3284, 2504, 1012, 1000, 2065, 2017, 2018, 2409, 2033, 2004, 1037, 2402, 2879, 1045, 2052, 2031, 2209, 2005, 1998, 2180, 22236, 2007, 2026, 2879, 9021, 2252, 5087, 2142, 1010, 18067, 16041, 1998, 2209, 2005, 2026, 2406, 2058, 2028, 3634, 2335, 1998, 7732, 2039, 2005, 2070, 1997, 1996, 5221, 4184, 1999, 1996, 2088, 1010, 1045, 2052, 2031, 2409, 2017, 2009, 2001, 1037, 5913, 1012, 2061, 7483, 2585, 10272, 3511, 2056, 9119, 2000, 4715, 1012, 2023, 2851, 1045, 8271, 2039, 1998, 7039, 1996, 21388, 2078, 2998, 10439, 2000, 2156, 2054, 1996, 4715, 6134, 2001, 2023, 5353, 1998, 2000, 2026, 4474, 1996, 2034, 2176, 3441, 2073, 5079, 2000, 3585, 7395, 1012, 1045, 1005, 1049, 2005, 5266, 2010, 5075, 2021, 2123, 1005, 1056, 2017, 2228, 1010, 2008, 2003, 1037, 2210, 2058, 15872, 1012, 2292, 1005, 1055, 2131, 2023, 2041, 1997, 1996, 2126, 2009, 2003, 1037, 6517, 2154, 2043, 2585, 10272, 3511, 17472, 2002, 2003, 9150, 2013, 2374, 2012, 1996, 2203, 1997, 1996, 2161, 1012, 2821, 2272, 2006, 1010, 13463, 15818, 8635, 2066, 1024, 1000, 2002, 2347, 1005, 1056, 1037, 4362, 4312, 1000, 1006, 2157, 2059, 1010, 2061, 2009, 2001, 1037, 3873, 6293, 2008, 2180, 2216, 2416, 4486, 2007, 2158, 2142, 999, 2585, 10272, 3511, 2038, 2623, 2008, 2002, 2097, 11036, 2012, 1996, 2203, 1997, 2023, 2161, 1998, 3712, 2998, 2739, 2001, 2035, 2058, 1996, 2466, 1010, 2437, 2469, 2008, 2053, 3043, 2073, 2115, 3239, 18510, 2024, 2559, 1010, 2017, 2113, 1996, 2739, 1012, 3272, 2005, 1996, 2112, 1997, 1996, 3898, 2007, 2280, 2563, 3208, 3889, 23680, 8017, 2368, 2559, 2005, 10626, 2078, 1012, 10272, 3511, 2207, 1037, 4861, 2006, 2010, 9130, 3931, 2000, 14970, 2010, 3247, 1012, 2012, 2197, 1010, 1996, 4410, 1011, 3159, 1997, 2394, 4368, 1010, 2585, 10272, 3511, 2038, 2633, 2787, 2000, 2655, 2009, 1037, 2154, 2006, 2054, 2038, 2042, 2019, 9788, 2476, 1010, 13912, 2107, 10478, 4184, 2004, 2158, 21183, 2094, 1010, 2613, 6921, 1010, 9353, 6954, 1010, 2474, 9088, 1010, 8827, 2290, 1998, 1010, 1997, 2607, 1010, 8475, 2167, 2203, 1012, 2174, 1010, 2004, 2092, 2004, 18840, 1037, 10478, 2986, 2157, 3329, 1010, 2720, 1012, 2585, 10272, 3511, 2038, 2623, 2008, 2002, 2097, 11036, 2013, 2374, 2012, 1996, 2203, 1997, 2023, 2161, 1012, 1996, 2280, 2474, 9088, 1010, 2158, 2142, 1998, 2613, 6921, 2732, 2097, 2655, 2009, 1037, 2154, 2044, 3045, 1996, 2413, 2223, 2516, 2007, 3000, 2358, 19192, 1012, 2002, 2056, 1024, 1000, 1045, 1005, 1049, 18836, 2000, 8827, 2290, 2005, 3228, 2033, 1996, 4495, 2000, 3613, 2021, 1045, 2514, 2085, 2003, 1996, 2157, 2051, 2000, 3926, 2026, 2476, 1010, 2652, 2012, 1996, 3284, 2504, 1012, 2585, 10272, 3511, 1005, 1055, 26150, 2374, 2075, 2476, 3504, 2004, 2065, 2009, 2097, 2633, 3612, 2091, 2012, 1996, 2203, 1997, 2023, 2161, 1012, 1996, 8827, 2290, 8850, 2001, 19379, 16777, 2000, 2022, 8402, 2010, 2994, 1999, 3000, 2021, 2009, 3504, 2004, 10272, 3511, 2097, 2633, 2655, 8046, 2015, 2006, 1037, 2476, 2008, 2038, 6719, 2579, 2032, 2105, 1996, 2088, 1012, 1000, 1045, 1005, 1049, 18836, 2000, 8827, 2290, 2005, 3228, 2033, 1996, 4495, 2000, 3613, 2021, 1045, 2514, 2085, 2003, 1996, 2157, 2051, 2000, 3926, 2026, 2476, 1010, 2652, 2012, 1996, 3284, 2504, 1010, 1000, 2002, 2056, 1012, 8827, 2290, 1005, 1055, 2516, 12035, 2020, 28604, 2011, 11421, 2075, 2006, 1996, 4534, 1997, 3000, 1012, 2112, 1997, 2037, 3377, 2778, 2018, 2000, 2022, 3013, 2460, 1010, 2164, 1037, 3740, 4231, 15909, 4049, 4440, 2247, 1996, 16470, 2314, 1012, 1031, 8724, 2000, 3499, 2017, 2000, 4780, 5674, 2017, 1005, 2128, 2006, 1037, 4231, 15909, 4049, 4440, 2006, 1996, 16470, 2007, 2585, 10272, 3511, 1012, 1033, 5190, 1997, 4599, 2018, 1031, 1012, 8827, 2290, 2633, 18311, 1996, 18374, 1015, 2516, 2007, 1037, 1015, 1011, 1014, 2663, 2114, 10241, 2006, 4465, 1012, 2023, 7537, 1062, 20051, 2319, 13477, 9142, 1012, 2021, 2004, 2002, 6334, 2007, 2010, 13220, 1999, 1996, 11225, 2282, 2044, 1996, 2674, 1010, 8827, 2290, 2472, 1997, 2374, 14720, 4692, 2000, 2425, 13477, 9142, 2008, 2002, 2018, 2000, 2175, 2202, 2019, 3424, 1011, 23799, 3231, 1012, 2023, 2106, 2025, 3531, 1062, 20051, 2319, 13477, 9142, 1012, 3059, 4038, 2265, 2474, 29464, 2638, 2741, 2019, 12495, 25556, 2100, 2000, 3000, 2000, 3198, 2005, 1996, 8285, 27341, 1997, 2070, 8827, 2290, 3340, 1012, 2069, 1996, 7760, 2020, 7760, 18471, 5669, 2007, 1996, 2447, 1005, 1055, 2132, 2006, 1996, 2303, 1997, 2178, 2158, 1012, 2725, 2477, 2007, 2664, 2178, 2158, 1012, 2027, 1005, 2128, 2025, 4257, 17989, 1010, 2053, 1012, 2009, 1005, 1055, 1999, 3059, 1010, 2021, 1996, 9597, 2013, 1996, 2867, 2024, 2204, 2438, 2302, 4092, 1996, 2653, 1012, 6159, 24246, 1998, 2909, 4074, 11262, 9979, 1006, 3746, 3081, 14163, 11329, 2880, 4037, 1007, 4651, 11256, 3613, 2000, 4875, 2980, 1998, 3435, 2005, 5087, 2142, 2732, 11854, 6159, 24246, 1012, 2004, 1997, 2089, 2324, 1010, 2286, 1010, 1996, 2215, 1011, 2185, 2830, 2038, 2042, 5799, 2035, 2058, 2885, 1998, 4247, 2000, 3623, 1996, 3815, 1997, 12143, 2105, 2010, 2925, 1999, 2563, 1012, 29393, 8625, 19181, 4590, 2038, 2018, 1037, 4189, 2978, 2000, 2360, 3728, 2055, 1996, 2460, 2744, 3241, 6913, 2011, 1037, 2843, 1997, 2374, 4184, 2122, 2420, 1010, 2096, 2667, 2000, 2203, 1996, 12143, 2055, 2010, 2219, 2925, 2004, 1996, 9433, 3208, 1012, 2057, 2113, 2008, 1996, 26529, 2003, 1037, 2158, 1997, 6481, 1998, 2097, 6293, 2000, 2068, 1010, 2348, 1996, 9433, 4599, 4299, 2002, 2052, 2022, 1037, 2978, 2062, 12379, 2823, 1012, 2007, 2053, 5082, 16875, 2006, 8670, 10010, 2100, 7842, 16989, 1005, 1055, 3206, 5331, 2012, 9433, 1010, 2009, 2003, 2559, 2062, 1998, 2062, 3497, 2008, 1996, 2413, 8291, 2097, 2022, 2975, 1996, 14041, 2023, 2621, 1012, 2429, 2000, 1996, 4654, 1011, 2158, 2142, 2732, 18125, 22827, 15721, 5488, 2015, 1010, 2040, 2003, 2747, 3353, 3208, 2012, 4429, 26459, 1999, 1996, 2845, 4239, 2223, 1010, 7842, 16989, 2003, 1037, 4539, 2005, 1996, 2769, 26813, 2136, 2019, 19436, 5003, 15256, 2818, 26907, 2040, 2071, 2292, 19181, 4590, 5356, 1999, 2006, 2010, 2382, 2095, 1011, 2214, 2157, 1011, 2067, 1012, 23739, 2480, 14255, 17112, 27966, 5937, 1997, 8945, 7946, 8464, 23912, 1006, 8224, 5541, 7674, 1007, 23739, 2480, 14255, 17112, 27966, 5937, 2003, 2108, 14682, 2091, 2011, 2414, 1005, 1055, 10418, 1999, 2344, 2000, 5672, 8670, 10010, 2100, 7842, 16989, 2023, 2621, 1012, 1996, 2676, 1011, 2095, 1011, 2214, 3735, 2248, 2038, 2042, 2019, 9897, 2112, 1997, 8945, 7946, 8464, 23912, 1005, 2217, 2023, 2161, 1012, 7441, 4267, 1997, 1996, 10013, 4311, 2008, 29393, 8625, 19181, 4590, 2038, 7303, 2195, 4311, 2006, 14255, 17112, 27966, 5937, 1999, 1996, 2627, 2261, 2706, 1010, 8131, 2008, 2045, 2003, 2070, 3037, 1999, 3773, 1996, 2157, 1011, 2067, 2012, 9433, 2065, 7842, 16989, 2020, 2000, 2681, 2023, 2621, 1012, 2045, 2031, 2042, 2116, 19200, 2008, 9433, 1005, 1055, 29393, 8625, 19181, 4590, 2003, 1996, 2279, 3208, 2000, 2022, 7732, 2039, 2011, 1996, 2047, 2413, 2769, 26813, 2136, 3000, 2358, 1012, 19192, 1010, 2021, 2002, 2038, 12246, 6380, 1996, 6061, 1010, 1998, 2066, 3619, 2025, 6225, 2075, 2010, 3206, 2000, 3772, 2066, 1037, 12383, 999, 9433, 5795, 29393, 8625, 19181, 4590, 2038, 2018, 1037, 11220, 1011, 16817, 2161, 1999, 3715, 1997, 9433, 2023, 2161, 1010, 2021, 2002, 2145, 2424, 2010, 2217, 1999, 2491, 1997, 2037, 2219, 3966, 2223, 10461, 3805, 1997, 2037, 2048, 2345, 2048, 3503, 1997, 1996, 2161, 1012, 1037, 3816, 4524, 1997, 3463, 2023, 2095, 2038, 2464, 2032, 6367, 2062, 2061, 2084, 2412, 2011, 2010, 2219, 4599, 1010, 1998, 1996, 1996, 2755, 2008, 1996, 2217, 8440, 1005, 1056, 2180, 1037, 5384, 2144, 1996, 6904, 2452, 1999, 2384, 2038, 2069, 16721, 2098, 2006, 2062, 3778, 1012, 2024, 2151, 9433, 2867, 2204, 2438, 2000, 3037, 2178, 2502, 2252, 1029, 2011, 1042, 2094, 2035, 1996, 4651, 2831, 2012, 1996, 2617, 2003, 2055, 1996, 4022, 2867, 9433, 2024, 2559, 2000, 3288, 1999, 2058, 1996, 2621, 1012, 2009, 3849, 2004, 2295, 2045, 1005, 1055, 6684, 1037, 9824, 2057, 4033, 1005, 1056, 2042, 5799, 2007, 1012, 2008, 1005, 1055, 2035, 2092, 1998, 2204, 1516, 2009, 1005, 1055, 27150, 2000, 2022, 2641, 2004, 2028, 1997, 1996, 13433, 15395, 2869, 2005, 1037, 2689, 1010, 2738, 2084, 2383, 2000, 2377, 2256, 5156, 2208, 1011, 4363, 2535, 1012, 2045, 2031, 2042, 2116, 19200, 11383, 1996, 9433, 2157, 1011, 2067, 8670, 10010, 2100, 7842, 16989, 2007, 1037, 2709, 2000, 2605, 2023, 2621, 2007, 1996, 2047, 2769, 1011, 8641, 2252, 1010, 3000, 3002, 19192, 1012, 2069, 2197, 2733, 2009, 2001, 2988, 2008, 29393, 8625, 19181, 4590, 2018, 11766, 1996, 2382, 2095, 1011, 2214, 2000, 2994, 2006, 2012, 1996, 14041, 1010, 2021, 2009, 3849, 2008, 2008, 2003, 2025, 2664, 2995, 2004, 7842, 16989, 2038, 2085, 3936, 2008, 2002, 2987, 1005, 1056, 2113, 2073, 2002, 2097, 2022, 2279, 2161, 1012, 2065, 2017, 2020, 5948, 1037, 2452, 1997, 5572, 2043, 2017, 2387, 2023, 17653, 1010, 1045, 9706, 12898, 17701, 2063, 1012, 13387, 2115, 3898, 2091, 1998, 3191, 2006, 1010, 2138, 9433, 1005, 1055, 2413, 2248, 11854, 2038, 4081, 2008, 2002, 2038, 2042, 2488, 2008, 1996, 29000, 4577, 5722, 26413, 2888, 1998, 1996, 1036, 6841, 1036, 2106, 3771, 2852, 8649, 3676, 1012, 1999, 1996, 5256, 1997, 1996, 6712, 2015, 1997, 5863, 3158, 2566, 11741, 1998, 4074, 2299, 2013, 9433, 2197, 2095, 1010, 1996, 2413, 2248, 8670, 10010, 2100, 7842, 16989, 2001, 4187, 1997, 1996, 2252, 1998, 8781, 1996, 16290, 1997, 1996, 2604, 1012, 1999, 2008, 1010, 2002, 2001, 2025, 2894, 1998, 2087, 1997, 1996, 9433, 4599, 3530, 2007, 2032, 2000, 1037, 3056, 6698, 1012, 2045, 2031, 2042, 19200, 1998, 12143, 2035, 2161, 2055, 1996, 2157, 2067, 2975, 1996, 14041, 1998, 2045, 2003, 1010, 4593, 1010, 2844, 3037, 2013, 8827, 2290, 1012, 2045, 2038, 2042, 1037, 2843, 1997, 2831, 2023, 2733, 1010, 1998, 2012, 2536, 2335, 2802, 1996, 2161, 1010, 2055, 29393, 8625, 19181, 4590, 1998, 3251, 2002, 2323, 2994, 1999, 3715, 1997, 9433, 1012, 1996, 2831, 2023, 2733, 2001, 2318, 2043, 2009, 2001, 2988, 2008, 2002, 2089, 2022, 5825, 2000, 1996, 12577, 2072, 3079, 3000, 3002, 1011, 19192, 1012, 1996, 3565, 4138, 4177, 1997, 1996, 2413, 2223, 4025, 2000, 2022, 4198, 2007, 2074, 2055, 2296, 2502, 4651, 19379, 8162, 1010, 2061, 2057, 2323, 2025, 2022, 4527, 1010, 2021, 19181, 4590, 1998, 4584, 2012, 9433, 2031, 2081, 3154, 2008, 2009, 2097, 2025, 4148, 1010, 2012, 2560, 2025, 2023, 2095, 1012, 2429, 2000, 2536, 3259, 4311, 1006, 3393, 3000, 9013, 2003, 2028, 2742, 1007, 1996, 2327, 2273, 2012, 8827, 2290, 2031, 2042, 3038, 29393, 8625, 19181, 4590, 2097, 5791, 2022, 2746, 2000, 8827, 2290, 2023, 2621, 1012, 7989, 2008, 2002, 2097, 2272, 1999, 2297, 2043, 2010, 2783, 3206, 2012, 9433, 4515, 1012, 8827, 2290, 2174, 2031, 2042, 9343, 2200, 2502, 1010, 1998, 2045, 1031, 1012, 3000, 3002, 1011, 19192, 2031, 2042, 5799, 2007, 2613, 6921, 1005, 1055, 13675, 2923, 15668, 8923, 2080, 2005, 2087, 1997, 1996, 2161, 1998, 2027, 2024, 8225, 1037, 23714, 3749, 2005, 2032, 2007, 1996, 3246, 1997, 7632, 17364, 2075, 2010, 2693, 2000, 2067, 2000, 5087, 2142, 1012, 2429, 2000, 1005, 1048, 1005, 1041, 15549, 5051, 1005, 1010, 8827, 2290, 2097, 3749, 2613, 6921, 1574, 18613, 2213, 2005, 1996, 11854, 1998, 2008, 1996, 2413, 3966, 2097, 3749, 1037, 10300, 2008, 2052, 2191, 2032, 1996, 2117, 2190, 3825, 4362, 1999, 1996, 2088, 1010, 2069, 2369, 5212, 3802, 1005, 1051, 2080, 1012, 2045, 2001, 1037, 5278, 1997, 1996, 3457, 1999, 2605, 2012, 1996, 5353, 1010, 2004, 3000, 3002, 1011, 19192, 2031, 2180, 2037, 2034, 18374, 1015, 2516, 1999, 2539, 2086, 2044, 4465, 1005, 1055, 1015, 1011, 1014, 3377, 2012, 1996, 2188, 1997, 10241, 1010, 2005, 2061, 2146, 1996, 7444, 2486, 1999, 2605, 1012, 11303, 1037, 2663, 2000, 10236, 2039, 1996, 2528, 2007, 2048, 2399, 3588, 1010, 8827, 2290, 2318, 3254, 2012, 1996, 15649, 2139, 16216, 18324, 2077, 6360, 2746, 2046, 1996, 2208, 2004, 2431, 1011, 2051, 5411, 1012, 10241, 5443, 8827, 2290, 2286, 11637, 1014, 1011, 1015, 2273, 9351, 3125, 14720, 1062, 20051, 2319, 13477, 9142, 2678, 2003, 1037, 2695, 2013, 4715, 28205, 1012, 3582, 4715, 28205, 2006, 10474, 10241, 5443, 8827, 2290, 2286, 11637, 1014, 1011, 1015, 2273, 9351, 3125, 14720, 1062, 20051, 2319, 13477, 9142, 2678, 2003, 1037, 2695, 2013, 4715, 28205, 1012, 3582, 4715, 28205, 2006, 10474, 10241, 5443, 8827, 2290, 2286, 1006, 19330, 3000, 22214, 2678, 2917, 1007, 2345, 3556, 1998, 2765, 1024, 1011, 10241 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3612, 1010, 2300, 1010, 1998, 5943, 2373, 2005, 1996, 2088, 23330, 4517, 1012, 8057, 5317, 1012, 2128, 8569, 4246, 16012, 11263, 2884, 1012, 2035, 2057, 2342, 2003, 1996, 3612, 1010, 1996, 2300, 1010, 1998, 1996, 3103, 2057, 2123, 1521, 1056, 2342, 4517, 2373, 1010, 5317, 1010, 2030, 16012, 11263, 9050, 1012, 2057, 2064, 2131, 2531, 3867, 1997, 2256, 2943, 2013, 3612, 1010, 2300, 1010, 1998, 5943, 1006, 1059, 9333, 1007, 2373, 1012, 1998, 2057, 2064, 2079, 2009, 2651, 1517, 18228, 1010, 2128, 6632, 6321, 1010, 9689, 1010, 15770, 8231, 1010, 1998, 15318, 1012, 2057, 2064, 2131, 2000, 2023, 1059, 9333, 2088, 2011, 3432, 2311, 1037, 2843, 1997, 2047, 3001, 2005, 1996, 2537, 1010, 6726, 1010, 1998, 2224, 1997, 2943, 1012, 2028, 11967, 2008, 8422, 3330, 2934, 2928, 12988, 2239, 1998, 1045, 2764, 1010, 18398, 2000, 18540, 2692, 1010, 2950, 1024, 1017, 1012, 1022, 2454, 3612, 17396, 1010, 1019, 13164, 24281, 3215, 2169, 1010, 17731, 2753, 3867, 1997, 1996, 11310, 2561, 3795, 2373, 5157, 4749, 2199, 5943, 9829, 2373, 4264, 1010, 3998, 12464, 2169, 1010, 17731, 2322, 3867, 2871, 2199, 5943, 6302, 6767, 24458, 2594, 1006, 26189, 1007, 2373, 4264, 17731, 2403, 3867, 1015, 1012, 1021, 4551, 23308, 26189, 3001, 1010, 1017, 11382, 8261, 19321, 2015, 2169, 1010, 17731, 1020, 3867, 5187, 12376, 20248, 23367, 2373, 4264, 1010, 2531, 12464, 2169, 1010, 17731, 1018, 3867, 7706, 18541, 2373, 4264, 1010, 19527, 12464, 2169, 1010, 1997, 2029, 3963, 3867, 2024, 2525, 1999, 2173, 1010, 17731, 1018, 3867, 22857, 2199, 4153, 1011, 4400, 5733, 1010, 1014, 1012, 4293, 12464, 2169, 1010, 17731, 1015, 3867, 22288, 2199, 15065, 17396, 1010, 1015, 12464, 2169, 1010, 17731, 1015, 3867, 1012, 2057, 2036, 2342, 2000, 6551, 7818, 1996, 6726, 6502, 1999, 2344, 2000, 3443, 1996, 2312, 3565, 16523, 9821, 2008, 2097, 8487, 2116, 4655, 1998, 2411, 2195, 3032, 1998, 2130, 17846, 1012, 1998, 2057, 2342, 2000, 7818, 2537, 1997, 6046, 1011, 3751, 1998, 9732, 4762, 3526, 4683, 1010, 3719, 2008, 2448, 2006, 9732, 4762, 3526, 1998, 6046, 14930, 1010, 5622, 4226, 10451, 9732, 2948, 1010, 2250, 1011, 1998, 2598, 1011, 3120, 3684, 15856, 1010, 3751, 5012, 10808, 1010, 1998, 9732, 2005, 2152, 1011, 4860, 6194, 1012, 2000, 2191, 1037, 1059, 9333, 2088, 2147, 1010, 2057, 2036, 2342, 2000, 5547, 5157, 1012, 8161, 5157, 2011, 9229, 1996, 8122, 1997, 5733, 2008, 2224, 2373, 1010, 2030, 4942, 21532, 2659, 1011, 2943, 3450, 1998, 6786, 2005, 2152, 1011, 2943, 3924, 1517, 2005, 2742, 1010, 18126, 28120, 2075, 2612, 1997, 4439, 1517, 3495, 13416, 1996, 3778, 2000, 3965, 2943, 1012, 2138, 1037, 5294, 10813, 1997, 1059, 9333, 6786, 5942, 2019, 9725, 1998, 4423, 6726, 8370, 1998, 1996, 6047, 8346, 1997, 1996, 8370, 2007, 6046, 1011, 3751, 4683, 1998, 9732, 4762, 3526, 4683, 1517, 2478, 2119, 4127, 1997, 2122, 4683, 2005, 5500, 6451, 5527, 1517, 6867, 2342, 2000, 5362, 4636, 1010, 2933, 1010, 1998, 6133, 1037, 2146, 1011, 2744, 1010, 2312, 1011, 4094, 18322, 1997, 1996, 6451, 6726, 1998, 4353, 2291, 1012, 1999, 2172, 1997, 1996, 2088, 1010, 2057, 1521, 2222, 2342, 2248, 6792, 1999, 4041, 1998, 2311, 3565, 16523, 9821, 2008, 8487, 2408, 3674, 3032, 1010, 2138, 2116, 3265, 3032, 2074, 4995, 1521, 1056, 2502, 2438, 2000, 9146, 2438, 9183, 4487, 17668, 10992, 1997, 16937, 2000, 10210, 28731, 2334, 28436, 1999, 3612, 1998, 5943, 8015, 1012, 1996, 5532, 8586, 2622, 17146, 1037, 3565, 16523, 3593, 2000, 4957, 2885, 1998, 2167, 3088, 1010, 1998, 2184, 2642, 2647, 3032, 2024, 2927, 2000, 2933, 1037, 2167, 2712, 3565, 16523, 3593, 2005, 12195, 3612, 2373, 1012, 3088, 1010, 4021, 1998, 4643, 4021, 1010, 2660, 1013, 12343, 1010, 2859, 1010, 1996, 2690, 2264, 1010, 2167, 2637, 1010, 2148, 2637, 1010, 1998, 3607, 2097, 2342, 3565, 16523, 9821, 2004, 2092, 1012, 2348, 2023, 2003, 2019, 8216, 18457, 1010, 2009, 2515, 2025, 2342, 2000, 2022, 2589, 11585, 1010, 1998, 2045, 2024, 7564, 1997, 4973, 1999, 3522, 2381, 1997, 3144, 2312, 1011, 4094, 6502, 1010, 3919, 1010, 1998, 3330, 3934, 1012, 2076, 2088, 2162, 2462, 1010, 1996, 2142, 2163, 8590, 5013, 4316, 2537, 4128, 2000, 3965, 2058, 3998, 2199, 2948, 1010, 1998, 1996, 2717, 1997, 1996, 2088, 2001, 2583, 2000, 3965, 2058, 3156, 2199, 2948, 1012, 1999, 3838, 1010, 1996, 2142, 2163, 2211, 2147, 2006, 1996, 7553, 3307, 2291, 1010, 2029, 2085, 8908, 2005, 2055, 4700, 2199, 2661, 1006, 2105, 4293, 2199, 7338, 1007, 1998, 2003, 2641, 2028, 1997, 1996, 2922, 2270, 2573, 2622, 1999, 2381, 1012, 1996, 14430, 9348, 2565, 1010, 4235, 2641, 2028, 1997, 1996, 4602, 3330, 1998, 10660, 17571, 2412, 1010, 2404, 1037, 2158, 2006, 1996, 4231, 1999, 2625, 2084, 2184, 2086, 1012, 2348, 2122, 3934, 5525, 11234, 1999, 2590, 3171, 1010, 2576, 1010, 1998, 4087, 3971, 2013, 1996, 2622, 2057, 6848, 1010, 2027, 2079, 6592, 2008, 1996, 2312, 4094, 1997, 1037, 3143, 8651, 1997, 1996, 2943, 2291, 2003, 2025, 1999, 2993, 2019, 16021, 3126, 20048, 3085, 8803, 1012, 8114, 1998, 10539, 1024, 1037, 2531, 1011, 3867, 3612, 1010, 2300, 1010, 1998, 5943, 2373, 2291, 2064, 8116, 2035, 1997, 1996, 2088, 1521, 1055, 2943, 3791, 18228, 1012, 12988, 2239, 1998, 1045, 4358, 1996, 4022, 4425, 1998, 4102, 2216, 10035, 2007, 21796, 1997, 2943, 5157, 2081, 2011, 1996, 1057, 1012, 1055, 1012, 2943, 2592, 3447, 1012, 2057, 10174, 2008, 1996, 3815, 1997, 3612, 2373, 1998, 5943, 2373, 2800, 1999, 5269, 2008, 2064, 3497, 2022, 2764, 2105, 1996, 2088, 1010, 13343, 12615, 1010, 23651, 1996, 11310, 2088, 5157, 2005, 2373, 1999, 18540, 2692, 2005, 2035, 5682, 2011, 2062, 2084, 2019, 2344, 1997, 10194, 1012, 2006, 2327, 1997, 2008, 1010, 12988, 2239, 1998, 1045, 10197, 2008, 16401, 2000, 1037, 1059, 9333, 2943, 6502, 2064, 2941, 5547, 2088, 2373, 5157, 2011, 2062, 2084, 2382, 3867, 1006, 2241, 2006, 11310, 2943, 8381, 1999, 1996, 2095, 18540, 2692, 1007, 1010, 3952, 2138, 3751, 9693, 2031, 2625, 2943, 3279, 2084, 2079, 16513, 5733, 1012, 2021, 1010, 1996, 29349, 24322, 2545, 2097, 2128, 25485, 1010, 2054, 2055, 15258, 1029, 2064, 2122, 4219, 8116, 2373, 2128, 6632, 6321, 1029, 5262, 2027, 2064, 1012, 2096, 2009, 2003, 2995, 2008, 2053, 2309, 3612, 1011, 2373, 3888, 2030, 5943, 1011, 6302, 6767, 24458, 2594, 8272, 2064, 2128, 6632, 6321, 2674, 2561, 2373, 5157, 1999, 1037, 2555, 1010, 2009, 2003, 2036, 2995, 1517, 1998, 2411, 2025, 3858, 1517, 2008, 2053, 3265, 5317, 2030, 4517, 3269, 2064, 2593, 1012, 5262, 1010, 2151, 6451, 2291, 2442, 2022, 2583, 2000, 6869, 2000, 3431, 1999, 5157, 2058, 3823, 1010, 2781, 1010, 2847, 1010, 3692, 1010, 1998, 2086, 1010, 1998, 2442, 2022, 2583, 2000, 8752, 14477, 16778, 6895, 17585, 2094, 3431, 1999, 1996, 11343, 1997, 4245, 2349, 2000, 2041, 13923, 1010, 2005, 2742, 1012, 2651, 1521, 1055, 3701, 10725, 1011, 4762, 6451, 2291, 16412, 2007, 10200, 3001, 1010, 2373, 4264, 2716, 3784, 2069, 2076, 6993, 1997, 4672, 5157, 1010, 1998, 9419, 8269, 1517, 2008, 2003, 1010, 1996, 4469, 11717, 3977, 2800, 2011, 4852, 1996, 2373, 6434, 2013, 2525, 4082, 16937, 1012, 1037, 1059, 9333, 6451, 2291, 16024, 3431, 1999, 5157, 2521, 11543, 1012, 2000, 2707, 2007, 1010, 1059, 9333, 6786, 3227, 9015, 2625, 2091, 7292, 2084, 2079, 2783, 3751, 2373, 6786, 1012, 2174, 1010, 2027, 2227, 26096, 2062, 28436, 1025, 1996, 4555, 5943, 2030, 3612, 2373, 2800, 2012, 1037, 2309, 3295, 9783, 2058, 2781, 1010, 2847, 1010, 1998, 2420, 1010, 1998, 2023, 8386, 3227, 2515, 2025, 2674, 1996, 5157, 5418, 2058, 1996, 2168, 2335, 9289, 2229, 1012, 7149, 2007, 2023, 2460, 1011, 2744, 28436, 2064, 2022, 10368, 1010, 2021, 2009, 2003, 2079, 3085, 1012, 2164, 18479, 11452, 1517, 2029, 2003, 4659, 3733, 2000, 2735, 2006, 1998, 2125, 2004, 2734, 1517, 1999, 1996, 11717, 7427, 7126, 1010, 2004, 2515, 6605, 5157, 1006, 2005, 2742, 1010, 2011, 9564, 12379, 15665, 2000, 2335, 2043, 2062, 11717, 3977, 2003, 2800, 1007, 1998, 19939, 2075, 4633, 2062, 10785, 1025, 2122, 2031, 2210, 2030, 2053, 3176, 3465, 1012, 1037, 1059, 9333, 2291, 2036, 3791, 2000, 6970, 8663, 2638, 6593, 4219, 2058, 2898, 4655, 1010, 4526, 1037, 3565, 16523, 3593, 2008, 2064, 8487, 17846, 1012, 1998, 2009, 2097, 2763, 2342, 2000, 2031, 11519, 7941, 3550, 2943, 5527, 1999, 14094, 1010, 2478, 10274, 1999, 3751, 4683, 1012, 2633, 1010, 1059, 9333, 4245, 3977, 2323, 6022, 13467, 1996, 4555, 3815, 1997, 5157, 1999, 2344, 2000, 18478, 1996, 2335, 2043, 2800, 1059, 9333, 2373, 3216, 2460, 1012, 2087, 1997, 1996, 2051, 1010, 2023, 9987, 4245, 3977, 2071, 2022, 2109, 2000, 3073, 2373, 2000, 3965, 9732, 2005, 2203, 3594, 2025, 2092, 2366, 2011, 3622, 3751, 2373, 1010, 2107, 2004, 2070, 7957, 1997, 3884, 1010, 4334, 1010, 2125, 1011, 2346, 1010, 1998, 3082, 1011, 4611, 4744, 3665, 1012, 21791, 1998, 3647, 1024, 1059, 9333, 2373, 2003, 21791, 1012, 1996, 2797, 3465, 1997, 11717, 6451, 2013, 2006, 19208, 3612, 2373, 2003, 2525, 2625, 2084, 1996, 2797, 3465, 1997, 7511, 10725, 1011, 4762, 4245, 1998, 2003, 3497, 2000, 2022, 2130, 2896, 1999, 1996, 2925, 1517, 2625, 2084, 2149, 1002, 1014, 1012, 5709, 2566, 11382, 8261, 19321, 1011, 3178, 2164, 2070, 6726, 5366, 1010, 2429, 2000, 2256, 16268, 1006, 2023, 2950, 1996, 3929, 16095, 23355, 3465, 1997, 3007, 1998, 2455, 1007, 1012, 2011, 18540, 2692, 1010, 12988, 2239, 1998, 1045, 10197, 2008, 1996, 2591, 3465, 1006, 2029, 2950, 1996, 2797, 2030, 7325, 3465, 1010, 4606, 3176, 6327, 5366, 1024, 2005, 2742, 1010, 1996, 3643, 1997, 2740, 4053, 2013, 2250, 10796, 1010, 2029, 2554, 6468, 2021, 1996, 3265, 7325, 2515, 2025, 1007, 1997, 11717, 6451, 2013, 2151, 1059, 9333, 2373, 3120, 2003, 3497, 2000, 2022, 2625, 2084, 1996, 2591, 3465, 1997, 7511, 10725, 1011, 4762, 4245, 1010, 1998, 2008, 2950, 1996, 16095, 23355, 3465, 1997, 2455, 7654, 1010, 3007, 1010, 1998, 2810, 1012, 1996, 3465, 1997, 23820, 1998, 6605, 1517, 2004, 4941, 2000, 11717, 1517, 6451, 2097, 2763, 2022, 5399, 3020, 1999, 1037, 3612, 1010, 2300, 1010, 1998, 5943, 2291, 2084, 1999, 1037, 7511, 6451, 2291, 1012, 1999, 2019, 9414, 2135, 2881, 1998, 3498, 1059, 9333, 2291, 1010, 1996, 4469, 6502, 1998, 2943, 3465, 1997, 6016, 6451, 2146, 12103, 2058, 1037, 3565, 16523, 3593, 1998, 1997, 4316, 1011, 2000, 1011, 8370, 5527, 1010, 2247, 2007, 5157, 2968, 1010, 18479, 11452, 1010, 1998, 4633, 19939, 2075, 1010, 2097, 2763, 5587, 2039, 2000, 2019, 2779, 1997, 1002, 1014, 1012, 6185, 1013, 6448, 2232, 7013, 1012, 2011, 7831, 1010, 7511, 2146, 1011, 3292, 21670, 1999, 1996, 2142, 2163, 2651, 3465, 2055, 1002, 1014, 1012, 5890, 1013, 6448, 2232, 1012, 2057, 2123, 1521, 1056, 2031, 2000, 4737, 2205, 2172, 2055, 1996, 5366, 1997, 1996, 3937, 2810, 4475, 1010, 2138, 1996, 4425, 1997, 3886, 1998, 5509, 2109, 1999, 1037, 3612, 1010, 2300, 1010, 2030, 5943, 2373, 2291, 2003, 8990, 14668, 1517, 2122, 4475, 2024, 12990, 1998, 28667, 2100, 20464, 3085, 1012, 1996, 4678, 2099, 4475, 1010, 2164, 9253, 5149, 27759, 1006, 1999, 3751, 9693, 1998, 16937, 1007, 1010, 8899, 1006, 1999, 4762, 4442, 1007, 1010, 22157, 1006, 1999, 10274, 1007, 1010, 1998, 3165, 1010, 2425, 9496, 2819, 1010, 27427, 5007, 1010, 1998, 2446, 5007, 1006, 1999, 2367, 7957, 1997, 6302, 6767, 24458, 2594, 3001, 1007, 1010, 2024, 6211, 2000, 2131, 1010, 2062, 6450, 1010, 1998, 3132, 1999, 4425, 1010, 2061, 2027, 2097, 2031, 2000, 2022, 4359, 1010, 22207, 1010, 2030, 2776, 2999, 2007, 2625, 1011, 18782, 4475, 4983, 2047, 4216, 12636, 1012, 2174, 1010, 1996, 3465, 1997, 8161, 1010, 17874, 1010, 2030, 6419, 9253, 5149, 27759, 1010, 8899, 1010, 2030, 1996, 4475, 2005, 6302, 6767, 24458, 6558, 2003, 2025, 3497, 2000, 25327, 7461, 1996, 5543, 1997, 1059, 9333, 3001, 1012, 1059, 9333, 2373, 2003, 3647, 1998, 9084, 1012, 3612, 1010, 2300, 1010, 1998, 5943, 2373, 2031, 7687, 5717, 11768, 1997, 16635, 15865, 1998, 2250, 8554, 13210, 7666, 2058, 1996, 2878, 2166, 5402, 1997, 2037, 3001, 1012, 2027, 2079, 2210, 2000, 3480, 6870, 1010, 2300, 3737, 1010, 1998, 12350, 20440, 1025, 2027, 2024, 2025, 23546, 18665, 3403, 2000, 4148, 1999, 3408, 1997, 5949, 13148, 1010, 10130, 1010, 2162, 1010, 2529, 7561, 1010, 2030, 3019, 18665, 1025, 1998, 2027, 2024, 2241, 2006, 3019, 4219, 1998, 4475, 2008, 2024, 20733, 13918, 2030, 28667, 2100, 20464, 3085, 1012, 4517, 2373, 1010, 5317, 1010, 1998, 16012, 11263, 9050, 2024, 2505, 2021, 3647, 1998, 9084, 1012, 16012, 11263, 9050, 1998, 2061, 1011, 2170, 4550, 5317, 3001, 2145, 3426, 2250, 10796, 1010, 2300, 10796, 1010, 6552, 6215, 1010, 1998, 4785, 2689, 1025, 16012, 11263, 9050, 2036, 9002, 2000, 3020, 2833, 7597, 1012, 4517, 2373, 2525, 2038, 2018, 2048, 23546, 13436, 1010, 1998, 2130, 2295, 1996, 3068, 2038, 5301, 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, 4696, 8264, 1024, 2775, 23301, 1998, 4013, 9905, 6610, 3728, 1010, 1998, 2058, 1996, 2607, 1997, 2195, 8466, 1010, 1037, 18792, 2409, 2033, 1045, 2001, 14337, 1012, 2005, 2054, 1010, 2017, 2453, 4687, 1029, 2129, 2003, 2619, 2040, 5570, 21357, 2015, 2769, 2000, 5952, 1010, 2467, 7126, 3087, 2040, 5176, 1010, 17257, 1999, 6951, 2075, 1010, 1998, 4240, 1996, 2149, 2390, 1999, 2151, 2126, 14337, 1029, 2339, 1010, 2005, 2025, 5782, 2000, 3443, 4268, 1010, 1997, 2607, 999, 1045, 4299, 1045, 2071, 2360, 2008, 2023, 2003, 1037, 10958, 15780, 1012, 2074, 2178, 6721, 1010, 14040, 7971, 19238, 1999, 1037, 2146, 2240, 1997, 2500, 2013, 1037, 3056, 18792, 1012, 2053, 1012, 13718, 1010, 1996, 19238, 2008, 2775, 23301, 2111, 2024, 14337, 2003, 2763, 1996, 2087, 2691, 3424, 1011, 12935, 18856, 17322, 2015, 2157, 2279, 2000, 1996, 5081, 1523, 2017, 1521, 2222, 9038, 2009, 1012, 1524, 2043, 4508, 1010, 2174, 1010, 26960, 2869, 2064, 6524, 6709, 2339, 2025, 2383, 2336, 2003, 14337, 1012, 2129, 2003, 2009, 14337, 2000, 2025, 2215, 4268, 1029, 2003, 2009, 14337, 2005, 1037, 2450, 2000, 5136, 2841, 2000, 2022, 1037, 2711, 2061, 2172, 2008, 2016, 5300, 2014, 2166, 2058, 2008, 1997, 1037, 2711, 2040, 2515, 2025, 4839, 1029, 2003, 2009, 14337, 2005, 1037, 2450, 2000, 2156, 2841, 2004, 2383, 4276, 2648, 1997, 2108, 1037, 3788, 4297, 19761, 4263, 1029, 2129, 2003, 2009, 14337, 2005, 1037, 2450, 2000, 5247, 2014, 2166, 2725, 2054, 2016, 4122, 1010, 2025, 7386, 2075, 2500, 1010, 2542, 1037, 2204, 2166, 2011, 2014, 2219, 3408, 1029, 2129, 2003, 2009, 2025, 14337, 2005, 2060, 2111, 2000, 7438, 1037, 2450, 2004, 2065, 2016, 2323, 2444, 2037, 2126, 1010, 2030, 4685, 1996, 4972, 2008, 2027, 5987, 1997, 2014, 1010, 2066, 2016, 1521, 1055, 2070, 3538, 1997, 8119, 10394, 1029, 2129, 2003, 2009, 2025, 14337, 2000, 5987, 2500, 2000, 8688, 2037, 8069, 1998, 5544, 1998, 2051, 1998, 2943, 2061, 2027, 2064, 2444, 1999, 1037, 5450, 2008, 2017, 5987, 1997, 2068, 1029, 2129, 2003, 2009, 2025, 14337, 2000, 5987, 2060, 2111, 2000, 3891, 2037, 2740, 1998, 2037, 3268, 2074, 2000, 2191, 2017, 2514, 2488, 1029, 2129, 2003, 2009, 2025, 14337, 2000, 18292, 2008, 2619, 2202, 2006, 1037, 27547, 10859, 2130, 2004, 2017, 2031, 2053, 6808, 2000, 12054, 2923, 1029, 2129, 2003, 2009, 14337, 2000, 2025, 3288, 2047, 2111, 2046, 2019, 2525, 2058, 16340, 8898, 2088, 1029, 2129, 2003, 2009, 14337, 2000, 2025, 8843, 2047, 2336, 2043, 2045, 2024, 2061, 2116, 2040, 2525, 4839, 1998, 2444, 1999, 14624, 1010, 2030, 4788, 1010, 2138, 2053, 2028, 11092, 2015, 2068, 1029, 2129, 2003, 2009, 14337, 2005, 2028, 2711, 2000, 2025, 2424, 2037, 6064, 2061, 2172, 6020, 2000, 3649, 2253, 1999, 2000, 2019, 27093, 2030, 4704, 2775, 1029, 2129, 2003, 2009, 2025, 14337, 2005, 1037, 2711, 2000, 2156, 3209, 2004, 2061, 2590, 2008, 2027, 2342, 2070, 19614, 1997, 3209, 2000, 4839, 3458, 2037, 2219, 2331, 1029, 2129, 2003, 2009, 14337, 2005, 2619, 2000, 2175, 1998, 14570, 2307, 2477, 3209, 1010, 2738, 2084, 3443, 2047, 2111, 2000, 3413, 2008, 10859, 2125, 2006, 2000, 1012, 2009, 1521, 1055, 2025, 1996, 2775, 23301, 2040, 2024, 14337, 1012, 2012, 1996, 7091, 1997, 2026, 3424, 1011, 2775, 23301, 18856, 17322, 2015, 2186, 1010, 1045, 2245, 1045, 2001, 2589, 7149, 2007, 4337, 3512, 13818, 2875, 1996, 3601, 2000, 2022, 2775, 23301, 1010, 2012, 2560, 2005, 1996, 2051, 1011, 2108, 1012, 2021, 2053, 1010, 13718, 2028, 4854, 7615, 2121, 2006, 2026, 2060, 9927, 4415, 2134, 1521, 1056, 3477, 2151, 3086, 2000, 1996, 2391, 1997, 1996, 2186, 1998, 2253, 2006, 2000, 2886, 2033, 2005, 10368, 2619, 2842, 1521, 1055, 18024, 1012, 2004, 2007, 1996, 3424, 1011, 2775, 23301, 18856, 17322, 2015, 2186, 1010, 2009, 2001, 1037, 3043, 2008, 2038, 2579, 3674, 8466, 2000, 3066, 2007, 1998, 2738, 2084, 16360, 14122, 2009, 2035, 2182, 1010, 1045, 1521, 2222, 3432, 3073, 6971, 2000, 1996, 2093, 3033, 1012, 1011, 3424, 1011, 2775, 23301, 1024, 1037, 12932, 3544, 2112, 1015, 1011, 3424, 1011, 2775, 23301, 1024, 1037, 12932, 3544, 2112, 1016, 1011, 3424, 1011, 2775, 23301, 1024, 1037, 12932, 3544, 2112, 1017, 3243, 2070, 2051, 2067, 1010, 1045, 9845, 2408, 1037, 9927, 2695, 2012, 2775, 23301, 9527, 4709, 1996, 2327, 2531, 4436, 2025, 2000, 2031, 4268, 1006, 1998, 3961, 2775, 23301, 1012, 1007, 1045, 3342, 2009, 2145, 2004, 2108, 1037, 2200, 2204, 3191, 1012, 2004, 1045, 2097, 2574, 2022, 5873, 1037, 2047, 27885, 1013, 1043, 6038, 2005, 26261, 15928, 3989, 1010, 1045, 2245, 2009, 2453, 2393, 2026, 2553, 2065, 2716, 2242, 2000, 2265, 2026, 4436, 1998, 10580, 2008, 1045, 1521, 2310, 2445, 2023, 2035, 1037, 2843, 1997, 2245, 1012, 2061, 1010, 2635, 1037, 7293, 2013, 2775, 23301, 9527, 1010, 1045, 1521, 2310, 2787, 2000, 2191, 2026, 2219, 2862, 1997, 2531, 4436, 2008, 1045, 2071, 2228, 1997, 2125, 1996, 2327, 1997, 2026, 2132, 2023, 2851, 2339, 1045, 2180, 1521, 1056, 2022, 2383, 4268, 1012, 4436, 1045, 2323, 2025, 2031, 4268, 2061, 1010, 2182, 2027, 2024, 1010, 1999, 2053, 3327, 2344, 1024, 1015, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2175, 2083, 1996, 15556, 2008, 10032, 5320, 1012, 1045, 2064, 1521, 1056, 3233, 2000, 2022, 5305, 1012, 1045, 1521, 2310, 9511, 2635, 3255, 20992, 2044, 12058, 5134, 2074, 2000, 4468, 1996, 19029, 2008, 2027, 3426, 1012, 1016, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2175, 2083, 1996, 6888, 18755, 1998, 6245, 10032, 5320, 1012, 1045, 3643, 2026, 20039, 1998, 2491, 1012, 1017, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2175, 2083, 1996, 3255, 10032, 5320, 1010, 2030, 1996, 12812, 2008, 3310, 2007, 6959, 1012, 1045, 2064, 3066, 2007, 3255, 1010, 2021, 1045, 1521, 1049, 2025, 2055, 2000, 24680, 3288, 2009, 2588, 2870, 1012, 1045, 1521, 1049, 2025, 1037, 16137, 11663, 2923, 1012, 1018, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 4098, 2041, 2026, 2740, 5427, 2005, 1996, 2095, 1010, 2030, 3477, 1037, 2843, 2041, 1997, 4979, 2870, 2005, 1996, 4072, 2966, 2729, 1012, 5667, 1010, 2038, 3087, 2246, 2012, 2129, 2172, 2023, 4485, 5366, 1029, 1045, 2031, 1012, 2009, 1521, 1055, 9577, 1012, 1019, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 3066, 2007, 17503, 2902, 6078, 1010, 2030, 3891, 2383, 2512, 1011, 2966, 2135, 4072, 8853, 3140, 2588, 2033, 1012, 2025, 2008, 2035, 7435, 2024, 2066, 2023, 1010, 2021, 1045, 1521, 1049, 2092, 5204, 2008, 2070, 2097, 4685, 8853, 2008, 2024, 14057, 2005, 3209, 1010, 2130, 2043, 2027, 4736, 2007, 1996, 5426, 1997, 1996, 5022, 1012, 1020, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 3891, 1996, 3809, 12763, 2008, 2272, 2007, 10032, 1998, 6959, 1010, 2164, 2331, 1012, 10032, 3475, 1521, 1056, 2004, 4795, 2004, 2009, 2109, 2000, 2022, 1010, 2021, 1996, 10831, 2024, 2145, 3809, 1998, 6151, 2229, 7895, 3468, 1012, 1045, 1521, 2310, 2579, 10831, 2077, 1010, 2021, 2025, 2043, 3294, 14203, 1012, 1021, 1012, 1045, 2123, 1521, 1056, 2215, 1037, 2282, 2440, 1997, 2111, 4582, 2039, 2026, 28629, 1012, 5667, 1010, 1045, 2876, 1521, 1056, 2130, 2215, 2000, 2022, 1999, 1037, 6959, 2282, 1010, 2292, 2894, 2022, 1996, 2711, 2006, 4653, 1999, 2028, 1012, 1022, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2022, 3132, 1999, 1996, 9440, 1998, 8974, 1045, 2064, 16678, 2138, 1997, 10032, 1012, 1045, 1521, 1049, 1037, 4961, 4632, 4639, 1010, 1045, 1521, 2222, 4521, 3649, 1996, 3109, 1045, 2215, 1012, 1023, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2022, 3132, 1999, 1996, 3450, 2008, 1045, 2064, 5589, 1999, 2138, 1997, 10032, 2030, 2695, 19362, 11667, 1012, 1045, 2031, 1037, 24590, 3973, 3161, 2166, 1012, 1045, 1521, 1049, 2025, 2055, 2000, 10654, 3367, 4892, 2870, 1012, 2184, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 3335, 2495, 1998, 2476, 6695, 2138, 1997, 10032, 1998, 2775, 1011, 4373, 2075, 1012, 1045, 2453, 2130, 2131, 2000, 6162, 2242, 6179, 2004, 1037, 2765, 1012, 2340, 1012, 1045, 2123, 1521, 1056, 2215, 2026, 2303, 2000, 2022, 1996, 3677, 2000, 2019, 2648, 18445, 2099, 1012, 3241, 2055, 10032, 2467, 3084, 2033, 2228, 1997, 2008, 2028, 3496, 2013, 12114, 1012, 2017, 2113, 1996, 2028, 1012, 2260, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 9015, 1996, 5741, 1998, 4568, 2303, 3746, 1998, 2740, 3431, 2008, 3582, 10032, 1012, 1045, 4521, 5399, 11519, 1010, 6912, 1037, 2978, 1010, 4468, 5850, 1998, 6544, 1010, 1998, 5463, 2000, 2026, 2966, 3791, 1012, 1045, 1521, 1049, 2025, 1999, 1996, 2190, 4338, 2008, 1045, 1521, 2310, 2412, 2042, 1999, 1010, 2021, 1045, 1521, 1049, 7965, 1012, 1045, 1521, 1040, 2066, 2000, 2994, 2008, 2126, 1012, 2410, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 3066, 2007, 2183, 23389, 2035, 1996, 26479, 1997, 10032, 2069, 2000, 2031, 1037, 28616, 21539, 2030, 8116, 2145, 1011, 2141, 1012, 2008, 2052, 2022, 2066, 2770, 1037, 8589, 2069, 2000, 2022, 14209, 2012, 1996, 2203, 1012, 2035, 2008, 2051, 1998, 3947, 1998, 8688, 13842, 1012, 2403, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 5247, 2769, 2006, 2619, 2842, 1521, 1055, 2495, 1012, 1045, 1521, 2222, 2131, 2000, 3579, 2006, 2026, 2219, 1012, 2321, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 5247, 2769, 2006, 6976, 7435, 7879, 1998, 8138, 2902, 22318, 1012, 10032, 1998, 1996, 2336, 2008, 2765, 2812, 7167, 2966, 8236, 1012, 2385, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 5247, 2769, 9343, 2035, 1996, 14751, 4845, 1521, 1055, 10899, 1012, 2009, 1521, 1055, 3262, 2035, 2058, 18098, 6610, 2094, 6081, 10231, 4312, 1012, 1045, 1521, 2222, 5681, 4965, 9604, 2005, 1996, 2261, 4268, 2040, 2191, 2026, 7201, 1010, 2021, 2005, 1996, 2087, 2112, 1010, 2151, 10899, 1045, 4965, 2024, 2005, 2026, 2219, 20195, 1012, 2459, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2031, 2000, 5247, 2769, 9343, 1037, 2878, 2047, 17828, 2005, 2619, 2296, 2416, 2706, 1012, 4268, 2175, 2083, 1037, 2843, 1997, 4253, 2004, 2027, 4982, 1012, 1045, 1521, 1040, 2738, 4377, 2870, 1012, 2324, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2031, 2000, 5247, 2062, 2005, 1037, 2188, 2011, 2108, 3132, 2000, 2752, 1999, 3835, 2082, 4733, 1012, 2539, 1012, 1045, 2123, 1521, 1056, 2054, 2000, 2031, 2000, 5247, 2062, 2005, 1037, 2188, 2011, 2108, 3223, 2000, 2131, 1037, 3469, 2028, 2007, 2062, 18390, 1012, 2004, 2146, 2004, 1045, 2031, 2026, 2219, 2282, 1010, 1045, 1521, 1049, 3407, 1012, 2322, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2031, 2000, 5247, 2062, 2005, 1037, 2188, 2011, 2108, 3132, 2000, 3924, 1999, 2485, 10039, 2000, 2816, 2030, 2247, 3902, 5847, 1012, 2538, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2031, 2000, 5247, 2062, 2005, 1037, 2188, 2011, 2108, 3132, 2000, 3924, 2008, 2031, 1037, 2775, 1011, 5379, 2810, 1006, 2053, 12313, 10714, 2015, 1010, 3536, 4084, 1010, 4385, 1012, 1007, 2570, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2031, 2000, 3477, 2005, 1996, 6450, 2482, 5427, 2008, 1037, 9458, 2052, 5478, 1012, 1045, 3275, 2008, 1045, 3477, 2438, 2005, 2026, 2219, 2004, 2009, 2003, 1012, 2603, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 2031, 2000, 3477, 2005, 12394, 1998, 21892, 2323, 1037, 4845, 2131, 2046, 4390, 1012, 2484, 1012, 1045, 2097, 5247, 2625, 2769, 2006, 4234, 1998, 2005, 5798, 2015, 1012, 2842, 1010, 1045, 2064, 8984, 2005, 1996, 9604, 2008, 1045, 2079, 4965, 2000, 2022, 1997, 1037, 3020, 3737, 1012, 2423, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 15697, 2769, 1999, 1037, 6957, 2008, 1045, 2097, 2196, 2156, 1037, 5024, 2709, 2006, 1012, 4268, 3465, 1037, 2843, 1997, 2769, 2058, 1996, 2607, 1997, 2037, 3268, 1012, 10238, 2024, 1010, 1045, 1521, 1040, 2196, 2156, 1037, 27211, 1997, 2009, 16360, 14326, 1999, 2151, 2126, 1012, 2656, 1012, 1045, 2097, 5247, 2625, 2006, 26298, 1012, 2048, 2111, 4606, 1037, 3899, 16678, 2625, 2084, 1037, 2155, 1997, 2274, 1012, 2057, 7166, 2000, 5949, 2625, 2205, 1012, 2676, 1012, 1045, 2097, 5247, 2625, 2006, 16548, 1012, 2625, 2300, 2734, 2005, 14533, 1998, 19692, 1010, 2625, 3279, 1997, 3684, 2004, 2111, 2175, 1999, 1998, 2041, 1996, 4303, 1010, 2625, 5992, 2373, 2109, 2004, 8491, 2477, 2097, 2022, 2478, 2009, 1010, 4385, 1012, 2654, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 5247, 2769, 2006, 6450, 2154, 1011, 2729, 2030, 3336, 28032, 7747, 1012, 2756, 1012, 1045, 2097, 5247, 2625, 2006, 10885, 2015, 1998, 26256, 2015, 1012, 2842, 1010, 1045, 1521, 2222, 2022, 2583, 2000, 8984, 2000, 2175, 2006, 2488, 10885, 2015, 1998, 26256, 2015, 1012, 2382, 1012, 1045, 1521, 2222, 2022, 2583, 2000, 2444, 1999, 2151, 2188, 1998, 2181, 2008, 1045, 2064, 8984, 1010, 2302, 2108, 4986, 2055, 2383, 1037, 2775, 1011, 5379, 5101, 1012, 1045, 2180, 1521, 1056, 2031, 2000, 4737, 2055, 2334, 7087, 3111, 1010, 21877, 3527, 24862, 2015, 1010, 2030, 4483 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2728, 1041, 1012, 10406, 3664, 1997, 4572, 2669, 2438, 2003, 2438, 1012, 1996, 2206, 2003, 1037, 2862, 1997, 2256, 2334, 2375, 12088, 2008, 2024, 3173, 2039, 15902, 7574, 5290, 1012, 3531, 2655, 2068, 1998, 2292, 2068, 2113, 2115, 5448, 2006, 1996, 2917, 1012, 5205, 2198, 6044, 1010, 6275, 2475, 1011, 24426, 2509, 12411, 5558, 7295, 1012, 6044, 1030, 6372, 1012, 7081, 1012, 18079, 5205, 5545, 21232, 1010, 6275, 2509, 1011, 6347, 12411, 7849, 6843, 3388, 1012, 21232, 1030, 6372, 1012, 7081, 1012, 18079, 4387, 7150, 19533, 1010, 4464, 2683, 1011, 6535, 2683, 2509, 16360, 16207, 2319, 1012, 19533, 1030, 6372, 1012, 7081, 1012, 18079, 4387, 8709, 2474, 5558, 2666, 1010, 6275, 2509, 1011, 4764, 1010, 16360, 7712, 16001, 1012, 2474, 5558, 2666, 1030, 6372, 1012, 7081, 1012, 18079, 4387, 2745, 11782, 1010, 29386, 1011, 19123, 2581, 1010, 16360, 7712, 25293, 2140, 1012, 11782, 1030, 6372, 1012, 7081, 1012, 18079, 4387, 4422, 7782, 14194, 1010, 5401, 2575, 1011, 22288, 2581, 1010, 10373, 1030, 2742, 1012, 4012, 4387, 5545, 18672, 8630, 2080, 1010, 6275, 2549, 1011, 19652, 2683, 1010, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1012, 4387, 6159, 2057, 21217, 1010, 6275, 2509, 1011, 6353, 21486, 1010, 10373, 1030, 2742, 1012, 4012, 1012, 2339, 2003, 2045, 2061, 2172, 3778, 2006, 2256, 2334, 2493, 2000, 5463, 1998, 4619, 2013, 2267, 1029, 2339, 2024, 2027, 14678, 2187, 2007, 1996, 11213, 2008, 2302, 1037, 3538, 1997, 22433, 2013, 1037, 1523, 2267, 1524, 2030, 1523, 2118, 1524, 2027, 2097, 2444, 2166, 2004, 1037, 4945, 1029, 2116, 2111, 2542, 1999, 4572, 2669, 1011, 12704, 2219, 5014, 1010, 3765, 1010, 12348, 7958, 1010, 5075, 3200, 2000, 2256, 2148, 1998, 2031, 2204, 5841, 1012, 2027, 2444, 11361, 1998, 18579, 1012, 2021, 1010, 4406, 2037, 12746, 1010, 2040, 2031, 3230, 2267, 1010, 2027, 2031, 2053, 3014, 1517, 4496, 1996, 8216, 7016, 2008, 3632, 2007, 2009, 1012, 2058, 1996, 2086, 1996, 4572, 2669, 2082, 2837, 2038, 3651, 2116, 2493, 2024, 2025, 2267, 3430, 1012, 2116, 2040, 6904, 21928, 3834, 3973, 24970, 1999, 1996, 14279, 2107, 2004, 12945, 1010, 3536, 21398, 1010, 7123, 3384, 1998, 1010, 1999, 2553, 2017, 1521, 2310, 2042, 2185, 2013, 1996, 2181, 2005, 1037, 2261, 2086, 1010, 2019, 5186, 8228, 20560, 2840, 2565, 2008, 10255, 2062, 1997, 2049, 2493, 2000, 1996, 2088, 8228, 2047, 2259, 2820, 1997, 20560, 2840, 2084, 2151, 2082, 1999, 1996, 2406, 1012, 2250, 2486, 1998, 2390, 18672, 2278, 3454, 1010, 2247, 2007, 1996, 2375, 7285, 12738, 2565, 1010, 3749, 1037, 2476, 3192, 2000, 2216, 2040, 4792, 2147, 2185, 2013, 1996, 25722, 1997, 2019, 2436, 1012, 2007, 2172, 5470, 17883, 25249, 2015, 2024, 2085, 6419, 7588, 2747, 2109, 1999, 2256, 2082, 2291, 1012, 2054, 2003, 16586, 2004, 2019, 8144, 1998, 14044, 2000, 2070, 2493, 2071, 6011, 2000, 2022, 1037, 3105, 6359, 2000, 1037, 3484, 1997, 2500, 1012, 1996, 3114, 1029, 2493, 1521, 9019, 2075, 4813, 2097, 11737, 5498, 4095, 1010, 2975, 2068, 2302, 1996, 4813, 2734, 2000, 7515, 2005, 3053, 2431, 1997, 1996, 5841, 2747, 2800, 1999, 2256, 2451, 1012, 2023, 3768, 1997, 18921, 25807, 2052, 2485, 1996, 2341, 2000, 10845, 6224, 23106, 2030, 3595, 10980, 2140, 4460, 1012, 2030, 2009, 2071, 2486, 2068, 2000, 3362, 2046, 2037, 2219, 10306, 1998, 3477, 2000, 4503, 4813, 3839, 3253, 2004, 2112, 1997, 2256, 2270, 2495, 2291, 1012, 4572, 2669, 1011, 12704, 15582, 3095, 2015, 2031, 2499, 2524, 2000, 3288, 2047, 5841, 2000, 2256, 2181, 1012, 14595, 2924, 1998, 12098, 3995, 2031, 1998, 2097, 3288, 5606, 1997, 2047, 5841, 2734, 2000, 12992, 2256, 2334, 4610, 1012, 2009, 1521, 1055, 2051, 2000, 2709, 2000, 1996, 12393, 2008, 2025, 2035, 2256, 2336, 2024, 2267, 3430, 1012, 2292, 1521, 1055, 3613, 4252, 1996, 3937, 4813, 2734, 2000, 16021, 5397, 2008, 2296, 3076, 10295, 1996, 4813, 2008, 2097, 2693, 2256, 2451, 2830, 1012, 1996, 2197, 2518, 2057, 2123, 1521, 1056, 2215, 2000, 2156, 1999, 1996, 3645, 1997, 2925, 12433, 2003, 1037, 3696, 5517, 1010, 1523, 4572, 2669, 1998, 3449, 10845, 2342, 2025, 6611, 1012, 1524, 1523, 2057, 1521, 2222, 2031, 2000, 3413, 2009, 2000, 2424, 2041, 2054, 1521, 1055, 1999, 2009, 1012, 1524, 2947, 3764, 2280, 3537, 5882, 1997, 1996, 2160, 7912, 21877, 10483, 2072, 2043, 2356, 2055, 8112, 16302, 1012, 2092, 1010, 2027, 2106, 1010, 1998, 2085, 2057, 1521, 2128, 4531, 2041, 2008, 2023, 2003, 2025, 3243, 2054, 2001, 5763, 1012, 2085, 1996, 2200, 4314, 7740, 8037, 2040, 5444, 2005, 8112, 16302, 2024, 2085, 3352, 1999, 27942, 15070, 2011, 2116, 1997, 2049, 7040, 1012, 2021, 2008, 1521, 1055, 2054, 6433, 2043, 2017, 1521, 2128, 2025, 2218, 26771, 2011, 1996, 6830, 2270, 1012, 1045, 2812, 1010, 2339, 5949, 2051, 3752, 1996, 3021, 1029, 2027, 2031, 3049, 5356, 2000, 5333, 1012, 2085, 2292, 1521, 1055, 3435, 2830, 2000, 2197, 2733, 1999, 13635, 1012, 1523, 1045, 2572, 5627, 2000, 2202, 1037, 3382, 1012, 1524, 2947, 3090, 5205, 2198, 4754, 1040, 1011, 19379, 3877, 1999, 9179, 2019, 27352, 3789, 1999, 1996, 8244, 1998, 3423, 3821, 2837, 2000, 4957, 7079, 1996, 8323, 2000, 1996, 4935, 1997, 19960, 5555, 3593, 1012, 2054, 3382, 1029, 1996, 3382, 2008, 1996, 2783, 3447, 1999, 2899, 1010, 1040, 1012, 1039, 1012, 2003, 4129, 1996, 3606, 1012, 2065, 2027, 1521, 2128, 2025, 2583, 2000, 2067, 2039, 2037, 4447, 1010, 26457, 1517, 2008, 1521, 1055, 7081, 26457, 1517, 2097, 2022, 2006, 1996, 8103, 2005, 4346, 4423, 6325, 2000, 1996, 5190, 2794, 2000, 1996, 2783, 9372, 1012, 2029, 2217, 1997, 7561, 2079, 2017, 4299, 2000, 2217, 2006, 1029, 1037, 3103, 3485, 8368, 2006, 5095, 2089, 2324, 1010, 2286, 3849, 2000, 2022, 6090, 4063, 2075, 2000, 2023, 2933, 1012, 2009, 5799, 3099, 2703, 3393, 13704, 2000, 2060, 4763, 5572, 2283, 11141, 2040, 15391, 1996, 2933, 1012, 4593, 1996, 3103, 3485, 2038, 2025, 2363, 1996, 2047, 3331, 2685, 1024, 5572, 2283, 1010, 14314, 1998, 2204, 4364, 1025, 1996, 3237, 3589, 1999, 2899, 1040, 1012, 1039, 1012, 1010, 2919, 4364, 1012, 2108, 1996, 3664, 1997, 4572, 2669, 1045, 2572, 28647, 2094, 2008, 7079, 1996, 2110, 7016, 12232, 2000, 2256, 8323, 2097, 2025, 3233, 2894, 2004, 1037, 3584, 3277, 1012, 2026, 3105, 2003, 2000, 11245, 2043, 1996, 24585, 1997, 3901, 1998, 1996, 2103, 1521, 1055, 4610, 2003, 5561, 1012, 2092, 1010, 1045, 1521, 1049, 11273, 999, 1999, 4572, 2669, 2057, 2031, 5281, 1996, 2204, 11174, 1997, 2256, 2976, 2231, 1012, 10659, 2081, 2031, 2357, 3056, 2752, 1997, 2256, 2103, 1006, 1998, 2060, 3655, 2802, 1996, 2406, 1007, 2046, 13121, 2075, 10986, 1997, 2320, 1011, 17026, 11681, 1012, 2057, 2024, 3140, 2000, 2490, 2111, 2040, 2053, 2936, 2031, 1006, 10262, 2008, 2027, 2320, 2018, 1007, 1996, 3754, 2030, 1996, 2097, 2000, 2490, 3209, 1012, 7773, 2175, 2039, 1010, 1998, 2256, 7790, 2015, 4800, 22086, 1012, 2048, 2477, 2442, 4148, 1012, 2034, 1010, 3099, 3393, 13704, 3685, 23701, 6299, 1998, 2442, 22102, 1996, 3021, 1012, 2117, 1010, 2009, 1521, 1055, 2051, 2005, 2017, 2000, 3693, 1996, 2954, 1012, 2707, 4214, 2115, 2110, 4505, 1998, 2292, 2068, 2113, 2129, 2017, 2514, 1012, 2057, 2031, 2985, 2048, 4884, 6521, 7161, 2000, 3413, 6094, 2008, 2052, 23469, 2216, 2746, 2125, 2274, 2086, 1997, 9092, 2546, 2108, 2794, 2000, 4572, 2669, 1521, 1055, 7574, 9372, 1012, 2057, 2031, 2356, 2008, 3263, 1011, 4606, 5841, 1998, 28715, 1997, 2256, 2334, 8323, 2008, 2064, 2069, 4148, 2011, 7079, 2125, 1996, 7016, 12232, 2000, 2068, 2005, 1996, 2197, 2195, 2086, 1012, 2633, 1010, 1996, 2708, 3237, 1997, 2256, 2110, 1010, 3099, 2703, 3393, 13704, 2001, 6380, 2006, 4465, 1996, 4495, 2000, 19919, 1999, 2392, 1997, 1996, 22713, 1998, 3361, 3821, 2837, 1012, 1996, 3395, 2001, 1996, 3361, 12893, 2012, 1996, 2533, 1997, 2740, 1998, 2529, 2578, 1012, 3099, 2703, 1054, 1012, 3393, 13704, 3230, 1996, 6755, 7464, 5103, 2005, 6141, 1052, 1012, 18132, 2006, 5095, 1010, 2089, 2340, 2012, 4151, 7124, 3583, 1999, 11929, 4212, 1012, 1996, 3099, 2003, 1037, 2034, 5542, 2000, 4172, 1521, 1055, 7133, 1010, 11425, 18952, 19333, 1012, 4172, 12754, 2010, 4635, 1997, 6755, 7464, 1010, 14299, 1521, 1055, 3284, 6344, 1010, 1999, 2285, 1012, 15885, 2024, 1006, 1048, 1012, 2000, 1054, 1012, 1007, 4172, 18132, 1025, 3099, 3393, 13704, 1025, 27616, 23025, 3270, 6784, 1010, 4172, 1521, 1055, 2388, 1025, 1998, 4074, 18132, 1010, 4172, 1521, 1055, 2567, 1010, 2040, 2003, 1037, 1057, 1012, 1055, 1012, 3212, 12961, 3932, 3457, 1998, 3507, 6755, 7464, 1012, 22975, 2102, 6302, 2011, 16450, 1037, 1012, 12872, 2048, 28165, 2415, 7314, 2020, 3858, 3728, 2007, 1996, 7081, 3099, 1521, 1055, 2400, 2005, 2326, 1998, 6951, 2964, 1012, 1996, 2400, 2003, 2445, 2000, 7314, 2007, 2012, 2560, 3156, 2847, 1997, 2326, 1999, 2028, 2095, 1012, 2957, 2474, 6767, 2666, 1998, 20328, 21721, 1010, 2119, 1997, 4572, 2669, 1010, 2020, 3591, 2007, 1996, 2400, 2011, 2984, 28165, 2006, 2089, 1021, 2426, 3507, 7314, 1998, 2415, 3095, 1012, 2048, 2060, 28165, 2415, 7314, 2097, 4374, 2037, 2400, 1999, 2238, 1012, 2011, 2728, 1041, 1012, 10406, 3664, 1997, 4572, 2669, 2043, 2017, 2020, 1037, 2775, 1010, 4983, 2115, 3008, 2020, 24665, 10128, 7747, 1010, 2017, 2020, 4036, 2008, 16718, 2003, 1996, 2190, 3343, 1012, 2115, 3008, 2409, 2017, 8385, 2008, 1996, 2190, 2126, 2000, 7796, 1996, 4847, 1997, 2500, 2001, 2083, 3606, 20938, 1998, 16718, 1012, 4593, 1010, 2023, 3115, 2515, 2025, 6611, 2000, 3099, 2703, 3393, 13704, 1010, 2012, 2560, 2004, 2521, 2004, 1996, 2811, 1998, 2010, 2576, 6716, 2024, 4986, 1012, 4983, 2017, 2031, 2042, 2542, 1999, 1037, 5430, 2030, 2042, 24735, 1999, 1037, 16571, 2005, 1996, 2197, 2261, 2086, 1010, 2017, 2113, 2008, 7081, 2003, 3631, 1012, 2044, 19654, 1996, 2543, 6215, 1999, 5116, 4572, 2669, 1010, 3099, 3393, 13704, 2623, 1996, 2110, 2001, 3631, 1010, 2021, 2002, 2052, 3046, 1998, 2424, 2070, 2769, 1998, 4219, 2000, 2393, 2149, 2041, 1012, 2092, 1011, 2124, 2336, 1521, 1055, 5878, 2097, 3500, 2000, 2166, 2043, 1996, 18081, 19673, 13997, 3004, 7545, 2037, 26380, 2047, 2265, 1010, 1523, 15030, 5283, 1010, 5099, 6154, 1998, 2980, 16168, 2015, 1524, 2000, 1996, 2270, 3004, 2006, 4465, 1010, 2089, 2539, 2012, 1016, 1052, 1012, 1049, 1012, 3819, 2005, 2945, 2007, 2336, 1999, 3653, 1011, 1047, 2083, 3587, 3694, 1010, 2023, 2265, 3640, 2019, 10990, 4955, 2000, 1996, 3894, 1997, 4623, 1998, 3004, 1012, 1999, 18081, 19673, 1521, 1055, 10990, 2047, 2537, 1010, 1996, 2088, 1010, 2895, 1010, 1998, 7603, 1997, 5878, 2011, 2990, 3653, 7630, 26824, 1010, 2585, 23680, 8551, 1010, 21854, 2546, 2829, 1010, 1998, 14807, 8040, 10222, 2243, 2139, 19723, 14862, 2015, 3500, 14954, 2135, 2000, 2166, 2004, 2402, 9501, 16959, 2000, 1996, 7357, 1997, 22518, 3909, 2980, 16168, 2015, 1010, 1037, 5613, 24151, 4586, 2386, 1010, 1998, 1037, 22639, 2040, 2442, 9462, 2015, 2010, 3571, 2000, 2191, 2814, 2007, 1996, 17082, 2879, 2006, 2327, 1997, 2010, 2793, 1012, 2011, 2728, 1041, 1012, 10406, 3664, 1997, 4572, 2669, 2009, 1521, 1055, 2051, 2005, 1996, 8141, 1997, 2023, 5930, 2000, 3357, 2039, 2000, 1996, 5127, 1012, 2256, 8323, 2031, 2000, 2022, 3825, 999, 1996, 2506, 4945, 2000, 3477, 2023, 7016, 2003, 16039, 1048, 1011, 1037, 1998, 4193, 4279, 1996, 4495, 2000, 6039, 2090, 5018, 2000, 3263, 24596, 1011, 3201, 5841, 2007, 6666, 1012, 2009, 1521, 1055, 2051, 2000, 2644, 2652, 2576, 2399, 2008, 2031, 1037, 3622, 3466, 2006, 2111, 1521, 1055, 3268, 1012, 1996, 6234, 3477, 5963, 2000, 1996, 8323, 2003, 24783, 3569, 2011, 3537, 1998, 3951, 22680, 1012, 1996, 3291, 1029, 4001, 2343, 6796, 24493, 15422, 1998, 5882, 1997, 1996, 2160, 2928, 6574, 2015, 10214, 2000, 3288, 1996, 6094, 2000, 2037, 7972, 4574, 8158, 2005, 1037, 3789, 1012, 2009, 1521, 1055, 2051, 2000, 11240, 18622, 4371, 1998, 2707, 9451, 2037, 4822, 2007, 3042, 4455, 1998, 22028, 4129, 2068, 2000, 3477, 1996, 2110, 1521, 1055, 7016, 2000, 1996, 8323, 1012, 1037, 3145, 2311, 1999, 5116, 4572, 2669, 2097, 2574, 2131, 2047, 2166, 1010, 2429, 2000, 3488, 2623, 3728, 2011, 1996, 2103, 1997, 4572, 2669, 1012, 12098, 3995, 5821, 2177, 1521, 1055, 11310, 14763, 1997, 5018, 3176, 2440, 1011, 2051, 5126, 2058, 1996, 2279, 4376, 2706, 2003, 15870, 1996, 2194, 1521, 1055, 3740, 1002, 1016, 1012, 1018, 2454, 10525, 1997, 1996, 2280, 23680, 29165, 2100, 1521, 1055, 2533, 3573, 2046, 1037, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 8013, 3967, 4322, 1998, 5971, 4075, 1012, 2124, 2005, 2037, 6276, 3341, 8013, 3967, 5461, 1998, 9525, 2974, 11107, 1010, 12098, 3995, 5821, 2177, 7126, 3640, 2037, 7846, 2007, 8013, 2490, 2578, 2083, 1037, 3528, 1997, 2367, 5396, 2015, 1010, 2951, 25095, 1010, 1998, 28749, 4007, 3454, 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, 1996, 2317, 2160, 9927, 1024, 2852, 1012, 10454, 7226, 2368, 1011, 6866, 2011, 2239, 2255, 2385, 1010, 2249, 2012, 1022, 1024, 4466, 7610, 3968, 2102, 2651, 1010, 3053, 2431, 1037, 2301, 2044, 3235, 9678, 2332, 1010, 3781, 1012, 2419, 1996, 3181, 2233, 2006, 2899, 2005, 9945, 1010, 15295, 1997, 5190, 2234, 2000, 1996, 2120, 6670, 1999, 2899, 1010, 1040, 1012, 1039, 1012, 2005, 1996, 3235, 9678, 2332, 1010, 3781, 1012, 3986, 12276, 1012, 1996, 3986, 2000, 2852, 1012, 2332, 2038, 2042, 2330, 2144, 2257, 1010, 2021, 1996, 12276, 2001, 8394, 2349, 2000, 7064, 12855, 1012, 2004, 2343, 8112, 2056, 1010, 2295, 8394, 1010, 1000, 2023, 2003, 1037, 2154, 2008, 2052, 2025, 2022, 6380, 1012, 1000, 2343, 8112, 1010, 2587, 2011, 1996, 2034, 2155, 1010, 7255, 1996, 3986, 1998, 2059, 3764, 2012, 1996, 12276, 5103, 1999, 3932, 1997, 2852, 1012, 2332, 1005, 1055, 2147, 2000, 2191, 2010, 3959, 1037, 4507, 2005, 2035, 1012, 2076, 2010, 4613, 1010, 2343, 8112, 6966, 2149, 2008, 1996, 5082, 2875, 2852, 1012, 2332, 1005, 1055, 4432, 2038, 2025, 2272, 4089, 1998, 2045, 2003, 2145, 2062, 2000, 2079, 2000, 7818, 4495, 1998, 2191, 2256, 3842, 2062, 2074, 1024, 2256, 2147, 2003, 2025, 2589, 1012, 1998, 2061, 2006, 2023, 2154, 1010, 1999, 2029, 2057, 8439, 1037, 2158, 1998, 1037, 2929, 2008, 2106, 2061, 2172, 2005, 2023, 2406, 1010, 2292, 2149, 4009, 3997, 2013, 2216, 3041, 11785, 1012, 2034, 1998, 16097, 1010, 2292, 2149, 3342, 2008, 2689, 2038, 2196, 2042, 4248, 1012, 2689, 2038, 2196, 2042, 3722, 1010, 2030, 2302, 6704, 1012, 2689, 9041, 2006, 28297, 1012, 2689, 5942, 9128, 1012, 2009, 2165, 1037, 2440, 5476, 2077, 1996, 7191, 8606, 1997, 2829, 1058, 1012, 2604, 1997, 2495, 2001, 5421, 2046, 1996, 7285, 5761, 1997, 1996, 2942, 2916, 2552, 1998, 1996, 6830, 2916, 2552, 1010, 2021, 2216, 2184, 2146, 2086, 2106, 2025, 2599, 2852, 1012, 2332, 2000, 2507, 2039, 1012, 2002, 2921, 2006, 6183, 1010, 2002, 2921, 2006, 4092, 1010, 2002, 2921, 2006, 10998, 2127, 2689, 2633, 2234, 1012, 1998, 2059, 2043, 1010, 2130, 2044, 1996, 2942, 2916, 2552, 1998, 1996, 6830, 2916, 2552, 2979, 1010, 3060, 4841, 2145, 2179, 3209, 7567, 1999, 10306, 1997, 5635, 2408, 1996, 2406, 1010, 2852, 1012, 2332, 2134, 1521, 1056, 2360, 2216, 4277, 2020, 1037, 4945, 1025, 2002, 2134, 1521, 1056, 2360, 2023, 2003, 2205, 2524, 1025, 2002, 2134, 1521, 1056, 2360, 1010, 2292, 1521, 1055, 7392, 2005, 2054, 2057, 2288, 1998, 2175, 2188, 1012, 2612, 2002, 2056, 1010, 2292, 1521, 1055, 2202, 2216, 9248, 1998, 5041, 2368, 2256, 3260, 2000, 6162, 2025, 2074, 2942, 1998, 2576, 9945, 2021, 2036, 3171, 3425, 1025, 2292, 1521, 1055, 2954, 2005, 1037, 2542, 11897, 1998, 2488, 2816, 1998, 5841, 2005, 2035, 2040, 2024, 5627, 2000, 2147, 1012, 1999, 2060, 2616, 1010, 2043, 2777, 2007, 26479, 1010, 2043, 26964, 10520, 1010, 2852, 1012, 2332, 4188, 2000, 5138, 2054, 2002, 2170, 1996, 1523, 3475, 7971, 1524, 1997, 2651, 1012, 2002, 2921, 6183, 2875, 1996, 1523, 11276, 2791, 1524, 1997, 4826, 1012, 1998, 2061, 1010, 2004, 2057, 2228, 2055, 2035, 1996, 2147, 2008, 2057, 2442, 2079, 1516, 1011, 14584, 2019, 4610, 2008, 2064, 5566, 2006, 1037, 3795, 2754, 1010, 1998, 15887, 2256, 2816, 2061, 2008, 2296, 2775, 1011, 1011, 2025, 2074, 2070, 1010, 2021, 2296, 2775, 1011, 1011, 4152, 1037, 2088, 1011, 2465, 2495, 1010, 1998, 2437, 2469, 2008, 2256, 2740, 2729, 2291, 2003, 15184, 1998, 7801, 2000, 2035, 1010, 1998, 2008, 2256, 3171, 2291, 2003, 2028, 1999, 2029, 7955, 4152, 1037, 4189, 6073, 1998, 7955, 2515, 2037, 4189, 3745, 1010, 2292, 2149, 2025, 2022, 7567, 2011, 2054, 2003, 1012, 2057, 2064, 1521, 1056, 2022, 22585, 2011, 2054, 2003, 1012, 2057, 1521, 2310, 2288, 2000, 2562, 6183, 2005, 2054, 11276, 2000, 2022, 1010, 1996, 2637, 2057, 11276, 2000, 2681, 2000, 2256, 2336, 1010, 2568, 3993, 2008, 1996, 26479, 2015, 2057, 2227, 2024, 2498, 4102, 2000, 2216, 2852, 1012, 2332, 1998, 2010, 3507, 28791, 2869, 4320, 2753, 2086, 3283, 1010, 1998, 2008, 2065, 2057, 5441, 2256, 4752, 1010, 1999, 9731, 1998, 1999, 1996, 12020, 1997, 2023, 3842, 1010, 2045, 2003, 2053, 4119, 2057, 3685, 7505, 20048, 1012, 1011, 6866, 2011, 2239, 2255, 2260, 1010, 2249, 2012, 1019, 1024, 4805, 7610, 3968, 2102, 2093, 1997, 1996, 5221, 3340, 1999, 2637, 2024, 18435, 2037, 5755, 2000, 5241, 2749, 1010, 1996, 6349, 2318, 2011, 2034, 3203, 9393, 8112, 1998, 2852, 1012, 10454, 7226, 2368, 2000, 3288, 3086, 2000, 1996, 4310, 3791, 1998, 3997, 1997, 2637, 1521, 1055, 2510, 2945, 1012, 3419, 9180, 2015, 1010, 6728, 10404, 2663, 22586, 1998, 7112, 28740, 2031, 2169, 2580, 2270, 2326, 25674, 1006, 8827, 3022, 1007, 2008, 2425, 2613, 3441, 2055, 2637, 1005, 1055, 2510, 2945, 1998, 2655, 2006, 2035, 4841, 2000, 2507, 2067, 2000, 5676, 2326, 2372, 1998, 2510, 2945, 2031, 1996, 2490, 2027, 2031, 3687, 1012, 1000, 1996, 4024, 2451, 4660, 1996, 5241, 2749, 2655, 1998, 2038, 2589, 2054, 2027, 2079, 2190, 1011, 1011, 3288, 2000, 2166, 3441, 2008, 2693, 2149, 1010, 1000, 2056, 3680, 1012, 8112, 1012, 1000, 2083, 2023, 8827, 2050, 3049, 1010, 4841, 2097, 4553, 2062, 2055, 1996, 4310, 7860, 1998, 3791, 1997, 2256, 2510, 2945, 1010, 2156, 2037, 3997, 1010, 24501, 18622, 10127, 1998, 2326, 1010, 1998, 2424, 2041, 2129, 2027, 2064, 2507, 2067, 2000, 2122, 9313, 3629, 1998, 2945, 2040, 2031, 2445, 2149, 2061, 2172, 1012, 1000, 1996, 2622, 2001, 10141, 2011, 2914, 2400, 1011, 3045, 3135, 5503, 9946, 1010, 2040, 5260, 1996, 6970, 1011, 9054, 5241, 2749, 4708, 2486, 1010, 2019, 4024, 3068, 6056, 2008, 3640, 5541, 1998, 2537, 2490, 2005, 5241, 2749, 1012, 2169, 1997, 1996, 8827, 3022, 4136, 1996, 2466, 1997, 1037, 2510, 2155, 2004, 2027, 18094, 1996, 26479, 1997, 1037, 10813, 6931, 1012, 1996, 8827, 3022, 2097, 2022, 10499, 2006, 1037, 1009, 1041, 1010, 6568, 1010, 6788, 1010, 5925, 1010, 4419, 1010, 1998, 25610, 6125, 1012, 2852, 7226, 2368, 1010, 3005, 2365, 2366, 1999, 5712, 1010, 2056, 1010, 1000, 2004, 1037, 2510, 3566, 1010, 1045, 2113, 2074, 2129, 2172, 2009, 2965, 2043, 2111, 3362, 2041, 2000, 2265, 2037, 2490, 2005, 2256, 2326, 2372, 1998, 2037, 2945, 1012, 1996, 2034, 3203, 1998, 1045, 3246, 2008, 2023, 3049, 2097, 18708, 2062, 4841, 2000, 2202, 2895, 1998, 3362, 2041, 2000, 2510, 2945, 1999, 2037, 2219, 4279, 2105, 1996, 2406, 1012, 1000, 2852, 1012, 7226, 2368, 1024, 2255, 2003, 1996, 2051, 2005, 2169, 1997, 2149, 2000, 5136, 1996, 2535, 2057, 2064, 2377, 1999, 4337, 3436, 7388, 4456, 19894, 2098, 2011, 2239, 2255, 2260, 1010, 2249, 2012, 1023, 1024, 2654, 2572, 3968, 2102, 2255, 2003, 7388, 4456, 7073, 3204, 1010, 1998, 2009, 1521, 1055, 2019, 2590, 2051, 2000, 5136, 1996, 2535, 2008, 2169, 1997, 2149, 2064, 1998, 2442, 2377, 1999, 4337, 2075, 2023, 4295, 1012, 2521, 2205, 2116, 1997, 2149, 2031, 2439, 1037, 3866, 2028, 2000, 7388, 4456, 1516, 2030, 2464, 1037, 11429, 2030, 1037, 11729, 18094, 9145, 13441, 2030, 1037, 2146, 2645, 2007, 1996, 4295, 1012, 2057, 2113, 2008, 2220, 10788, 2064, 2191, 2035, 1996, 4489, 1012, 1998, 1045, 2572, 7098, 2000, 2022, 1037, 2112, 1997, 2019, 3447, 2008, 2003, 2551, 2524, 2000, 5676, 2008, 15184, 1998, 7801, 4652, 3512, 2729, 2003, 1037, 4507, 1012, 4283, 2000, 1996, 2740, 5290, 2375, 1010, 1996, 15184, 2729, 2552, 1010, 2087, 2797, 2740, 3488, 1998, 27615, 3104, 2308, 1521, 1055, 4652, 3512, 2740, 2729, 1516, 2107, 2004, 5003, 7382, 8649, 6444, 2015, 1998, 25437, 2005, 28711, 4456, 1516, 2007, 2053, 2522, 1011, 12778, 2030, 2060, 2041, 1011, 1997, 1011, 4979, 5366, 1012, 2023, 2095, 2000, 3058, 1010, 1017, 1012, 1022, 2454, 2308, 1999, 3151, 27615, 2031, 2363, 1037, 2489, 5003, 7382, 8649, 6444, 1012, 2197, 2733, 1010, 3187, 1997, 2740, 1998, 2529, 2578, 14559, 7367, 8671, 4173, 1010, 7673, 2019, 20483, 2078, 1010, 1998, 1045, 7255, 1037, 2110, 1011, 1997, 1011, 1996, 1011, 2396, 7388, 2740, 2415, 1999, 2642, 3448, 1012, 2057, 2777, 2007, 5462, 2740, 8390, 2004, 2092, 2004, 2007, 2308, 2040, 4207, 3167, 3441, 2055, 2037, 7465, 2007, 7388, 4456, 1012, 2045, 2003, 2053, 3160, 2008, 2057, 2031, 1037, 2843, 1997, 2147, 3805, 1997, 2149, 1516, 2021, 1045, 2097, 2360, 2008, 2057, 2020, 2035, 4427, 1998, 17772, 2044, 1996, 3942, 1012, 3531, 2202, 1037, 3371, 2000, 2156, 2070, 11637, 1997, 2256, 3942, 1010, 1998, 2963, 2034, 1011, 2192, 2013, 2070, 1997, 2122, 18988, 2308, 1012, 2830, 2023, 2678, 2000, 2115, 3866, 3924, 1010, 2362, 2057, 2097, 2663, 2023, 2954, 999, 1011, 6866, 2011, 2239, 2255, 1020, 1010, 2249, 2012, 1015, 1024, 2382, 7610, 3968, 2102, 3422, 2034, 3203, 9393, 8112, 1998, 2117, 3203, 2852, 1012, 10454, 7226, 2368, 14970, 1996, 5241, 2749, 2451, 4119, 1010, 2182, 1012, 1996, 2034, 3203, 1998, 1045, 2024, 7568, 2000, 14970, 2008, 1996, 12339, 15117, 2005, 1996, 5241, 2749, 2451, 4119, 2038, 2042, 3668, 2000, 2255, 2861, 1010, 2249, 1012, 1999, 1037, 3025, 2695, 1010, 2057, 11548, 1037, 7099, 1997, 1996, 27842, 1998, 9930, 2008, 2057, 2031, 2525, 2363, 1012, 2144, 2008, 2695, 1010, 2057, 2031, 2042, 15261, 2011, 1996, 7186, 1997, 5097, 3794, 2111, 2105, 1996, 2406, 2008, 2024, 2551, 2000, 2490, 2256, 2510, 2945, 1012, 3251, 2004, 2019, 3265, 1010, 1037, 2235, 3164, 3029, 1010, 2030, 1037, 3842, 1011, 2898, 3947, 1010, 2017, 3613, 2000, 2022, 2019, 7780, 2000, 2149, 2035, 1012, 1011, 6866, 2011, 2239, 2255, 1017, 1010, 2249, 2012, 2340, 1024, 2385, 2572, 3968, 2102, 2197, 2733, 1010, 3580, 2343, 7226, 2368, 1998, 2852, 1012, 10454, 7226, 2368, 4354, 1037, 7684, 2012, 1996, 3987, 9970, 2000, 8439, 6696, 4348, 3204, 1998, 6807, 1996, 5151, 5857, 1997, 6696, 4841, 2408, 1996, 2510, 1010, 2231, 1998, 2797, 4753, 1012, 2004, 2591, 3187, 2000, 1996, 3580, 2343, 1998, 2852, 1012, 7226, 2368, 1010, 1045, 2001, 7537, 2000, 2330, 2039, 1996, 4303, 1997, 1996, 3580, 2343, 1521, 1055, 5039, 2005, 2023, 2569, 6686, 1516, 1996, 2353, 6696, 4348, 7684, 2027, 2031, 4354, 2012, 2037, 2188, 1012, 1996, 3580, 2343, 3764, 2077, 1037, 4306, 2008, 2443, 8244, 1998, 3161, 4611, 2326, 2372, 1010, 2004, 2092, 2004, 6696, 2449, 4177, 2013, 2105, 1996, 3842, 1012, 9073, 1996, 3327, 3747, 1997, 6696, 7489, 2006, 2137, 2554, 1010, 3580, 2343, 7226, 2368, 2056, 1010, 1523, 2057, 2031, 2196, 2320, 1999, 2256, 2381, 2025, 2042, 6428, 1998, 26108, 1998, 2062, 17026, 2004, 1037, 9509, 1997, 1996, 5975, 1997, 7521, 1012, 1529, 2009, 2003, 1996, 2518, 2008, 4372, 13149, 2229, 2149, 1012, 1524, 1996, 7684, 2036, 3858, 1996, 5719, 8688, 1998, 12276, 1997, 6696, 2137, 2326, 2372, 1010, 2007, 8244, 2013, 1996, 5148, 2162, 2000, 1996, 5719, 9755, 1999, 5712, 1998, 7041, 1999, 5270, 1012, 1011, 6866, 2011, 2239, 2244, 2656, 1010, 2249, 2012, 1019, 1024, 3943, 7610, 3968, 2102, 2197, 6928, 1010, 1996, 1057, 1012, 1055, 1012, 4034, 2005, 2248, 2458, 1010, 1999, 5386, 2007, 1996, 4748, 2473, 1010, 3390, 1037, 2270, 7073, 3049, 2170, 1523, 1042, 21724, 1524, 1516, 3061, 2005, 15625, 1010, 2162, 1010, 14734, 1011, 2000, 4009, 1996, 3086, 2000, 1996, 11470, 5325, 1999, 1996, 7109, 1997, 3088, 1012, 1996, 3049, 2003, 4214, 2006, 4841, 2000, 1042, 21724, 1996, 8866, 1012, 1042, 21724, 2068, 2000, 2115, 2814, 1010, 1042, 21724, 2068, 2000, 2115, 10638, 1010, 1042, 21724, 2068, 2000, 3071, 2017, 2113, 1012, 1037, 2261, 1997, 1996, 8866, 1024, 1011, 2062, 2084, 2410, 2454, 2111, 2024, 1999, 5325, 1516, 2437, 2023, 1996, 2922, 11470, 5325, 1999, 1996, 2088, 1012, 1011, 2062, 2084, 6352, 1010, 2199, 2111, 2031, 6783, 2013, 2037, 5014, 1999, 14717, 2000, 11154, 1998, 7938, 1516, 4526, 1996, 2088, 1521, 1055, 2922, 13141, 7958, 1012, 1011, 1015, 2775, 2003, 5996, 2296, 1020, 2781, 1999, 14717, 1012, 1011, 2062, 2084, 9683, 1010, 2199, 2111, 2024, 11310, 2000, 2566, 4509, 2013, 22611, 1999, 14717, 2306, 1996, 2279, 2176, 2706, 2065, 11470, 2015, 2024, 2025, 3039, 3229, 1999, 2000, 2670, 14717, 1012, 1011, 6866, 2011, 2239, 2244, 2403, 1010, 2249, 2012, 1021, 1024, 2656, 7610, 3968, 2102, 2197, 2305, 1010, 3580, 2343, 7226, 2368, 1998, 2852, 1012, 10454, 7226, 2368, 2218, 1037, 7684, 2012, 1996, 3987, 9970, 2000, 8439, 1996, 5550, 5315, 1997, 1996, 4808, 2114, 2308, 2552, 1006, 12436, 4213, 1007, 2108, 2772, 2046, 2375, 1010, 2004, 2092, 2004, 2655, 2006, 1037, 2047, 4245, 2000, 2202, 2895, 2000, 5547, 1996, 2152, 6165, 1997, 4808, 1998, 6101, 2008, 4247, 2000, 15686, 2402, 2273, 1998, 2308, 2408, 1996, 2406, 1012, 4092, 2077, 1037, 4306, 2008, 2443, 2116, 1997, 1996, 2273, 1998, 2308, 2040, 3569, 1996, 3580, 2343, 1521, 1055, 4073, 2000, 2156, 1996, 2552, 2468, 2375, 2006, 2244, 2410 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4703, 2356, 3980, 2070, 1997, 1996, 4703, 2356, 3980, 2024, 3205, 2917, 1024, 2070, 6998, 2000, 4703, 2356, 3980, 2024, 3205, 2917, 1024, 1016, 1012, 2129, 2003, 2009, 2008, 2070, 2111, 2031, 2018, 2000, 9880, 2005, 2116, 2062, 2661, 2084, 2008, 1029, 20047, 3292, 2003, 2538, 2661, 1011, 2021, 2006, 2593, 2217, 1997, 6178, 24665, 2483, 11265, 2480, 1010, 1996, 2413, 15458, 9010, 2185, 1010, 2061, 1010, 2065, 2017, 2079, 2025, 3362, 2455, 2012, 1996, 6178, 2017, 2031, 2582, 2000, 2175, 2000, 2191, 21042, 1012, 2017, 2097, 9880, 2408, 1996, 3149, 2005, 2538, 2661, 1006, 2030, 2062, 1007, 2021, 1996, 2783, 5829, 2017, 2116, 2661, 2013, 2217, 2000, 2217, 2004, 1996, 10401, 1041, 17226, 1998, 6223, 1012, 2017, 2089, 2139, 8566, 3401, 2013, 2023, 2008, 4983, 1037, 9727, 6433, 1998, 2045, 2003, 2053, 10401, 1006, 999, 999, 1007, 2006, 2115, 9880, 2154, 1006, 2009, 2515, 4148, 5681, 1007, 1996, 2069, 2126, 2017, 2071, 2892, 1996, 3149, 1999, 1037, 3442, 2240, 2052, 2022, 2065, 2017, 2071, 4675, 18908, 1996, 3466, 1997, 1996, 10401, 2011, 5742, 2114, 2009, 1012, 2021, 2023, 2052, 2022, 1037, 5949, 1997, 7070, 2943, 1010, 2017, 2097, 2131, 5458, 1011, 1996, 10401, 2097, 2025, 999, 1017, 1012, 2129, 2146, 2003, 2009, 3497, 2000, 2202, 1029, 2320, 2017, 2064, 3073, 1037, 12689, 3189, 1997, 2115, 9084, 9880, 1011, 3177, 1999, 3147, 1010, 2330, 2300, 1011, 2059, 2017, 1010, 2115, 10365, 1998, 2115, 4405, 2097, 2022, 3201, 2000, 14396, 2023, 2592, 2000, 1996, 3785, 2017, 2453, 5987, 2000, 3113, 1999, 1996, 3149, 999, 1996, 7915, 9880, 2003, 1037, 2210, 2058, 1021, 2847, 1998, 1996, 4030, 4355, 3053, 2676, 2847, 1012, 1018, 1012, 2054, 4066, 1997, 2712, 3785, 2323, 1045, 5987, 1029, 2017, 2323, 6848, 2115, 3325, 1997, 2330, 1011, 2300, 5742, 2007, 2115, 4405, 1998, 5993, 2006, 2054, 2003, 3647, 1998, 9608, 1012, 2712, 1011, 2110, 2064, 2689, 2200, 2855, 1999, 1996, 3149, 1010, 2007, 2210, 5432, 1006, 2156, 2592, 1013, 8819, 5308, 1007, 1012, 1996, 8221, 2031, 6196, 3716, 1997, 1996, 2334, 5380, 1998, 2017, 2097, 5987, 2068, 2000, 2507, 2017, 1037, 4189, 3382, 1997, 1037, 3144, 9880, 2302, 6885, 2017, 2012, 3891, 1012, 1996, 4405, 2097, 9279, 1996, 2157, 2000, 2644, 1996, 9880, 2065, 2002, 10592, 2009, 27118, 2094, 11365, 3085, 1013, 25135, 2000, 3613, 1012, 2017, 2323, 3246, 2005, 2486, 1015, 1013, 1016, 2021, 2022, 4810, 2005, 2486, 1018, 1013, 1019, 1012, 1019, 1012, 2073, 2079, 3149, 9880, 2015, 2202, 2173, 1029, 9880, 2015, 2788, 2707, 2012, 2030, 2379, 8101, 1005, 1055, 7656, 2030, 3520, 21850, 2890, 7570, 2063, 1006, 1999, 2090, 5154, 4355, 5643, 1998, 13985, 1007, 1010, 1998, 6614, 2000, 3926, 2012, 2030, 2379, 6178, 24665, 2483, 11265, 2480, 1006, 2090, 8945, 18845, 10177, 1998, 23116, 1007, 1012, 13367, 9880, 2015, 2024, 2013, 2563, 2000, 2605, 1006, 1998, 2067, 2153, 1010, 2065, 2017, 2031, 1996, 2943, 999, 1007, 1012, 2043, 1996, 9880, 2038, 2736, 1010, 2115, 4405, 2097, 3288, 2017, 2067, 2000, 2563, 1012, 1020, 1012, 2054, 2003, 2569, 2055, 1996, 3149, 1029, 2394, 3149, 2003, 1037, 4310, 1998, 9694, 9880, 1010, 2641, 2011, 2116, 2000, 2022, 1996, 7209, 2146, 3292, 4119, 1012, 2009, 3475, 1005, 1056, 2074, 1996, 3292, 2008, 2003, 1996, 4119, 1010, 2021, 2062, 1010, 1996, 8023, 3785, 2008, 2017, 2024, 3497, 2000, 8087, 1012, 2122, 2089, 8137, 2005, 5259, 2066, 3785, 2000, 3612, 2486, 1020, 1998, 4400, 7535, 1999, 9987, 1997, 1016, 3620, 1012, 1996, 2300, 2003, 3147, 1998, 2017, 2024, 6118, 9449, 2000, 16222, 17960, 10450, 4371, 2000, 2009, 1010, 2045, 2003, 1037, 2204, 3382, 1997, 3116, 20919, 7529, 1010, 2712, 18041, 1998, 1996, 8138, 24000, 1997, 3536, 1012, 2009, 2003, 2028, 1997, 1996, 20530, 7829, 10914, 1999, 1996, 2088, 2007, 5174, 20135, 2015, 4458, 2083, 1998, 3263, 20157, 1013, 2712, 19588, 1998, 2060, 6470, 2183, 2408, 3679, 1012, 2852, 1012, 7628, 23762, 20301, 1010, 3149, 5742, 2523, 5183, 1012, 3187, 1010, 29335, 2047, 28729, 2346, 1010, 29504, 10235, 1010, 26947, 6169, 1012, 1010, 3393, 14526, 1018, 3388, 1010, 2866, 10093, 1013, 6904, 2595, 1024, 1009, 4008, 1006, 1014, 1007, 5018, 2683, 4583, 23632, 24434, 1996, 2561, 3477, 3085, 2000, 1996, 3149, 5742, 2523, 5183, 2000, 4236, 1037, 2028, 1011, 2126, 3948, 9880, 2003, 3155, 28182, 21057, 1012, 4002, 1012, 2023, 4472, 1024, 1011, 2028, 2095, 1005, 1055, 5482, 5779, 7408, 1010, 2035, 3447, 1998, 14975, 5366, 1010, 1996, 9347, 1997, 1996, 4351, 27804, 2880, 9718, 2000, 12673, 2017, 2006, 2115, 9880, 20868, 6072, 5051, 15277, 1997, 1996, 2051, 2017, 2275, 2125, 1012, 3531, 3602, 1025, 2009, 2515, 2025, 2421, 1996, 27804, 8196, 1012, 3531, 5166, 2019, 3176, 1069, 23352, 1010, 2017, 2180, 1005, 1056, 9038, 2009, 1012, 1998, 2036, 5166, 2005, 2115, 5270, 2012, 1996, 3296, 4596, 2012, 13985, 2237, 2534, 1012, 2009, 2003, 2019, 3944, 2008, 2017, 2097, 2025, 2215, 2000, 3335, 1012, 8846, 2136, 2372, 2169, 3477, 1037, 7017, 1997, 1037, 3948, 7408, 1006, 2156, 2592, 1013, 8819, 5308, 1007, 1012, 1996, 2922, 3465, 2003, 1996, 14763, 1997, 2019, 3985, 5068, 4405, 1011, 1006, 2017, 2097, 2763, 3477, 1999, 1996, 2555, 1997, 21853, 14142, 2692, 1012, 4002, 1011, 21853, 29345, 1012, 4002, 2021, 9883, 8137, 2013, 4405, 2000, 4405, 1007, 1012, 2017, 2036, 2342, 2000, 5166, 2005, 2115, 11366, 2096, 2017, 3524, 2000, 9880, 1012, 2006, 2327, 1997, 2122, 4481, 2017, 2442, 2036, 5166, 2005, 2115, 2709, 3462, 2000, 2414, 1010, 3604, 2013, 2414, 2000, 13985, 1010, 3155, 14534, 17788, 1010, 1998, 11366, 1998, 2833, 1012, 11366, 1998, 2833, 2097, 2846, 2013, 5560, 1069, 16086, 1011, 3963, 1013, 2711, 1013, 2154, 1999, 3937, 11366, 1006, 4734, 2000, 2292, 1998, 4113, 2160, 11366, 1007, 2000, 14534, 17788, 1011, 8574, 1013, 2711, 1013, 2154, 1999, 2062, 6625, 3309, 11301, 1012, 2017, 2323, 2036, 3499, 2005, 1037, 9530, 3436, 11916, 4636, 1999, 2553, 1997, 9223, 20700, 1012, 2017, 2323, 2036, 3499, 2005, 1037, 9530, 3436, 11916, 4636, 1999, 2553, 2017, 2079, 2025, 2131, 2185, 2076, 2115, 3740, 3332, 1998, 2031, 2000, 2994, 2005, 2019, 3176, 2048, 3134, 2030, 2061, 1010, 3403, 2005, 7218, 4633, 1012, 1022, 1012, 2054, 2079, 1045, 2031, 2000, 2079, 2000, 5676, 2026, 9880, 2003, 3985, 7843, 1029, 2034, 1010, 2017, 2442, 4236, 2115, 9880, 2007, 1996, 27804, 1998, 2338, 2028, 1997, 2256, 3858, 8620, 8221, 1012, 2191, 2469, 2008, 2115, 9880, 9427, 2003, 24577, 2007, 27804, 3513, 1012, 2191, 2469, 2008, 2017, 2024, 2012, 2560, 2385, 2086, 2214, 2012, 1996, 20561, 1997, 1996, 3948, 9880, 1012, 2004, 2574, 2004, 1996, 27804, 2003, 6727, 2011, 2115, 4405, 1997, 2115, 9880, 2051, 1010, 2057, 2097, 16823, 2019, 9718, 2000, 3422, 2058, 2115, 9880, 1012, 2044, 2115, 9880, 1010, 1996, 27804, 2880, 9718, 2097, 4604, 2010, 3189, 2000, 1996, 27804, 9718, 14975, 2961, 1012, 2002, 2097, 2556, 1996, 3189, 2362, 2007, 1996, 9880, 2522, 1011, 2030, 18979, 4570, 1010, 20699, 1996, 14967, 1997, 1996, 9880, 1011, 2005, 2019, 2981, 17423, 2011, 2372, 1997, 1996, 2837, 2012, 1037, 27369, 3116, 1012, 2115, 9880, 2097, 2059, 2022, 17673, 1998, 3133, 2046, 1996, 2880, 2501, 2808, 1012, 1999, 2349, 2607, 2009, 2097, 2022, 2794, 2000, 1996, 2279, 25364, 1997, 1996, 14812, 1012, 1023, 1012, 2054, 2097, 1045, 2131, 2000, 6011, 2026, 9880, 1029, 2017, 2097, 4374, 2019, 2880, 3661, 1997, 13399, 3672, 2320, 2115, 9880, 2038, 2042, 17673, 1012, 2017, 2089, 2059, 1010, 2065, 2017, 4299, 1010, 4965, 2019, 2880, 27804, 1006, 2158, 1011, 2081, 1007, 1005, 2310, 20845, 1005, 8196, 2000, 13415, 1996, 6344, 1012, 2023, 2003, 2115, 3167, 3247, 1012, 2184, 1012, 2079, 1045, 2131, 1037, 8196, 1029, 2025, 7955, 4122, 1037, 8196, 1998, 2138, 2027, 2024, 2200, 3167, 1998, 2569, 1010, 2017, 2097, 2342, 2000, 2344, 1013, 5309, 2115, 2880, 27804, 1005, 2310, 20845, 1005, 1006, 2158, 1011, 2081, 1007, 8196, 2000, 13415, 2115, 6344, 2044, 1996, 2724, 1012, 2017, 2097, 2022, 2356, 2000, 12210, 2008, 1996, 4751, 2000, 2022, 2794, 2000, 2115, 8196, 2024, 6149, 1012, 2043, 2017, 2031, 2589, 2023, 1010, 1996, 8196, 2097, 2022, 2741, 2000, 1996, 2655, 8004, 24342, 2121, 2000, 2022, 4810, 1012, 17987, 2024, 1010, 2073, 2825, 1010, 3591, 2012, 1996, 3296, 4596, 1010, 2788, 2218, 2220, 1999, 2281, 1012, 1996, 2286, 1013, 2403, 3465, 1997, 2019, 3265, 8196, 2097, 2022, 1069, 19841, 1012, 1996, 2286, 1013, 2403, 3465, 2005, 8846, 2136, 17987, 1010, 3641, 2053, 2101, 2084, 1996, 13293, 2244, 2097, 2022, 1069, 16086, 2169, 1010, 4346, 2169, 2266, 1997, 1996, 2136, 4449, 1037, 8196, 1998, 2027, 2064, 2022, 2830, 2098, 2000, 2028, 4769, 2030, 3591, 2012, 1996, 27804, 4596, 1012, 2340, 1012, 1045, 2031, 2042, 2445, 2597, 1017, 2006, 1996, 11265, 9331, 10401, 1010, 2054, 2515, 2023, 2812, 1029, 2043, 2017, 2338, 1037, 9880, 2007, 1037, 27804, 8620, 4405, 1010, 2017, 2097, 2022, 2445, 1037, 9880, 3332, 1010, 1006, 2029, 2003, 1996, 15502, 3332, 1007, 1012, 1012, 1012, 1012, 1012, 1012, 1012, 11082, 2360, 1996, 2260, 1011, 5550, 2244, 1998, 2017, 2097, 2022, 2445, 1037, 9880, 2597, 1012, 1012, 1012, 1012, 1012, 1012, 2292, 1521, 1055, 2360, 2193, 1017, 1012, 2065, 1996, 4633, 2003, 2204, 1998, 21669, 2131, 2185, 2004, 11436, 1010, 2017, 2097, 2131, 2115, 2735, 1006, 3822, 13361, 1007, 2006, 1996, 6400, 2030, 6286, 2244, 1010, 2021, 2054, 2065, 1996, 4633, 2003, 2025, 7218, 1029, 2017, 2442, 3305, 2008, 2122, 5246, 1998, 2023, 2597, 2024, 12379, 1998, 2025, 2275, 1999, 2962, 1012, 2009, 2097, 2022, 2115, 8221, 6614, 2000, 2507, 2017, 1996, 2200, 2190, 3382, 2000, 2131, 2408, 1998, 2017, 1999, 2735, 1010, 2097, 2342, 2000, 2022, 12379, 1012, 2009, 2089, 2022, 2008, 1996, 5246, 2445, 2000, 2017, 2735, 2041, 2000, 2022, 3294, 25622, 2005, 1037, 3647, 9880, 1998, 2115, 2190, 4495, 2000, 9880, 2071, 2022, 2648, 1997, 2122, 5246, 1012, 2017, 2342, 2000, 2022, 3201, 2000, 9880, 2119, 2077, 1996, 5940, 1010, 2030, 2065, 3785, 4652, 9880, 2015, 2635, 2173, 2076, 1996, 3479, 3332, 1010, 2059, 2044, 1996, 5550, 1012, 2017, 2097, 2342, 2000, 2022, 8546, 2011, 2115, 4405, 1010, 2040, 2097, 2215, 2000, 2131, 2017, 2408, 1010, 2021, 2069, 2065, 2045, 2003, 1037, 9608, 3382, 1997, 10910, 2009, 1012, 2061, 7180, 2220, 1998, 2507, 4426, 7167, 1997, 2051, 1010, 2079, 2025, 7180, 2012, 1996, 2197, 3371, 1998, 2079, 2025, 2338, 2115, 2709, 7281, 2005, 1996, 2154, 2044, 1996, 5246, 2017, 2031, 2042, 2445, 1012, 2065, 2017, 2079, 1010, 2017, 2071, 2022, 2183, 2188, 2006, 2008, 3819, 2154, 2005, 2115, 9880, 1012, 2009, 2003, 2200, 2172, 1037, 3160, 1997, 3403, 19080, 2005, 2115, 2204, 2154, 1012, 2260, 1012, 2054, 4860, 2003, 1996, 2300, 1999, 1996, 3149, 1029, 2076, 1996, 9880, 2161, 1006, 2251, 2000, 2244, 1007, 2017, 2089, 5987, 1996, 4860, 2000, 2846, 2013, 2403, 2000, 2324, 5445, 8292, 4877, 4173, 1012, 2251, 4627, 2125, 3147, 1012, 1012, 1012, 1012, 1012, 2257, 2038, 1996, 2190, 1997, 2009, 1012, 1012, 1012, 1012, 1012, 2244, 2064, 4658, 2125, 2855, 2065, 1996, 2250, 4860, 9010, 999, 5678, 1010, 1996, 6385, 2024, 25327, 2936, 1999, 2244, 1012, 2262, 2001, 1037, 3391, 2919, 2095, 1998, 2305, 2051, 7715, 1999, 2257, 1998, 2244, 2823, 22088, 11368, 2098, 2000, 1020, 1011, 1022, 5445, 1039, 1012, 2410, 1012, 2003, 2045, 11366, 2800, 7246, 1029, 2748, 1010, 1996, 2592, 5308, 7201, 1037, 2193, 1997, 6179, 11596, 1999, 5154, 4355, 5643, 1998, 13985, 1998, 1996, 2334, 7538, 2592, 4822, 2097, 2022, 7537, 2000, 2393, 2007, 2582, 6040, 1012, 2403, 1012, 2024, 2045, 2151, 2731, 4128, 2800, 1029, 2087, 2111, 2191, 2224, 1997, 1996, 12212, 2012, 5154, 4355, 5643, 1998, 1044, 26688, 1010, 2030, 2306, 13985, 7440, 1012, 2070, 21669, 2024, 2583, 2000, 7180, 2195, 3134, 1999, 5083, 1997, 2037, 9880, 3058, 1011, 1998, 2064, 3143, 2037, 3292, 1011, 2731, 1010, 3147, 1011, 2300, 16222, 17960, 10450, 26652, 1010, 1998, 2191, 2224, 1997, 1996, 2330, 12212, 1012, 1006, 2021, 2023, 2003, 6684, 1996, 2051, 2000, 2191, 7490, 3431, 2000, 2115, 9880, 1011, 6909, 1010, 8521, 5418, 2030, 8738, 999, 1007, 1012, 7188, 2017, 7180, 1010, 2017, 2097, 17319, 3113, 2060, 21669, 2040, 2024, 8225, 2005, 2037, 2219, 3535, 1011, 2040, 2097, 2022, 3407, 2000, 9880, 2007, 2017, 1012, 2321, 1012, 2054, 2055, 8521, 1010, 2076, 1996, 9880, 1029, 2123, 1005, 1056, 5293, 2000, 3288, 11706, 6067, 1997, 2115, 6871, 2833, 1998, 25416, 21898, 3672, 1012, 2017, 2024, 9449, 2000, 3046, 2041, 2195, 2367, 3971, 1997, 2635, 25416, 21898, 3672, 2013, 1037, 2393, 2121, 1011, 2011, 2452, 1012, 1012, 2011, 5835, 1013, 11025, 1011, 5308, 4385, 1012, 1012, 1012, 4375, 3495, 2000, 2017, 1006, 2302, 3622, 3967 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1047, 1012, 1047, 1012, 3987, 4944, 1011, 7742, 12947, 3854, 12836, 3683, 1010, 2567, 1997, 1996, 3297, 12170, 14728, 10867, 7416, 2121, 5276, 1010, 2363, 4449, 2000, 2640, 1037, 2715, 21905, 2005, 1996, 16212, 1012, 2002, 10395, 2023, 4708, 8235, 2135, 2011, 16865, 2075, 2370, 2247, 1996, 8080, 2640, 2021, 3098, 2047, 9356, 1999, 7634, 2000, 4087, 3941, 1012, 2048, 2086, 2044, 4889, 1996, 1045, 1012, 4895, 6843, 13719, 20739, 1011, 10882, 19042, 2121, 8040, 25798, 27773, 1037, 1012, 1043, 1012, 1006, 3449, 6499, 23848, 13380, 20739, 1011, 10882, 17897, 2072, 5292, 5558, 6292, 2906, 1054, 1012, 1056, 1012, 1007, 1010, 1999, 6940, 1013, 6390, 1010, 1996, 6161, 3212, 1005, 1055, 2034, 2048, 1011, 11224, 16212, 15410, 9388, 2891, 1998, 29011, 2050, 2020, 2328, 2045, 1012, 2005, 1996, 2034, 2051, 2019, 6161, 21905, 2001, 15801, 2011, 2048, 3435, 2770, 1010, 20018, 3061, 1010, 2152, 3778, 5209, 1012, 2028, 2038, 2000, 2113, 1010, 2008, 1999, 2216, 2420, 2691, 5492, 1011, 5209, 2020, 4030, 1011, 3810, 2659, 1011, 3778, 5209, 2007, 4121, 23190, 5412, 18729, 1012, 2069, 2044, 10449, 3435, 2770, 5209, 1998, 2383, 2048, 5209, 2005, 16404, 1010, 2009, 2150, 2825, 2000, 2131, 2247, 2007, 2235, 23405, 1010, 23934, 1010, 2144, 2009, 2001, 5263, 2000, 8752, 7046, 11224, 2015, 2349, 2000, 1996, 3719, 1005, 2659, 4433, 1012, 2005, 1996, 2034, 2051, 2022, 11393, 5017, 3886, 7766, 2020, 2109, 2005, 1996, 5583, 8177, 1010, 29011, 2050, 2036, 2288, 2019, 10612, 5877, 1011, 1011, 1996, 1047, 1012, 1047, 1012, 3212, 1005, 1055, 2034, 3719, 2007, 3886, 3860, 1012, 2178, 2047, 4955, 2001, 1996, 6512, 1997, 2119, 4409, 2872, 1999, 1037, 24135, 5877, 14493, 1012, 12637, 1997, 21088, 25292, 1011, 1037, 1011, 25292, 2553, 15416, 2020, 2896, 3635, 1997, 8177, 1010, 7289, 7493, 12113, 1010, 1998, 2440, 3860, 1997, 2049, 3282, 3626, 1012, 2048, 5883, 2094, 1020, 2378, 1006, 2321, 1007, 1011, 4642, 21986, 2818, 7170, 2545, 1010, 2291, 22894, 7389, 11592, 1010, 2020, 5614, 2006, 4964, 22889, 24225, 2015, 1012, 13587, 11457, 3257, 2001, 4663, 2011, 21118, 3810, 1996, 14493, 1010, 2986, 17372, 2001, 5412, 2011, 1996, 2911, 1005, 1055, 17519, 2075, 1012, 2009, 2150, 1037, 4535, 2013, 1996, 2927, 1010, 2008, 2035, 15410, 2020, 2315, 2044, 15777, 1997, 1996, 16212, 1012, 2008, 1005, 1055, 23082, 2021, 7823, 2121, 5127, 2084, 8080, 1005, 1055, 3707, 1010, 1998, 5519, 11224, 2015, 2000, 8080, 1005, 1055, 2028, 1012, 2006, 1996, 2060, 2192, 1010, 8080, 5614, 2321, 4960, 17750, 1011, 10578, 27934, 13565, 4409, 1012, 4388, 7092, 3832, 21986, 2818, 1011, 10578, 4409, 1010, 2021, 1996, 3212, 2052, 2031, 3904, 1997, 2216, 1010, 1999, 2112, 2138, 1997, 1037, 10611, 4926, 1999, 2029, 2019, 4388, 7092, 21986, 2818, 1011, 7170, 2121, 9913, 1010, 3383, 11427, 2000, 28616, 11774, 2989, 2011, 1037, 3151, 3212, 2396, 10484, 15061, 1012, 2543, 2491, 2011, 13659, 1996, 2911, 2001, 2691, 1999, 1996, 1057, 1012, 1055, 1012, 3212, 2012, 1996, 2051, 1012, 2110, 9133, 1997, 2495, 9744, 14145, 2651, 2623, 2008, 22714, 7667, 1010, 1037, 2194, 2008, 2018, 11016, 2007, 1996, 4307, 2110, 2604, 1997, 2495, 2000, 8116, 4307, 4781, 6344, 3231, 4475, 2000, 4307, 2082, 4733, 1010, 2038, 3478, 2000, 3113, 2049, 27948, 14987, 2007, 1996, 2110, 1012, 22714, 3475, 1005, 1056, 2652, 2092, 1999, 21877, 11069, 1012, 2160, 10643, 2215, 2110, 2082, 9133, 9744, 14145, 2000, 3711, 2012, 1037, 4884, 4994, 1998, 3437, 3980, 2055, 1037, 5604, 2194, 1005, 1055, 14154, 11563, 2015, 1999, 12771, 4475, 2008, 2493, 2342, 2005, 1996, 4307, 4781, 6344, 5852, 1012, 2027, 1005, 2128, 2025, 2437, 2116, 2814, 1999, 1996, 2455, 1997, 1996, 15552, 2015, 1012, 2045, 1005, 1055, 4390, 1999, 2314, 2103, 1012, 1006, 2009, 4627, 2007, 1037, 1056, 2029, 24468, 2007, 1056, 1998, 2009, 4832, 2005, 1000, 5852, 1012, 1000, 1007, 2082, 15631, 2408, 4307, 1010, 2164, 1999, 12497, 1010, 9566, 3790, 1998, 2167, 12497, 1010, 2718, 1996, 6634, 6462, 2197, 2733, 2043, 4475, 2005, 1996, 4307, 4781, 6344, 3231, 1006, 18061, 2102, 1007, 2020, 2397, 1012, 2087, 2816, 2211, 5604, 6928, 1999, 7022, 2093, 2083, 2809, 1010, 2021, 2011, 9432, 2116, 2082, 4733, 2910, 1521, 1056, 2664, 2363, 2037, 3231, 19271, 2015, 1998, 2060, 4475, 2493, 2734, 2000, 3143, 1996, 5852, 1012, 2011, 6928, 1010, 4733, 1999, 1996, 8637, 6325, 2181, 2018, 1010, 5262, 1010, 5625, 5604, 2005, 2035, 2493, 1010, 2021, 2045, 2020, 7564, 1997, 9049, 5312, 1010, 2130, 2046, 6928, 2851, 1012, 4311, 1997, 4307, 1005, 1055, 13460, 2265, 2068, 1999, 5284, 1012, 1996, 2087, 2590, 16367, 3231, 2008, 4307, 2493, 2202, 2169, 2095, 2003, 7194, 2397, 2030, 2007, 12958, 2030, 16542, 2592, 2000, 2195, 2082, 4733, 1010, 15870, 2025, 2069, 3278, 6911, 2005, 19156, 1010, 2021, 2036, 3980, 2055, 3251, 1996, 5852, 2097, 2022, 9398, 1012, 1996, 4307, 4781, 6344, 3231, 1010, 2029, 16463, 3251, 1037, 2082, 2003, 2006, 1996, 2976, 2053, 2775, 2187, 2369, 3422, 2862, 1010, 2003, 4786, 3471, 4919, 2005, 15631, 1998, 5089, 1999, 2600, 2479, 1998, 2264, 9587, 4179, 1012, 2110, 5604, 1999, 4307, 2288, 2125, 2000, 1037, 6857, 2707, 2197, 2733, 2044, 2082, 4733, 2408, 1996, 2110, 3603, 4394, 1998, 25077, 5852, 1012, 5089, 2020, 4854, 1012, 15631, 2020, 10206, 1012, 1999, 4733, 2008, 2020, 3140, 2000, 2695, 29513, 1996, 5852, 1010, 2493, 1010, 2040, 2018, 2985, 2706, 8225, 1010, 2371, 2292, 2091, 1012, 4307, 4584, 8781, 3251, 2027, 2323, 2543, 3146, 1011, 2241, 22714, 7667, 4297, 1012, 1010, 1996, 2194, 5086, 2000, 21497, 1996, 4842, 3270, 4523, 4307, 4584, 11276, 2000, 3191, 2070, 4773, 21197, 2015, 1012, 1037, 3945, 1997, 1996, 8264, 2012, 5604, 11972, 2193, 1016, 14745, 7657, 2195, 3441, 2055, 22714, 1005, 1055, 13460, 2004, 2146, 2004, 2176, 2086, 3283, 1012, 2000, 3582, 2039, 2026, 3522, 27936, 2055, 16367, 5852, 2005, 6667, 1012, 1012, 1012, 2292, 1005, 1055, 2025, 2831, 2055, 2151, 3006, 5852, 2005, 2152, 1011, 7533, 5604, 2127, 1996, 5604, 3316, 2551, 2007, 1996, 2691, 2816, 2707, 4458, 2037, 3006, 5852, 1012, 14084, 1010, 2065, 2017, 1005, 2128, 2183, 2000, 8970, 16367, 5852, 1999, 2070, 6667, 1010, 1045, 6951, 2005, 1996, 2491, 2177, 1012, 1996, 6110, 1997, 1015, 1010, 4700, 2475, 3645, 1998, 2648, 4303, 1999, 2128, 18891, 2015, 1010, 7908, 1998, 16950, 17298, 2546, 9873, 2097, 2202, 2173, 2023, 2621, 1010, 22173, 2055, 1002, 1017, 1010, 5018, 1010, 2199, 2429, 2000, 3960, 18255, 14183, 1010, 5482, 3580, 2343, 1997, 5446, 1998, 4128, 1012, 2045, 2453, 2022, 3114, 2000, 8980, 1996, 3465, 2007, 2702, 2086, 1005, 7312, 1999, 10808, 8236, 1012, 2021, 1045, 1005, 1049, 2559, 2012, 1996, 2783, 3645, 1998, 28279, 1998, 8074, 1996, 3335, 3512, 1006, 4550, 2039, 2115, 4624, 2015, 1998, 2107, 26693, 4933, 2131, 12517, 21132, 2030, 8631, 2041, 1007, 20242, 2062, 20461, 1997, 2147, 1012, 6110, 2097, 4088, 1999, 2089, 1998, 2203, 1999, 2255, 1010, 2021, 1996, 9625, 1997, 1996, 2147, 2097, 2022, 2589, 2011, 2257, 1012, 2174, 1010, 1996, 1015, 1010, 5840, 2581, 2621, 5352, 1010, 2429, 2000, 8819, 1998, 2636, 1010, 3253, 1999, 2536, 3721, 3121, 2097, 2025, 2022, 5360, 1012, 2057, 1005, 2222, 2156, 2055, 2008, 1012, 1996, 2686, 6723, 1996, 4670, 2015, 2318, 2055, 2023, 2051, 2197, 2095, 2003, 2145, 2025, 2736, 1012, 1037, 2193, 1997, 4822, 2024, 2145, 15497, 2193, 7766, 1010, 1998, 1996, 14176, 10025, 2145, 3065, 1996, 4670, 2015, 1998, 4632, 15613, 3853, 12086, 1999, 1037, 2193, 1997, 5269, 1012, 3383, 2256, 2783, 3772, 4670, 2001, 2108, 7481, 2055, 2108, 2460, 1011, 21121, 1010, 11158, 1996, 4219, 2000, 2933, 1996, 2693, 7919, 2004, 2092, 2004, 11158, 1996, 4219, 2000, 5468, 2010, 7640, 1005, 4073, 7919, 1012, 1037, 2245, 2055, 2810, 2161, 1012, 2469, 1010, 2070, 2111, 3193, 1996, 2621, 4094, 1011, 2067, 1997, 2082, 1998, 2267, 4073, 2004, 5949, 3993, 1012, 2021, 2009, 2515, 3749, 6695, 2005, 27070, 1998, 10525, 2007, 2625, 20461, 1997, 3136, 1010, 2065, 2027, 1005, 2128, 7919, 3266, 1012, 12826, 2008, 2007, 2621, 10885, 2006, 1996, 4925, 1012, 3190, 2003, 2055, 2000, 14591, 1996, 4907, 4575, 11720, 2104, 4026, 1012, 1006, 2086, 3283, 1010, 2043, 1996, 7553, 2015, 2020, 2108, 2328, 2013, 11969, 1010, 1996, 2069, 4026, 20461, 2001, 2746, 2000, 1996, 2203, 1997, 1996, 2736, 14082, 1998, 2067, 3031, 1996, 4493, 4925, 1012, 1007, 16197, 2079, 2650, 2147, 2004, 2092, 1010, 1998, 20010, 27897, 4499, 2003, 1037, 2978, 2062, 1997, 1037, 4119, 2084, 20010, 27897, 4683, 2008, 2031, 9602, 7787, 1012, 1996, 7037, 12078, 4837, 2070, 2314, 15410, 1999, 1996, 14896, 1010, 1998, 1996, 6738, 1997, 2028, 1010, 29011, 2050, 1010, 2003, 1996, 3579, 1997, 1037, 8347, 3947, 1999, 10926, 1012, 1006, 2045, 2003, 2012, 2560, 2028, 1997, 1996, 5588, 4296, 2291, 1005, 1055, 29445, 9282, 7286, 1999, 8347, 1012, 1012, 1012, 2442, 5136, 2178, 4440, 2008, 2126, 1012, 1007, 1996, 8347, 3947, 4372, 17084, 2015, 16487, 2009, 2004, 2019, 4388, 7092, 6046, 1010, 2007, 1037, 2210, 2393, 2013, 2049, 2814, 1012, 1006, 2045, 3544, 2000, 2022, 1037, 2126, 2000, 4604, 17652, 2665, 12221, 1012, 1007, 2320, 1996, 27826, 8509, 2000, 2712, 1010, 1996, 2466, 4150, 2062, 17075, 1012, 1996, 2197, 8443, 2911, 10028, 16503, 1006, 2004, 2824, 9099, 21649, 1007, 1010, 1039, 1012, 1055, 1012, 1055, 1012, 21882, 28574, 4430, 1010, 2001, 3935, 2005, 2014, 2051, 1010, 2007, 1037, 2358, 21293, 3468, 11224, 17678, 15350, 2099, 2000, 5547, 8011, 2043, 2016, 2001, 2104, 2440, 9498, 1010, 2348, 2008, 2347, 1005, 1056, 2200, 2411, 2004, 2014, 2952, 8615, 2108, 2583, 2000, 6467, 1011, 19838, 10315, 2007, 1037, 6467, 1011, 25216, 3626, 1012, 1006, 2823, 1996, 3626, 2001, 2625, 19368, 1012, 1996, 8431, 2020, 5399, 12266, 2012, 2128, 1011, 3626, 2075, 2006, 1996, 4875, 1012, 1007, 2014, 3260, 2001, 2000, 23217, 1996, 23687, 25515, 4082, 2379, 1996, 10567, 1012, 2247, 1996, 2126, 1010, 1996, 2952, 14730, 1037, 5036, 2007, 1037, 12702, 20281, 2332, 1006, 2006, 2019, 2479, 3615, 2000, 2012, 1996, 2051, 2004, 1000, 18071, 1010, 1000, 2025, 2000, 2022, 5457, 2007, 1996, 2148, 4448, 11429, 1997, 2358, 1012, 10269, 1010, 2104, 2329, 3447, 1007, 3005, 2479, 6184, 1996, 14725, 1011, 2301, 2573, 1997, 16660, 5506, 4747, 1012, 1006, 2008, 6251, 3964, 2195, 2477, 1045, 4342, 2013, 3752, 1996, 2338, 1998, 20059, 1996, 3319, 1012, 1007, 2002, 2101, 4136, 1037, 17652, 13156, 2099, 2008, 1996, 18179, 2018, 2719, 1037, 8203, 3639, 14790, 2007, 1996, 17967, 1012, 2247, 1996, 2126, 1010, 2010, 2670, 3738, 4553, 2070, 2524, 8220, 2055, 1996, 3896, 1997, 4586, 1998, 3256, 2006, 2770, 19838, 4726, 1010, 2004, 2092, 2004, 1996, 3151, 11803, 1005, 1055, 10800, 2008, 2045, 2024, 2116, 2420, 2190, 2649, 2004, 1000, 7483, 1010, 2651, 1010, 1998, 4826, 1010, 1000, 1999, 2029, 2498, 1997, 3602, 6433, 1012, 2216, 2420, 2202, 2006, 3327, 5197, 2044, 21882, 28574, 4430, 8847, 1037, 2329, 6432, 2386, 2041, 1997, 2624, 3799, 2008, 2633, 13984, 2015, 2014, 2952, 2008, 1996, 18179, 2003, 1999, 2755, 2439, 1010, 1998, 1996, 26790, 1011, 1011, 3005, 3570, 2052, 2031, 2042, 2130, 2062, 22917, 2018, 1996, 2142, 2163, 2772, 2006, 2000, 2019, 3820, 2426, 1996, 2647, 4204, 2000, 11113, 20872, 2232, 1996, 3218, 1011, 1011, 2001, 1999, 1996, 2159, 1997, 1996, 2647, 4204, 2085, 1037, 11304, 2911, 1012, 2021, 2025, 2061, 2172, 1037, 11304, 2911, 2025, 2000, 2022, 6334, 2011, 11290, 14289, 19422, 7066, 2588, 2014, 2709, 2045, 1010, 2044, 2029, 2195, 1997, 1996, 3738, 2253, 2046, 8340, 1999, 5619, 1012, 1996, 13251, 1997, 2195, 1997, 1996, 3719, 3626, 2265, 2070, 24666, 2007, 11044, 2310, 12119, 1005, 1055, 2101, 2105, 1996, 2088, 1999, 12021, 2420, 1006, 7572, 1007, 1010, 3391, 2073, 1996, 2248, 3058, 2240, 20487, 1996, 23687, 5286, 1010, 1998, 3174, 4595, 8121, 2104, 1996, 2712, 1006, 7612, 1007, 1010, 2073, 1996, 8435, 2012, 16660, 5506, 4747, 2024, 4986, 1012, 1006, 2310, 12119, 2036, 2626, 1037, 2625, 1011, 2092, 1011, 2124, 2147, 1010, 1996, 15823, 7190, 1010, 2055, 1996, 2062, 1043, 10278, 25373, 2021, 2625, 4621, 8443, 4073, 2006, 1996, 2152, 11915, 1012, 1007, 2045, 1005, 1055, 2062, 1010, 2172, 2062, 1010, 2000, 2023, 2466, 1012, 21882, 28574, 4430, 2081, 2014, 2126, 9689, 2000, 6220, 1010, 1998, 1996, 3738, 4821, 5770, 3064, 2013, 1000, 2007, 28238, 2646, 3904, 1010, 2007, 5952, 2646, 2035, 1012, 1000, 2021, 2017, 1005, 2222, 2031, 2000, 3191, 1996, 2338, 2000, 3305, 2026, 3601, 1997, 1037, 2516, 2005, 2023, 2695, 1012, 2045, 2024, 2019, 9643, 2843, 1997, 2111, 2041, 2045, 2040, 2444, 2037, 3268, 1999, 1037, 5377, 2110, 1997, 2659, 1011, 2504, 4078, 26029, 4181, 3401, 1024, 2027, 2031, 2205, 2116, 4981, 2000, 3694, 1010, 2037, 8628, 2024, 2025, 4699, 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, 8538, 1521, 1055, 5930, 11036, 2015, 2254, 3822, 1010, 2286, 2005, 9171, 2086, 1010, 8538, 17297, 2038, 2517, 1037, 12170, 1011, 4882, 5930, 4354, 2011, 5415, 15384, 25230, 2006, 5609, 1997, 2155, 2013, 1037, 4603, 1010, 3262, 3234, 7339, 1012, 7483, 2001, 2014, 2197, 1012, 17297, 2038, 2042, 1037, 9582, 13889, 13317, 2005, 2058, 2459, 2086, 1025, 5415, 15384, 25230, 3390, 2014, 2034, 5930, 1999, 2238, 1997, 2786, 1012, 2016, 2211, 4640, 1037, 5930, 3807, 1037, 2733, 1010, 2021, 2005, 1996, 2197, 2093, 2086, 2038, 2517, 1037, 5930, 2320, 1037, 2733, 1012, 8538, 2003, 3391, 2124, 2005, 3015, 2055, 2166, 1010, 3348, 1010, 10834, 1010, 3510, 1010, 1998, 3226, 1516, 3226, 2162, 7832, 2021, 2007, 1037, 2942, 3012, 1998, 4519, 2008, 11014, 2000, 4863, 1010, 2025, 7939, 23709, 3401, 1012, 1998, 1010, 2127, 3728, 1010, 2008, 1521, 1055, 1037, 4189, 7667, 1012, 2043, 1045, 2211, 9927, 4726, 2012, 18411, 2497, 1010, 1045, 5319, 8538, 2000, 2022, 1037, 24665, 20113, 2711, 12774, 2011, 1037, 3813, 6772, 2008, 1037, 3226, 2241, 2006, 1996, 12209, 1997, 2014, 2277, 2001, 2000, 1996, 5056, 1997, 2035, 1012, 2045, 2020, 1010, 1998, 2024, 1010, 5223, 2869, 9706, 16136, 2100, 1516, 2021, 8538, 2001, 2025, 2619, 1045, 2641, 1999, 2008, 4696, 1012, 2021, 2016, 2001, 3015, 2012, 2008, 2051, 2005, 1996, 2136, 2008, 2596, 2000, 2022, 3045, 1012, 2035, 1996, 2685, 2006, 1996, 3556, 6277, 2020, 2006, 2014, 2217, 1998, 2049, 2025, 2061, 2524, 2000, 2022, 20201, 3490, 27711, 2000, 1996, 12455, 2017, 2074, 21918, 2035, 2058, 1012, 2021, 2576, 2097, 2038, 5429, 1012, 9945, 2003, 2085, 1996, 14609, 9523, 3453, 1012, 2009, 1521, 1055, 6211, 2000, 2022, 3835, 1012, 1998, 2009, 1521, 1055, 2036, 7823, 2000, 2468, 1996, 2227, 1997, 1996, 4099, 1012, 2000, 2022, 2641, 5223, 2099, 1011, 1999, 1011, 2708, 2043, 2017, 2079, 2025, 2156, 4426, 1999, 2216, 3408, 2012, 2035, 1012, 8538, 2253, 2046, 1996, 3510, 2645, 8929, 2008, 2016, 2001, 2006, 2204, 3408, 2007, 5637, 2111, 1998, 3432, 2018, 1996, 4500, 2217, 1999, 1037, 2942, 5981, 2058, 2129, 2190, 3510, 2323, 2022, 3833, 1012, 2016, 2179, 2841, 1996, 2087, 6283, 2450, 2144, 12918, 12471, 1012, 1998, 1010, 1045, 2903, 2009, 2288, 2000, 2014, 1012, 2014, 13867, 3856, 2039, 12623, 1997, 22364, 1998, 4963, 1012, 1998, 2004, 1996, 3277, 2150, 6233, 3167, 1010, 8538, 1521, 1055, 16841, 5429, 2013, 4637, 1996, 4493, 15945, 2015, 1999, 3510, 2000, 10078, 5637, 2916, 3227, 1998, 1010, 2012, 2335, 1010, 5637, 2111, 1012, 2016, 2150, 2054, 2014, 4401, 2056, 2016, 2001, 1012, 1998, 2008, 2003, 6517, 1012, 2025, 2069, 2005, 2014, 2021, 2005, 2149, 1012, 2004, 1996, 3842, 5829, 2006, 1996, 4130, 2000, 12548, 10502, 1010, 2057, 2024, 2035, 2190, 2366, 2011, 4559, 2008, 2003, 5533, 2011, 6958, 2738, 2084, 6579, 2011, 2019, 19315, 1012, 2256, 9918, 2024, 2190, 10189, 2098, 2006, 1996, 2128, 8569, 28200, 1997, 2216, 2040, 6148, 2025, 2256, 6215, 2021, 3432, 2215, 2054, 2003, 2190, 2005, 1996, 3842, 1012, 1998, 2008, 2003, 2054, 8538, 2001, 2012, 2028, 2590, 2391, 2006, 2256, 4990, 1012, 2748, 1996, 2203, 1997, 8538, 1521, 1055, 5930, 2003, 2178, 3377, 2005, 9945, 1012, 2009, 2003, 2028, 2062, 12407, 2008, 1996, 2162, 2003, 2180, 1998, 2085, 2057, 2024, 2074, 3554, 1996, 7465, 2008, 2599, 2000, 3408, 1997, 3521, 1012, 2021, 2009, 2003, 2036, 1516, 2000, 2033, 4312, 1516, 1037, 6517, 2518, 1012, 1045, 2228, 2256, 3226, 2001, 13949, 2011, 2014, 3813, 2376, 1998, 2009, 2001, 1010, 5262, 1010, 1996, 8312, 1997, 2256, 7892, 1521, 2190, 9918, 2008, 3039, 2149, 2023, 3377, 1012, 2016, 3090, 2014, 2190, 2553, 1010, 1998, 3764, 2007, 8424, 1998, 6896, 1010, 2021, 4821, 1996, 3842, 2657, 2014, 4415, 1998, 5837, 2014, 3193, 1012, 8538, 2097, 3613, 3015, 1998, 4092, 1012, 2021, 2003, 2003, 1037, 5192, 1997, 2014, 9657, 2558, 1012, 2085, 2045, 2003, 4154, 1999, 2014, 2159, 1998, 15561, 1999, 2014, 15846, 1012, 2014, 2051, 2038, 2979, 1998, 2014, 2376, 2038, 2042, 4251, 2098, 1012, 8538, 1521, 1055, 19338, 2937, 7540, 2281, 5504, 1010, 2262, 3015, 1999, 2120, 3319, 3784, 1010, 1996, 2120, 3029, 2005, 3510, 1521, 1055, 8538, 17297, 26084, 2007, 2014, 9420, 2055, 2054, 5225, 2197, 2305, 1521, 1055, 2602, 3463, 1024, 1996, 8112, 13694, 3249, 3510, 1012, 1045, 1521, 1049, 16986, 2057, 4558, 2012, 2560, 2093, 1997, 3892, 1521, 1055, 2176, 3837, 1010, 1998, 2672, 2176, 1997, 1996, 2176, 1012, 2057, 2020, 21100, 11837, 2102, 2809, 1011, 2000, 1011, 2028, 1517, 1998, 2053, 2028, 2001, 5627, 2000, 3713, 2005, 3510, 1010, 2096, 1996, 2878, 3537, 5069, 1998, 5365, 16196, 2005, 3510, 1012, 2197, 2305, 2428, 2003, 1037, 2502, 3279, 1010, 2053, 2126, 2000, 6714, 2009, 1012, 1523, 1529, 1996, 2878, 3537, 5069, 1998, 5365, 16196, 2005, 3510, 1012, 1524, 2025, 1523, 16196, 2114, 3151, 3510, 1524, 1010, 2025, 1523, 16196, 2005, 2396, 28775, 8873, 9289, 3510, 1524, 1012, 2053, 1010, 8538, 2288, 2009, 2157, 1012, 1996, 3537, 5069, 1998, 5365, 1006, 1998, 1037, 2878, 2843, 1997, 2500, 1007, 16196, 2005, 3510, 1010, 2005, 1996, 11109, 1998, 13372, 1997, 1037, 8813, 2094, 5145, 2008, 2009, 2025, 2022, 21396, 8751, 2094, 2011, 15945, 2030, 2019, 19315, 2030, 20673, 19113, 1012, 1006, 2821, 1010, 1998, 2619, 7540, 4422, 2829, 1037, 3602, 2055, 9419, 1007, 1996, 2553, 2005, 19615, 2281, 4833, 1010, 2262, 2045, 4995, 1521, 1056, 2116, 2204, 4436, 2005, 1037, 5637, 2711, 2000, 3789, 2005, 10210, 2102, 19615, 2023, 2095, 1012, 2021, 3424, 1011, 5637, 7423, 1008, 8538, 17297, 7534, 2010, 2190, 2553, 1010, 2107, 2004, 2009, 2003, 1012, 2016, 1010, 1997, 2607, 1010, 2987, 1521, 1056, 2156, 2009, 2004, 2107, 1024, 1006, 2120, 3319, 1007, 5564, 1996, 2175, 2361, 27021, 1521, 8608, 3247, 2000, 8568, 2591, 3314, 6135, 2003, 2025, 5094, 1012, 1996, 2350, 19615, 3565, 14397, 2015, 2024, 1523, 18415, 1524, 14397, 2015, 1010, 11193, 2000, 2448, 2151, 2591, 1011, 3277, 14997, 2012, 2035, 1517, 3272, 1996, 2028, 3038, 19615, 2941, 6753, 11324, 1999, 2070, 3572, 1012, 3552, 1010, 5135, 1010, 5947, 1010, 4058, 1010, 3448, 1010, 2167, 3792, 1517, 2122, 2024, 2035, 2163, 2073, 1010, 2065, 7206, 4342, 2129, 6034, 2343, 8112, 2003, 2006, 11324, 1998, 5637, 3510, 1010, 2009, 2052, 2393, 19615, 1012, 2591, 11992, 2024, 9962, 2013, 2023, 2602, 1012, 2037, 2769, 3475, 1521, 1056, 2108, 2109, 1999, 2151, 5710, 2126, 2000, 10939, 7206, 1012, 2065, 19615, 12386, 1010, 2023, 2097, 2022, 2112, 1997, 1996, 3114, 2339, 1012, 2065, 19615, 5222, 1517, 1998, 1045, 2228, 2002, 2097, 1517, 2298, 2005, 2019, 6387, 3947, 2000, 2633, 5245, 2591, 3314, 2041, 1997, 1996, 2283, 1012, 1045, 3984, 2008, 2052, 2022, 1996, 3165, 14834, 2000, 3246, 2005, 1012, 2030, 1010, 2012, 2560, 1010, 1037, 1520, 9442, 8703, 1997, 3897, 1521, 14834, 1008, 2045, 2001, 1037, 2051, 2043, 1045, 2052, 2031, 2218, 2125, 2006, 4214, 8538, 2019, 3424, 1011, 5637, 7423, 1012, 2021, 2014, 17871, 2038, 1010, 1999, 1996, 2627, 2261, 2086, 1010, 5041, 6675, 2013, 2108, 4941, 2000, 9945, 2349, 2000, 2014, 5936, 2055, 2049, 8615, 8465, 2000, 7928, 2008, 2064, 2069, 2022, 2464, 2004, 14026, 17152, 2005, 1010, 2030, 19113, 2058, 1010, 5637, 2111, 1012, 1998, 2053, 2213, 2038, 2310, 6850, 2046, 1038, 20051, 4630, 24004, 24920, 1998, 5637, 17395, 2075, 1012, 2009, 1521, 1055, 2055, 1037, 2431, 1011, 3357, 2013, 2108, 1037, 5223, 2177, 1012, 8538, 17297, 1024, 1523, 1045, 2342, 1037, 3861, 1529, 2002, 1521, 1055, 2304, 1010, 2002, 1521, 1055, 2006, 2256, 2217, 1524, 2233, 15045, 1010, 2262, 3434, 3884, 6894, 1010, 1996, 2120, 3029, 2005, 3510, 1521, 1055, 2280, 2778, 19012, 1010, 2003, 2039, 16616, 2023, 2695, 2007, 2062, 22028, 28252, 2053, 2213, 1521, 1055, 7375, 1997, 2037, 3130, 3595, 5656, 5491, 15091, 2075, 3060, 1011, 4841, 2114, 3507, 12010, 4480, 1012, 2216, 22028, 4025, 2000, 2265, 8538, 17297, 1521, 1055, 3652, 17418, 2007, 4620, 1997, 2304, 2111, 1012, 2028, 10373, 1010, 4159, 1010, 1523, 1045, 2342, 1037, 2485, 1011, 2039, 6302, 1997, 3387, 2645, 2005, 1996, 17178, 4826, 1007, 7607, 1996, 2342, 1999, 2200, 3722, 3408, 1024, 1523, 2002, 1521, 1055, 2304, 1010, 2002, 1521, 1055, 2006, 2256, 2217, 1010, 2002, 1521, 1055, 2522, 12863, 1006, 2277, 1997, 2643, 1999, 4828, 1007, 1524, 2178, 10373, 2206, 1037, 8320, 1999, 2899, 1010, 1040, 1012, 1039, 1012, 2038, 17297, 3228, 2023, 3257, 1024, 1045, 1521, 1049, 2409, 1996, 8320, 2001, 2048, 1011, 12263, 10823, 1012, 2035, 1996, 7760, 2057, 2031, 2039, 2024, 2579, 2369, 2317, 2111, 1012, 2151, 6887, 4140, 1006, 14387, 1007, 2008, 3065, 1996, 4306, 2004, 2009, 2001, 1012, 3531, 4604, 2009, 2000, 2033, 1998, 6574, 10722, 4095, 7159, 1006, 14387, 1007, 2005, 2224, 1999, 2023, 2733, 1521, 1055, 17178, 1012, 1045, 2052, 2036, 2066, 1037, 6302, 1997, 6904, 16671, 10624, 2100, 2005, 1996, 17178, 1012, 1998, 2228, 2009, 2323, 2175, 2039, 2006, 1996, 9927, 1012, 8538, 2182, 2024, 2048, 7760, 2013, 1996, 1040, 1012, 1039, 1012, 8320, 1012, 2009, 3504, 2066, 8538, 2657, 3308, 1012, 3884, 6894, 2758, 2062, 22191, 2024, 2746, 1012, 2337, 5893, 1010, 2262, 8538, 17297, 2987, 1521, 1056, 5223, 2017, 1012, 2016, 2987, 1521, 1056, 2130, 5223, 2115, 3510, 1012, 2138, 5223, 2003, 2019, 7603, 1010, 1037, 13459, 3110, 1010, 1998, 7603, 3432, 2987, 1521, 1056, 4607, 2046, 8538, 1521, 1055, 3921, 2000, 2014, 2147, 1012, 5106, 2003, 1037, 2088, 1997, 2245, 1010, 1997, 8426, 2000, 2019, 7812, 1010, 1996, 4145, 1997, 3510, 1010, 1998, 2014, 17826, 3921, 2000, 21358, 27972, 2075, 2049, 4895, 15500, 3258, 3085, 12332, 1998, 5300, 1012, 2030, 2061, 4858, 2928, 6728, 11837, 18826, 1999, 1037, 2047, 12796, 3720, 2008, 11014, 2000, 3305, 1996, 14354, 2015, 1998, 9297, 1997, 8538, 17297, 1996, 3166, 1998, 7423, 1998, 2129, 2008, 2711, 12980, 2013, 8538, 17297, 1996, 2388, 1010, 2564, 1010, 1998, 2767, 1012, 2023, 2003, 1037, 7070, 2298, 2046, 8538, 1521, 1055, 2088, 1010, 2028, 2008, 2169, 1997, 2149, 2323, 2113, 2004, 2057, 3613, 2256, 2954, 2005, 9945, 1012, 2053, 2213, 22027, 2070, 19006, 2254, 17089, 1010, 2262, 2053, 2213, 1521, 1055, 9927, 2038, 1037, 2047, 2695, 2039, 1010, 2007, 2049, 2087, 25506, 2135, 23558, 17653, 2412, 1010, 2055, 19193, 18079, 1012, 13144, 2053, 27932, 2019, 10132, 5637, 2158, 2000, 1996, 2110, 4259, 2457, 1024, 2425, 13144, 2000, 10632, 6488, 1997, 4013, 1011, 7020, 2213, 3648, 2005, 4654, 7913, 23738, 5328, 1041, 16211, 3436, 7988, 1998, 8864, 1996, 3978, 2005, 2037, 19006, 1029, 1037, 3661, 2517, 2011, 9773, 5503, 5671, 1999, 2268, 2000, 2110, 5205, 3533, 9502, 6305, 23584, 2055, 3510, 9945, 1024, 2043, 1045, 2963, 2619, 2360, 2008, 2027, 2903, 3510, 2003, 2069, 2090, 1037, 2158, 1998, 1037, 2450, 2138, 2008, 1521, 1055, 1996, 2126, 2009, 1521, 1055, 2467, 2042, 1010, 1045, 2228, 1997, 1996, 2116, 1523, 7443, 1524, 2008, 17676, 2111, 1997, 2037, 2942, 2916, 2005, 4693, 1024, 13574, 2015, 2006, 6970, 22648, 4818, 3510, 1010, 8864, 1010, 1006, 2029, 2003, 2130, 3024, 2005, 1999, 1996, 6331, 1007, 1010, 18771, 1010, 1996, 4942, 8043, 13469, 5897, 1997, 2308, 1010, 2000, 2171, 2074, 1037, 2261, 1997, 2122, 1523, 7443, 1012, 1524, 1045, 3246, 2008, 2017, 5136, 2026, 5227, 2008, 2017, 2128, 1011, 16157, 2115, 2597, 1998, 1010, 2065, 2044, 10523, 1996, 6876, 1010, 3752, 3099, 21311, 1521, 1055, 3661, 1998, 3241, 2153, 2055, 2023, 3277, 1997, 2942, 2916, 2017, 2145, 15391, 2168, 1011, 3348, 3510, 2006, 5286, 2060, 2084, 4676, 1045, 2052, 9120, 2009, 2065, 2017, 2017, 1521, 1040, 4863, 2115, 2597, 2000, 2033, 1012, 1998, 1010, 2065, 1996, 3978, 1997, 2115, 4559, 2003, 3412, 1010, 2059, 1045, 6592, 2008, 2017, 2079, 2054, 1996, 2149, 4552, 25979, 1517, 1998, 2008, 2003, 2000, 5441, 1037, 8745, 2090, 1996, 2110, 1998, 4676, 1012, 8538, 17297, 4527, 2033, 2011, 4214, 2023, 3661, 1523, 20014, 6633, 4842, 3686, 1524, 1999, 1996, 2120, 3319, 1012, 2428, 1029, 1996, 2069, 3291, 6707, 1045, 2387, 2001, 1996, 4012, 2863, 2044, 1523, 8864, 1524, 1006, 2023, 2003, 2339, 2053, 2028, 18675, 2033, 2000, 4243, 1007, 1012, 2009, 2347, 1521, 1056, 2127, 2053, 14905, 21197, 3856, 2039, 1996, 2466, 2008, 1045, 2387, 2014, 22224, 1012, 2021, 2003, 2009, 9398, 1029, 2515, 5671, 1041, 16211, 2618, 7988, 1998, 8864, 1029, 1997, 2607, 2025, 1012, 1996, 2069, 4957, 2090, 8864, 1998, 7988, 1999, 5671, 1521, 1055, 3661, 2003, 1037, 25854, 6687, 20086, 2389, 2008, 2003, 25854, 2029, 25854, 2135, 2685, 2041, 2008, 1996, 6331, 1999, 2755, 25854, 2135, 3640, 2005, 8864, 1012, 2029, 2003, 1037, 2755, 1012, 5671, 2003, 2074, 7302, 2041, 2242, 2008, 29013, 2031, 2042, 24665, 29098, 2989, 2007, 2005, 4693, 1010, 2164, 2116, 2040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 11298, 1010, 10507, 2213, 2522, 1011, 2537, 20691, 2000, 1037, 3786, 1997, 21321, 1014, 7928, 1087, 6928, 1010, 2258, 2321, 1010, 2286, 1996, 3928, 2995, 2466, 1997, 1037, 6659, 28616, 21539, 1997, 3425, 1999, 5124, 5865, 2003, 1996, 3395, 1997, 1996, 3315, 7700, 1012, 2011, 6174, 7279, 4063, 9800, 2420, 3283, 6866, 1999, 1024, 4258, 2012, 2184, 1024, 2539, 2572, 1064, 2566, 9067, 19839, 2064, 2017, 2963, 1996, 5119, 28561, 1029, 2008, 1005, 1055, 2025, 2074, 2138, 2023, 5353, 6017, 1996, 1000, 3500, 2830, 1000, 2000, 11695, 10995, 2051, 2220, 2006, 4465, 1012, 2009, 1005, 1055, 2036, 2138, 2195, 4258, 5453, 2024, 2074, 2055, 2058, 1024, 2065, 2017, 2215, 2000, 2156, 2068, 1010, 2017, 2069, 2031, 1037, 2261, 2420, 2187, 1012, 2504, 2075, 2039, 1010, 1996, 7797, 17408, 1999, 1996, 2380, 1005, 1055, 2265, 2055, 2678, 27911, 2015, 1010, 2003, 2004, 3824, 2004, 2064, 2022, 1012, 2028, 1997, 2049, 3494, 2003, 8733, 2011, 1996, 23971, 2000, 4875, 24633, 2046, 2162, 10019, 1517, 4023, 2008, 6135, 14819, 2015, 1996, 6192, 2090, 1996, 2613, 2088, 1998, 16941, 23058, 1010, 2025, 2000, 5254, 1996, 7191, 7372, 2090, 4288, 2678, 16219, 1998, 5025, 2542, 2111, 1012, 1006, 3319, 2182, 1012, 1007, 1996, 2265, 2003, 2036, 2055, 2635, 3715, 1997, 2115, 2166, 1999, 1037, 2088, 1997, 16736, 1998, 5368, 1010, 2738, 2084, 17512, 2046, 23599, 2686, 1012, 15555, 11199, 21360, 7512, 1005, 1055, 5896, 3594, 2176, 3494, 1010, 2035, 3174, 14045, 20744, 2015, 1010, 2040, 2097, 4025, 2066, 2111, 2017, 2113, 1517, 2037, 2653, 1010, 2037, 4506, 1010, 2037, 5936, 2024, 1996, 4933, 1997, 3824, 2166, 1012, 3482, 2436, 1024, 4868, 2509, 1011, 29403, 1011, 4229, 2620, 2620, 1012, 2065, 2017, 2215, 2242, 2008, 1005, 1055, 3243, 15734, 3718, 2013, 10126, 2166, 1010, 2017, 2342, 2000, 4638, 2041, 1996, 24639, 1998, 19313, 3315, 4258, 3538, 2012, 15384, 1005, 1055, 2267, 1011, 11879, 1997, 2189, 1010, 14324, 27914, 7987, 15937, 2102, 1998, 9679, 11417, 3363, 1005, 1055, 1996, 2093, 11837, 4890, 3850, 1012, 1006, 3319, 2182, 1012, 1007, 2009, 1005, 1055, 2019, 2035, 20265, 2854, 1998, 16218, 1997, 13593, 16498, 1010, 2409, 2007, 2601, 8562, 1999, 1037, 2537, 2011, 10507, 2213, 3850, 3242, 5863, 19739, 8486, 3630, 1006, 2040, 2038, 9813, 5453, 2012, 1996, 4956, 3850, 1999, 2047, 2259, 2103, 1007, 1012, 2016, 4282, 2129, 2000, 2556, 1996, 9762, 8562, 1998, 26881, 13818, 1999, 7987, 15937, 2102, 1005, 1055, 5896, 1010, 1998, 1996, 10904, 10507, 2213, 3315, 4258, 9567, 1006, 5642, 2011, 1037, 2235, 23542, 4032, 6817, 2011, 3536, 11101, 2015, 1998, 8782, 1007, 3073, 2307, 14259, 2015, 1997, 11417, 3363, 1005, 1055, 3556, 1012, 2023, 2003, 1037, 6524, 2550, 2147, 1010, 5791, 4276, 3773, 1012, 3482, 2436, 1024, 4868, 2509, 1011, 4583, 2575, 1011, 4601, 2620, 2509, 1012, 3383, 2017, 9544, 2115, 22330, 8713, 2964, 1999, 2019, 4985, 2301, 5549, 1024, 2008, 1005, 1055, 2054, 2017, 1005, 2222, 2131, 2007, 7797, 8101, 2194, 1005, 1055, 2537, 1997, 4795, 14975, 2015, 1010, 1037, 2466, 1997, 1996, 18373, 4138, 2040, 20432, 3209, 2011, 7367, 8566, 6129, 1998, 26242, 2037, 15743, 8628, 1517, 2030, 2037, 7036, 13195, 1012, 1006, 3319, 2182, 1012, 1007, 2009, 1005, 1055, 2025, 1037, 3492, 2466, 1010, 1999, 2008, 1996, 2430, 3494, 2024, 8040, 29122, 2075, 1998, 2041, 2005, 2037, 2219, 4024, 1998, 5165, 1010, 2411, 2005, 7195, 1012, 2021, 2065, 2017, 2066, 11808, 5248, 1010, 2023, 2537, 2038, 2009, 1999, 23288, 2015, 1012, 2048, 1997, 20116, 2278, 1005, 1055, 2190, 8244, 1010, 26879, 9587, 7317, 2368, 17896, 1998, 13287, 9082, 1010, 2377, 1996, 13410, 2063, 2139, 21442, 2618, 19231, 1998, 1996, 10967, 5358, 2618, 2139, 11748, 9629, 1010, 1037, 3940, 1997, 7905, 5679, 2869, 2040, 2128, 13602, 2437, 1037, 6752, 1997, 2500, 1005, 3268, 1012, 2009, 1005, 1055, 2025, 3071, 1005, 1055, 2452, 1997, 5572, 1010, 2021, 2009, 1005, 1055, 1037, 23675, 3686, 1010, 12266, 2135, 27347, 3538, 1997, 4258, 1012, 3482, 2436, 1024, 4868, 2509, 1011, 29335, 1011, 21489, 2509, 1060, 1012, 1015, 1012, 1996, 3025, 2093, 3065, 3926, 2037, 3216, 2023, 5353, 1012, 2043, 1996, 4542, 6762, 4634, 2012, 2113, 3004, 2038, 2028, 2062, 2733, 1006, 2009, 14572, 2006, 2233, 2385, 1007, 1010, 2021, 2017, 2323, 2344, 2115, 9735, 2085, 1024, 1045, 5987, 1996, 2345, 4616, 2097, 2022, 2524, 2000, 2131, 2046, 2006, 2460, 5060, 1012, 1006, 3319, 2182, 1012, 1007, 2023, 2003, 2028, 1997, 1996, 2190, 3065, 2008, 2113, 2038, 9813, 1999, 2195, 3692, 1010, 1037, 2986, 1010, 3375, 5896, 2864, 2011, 1037, 10904, 3459, 1997, 3157, 1010, 2856, 2011, 25022, 9407, 10854, 4422, 7527, 8109, 1012, 1006, 2176, 1997, 1996, 3459, 2372, 2024, 20116, 2278, 24945, 1012, 1007, 2027, 2377, 2176, 8213, 1997, 2048, 2945, 1010, 13939, 1998, 6580, 7699, 6970, 21077, 1012, 1996, 2466, 25308, 2015, 2067, 1998, 5743, 2090, 3851, 1998, 18540, 2683, 1025, 2012, 2034, 2009, 3849, 2000, 2022, 4487, 2015, 5558, 18447, 2098, 1010, 2059, 2477, 3402, 4088, 2290, 2000, 2991, 2046, 2173, 1012, 2011, 1996, 2051, 2009, 1005, 1055, 2058, 1517, 2007, 2195, 16880, 5312, 2247, 1996, 2126, 1517, 2017, 1005, 2222, 2156, 2129, 2009, 2035, 16142, 2362, 1012, 2065, 2017, 4033, 1005, 1056, 2464, 2023, 2028, 2664, 1010, 2023, 2003, 1996, 7281, 2017, 2342, 2000, 2131, 1012, 3482, 2436, 1024, 4868, 2509, 1011, 3998, 1011, 5179, 2575, 2683, 1012, 2011, 7112, 21701, 2012, 2184, 1024, 4720, 2572, 1064, 2566, 9067, 19839, 2044, 19236, 2075, 2005, 2103, 19442, 1996, 3522, 2137, 5755, 15939, 1024, 12964, 2198, 7980, 2012, 2531, 4164, 2012, 15384, 1521, 1055, 2267, 1011, 11879, 1997, 2189, 1010, 1045, 3230, 1996, 10789, 2724, 2000, 2156, 1996, 2177, 1045, 2018, 2956, 1010, 6333, 2177, 7797, 1010, 4685, 7980, 1521, 1055, 2189, 2005, 2093, 2096, 1996, 10507, 2213, 6316, 8167, 8202, 2401, 2209, 7980, 1521, 1055, 8369, 2050, 1012, 2009, 2001, 2004, 11951, 1998, 4326, 1010, 2004, 26757, 25084, 8075, 1010, 2004, 2028, 24273, 1997, 7980, 1012, 2021, 2054, 2001, 3294, 9223, 1517, 1998, 7078, 1010, 3052, 17904, 2135, 1010, 26162, 1517, 2001, 1996, 2836, 2077, 2008, 1010, 10507, 2213, 3076, 19031, 21766, 15459, 5488, 1521, 1055, 26364, 1997, 1996, 2176, 5750, 1997, 10223, 6676, 1521, 1055, 3682, 10405, 1012, 6676, 1010, 2040, 2351, 1999, 2494, 1010, 2018, 2517, 1996, 10405, 1999, 1996, 3865, 2005, 6766, 24503, 1012, 1996, 3784, 2840, 3485, 2038, 2170, 2023, 12720, 1010, 3375, 1998, 22337, 2431, 1011, 3178, 3538, 1523, 2004, 18085, 2004, 2151, 2412, 3605, 2011, 2019, 2137, 1012, 1524, 1998, 2007, 2204, 3114, 1517, 2049, 15443, 13768, 9413, 29441, 1998, 28388, 2066, 13697, 1025, 2049, 27486, 1998, 2062, 21346, 5312, 2024, 9099, 23865, 4765, 1012, 2009, 2052, 4025, 1037, 3538, 2005, 1037, 9677, 6819, 5339, 19098, 6499, 1010, 2664, 21766, 15459, 5488, 3662, 14726, 1010, 8760, 24718, 1010, 2012, 4672, 3435, 1011, 13823, 5312, 8478, 1998, 9836, 1996, 6309, 1010, 2192, 2058, 2192, 1010, 2066, 11978, 4202, 1012, 2012, 2500, 1010, 2002, 2001, 2004, 28415, 11552, 2004, 2151, 28223, 4556, 16504, 1012, 11828, 1037, 3040, 1521, 1055, 1999, 3682, 2836, 1010, 21766, 15459, 5488, 2525, 2038, 2195, 6876, 2006, 2017, 7270, 1012, 2002, 1521, 1055, 1037, 13352, 2140, 5848, 1010, 2619, 1045, 8343, 2071, 2070, 2154, 2468, 1997, 10507, 2213, 1521, 1055, 2116, 2087, 26150, 2493, 1012, 2672, 2200, 2574, 1012, 2007, 9679, 11417, 3363, 3192, 3946, 1998, 13301, 1010, 10507, 2213, 16473, 2782, 12964, 9525, 4543, 1014, 7928, 1087, 9857, 1010, 2281, 2410, 1010, 2262, 1996, 2262, 1011, 2286, 2161, 2038, 2053, 2569, 7784, 2005, 9679, 11417, 3363, 1010, 1996, 2446, 1011, 2137, 4543, 1997, 1523, 2244, 2299, 1010, 1524, 1523, 3713, 2659, 1524, 1998, 1523, 11349, 1996, 5442, 1012, 1524, 2021, 2009, 1521, 1055, 1037, 8637, 2095, 2005, 1996, 2118, 1997, 7797, 1521, 1055, 2267, 1011, 11879, 1997, 2189, 1006, 10507, 2213, 1007, 1012, 1014, 7928, 1087, 9857, 1010, 2281, 1020, 1010, 2262, 5792, 2003, 1996, 2011, 18351, 2005, 2116, 2840, 4411, 2651, 1010, 2926, 12370, 2073, 3361, 2490, 2003, 7823, 2000, 6855, 1998, 7281, 12594, 2024, 15839, 2438, 2000, 2490, 1996, 3465, 1997, 5453, 1012, 2011, 2551, 2362, 1010, 18730, 2064, 2022, 4719, 1998, 1010, 1999, 2070, 3572, 1010, 3674, 13315, 2064, 2022, 8878, 1012, 2011, 14855, 2278, 22762, 8439, 1024, 2651, 1005, 1055, 5976, 7384, 11938, 2421, 2248, 26536, 25555, 2154, 1998, 2120, 13317, 2015, 2154, 1012, 4593, 1037, 1000, 26536, 17420, 1000, 2064, 6523, 2000, 2019, 5025, 21751, 2040, 2064, 26536, 9354, 2195, 5200, 2012, 2320, 2030, 1037, 2711, 2040, 1000, 26536, 17125, 1000, 3674, 8518, 2030, 10198, 1006, 3475, 1005, 1056, 2008, 2035, 1997, 2149, 1029, 1007, 1012, 2022, 2469, 2000, 2036, 2265, 2490, 2005, 2115, 5440, 2334, 13317, 2015, 2651, 1012, 2035, 7967, 2015, 1010, 4870, 1998, 12564, 10487, 2064, 2022, 2856, 2000, 6282, 2487, 2679, 2358, 1012, 1010, 5116, 1012, 25022, 9407, 2088, 5988, 4247, 2000, 2556, 4310, 2143, 6695, 2005, 1996, 13012, 1011, 2110, 2011, 11326, 1996, 4477, 2012, 2522, 21827, 1005, 1055, 11298, 2415, 3892, 1998, 9432, 1012, 2856, 2011, 3817, 5658, 10760, 2378, 1010, 1996, 4477, 2003, 2241, 2006, 6423, 11797, 1005, 1055, 11321, 10251, 3117, 1997, 1996, 2168, 2171, 1012, 18811, 4830, 14876, 2063, 3340, 2004, 1037, 3235, 1010, 1037, 22146, 2741, 2000, 12343, 2000, 5690, 1996, 2197, 1997, 1037, 4678, 6816, 8843, 1012, 3235, 2003, 2741, 2013, 2885, 2011, 2019, 20080, 16012, 15007, 3029, 1999, 2019, 3947, 2000, 14817, 29239, 7070, 7403, 3430, 2013, 1996, 3053, 1011, 8548, 6816, 1012, 1996, 11326, 4269, 2012, 1021, 1024, 2382, 1052, 1012, 1049, 1012, 2119, 2420, 1012, 9735, 2012, 1002, 2184, 1999, 5083, 1010, 1002, 2260, 2012, 1996, 2341, 1012, 3191, 2256, 3319, 2182, 1012, 2118, 1997, 7797, 1005, 1055, 2267, 1011, 11879, 1997, 2189, 1005, 1055, 2537, 1997, 25178, 7480, 3892, 2007, 1037, 19236, 2012, 1022, 1052, 1012, 1049, 1012, 1996, 2857, 3419, 2644, 19362, 2094, 4038, 3138, 2173, 1999, 2019, 2394, 2406, 2160, 1999, 12861, 1998, 2857, 1010, 15360, 2048, 2466, 3210, 2046, 2028, 25591, 1010, 2522, 21579, 3538, 1012, 2119, 3441, 3972, 6961, 2046, 2627, 1998, 2556, 23719, 1997, 3716, 1998, 6896, 1012, 1996, 2265, 3216, 2083, 4465, 1999, 10507, 2213, 1005, 1055, 10717, 24119, 4258, 1012, 9735, 2005, 3892, 1005, 1055, 19236, 2024, 2074, 1002, 2340, 1012, 1996, 25420, 3075, 4332, 18118, 2651, 1010, 1998, 2000, 8439, 1996, 5145, 1010, 2942, 2162, 5272, 2848, 2522, 13213, 6132, 2097, 2556, 1037, 8835, 2006, 7797, 11593, 10192, 1998, 1048, 22123, 2571, 1998, 2037, 6624, 1999, 1996, 2942, 2162, 1012, 10192, 2001, 1037, 2266, 1997, 1996, 25420, 3075, 1998, 2003, 2028, 1997, 2093, 2372, 2000, 2175, 2006, 2000, 2468, 2343, 1012, 2772, 4809, 1997, 2070, 1997, 2522, 13213, 2368, 1005, 1055, 2385, 2808, 2097, 2022, 2800, 2005, 5309, 1012, 1996, 1021, 1052, 1012, 1049, 1012, 8835, 2003, 1002, 2321, 2005, 2372, 1010, 1002, 2322, 2512, 1011, 2372, 1012, 3914, 2115, 3962, 2011, 4214, 4868, 2509, 1011, 5786, 2487, 1011, 5718, 16576, 1012, 3407, 5798, 1010, 21442, 2278, 999, 2017, 2123, 1005, 1056, 2298, 1037, 2154, 2058, 5018, 1012, 4638, 2041, 2256, 2189, 9927, 1998, 2000, 2079, 3931, 2005, 2062, 2840, 1010, 4258, 1010, 2824, 1998, 6759, 1012, 2011, 14855, 2278, 22762, 2812, 5948, 4314, 2135, 1517, 1996, 6555, 1010, 11900, 2591, 2177, 22057, 2013, 2542, 4314, 2135, 1012, 3693, 2066, 1011, 13128, 3633, 2012, 16271, 1521, 1055, 22201, 7668, 1006, 2034, 1998, 2353, 9857, 2015, 1025, 2117, 1998, 2959, 9857, 2015, 2012, 3803, 1521, 1055, 3347, 1998, 5835, 4497, 1007, 1998, 2831, 2783, 2824, 1010, 1996, 9046, 2602, 1998, 2060, 2980, 3314, 1999, 1037, 8363, 4292, 1012, 7180, 2011, 1021, 1024, 3429, 1052, 1012, 1049, 1012, 2000, 2131, 1999, 2006, 2019, 23400, 2080, 1521, 1055, 2344, 1012, 27263, 3540, 28832, 9661, 2038, 2275, 2039, 2049, 2502, 2327, 2012, 1996, 2924, 1997, 5612, 2415, 1998, 3892, 2003, 1996, 2197, 3382, 2000, 4638, 2041, 1996, 21177, 1012, 5987, 3115, 9661, 20672, 2066, 19130, 2015, 1998, 16825, 1010, 2152, 3347, 9567, 1998, 15912, 2015, 1012, 3288, 1996, 4268, 2220, 1998, 4638, 2041, 1037, 2489, 9004, 3436, 9201, 1998, 10777, 1010, 19130, 1998, 15606, 12271, 1012, 23811, 2015, 3892, 2024, 1018, 1024, 2382, 1998, 1021, 1024, 2382, 1052, 1012, 1049, 1025, 3288, 1002, 2184, 5356, 4198, 8663, 14028, 10708, 4247, 2049, 2186, 1997, 28676, 7492, 3892, 2007, 7156, 1010, 6674, 1998, 3135, 1058, 2100, 13466, 2368, 1012, 13466, 2368, 1521, 1055, 2466, 2003, 4417, 2007, 3365, 17571, 1516, 2016, 2001, 1996, 2034, 2304, 2931, 2557, 6180, 2000, 2455, 1037, 3539, 2051, 15453, 1999, 2047, 2259, 2103, 1010, 1996, 2034, 2450, 1999, 6475, 4341, 2012, 27680, 2932, 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, 2019, 4824, 1997, 1996, 3267, 1997, 4483, 2749, 1998, 2037, 4254, 2006, 2449, 1012, 1059, 2232, 3044, 2003, 2028, 1996, 5221, 2338, 16629, 1999, 1996, 2866, 6600, 2009, 2038, 4265, 2013, 1037, 14534, 19481, 2213, 3279, 1999, 2432, 4102, 2007, 11372, 1997, 27813, 2475, 2213, 1999, 2494, 1010, 1006, 2189, 4341, 2377, 1037, 3145, 2112, 1999, 3044, 1005, 1055, 2047, 5656, 1010, 2432, 1007, 1012, 3568, 2019, 4106, 1997, 1059, 2232, 3044, 3791, 2000, 2022, 4986, 2007, 4824, 1996, 2749, 2164, 2119, 6327, 1998, 4722, 3924, 2029, 3747, 2049, 2836, 1010, 2926, 1999, 2422, 1997, 2049, 3522, 3532, 2836, 1998, 6592, 6143, 5761, 2029, 2071, 2022, 2579, 2000, 28667, 27351, 2023, 3663, 1012, 2429, 2000, 3779, 1998, 8040, 19990, 1006, 2526, 1007, 1996, 6327, 4044, 2005, 1037, 5971, 9178, 2064, 2022, 4055, 2046, 1996, 26632, 4044, 2029, 2064, 2022, 20302, 23274, 2094, 2083, 1996, 2224, 1997, 1996, 20739, 2884, 2944, 1998, 1996, 12702, 4483, 6123, 2005, 1996, 5502, 2029, 2003, 4225, 2004, 1996, 3068, 2749, 2029, 3747, 1996, 9675, 2194, 1012, 1999, 4847, 1997, 2023, 2059, 8716, 1521, 1055, 2274, 2749, 7705, 2003, 6179, 1999, 6195, 1996, 2364, 6327, 2749, 2008, 2031, 2018, 14670, 2006, 1996, 2836, 1997, 1059, 2232, 3044, 2119, 1999, 1037, 4997, 1998, 3893, 3168, 1012, 2034, 1997, 2035, 1996, 3145, 12878, 10066, 1999, 7189, 2000, 2338, 7027, 2075, 1998, 16629, 3227, 2064, 2022, 2464, 2013, 17522, 1011, 3451, 1010, 3171, 1010, 10660, 1998, 3423, 15251, 1012, 1996, 2087, 2590, 9874, 2000, 3058, 7175, 2338, 16629, 2038, 2042, 1996, 2458, 1997, 1996, 4274, 2029, 2038, 5044, 7325, 13131, 9164, 1999, 2536, 3971, 1999, 3327, 1999, 1996, 5450, 1998, 2965, 1999, 2029, 2027, 5309, 2808, 1012, 2349, 2000, 1996, 2458, 1997, 2122, 10660, 15463, 1996, 2224, 1997, 1996, 4274, 2038, 3445, 5901, 1998, 2429, 2000, 1037, 5002, 3344, 2041, 2011, 1996, 9123, 2865, 1999, 7027, 2177, 1006, 10047, 10623, 1007, 2431, 1997, 1996, 2561, 2484, 1012, 1019, 2454, 3911, 4198, 3477, 21853, 14142, 6604, 2000, 7532, 2000, 1996, 4773, 2029, 16691, 1037, 2312, 3361, 8426, 2000, 1996, 4773, 1998, 1037, 2312, 6325, 1997, 4274, 5198, 15982, 3973, 2408, 1996, 2866, 1010, 1006, 10047, 10623, 1012, 8917, 1010, 2432, 1007, 1012, 1999, 2804, 1996, 2866, 2231, 2038, 6118, 11886, 1996, 2458, 1997, 1037, 1520, 3423, 1998, 10807, 4044, 1521, 2000, 10956, 2993, 2000, 2022, 1996, 2190, 2173, 1999, 1996, 2088, 2000, 6204, 1041, 1011, 6236, 2011, 2526, 1999, 3365, 3343, 8635, 1998, 10738, 11107, 1010, 1006, 26033, 10136, 1004, 24405, 16529, 1010, 2526, 1007, 1012, 2107, 5750, 1998, 4013, 3630, 17457, 8163, 2064, 2036, 2022, 2404, 2046, 1996, 6123, 1997, 2172, 12368, 2647, 12878, 2875, 1037, 2062, 4198, 1998, 2009, 1011, 16865, 4383, 7327, 2695, 11929, 6465, 1012, 3365, 12265, 1998, 2470, 2038, 5393, 2008, 7325, 9920, 1997, 1041, 1011, 6023, 1999, 1996, 2866, 2003, 2172, 3020, 2084, 1999, 2116, 2060, 2647, 3032, 1998, 3463, 1997, 2107, 2470, 2038, 10173, 2008, 3784, 7325, 5938, 1999, 1996, 2866, 2097, 4125, 2013, 2149, 1002, 1016, 1012, 1020, 4551, 1999, 2456, 2000, 2149, 1002, 2382, 4551, 2011, 2384, 1010, 1006, 16319, 2121, 2470, 1010, 2456, 1007, 1012, 2013, 2023, 7339, 2059, 1996, 2458, 1997, 1996, 4274, 2064, 2022, 2464, 2004, 1037, 2364, 1998, 4187, 4495, 2005, 2338, 16629, 2107, 2004, 1059, 2232, 3044, 1012, 2023, 2003, 2138, 2009, 2003, 2038, 2042, 4081, 1999, 1996, 2470, 2008, 2808, 2024, 1996, 2034, 7027, 4696, 2000, 2029, 8013, 1521, 1055, 3086, 1999, 3408, 1997, 4274, 6023, 4332, 2000, 1012, 5262, 3383, 1996, 4274, 1521, 4602, 3112, 2466, 2038, 2042, 1996, 4125, 1998, 14053, 1997, 9733, 1012, 4012, 2029, 2038, 2328, 2049, 2449, 2006, 1996, 5096, 1997, 2808, 1012, 5262, 1996, 3739, 1997, 9733, 1012, 4012, 16452, 2064, 2022, 2464, 2004, 2028, 1997, 1996, 4054, 8767, 2005, 2338, 16629, 9582, 1012, 5678, 1996, 4852, 2504, 1997, 2495, 2000, 2022, 2179, 2426, 10390, 15982, 3973, 16605, 2000, 2338, 20196, 1059, 2232, 3044, 1999, 3408, 1997, 1996, 4495, 2009, 7534, 1997, 4975, 2019, 4274, 2241, 2338, 7027, 2075, 2944, 2000, 2674, 2119, 7325, 7670, 2005, 2808, 1998, 2037, 18394, 1999, 3408, 1997, 1037, 2126, 1997, 6023, 2029, 20437, 2229, 2007, 2037, 9580, 2015, 1012, 2009, 2038, 2004, 2107, 2059, 2042, 5275, 2008, 2783, 10390, 5478, 19059, 1998, 2062, 4621, 10960, 2000, 2037, 7670, 2349, 2000, 2122, 5278, 9580, 2015, 1998, 6516, 2009, 2003, 8995, 2000, 2022, 5204, 1997, 1996, 4852, 2373, 1997, 10390, 1999, 1996, 7027, 2075, 3068, 1998, 1999, 3327, 1996, 2338, 7027, 2075, 3068, 1012, 2174, 1059, 2232, 3044, 2009, 2064, 2022, 6118, 5275, 2038, 3478, 2000, 3113, 2023, 4119, 6464, 2029, 2038, 2357, 2046, 2108, 1037, 2350, 11251, 2005, 1996, 2194, 1012, 2023, 11251, 2003, 1999, 3327, 7686, 1999, 2037, 2125, 1011, 1996, 1011, 11142, 2640, 1997, 2037, 4037, 2008, 2515, 2025, 4906, 2007, 1996, 4435, 3746, 28252, 3809, 28616, 18900, 8376, 2090, 5228, 8996, 2000, 2224, 1996, 4274, 6464, 1998, 1996, 7375, 1997, 2107, 8996, 1999, 4507, 1012, 2947, 2231, 2490, 1998, 3423, 2458, 1999, 21575, 2047, 1041, 1011, 7027, 2075, 3596, 2096, 23734, 6461, 2012, 3228, 6695, 2000, 2119, 3316, 1998, 10390, 2038, 2012, 1996, 2168, 2051, 2580, 8767, 2000, 1059, 2232, 3044, 2349, 2000, 2037, 13720, 2000, 5618, 2013, 2107, 8973, 1012, 16629, 2107, 2004, 9733, 1012, 4012, 1998, 9957, 1004, 7015, 2031, 11241, 4121, 8310, 1997, 2769, 1999, 9229, 2037, 3036, 1998, 9394, 2836, 1999, 3408, 1997, 1041, 1011, 6023, 1998, 5452, 5147, 2011, 5378, 2896, 3976, 1998, 2051, 1011, 12379, 3688, 2008, 6869, 8790, 3973, 2000, 1996, 2047, 7670, 1997, 1041, 1011, 5204, 10390, 1010, 1006, 10556, 11650, 2102, 1011, 2829, 1004, 9345, 15061, 2080, 1010, 2432, 1007, 1012, 7297, 2971, 2038, 2036, 2272, 2013, 26676, 2107, 2004, 2004, 2850, 1998, 8915, 9363, 1998, 15744, 2066, 20287, 2615, 1999, 3408, 1997, 4024, 4031, 8483, 1998, 2208, 1999, 1996, 3274, 2208, 7027, 2075, 3006, 1012, 3568, 6387, 2971, 2003, 2178, 3145, 5081, 2000, 1996, 7691, 1997, 1059, 7898, 2119, 8325, 16629, 1998, 2047, 2236, 16629, 2582, 18612, 11787, 2037, 4031, 8483, 1012, 2009, 2003, 2590, 2036, 2000, 5254, 2178, 2350, 9874, 2008, 2038, 2018, 1037, 3278, 4254, 2006, 1996, 2338, 7027, 2075, 3068, 2029, 2064, 2022, 4225, 2004, 1996, 2506, 3930, 1998, 14053, 1997, 1037, 3795, 4610, 2008, 3640, 2047, 3795, 6089, 2005, 1996, 4935, 1997, 3044, 1012, 2174, 2429, 2000, 8070, 1006, 2432, 1007, 1996, 2149, 5426, 3734, 2011, 3044, 2015, 2004, 2112, 1997, 2049, 4935, 3488, 2031, 2042, 21866, 1997, 2012, 1037, 3465, 1997, 1069, 2575, 2487, 2213, 2000, 1996, 20196, 2349, 2000, 2037, 4945, 2000, 19136, 1996, 2149, 3006, 6464, 1012, 1999, 3408, 1997, 3452, 5656, 2059, 1059, 2232, 3044, 1521, 1055, 3544, 2013, 2122, 20390, 2000, 2031, 3809, 3471, 1999, 14120, 2000, 2047, 2591, 1010, 3451, 1998, 3171, 12878, 1999, 1996, 3144, 6204, 1997, 2049, 2449, 1012, 1037, 2440, 4824, 1997, 1059, 2232, 3044, 1521, 1055, 2836, 2174, 3791, 2000, 2022, 20302, 23274, 2094, 2013, 2119, 1996, 2449, 4044, 1998, 2036, 7175, 2049, 6143, 9859, 2008, 2024, 1996, 2087, 3497, 2000, 2031, 2019, 4254, 2006, 1996, 2458, 1997, 5656, 1999, 1037, 3144, 3168, 1012, 2009, 2003, 10358, 2008, 1996, 4945, 1997, 2049, 2627, 9942, 2038, 2018, 1996, 2765, 1997, 3652, 5971, 21775, 1999, 3408, 1997, 2506, 3532, 2836, 1997, 2049, 2449, 3197, 1998, 2037, 2506, 2659, 3798, 1997, 8122, 1999, 4082, 1999, 2037, 6089, 1012, 1996, 2968, 2136, 3728, 7782, 2135, 2787, 2000, 12666, 1037, 18612, 9031, 5656, 2029, 2001, 5642, 2011, 1996, 14558, 1520, 2062, 1997, 2054, 2017, 2428, 2215, 1521, 1010, 1006, 3044, 1010, 2432, 1007, 1012, 2174, 2004, 2057, 7203, 2682, 2054, 10390, 4025, 2000, 2428, 2215, 2004, 21328, 2011, 1996, 2470, 2038, 2025, 2042, 2777, 2011, 1996, 9347, 1997, 1996, 20196, 1521, 1055, 5656, 1012, 2049, 18612, 9031, 5656, 2009, 2052, 4025, 2038, 2025, 2042, 2438, 1997, 1037, 7490, 2689, 1010, 1037, 2689, 2029, 2009, 2064, 2022, 5275, 2003, 4072, 2005, 1996, 20196, 2000, 15581, 2000, 1996, 5294, 2135, 8776, 7027, 6123, 1998, 4044, 1999, 2029, 2009, 4858, 2993, 2651, 1012, 1996, 4945, 1997, 2023, 18612, 9031, 5656, 2064, 2022, 4415, 2464, 1999, 1996, 2312, 6409, 14513, 2098, 2039, 2011, 1996, 20196, 2206, 1996, 4955, 1997, 1996, 5656, 1012, 2506, 5410, 6202, 2039, 2127, 2197, 4234, 1998, 1996, 13720, 1997, 1996, 20196, 1521, 1055, 2968, 2136, 2000, 3749, 10960, 1998, 6143, 7047, 2005, 1996, 2194, 13275, 3809, 3980, 2055, 1996, 21150, 2059, 1997, 1996, 2783, 2968, 2136, 1012, 2107, 2968, 10697, 2064, 2022, 2464, 2005, 2742, 5678, 1999, 1996, 3768, 1997, 5971, 4037, 2458, 2029, 2064, 2022, 27481, 2098, 2000, 2031, 5591, 1996, 4435, 3746, 2426, 10390, 3810, 2000, 1996, 4274, 2005, 2037, 2338, 7027, 2075, 3791, 1012, 2004, 2107, 2059, 2009, 2003, 8995, 2008, 2004, 1037, 3151, 2338, 20196, 1996, 5038, 2003, 2081, 2008, 4435, 2171, 2003, 1037, 3145, 3112, 5387, 2005, 3044, 1999, 6637, 1999, 2338, 7027, 2075, 3068, 5147, 2119, 2012, 1996, 2556, 2051, 1998, 1999, 1996, 2925, 1012, 16237, 1006, 2432, 1007, 9251, 2008, 1059, 2232, 3044, 1998, 1996, 3746, 1997, 1996, 4435, 1998, 1996, 4871, 3378, 2007, 2008, 4435, 2024, 3924, 2029, 6592, 2019, 2041, 1997, 3058, 7027, 14848, 8669, 1037, 2784, 8901, 1998, 15685, 4945, 1997, 2968, 1997, 1996, 4435, 2171, 5147, 1012, 1999, 2060, 2616, 2009, 2064, 2022, 4081, 2008, 1996, 4435, 3746, 1998, 2049, 3768, 1997, 2715, 6648, 11138, 1996, 2062, 2236, 5936, 1997, 3044, 2015, 2025, 25357, 2000, 2047, 12878, 1012, 1999, 2422, 1997, 2122, 19628, 1998, 21775, 2174, 2009, 2064, 2022, 3090, 2008, 2348, 1059, 7898, 2038, 3478, 2000, 3113, 2122, 2047, 7860, 1999, 2536, 3971, 1996, 3276, 2029, 2009, 2038, 2007, 20141, 1998, 8544, 2064, 2022, 1037, 3997, 2005, 1996, 2194, 2065, 2764, 1998, 2109, 5147, 1999, 2047, 9942, 2005, 3112, 2306, 1996, 3006, 1012, 2005, 2742, 2019, 2590, 9584, 2000, 3342, 2003, 2008, 8544, 2031, 2042, 16408, 1997, 1996, 6143, 3431, 1999, 1996, 1059, 7898, 2808, 2136, 1998, 2298, 2275, 2000, 2522, 1011, 5452, 1998, 2022, 1037, 2112, 1999, 2151, 2582, 3431, 7531, 1998, 5625, 2011, 1996, 20196, 1999, 3433, 2000, 1996, 15399, 2009, 5344, 1010, 1006, 9443, 1010, 2432, 1007, 1012, 2174, 2122, 3893, 6550, 2342, 2000, 2022, 12042, 2011, 4997, 3924, 1010, 2107, 2004, 1996, 7860, 10807, 2135, 2000, 2022, 4320, 2011, 1996, 2194, 1999, 3408, 1997, 1996, 9347, 1998, 2968, 1997, 2049, 11550, 5029, 2005, 5126, 1012, 2023, 4119, 2097, 2053, 4797, 2036, 2022, 28024, 2094, 1998, 2022, 2019, 3277, 1997, 2582, 5142, 2005, 1996, 15337, 1999, 1996, 2194, 2004, 1996, 10807, 8190, 1997, 2023, 2468, 2062, 6835, 1998, 2062, 1037, 10859, 1997, 1996, 3361, 2836, 1997, 1996, 20196, 1999, 1996, 2925, 1012, 1996, 2176, 2364, 7236, 1997, 7027, 3136, 2005, 1059, 7898, 2024, 2808, 1010, 4024, 2407, 1010, 2276, 7301, 1998, 2049, 2739, 2407, 1012, 4481, 2031, 3936, 2008, 1996, 4966, 4341, 2005, 1996, 2194, 5598, 2039, 2322, 3867, 2029, 2064, 2022, 4225, 2004, 1037, 5356, 11190, 4753, 2005, 1996, 20196, 2429, 2000, 3731, 1521, 1055, 2944, 1010, 1006, 8981, 1010, 2494, 1007, 1012, 2174, 2119, 1996, 2189, 6903, 1997, 1996, 2194, 1998, 2049, 14959, 3688, 2119, 3333, 1999, 3408, 1997, 4341, 4481, 3243, 5901, 2947, 2009, 3544, 2008, 2122, 9214, 2323, 2022, 3013, 2091, 2030, 3044, 2015, 2323, 6164, 2023, 3006, 2349, 2000, 1996, 6387, 2971, 1999, 3327, 2013, 8325, 11670, 1998, 1996, 2659, 6975, 10673, 2029, 2085, 6526, 1999, 2122, 6089, 1012, 1999, 2023, 3168, 2059, 1999, 1037, 6143, 3168, 1996, 2006, 2271, 2003, 2006, 3044, 2015, 2000, 10152, 2006, 2216, 3033, 1997, 2049, 2449, 2029, 2024, 4488, 2092, 1998, 2000, 2693, 2185, 2013, 2054, 2453, 2022, 2641, 3151, 9214, 1997, 2049, 3136, 2130, 2065, 2107, 5829, 2453, 2022, 6801, 1012, 3251, 1996, 20196, 2038, 1996, 4072, 2097, 2000, 8526, 1999, 2107, 7490, 3431, 2003, 2174, 1037, 2350, 3160, 2005, 1996, 2194, 1010, 2049, 15337, 1998, 6304, 1012, 6660, 1998, 12098, 19696, 3468, 1996, 3145, 3277, 2005, 1996, 2194, 3464, 1996, 14388, 6622, 1997, 1996, 4274, 1998, 3378, 6786, 1998, 1996, 14053, 1997, 9786, 2107, 2004, 9733, 1012, 4012, 1999, 3433, 2000, 3652, 7325, 5157, 2005, 2023, 2047, 4118, 1997, 7027, 2075, 1012, 2338, 16629, 1999, 2236, 1998, 2025, 2069, 1059, 2232, 3044, 2031, 6915, 2007, 1996, 3247, 1997, 2043, 1998, 2129, 2000, 11092, 2019, 4274, 3739, 1998, 2500, 2031, 2042, 2062, 3144, 2084, 2500, 1012, 1059, 2232, 3044, 1521, 1055, 1999, 3327, 2038, 2025, 2042, 1037, 3112, 1999, 5738, 1996, 3784, 3006, 5147, 1998, 1996, 2062, 2023, 2433, 1997, 7027, 2075 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2573, 1997, 1996, 5771, 1001, 1016, 2506, 2013, 2197, 3204, 2023, 1045, 2360, 2059, 1010, 3328, 1999, 1996, 4382, 1010, 1998, 6300, 4618, 2025, 13883, 1996, 11516, 1997, 1996, 5771, 1012, 2005, 1996, 5771, 11516, 11031, 2114, 1996, 4382, 1010, 1998, 1996, 4382, 2114, 1996, 5771, 1024, 1998, 2122, 2024, 10043, 1996, 2028, 2000, 1996, 2060, 1024, 2061, 2008, 6300, 3685, 2079, 1996, 2477, 2008, 6300, 2052, 1012, 2021, 2065, 6300, 2022, 2419, 1997, 1996, 4382, 1010, 6300, 2024, 2025, 2104, 1996, 2375, 1012, 2085, 1996, 2573, 1997, 1996, 5771, 2024, 19676, 1010, 2029, 2024, 2122, 1025, 29169, 1010, 2005, 12782, 3508, 1010, 4470, 20147, 4757, 1010, 5869, 6895, 24918, 2791, 1010, 10282, 4017, 2854, 1010, 21599, 1010, 11150, 1010, 23284, 1010, 7861, 9513, 2015, 1010, 14532, 1010, 27865, 1010, 7367, 20562, 2015, 1010, 2182, 14625, 1010, 21103, 8613, 1010, 9916, 1010, 15967, 2791, 1010, 7065, 23918, 2015, 1010, 1998, 2107, 2066, 1024, 1997, 1996, 2029, 1045, 2425, 2017, 2077, 1010, 2004, 1045, 2031, 2036, 2409, 2017, 1999, 2051, 2627, 1010, 2008, 2027, 2029, 2079, 2107, 2477, 4618, 2025, 22490, 1996, 2983, 1997, 2643, 1012, 1006, 14891, 1012, 1019, 1024, 2385, 1011, 2538, 1010, 1047, 3501, 2615, 1007, 1012, 1996, 15516, 2182, 3855, 4025, 2000, 2991, 2046, 2176, 2967, 1024, 1006, 1015, 1007, 18753, 3012, 2005, 12782, 3508, 1010, 4470, 20147, 4757, 1010, 5869, 6895, 24918, 2791, 1025, 1006, 1016, 1007, 22300, 2477, 1999, 1996, 6259, 8391, 1011, 10282, 4017, 2854, 1010, 2061, 19170, 2854, 1025, 1006, 1017, 1007, 3596, 1997, 12532, 4103, 1011, 4372, 22930, 3111, 1010, 27865, 1010, 9981, 3111, 1010, 14532, 2015, 1010, 13815, 1010, 5908, 1010, 4243, 1010, 21103, 8613, 1025, 1006, 1018, 1007, 20014, 6633, 4842, 3686, 9987, 2229, 1011, 15967, 2791, 1010, 7065, 23918, 2015, 1025, 1998, 3383, 1037, 3587, 1011, 1998, 2107, 2066, 2477, 1012, 2057, 2031, 2246, 2012, 2216, 2477, 3205, 1999, 1015, 1998, 1016, 1031, 1999, 1996, 2197, 3277, 1997, 1041, 2546, 1033, 1010, 2085, 2057, 2097, 4780, 5060, 1996, 15516, 3205, 1999, 1017, 1012, 3596, 1997, 12532, 4103, 1998, 1018, 1012, 20014, 6633, 4842, 3686, 9987, 2229, 1012, 1996, 2773, 5421, 1000, 4372, 16383, 1000, 2038, 2042, 5421, 2011, 1037, 3528, 1997, 2616, 1025, 2107, 2004, 1024, 11150, 1010, 4372, 16383, 1010, 26260, 2015, 1010, 26260, 2075, 1010, 10420, 2030, 18258, 1010, 13552, 1010, 8203, 4372, 16383, 1010, 4385, 1012, 2000, 5223, 7127, 24391, 1998, 4895, 29427, 10128, 19210, 5346, 2646, 2500, 1010, 3251, 2646, 1996, 7036, 2030, 2011, 8203, 2019, 16339, 17759, 1012, 1999, 1015, 2198, 1017, 1024, 2321, 1010, 2002, 2040, 16424, 2010, 2567, 2003, 2170, 1037, 13422, 1010, 2005, 1996, 8254, 3658, 1999, 1996, 20546, 22137, 1010, 1997, 2029, 1996, 2552, 2003, 1996, 15436, 3670, 1012, 1996, 2773, 5421, 1000, 4372, 16383, 1000, 2003, 2109, 2069, 2274, 2335, 1999, 1996, 2047, 9025, 1012, 2182, 1999, 14891, 1012, 1019, 1024, 2322, 2004, 1037, 2147, 1997, 1996, 5771, 1012, 1999, 5355, 2603, 1024, 2260, 1997, 5394, 2094, 1998, 14255, 13806, 1012, 1999, 17083, 1012, 1022, 1024, 1021, 2057, 2024, 2409, 2008, 1996, 2568, 1997, 1996, 5771, 2003, 4372, 16383, 2007, 2643, 1012, 4958, 2232, 1012, 1016, 1024, 2403, 1010, 2385, 7657, 2008, 4441, 8961, 1996, 4372, 16383, 2090, 2158, 1998, 2643, 2011, 2010, 8688, 1012, 2508, 1018, 1024, 1018, 2758, 1010, 1000, 6300, 4639, 18702, 8583, 1010, 2113, 6300, 2025, 2008, 1996, 6860, 1997, 1996, 2088, 2003, 4372, 16383, 2007, 2643, 1029, 2040, 6499, 22507, 3568, 2052, 2022, 1037, 2767, 1997, 1996, 2088, 2191, 2705, 2370, 2019, 4099, 1997, 2643, 1012, 1000, 1996, 2773, 5421, 1000, 27865, 1000, 2003, 2036, 5421, 2011, 1996, 2616, 1000, 23284, 1000, 1006, 1047, 3501, 2615, 1007, 1998, 1000, 18974, 1000, 1012, 27865, 2030, 23284, 2003, 1996, 3670, 1997, 11150, 2030, 4372, 16383, 1012, 4372, 16383, 2003, 1996, 2110, 2030, 7729, 1997, 2568, 2646, 2060, 2111, 1025, 1998, 27865, 2003, 1996, 9560, 1999, 5025, 2166, 1997, 2008, 2110, 1997, 2568, 1012, 1006, 2156, 13815, 1007, 1000, 1996, 7117, 2773, 1999, 1996, 3306, 2003, 27838, 10483, 1010, 2013, 2029, 1996, 2773, 27838, 2389, 2003, 5173, 1012, 2009, 2089, 2031, 2593, 1037, 2204, 2030, 1037, 2919, 9530, 17048, 3370, 1010, 5834, 2006, 1996, 6123, 1012, 1999, 14891, 1012, 1017, 1024, 2322, 2009, 2003, 2109, 1999, 1996, 2919, 3168, 1011, 2008, 1997, 4372, 24918, 10685, 1012, 15351, 2758, 1010, 1005, 14225, 14714, 2000, 2031, 1996, 2168, 2030, 1996, 2168, 4066, 1997, 2518, 2005, 2993, 1012, 1005, 23724, 2758, 1010, 1005, 27838, 10483, 2071, 19090, 1037, 2307, 2518, 2029, 2139, 6914, 16848, 2046, 1037, 8254, 1012, 1005, 2000, 11949, 1996, 10106, 1997, 2178, 2064, 16130, 2306, 2028, 1996, 4792, 2000, 1005, 7861, 9869, 1005, 2030, 1005, 10047, 17570, 1005, 2007, 1037, 3193, 2000, 10910, 1996, 2168, 4276, 19927, 2518, 1999, 25763, 1012, 2021, 2065, 1996, 2168, 16290, 1010, 2204, 2012, 2034, 1010, 2323, 27895, 2000, 1037, 8618, 20234, 2059, 27838, 10483, 4150, 1037, 2147, 1997, 1996, 5771, 1012, 2023, 26118, 1997, 27838, 2389, 2003, 2025, 1996, 2147, 1997, 1996, 4382, 2021, 1997, 1996, 5771, 1012, 1000, 1011, 1046, 1012, 19863, 26006, 5922, 9981, 3111, 1010, 2036, 5421, 7861, 9513, 2015, 1010, 2003, 1996, 3110, 1997, 5665, 2097, 2012, 1996, 2204, 7280, 1997, 2178, 1012, 2009, 2003, 15615, 1997, 3167, 4262, 1998, 3265, 8404, 1012, 2023, 3255, 6076, 2025, 2013, 1996, 2755, 2008, 1996, 27541, 2121, 2515, 2025, 10295, 1996, 2986, 2518, 1006, 1037, 6664, 1010, 2019, 3932, 1010, 1037, 8281, 1010, 4385, 1007, 1025, 2009, 6076, 2013, 1996, 2755, 2008, 1996, 2060, 2711, 2515, 1012, 1996, 8281, 3444, 1997, 1996, 2773, 5421, 1000, 14532, 1000, 2003, 2008, 2009, 2003, 2200, 6355, 2021, 2200, 4766, 1012, 1996, 13176, 2056, 2023, 14532, 2001, 2066, 2543, 1999, 13137, 1010, 2855, 17162, 2039, 1998, 2074, 2004, 2855, 5255, 2993, 2041, 1012, 14532, 1010, 2004, 2009, 2003, 2182, 2109, 1010, 2003, 2025, 2146, 24188, 13295, 4963, 1010, 2009, 2003, 1996, 15347, 1997, 12178, 2029, 17748, 2015, 2046, 6355, 2616, 1998, 15616, 1010, 1998, 2074, 2004, 2855, 8289, 1012, 2045, 2024, 2195, 22481, 2008, 7487, 2000, 2149, 1996, 7729, 2057, 11276, 2000, 2031, 2646, 14532, 1024, 1045, 1012, 1000, 2292, 2035, 22364, 1998, 14532, 1010, 1998, 4963, 1010, 1998, 18856, 22591, 3126, 1010, 1998, 4763, 4092, 2022, 2404, 2185, 2013, 2017, 2007, 2035, 28238, 1000, 1006, 4958, 2232, 1018, 1024, 2861, 1007, 1012, 1016, 1012, 4441, 2056, 1010, 1000, 2008, 2296, 2028, 2040, 2003, 4854, 2007, 2010, 2567, 4618, 2022, 1999, 5473, 1997, 1996, 16646, 1000, 1006, 4717, 1012, 1019, 1024, 2570, 1007, 1012, 1017, 1012, 1000, 2005, 1996, 14532, 1997, 2158, 2147, 11031, 2025, 1996, 19556, 2791, 1997, 2643, 1012, 1000, 1006, 2508, 1015, 1024, 2322, 1007, 1012, 1018, 1012, 1000, 1998, 1010, 6300, 11397, 1010, 27895, 2025, 2115, 2336, 2000, 14532, 1012, 1000, 1006, 4958, 2232, 1012, 1020, 1024, 1018, 1007, 1012, 1000, 2116, 1037, 2711, 2003, 2092, 5204, 2008, 2002, 2038, 1037, 6355, 12178, 1025, 1998, 2116, 1037, 2711, 4447, 2008, 2002, 3685, 2393, 2009, 1010, 1998, 24273, 2500, 2000, 5138, 1998, 2000, 9641, 2010, 19239, 1997, 6896, 1012, 1012, 1012, 1012, 2009, 2089, 2092, 2022, 2008, 2107, 1037, 2711, 2003, 2196, 3929, 5204, 1997, 1996, 2126, 1999, 2029, 2002, 8710, 2500, 1998, 7137, 1037, 3663, 1999, 2029, 7881, 4150, 2200, 3697, 1012, 2138, 2002, 15347, 2015, 1998, 5293, 2015, 1996, 2477, 2008, 2500, 2323, 8053, 2022, 2583, 2000, 5293, 1996, 3255, 2002, 2038, 17303, 1012, 2292, 2107, 1037, 2711, 3342, 2008, 2107, 8834, 1997, 12178, 2024, 8254, 1010, 1998, 2008, 1996, 2126, 2000, 9462, 2068, 2003, 2083, 1996, 2373, 1997, 1996, 4382, 1999, 2010, 2540, 1000, 1006, 2008, 2003, 2004, 1996, 4382, 12011, 2083, 2010, 2773, 1012, 1011, 16962, 1007, 1011, 1996, 2137, 3115, 2544, 2109, 1996, 2773, 1000, 10233, 1010, 1000, 2096, 1999, 2060, 11913, 2057, 2424, 2107, 2616, 2004, 27865, 1010, 14337, 2791, 1010, 14337, 19509, 1010, 20014, 22934, 1998, 10685, 1012, 1059, 1012, 1041, 1012, 15351, 11859, 1996, 2773, 2004, 1000, 27865, 1010, 18974, 1999, 1996, 3670, 1997, 4372, 16383, 1010, 17083, 1012, 1015, 1024, 2756, 1012, 1000, 25563, 11859, 2009, 2004, 1000, 18974, 1010, 27865, 1010, 23277, 5654, 2989, 1012, 1000, 1996, 2773, 14796, 1037, 4382, 1997, 3167, 16290, 1998, 10685, 2029, 3314, 1999, 1037, 20762, 5605, 2030, 10233, 2029, 4520, 2283, 2030, 3167, 16290, 2682, 2326, 2000, 4828, 1012, 2703, 4654, 27794, 2098, 1996, 10900, 2025, 2000, 3328, 1000, 1999, 27865, 1998, 21103, 2075, 1000, 1006, 17083, 1012, 2410, 1024, 2410, 1007, 1012, 2002, 2001, 19725, 1997, 4192, 2000, 2522, 6657, 2705, 1000, 26693, 2011, 2151, 2965, 2045, 2323, 2022, 27865, 1010, 14225, 1010, 14532, 2015, 1010, 13815, 1010, 2067, 16313, 8613, 1010, 1000, 1006, 1016, 2522, 2099, 2260, 1024, 2322, 1007, 1012, 2000, 1996, 20765, 7066, 2002, 2626, 1024, 1000, 2292, 2498, 2022, 2589, 2083, 27865, 2030, 15784, 23296, 10253, 1025, 2021, 1999, 2659, 20942, 1997, 2568, 2292, 2169, 19593, 2500, 2488, 2084, 3209, 1000, 1006, 6316, 1012, 1016, 1024, 1017, 1007, 1012, 2002, 2626, 2000, 10805, 2000, 11582, 2216, 2040, 2024, 1000, 7098, 1010, 4209, 2498, 1010, 2021, 11089, 2075, 2055, 3980, 1998, 27865, 2015, 1997, 2616, 1010, 2073, 11253, 15699, 2232, 21103, 1010, 27865, 1010, 15747, 2015, 1010, 4763, 7505, 15630, 8613, 1000, 1006, 1045, 5199, 1012, 1020, 1024, 1018, 1007, 1012, 2508, 8847, 1997, 1996, 5909, 2008, 3310, 2013, 27865, 1010, 1000, 2021, 2065, 6300, 2031, 8618, 21103, 2075, 1998, 27865, 1999, 2115, 8072, 1010, 8294, 2025, 1010, 1998, 4682, 2025, 2114, 1996, 3606, 1012, 2023, 9866, 18855, 11031, 2025, 2013, 2682, 1010, 12570, 2003, 29520, 1010, 18753, 1010, 6548, 4509, 1012, 2005, 2073, 21103, 2075, 1998, 27865, 2003, 1010, 2045, 2003, 6724, 1998, 2296, 4763, 2147, 1000, 1006, 2508, 1017, 1024, 2403, 1011, 2385, 1007, 1012, 1996, 7968, 2158, 9168, 2056, 1010, 1000, 2009, 2003, 2019, 6225, 2005, 1037, 2158, 2000, 13236, 2013, 27865, 1024, 1000, 1006, 6011, 15185, 2015, 2520, 23724, 2758, 1010, 1000, 1996, 2773, 14796, 1037, 2110, 1997, 2477, 1999, 2029, 2273, 2024, 4055, 1010, 1999, 2029, 13552, 2015, 24299, 1010, 1998, 1999, 2029, 8499, 2003, 3908, 1012, 1000, 2002, 2582, 2163, 1010, 1000, 2009, 6719, 2965, 1005, 1037, 3061, 4237, 1005, 1010, 2008, 2003, 1010, 1037, 2110, 1999, 2029, 2035, 2451, 1010, 2035, 7881, 1010, 1998, 2035, 2362, 2791, 2024, 2908, 1012, 1000, 1059, 1012, 1041, 1012, 15351, 11859, 1996, 2773, 2004, 1000, 1037, 3061, 4237, 1006, 4487, 5403, 1010, 2004, 20824, 1010, 4237, 1010, 2358, 21369, 2015, 1010, 1037, 3061, 1025, 1996, 7117, 4487, 1011, 8131, 2407, 1010, 2003, 2179, 1999, 2116, 2616, 1999, 2536, 4155, 1007, 1012, 1000, 4441, 14283, 1010, 1000, 4445, 2005, 2122, 2069, 2079, 1045, 11839, 1010, 2021, 2005, 2068, 2036, 2008, 2903, 2006, 2033, 2083, 2037, 2773, 1025, 2008, 2027, 2089, 2035, 2022, 2028, 1025, 2130, 2004, 15223, 1010, 2269, 1010, 2396, 1999, 2033, 1010, 1998, 1045, 1999, 14992, 1010, 2008, 2027, 2036, 2089, 2022, 1999, 2149, 1024, 2008, 1996, 2088, 2089, 2903, 2008, 15223, 2106, 3367, 4604, 2033, 1012, 1000, 1006, 2198, 2459, 1024, 2322, 1007, 2703, 25803, 2005, 8499, 2426, 1996, 20373, 1010, 1000, 2085, 1045, 2022, 19763, 2818, 2017, 1010, 17937, 1010, 2083, 1996, 2171, 1997, 2256, 2935, 4441, 4828, 1010, 2008, 6300, 2035, 3713, 1996, 2168, 2518, 1010, 1998, 2008, 2045, 2022, 2053, 5908, 2426, 2017, 1025, 2021, 2008, 6300, 2022, 3819, 2098, 2362, 1999, 1996, 2168, 2568, 1998, 1999, 1996, 2168, 8689, 1000, 1006, 1045, 2522, 2099, 1015, 1024, 2184, 1007, 1012, 1996, 4151, 4382, 1010, 2083, 2703, 3936, 1037, 2933, 2005, 8499, 2008, 17937, 2025, 2022, 4055, 1010, 1000, 3228, 29454, 29206, 3401, 2000, 2562, 1996, 8499, 1997, 1996, 4382, 1999, 1996, 5416, 1997, 3521, 1012, 2045, 2003, 2028, 2303, 1010, 1998, 2028, 4382, 1010, 2130, 2004, 2036, 6300, 2020, 2170, 1999, 2028, 3246, 1997, 2115, 4214, 1025, 2028, 2935, 1010, 2028, 4752, 1010, 2028, 18336, 1010, 2028, 2643, 1998, 2269, 1997, 2035, 1010, 2040, 2003, 2058, 2035, 1010, 1998, 2083, 2035, 1010, 1998, 1999, 2035, 1012, 1000, 1006, 4958, 2232, 1018, 1024, 1017, 1011, 1020, 1007, 1012, 2407, 2515, 2025, 4148, 2004, 1037, 2765, 1997, 2108, 2419, 2011, 1996, 4382, 1010, 2009, 2003, 1037, 2147, 1997, 1996, 5771, 1012, 1000, 2122, 2024, 2027, 2040, 2191, 8745, 2015, 1010, 18753, 1010, 2383, 2025, 1996, 4382, 1012, 1000, 1006, 12582, 2539, 1007, 1012, 2703, 2056, 1010, 1000, 2085, 1045, 2022, 19763, 2818, 2017, 1010, 17937, 1010, 2928, 2068, 2008, 2024, 4786, 1996, 5908, 1998, 6642, 1997, 19730, 1010, 10043, 2000, 1996, 8998 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2601, 2935, 2175, 15265, 21159, 1996, 10311, 1064, 2580, 1013, 2141, 1064, 1064, 2077, 1996, 2189, 1997, 1996, 7110, 3126, 1064, 1064, 2086, 6383, 1064, 1064, 12800, 1055, 1012, 1037, 1012, 3156, 1011, 1055, 1012, 1037, 1012, 29386, 2487, 1064, 12800, 1056, 1012, 1037, 1012, 6694, 1011, 1056, 1012, 1037, 1012, 19123, 2683, 1064, 3908, 1064, 1064, 2423, 2233, 1010, 1056, 1012, 1037, 1012, 19123, 2683, 1064, 1064, 8391, 1064, 1064, 2000, 2140, 1011, 1999, 1011, 11721, 3126, 12326, 2232, 1006, 2000, 2140, 2909, 3258, 1007, 1064, 1064, 3311, 1064, 1064, 2536, 1024, 2156, 3311, 2930, 1012, 1064, 1064, 17571, 1064, 1064, 11703, 2666, 7178, 1996, 16980, 2046, 2005, 4726, 1996, 7635, 1997, 2373, 1025, 1064, 2580, 1996, 2028, 3614, 1025, 2716, 2055, 1996, 22252, 1997, 16371, 3549, 2953, 1025, 1998, 3053, 11438, 1996, 2878, 1997, 2690, 1011, 3011, 1012, 7842, 21017, 2001, 1996, 4602, 1998, 2087, 9480, 7947, 1997, 22822, 3995, 2705, 2077, 1998, 2076, 1996, 2034, 2287, 1012, 2044, 1996, 22252, 1997, 2010, 3040, 1010, 2002, 10843, 2358, 17597, 2000, 16152, 2690, 1011, 3011, 2802, 1996, 2117, 1998, 2353, 5535, 1012, 11703, 7416, 6455, 1996, 16980, 1997, 9413, 13910, 3258, 1010, 2040, 2104, 2010, 8606, 2018, 2580, 1996, 7635, 1997, 2373, 1010, 2002, 10082, 16158, 1996, 2028, 3614, 1999, 4057, 12677, 1012, 2947, 7842, 21017, 2150, 1000, 1996, 2935, 1997, 1996, 7635, 1000, 1012, 2004, 2028, 1997, 1996, 23478, 2099, 1010, 7842, 21017, 2001, 2580, 2011, 6335, 2226, 22879, 2906, 2077, 1996, 2189, 1997, 1996, 7110, 3126, 1012, 2012, 1996, 2927, 1997, 2051, 1010, 2002, 2001, 5921, 1996, 7110, 3126, 2040, 3133, 2046, 19413, 1012, 2182, 2002, 2150, 2028, 1997, 1996, 23478, 2099, 1997, 8740, 2571, 1010, 1998, 2001, 2124, 2004, 14736, 4948, 1012, 2174, 1010, 2002, 2001, 2574, 4372, 2015, 26148, 2094, 2011, 11463, 21815, 1998, 2150, 2010, 4602, 1998, 2087, 9480, 7947, 1012, 2947, 2002, 2234, 2000, 2022, 2124, 2175, 15265, 21159, 2011, 1996, 8254, 7662, 1997, 19337, 27549, 2094, 1998, 7842, 21017, 2011, 2500, 1012, 2044, 11463, 21815, 2081, 2010, 2307, 7841, 1997, 17076, 12733, 1999, 1996, 2167, 1011, 2225, 1997, 2690, 1011, 3011, 1010, 2002, 2805, 7842, 21017, 2000, 2022, 2049, 3474, 1012, 2043, 1996, 11748, 2906, 4110, 11463, 21815, 2012, 1996, 6859, 1997, 21183, 2819, 3630, 1010, 2027, 16201, 1998, 9022, 21183, 2819, 3630, 1998, 17076, 12733, 1025, 2027, 1010, 2174, 1010, 3478, 2000, 2424, 7842, 21017, 1012, 7842, 21017, 2001, 2468, 2085, 1037, 23324, 1997, 21794, 2373, 1010, 3040, 1997, 6281, 1998, 1997, 11588, 2015, 1010, 12487, 1999, 9866, 1010, 10311, 1999, 3997, 1010, 3335, 3270, 4691, 2054, 2002, 5028, 1010, 12814, 2054, 2002, 5451, 1010, 2935, 1997, 18306, 1025, 2010, 13738, 2001, 21741, 1012, 2007, 1996, 4895, 24925, 5582, 1997, 22822, 3995, 2705, 1998, 2010, 4745, 6215, 1997, 1996, 2048, 24403, 2015, 1997, 11748, 5740, 2099, 1010, 1996, 3103, 2034, 3123, 1998, 23815, 1999, 1996, 16936, 1997, 2273, 1012, 2975, 7842, 21017, 1999, 3094, 1997, 1996, 2162, 1010, 22822, 3995, 2705, 2187, 17076, 12733, 1999, 3595, 2000, 2424, 1996, 2117, 1011, 2141, 2785, 5596, 1997, 1996, 2336, 1997, 6335, 2226, 22879, 2906, 1998, 2000, 13593, 2068, 2000, 2010, 2097, 1012, 2044, 1996, 2991, 1997, 10346, 24141, 16294, 1010, 7842, 21017, 3390, 2019, 2886, 2006, 2000, 2140, 2909, 3258, 1012, 14395, 3571, 9287, 2588, 20298, 16200, 2705, 1998, 2216, 2040, 8047, 1996, 8842, 1012, 7842, 21017, 4632, 17440, 21750, 14841, 24292, 1998, 2357, 2009, 2046, 1037, 3422, 3578, 2005, 22822, 3995, 2705, 1012, 2045, 2378, 7842, 21017, 2938, 1998, 2000, 2140, 2909, 3258, 1996, 4189, 2150, 2000, 2140, 1011, 1999, 1011, 11721, 3126, 12326, 2232, 1010, 1996, 8842, 1997, 18306, 1012, 2588, 4994, 1997, 1996, 15616, 1997, 3347, 4430, 4313, 1998, 2010, 11946, 1010, 22822, 3995, 2705, 3641, 7842, 21017, 2000, 2424, 1998, 3102, 2068, 1012, 2175, 12190, 5714, 1010, 2028, 1997, 3347, 4430, 4313, 1005, 1055, 11946, 1010, 2001, 4110, 1998, 2716, 2077, 7842, 21017, 1012, 2045, 7842, 21017, 5763, 2008, 2002, 2052, 2002, 2052, 2489, 2175, 12190, 5714, 1998, 2010, 2564, 1041, 18622, 11877, 1999, 2709, 2005, 2592, 1012, 2104, 1996, 7404, 1997, 7842, 21017, 1005, 1055, 2159, 1010, 2175, 12190, 5714, 3936, 2673, 2002, 2354, 1998, 2947, 1996, 6318, 2173, 1997, 3347, 4430, 4313, 2001, 12056, 2000, 1996, 4099, 1012, 3525, 1010, 7842, 21017, 2018, 2175, 12190, 5714, 2404, 2000, 2331, 1012, 2022, 7389, 1010, 2365, 1997, 3347, 4430, 4313, 1010, 5763, 2000, 24896, 2010, 2269, 1005, 1055, 2331, 1012, 2002, 13289, 2079, 15265, 10698, 2239, 2004, 2019, 19104, 1998, 4719, 2307, 15616, 2008, 2020, 2657, 2521, 1998, 2898, 1012, 2947, 22822, 3995, 2705, 2275, 1037, 2152, 3976, 2006, 2010, 2132, 1998, 7842, 21017, 1010, 7991, 1037, 2307, 2390, 1997, 18306, 1998, 3062, 15109, 1010, 4912, 2005, 2022, 7389, 1012, 2101, 1010, 10346, 14127, 10768, 17802, 8630, 1010, 2022, 7389, 1010, 1998, 2037, 2702, 11946, 2187, 6583, 18581, 2705, 4948, 2094, 1999, 3945, 1997, 1996, 9033, 19145, 15928, 2015, 1012, 2750, 2108, 17330, 2004, 2030, 6169, 1010, 7842, 21017, 9686, 14756, 2094, 2068, 2004, 2027, 3133, 2046, 1996, 10380, 2090, 9413, 2098, 4954, 26378, 2078, 1998, 19982, 2099, 1011, 16371, 1011, 11865, 2378, 1012, 2002, 2018, 2068, 4110, 1998, 2027, 2020, 2716, 2000, 2032, 1012, 2045, 10346, 14127, 1998, 7842, 21017, 4061, 1999, 2774, 1997, 2373, 1025, 1996, 3997, 1997, 2119, 2001, 2307, 1010, 2021, 7842, 21017, 2001, 2062, 3928, 1012, 2002, 2059, 10040, 2068, 1997, 2037, 2030, 2278, 14249, 2021, 3478, 2000, 5860, 11795, 2040, 2027, 2020, 1012, 2002, 2018, 2068, 6908, 2046, 1037, 2601, 6770, 2073, 2028, 2011, 2028, 2027, 2020, 16475, 16777, 2011, 1037, 12797, 1012, 19319, 2075, 2023, 5469, 1010, 2027, 4188, 2000, 20895, 2028, 2178, 1012, 2043, 2035, 1997, 2037, 11946, 2020, 2757, 1010, 10346, 14127, 1998, 2022, 7389, 2020, 1996, 2197, 2040, 2815, 4142, 1999, 7842, 21017, 1005, 1055, 6770, 1012, 2043, 1037, 12797, 2253, 2000, 2886, 2022, 7389, 1010, 10346, 14127, 10768, 23115, 8630, 2109, 2035, 2010, 2373, 2000, 4154, 2009, 1012, 1999, 2023, 2002, 2001, 3144, 1012, 2174, 1010, 2002, 2001, 11321, 5303, 1998, 2574, 2979, 2185, 1012, 1999, 2008, 2601, 2617, 1010, 11320, 15222, 2368, 2234, 2000, 1996, 2958, 1997, 2000, 2140, 1011, 1999, 1011, 11721, 3126, 12326, 2232, 1998, 6369, 1012, 2013, 2010, 3578, 1997, 21750, 14841, 24292, 1010, 7842, 21017, 2387, 11320, 15222, 2368, 1998, 2354, 2008, 2009, 2001, 1996, 3297, 2684, 1997, 11463, 2937, 1998, 2518, 4747, 1012, 2002, 9059, 2000, 5425, 2014, 1998, 2192, 2014, 2058, 2000, 22822, 3995, 2705, 1012, 3568, 2002, 2741, 1037, 4702, 2000, 1996, 2958, 1010, 2021, 2009, 2001, 2855, 1998, 8601, 19668, 2011, 23064, 2078, 1012, 2002, 2741, 2116, 2062, 1998, 2169, 2028, 23064, 2078, 2730, 1012, 2633, 1010, 2002, 2741, 2852, 4887, 23296, 20023, 1010, 15785, 1997, 1996, 18306, 1997, 17076, 12733, 1012, 1996, 2954, 2090, 23064, 2078, 1998, 2852, 4887, 23296, 20023, 2001, 9205, 1012, 2776, 2852, 4887, 23296, 20023, 6783, 1998, 1010, 2077, 5996, 1010, 2002, 2409, 2010, 3040, 2008, 23064, 2078, 2001, 2045, 1012, 3568, 7842, 21017, 2165, 1996, 2433, 1997, 1037, 12797, 1010, 1996, 4602, 1996, 2088, 2018, 2412, 2464, 1010, 1998, 2253, 2875, 1996, 2958, 1012, 2002, 16900, 2000, 2886, 11320, 15222, 2368, 1010, 2021, 23064, 2078, 15627, 2588, 7842, 21017, 1998, 2045, 2027, 4061, 1012, 2021, 7842, 21017, 2071, 2025, 4942, 20041, 1996, 19598, 1997, 11748, 5740, 2099, 1012, 2002, 17544, 2000, 11320, 15222, 2368, 1010, 3228, 2014, 2491, 1997, 1996, 8842, 1999, 2709, 2005, 2010, 2713, 1012, 2002, 2059, 2165, 1996, 2433, 1997, 1037, 4393, 1998, 6783, 2000, 19982, 2099, 1011, 16371, 1011, 11865, 2378, 1010, 8110, 1996, 3224, 2007, 5469, 1012, 2044, 1996, 2162, 1997, 14532, 1010, 2007, 1996, 22252, 1997, 22822, 3995, 2705, 1998, 1996, 6215, 1997, 2084, 20255, 7716, 20026, 1010, 7842, 21017, 4233, 1037, 4189, 2433, 1998, 16360, 14088, 2010, 4763, 15616, 1999, 3571, 1997, 1996, 14532, 1997, 1996, 11748, 2906, 1012, 1041, 2239, 8545, 2059, 3641, 7842, 21017, 2000, 2709, 2000, 11748, 5740, 2099, 1999, 2344, 2000, 4374, 1996, 16646, 1997, 2158, 8545, 1012, 7842, 21017, 2001, 2025, 5627, 2000, 9015, 2107, 21171, 1998, 2061, 2002, 6783, 1998, 11041, 2370, 1999, 2690, 1011, 3011, 1012, 2044, 4688, 5023, 1998, 22170, 2005, 2055, 2028, 4595, 2086, 1010, 7842, 21017, 2404, 2006, 1037, 4189, 9425, 3351, 1999, 1996, 2117, 2287, 1012, 4214, 2370, 4698, 7559, 1010, 1996, 2935, 1997, 9604, 1010, 2002, 23386, 1996, 12280, 2232, 3044, 2015, 1997, 9413, 13910, 3258, 1010, 1998, 9517, 2098, 2068, 1999, 2840, 1998, 3894, 1012, 2025, 2035, 1996, 16980, 9480, 2032, 1010, 3391, 3203, 16122, 13626, 9257, 1998, 13097, 1011, 16122, 2094, 1010, 2152, 2332, 1997, 1996, 2053, 6392, 2953, 1010, 2021, 2261, 7791, 2000, 2068, 1012, 1996, 16980, 16158, 7635, 1997, 2373, 1010, 2021, 1999, 3595, 7842, 21017, 16158, 1996, 2028, 3614, 1999, 4057, 12677, 2000, 3627, 1996, 2060, 7635, 1010, 19920, 2087, 1997, 2010, 2219, 2373, 2046, 1996, 3614, 2004, 2002, 16158, 2009, 1012, 1999, 2023, 2051, 7842, 21017, 2150, 2124, 2004, 1996, 2601, 2935, 1997, 22822, 7983, 1012, 2002, 2992, 3347, 4215, 1011, 4241, 2099, 1010, 1996, 2601, 3578, 1010, 2379, 4057, 12677, 1025, 3833, 1996, 2304, 4796, 1997, 22822, 7983, 2000, 4652, 5274, 1025, 27279, 3157, 9801, 2273, 2007, 7635, 1997, 2373, 1998, 2357, 2068, 2046, 1996, 6583, 2480, 24848, 1006, 3614, 13088, 22465, 2015, 1007, 1010, 2010, 2708, 8858, 1025, 1998, 2992, 5294, 8749, 1997, 2030, 6169, 1010, 27980, 1010, 1998, 2273, 1010, 15897, 10957, 11227, 1998, 2148, 28212, 1012, 7842, 21017, 1005, 1055, 2373, 2584, 2049, 28672, 6352, 2086, 2044, 22822, 7983, 1005, 1055, 4325, 1010, 1999, 1996, 5550, 2301, 1997, 1996, 2117, 2287, 1012, 3202, 2044, 7842, 21017, 2580, 1996, 2028, 3614, 1010, 8292, 2571, 23736, 13344, 2099, 1998, 1996, 2060, 3614, 1011, 20905, 2015, 3651, 2010, 29461, 15395, 2854, 2253, 2000, 2162, 2007, 2032, 1012, 1996, 2162, 1997, 1996, 16980, 1998, 7842, 21017, 2001, 1037, 6703, 4736, 2029, 3908, 9413, 13910, 3258, 1998, 13879, 2172, 1997, 9413, 28665, 2953, 1012, 8292, 2571, 23736, 13344, 2099, 2001, 19668, 1998, 2010, 2303, 17727, 9453, 2094, 2006, 1037, 9997, 7700, 2094, 2012, 1996, 2132, 1997, 7842, 21017, 1005, 1055, 23269, 1012, 1996, 16980, 2020, 3724, 2067, 2471, 2000, 1996, 2630, 4020, 1010, 2096, 2037, 11229, 6956, 1006, 2040, 2018, 2036, 5837, 7842, 21017, 1007, 11672, 2369, 1996, 3681, 1997, 22993, 2050, 2073, 7842, 21017, 2071, 2025, 4632, 12502, 2068, 1012, 7842, 21017, 2001, 3040, 1997, 2471, 2035, 1997, 2690, 1011, 3011, 3458, 1996, 20266, 1010, 2021, 1996, 16371, 3549, 5686, 6962, 5838, 2000, 1996, 16980, 1005, 2655, 2005, 4681, 1998, 2741, 1037, 4335, 2486, 1012, 1996, 4117, 8749, 24356, 1998, 2020, 2583, 2000, 4154, 7842, 21017, 1005, 1055, 8749, 1999, 9413, 28665, 2953, 2044, 3082, 3554, 1010, 1998, 1996, 2601, 2935, 6783, 2067, 2000, 22822, 7983, 2007, 2210, 2062, 2084, 2010, 2219, 16174, 1012, 9690, 1010, 2096, 7842, 21017, 1005, 1055, 4745, 2373, 2196, 4251, 10349, 1996, 4578, 2009, 2018, 2076, 1996, 2162, 2007, 1996, 16980, 1010, 2116, 1997, 2010, 2087, 3928, 6716, 1005, 10759, 2015, 2018, 2042, 13879, 1012, 5816, 2000, 2010, 6716, 1010, 7842, 21017, 1005, 1055, 3400, 2001, 2941, 1999, 1037, 6428, 2597, 2084, 2009, 2109, 2000, 2022, 1012, 2010, 3400, 2506, 2000, 7818, 2000, 16083, 25075, 2273, 2000, 1996, 2521, 2148, 1998, 2264, 1012, 2802, 2023, 1010, 7842, 21017, 2815, 11633, 1999, 2010, 2214, 14588, 1010, 2311, 8436, 2000, 1996, 7425, 1997, 22822, 3995, 2705, 1010, 2073, 2529, 8688, 2001, 9051, 1012, 2138, 1997, 2023, 1010, 2875, 1996, 2203, 1997, 1996, 2117, 2287, 1010, 7842, 21017, 5071, 1996, 4486, 1997, 2935, 1997, 1996, 3011, 1998, 2332, 1997, 2273, 1012, 2023, 15807, 1996, 16371, 3549, 5686, 6962, 1010, 1996, 3928, 2273, 9287, 2013, 1996, 2240, 1997, 2022, 7389, 1998, 11320, 15222, 2368, 1010, 2040, 2973, 2006, 1996, 2479, 1997, 16371, 3549, 2953, 1999, 1996, 2712, 2090, 2690, 1011, 3011, 1998, 11748, 5740, 2099, 1012, 1996, 7098, 16371, 3549, 5686, 6962, 2234, 2000, 2690, 1011, 3011, 2007, 2307, 2486, 1997, 2608, 1010, 1998, 7842, 21017, 1005, 1055, 2749, 6783, 1012, 9301, 2002, 2071, 2025, 4154, 1996, 16371, 3549, 5686, 6962, 2007, 2510, 3997, 1010, 7842, 21017, 3039, 2370, 2000, 2022, 2579, 2004, 1037, 13446, 2000, 16371, 3549, 2953, 2011, 2332, 12098, 1011, 6887, 5400, 11597, 1012, 2045, 1010, 2002, 2855, 3473, 2013, 12481, 2000, 8619, 1998, 2001, 2124, 2004, 16985, 1011, 14736, 4948, 1025, 2002, 4991, 2116, 16371, 3549, 5686, 6962, 2000, 1996, 7425, 1997, 22822, 3995, 2705, 1010, 1998, 2992, 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, 19184, 1024, 2065, 2017, 2024, 2559, 2005, 2019, 3733, 21857, 2007, 2307, 5328, 1997, 1996, 2697, 1998, 1037, 6919, 4955, 2000, 1996, 2181, 1005, 1055, 4264, 1998, 4176, 2023, 2003, 1012, 1012, 1012, 2062, 1090, 4180, 3024, 2011, 2065, 2017, 2024, 2559, 2005, 2019, 3733, 21857, 2007, 2307, 5328, 1997, 1996, 2697, 1998, 1037, 6919, 4955, 2000, 1996, 2181, 1005, 1055, 4264, 1998, 4176, 2023, 2003, 1012, 1012, 1012, 2062, 1090, 1996, 21857, 2005, 2017, 1012, 2004, 2017, 3328, 2247, 1996, 4446, 2298, 2041, 2005, 1996, 2116, 17841, 3512, 6762, 1010, 2169, 1997, 2029, 4863, 2019, 2590, 5783, 2008, 7126, 2191, 2039, 2023, 6919, 2181, 1012, 4553, 2055, 1996, 26033, 2015, 2006, 1996, 5016, 6116, 3628, 1010, 7329, 1997, 1996, 2305, 1010, 3128, 5055, 1010, 9353, 9691, 2015, 1010, 18157, 18930, 1010, 1998, 1037, 2843, 2062, 1012, 2023, 21857, 2038, 5581, 7167, 2006, 2169, 2203, 1998, 1037, 12916, 12695, 2181, 2012, 1996, 4446, 4974, 2073, 2017, 2064, 5959, 6265, 2004, 2017, 2298, 2041, 2006, 1996, 2697, 2013, 1996, 7216, 1997, 1996, 8703, 1012, 2625, 1077, 2043, 2017, 2024, 3201, 2000, 2707, 1996, 21857, 1010, 3328, 2875, 1996, 2312, 2630, 3696, 2029, 3957, 2019, 19184, 1997, 1996, 2181, 1012, 1996, 4446, 2003, 1014, 1012, 4293, 2661, 2169, 2126, 1010, 1998, 2003, 4257, 1996, 2972, 21857, 1012, 2004, 1996, 2697, 3798, 2689, 2802, 1996, 3692, 1010, 2061, 2515, 1996, 6870, 3378, 2007, 1996, 2330, 2300, 1998, 6597, 16892, 1012, 1996, 7887, 5278, 2697, 3798, 5684, 4264, 1998, 4176, 2008, 2064, 5901, 14171, 2000, 2122, 28892, 1012, 2512, 1011, 3128, 3296, 21620, 1998, 17901, 2135, 4264, 2855, 4982, 2006, 6086, 5085, 1998, 2275, 6534, 2077, 1996, 2279, 2152, 2300, 1012, 2116, 1012, 1012, 1012, 2062, 4743, 2427, 2272, 1998, 2175, 2007, 1996, 2300, 2004, 2027, 3582, 2037, 5440, 9440, 1012, 2043, 2300, 3798, 2024, 2152, 1010, 3869, 1011, 5983, 5055, 2107, 2004, 1996, 2307, 2630, 22914, 1010, 1041, 17603, 2102, 1010, 1998, 2332, 7529, 2121, 2064, 2022, 2464, 2013, 1996, 4446, 1012, 2076, 2659, 2300, 1010, 15400, 2710, 28519, 1010, 6534, 1011, 5983, 16133, 2229, 1998, 2304, 12887, 1010, 1998, 2598, 1011, 21016, 3102, 26095, 2869, 2693, 2046, 1996, 2181, 1012, 3422, 5168, 1010, 2298, 2005, 2929, 1998, 4952, 2005, 4214, 5055, 1012, 12826, 1996, 4127, 1997, 5055, 2017, 2156, 1012, 2300, 1998, 5370, 12887, 2024, 5044, 11543, 1998, 2552, 11543, 2084, 5055, 2542, 1999, 3628, 1010, 2021, 2022, 3201, 2005, 2019, 8138, 4474, 1012, 3422, 2005, 2307, 2630, 22914, 2015, 20996, 14122, 2075, 1999, 17721, 6116, 3628, 1012, 2625, 2417, 9485, 8537, 1010, 5061, 10268, 1010, 2665, 5439, 7395, 1010, 3756, 7720, 2015, 1010, 11865, 18069, 2401, 24471, 17231, 2015, 1025, 2035, 1996, 2147, 1997, 4714, 23146, 1012, 22330, 3490, 23267, 23146, 2024, 3760, 2084, 5909, 10029, 1010, 2664, 2027, 3965, 2122, 5866, 1998, 3376, 26033, 2015, 2006, 6116, 3628, 1012, 1996, 2931, 22330, 3490, 23267, 19411, 2034, 12072, 2015, 1996, 7053, 1010, 13007, 1010, 7872, 1010, 2030, 9353, 9691, 1997, 1996, 6116, 1998, 2059, 19764, 2019, 8288, 2006, 1996, 6357, 1012, 1996, 6116, 27325, 2011, 1012, 1012, 1012, 2062, 3652, 1037, 9474, 6741, 2105, 1996, 8288, 1010, 2029, 3640, 14266, 1998, 3860, 2000, 1996, 2402, 19411, 9673, 1998, 18227, 1996, 3392, 2013, 4053, 1012, 1996, 12141, 2550, 2011, 1996, 12072, 1998, 9673, 5646, 1996, 4338, 1998, 3609, 1997, 1996, 26033, 1012, 2169, 26033, 2003, 4310, 2000, 1037, 2309, 2427, 1997, 19411, 1012, 4876, 11628, 1996, 3727, 1010, 12402, 1010, 5628, 1010, 1998, 26734, 1997, 1996, 3028, 6116, 2682, 2017, 1012, 2017, 2323, 2022, 2583, 2000, 3962, 2012, 2560, 2093, 2367, 4127, 1997, 4455, 1012, 2298, 1010, 2021, 2123, 1005, 1056, 4060, 999, 2085, 2298, 2012, 1037, 3518, 2630, 6116, 2000, 2156, 1037, 2367, 2275, 1997, 26033, 2015, 1012, 2411, 1010, 2028, 3392, 2066, 1996, 3028, 6116, 2682, 2017, 2097, 2022, 3139, 2007, 26033, 2015, 1010, 2021, 1037, 8581, 3392, 2097, 2031, 2074, 1037, 2261, 1012, 2625, 1037, 15876, 8950, 1997, 6519, 1010, 1037, 8632, 1997, 29328, 1010, 1037, 12727, 24319, 1529, 2425, 6925, 5751, 1997, 1996, 22390, 3153, 2090, 15267, 1998, 8336, 1012, 2096, 2017, 3637, 1010, 1996, 6116, 11051, 3310, 4142, 2007, 1037, 23789, 8521, 14385, 1025, 2013, 9353, 9691, 2000, 8448, 8000, 2000, 3614, 22059, 1010, 2013, 9353, 9691, 2000, 7813, 2000, 15315, 16814, 2000, 2307, 26808, 13547, 1010, 2013, 16222, 9691, 2000, 2492, 8000, 2000, 2160, 4937, 2000, 20457, 1012, 1037, 8401, 1010, 1012, 1012, 1012, 2062, 2021, 4072, 5703, 13463, 1996, 13396, 1012, 3328, 1996, 4446, 2220, 1999, 1996, 2851, 2043, 1996, 4165, 1997, 1996, 3748, 5672, 1996, 5005, 1997, 6242, 1998, 2111, 1012, 2298, 2005, 1996, 2093, 1052, 1005, 1055, 1024, 11204, 1010, 13433, 7361, 1010, 1998, 13547, 21877, 22592, 2015, 1010, 5751, 1997, 1996, 2380, 1005, 1055, 26031, 9624, 1012, 2625, 9353, 9691, 2015, 2024, 1037, 17490, 14778, 6313, 3120, 1997, 2833, 1010, 4138, 1999, 2482, 5092, 10536, 7265, 4570, 1010, 8171, 1010, 1998, 5423, 9821, 1012, 2021, 1010, 9353, 9691, 2015, 22503, 2078, 1998, 2991, 2069, 2076, 1037, 2261, 2706, 1999, 1996, 2991, 1010, 2061, 4176, 2442, 2855, 11203, 2023, 12348, 17284, 1012, 2116, 4176, 16462, 1037, 2898, 3528, 1997, 3269, 9440, 1998, 5438, 2006, 9353, 9691, 2015, 2043, 2027, 2024, 2800, 1012, 2500, 1010, 2066, 2598, 29384, 1010, 18157, 18930, 1010, 1998, 1012, 1012, 1012, 2062, 9353, 9691, 3536, 5051, 9102, 2015, 1010, 8145, 1998, 3573, 9353, 9691, 2015, 2005, 2224, 2802, 1996, 2095, 1012, 20568, 8448, 1998, 2316, 1011, 14578, 27567, 3582, 1996, 22503, 5582, 10416, 2013, 2152, 18166, 2000, 2659, 1010, 8402, 2037, 11203, 2558, 1012, 2122, 4176, 1010, 2362, 2007, 2512, 1011, 3128, 4977, 2015, 1998, 3748, 14695, 1010, 14980, 2006, 1996, 15802, 2015, 2000, 3857, 2039, 1996, 4425, 1997, 6638, 2000, 3104, 3467, 1998, 7374, 2005, 3500, 18250, 1012, 4060, 2041, 2048, 2030, 2093, 6116, 3628, 1998, 4638, 2068, 2005, 9353, 9691, 2015, 1012, 2087, 3628, 3965, 2312, 8765, 1997, 9353, 9691, 2015, 1999, 2048, 1011, 2030, 2093, 1011, 2095, 12709, 1010, 2021, 2788, 1037, 2193, 1997, 3628, 1999, 1037, 7676, 2097, 2031, 1037, 2204, 10416, 2169, 2095, 1012, 2625, 3467, 15811, 1998, 5230, 6076, 5438, 2122, 2095, 1011, 2461, 12679, 1010, 4346, 6870, 2007, 1037, 4187, 2300, 4425, 2076, 1996, 27985, 9072, 2621, 1998, 2991, 1012, 2096, 1042, 27896, 5358, 2697, 2085, 3640, 2621, 2300, 2005, 4176, 2008, 2064, 3582, 1996, 5278, 2300, 3798, 1010, 1996, 6076, 3073, 10514, 16173, 6651, 2000, 4264, 1998, 4176, 4039, 2000, 22806, 1012, 8213, 1997, 17582, 1010, 1012, 1012, 1012, 2062, 16183, 23093, 13375, 1010, 9728, 1998, 4264, 2655, 2122, 12679, 2188, 1012, 2130, 4684, 4176, 2107, 2004, 2662, 24209, 12502, 1998, 26880, 2272, 2000, 1996, 12679, 2000, 4392, 1010, 2926, 2043, 1996, 2697, 1005, 1055, 3341, 2038, 28667, 19082, 1999, 1996, 2397, 2621, 1012, 4133, 2067, 1998, 5168, 3422, 1996, 2181, 4193, 1996, 12679, 1012, 1999, 1996, 2621, 1010, 2116, 4127, 1997, 6870, 2097, 2272, 2000, 4392, 1012, 6440, 1998, 18406, 3073, 1996, 2190, 2335, 2005, 3666, 6870, 2105, 1996, 12679, 1012, 2625, 1996, 2980, 2621, 3103, 8670, 9681, 1996, 4193, 4564, 2000, 1037, 3585, 2829, 2011, 2220, 2238, 1012, 1996, 2034, 2752, 2000, 4318, 2024, 1996, 4564, 5307, 2148, 1010, 6086, 2000, 1996, 3622, 9938, 1997, 1996, 3103, 1012, 2069, 12348, 3748, 14156, 2015, 1998, 21620, 1010, 1998, 2630, 13396, 2064, 5788, 2006, 2122, 10314, 1012, 2182, 2006, 1996, 2167, 1011, 5307, 18573, 1010, 3176, 5800, 14098, 1998, 14976, 2598, 7715, 1012, 1012, 1012, 2062, 2490, 2060, 4127, 1997, 4264, 1012, 2019, 15849, 7062, 1997, 4592, 2444, 13396, 1010, 2630, 13396, 1010, 1998, 2662, 10131, 17683, 2015, 8703, 1996, 5519, 2075, 16702, 1997, 1996, 3803, 2386, 1005, 1055, 13117, 1998, 18856, 14545, 7315, 1012, 9947, 6116, 1010, 2032, 7911, 3148, 10498, 1998, 2130, 25715, 25220, 2006, 2122, 14976, 10314, 1012, 12826, 1996, 6116, 19268, 2006, 1996, 2148, 1011, 5307, 9663, 2408, 1996, 23188, 2000, 1996, 4193, 2181, 1012, 5060, 1996, 5966, 1999, 3269, 9903, 1010, 2686, 2090, 3628, 1998, 6735, 9961, 1997, 3269, 3930, 1012, 2003, 2045, 1037, 4489, 1999, 1996, 4127, 1998, 3616, 1997, 6870, 2427, 2004, 2092, 1029, 2625, 2004, 9353, 9691, 2015, 22503, 2078, 1999, 1996, 2991, 1010, 1037, 2309, 18157, 6108, 2064, 8145, 1998, 11010, 2058, 1019, 1010, 2199, 9353, 9691, 2015, 1012, 21477, 2015, 2031, 5119, 2098, 18930, 9334, 2062, 2084, 4278, 9353, 9691, 2015, 2566, 3178, 999, 2069, 2055, 2431, 1997, 1996, 3950, 9353, 9691, 2015, 2024, 5140, 1998, 8828, 2011, 1996, 6108, 1010, 2975, 1996, 2717, 2005, 2060, 4176, 2030, 2000, 11867, 22494, 2102, 2046, 2047, 3628, 1012, 1999, 2023, 2126, 1010, 1996, 18930, 3073, 2019, 2590, 2326, 1012, 1012, 1012, 2062, 3406, 1996, 13396, 1010, 20083, 1996, 9353, 9691, 2015, 2802, 1996, 11051, 1998, 14685, 1996, 9353, 9691, 2015, 2391, 1011, 2217, 2091, 2061, 2027, 2031, 1996, 2190, 3382, 1997, 11867, 22494, 3436, 1012, 2054, 1037, 2204, 2767, 2000, 6116, 2038, 1999, 1996, 6108, 1012, 4175, 2035, 1996, 6116, 3628, 7820, 2084, 2017, 1012, 2073, 2024, 2035, 1997, 1996, 2402, 3628, 1029, 2750, 1996, 4073, 1997, 1996, 18157, 18930, 1010, 2471, 2296, 9353, 9691, 1998, 6534, 2989, 8289, 2013, 14734, 1010, 4295, 1010, 2030, 3653, 20207, 1999, 2049, 2034, 2261, 2086, 1997, 2166, 1012, 2625, 2023, 2214, 2444, 6116, 2089, 2031, 7349, 8213, 1997, 9152, 5054, 2319, 6505, 1998, 18304, 1037, 2751, 18594, 2076, 2049, 2146, 2166, 1012, 2043, 4142, 1010, 2009, 3024, 2833, 1998, 3104, 2005, 1037, 3528, 1997, 4264, 1998, 4176, 1012, 2021, 2130, 1999, 2331, 1996, 6116, 3392, 4247, 2000, 2490, 1037, 3677, 1997, 6870, 1998, 4264, 1012, 24453, 2015, 1997, 2032, 7911, 3148, 10498, 1998, 2048, 2402, 2444, 13396, 4982, 2013, 2090, 1996, 1012, 1012, 1012, 2062, 9474, 5628, 1997, 1996, 6116, 1010, 2041, 1997, 3362, 1997, 11347, 2075, 8448, 1012, 16622, 1998, 9728, 3254, 16678, 1996, 3536, 1010, 4192, 20435, 2000, 1996, 5800, 2005, 1996, 2279, 4245, 1997, 13396, 1012, 12826, 1996, 2402, 2444, 13396, 3652, 1999, 1996, 24453, 1997, 10498, 16702, 2000, 2216, 8084, 2000, 5788, 2006, 1996, 2060, 2217, 1997, 1996, 4446, 1012, 20568, 8448, 5438, 2006, 1996, 8616, 2402, 3727, 1998, 27964, 1997, 1996, 13396, 1999, 1996, 3500, 1010, 2823, 15412, 2075, 1996, 2402, 6116, 1005, 1055, 3930, 2005, 5109, 2127, 1996, 3628, 4569, 3490, 2135, 11330, 2682, 1996, 4176, 1005, 3362, 1012, 2625, 2048, 3634, 2086, 3283, 1010, 2023, 3028, 3569, 2116, 9152, 5054, 2319, 2945, 1012, 11840, 1010, 8448, 1998, 2235, 2208, 1010, 1998, 1037, 20889, 1997, 22681, 1010, 8079, 1010, 1998, 25548, 3024, 1996, 9152, 5054, 2319, 2007, 1037, 9426, 1998, 4138, 8738, 1012, 2021, 2009, 2001, 1996, 9353, 9691, 1998, 13396, 2008, 3024, 1996, 2095, 1011, 2461, 3192, 1997, 2037, 8738, 1012, 1999, 2307, 2112, 1010, 1996, 17284, 1997, 2662, 1005, 1055, 6116, 6138, 3569, 2058, 1012, 1012, 1012, 2062, 14142, 2692, 1010, 2199, 2111, 2542, 1999, 2531, 3584, 8807, 2967, 2306, 1996, 2110, 1010, 1996, 4602, 4304, 1998, 8906, 1997, 4958, 10244, 2167, 1997, 3290, 3188, 2000, 2647, 3967, 1012, 2651, 2256, 3276, 2007, 1996, 6116, 2038, 2904, 1012, 2096, 2662, 2145, 6753, 1996, 4602, 2193, 1997, 8906, 1997, 2111, 1999, 2167, 2637, 1010, 2009, 2003, 2012, 1996, 3465, 1997, 2256, 6116, 6138, 1012, 3506, 2024, 5901, 6419, 1996, 6116, 6138, 2182, 1999, 3449, 21008, 3527, 1998, 2173, 2099, 5721, 1012, 2054, 2003, 1996, 3643, 1997, 6116, 19268, 2000, 2256, 2110, 1010, 2000, 2256, 2334, 4279, 1998, 2000, 2149, 2004, 3633, 1029, 2202, 1037, 2617, 2000, 5136, 2129, 2590, 2023, 6116, 11051, 1998, 2049, 6870, 2001, 2000, 1996, 3128, 4841, 2040, 2320, 2768, 2073, 2017, 2024, 1012, 2003, 2009, 2151, 2367, 2005, 2149, 2542, 2651, 1029, 4995, 1005, 1056, 2330, 2686, 1010, 13396, 1010, 1998, 6870, 2590, 2000, 2017, 1998, 2115, 2155, 1010, 2074, 2066, 2027, 2020, 2005, 1996, 9152, 5054, 2319, 2945, 1029, 2625, 1000, 11333, 2912, 1010, 9875, 1010, 9875, 1000, 1010, 1996, 8040, 11614, 2075, 2655, 1997, 1996, 9353, 9691, 3536, 5051, 9102, 17469, 1996, 6116, 19268, 2007, 2614, 1012, 2122, 15029, 5055, 7887, 2655, 2000, 2372, 1997, 2037, 3668, 2155, 1998, 2000, 11582, 2125, 6637, 16411, 1012, 6500, 2024, 2511, 2105, 12604, 5649, 3628, 2073, 1996, 3536, 5051, 9102, 2015, 3573, 2037, 2833, 1998, 3745, 9089, 6187, 5737, 7368, 1012, 26794, 2135, 2315, 1010, 9353, 9691, 1012, 1012, 1012, 2062, 3536, 5051, 9102, 2015, 8145, 9353, 9691, 2015, 1998, 3573, 2068, 1999, 3730, 1011, 17554, 3628, 1999, 2023, 2181, 1010, 1996, 18455, 7222, 2003, 2037, 5440, 12604, 5649, 2489, 1012, 1996, 3536 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10474, 2030, 9130, 1029, 2030, 2119, 1029, 1999, 2023, 2695, 3889, 14630, 1006, 3582, 2032, 2012, 1030, 3889, 27844, 15104, 1007, 15102, 1996, 3247, 1012, 1996, 9575, 1997, 2591, 14048, 2003, 2145, 1999, 2049, 22813, 1998, 2009, 3464, 2000, 2022, 2464, 3599, 2029, 2897, 2453, 2468, 1996, 5385, 1011, 9044, 23526, 1999, 1996, 2686, 1012, 2009, 2003, 14563, 1997, 1996, 11089, 9006, 17233, 1010, 2043, 1045, 2499, 1999, 1996, 3945, 3068, 1025, 9877, 1997, 6957, 1011, 6153, 3945, 9786, 19787, 2005, 13811, 1998, 3945, 2596, 2000, 2468, 1037, 19502, 1010, 2007, 3132, 12256, 20624, 9276, 4022, 1010, 2030, 2061, 2057, 2035, 2245, 2012, 1996, 2051, 1012, 2045, 2024, 2085, 2061, 2116, 2591, 6125, 1058, 14147, 2005, 5198, 2008, 2130, 1996, 2087, 7069, 1523, 10667, 6906, 3775, 1524, 2031, 4390, 4363, 2039, 2007, 1996, 2412, 1011, 9564, 5957, 1012, 1998, 2087, 2024, 2145, 8084, 2000, 2424, 4621, 12256, 20624, 9276, 9942, 1010, 9179, 4797, 2006, 2037, 2146, 2744, 7691, 1998, 7302, 2000, 5294, 17439, 2012, 2070, 2391, 1012, 1996, 6622, 1997, 2591, 14048, 4102, 2000, 3945, 1999, 1996, 2085, 1011, 14429, 11089, 9006, 3690, 1010, 20643, 1010, 1048, 2100, 13186, 1010, 4654, 17847, 1998, 2500, 7964, 2046, 27388, 1999, 1037, 7143, 3535, 2000, 2424, 3971, 2000, 2191, 2769, 1010, 2144, 6343, 2018, 2428, 2179, 4621, 3971, 2000, 12256, 20624, 4371, 3945, 1012, 2008, 2001, 1010, 2127, 3316, 2066, 2288, 2080, 1012, 4012, 1006, 2029, 2150, 25052, 1998, 2001, 2776, 4149, 2011, 20643, 1007, 1998, 8224, 8826, 1996, 4145, 1997, 3825, 3945, 1998, 6123, 8787, 1010, 3477, 1011, 2000, 1011, 11562, 6475, 4275, 1012, 1996, 2717, 2003, 2381, 1998, 2057, 2035, 2354, 2040, 2180, 1996, 2162, 1012, 2061, 2009, 3849, 2651, 2008, 5097, 2066, 10474, 1998, 9130, 1010, 2096, 15411, 2047, 5198, 2012, 2004, 24826, 15683, 6165, 2031, 2025, 3929, 4225, 2037, 2449, 4275, 1998, 1996, 5385, 1011, 9044, 23526, 2038, 2664, 2000, 12636, 1012, 2009, 2003, 2145, 2220, 1999, 1996, 2208, 1998, 1010, 2004, 2007, 3945, 1999, 1996, 3054, 17233, 1010, 1996, 9523, 4791, 1999, 1996, 2591, 14048, 2686, 2089, 2025, 2130, 2664, 4839, 1010, 2021, 1045, 2052, 7475, 2008, 10474, 1998, 9130, 2024, 8361, 2004, 4022, 27236, 2000, 16083, 1012, 1996, 5966, 2090, 1996, 2048, 6125, 2024, 6937, 1998, 1999, 2070, 3971, 1037, 3622, 7831, 2090, 1996, 2048, 2003, 2941, 3697, 2000, 2191, 1012, 10474, 2003, 3722, 1998, 5683, 2066, 8224, 2106, 1999, 2687, 1010, 2096, 9130, 4107, 1037, 9445, 1011, 2066, 8278, 5399, 14563, 1997, 20643, 1012, 3145, 3787, 1997, 9130, 1998, 10474, 9130, 9023, 2000, 2111, 2559, 2000, 28667, 18256, 6593, 2007, 2214, 2814, 1998, 2155, 2372, 2030, 2424, 2047, 2814, 3784, 1025, 1996, 16137, 6979, 2361, 1997, 2838, 2066, 10373, 1010, 7107, 24732, 1010, 3746, 1998, 2678, 6631, 1010, 4385, 1012, 5683, 5220, 1010, 2096, 10474, 2003, 1037, 2978, 6211, 2000, 2131, 2115, 2608, 2105, 2012, 2034, 1012, 2087, 2111, 2064, 2200, 2855, 10616, 2129, 2000, 2224, 9130, 2000, 7532, 2000, 2814, 1998, 2155, 1010, 2478, 2009, 2000, 3745, 4301, 1010, 4871, 1010, 4385, 1012, 2066, 24927, 2021, 2062, 23636, 2000, 6001, 2084, 13496, 1010, 9130, 2003, 1037, 2591, 14048, 9445, 1025, 10272, 13369, 2017, 2025, 2000, 2681, 2021, 2738, 2000, 6293, 2105, 1998, 10639, 2306, 1996, 2897, 1012, 10474, 2006, 1996, 2060, 2192, 1010, 16171, 2017, 6723, 15084, 1999, 24880, 1011, 2946, 24839, 1998, 2224, 2115, 14409, 2004, 8660, 2125, 2685, 2000, 2060, 3182, 2030, 2074, 2292, 2500, 2113, 2054, 2017, 1521, 2128, 2039, 2000, 2012, 2151, 2445, 2617, 1012, 2339, 2111, 2293, 9130, 9130, 9023, 2000, 2591, 4176, 1998, 2064, 2022, 2200, 26855, 2075, 2000, 2111, 2040, 2031, 2019, 16021, 10450, 3085, 18923, 2000, 2994, 4198, 2007, 2814, 1998, 2191, 2047, 29409, 1012, 1999, 2755, 1010, 2070, 2111, 3189, 2027, 6524, 2224, 10373, 2030, 10047, 5906, 4902, 1999, 2037, 3784, 2591, 4806, 4902, 1010, 18345, 2471, 4498, 2006, 9130, 2005, 10373, 1010, 11834, 1010, 3746, 1998, 2678, 6631, 1012, 9130, 26855, 2015, 9544, 1996, 2591, 9445, 2944, 6431, 2383, 2000, 8833, 2046, 6614, 1010, 20643, 11981, 1010, 20917, 4014, 1010, 2980, 21397, 1010, 17312, 2099, 1010, 7858, 1010, 24927, 1010, 4385, 1012, 2612, 1010, 9130, 3957, 2068, 1037, 2309, 4522, 2000, 2035, 2122, 5097, 1010, 2007, 2028, 8833, 2378, 1998, 8278, 2000, 6133, 2037, 3784, 2591, 8290, 3791, 1012, 2023, 4321, 7607, 1996, 11355, 3930, 9130, 4247, 2000, 3325, 1998, 2339, 1996, 2194, 7283, 11241, 1002, 3263, 2454, 1999, 2951, 2415, 18739, 2197, 2095, 2000, 2562, 2039, 2007, 5157, 999, 2339, 2111, 2293, 10474, 1996, 6179, 2791, 1997, 10474, 2003, 2025, 12192, 2004, 5793, 2000, 2070, 2111, 2004, 9130, 1025, 2348, 2009, 2089, 2022, 2062, 26855, 3512, 2320, 2017, 2131, 1996, 6865, 1997, 1056, 28394, 3436, 1025, 2017, 2131, 2062, 6234, 10960, 1998, 2009, 3849, 2000, 2444, 4873, 2090, 1996, 8484, 1997, 10373, 1010, 7107, 24732, 1998, 9927, 4726, 1012, 10474, 16171, 5377, 1523, 11383, 2041, 1524, 2000, 5973, 1998, 1010, 1999, 2008, 4847, 1010, 2003, 2062, 19639, 2000, 1037, 5760, 3945, 3194, 1025, 2178, 2126, 2000, 2424, 2111, 1998, 4180, 2035, 2058, 1996, 5658, 1012, 10474, 2038, 2855, 2328, 4435, 7073, 1998, 1037, 8884, 2206, 1010, 2926, 2426, 1996, 10892, 26398, 1025, 28205, 2015, 1010, 3784, 3006, 2545, 1010, 24036, 2015, 1010, 10468, 3087, 2007, 2242, 2000, 5326, 4025, 2000, 2424, 10474, 5186, 7070, 1012, 2043, 2356, 2339, 2027, 2293, 10474, 1010, 5198, 2360, 2066, 1523, 1045, 2064, 3198, 1037, 3160, 1998, 2131, 2019, 7107, 17191, 3433, 1524, 1012, 2027, 13675, 10696, 1996, 3754, 2000, 1523, 11112, 2046, 1996, 7268, 8298, 1524, 1997, 2500, 2006, 1996, 2897, 1010, 16361, 4784, 2125, 2500, 2007, 3183, 2027, 2052, 4728, 2031, 2053, 2965, 1997, 7176, 1012, 10474, 26855, 2015, 4366, 2009, 1521, 1055, 2066, 1996, 2214, 13405, 2300, 14976, 1010, 2073, 2111, 2064, 8587, 2000, 5607, 1996, 9478, 2006, 3649, 8476, 2003, 2006, 2037, 9273, 1012, 10474, 2003, 2066, 1037, 4806, 5460, 2017, 11529, 2046, 2005, 2019, 1999, 5737, 20255, 5844, 9880, 1012, 2367, 4807, 6782, 2005, 2367, 2591, 10906, 2292, 1521, 1055, 2360, 2017, 2175, 2000, 1037, 5030, 2030, 2060, 2591, 7215, 2073, 7167, 1997, 2111, 2113, 2169, 2060, 1012, 1996, 2806, 1998, 4309, 1997, 4807, 2045, 2097, 2022, 2062, 2066, 2478, 9130, 1025, 2017, 11834, 2007, 2214, 2814, 1998, 29409, 1010, 6809, 1998, 11861, 2989, 1999, 2019, 10305, 5450, 1012, 1999, 2023, 4292, 1010, 2111, 7166, 2000, 2514, 2062, 8363, 1998, 1523, 1999, 2037, 5783, 1524, 1012, 11450, 2024, 5220, 1998, 2415, 2006, 4207, 6322, 1998, 7264, 1012, 2085, 1010, 2043, 2017, 2175, 2000, 1037, 2312, 2283, 2030, 2591, 2724, 2073, 2017, 2123, 1521, 1056, 2113, 2087, 1997, 1996, 2111, 1999, 5270, 1010, 2017, 2097, 2224, 1037, 2200, 2367, 2806, 1997, 4807, 1010, 2062, 2066, 10474, 1025, 2017, 2215, 2000, 3113, 2111, 1998, 5064, 2191, 4426, 2124, 1010, 3233, 2041, 2013, 1996, 4306, 1010, 2191, 2019, 8605, 1010, 2969, 5326, 1998, 2191, 2047, 7264, 1012, 10474, 2003, 2066, 2893, 1996, 14502, 1998, 2025, 3071, 5683, 6625, 2030, 4282, 2129, 2000, 3233, 18579, 1999, 1996, 17763, 1012, 1999, 2755, 1010, 2471, 2035, 1997, 2149, 1010, 2043, 2034, 8455, 10474, 1010, 7166, 2000, 2224, 2009, 2000, 2695, 11809, 14409, 2066, 1523, 2183, 2000, 6265, 1524, 1010, 3241, 1997, 2009, 2004, 1037, 2178, 6994, 2000, 10639, 2007, 2814, 1010, 2043, 1999, 2755, 1010, 2009, 2003, 2062, 2066, 9085, 2006, 2000, 1037, 2754, 1010, 2073, 2017, 2024, 20888, 2007, 2019, 4378, 1998, 2855, 2424, 2008, 2017, 2342, 2000, 2424, 1037, 2376, 1998, 2360, 2242, 6179, 1998, 5875, 2030, 2855, 4558, 1996, 3086, 1997, 2115, 4378, 1012, 2111, 6523, 2000, 10474, 2004, 1037, 7163, 2030, 12702, 9927, 4726, 4132, 1012, 2061, 2029, 2591, 2897, 2003, 1996, 2190, 1029, 2096, 27838, 23067, 3215, 2097, 3202, 2391, 2000, 2593, 10474, 2030, 9130, 2004, 2108, 6020, 1010, 1996, 3606, 2003, 2008, 2169, 2038, 2049, 12637, 1998, 20502, 2015, 1998, 2097, 7166, 2000, 5574, 2062, 2000, 2367, 4127, 1997, 2111, 1998, 2005, 2367, 4436, 1012, 2169, 2064, 2031, 2307, 2030, 2210, 3643, 2000, 3087, 1025, 2009, 2428, 9041, 2006, 2054, 2017, 2024, 2667, 2000, 14570, 1999, 1037, 2445, 3663, 1012, 5136, 2070, 1997, 1996, 4013, 2015, 1998, 9530, 2015, 1997, 2169, 2897, 1024, 1011, 3733, 2000, 22149, 1998, 10651, 1010, 4957, 2000, 1998, 5326, 2505, 1011, 3362, 2521, 3458, 2115, 5110, 4418, 1997, 2814, 1011, 2028, 5438, 12679, 2035, 5198, 1025, 3087, 2064, 3582, 3087, 2842, 4983, 8534, 1011, 5760, 4807, 6994, 1010, 5915, 26651, 2791, 1011, 2017, 2123, 1521, 1056, 2031, 2000, 2022, 26618, 1999, 2000, 2131, 14409, 1025, 2017, 2064, 2074, 2224, 2019, 12667, 2015, 8068, 1011, 2200, 9123, 1010, 4654, 25808, 7028, 24732, 4132, 2007, 2330, 17928, 2015, 1011, 2116, 2060, 5097, 2108, 2764, 1006, 10474, 18513, 1010, 7680, 4328, 4371, 1010, 1056, 2860, 11961, 2140, 1010, 4385, 1012, 1007, 1011, 4022, 22434, 3793, 24732, 6599, 2013, 9949, 6125, 1006, 2348, 10474, 2163, 2027, 2024, 2025, 2747, 2893, 2151, 3013, 1007, 1011, 4022, 2925, 6475, 1998, 1013, 2030, 6960, 15002, 1011, 2241, 6599, 9199, 1011, 2007, 2049, 1523, 4857, 1524, 8964, 1010, 10474, 2003, 2763, 2062, 26743, 3468, 2084, 9130, 1010, 3228, 2009, 1037, 3465, 5056, 1011, 3132, 15380, 1025, 2424, 2111, 1010, 4604, 4766, 7696, 1010, 3622, 14054, 1011, 3132, 2000, 8574, 3494, 2566, 10651, 1011, 2025, 2035, 2111, 2424, 2009, 3202, 6179, 1011, 2058, 1011, 7902, 2006, 22399, 9294, 1011, 4089, 16999, 2005, 12403, 2213, 1998, 4852, 1996, 5005, 2504, 1011, 4659, 3760, 5361, 5310, 2918, 1011, 2004, 2664, 2053, 12192, 6835, 12256, 20624, 9276, 5656, 1011, 4646, 16137, 6979, 2361, 1025, 2424, 2111, 1010, 2191, 7264, 1010, 10373, 1010, 7107, 24732, 1010, 3746, 1013, 2678, 6631, 1010, 4385, 1012, 1011, 2087, 2111, 2064, 2855, 10616, 1996, 3643, 1997, 7176, 2007, 2814, 1010, 2155, 1998, 2511, 10402, 1025, 2070, 2111, 3189, 2027, 2224, 9130, 2612, 1997, 10373, 1998, 10047, 1011, 2062, 7902, 2006, 2784, 7264, 2007, 2500, 5443, 1012, 2040, 2038, 1996, 2087, 7264, 1011, 1523, 2995, 2814, 1524, 3444, 7457, 2115, 16987, 2000, 3479, 7264, 1025, 2471, 2066, 2383, 2797, 1998, 2270, 17879, 1011, 4121, 1010, 5901, 3652, 5361, 5310, 2918, 1011, 22490, 6293, 9961, 1010, 2353, 2283, 5097, 1010, 1523, 5592, 3228, 1524, 1998, 3167, 2951, 3074, 2191, 9130, 1037, 3928, 6475, 4132, 1011, 2062, 3697, 2000, 22149, 1998, 10651, 1011, 5942, 5211, 1997, 2051, 2000, 5382, 8760, 5770, 1011, 23569, 1999, 2944, 5942, 1037, 5310, 2000, 3499, 2500, 2000, 7532, 1011, 2625, 6234, 10960, 1025, 4983, 2017, 2994, 26618, 2006, 14678, 1011, 8964, 1997, 16137, 6979, 2361, 1998, 1523, 4317, 1524, 5097, 2071, 5787, 26743, 8553, 1010, 1038, 4135, 4017, 3465, 3252, 1996, 2925, 1997, 2591, 14048, 1999, 1996, 2203, 1010, 2119, 10474, 1998, 9130, 2024, 3432, 4807, 5906, 1025, 2119, 2097, 3613, 2000, 19852, 1998, 22822, 8458, 2004, 5198, 2424, 2047, 3971, 2000, 14817, 3643, 1998, 2593, 2897, 2089, 2030, 2089, 2468, 1037, 2146, 2744, 3453, 1999, 1996, 5901, 20607, 2591, 14048, 2686, 1012, 4821, 1010, 1996, 2755, 3464, 2000, 2022, 2464, 3251, 2593, 4646, 2038, 1037, 15282, 1010, 26743, 3468, 1998, 9084, 2449, 2944, 2030, 3251, 1996, 6164, 5656, 2003, 3432, 2000, 2022, 3734, 1012, 2004, 2057, 4342, 1999, 1996, 3945, 2686, 1010, 17439, 2097, 2776, 3653, 3567, 4014, 1012, 4983, 2027, 2064, 2424, 1037, 2126, 2000, 2735, 2035, 2216, 3239, 18510, 2046, 11372, 1010, 2591, 6125, 2097, 4558, 21923, 1012, 2009, 2515, 4025, 5793, 2008, 1996, 6957, 19640, 2015, 2024, 19244, 2027, 2097, 2025, 2069, 3613, 2000, 5959, 14388, 3930, 2021, 2097, 2036, 5147, 12256, 20624, 4371, 2035, 2008, 4026, 1012, 2021, 1010, 2097, 2593, 10474, 2030, 9130, 2468, 1996, 2279, 8224, 2030, 2097, 2027, 12985, 2046, 1996, 4373, 3193, 5259, 1997, 10660, 1998, 2591, 6622, 1029, 2054, 2079, 2017, 2228, 1029, 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 ]
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1005, 1055, 1037, 2146, 2028, 1012, 1012, 1012, 2412, 2144, 2034, 4994, 2055, 1996, 3010, 2331, 2679, 1999, 2432, 1010, 1045, 1005, 2310, 2359, 2000, 2448, 2009, 1012, 1045, 2812, 5667, 1010, 2040, 2987, 1005, 1056, 2215, 2000, 2448, 1037, 2679, 2007, 1996, 2773, 1000, 2331, 1000, 1999, 2009, 1005, 1055, 2516, 1029, 1029, 2174, 1010, 2108, 2126, 2039, 2157, 21526, 4830, 2497, 1999, 1996, 2690, 1997, 7880, 1010, 2009, 1005, 1055, 1037, 2146, 4440, 2000, 2131, 2045, 1006, 1998, 2188, 1007, 1012, 2000, 2424, 2041, 2073, 2882, 17053, 1010, 11113, 2003, 1010, 2131, 2041, 2115, 4949, 1997, 7880, 1010, 1998, 2298, 2157, 1999, 1996, 2690, 1012, 2017, 1005, 2222, 2424, 2009, 1012, 4312, 1010, 2067, 1999, 2397, 1011, 2337, 1013, 2220, 1011, 2233, 1010, 1045, 2787, 2023, 2052, 2022, 2026, 2095, 2000, 2191, 1996, 1015, 1010, 2531, 3542, 4440, 2167, 2000, 1996, 3376, 3010, 22366, 1012, 2174, 1010, 1045, 2787, 2055, 2028, 2154, 2044, 1996, 2679, 3561, 1012, 26352, 5017, 1012, 2061, 1045, 2001, 2404, 2006, 1996, 3524, 2862, 1010, 2007, 2025, 2172, 3246, 1997, 2893, 1999, 1012, 3435, 2830, 2000, 2251, 1016, 1012, 1045, 2288, 2019, 1041, 1011, 5653, 3038, 2008, 2065, 1045, 2145, 2359, 1999, 1010, 2045, 2020, 1037, 2261, 16556, 2005, 2070, 3524, 2862, 2111, 1012, 2348, 2023, 2001, 2625, 2084, 1037, 2733, 2044, 2026, 9015, 17037, 2012, 2530, 2163, 1010, 1045, 3880, 2007, 1037, 1000, 17752, 3398, 1045, 2215, 1999, 999, 1000, 1012, 2061, 1045, 1041, 1011, 5653, 2098, 2026, 18558, 1998, 2288, 2026, 2171, 2006, 1996, 3225, 2862, 1006, 2021, 2205, 2397, 2005, 1996, 2880, 2679, 2565, 1007, 1012, 2348, 1045, 2134, 1005, 1056, 4919, 3345, 2005, 1996, 2331, 2679, 1998, 2009, 1005, 1055, 2459, 1010, 2199, 1005, 1997, 8218, 1998, 15127, 1010, 1045, 2354, 2026, 2530, 2163, 2731, 1010, 2073, 1005, 1055, 28806, 2731, 1010, 1998, 15732, 6175, 2012, 2919, 5880, 2052, 2035, 2393, 2131, 2033, 3201, 2005, 1996, 2331, 2679, 1006, 2987, 1005, 1056, 1996, 2171, 2074, 2614, 4658, 1029, 1007, 1012, 2006, 9317, 1010, 2251, 16318, 1010, 1045, 2318, 2026, 2146, 4990, 2167, 1012, 1996, 3298, 2039, 2001, 4659, 3733, 1010, 2004, 1045, 3975, 2009, 2046, 1017, 2420, 1012, 1996, 2034, 2305, 1045, 4370, 2007, 2026, 3008, 1999, 21878, 1998, 5632, 1037, 3835, 2061, 4817, 1999, 2037, 2980, 14366, 1012, 2006, 2154, 1016, 1010, 1045, 5225, 2000, 7221, 4246, 2000, 2994, 2007, 2026, 2814, 8886, 1998, 6766, 1010, 2040, 2020, 1999, 1996, 2690, 1997, 9936, 2019, 8680, 1019, 1011, 2154, 2770, 6172, 1999, 1996, 9788, 4020, 2379, 2037, 2188, 1012, 1045, 2787, 2000, 3113, 1996, 2177, 2008, 2154, 2005, 2037, 2197, 1023, 2463, 1012, 1045, 2018, 5113, 2000, 2131, 1999, 1037, 2204, 1023, 2463, 1997, 2039, 7100, 2007, 2055, 1017, 1010, 2199, 1005, 7471, 2011, 2870, 1010, 2059, 3693, 1996, 2177, 2005, 2037, 2448, 2091, 1012, 2174, 1010, 1045, 2288, 2000, 1996, 4446, 4974, 2205, 2397, 1998, 2069, 2288, 2055, 1016, 2463, 2013, 1996, 2482, 2077, 1045, 2743, 2046, 2068, 1006, 2144, 2026, 2878, 6172, 2001, 1999, 2710, 1010, 12103, 2097, 3227, 2022, 3615, 2000, 1999, 7338, 1025, 2017, 1005, 2128, 2035, 7190, 1010, 2061, 2008, 5807, 1005, 1056, 2022, 2019, 3277, 1007, 1012, 2044, 3116, 2070, 5186, 4658, 2047, 3010, 2814, 1010, 9105, 2039, 2007, 2048, 12476, 2137, 2814, 1010, 1998, 22721, 1999, 8886, 1998, 6766, 1005, 1055, 2980, 14366, 2007, 1037, 3835, 6861, 2474, 4590, 1010, 1045, 2018, 1037, 2307, 2305, 1997, 3637, 1012, 2154, 1017, 1006, 2251, 17089, 1007, 2318, 2125, 2007, 1037, 2200, 2540, 26675, 3407, 5798, 4823, 2000, 2033, 2013, 11173, 1010, 12669, 4819, 1010, 1998, 6766, 1012, 2027, 1005, 2128, 2061, 4658, 1011, 4283, 4364, 1010, 2008, 2428, 3214, 1037, 2843, 999, 1996, 3298, 2008, 2154, 2001, 2183, 2000, 2022, 1010, 2004, 8886, 2409, 2033, 1010, 1996, 2087, 3376, 3298, 1999, 1996, 2088, 1012, 2016, 2001, 2157, 1012, 4439, 2083, 14791, 2120, 2380, 2003, 9788, 1012, 1996, 4020, 2020, 25506, 1998, 1996, 21193, 1998, 3256, 4249, 2020, 2074, 3432, 26106, 1012, 1045, 2481, 1005, 1056, 2903, 2129, 4121, 1996, 21193, 2020, 1012, 1045, 2001, 5580, 2000, 2202, 2026, 2051, 4439, 2083, 14791, 1998, 9107, 2009, 2035, 1012, 1045, 2633, 2288, 2000, 2882, 17053, 2006, 5958, 5027, 1010, 2777, 2039, 2007, 3507, 8589, 29310, 2278, 1998, 2263, 2331, 14878, 6609, 16074, 2721, 1998, 2010, 2564, 3972, 16610, 1006, 2041, 1997, 1996, 11816, 3948, 4372, 6494, 7666, 1010, 6609, 2001, 1996, 2069, 2028, 1045, 2354, 1011, 5791, 2242, 1045, 2347, 1005, 1056, 17730, 2000, 1007, 1010, 7039, 2046, 2256, 3309, 1010, 2059, 3856, 2039, 2026, 2679, 14771, 1012, 8130, 2039, 2026, 14771, 2001, 26316, 1012, 2048, 3057, 7039, 2033, 1999, 1010, 2028, 2055, 2026, 2287, 1010, 1996, 2060, 2397, 1011, 2753, 2015, 1012, 2027, 4384, 1045, 2001, 2011, 2870, 1010, 2356, 2065, 3087, 2018, 2272, 2007, 2033, 1010, 2059, 3202, 2150, 2200, 4986, 2005, 2033, 1012, 2027, 2356, 2065, 1045, 2018, 2448, 1996, 2331, 2679, 2077, 1010, 2065, 1045, 2354, 2054, 1045, 2001, 2725, 1010, 2065, 1045, 2018, 2151, 3325, 1999, 2023, 2785, 1997, 2679, 1010, 4385, 1012, 2027, 2130, 3253, 2033, 1996, 3382, 2000, 2022, 2006, 2070, 2780, 2008, 2020, 2145, 2559, 2005, 2619, 2197, 1011, 3371, 1012, 1045, 2074, 3281, 1998, 2056, 1045, 2052, 2022, 3100, 1012, 1996, 2298, 2006, 2037, 5344, 1010, 2295, 1010, 2001, 3432, 4438, 1012, 1045, 2071, 2425, 2027, 2020, 5667, 6015, 2005, 2033, 1012, 2044, 1037, 7199, 3637, 3238, 2305, 1010, 1045, 4089, 8271, 2039, 2012, 1020, 2005, 1996, 2397, 1022, 1037, 1012, 1049, 1012, 2707, 1012, 2027, 2707, 2101, 2061, 2062, 2111, 2031, 2000, 2448, 2012, 2305, 1012, 1045, 8823, 2026, 3671, 1052, 2497, 1004, 1046, 1010, 10749, 1037, 5835, 1997, 16371, 4609, 1010, 2404, 2006, 2026, 3404, 2100, 18318, 15118, 21295, 1010, 1998, 2939, 1996, 20595, 2091, 2000, 1996, 2707, 1012, 2045, 2347, 1005, 1056, 1037, 9374, 1997, 3147, 2791, 1999, 1996, 2250, 1010, 2061, 1045, 2700, 2000, 2175, 2422, 1998, 2074, 4287, 2048, 11015, 1998, 21500, 2015, 2005, 1996, 2034, 2048, 5433, 1012, 1006, 2144, 2009, 2003, 3262, 1037, 2274, 1011, 2711, 8846, 2679, 1010, 1996, 2331, 2679, 2003, 3714, 2039, 2046, 2274, 5433, 1025, 2539, 2463, 1010, 2676, 2463, 1010, 2539, 2463, 1010, 4229, 2463, 1010, 1998, 2484, 2463, 1012, 1007, 1996, 2034, 2930, 2001, 3492, 4248, 1010, 3733, 1010, 1998, 3255, 3238, 1012, 1045, 2743, 1996, 2034, 20595, 2030, 2061, 2007, 4670, 1010, 4851, 2032, 2129, 2010, 3611, 2001, 2725, 1012, 2057, 3427, 2004, 2116, 1997, 1996, 8846, 7190, 1998, 24339, 16887, 2125, 2091, 1996, 2346, 1012, 2348, 2057, 2020, 2119, 2034, 2051, 2331, 25791, 1010, 2057, 2354, 2488, 1012, 2044, 1019, 2463, 2006, 1996, 2346, 1010, 2057, 2718, 1996, 6900, 1998, 10785, 2012, 1020, 2463, 1010, 2057, 2718, 1996, 8494, 1012, 3071, 2001, 2667, 2037, 18263, 2000, 28814, 10975, 6651, 2105, 2009, 1012, 3071, 2021, 2033, 1012, 1045, 2253, 3442, 2083, 1996, 2034, 8494, 6770, 1998, 3202, 2179, 2870, 2091, 2006, 2026, 2217, 3139, 1999, 8494, 1012, 1045, 2134, 1005, 1056, 2729, 2055, 1996, 8494, 1010, 2021, 2106, 2729, 2055, 22736, 2870, 1010, 2061, 1045, 2001, 1037, 2978, 2062, 6176, 2044, 2008, 1012, 1045, 2743, 1037, 2204, 4664, 1997, 4190, 2028, 2007, 3520, 2013, 1996, 2167, 2227, 8846, 2136, 2175, 23233, 2015, 999, 1006, 2025, 5953, 1025, 2023, 3520, 3268, 1999, 2710, 1998, 2573, 2005, 28286, 2546, 1007, 1012, 2009, 2001, 2010, 2034, 2412, 4446, 2679, 1011, 4658, 999, 2646, 1996, 2203, 1997, 2023, 4190, 1045, 2018, 2000, 21392, 1010, 2061, 2106, 2026, 2518, 2006, 1996, 2448, 1010, 2172, 2000, 1996, 21606, 1997, 1037, 3232, 1997, 3010, 7190, 1012, 1045, 8592, 2094, 2000, 1996, 2203, 1997, 2539, 2463, 1999, 1015, 1024, 3943, 1010, 5940, 3452, 1010, 3416, 3948, 1006, 1023, 8117, 1012, 2369, 8987, 2990, 5660, 1010, 3453, 1997, 1996, 3729, 2099, 1999, 5757, 1006, 1039, 1012, 1054, 1012, 1007, 1010, 5718, 1010, 1998, 5511, 1007, 1012, 1045, 3561, 2026, 11015, 1010, 12176, 2039, 1037, 2210, 1010, 1998, 2001, 2125, 2091, 1996, 4446, 1012, 4190, 2048, 2003, 1996, 2087, 4087, 2930, 1997, 1996, 2607, 1998, 2038, 2048, 2200, 2502, 18881, 1998, 6934, 2015, 1012, 2009, 2318, 2125, 1999, 3819, 5977, 1011, 2806, 1010, 1037, 3835, 1010, 2448, 22966, 2039, 7100, 2006, 1037, 6900, 2346, 1012, 2026, 2293, 2005, 2770, 2039, 4564, 2066, 2008, 3662, 1010, 2138, 2306, 2184, 8117, 1012, 1997, 2975, 1996, 4681, 2276, 1010, 1045, 2001, 1999, 4343, 3452, 1006, 2145, 3416, 3948, 1007, 1012, 2776, 1045, 2357, 2125, 1996, 2346, 1998, 3031, 1037, 13555, 4446, 2039, 7186, 3137, 1012, 2096, 2200, 9561, 1010, 2009, 2001, 2145, 2220, 1999, 1996, 2679, 1010, 2061, 3733, 2000, 7105, 1012, 2174, 1010, 2009, 2001, 2145, 3492, 2220, 2046, 2023, 2754, 1998, 2007, 1996, 5057, 4681, 2276, 1006, 1041, 1011, 1037, 1012, 1055, 1012, 1007, 2108, 2055, 1023, 2463, 2185, 1006, 2012, 4029, 2463, 1007, 1010, 1045, 2001, 1037, 2978, 19260, 2012, 2129, 3435, 1045, 2001, 5948, 2026, 16371, 4609, 1998, 2300, 1006, 3602, 1024, 2045, 2020, 2069, 1018, 2364, 4681, 3703, 1010, 2028, 2012, 2169, 1997, 1996, 8846, 3863, 2685, 1010, 1998, 1017, 5057, 4681, 3703, 1999, 1996, 2146, 3456, 1016, 1010, 1018, 1010, 1998, 1019, 1007, 1012, 1045, 9784, 2026, 5948, 2091, 1037, 2978, 1010, 2021, 6618, 1045, 2052, 2738, 2022, 2139, 10536, 9250, 2007, 4064, 11015, 2084, 2139, 10536, 7265, 3064, 2007, 2440, 11015, 1012, 1996, 4446, 2013, 1996, 6465, 1997, 7186, 3137, 2000, 1996, 6465, 1997, 9026, 3137, 2003, 1996, 5931, 4355, 3538, 1997, 4446, 1999, 1996, 2331, 2679, 1012, 1996, 6934, 2091, 7186, 2001, 9577, 999, 2228, 5186, 9561, 1006, 1045, 3062, 2006, 2026, 10007, 1037, 2261, 2335, 1998, 4934, 2184, 1011, 2322, 2519, 1007, 1010, 7167, 1998, 7167, 1997, 7117, 2100, 1010, 22132, 6292, 1010, 7570, 10322, 3012, 9612, 1006, 2228, 7570, 10322, 4183, 2930, 2012, 9383, 3224, 1010, 2021, 1037, 2843, 2936, 1998, 1037, 2843, 6211, 1007, 1011, 2074, 2035, 2105, 2524, 1012, 2055, 1022, 2463, 2077, 1996, 1041, 1011, 1037, 1012, 1055, 1012, 1010, 1045, 4625, 1037, 3636, 1998, 3561, 2039, 2026, 11015, 1012, 13360, 23644, 2232, 1010, 2008, 1005, 1055, 27150, 1010, 2021, 1045, 8631, 2216, 2091, 3435, 1998, 2153, 2743, 2041, 1997, 2300, 1012, 1045, 4625, 2178, 3636, 1010, 3561, 2039, 2153, 1010, 2059, 1019, 2781, 2101, 2001, 2012, 1996, 1041, 1011, 1037, 1012, 1055, 1012, 6057, 3602, 2182, 1024, 2012, 1996, 1041, 1011, 1037, 1012, 1055, 1012, 1010, 2096, 1045, 3561, 2028, 5835, 2007, 5810, 2300, 1010, 1045, 2356, 1037, 6951, 2000, 2404, 2026, 4524, 6292, 1997, 2482, 5092, 21572, 2046, 2026, 2060, 5835, 1012, 2061, 2008, 1005, 1055, 2054, 2016, 2106, 1011, 2016, 6719, 2404, 1996, 4524, 6292, 2046, 1996, 5835, 1010, 2145, 14101, 7878, 2098, 1010, 1998, 3561, 2009, 2007, 2300, 1012, 1045, 16360, 13492, 6924, 2026, 5227, 1010, 2016, 2371, 10021, 1010, 1998, 1996, 2060, 7314, 2288, 1037, 4756, 2041, 1997, 2009, 1012, 1045, 2293, 11087, 2015, 999, 2059, 2009, 2001, 2039, 1010, 2039, 1010, 2039, 9026, 3137, 1010, 3262, 2006, 6900, 2346, 1010, 2021, 2069, 2055, 2431, 2448, 22966, 1012, 2893, 2039, 2347, 1005, 1056, 2205, 2524, 1010, 2021, 2153, 1010, 1996, 2091, 2001, 3565, 27136, 2378, 1005, 9561, 1998, 2200, 6857, 1012, 2066, 2183, 2091, 7186, 1010, 1045, 2245, 1045, 2001, 3048, 17111, 9541, 2080, 4030, 1010, 2021, 2036, 2066, 7186, 1010, 1045, 2134, 1005, 1056, 2131, 2979, 2006, 1996, 6934, 1011, 2061, 2009, 2347, 1005, 1056, 2074, 2033, 2108, 1037, 15536, 8737, 1012, 2009, 2428, 2003, 26261, 4402, 4402, 13699, 999, 1999, 2755, 1010, 1045, 2130, 2979, 1037, 8846, 5479, 1010, 3235, 2013, 2175, 23233, 2015, 999, 1010, 2006, 2023, 6934, 1012, 21442, 26336, 2135, 1996, 2091, 2776, 2150, 2448, 22966, 1998, 1045, 2633, 8592, 2094, 2046, 1996, 2203, 1997, 4190, 1016, 2067, 1999, 2882, 17053, 2012, 4805, 2463, 2012, 1019, 1024, 6021, 1010, 4833, 3452, 1998, 3416, 3948, 1006, 2410, 8117, 1012, 2369, 2990, 1007, 1012, 5373, 2043, 2770, 3948, 1999, 1037, 2679, 2073, 2045, 2024, 2036, 2780, 1010, 1045, 2123, 1005, 1056, 2729, 2054, 2173, 1045, 1005, 1049, 1999, 3452, 1010, 2021, 2144, 1045, 2743, 3492, 2172, 2074, 2007, 2780, 1999, 2023, 2679, 1010, 1045, 2245, 2009, 2001, 4569, 2000, 2156, 2129, 1045, 4102, 2000, 2068, 1012, 2023, 2001, 4089, 1996, 20930, 2112, 1997, 1996, 2154, 1010, 2763, 1999, 1996, 3054, 1011, 17233, 1012, 2061, 1045, 2081, 2469, 1045, 2288, 13077, 1999, 2300, 1010, 10749, 7167, 1010, 4046, 2026, 7150, 1001, 6185, 2692, 5308, 2013, 3972, 16610, 1010, 1998, 2165, 2125, 2091, 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, 1031, 5530, 6391, 5594, 1033, 2011, 7907, 12316, 5753, 7507, 2243, 11417, 19022, 12942, 1010, 21303, 5421, 2011, 7907, 22822, 3207, 3540, 2072, 2751, 2480, 27204, 20996, 12707, 6038, 2003, 2028, 1997, 1996, 2235, 4865, 1997, 19017, 2008, 2079, 2025, 2788, 3711, 2006, 1037, 2088, 4949, 2021, 2187, 2037, 9879, 8605, 2006, 1996, 3644, 4949, 1997, 19017, 1999, 1996, 8072, 1997, 16297, 1010, 13725, 1010, 1998, 2038, 28173, 6491, 1012, 2009, 2003, 2025, 1996, 2946, 1997, 2019, 2181, 2008, 7545, 2055, 2590, 6567, 2021, 1996, 3815, 1997, 3747, 2008, 1037, 2173, 4654, 8743, 2015, 1998, 1996, 5182, 12857, 2040, 2444, 2306, 2009, 1998, 3932, 2009, 2007, 2037, 3739, 1012, 2023, 12033, 2000, 20996, 12707, 6038, 1012, 2009, 3687, 2049, 4476, 2083, 1996, 2307, 2111, 2040, 2973, 1999, 2009, 1012, 2028, 1997, 1996, 2087, 5151, 1997, 2122, 2001, 1996, 4151, 17377, 2078, 1010, 7907, 2585, 27123, 20704, 10404, 3286, 1010, 1996, 2365, 1997, 2128, 2497, 1056, 4143, 3527, 2243, 6683, 7520, 16103, 1010, 1997, 10190, 3638, 1010, 1996, 2154, 2319, 1006, 2708, 3425, 1007, 1997, 20996, 12707, 6038, 1998, 1996, 3166, 1997, 14719, 3489, 19510, 28859, 2638, 1010, 2040, 2979, 2185, 1999, 20996, 12707, 6038, 2006, 2324, 2002, 4095, 6212, 4583, 10790, 1012, 2429, 2000, 4535, 1010, 2002, 2109, 2000, 2022, 4716, 2011, 1996, 8670, 2389, 1011, 2016, 2213, 1011, 2000, 2615, 1010, 1997, 10190, 3638, 1010, 1998, 2130, 2363, 2010, 13301, 1012, 2009, 2001, 1037, 14293, 1998, 2019, 3932, 2005, 1037, 7907, 2000, 2444, 1999, 1037, 2173, 2073, 2010, 16372, 2020, 2307, 2273, 1012, 2107, 2307, 2791, 2001, 1037, 5059, 5387, 1999, 15411, 25602, 2040, 4900, 2023, 2173, 2058, 1037, 3469, 2028, 1012, 20996, 12707, 6038, 2001, 1037, 2237, 2008, 23081, 2058, 2500, 2138, 1997, 2049, 2307, 25602, 1998, 2154, 7088, 2213, 1012, 1996, 2197, 1997, 2216, 2040, 15506, 2058, 1996, 3412, 2457, 2001, 2256, 3836, 1998, 7907, 1010, 20704, 10404, 3286, 2585, 11867, 28872, 2884, 1010, 1997, 10190, 3638, 1006, 2089, 2010, 2668, 2022, 24896, 2094, 2011, 1996, 2632, 2213, 1011, 5939, 1007, 1010, 2040, 2001, 7129, 2011, 1996, 14998, 2015, 1006, 2089, 2037, 3415, 2022, 23516, 1007, 1012, 7907, 20704, 10404, 3286, 2585, 11867, 28872, 2884, 2001, 1037, 3128, 1997, 1996, 2237, 1997, 20996, 12707, 6038, 1010, 2141, 1999, 5179, 19961, 1006, 6571, 1007, 1010, 1037, 18855, 4765, 1997, 1996, 17377, 2078, 1010, 7907, 20704, 10404, 3286, 2585, 27123, 1010, 1996, 3166, 1997, 1996, 14719, 3489, 19510, 28859, 2638, 1010, 2040, 19803, 2306, 2010, 6180, 1037, 2898, 3528, 1997, 6020, 11647, 1012, 2004, 1037, 2708, 3425, 1010, 2002, 2001, 2844, 1998, 9384, 2006, 2028, 2192, 1998, 28997, 1998, 7132, 2006, 1996, 2060, 1012, 1037, 2307, 2158, 1999, 16297, 1010, 2009, 8073, 4076, 2008, 2002, 8679, 2898, 4824, 1998, 26683, 1010, 1037, 2844, 3110, 1997, 12063, 2005, 2500, 1010, 2004, 2092, 2004, 1037, 8242, 21745, 2875, 2111, 1012, 2002, 2001, 9492, 2004, 1037, 7907, 1999, 2010, 3360, 2011, 1996, 4602, 25602, 1997, 1996, 2154, 1999, 19017, 1012, 2023, 2443, 1996, 17377, 2078, 1010, 1996, 9409, 3286, 1997, 7987, 4371, 13471, 2100, 1006, 2062, 2378, 2226, 7907, 21146, 21297, 22822, 3207, 24925, 5292, 3597, 10222, 8040, 18663, 19440, 1007, 1010, 1037, 3297, 13382, 2243, 1006, 7907, 20913, 3412, 3691, 1007, 1997, 2010, 2154, 1010, 1997, 10190, 3638, 1010, 1998, 1996, 17377, 2078, 1010, 7907, 19734, 2099, 10488, 2243, 1010, 1997, 10190, 3638, 1010, 2708, 2154, 2319, 1997, 16985, 2078, 29733, 2860, 1010, 2004, 2092, 2004, 2060, 25602, 1012, 1996, 6698, 1997, 2010, 2307, 2791, 2089, 2022, 13224, 2011, 1996, 2016, 10994, 1057, 1005, 24529, 6979, 22994, 1006, 24501, 26029, 3736, 1007, 2002, 10573, 2007, 1996, 2307, 25602, 1997, 1996, 2154, 1012, 2122, 2443, 7907, 2585, 13084, 5737, 7570, 10524, 8838, 1010, 1997, 10190, 3638, 1010, 2708, 7907, 1997, 9761, 2483, 14919, 5004, 1010, 2040, 2680, 2010, 3980, 2362, 2007, 2010, 3433, 1010, 8131, 2008, 2002, 2001, 20888, 2007, 2019, 2590, 7907, 1012, 1031, 1008, 1033, 2138, 1997, 2010, 2307, 2791, 1998, 1996, 11084, 1997, 2010, 6180, 1010, 2002, 2366, 2004, 20704, 7014, 11586, 1006, 2708, 3425, 1997, 1996, 7907, 20913, 2457, 1007, 1997, 20996, 12707, 6038, 2005, 2058, 4228, 2086, 1010, 2004, 2092, 2004, 2116, 3176, 2086, 2004, 3772, 2708, 3425, 1010, 2127, 7907, 22822, 3207, 24925, 5423, 5051, 8915, 12717, 2213, 1010, 1997, 10190, 3638, 1010, 2001, 3985, 3970, 2004, 2708, 3425, 1010, 2089, 2010, 2668, 2022, 24896, 2094, 1012, 1996, 2038, 28173, 6491, 1997, 2358, 8609, 6038, 2008, 2511, 2049, 5039, 1999, 20996, 12707, 6038, 2083, 1996, 4748, 5302, 2099, 1010, 2256, 3836, 1998, 7907, 1010, 7907, 24471, 2072, 1010, 1997, 10190, 3638, 1010, 1996, 2365, 1011, 1999, 1011, 2375, 1997, 1996, 4151, 4748, 5302, 2099, 1010, 7907, 20704, 6444, 10649, 2063, 1997, 2358, 8609, 6038, 1010, 1997, 10190, 3638, 1010, 2872, 2049, 11359, 2006, 1996, 2111, 1997, 1996, 2181, 1012, 2023, 3921, 1997, 17213, 1998, 17839, 2001, 2036, 1996, 2126, 1997, 1996, 2307, 7907, 11867, 28872, 2884, 1010, 1997, 10190, 3638, 1010, 2040, 2435, 2039, 2010, 2597, 1999, 5684, 1997, 10958, 2615, 8915, 12717, 2213, 1010, 2130, 2295, 2002, 2071, 4089, 2031, 2506, 2004, 3772, 7907, 1998, 8729, 1996, 9920, 1997, 3087, 2842, 1012, 2023, 2895, 1010, 10842, 2010, 7015, 6180, 1998, 28997, 2791, 1010, 17552, 2015, 2032, 2004, 1037, 2995, 8215, 1997, 1996, 1038, 1005, 11265, 2072, 6655, 21302, 1006, 1996, 4124, 1997, 6655, 21302, 14021, 27871, 2050, 1998, 20704, 9080, 14001, 1007, 2040, 2435, 2039, 2037, 8798, 1997, 1996, 2624, 9072, 6657, 2000, 2940, 2884, 5292, 20685, 2368, 1012, 7907, 6300, 6979, 2850, 26048, 18719, 2056, 2055, 2032, 1010, 2045, 2020, 2093, 2040, 2711, 7810, 28997, 2791, 1010, 2026, 2269, 1006, 7907, 11895, 8202, 3841, 11721, 19968, 9257, 1007, 1010, 1996, 4124, 1997, 6655, 21302, 1010, 1998, 5655, 1010, 1996, 2365, 1997, 21146, 5313, 1006, 8670, 3567, 24424, 2401, 15775, 2361, 1012, 1019, 1007, 1012, 1006, 2009, 2001, 2517, 2012, 1996, 2203, 1997, 12859, 3686, 2061, 2696, 1997, 1996, 6744, 24380, 2055, 7907, 6300, 6979, 2850, 26048, 18719, 1010, 2008, 2043, 2002, 2979, 2185, 2045, 2234, 2000, 2019, 2203, 28997, 2791, 1998, 1996, 3571, 1997, 8254, 1999, 1996, 2088, 1012, 1007, 2073, 2010, 2307, 2791, 3913, 1010, 2045, 2001, 2010, 28997, 2791, 1012, 2023, 3638, 1997, 7907, 20704, 10404, 3286, 2585, 11867, 28872, 2884, 2003, 16328, 1999, 1996, 8072, 1997, 2035, 1997, 1996, 2111, 1997, 20996, 12707, 6038, 2004, 2028, 2040, 5044, 1996, 2839, 1997, 1996, 2237, 1998, 1996, 2542, 4382, 2008, 5839, 2306, 2009, 2008, 2001, 2439, 2043, 1996, 2237, 2001, 2439, 1010, 8558, 5494, 1996, 6542, 1997, 2023, 8319, 2451, 1012, 2089, 2027, 2717, 1999, 3521, 1012, 1031, 6302, 18720, 1012, 5594, 14408, 3258, 2163, 2023, 3861, 2001, 2579, 2254, 1010, 4260, 1999, 1996, 20747, 1997, 7907, 11867, 28872, 2884, 1010, 1997, 10190, 3638, 1010, 2036, 4760, 2010, 3075, 1012, 2034, 5216, 1010, 3061, 2000, 1996, 2157, 1024, 15775, 17994, 2063, 1010, 18371, 2618, 1010, 24964, 12638, 1010, 9212, 2050, 1011, 19982, 4783, 1010, 9805, 2696, 1010, 6300, 26643, 6692, 1010, 7907, 20704, 10404, 3286, 2585, 11867, 28872, 2884, 1010, 29431, 24316, 2063, 1010, 2128, 19473, 5753, 2378, 15775, 3148, 1010, 1998, 8038, 20411, 2615, 20437, 7068, 2213, 1012, 7907, 11867, 28872, 2884, 2003, 3491, 3173, 8038, 13687, 4904, 11895, 8202, 2072, 1010, 1996, 2338, 2002, 7887, 3273, 1012, 1033, 1031, 5530, 6564, 2531, 1033, 2011, 2852, 1012, 7527, 24992, 29110, 1010, 2047, 2259, 5421, 2011, 3841, 14852, 2378, 11417, 3678, 20996, 12707, 6038, 2768, 2012, 1037, 16760, 2008, 2253, 2006, 1999, 2028, 3257, 2646, 3393, 29084, 1998, 9761, 2483, 14919, 5004, 1010, 1998, 1010, 1999, 1996, 2060, 3257, 1010, 2646, 16985, 3630, 18155, 1998, 2358, 2854, 3501, 1012, 2023, 19601, 1996, 2458, 1997, 3119, 1998, 3665, 1999, 2256, 14021, 22513, 2140, 1012, 2043, 2027, 2328, 1996, 3345, 2276, 1999, 20996, 12707, 6038, 1010, 2009, 2150, 1037, 6019, 2391, 2090, 16985, 3630, 18155, 1998, 2358, 2854, 3501, 1012, 3644, 2166, 1999, 20996, 12707, 6038, 5246, 2471, 2013, 1996, 5700, 2086, 1997, 3907, 2381, 1012, 5181, 2973, 1999, 20996, 12707, 6038, 2005, 2058, 3157, 3634, 2086, 1012, 1999, 1996, 2214, 20973, 1010, 2028, 2071, 2424, 9729, 11115, 2698, 2000, 3157, 3634, 2086, 2214, 1012, 20996, 12707, 6038, 2001, 2036, 3378, 1999, 3644, 2381, 2007, 1037, 2193, 1997, 2049, 4864, 2040, 2020, 8771, 1997, 1996, 21146, 19473, 8322, 2072, 27909, 2072, 2929, 1006, 6516, 2057, 2020, 2170, 2011, 1996, 8367, 1000, 21146, 19473, 5753, 6371, 17339, 2015, 1000, 1007, 1998, 3581, 5130, 1012, 2122, 2024, 2026, 2616, 1997, 4955, 2000, 1996, 5025, 6412, 1045, 2097, 3749, 1997, 3644, 20996, 12707, 6038, 3188, 2000, 1996, 6215, 1997, 1996, 2353, 3379, 1012, 1045, 2097, 2224, 2053, 3439, 3430, 1999, 2026, 13080, 1997, 2023, 8476, 1012, 2122, 2097, 2022, 3167, 5758, 1012, 3188, 2000, 2088, 2162, 1045, 1010, 2166, 1999, 20996, 12707, 6038, 1010, 2013, 1037, 3644, 3233, 8400, 1010, 2001, 3243, 5875, 1012, 1037, 21379, 2929, 2001, 4114, 2200, 2220, 2006, 1010, 1998, 2116, 1997, 2049, 4177, 2150, 2124, 1010, 2025, 2074, 2306, 2256, 14021, 22513, 2140, 2021, 2036, 2648, 2049, 6645, 1006, 21146, 21297, 11463, 6290, 1998, 4604, 2121, 9388, 24141, 2483, 2426, 2500, 1007, 1012, 2057, 2018, 2116, 2038, 28173, 2213, 1010, 2004, 2092, 1010, 2040, 2106, 2025, 12346, 2019, 3424, 1011, 21379, 2486, 2021, 2020, 3432, 7481, 1998, 11633, 8771, 1997, 1996, 2128, 19473, 1012, 1996, 2534, 1997, 1996, 21379, 2223, 2001, 1037, 7215, 2173, 2005, 3080, 1998, 3920, 21379, 2015, 11455, 1012, 2045, 1010, 2057, 2985, 2146, 2847, 1000, 14955, 18291, 6834, 1010, 1000, 2652, 7433, 1010, 1998, 8019, 1999, 1037, 3677, 1997, 2060, 3450, 1012, 1045, 2018, 1996, 5165, 1997, 6324, 1996, 2214, 7433, 2867, 1010, 20704, 6824, 1062, 20051, 14270, 1998, 8038, 20411, 2615, 3869, 1012, 2006, 1996, 5798, 1997, 1996, 15676, 1998, 2060, 2110, 11938, 1010, 1996, 7907, 2052, 8116, 2010, 25591, 1010, 2446, 1000, 13867, 1000, 2008, 2052, 2004, 24826, 4859, 1996, 11281, 1011, 5102, 2334, 4584, 1999, 5270, 1998, 6039, 2068, 2007, 4687, 2012, 1996, 7907, 1005, 1055, 2030, 8844, 7476, 8066, 1012, 2043, 1045, 2001, 2145, 1037, 2210, 2775, 1010, 2026, 5615, 2109, 2000, 2202, 2033, 2007, 2032, 2000, 1996, 7907, 1005, 1055, 2795, 1012, 1045, 2052, 4952, 5362, 2000, 2010, 12266, 2616, 2055, 16297, 1010, 2302, 4824, 1037, 2518, 2004, 1045, 3342, 1010, 1996, 7907, 2106, 2025, 2994, 2146, 1999, 2256, 2103, 2138, 20996, 12707, 6038, 2001, 2205, 3532, 2000, 2490, 2010, 2155, 1012, 2044, 2010, 6712, 1010, 1996, 2103, 2815, 2302, 1037, 7907, 2005, 1037, 2146, 2051, 1012, 5564, 1010, 1996, 2436, 2001, 4548, 2011, 1996, 2154, 2319, 1006, 3648, 1007, 1010, 2128, 2497, 10556, 3726, 8040, 26496, 1010, 1037, 2158, 4498, 1996, 4500, 1997, 1996, 7907, 1012, 6168, 1996, 7907, 2001, 9561, 2098, 1999, 3644, 1998, 2088, 2135, 3716, 1010, 1998, 2006, 2327, 1997, 2008, 1037, 8502, 2158, 2040, 6311, 1996, 3086, 1997, 3071, 2002, 2777, 1010, 2128, 2497, 10556, 8545, 2001, 2019, 17174, 26686, 2158, 1010, 2235, 1999, 21120, 1010, 2383, 2069, 1996, 2028, 1011, 11536, 3716, 1997, 3644, 3412, 6078, 1998, 4277, 1012, 2002, 2001, 1010, 2174, 1010, 16718, 1998, 11345, 3723, 2711, 7810, 1012, 2005, 2023, 3114, 1010, 2002, 2001, 2218, 1999, 2152, 19593, 1012, 1999, 2010, 2214, 2287, 1010, 1996, 2154, 2319, 2053, 2936, 2018, 1996, 3997, 2000, 4287, 2041, 2010, 5704, 1010, 1998, 1999, 5692, 1010, 2010, 2173, 2001, 2579, 2011, 7907, 19734, 2099, 21863, 3351, 2013, 2358, 15378, 29282, 2912, 1012, 7907, 21863, 3351, 2001, 2019, 2214, 1011, 13405, 16522, 1010, 2007, 2035, 1997, 1996, 16742, 21560, 1012, 2002, 2354, 2129, 2000, 2817, 1998, 2001, 19593, 2098, 2005, 2010, 11345, 3723, 1998, 16056, 1012, 2044, 1037, 2051, 1010, 1037, 1000, 2334, 2879, 1000, 2013, 20996, 12707, 6038, 2001, 4217, 2000, 3710, 2004, 2154, 2319, 1012, 2023, 2001, 1996, 1000, 2402, 2154, 2319, 1010, 1000, 2128, 2497, 20704, 6824, 1011, 2079, 17258, 11867, 28872, 2884, 1010, 3005, 2155, 2001, 2092, 2124, 1999, 20996, 12707, 6038, 1012, 2010, 2567, 1010, 11265, 6199, 11475, 1010, 2513, 2013, 2637, 1998, 6915, 19248, 2010, 2972, 2166, 2000, 2191, 1037, 2542, 1012, 2002, 2001, 2759, 1999, 1996, 14021, 22513, 2140, 2138, 1997, 1996, 6919, 8416, 2147, 2002, 2109, 2000, 2079, 2005, 1996, 11288, 1006, 2152, 2082, 1007, 1010, 7861, 12618, 18688, 2075, 14694, 2005, 1996, 4151, 15745, 1998, 11584, 16019, 2015, 2005, 1996, 16297, 23074, 1012, 3227, 1010, 2002, 2001, 2019, 6739, 1999, 3538, 6198, 1012, 1996, 2117, 2567, 1010, 18392, 3022, 1010, 2001, 1037, 12266, 1998, 8502, 2158, 1010, 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, 1064, 1064, 2023, 3720, 2003, 2517, 2066, 1037, 3167, 9185, 2030, 5448, 9491, 2008, 2163, 1996, 16948, 3559, 1005, 1055, 3327, 5346, 2055, 1037, 8476, 1010, 2738, 2084, 1996, 10740, 1997, 8519, 1012, 1006, 2255, 2262, 1007, 1064, 1064, 1064, 2023, 3720, 2950, 1037, 2862, 1997, 7604, 1010, 3141, 3752, 2030, 6327, 6971, 1010, 2021, 2049, 4216, 3961, 10599, 2138, 2009, 14087, 23881, 22921, 1012, 1006, 2255, 2262, 1007, 1064, 9975, 1010, 3617, 3004, 2003, 1037, 8893, 2396, 2433, 1010, 8550, 3997, 2013, 3004, 1521, 1055, 3754, 2000, 10956, 9647, 1998, 3443, 2529, 7264, 1010, 1998, 3617, 2974, 1521, 1055, 3754, 7949, 1996, 3362, 1997, 4807, 1998, 5107, 3989, 1012, 2174, 1010, 1996, 7655, 2003, 2036, 2109, 1999, 1037, 2062, 12391, 3168, 2011, 3316, 2107, 2004, 6473, 1998, 14274, 2000, 6523, 2000, 2037, 2440, 26173, 13996, 2974, 3688, 1012, 3617, 3004, 2003, 3952, 4453, 2011, 1996, 24873, 9048, 16173, 3401, 1997, 1523, 2444, 1524, 9567, 1998, 3617, 2865, 1999, 1996, 2168, 29505, 1006, 1015, 1007, 2686, 2007, 1037, 2522, 1011, 2556, 4378, 1012, 1999, 2804, 2000, 1996, 13185, 2008, 2049, 2836, 2442, 2022, 7453, 1523, 2444, 1524, 1998, 3617, 1010, 1996, 2724, 1521, 1055, 3905, 6459, 2024, 2008, 2049, 4180, 2323, 9279, 2070, 20123, 3004, 4395, 1006, 2083, 14879, 1996, 2504, 1997, 11835, 7730, 1007, 1998, 1037, 7984, 5783, 1997, 5287, 2653, 2030, 3793, 1012, 1996, 2176, 3785, 1997, 3617, 3004, 2024, 1024, 1011, 2009, 2003, 1037, 1523, 2444, 1524, 2836, 6885, 2012, 2560, 2070, 9567, 1999, 1996, 2168, 4207, 3558, 2686, 2007, 2019, 4378, 1012, 1006, 1016, 1007, 1011, 1996, 2836, 2442, 2224, 3617, 2974, 2004, 2019, 6827, 2112, 1997, 1996, 3078, 6018, 2724, 1012, 1006, 1017, 1007, 1011, 1996, 2836, 3397, 2069, 3132, 3798, 1997, 11835, 7730, 1010, 1006, 1018, 1007, 1999, 2008, 2049, 4180, 2003, 5044, 3952, 2011, 1996, 3063, 1006, 1055, 1007, 2005, 2019, 4378, 1012, 1006, 1019, 1007, 1011, 1996, 2836, 1521, 1055, 4180, 2323, 5383, 2593, 5287, 2653, 2030, 3793, 2029, 2453, 12346, 1037, 7984, 2030, 2466, 1010, 2367, 15370, 2009, 2013, 2060, 2824, 2029, 2024, 19517, 3153, 1010, 2396, 1010, 2030, 2189, 1012, 1524, 2444, 1010, 1524, 3617, 2865, 1010, 11835, 7730, 1010, 1998, 7984, 1037, 4766, 18856, 8486, 10803, 1997, 2122, 3408, 1999, 7189, 2000, 3617, 3004, 2003, 1999, 2344, 1012, 1996, 7784, 1997, 1996, 3408, 1523, 2444, 1524, 2030, 1523, 2444, 2791, 1524, 2004, 2027, 5258, 1999, 3004, 2064, 2025, 2022, 2058, 1011, 13155, 1010, 2004, 2009, 2003, 2275, 1999, 4559, 2000, 3617, 1999, 2344, 2000, 5769, 1996, 3739, 1997, 2119, 4127, 1997, 4807, 1010, 2529, 1998, 3274, 2580, 1012, 2738, 2084, 6195, 1996, 2613, 1011, 2051, 2030, 15850, 3012, 1997, 2824, 1010, 3617, 3004, 5936, 1996, 10266, 1997, 2111, 1006, 4378, 1998, 5889, 1007, 6631, 1996, 2168, 3558, 2686, 1006, 1999, 2012, 2560, 2028, 3295, 1010, 2065, 3674, 9501, 4839, 1007, 1012, 1999, 1996, 2553, 1997, 3742, 3743, 1010, 2009, 2003, 6827, 2008, 2023, 6631, 1997, 2270, 2686, 5158, 2012, 1996, 2609, 1997, 1996, 3078, 6018, 2724, 1012, 1006, 1020, 1007, 1996, 2279, 4072, 4650, 2005, 4526, 3617, 3004, 2003, 1996, 3739, 1997, 3617, 2865, 1999, 1996, 2836, 1012, 3617, 2865, 2003, 2025, 4225, 2083, 1996, 3739, 1997, 2028, 2828, 1997, 2974, 8051, 2030, 4007, 9563, 1010, 2021, 2011, 2049, 6459, 1997, 2108, 12379, 1010, 14163, 10880, 1010, 4089, 5967, 1010, 1998, 2583, 2000, 2022, 13995, 1999, 2613, 1011, 2051, 1012, 2009, 2003, 1996, 3754, 2000, 2689, 2025, 2069, 2614, 1998, 2422, 1010, 2021, 2036, 4871, 1010, 2678, 1010, 7284, 1010, 1998, 2060, 4180, 2046, 13330, 1010, 20063, 1010, 1998, 28667, 5644, 29139, 2951, 2029, 2003, 8846, 2098, 2030, 11860, 1999, 7189, 2000, 2060, 14982, 2015, 2029, 11859, 1996, 6827, 3267, 1997, 1996, 3617, 4289, 1012, 3617, 2592, 2038, 1996, 3737, 1997, 5760, 15078, 4022, 1010, 2029, 2064, 2022, 2464, 2004, 5903, 2000, 1996, 4022, 1997, 2529, 9647, 1012, 1996, 3588, 6459, 1997, 3132, 11835, 7730, 1998, 7984, 2030, 5287, 2773, 2024, 3905, 1998, 2625, 5664, 11709, 1012, 2096, 11835, 7730, 2064, 6611, 2000, 2119, 1996, 8290, 2090, 4286, 1998, 6681, 1998, 2090, 4286, 1010, 3617, 3004, 2003, 3952, 4986, 2007, 1996, 3798, 1997, 11835, 7730, 10066, 2090, 4378, 1998, 9567, 1006, 2004, 2009, 2003, 19601, 2083, 2974, 1007, 1012, 1006, 1021, 1007, 2009, 2003, 1999, 2023, 2828, 1997, 11835, 7730, 1010, 2714, 2000, 2060, 4127, 1997, 21106, 4378, 6577, 1010, 1006, 1022, 1007, 2008, 1996, 4395, 1997, 4471, 4604, 2121, 1998, 8393, 2064, 21969, 2000, 2008, 1997, 5020, 23705, 2869, 1010, 4786, 3004, 2000, 4487, 18719, 17585, 2046, 4512, 1012, 1996, 2744, 1523, 9123, 1524, 5218, 2000, 2151, 20271, 2030, 28309, 2135, 3161, 4807, 1010, 3251, 2009, 2022, 1037, 2529, 1011, 2529, 2030, 1037, 2529, 1011, 3698, 4807, 1012, 1996, 9181, 1997, 2383, 7984, 4180, 2083, 5287, 2653, 2030, 3793, 2004, 2112, 1997, 1996, 8900, 2724, 2003, 3214, 2025, 2000, 5787, 1996, 2846, 1997, 2054, 2003, 2525, 2641, 3115, 3004, 1006, 2004, 2045, 2024, 4973, 1999, 1996, 2573, 1997, 5212, 20599, 1999, 2029, 1996, 6537, 1997, 12064, 3670, 2024, 7718, 1007, 1010, 2021, 2000, 21032, 2090, 2008, 2029, 2003, 3617, 3004, 1998, 1996, 2747, 2062, 2764, 4249, 1997, 3617, 3153, 2683, 1998, 2396, 2974, 1012, 1006, 2184, 1007, 2023, 2003, 4072, 2138, 1997, 1996, 14163, 2696, 8553, 2090, 2396, 3596, 16911, 2974, 1012, 2009, 2003, 2036, 3214, 2000, 6592, 1037, 2898, 2846, 1997, 2573, 2164, 3153, 3004, 5994, 2974, 1998, 5287, 2616, 2107, 2004, 19817, 10448, 2912, 8086, 1521, 1055, 1996, 5072, 5030, 1997, 3017, 21701, 21638, 13765, 5753, 1006, 19817, 10448, 2912, 8086, 1010, 2456, 1007, 1010, 2000, 1996, 4325, 1997, 2434, 3793, 1011, 2241, 2573, 3784, 2011, 9567, 2066, 1996, 5810, 3793, 2867, 2030, 17437, 2107, 2004, 2396, 8370, 1521, 1055, 6970, 13068, 1024, 2534, 14194, 22045, 1010, 2000, 3653, 1011, 22892, 2573, 2107, 2004, 1996, 10002, 1006, 1037, 28171, 2305, 1521, 1055, 3959, 1010, 1996, 22553, 1007, 9813, 2007, 2974, 2012, 1996, 2118, 1997, 5111, 1998, 1996, 2118, 1997, 4108, 1012, 1996, 2112, 28775, 4502, 7062, 7484, 3004, 4073, 2012, 1996, 10541, 2820, 1997, 2974, 2202, 1037, 2367, 3921, 2011, 2031, 2444, 5889, 2224, 4367, 5425, 2000, 2491, 22128, 2015, 2006, 1037, 7484, 2754, 1012, 4378, 10960, 2024, 2881, 2046, 1996, 4007, 2008, 6753, 1996, 2836, 1012, 1999, 1996, 2432, 2537, 1010, 1000, 2054, 1005, 1055, 1996, 12610, 1029, 1000, 1006, 2459, 1007, 1010, 1037, 2309, 13045, 4367, 5425, 5080, 4758, 1996, 2836, 1997, 1037, 21708, 1997, 13734, 1012, 2101, 4616, 2224, 2048, 4367, 5425, 3001, 2284, 1999, 2367, 3121, 9756, 1996, 2836, 2006, 1037, 2309, 7484, 2754, 1006, 2324, 1007, 1012, 2122, 9181, 2030, 14879, 11709, 2024, 12379, 2438, 2000, 3499, 2005, 1037, 2898, 2846, 1997, 8900, 3450, 2096, 28596, 1996, 9531, 1997, 2824, 2000, 2216, 2029, 2087, 13014, 1996, 8893, 1523, 2444, 1524, 1013, 19872, 2433, 1997, 3004, 2649, 2004, 3617, 3004, 1012, 3617, 3004, 2003, 5459, 2013, 1996, 3469, 4696, 1997, 3617, 2836, 1006, 2004, 5228, 1999, 1996, 2058, 7875, 18426, 5897, 1997, 1037, 3528, 1997, 5167, 2164, 14111, 1010, 3153, 6759, 1010, 9233, 15303, 1010, 8957, 9590, 1998, 2060, 2824, 2179, 1999, 1996, 3617, 2836, 8756, 1007, 1012, 1999, 1996, 2220, 3865, 1010, 2678, 1010, 14549, 1010, 6904, 2595, 6681, 1010, 1998, 2060, 4806, 3941, 2211, 2000, 2022, 2109, 2004, 4725, 1997, 4526, 2396, 1998, 2836, 1012, 1996, 2967, 19251, 2229, 1998, 2198, 7980, 2020, 2426, 1996, 2220, 4177, 1999, 9186, 2054, 2001, 2641, 2396, 1010, 2974, 1010, 1998, 2836, 1012, 2007, 1996, 6789, 1997, 3167, 7588, 1999, 1996, 3865, 1010, 2047, 12020, 2005, 4526, 2836, 4806, 2001, 2141, 1012, 3324, 2066, 2016, 22155, 10958, 21891, 15362, 1998, 8934, 22372, 2211, 2000, 6653, 2013, 3041, 1010, 2062, 17047, 7885, 2007, 5871, 6726, 2000, 7885, 2007, 1996, 4975, 4274, 1012, 3784, 4279, 2107, 2004, 1996, 2092, 1998, 9123, 3015, 3253, 2047, 4275, 2005, 6018, 14842, 1012, 2007, 1996, 1520, 11089, 4012, 1521, 8797, 1997, 1996, 4134, 1010, 10093, 14545, 4588, 3324, 2164, 6060, 29036, 2102, 2211, 2000, 4503, 3618, 7784, 2004, 3004, 2967, 2066, 2577, 5435, 2229, 2836, 2573, 1998, 18734, 14233, 21099, 3004, 2511, 13797, 2007, 4007, 1998, 8051, 3316, 6628, 2011, 1996, 2974, 8797, 1012, 1999, 2660, 1999, 1996, 2220, 4134, 7628, 3235, 1005, 1055, 7484, 4507, 3004, 3591, 2573, 2012, 1996, 3994, 3850, 2160, 1010, 3794, 1996, 2034, 8893, 2529, 3617, 22128, 2015, 1010, 1999, 2727, 1000, 1037, 28171, 6385, 3959, 2956, 19335, 4507, 2754, 4520, 2881, 1998, 2550, 2011, 2014, 2194, 1012, 6950, 2107, 2004, 19569, 9231, 2319, 5369, 2480, 2012, 10210, 1010, 2585, 5474, 2480, 1997, 1996, 9123, 2836, 5911, 2012, 1996, 2118, 1997, 4108, 1010, 1998, 2928, 2128, 7231, 2100, 2132, 1997, 1996, 7484, 4507, 3004, 6845, 2012, 1996, 2118, 1997, 5111, 1010, 2004, 2092, 2004, 3278, 3153, 2974, 13797, 1006, 2164, 2314, 8270, 1998, 2314, 8270, 1521, 1055, 2147, 2007, 21442, 3401, 13652, 1007, 2419, 2000, 2019, 15741, 4935, 1999, 1996, 2224, 1997, 3617, 2974, 1999, 4526, 2865, 1011, 4138, 4616, 1006, 2164, 1996, 2224, 1997, 4367, 5425, 1010, 7605, 12991, 24895, 7284, 1010, 1998, 7484, 4507, 2004, 1999, 1996, 7484, 8900, 3012, 6845, 1520, 1055, 2537, 1997, 1996, 15315, 15564, 2121, 2012, 2888, 4811, 2451, 2267, 2104, 1996, 3257, 1997, 2852, 1012, 2577, 3769, 12303, 1012, 2178, 2742, 2003, 1996, 3168, 1024, 2625, 2622, 2011, 26261, 3619, 8751, 1013, 22822, 2243, 1013, 28194, 2480, 1013, 7279, 21190, 2478, 7484, 5889, 2008, 5198, 2052, 8526, 2007, 2503, 1037, 27830, 4044, 1012, 1996, 2622, 2001, 3491, 2012, 11322, 2527, 1010, 21863, 2666, 2006, 16917, 2396, 2415, 1010, 5120, 1010, 12419, 2727, 1999, 15632, 1998, 1996, 3587, 9960, 20313, 1006, 2722, 1007, 1012, 2220, 2224, 1997, 6228, 1998, 13996, 5733, 2005, 8900, 4024, 2015, 2031, 1037, 2146, 2381, 16907, 2067, 2000, 6228, 2015, 1997, 3418, 5483, 1998, 5781, 3894, 26078, 1012, 2021, 1996, 2087, 3278, 14988, 2015, 1997, 3617, 3004, 2064, 2022, 2464, 1999, 1996, 2573, 1997, 1996, 2220, 3983, 2301, 1012, 2009, 2003, 1999, 1996, 4784, 1997, 3324, 2164, 3487, 5146, 7010, 1010, 22209, 14255, 15782, 4263, 1006, 1998, 2000, 1037, 3132, 3014, 14324, 27914, 7987, 15937, 2102, 1999, 2037, 4101, 2147, 2006, 8680, 3004, 1007, 1010, 12947, 17917, 16429, 13390, 1010, 1998, 1996, 8670, 27225, 20559, 1998, 11865, 20689, 5130, 5750, 2008, 2057, 2064, 2156, 1996, 10473, 7264, 2090, 2651, 1521, 1055, 2224, 1997, 3617, 2865, 1998, 2444, 5889, 1010, 1998, 3041, 1010, 6388, 8900, 2224, 1997, 2512, 1011, 2529, 5889, 1010, 3743, 2974, 1010, 1998, 2143, 2594, 21796, 1012, 1996, 3739, 1997, 2122, 8900, 4013, 6914, 27287, 2478, 11698, 2865, 1010, 2107, 2004, 2143, 2594, 13996, 1010, 3640, 1037, 2958, 2090, 3004, 1998, 2116, 1997, 2651, 1521, 1055, 6565, 9140, 1997, 3274, 1011, 2396, 1011, 2836, 1011, 4807, 7885, 1012, 2122, 2627, 4973, 1997, 3004, 3324, 22380, 2037, 2715, 2974, 2007, 3004, 12919, 2015, 1996, 6685, 2008, 8900, 4024, 2515, 2025, 2031, 2000, 2022, 2593, 16405, 15061, 5994, 2069, 1523, 2444, 1524, 5889, 2006, 2754, 1010, 2030, 2022, 10202, 2011, 1996, 7444, 10093, 6777, 2483, 8787, 3742, 2865, 1010, 2021, 2064, 5114, 2013, 1996, 20828, 1997, 2119, 4127, 1997, 4807, 1012, 3617, 3004, 2515, 2025, 4839, 1999, 1037, 11641, 2021, 1999, 7189, 2000, 2060, 18444, 1012, 2009, 2003, 1037, 2828, 1997, 3617, 2836, 1998, 2089, 8752, 2116, 4127, 1997, 1523, 2444, 1524, 1013, 19872, 3004, 2164, 1523, 27830, 3004, 1524, 1006, 2340, 1007, 1998, 1523, 3274, 3004, 1010, 1524, 1006, 2260, 1007, 2119, 1997, 2029, 9125, 3563, 4127, 1997, 3274, 2865, 1010, 1523, 2444, 1524, 9567, 1010, 2466, 1013, 2616, 1010, 1998, 3132, 3798, 1997, 11835, 7730, 1012, 2174, 1010, 3408, 2107, 2004, 1523, 15363, 3004, 1010, 1524, 1006, 2410, 1007, 2478, 6579, 3274, 22128, 2015, 1999, 3784, 11834, 1011, 4734, 2302, 2522, 1011, 2556, 9501, 4212, 2648, 3617, 3004, 2046, 1996, 3469, 4696, 1997, 3617, 2836, 1012, 10655, 1010, 3617, 3153, 2089, 2991, 2648, 1996, 11709, 1997, 3617, 3004, 1010, 2065, 2009, 2515, 2025, 5383, 3787, 1997, 2466, 2030, 5287, 2616, 1012, 1000, 16941, 14192, 6651, 1000, 2064, 2022, 2443, 2306, 2023, 6210, 1997, 3617, 3004, 1010, 2073, 2009, 2950, 1037, 4013, 9048, 9067, 4378, 1024, 1000, 16941, 14192, 6651, 2064, 2022, 2580, 1998, 3591, 4498, 3784, 1010, 2005, 1037, 5500, 3784, 4378, 2040, 5589, 3081, 4274, 1011, 4198, 7588, 5973, 1999, 1996, 2088, 1010, 2030, 2009, 2064, 2022, 3591, 2000, 1037, 4013, 9048, 9067, 4378, 1006, 2107, 2004, 1999, 1037, 3558, 3004, 2030, 3916, 6891, 1007, 2007, 2070, 2030, 2035 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2026, 2330, 4144, 7058, 11729, 28605, 14736, 23102, 2078, 3728, 22333, 2033, 2000, 1037, 22953, 2226, 1011, 5292, 1011, 5292, 16018, 1999, 1996, 3010, 5507, 1011, 3496, 1010, 13977, 2011, 1037, 2092, 1011, 2517, 1998, 2379, 1011, 16775, 2135, 3308, 1011, 3753, 3720, 2006, 1996, 19296, 4014, 1006, 3010, 2308, 1999, 1996, 4706, 2840, 1007, 4037, 2170, 1523, 1996, 9615, 1997, 4997, 15252, 1012, 1524, 1996, 3538, 2003, 2011, 5553, 1062, 7184, 2100, 1010, 1998, 1999, 2009, 1010, 2016, 4472, 1037, 2878, 11721, 28120, 1997, 2825, 9918, 2005, 1998, 2114, 1996, 3015, 1997, 4997, 4391, 1012, 1045, 2131, 1996, 8605, 2016, 1521, 1055, 3331, 3262, 2055, 1996, 2088, 1997, 4623, 1006, 1998, 1999, 2008, 6123, 1010, 1045, 1521, 2310, 2657, 1996, 2553, 2114, 3015, 4997, 4391, 2077, 1010, 2013, 2116, 7728, 1007, 1010, 2021, 1045, 2228, 28605, 2001, 15560, 2138, 2087, 1997, 1996, 13818, 1062, 7184, 2100, 1999, 6767, 9681, 6611, 8053, 2092, 2043, 2256, 3166, 7545, 2039, 4349, 2808, 1012, 1045, 2870, 2031, 5121, 9411, 2007, 1006, 1998, 3613, 2000, 3066, 2007, 1007, 10195, 2040, 25276, 2000, 1037, 9384, 1523, 2053, 4997, 4391, 1524, 3343, 1010, 1998, 2043, 1045, 2001, 2145, 13219, 2438, 2000, 3160, 2068, 2006, 1996, 2391, 1010, 2027, 2467, 2056, 1996, 2168, 2518, 1062, 7184, 2100, 2515, 1024, 2008, 2009, 1521, 1055, 2521, 2062, 4621, 2000, 3432, 5466, 1037, 1523, 2331, 2135, 4187, 4223, 1524, 2058, 2919, 2808, 1998, 2612, 5247, 2256, 4187, 2051, 1998, 2943, 15838, 2204, 3924, 1012, 28605, 2741, 2033, 1996, 6971, 1010, 5642, 2011, 2070, 3239, 1011, 5291, 2055, 1996, 6034, 1010, 2471, 22822, 17062, 13205, 2791, 1997, 16485, 1006, 1037, 3737, 2005, 2029, 2057, 1521, 2310, 2035, 2018, 3426, 2000, 2022, 8794, 1010, 2012, 2028, 2391, 2030, 2178, 999, 1007, 1010, 1998, 2059, 2057, 2253, 2067, 2000, 2256, 2062, 16120, 10373, 7832, 1010, 2066, 5790, 1996, 2047, 10416, 1997, 2879, 1011, 4996, 1006, 12696, 10085, 8523, 2102, 2008, 2016, 2064, 2022, 1010, 2016, 19233, 1996, 2359, 1025, 1045, 3961, 1037, 2028, 3257, 3280, 1011, 2524, 1007, 1012, 2021, 1045, 2347, 1521, 1056, 16036, 2000, 2131, 2185, 2013, 1996, 1520, 4997, 15252, 1521, 3395, 1024, 2009, 10416, 5669, 2039, 2023, 2733, 1999, 1996, 10647, 2811, 1010, 1999, 2053, 2625, 1037, 2598, 1011, 5717, 4772, 2084, 2026, 11419, 1056, 4877, 1012, 1999, 1046, 1012, 1039, 1012, 1521, 1055, 1523, 1050, 2497, 1524, 5930, 1010, 2028, 1997, 2026, 5440, 3824, 9974, 2015, 1010, 14377, 14880, 6299, 1010, 2003, 2579, 2000, 4708, 2005, 1037, 7615, 2016, 2081, 3728, 1999, 1996, 6697, 1024, 1523, 2137, 4981, 2085, 3477, 2061, 10439, 8095, 15787, 2008, 2070, 15814, 2053, 2936, 2514, 2009, 2022, 6806, 6961, 2068, 2000, 2941, 3191, 1996, 2338, 1012, 1524, 3752, 1996, 2717, 1997, 2014, 3720, 1010, 29175, 7038, 2185, 1024, 1523, 2005, 2151, 5515, 6232, 5327, 2000, 2735, 2658, 1010, 5796, 1012, 14880, 6299, 1521, 1055, 2806, 7534, 1037, 2553, 8654, 1997, 2054, 2025, 2000, 2079, 1024, 2994, 2006, 1996, 3647, 2217, 1997, 13727, 2791, 1025, 2292, 28425, 2098, 19240, 2015, 2061, 4817, 2039, 1996, 7722, 2734, 2005, 2434, 3241, 1012, 1524, 1999, 26935, 1006, 1998, 3251, 2016, 2018, 1037, 13971, 3015, 2154, 2030, 2025, 1007, 1010, 14880, 6299, 2038, 1037, 2391, 1516, 2025, 2055, 2129, 9996, 2137, 6399, 3477, 2005, 4391, 1006, 2216, 2008, 3477, 2012, 2035, 2024, 2411, 7199, 12382, 1010, 2004, 1045, 1521, 2310, 2018, 6686, 2000, 27481, 2062, 2084, 2320, 2023, 2733, 1007, 1010, 2021, 2055, 2129, 6118, 2070, 15814, 2064, 2507, 1996, 8605, 2027, 4033, 1521, 1056, 3191, 1996, 2338, 2104, 2037, 9584, 1012, 2065, 2008, 8605, 2038, 15560, 2033, 2004, 1037, 8068, 1010, 1045, 2064, 2074, 5674, 2129, 2172, 2009, 2442, 20868, 17728, 2618, 1996, 5025, 3166, 1997, 2107, 1037, 2338, 1012, 29175, 10590, 2015, 2008, 14880, 6299, 2987, 1521, 1056, 3073, 5509, 3563, 2015, 1010, 2021, 2129, 2071, 2016, 1010, 9962, 8645, 1011, 4950, 8333, 1999, 2070, 6232, 1521, 1055, 2817, 1029, 2016, 1521, 1055, 3015, 2055, 2019, 8605, 1010, 2044, 2035, 1012, 29175, 2059, 2855, 14255, 22994, 2015, 2000, 1996, 9920, 4613, 2445, 2011, 7920, 5951, 2005, 1996, 2262, 5074, 21146, 4779, 12722, 3396, 1999, 4706, 6256, 1024, 1523, 2065, 2057, 3713, 2069, 2000, 8489, 1010, 2059, 8489, 2993, 4150, 10036, 6675, 1010, 1998, 4821, 25120, 1012, 1524, 2023, 2003, 2200, 2172, 2995, 1010, 1998, 2070, 1997, 1996, 5221, 3415, 1999, 3824, 2338, 15252, 2031, 6360, 2468, 3599, 2008, 25120, 1012, 28605, 2001, 2157, 2000, 4897, 2014, 2159, 1025, 5951, 2001, 2157, 2000, 2655, 3086, 2000, 1996, 2391, 1025, 1998, 5553, 1062, 7184, 2100, 1010, 19994, 2014, 2785, 1010, 2785, 2540, 1010, 2001, 3308, 1010, 3308, 1010, 3308, 1012, 26964, 2919, 2808, 2007, 1523, 2331, 2135, 4187, 4223, 1524, 2003, 2025, 2069, 1044, 22571, 10085, 14778, 7476, 1999, 1996, 6034, 1006, 1523, 4223, 3957, 9619, 1524, 2038, 2042, 1037, 8031, 3423, 1998, 2591, 3899, 2863, 2005, 2702, 4595, 2086, 1010, 1998, 2157, 2135, 2061, 1007, 2021, 2512, 5054, 19570, 2389, 1012, 2009, 1521, 1055, 2066, 15838, 1996, 4458, 4419, 2021, 2478, 1523, 9252, 4187, 4223, 1524, 2006, 1996, 3924, 2040, 2031, 1996, 2919, 14632, 2000, 11454, 2503, 1996, 7975, 21859, 1012, 1996, 28684, 2571, 12748, 1037, 4611, 1010, 1998, 2008, 2773, 3310, 2039, 1999, 1062, 7184, 2100, 1521, 1055, 9491, 1010, 2069, 2000, 2022, 7219, 2007, 2070, 1997, 1996, 2087, 4299, 2100, 1011, 9378, 2100, 12388, 1045, 1521, 2310, 3191, 2144, 6350, 1012, 2023, 2003, 1010, 5262, 1010, 13205, 2791, 2448, 2572, 6559, 1024, 2572, 1045, 9104, 2057, 1521, 2128, 4011, 2000, 4682, 2055, 2068, 1031, 2919, 2808, 1010, 2008, 2003, 1033, 1029, 4487, 6499, 7962, 2256, 2641, 16646, 2015, 1029, 5262, 2025, 1012, 1045, 2572, 9104, 3432, 2008, 1010, 1999, 2270, 1010, 2057, 2562, 2256, 15076, 3844, 1012, 1523, 2021, 3475, 1521, 1056, 2008, 1044, 22571, 10085, 14778, 7476, 1029, 1524, 1996, 6232, 2097, 3198, 1012, 1523, 3475, 1521, 1056, 2009, 9841, 21821, 2102, 1029, 1524, 1517, 2009, 1521, 1055, 9841, 21821, 2102, 2069, 2065, 2028, 2038, 2042, 2356, 1037, 3622, 3160, 1998, 4282, 4223, 2003, 3497, 2000, 2022, 2579, 2005, 8489, 1012, 2021, 1010, 1997, 2607, 1010, 4445, 1997, 2122, 3785, 2788, 6855, 2015, 1012, 2023, 2003, 12909, 5666, 1010, 1997, 2607, 1012, 2009, 2453, 6611, 2000, 2019, 10812, 7215, 1997, 2115, 2564, 1521, 1055, 2814, 2005, 1037, 18901, 2283, 1010, 2021, 2009, 2064, 1521, 1056, 4298, 6611, 12145, 1012, 22797, 2011, 2037, 2200, 3267, 4287, 2105, 2007, 2068, 1037, 2235, 2275, 1997, 7887, 1011, 13339, 3622, 3980, 1012, 2216, 3980, 2342, 2025, 2022, 2356, 13848, 1999, 2344, 2000, 2022, 2613, 1012, 2005, 1996, 2658, 2338, 1011, 6232, 1010, 1996, 5189, 4355, 1997, 2216, 13339, 3980, 2003, 1024, 1523, 2003, 2023, 2338, 2151, 2204, 1029, 1524, 1999, 2270, 1010, 2057, 2562, 2256, 15076, 3844, 1029, 2008, 1521, 1055, 3599, 1996, 2785, 1997, 11113, 3217, 12540, 1997, 5368, 2008, 4473, 3015, 10922, 2066, 2216, 1997, 5650, 20923, 1998, 2198, 2039, 4305, 3489, 24299, 2104, 1996, 7424, 1010, 2066, 9252, 6385, 16102, 2063, 1012, 1062, 7184, 2100, 3849, 3294, 15175, 2000, 2227, 1996, 4507, 2008, 1996, 2338, 1011, 9343, 2270, 2003, 2104, 6859, 1999, 1037, 27873, 3974, 2954, 1012, 14873, 1997, 3263, 1010, 2199, 2047, 4486, 2024, 2405, 1999, 1996, 1057, 1012, 1055, 1012, 2296, 2095, 1012, 5560, 1996, 2168, 2193, 1006, 2021, 2367, 2808, 1007, 2024, 2405, 1999, 1996, 1057, 1012, 1047, 1012, 2296, 2095, 1012, 1996, 2193, 1997, 2047, 1041, 1011, 2808, 2405, 2006, 2327, 1997, 2035, 2008, 2003, 2855, 3048, 2000, 3313, 2216, 21948, 1012, 2216, 1041, 1011, 2808, 2024, 2439, 2000, 1996, 3748, 2015, 1997, 4895, 16294, 20782, 16941, 23058, 1996, 7107, 2027, 1521, 2128, 2580, 1025, 1996, 3558, 2808, 1006, 1996, 3924, 5341, 2438, 2000, 2031, 4712, 26178, 1007, 2131, 12373, 1011, 1998, 1011, 2017, 1011, 3335, 1011, 2009, 4653, 1011, 14025, 2012, 1996, 2392, 1997, 1996, 2261, 1006, 1998, 1040, 11101, 2989, 1007, 7027, 21785, 2015, 2187, 1999, 1996, 2530, 2088, 1010, 2059, 2027, 1521, 2128, 2513, 2000, 2037, 8544, 1998, 16016, 2098, 1012, 2009, 1521, 1055, 1037, 2813, 1011, 26239, 22047, 3372, 1010, 1998, 2009, 1521, 1055, 10866, 1012, 1037, 2307, 2116, 1997, 2216, 2808, 2024, 2200, 3653, 6916, 2135, 2881, 1006, 2017, 2969, 1011, 2405, 12455, 2064, 13558, 3805, 1516, 2023, 2112, 2087, 5121, 2987, 1521, 1056, 6611, 2000, 2017, 1007, 1010, 6461, 2012, 9105, 1996, 3239, 1998, 24873, 11890, 2075, 1996, 15882, 1012, 1998, 4283, 2000, 1996, 11268, 14499, 1997, 12996, 6313, 2982, 2041, 2045, 1999, 1996, 2088, 1010, 2116, 1997, 2068, 2272, 17037, 7828, 2098, 2007, 2210, 2751, 13945, 1997, 6226, 1516, 1998, 2296, 2197, 2028, 1997, 2068, 3310, 2007, 2012, 2560, 2028, 14819, 2497, 2013, 8307, 1012, 8141, 1516, 2115, 2779, 1010, 26380, 1010, 12580, 17300, 1520, 2691, 8068, 1521, 1516, 2227, 2023, 28644, 2471, 4498, 23206, 1012, 2116, 1997, 2068, 2123, 1521, 1056, 2031, 2172, 2051, 2000, 3191, 2005, 5165, 1010, 1998, 2087, 1997, 2068, 2025, 2069, 2123, 1521, 1056, 3191, 11321, 2021, 2123, 1521, 1056, 2113, 2129, 2000, 3191, 11321, 1012, 2008, 1521, 1055, 2019, 27427, 20806, 16280, 2391, 1010, 3383, 1010, 1998, 2028, 2025, 7633, 2094, 2000, 3531, 5061, 2100, 1011, 13205, 15138, 19000, 2015, 2066, 1062, 7184, 2100, 1010, 2021, 2009, 1521, 1055, 9690, 2995, 1012, 3752, 2003, 1037, 8066, 2066, 2505, 2842, 1516, 1996, 2062, 2017, 2079, 2009, 1006, 2926, 6975, 2135, 1010, 2004, 2009, 2020, 1010, 2005, 2019, 4378, 1007, 1010, 1996, 2488, 2017, 2131, 2012, 2009, 1012, 3752, 11321, 7336, 3173, 1037, 2338, 2039, 1999, 1996, 2250, 1998, 3254, 3810, 1996, 2878, 2518, 2105, 1998, 2105, 1010, 12843, 2296, 2227, 2102, 1010, 7721, 2135, 13599, 2049, 2296, 7814, 2000, 2035, 1996, 2808, 2017, 1521, 2310, 6660, 2218, 2039, 1999, 1996, 2250, 1012, 2009, 7336, 3773, 1996, 2878, 2836, 1010, 4363, 1996, 2062, 7226, 20782, 3033, 1997, 4426, 1999, 8636, 2061, 2008, 2017, 2064, 14358, 2296, 2126, 1999, 2029, 2023, 3327, 2338, 2573, 1998, 2987, 1521, 1056, 2147, 1012, 1998, 3904, 1997, 2023, 2003, 2589, 2000, 2265, 2125, 1006, 2348, 2070, 1997, 2149, 2064, 1521, 1056, 2393, 2009, 999, 1007, 1025, 2009, 1521, 1055, 2589, 2005, 2048, 4436, 1024, 1015, 1007, 1996, 14412, 11129, 3477, 5403, 3600, 14377, 14880, 6299, 2003, 2061, 14768, 2055, 1010, 1998, 1016, 1007, 1996, 2200, 4611, 1062, 7184, 2100, 2052, 10824, 1012, 2008, 4611, 3310, 2013, 2028, 3722, 2755, 1006, 2025, 2000, 28647, 29175, 2007, 2664, 2062, 28425, 2098, 4332, 1997, 7655, 999, 1007, 1024, 2017, 2064, 1521, 1056, 3648, 1037, 2338, 2011, 2049, 3104, 1012, 4401, 2433, 1037, 2240, 1997, 10412, 2098, 1010, 15302, 1011, 26974, 4932, 2090, 1996, 2691, 8068, 1006, 1998, 2010, 15849, 23654, 2098, 2338, 1011, 9343, 5166, 1007, 1998, 1996, 11146, 2075, 19267, 1997, 2808, 2008, 2215, 2000, 2022, 4149, 1012, 4401, 2393, 2216, 2691, 8141, 2191, 10232, 6567, 2025, 2074, 2055, 2129, 2000, 5247, 2037, 2769, 2021, 2129, 2000, 5247, 2037, 2051, 1516, 5262, 1010, 2005, 2216, 8141, 1010, 12580, 11963, 2098, 2011, 2037, 9804, 1998, 5782, 5064, 2000, 2424, 2204, 4933, 1010, 4401, 2024, 1996, 2069, 2393, 1012, 1998, 2216, 4401, 2024, 7078, 2053, 2393, 2012, 2035, 2065, 2027, 2069, 2079, 2431, 2037, 3105, 1012, 2018, 28605, 2359, 2000, 10653, 1999, 1998, 2707, 14118, 2014, 3507, 16485, 1010, 2016, 1521, 1040, 2031, 2042, 14953, 2135, 5214, 1012, 2035, 1997, 2149, 2052, 1010, 2012, 2330, 4144, 1010, 2348, 1999, 26316, 2135, 2367, 3971, 1012, 2057, 2031, 2019, 3559, 2040, 2061, 6524, 4491, 1037, 2338, 2008, 2043, 2002, 2515, 1010, 1996, 2217, 22852, 11852, 1997, 2010, 21406, 2003, 2471, 7132, 1516, 1996, 2338, 2003, 9636, 2000, 3109, 2302, 2130, 2108, 6170, 2098, 1012, 2178, 3559, 1010, 2043, 2002, 18959, 2015, 1037, 2338, 1006, 2036, 17003, 2135, 4678, 1516, 2138, 1999, 1996, 2613, 2088, 1010, 2750, 1062, 7184, 2100, 1521, 1055, 13233, 4748, 8202, 22753, 2015, 1010, 2087, 4401, 9544, 2000, 8489, 1007, 1010, 2411, 2515, 1996, 4706, 5662, 1997, 3228, 2009, 1037, 3813, 2021, 5379, 3331, 1011, 2000, 2408, 1996, 2395, 2012, 1996, 3309, 3347, 1010, 2127, 1996, 2338, 2003, 9467, 2094, 1998, 3621, 14154, 29325, 2075, 1010, 10015, 2000, 2079, 2488, 2279, 2051, 1012, 2664, 2178, 3559, 2097, 2175, 2046, 9079, 4477, 5549, 2013, 1996, 28341, 3185, 3743, 2739, 1010, 1999, 10288, 6525, 6321, 14527, 1996, 2166, 2041, 1997, 1037, 2338, 2025, 2007, 25007, 17871, 1006, 2092, 1010, 2672, 1037, 2210, 1007, 2021, 2007, 11977, 2454, 1010, 2809, 3634, 1998, 5595, 2698, 4595, 1010, 2176, 3634, 1998, 5408, 8866, 1010, 2872, 2006, 1996, 4094, 2028, 2044 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1024, 4463, 4679, 2054, 2003, 2009, 2008, 12939, 2577, 5747, 2000, 3637, 2012, 2305, 2043, 2010, 10927, 17599, 1998, 1999, 18515, 18518, 2004, 1037, 7786, 13467, 2008, 1997, 5032, 28429, 1029, 2071, 2009, 2022, 2008, 2002, 7771, 2083, 2010, 2381, 8921, 2055, 1996, 2413, 4329, 2096, 2002, 2001, 2012, 7996, 1029, 3383, 2010, 3977, 2000, 3637, 2614, 2135, 12402, 2013, 2383, 1996, 2087, 3928, 2510, 1999, 1996, 2381, 1997, 8438, 2012, 2010, 13148, 1012, 2108, 1037, 2266, 1997, 1037, 5321, 5306, 2067, 2000, 1996, 4479, 1005, 1055, 2052, 2036, 7166, 2000, 2203, 5004, 2028, 2007, 1037, 3168, 1997, 14262, 20693, 2004, 2028, 20228, 20824, 2098, 1037, 3842, 1005, 1055, 4219, 1010, 29022, 1996, 1057, 1012, 1055, 1012, 4552, 1010, 7531, 6206, 5233, 1010, 7087, 6340, 2087, 1997, 1996, 2088, 1010, 23044, 7036, 2015, 1999, 1996, 2171, 1997, 1000, 9359, 4071, 1000, 1012, 4361, 3311, 2069, 3010, 2644, 2006, 2149, 4092, 2778, 4361, 1010, 17419, 1012, 1021, 1013, 27166, 2860, 1013, 1011, 27187, 2329, 6131, 2577, 22372, 2097, 3942, 4361, 2244, 2385, 2000, 2459, 2005, 1996, 2069, 3010, 2644, 2006, 1037, 2149, 4092, 2778, 1012, 22372, 2097, 2778, 2809, 2149, 3655, 2013, 2244, 2410, 2000, 2484, 2000, 5326, 2010, 2047, 2338, 2720, 22372, 3632, 2000, 2899, 1010, 2019, 4070, 1997, 2010, 3325, 19919, 2075, 2077, 1996, 2149, 4001, 1999, 2089, 2384, 1012, 2060, 7492, 2006, 22372, 1005, 1055, 2778, 2421, 3883, 4869, 13545, 2050, 1010, 2751, 2732, 2945, 2005, 3521, 2266, 15837, 2016, 24660, 1998, 4013, 1011, 2162, 3213, 5696, 27738, 6132, 1012, 22372, 2097, 3113, 27738, 6132, 1999, 2047, 2259, 2011, 24188, 2072, 6260, 21531, 2017, 1005, 2310, 2657, 2055, 1996, 3521, 2929, 1012, 2023, 2003, 2115, 3382, 2000, 3113, 1996, 10134, 1998, 4553, 2055, 2037, 3289, 2034, 2192, 1012, 1996, 6116, 2380, 6056, 2005, 3606, 1004, 3425, 2003, 9936, 2049, 2034, 6116, 2380, 3521, 4189, 1998, 2237, 2534, 2013, 11501, 2000, 1019, 1052, 1012, 1049, 1012, 5095, 1999, 8040, 4492, 10484, 2380, 1010, 2006, 1996, 4514, 3420, 1997, 2697, 2395, 1998, 6116, 2380, 3927, 1012, 2053, 9634, 2097, 2022, 5338, 1012, 27612, 5052, 2055, 2871, 3521, 4411, 2097, 2022, 2275, 2039, 1999, 1996, 2380, 1010, 2714, 2000, 6116, 2380, 1005, 1055, 2154, 1999, 2256, 2352, 7401, 2218, 2169, 2238, 1010, 2056, 4901, 11338, 29370, 1010, 2028, 1997, 1996, 2724, 18829, 2005, 1996, 3606, 1004, 3425, 6056, 1012, 2244, 1021, 1010, 2384, 2011, 7912, 19351, 12789, 3600, 4203, 8096, 16074, 5639, 6097, 17298, 5603, 4115, 2038, 1037, 3260, 1998, 1037, 3902, 1012, 2006, 1996, 3587, 2154, 1997, 2010, 7064, 16864, 7071, 1011, 4335, 2778, 9857, 1010, 1996, 4203, 8096, 2810, 7309, 5359, 2300, 1010, 2833, 1998, 2060, 6067, 2000, 3901, 1999, 1998, 2105, 2047, 5979, 1012, 2004, 2002, 5225, 2046, 1996, 2103, 2013, 1996, 23336, 2058, 2697, 21179, 7507, 5339, 21166, 1010, 2002, 2649, 2054, 2002, 2071, 2156, 2083, 1996, 19521, 1997, 2010, 2901, 2440, 1011, 2946, 7937, 2082, 3902, 1012, 12400, 7510, 5472, 26813, 2012, 1996, 23310, 4402, 1025, 1037, 2902, 2911, 1025, 27712, 4755, 3514, 3846, 1012, 1000, 2045, 1521, 1055, 1037, 15653, 4744, 2007, 1037, 5268, 3564, 11043, 2007, 2019, 12098, 1011, 2321, 1999, 2010, 5001, 1012, 2610, 1998, 2510, 2024, 2183, 1999, 2296, 3257, 2012, 2320, 1010, 1000, 2002, 2056, 1012, 1000, 2009, 1521, 1055, 2019, 6429, 3496, 1012, 1000, 21086, 3679, 2739, 16883, 2884, 13442, 2869, 1011, 19924, 4095, 1997, 21086, 4283, 3071, 2040, 2357, 2041, 2005, 1996, 15837, 2016, 24660, 6819, 20142, 15476, 1012, 2459, 2006, 1996, 2380, 6167, 1012, 1000, 2009, 2001, 1037, 6569, 1998, 14293, 2000, 3233, 2007, 2061, 2116, 2111, 2040, 2490, 2023, 2450, 1998, 2014, 3426, 1012, 2130, 1999, 1037, 6706, 4542, 2007, 12977, 2015, 1999, 2028, 2192, 1998, 14006, 1999, 1996, 2060, 1010, 7397, 3619, 2234, 2362, 2000, 2265, 15398, 1998, 5142, 2005, 1037, 3507, 6926, 2013, 28978, 1012, 2065, 2069, 2296, 2154, 2057, 2052, 3693, 2362, 1998, 2490, 2028, 2178, 1010, 3383, 2057, 2876, 1005, 1056, 2342, 2000, 2022, 2012, 2162, 1012, 15398, 1998, 16056, 2064, 2022, 9530, 15900, 6313, 1025, 2876, 1005, 1056, 2008, 2022, 1037, 6569, 3993, 16311, 2000, 7409, 1029, 1000, 2011, 3968, 4599, 18349, 2860, 28917, 1517, 15837, 2016, 24660, 1010, 1996, 2662, 2510, 3566, 3005, 2656, 1011, 2154, 6819, 20142, 2648, 2343, 5747, 1005, 1055, 3146, 8086, 3271, 2191, 2014, 1996, 2047, 2227, 1997, 2019, 3424, 1011, 2162, 2929, 1010, 2038, 2623, 2008, 2016, 2097, 3693, 1037, 2177, 1997, 13337, 2648, 1996, 4822, 1997, 2160, 5882, 6877, 24748, 5339, 2182, 2651, 1012, 2016, 24660, 2761, 2056, 2016, 2876, 1005, 1056, 5589, 1999, 1996, 3942, 1010, 2029, 2003, 2112, 1997, 1037, 2186, 1997, 3424, 1011, 2162, 8090, 2108, 4114, 2105, 1996, 2406, 2011, 1996, 2177, 3288, 2068, 2188, 2085, 1012, 1037, 14056, 2005, 1996, 2177, 2056, 9857, 1010, 2295, 1010, 2008, 2016, 24660, 2787, 2012, 1996, 2197, 3371, 2000, 3693, 1996, 28917, 8320, 2004, 2092, 2004, 2019, 3944, 6819, 20142, 1999, 10500, 2239, 1012, 1996, 28566, 2739, 23701, 7630, 5283, 1516, 1523, 1996, 22501, 2395, 8102, 13324, 2895, 9499, 1008, 2142, 2005, 3521, 1998, 3425, 7479, 1012, 2142, 29278, 5051, 10732, 1012, 8917, 1064, 18164, 1011, 6564, 2620, 1011, 4583, 19961, 1064, 11562, 2000, 4942, 29234, 3661, 2013, 15837, 2016, 24660, 17419, 1012, 1021, 1010, 2384, 6203, 2814, 1998, 6793, 1997, 3521, 1010, 2006, 2257, 17089, 1010, 2057, 2701, 2091, 3409, 9036, 2006, 1996, 12730, 1997, 2343, 5747, 1005, 1055, 8086, 1999, 10554, 1010, 3146, 1012, 1999, 1996, 2093, 1998, 1037, 2431, 3134, 2008, 2057, 2020, 1999, 10554, 1010, 5190, 1997, 2111, 2979, 2083, 1011, 2070, 2005, 2074, 1037, 2261, 2847, 1998, 2070, 2005, 2420, 2030, 3134, 1012, 2802, 1996, 2406, 1010, 5606, 1997, 5190, 1997, 2111, 5838, 2000, 2026, 6819, 20142, 1010, 4214, 2006, 1996, 2343, 2000, 3113, 2007, 2033, 1998, 1010, 2074, 2004, 14780, 1010, 5815, 2037, 5755, 2000, 1996, 3652, 5390, 2005, 2019, 2203, 2000, 1996, 2162, 1999, 5712, 1012, 5273, 2110, 3485, 3870, 11333, 9905, 10344, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 3438, 2620, 1011, 22898, 1011, 6079, 11387, 2244, 1018, 1010, 2384, 1037, 2177, 1997, 8244, 1998, 2510, 2945, 3764, 4465, 2305, 2077, 1037, 4306, 1997, 7063, 7066, 4941, 2000, 1996, 2162, 1999, 5712, 1010, 9359, 2037, 4471, 2008, 4637, 1996, 3629, 2987, 1005, 1056, 9352, 2812, 4637, 1996, 2162, 1012, 1996, 1000, 3288, 2068, 2188, 2085, 2778, 1010, 1000, 2019, 12446, 23416, 1997, 2510, 3566, 15837, 2016, 24660, 1005, 1055, 3204, 10052, 6186, 1999, 2392, 1997, 2343, 5747, 1005, 1055, 8086, 1999, 3146, 1010, 6296, 1037, 2379, 1011, 3977, 4306, 2000, 1996, 6287, 5974, 1012, 2778, 5882, 18566, 9484, 2386, 1010, 3005, 3129, 2366, 2019, 3668, 2778, 1997, 4611, 1999, 5712, 1010, 2056, 2016, 2347, 1005, 1056, 4527, 2011, 1996, 5270, 1010, 9073, 2008, 7063, 2038, 1037, 2381, 1999, 1996, 3424, 1011, 2162, 2929, 5306, 2067, 2000, 5148, 1012, 2517, 2011, 4901, 23727, 3366, 9857, 1010, 5757, 2244, 2384, 4357, 2007, 6877, 13970, 27085, 2818, 6877, 13970, 27085, 2818, 1010, 2247, 2007, 3507, 7672, 6606, 14863, 11890, 21716, 11283, 1006, 1040, 1011, 7632, 1007, 1998, 10643, 4787, 3557, 1006, 1054, 1011, 13316, 1007, 1998, 6902, 2703, 1006, 1054, 1011, 19067, 1007, 1010, 3107, 1996, 2034, 12170, 1011, 14254, 3021, 4214, 2005, 2019, 6164, 5656, 2013, 5712, 1006, 1044, 1012, 1046, 1012, 24501, 1012, 4583, 1007, 1012, 2105, 2023, 3021, 1998, 2060, 5712, 10534, 4073, 10643, 2024, 5168, 3116, 2369, 2701, 4303, 1998, 6555, 8037, 2031, 2719, 1996, 1000, 2041, 1997, 5712, 13965, 1000, 2000, 5245, 2005, 2019, 6164, 5656, 1012, 16360, 1012, 13970, 27085, 2818, 2003, 2877, 1996, 3519, 2000, 1037, 2613, 9584, 1997, 2019, 6164, 5656, 2013, 5712, 1012, 2011, 10645, 3270, 8554, 12474, 2061, 2085, 2057, 2113, 2054, 1000, 7015, 3426, 1000, 15837, 2016, 24660, 1005, 1055, 2365, 2351, 2005, 1999, 5712, 1024, 21146, 4360, 1012, 2009, 1005, 1055, 1037, 2204, 2518, 1059, 4832, 2005, 2308, 1010, 2030, 1045, 1005, 1040, 2022, 5191, 1012, 1996, 2047, 4552, 1010, 7462, 2104, 3082, 3778, 2013, 1996, 3447, 1010, 4520, 4998, 1996, 10644, 3167, 2375, 2104, 2029, 8956, 2015, 2031, 2973, 2005, 3053, 2431, 1037, 2301, 1999, 5684, 1997, 14833, 26775, 15719, 5507, 2063, 1012, 1000, 7025, 2003, 1996, 2880, 4676, 1997, 1996, 2110, 1998, 2003, 1037, 3937, 3120, 1997, 6094, 1010, 1000, 3720, 1016, 4269, 1011, 1996, 6714, 2003, 2008, 2023, 2653, 2003, 1037, 3377, 2138, 7025, 2003, 2025, 1996, 3120, 1012, 1000, 1006, 1037, 1007, 2053, 2375, 2064, 2022, 2979, 2008, 24528, 29201, 2015, 1996, 6151, 2483, 29462, 3513, 1997, 7025, 1012, 1000, 2006, 1996, 2060, 2192, 1010, 1000, 1006, 1038, 1007, 2053, 2375, 2064, 2022, 2979, 2008, 24528, 29201, 2015, 1996, 6481, 1997, 7072, 1000, 1998, 1000, 1006, 1039, 1007, 2053, 2375, 2064, 2022, 2979, 2008, 24528, 29201, 2015, 1996, 2916, 1998, 3937, 22467, 14801, 1999, 2023, 4552, 1000, 1011, 2004, 1999, 1010, 2005, 2742, 1010, 3720, 2403, 1024, 1000, 8956, 2015, 2024, 5020, 2077, 1996, 2375, 2302, 9147, 2138, 1997, 3348, 1010, 1000, 4676, 1010, 18240, 1998, 2061, 2006, 1012, 26033, 6279, 1024, 4841, 2000, 5747, 1011, 1011, 10632, 3629, 2013, 5712, 2011, 1041, 1004, 1052, 3095, 2405, 1024, 2244, 5757, 1010, 2384, 2260, 1024, 4583, 7610, 3802, 2047, 2259, 2048, 3584, 26033, 6279, 14592, 1010, 6851, 2651, 1999, 1996, 3029, 1005, 1055, 4882, 3189, 1010, 2265, 2008, 4841, 5684, 21779, 2070, 2030, 2035, 1057, 1012, 1055, 1012, 3629, 2013, 5712, 1012, 3383, 2087, 8669, 2001, 1037, 2047, 8554, 2029, 2356, 1015, 1010, 4002, 2581, 4841, 1010, 1000, 2065, 2017, 2071, 2831, 2007, 2343, 5747, 2005, 2321, 2781, 2055, 1996, 3663, 1999, 5712, 1010, 2054, 2052, 2017, 1010, 7714, 1010, 18012, 2032, 2000, 2079, 1029, 1000, 1996, 8554, 2579, 1999, 2397, 2257, 2179, 2008, 4601, 1003, 2056, 2027, 2052, 2425, 2032, 2000, 4139, 3629, 2041, 1997, 5712, 1998, 2203, 2256, 6624, 2045, 1012, 7064, 16864, 1011, 2256, 6322, 8840, 22155, 7014, 22889, 5644, 4801, 2048, 2420, 2044, 7064, 16864, 4930, 2047, 5979, 1010, 1996, 24547, 28637, 2078, 1005, 1055, 3573, 2012, 1996, 3420, 1997, 2548, 1998, 21307, 2121, 3077, 4534, 2815, 5299, 1012, 1996, 11825, 4653, 2553, 2001, 4415, 5710, 2083, 1996, 24835, 1012, 2009, 2001, 2085, 4466, 2847, 2302, 6451, 1010, 2770, 2300, 1010, 27902, 1012, 1996, 6501, 1010, 10930, 27390, 2102, 1010, 1998, 8808, 2015, 2020, 2927, 2000, 27594, 1999, 1996, 3938, 1011, 3014, 3684, 1012, 1996, 5608, 1998, 10489, 2018, 5299, 2039, 1996, 2833, 1010, 2300, 1010, 14089, 7347, 1010, 1998, 20422, 2015, 1998, 6783, 1996, 2103, 1012, 2648, 24547, 28637, 2078, 1005, 1055, 3645, 1010, 3901, 1998, 9045, 3473, 6233, 24907, 1998, 7501, 1012, 2006, 9432, 1010, 2244, 2321, 1010, 1999, 2899, 1010, 1040, 1012, 1039, 1012, 1010, 3519, 10169, 9399, 12121, 7952, 2097, 2907, 1037, 4994, 2006, 6164, 9942, 2005, 5712, 1012, 1037, 6056, 1997, 4411, 9694, 2019, 2203, 2000, 1996, 2162, 2097, 2907, 1037, 8320, 2012, 1019, 1052, 1012, 1049, 1012, 2008, 3944, 1999, 2392, 1997, 1996, 2317, 2160, 1012, 3531, 3198, 2115, 3519, 2266, 1998, 10153, 2000, 2202, 2112, 1999, 2119, 2824, 1012, 10373, 2068, 2182, 1024, 8299, 1024, 1013, 1013, 4714, 3126, 2140, 1012, 4012, 1013, 1021, 2615, 6460, 3501, 2030, 2655, 1996, 6942, 6277, 9565, 2489, 1024, 1006, 6070, 2620, 1007, 6282, 2620, 1011, 5764, 23632, 1012, 1998, 3531, 2272, 2000, 2122, 2824, 4426, 2065, 2017, 2064, 1006, 2021, 3342, 2008, 2057, 2024, 2311, 2646, 1037, 3742, 25580, 2006, 2244, 2484, 1025, 2065, 2017, 2064, 2069, 2272, 2000, 5887, 2320, 1010, 2272, 2059, 1007, 1012, 2739, 2013, 3519, 10169, 9399, 12121, 7952, 1010, 5351, 2212, 1010, 2662, 2005, 2592, 3967, 1024, 20471, 8292, 19139, 26782, 2232, 1006, 16798, 1007, 14993, 1011, 4868, 2620, 2581, 12121, 7952, 4455, 2006, 8037, 1998, 10643, 2000, 2933, 2925, 1997, 5712, 2899, 1010, 1040, 1012, 1039, 1012, 1516, 1057, 1012, 1055, 1012, 4387, 9399, 12121, 7952, 1006, 1040, 1011, 9004, 2389, 12248, 1007, 2003, 4214, 2006, 2372, 1997, 3519, 1998, 1996, 2343, 2000, 2147, 2362, 2000, 3288, 1057, 1012, 1055, 1012, 3629, 2188, 2013, 5712, 1010, 2096, 5094, 1996, 8956, 2015, 12452, 2491, 2058, 2037, 2406, 1998, 2037, 2925, 1012, 2054, 1024, 4994, 2006, 1996, 2925, 1997, 5712, 2043, 1024, 9432, 1010, 2244, 2321, 1010, 2384, 2184, 1024, 4002, 2572, 1516, 1015, 1024, 4002, 7610, 1006, 2089, 2689, 2320, 3295, 2003, 4340, 1007, 2040, 1024, 1057, 1012, 1055, 1012, 4387, 9399, 12121, 7952, 2013, 6285, 10108, 1024, 2182, 2024, 2093, 7760, 2013, 3409, 9036, 1010, 2164, 2028, 1997, 2984, 1998, 12631, 2072, 1011, 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, 2051, 2005, 2070, 2236, 4512, 1012, 2320, 2153, 1045, 1521, 1049, 9720, 2000, 3582, 1520, 7511, 9866, 1521, 2055, 2088, 2162, 2048, 1012, 2021, 2023, 1520, 9866, 1521, 1010, 2096, 5121, 7511, 1010, 2987, 1521, 1056, 4025, 2000, 2033, 2000, 2022, 3391, 7968, 1012, 2009, 2145, 2987, 1521, 1056, 3437, 1996, 3937, 3160, 1520, 2054, 10785, 2001, 3725, 1521, 1055, 3037, 1999, 10723, 2446, 4935, 17318, 2015, 1029, 1521, 2339, 2323, 2057, 2031, 8725, 1029, 2054, 4489, 2106, 2009, 2191, 2000, 2256, 2120, 3037, 3251, 3735, 1010, 1037, 19083, 20200, 4100, 1011, 4078, 11008, 2964, 2029, 4194, 22040, 6588, 1999, 1996, 9040, 1997, 12833, 1010, 2815, 2981, 1010, 2030, 2029, 1997, 2048, 16360, 23004, 1010, 7570, 7712, 16975, 5939, 5521, 15580, 6817, 1996, 4915, 2264, 1997, 4068, 1029, 4496, 2515, 2009, 3437, 2000, 1996, 2279, 3160, 2029, 2003, 1520, 2065, 2057, 2106, 2031, 2107, 2019, 3037, 1010, 2339, 2106, 2057, 2025, 4503, 2019, 2390, 5214, 1997, 27455, 2256, 2097, 2006, 1996, 9983, 1029, 1521, 1999, 2755, 1010, 2043, 21019, 6201, 1010, 2004, 1037, 2162, 2704, 1010, 3818, 1999, 4266, 2008, 2057, 4503, 2107, 2019, 2390, 1010, 2002, 2001, 2058, 1011, 5451, 1010, 2006, 1996, 5286, 2008, 2057, 2071, 2025, 8984, 2000, 4503, 2107, 2019, 2390, 1008, 1998, 1008, 3857, 1996, 2250, 2486, 2057, 2734, 2005, 2120, 4721, 1010, 1008, 1998, 1008, 5441, 1996, 3212, 2057, 2734, 2000, 2907, 2006, 2000, 2256, 3400, 1012, 2122, 5286, 2020, 7687, 2995, 1012, 2057, 2020, 3432, 2025, 4138, 2438, 2000, 8984, 2035, 2093, 1012, 1999, 1996, 2203, 1010, 2057, 2580, 2107, 2019, 2390, 2011, 3352, 1037, 11550, 2121, 1010, 7016, 2953, 1998, 7506, 1997, 1996, 3915, 1010, 2029, 6635, 2098, 2049, 3976, 2011, 4566, 1996, 2329, 3400, 1998, 9268, 5091, 2256, 4071, 2000, 2552, 9174, 2004, 1037, 2510, 2373, 1006, 1037, 2391, 1996, 3915, 2081, 3243, 4415, 2012, 21974, 1010, 2005, 2216, 2040, 2018, 5064, 4771, 2009, 3041, 1007, 1012, 2029, 1997, 1996, 2060, 2578, 2079, 1520, 7511, 9866, 1521, 6793, 2228, 2323, 2031, 2042, 2448, 2091, 2000, 3477, 2005, 1996, 2390, 4072, 2005, 2037, 16822, 3343, 1029, 2054, 2079, 2027, 2228, 2052, 2031, 3047, 2000, 2256, 3754, 2000, 6985, 1996, 3400, 1010, 2030, 2256, 2188, 3470, 1010, 2018, 2057, 2589, 2061, 1029, 2079, 2027, 5138, 2008, 2023, 2453, 2031, 13836, 1029, 4562, 1999, 2568, 1010, 2096, 6195, 2023, 1010, 2008, 1996, 4598, 1997, 1037, 2312, 2390, 2515, 2025, 11302, 3377, 1012, 1996, 2413, 2390, 2001, 4121, 1010, 2021, 4928, 11809, 1999, 3218, 1012, 2023, 2003, 6576, 2138, 2009, 2001, 2881, 1998, 4738, 12590, 2005, 4721, 1010, 1999, 9595, 2007, 1996, 23848, 5740, 2102, 2240, 1516, 1037, 2240, 2029, 2001, 26292, 12958, 2138, 1997, 5706, 1521, 1055, 2709, 2000, 21083, 1011, 1998, 3568, 11809, 1999, 3218, 1012, 2065, 2009, 2003, 2056, 2008, 8042, 1006, 2005, 4436, 2029, 3961, 1037, 6547, 2000, 2033, 1007, 2018, 2070, 3595, 1010, 23179, 4792, 2000, 2886, 1998, 18445, 2023, 2406, 1010, 1999, 26917, 1997, 2035, 2010, 2405, 2245, 2006, 1996, 3043, 1998, 1999, 19674, 1997, 2762, 1005, 1055, 5426, 1998, 1997, 2691, 3168, 1010, 2059, 2292, 2149, 10838, 2247, 2122, 3210, 1012, 2065, 1045, 5138, 1010, 2005, 1996, 8739, 1997, 6685, 1010, 2008, 8042, 2106, 2031, 2107, 1037, 4792, 1010, 2054, 2001, 2256, 2190, 3433, 2000, 2009, 1029, 3725, 1999, 2755, 8679, 2049, 2219, 23848, 5740, 2102, 2240, 1010, 2521, 2488, 2084, 2605, 1521, 1055, 1999, 1996, 2433, 1997, 1996, 3149, 1010, 3143, 1998, 2200, 2524, 2000, 2892, 1999, 2019, 4941, 5274, 1012, 2339, 2059, 3891, 2030, 5490, 13860, 4063, 2256, 4273, 2749, 1998, 2037, 3941, 1999, 6803, 3136, 1010, 2073, 2027, 2052, 9352, 2991, 2104, 1996, 3094, 1997, 2413, 11593, 1998, 2022, 2012, 1996, 8673, 1997, 2413, 10534, 2015, 2006, 2037, 23547, 1029, 2488, 1010, 7543, 1010, 2000, 3961, 8699, 1010, 3129, 2256, 4219, 1998, 3481, 8757, 2256, 2479, 2114, 1996, 6061, 1997, 2886, 1010, 2007, 1996, 6808, 1997, 28283, 4892, 2107, 2019, 2886, 1998, 6324, 2009, 13079, 2135, 2065, 4692, 1012, 1045, 2031, 2000, 2360, 2008, 1996, 11113, 20614, 4154, 1997, 1037, 2446, 2886, 2006, 3725, 1999, 3878, 1010, 2007, 1996, 3149, 2440, 1997, 2446, 18113, 1010, 2453, 2092, 2031, 2419, 2000, 1996, 2991, 1997, 8042, 1998, 2010, 6939, 1006, 2029, 2003, 3383, 2339, 2002, 2106, 2025, 3535, 2009, 2130, 2044, 2256, 2390, 2001, 20114, 1997, 2035, 2049, 3941, 1010, 1998, 2116, 1997, 2049, 10418, 3548, 1010, 2012, 29467, 1998, 23116, 1012, 5674, 2129, 2172, 2062, 11542, 2002, 2052, 2031, 2042, 2000, 2886, 1010, 2018, 2256, 2390, 2042, 3929, 6055, 2007, 7286, 1010, 4893, 1998, 5013, 3665, 1010, 1998, 3403, 2006, 2256, 2217, 1997, 1996, 3149, 1029, 1007, 1012, 2242, 15525, 2023, 3343, 1999, 2755, 2165, 2907, 1997, 1996, 2329, 5069, 1008, 2044, 1008, 1996, 2446, 2886, 1999, 2089, 3878, 1010, 2007, 2175, 5339, 2108, 2445, 1996, 4071, 2000, 4139, 2256, 3629, 2041, 1997, 1996, 2240, 1010, 1998, 1996, 7148, 8375, 2005, 1996, 8831, 2000, 2131, 2049, 9738, 1998, 3941, 2188, 1010, 2096, 10888, 24501, 4747, 10421, 2135, 4188, 2413, 22512, 2000, 27655, 2256, 2948, 2046, 1037, 20076, 3535, 2000, 5343, 1996, 2413, 8749, 1012, 21862, 2015, 1010, 2023, 3343, 2071, 2069, 2022, 2949, 2011, 1996, 8688, 1997, 25501, 1997, 7038, 4276, 1997, 3941, 1998, 5324, 1006, 2011, 2651, 1521, 1055, 5300, 1007, 1998, 1996, 3279, 1997, 2195, 20868, 2890, 24759, 10732, 3085, 15964, 1012, 2025, 2000, 5254, 1996, 2331, 2030, 5425, 1997, 2070, 1997, 2256, 2200, 2190, 3548, 1999, 1996, 13443, 4373, 18405, 1012, 4562, 1999, 2568, 2036, 2008, 3032, 2029, 13520, 2162, 2006, 2060, 3032, 1010, 4558, 1998, 2024, 11438, 1010, 2442, 12040, 2000, 23826, 3521, 3408, 1012, 3032, 2029, 2024, 2025, 2012, 2162, 2079, 2025, 2342, 2000, 2191, 3408, 1010, 1998, 3685, 2031, 2068, 23826, 2000, 2068, 1012, 2320, 2017, 2707, 1037, 2162, 1010, 2059, 2017, 2024, 14723, 2000, 2663, 2009, 1012, 2021, 2065, 2017, 2079, 2025, 2707, 2009, 1010, 1998, 28283, 4330, 17071, 11187, 2013, 7866, 2017, 1010, 2011, 3997, 1998, 4810, 2791, 1010, 2023, 3291, 2515, 2025, 13368, 1012, 1997, 2607, 2009, 2001, 2157, 1997, 10888, 2000, 10214, 2000, 6148, 3408, 1999, 3878, 1012, 2021, 2009, 2001, 2069, 2138, 1997, 1996, 11302, 2000, 3735, 1010, 1998, 2054, 2628, 1010, 2008, 2002, 2001, 1999, 2008, 2597, 2012, 2035, 1012, 2011, 1996, 2126, 1010, 1045, 2123, 1521, 1056, 2228, 1996, 3915, 1521, 1055, 2708, 3114, 2005, 29391, 4443, 2000, 1996, 2162, 2001, 1037, 4792, 2000, 4487, 13102, 19217, 3725, 2013, 2049, 4461, 26007, 1012, 2021, 1045, 2031, 2053, 4797, 2008, 2009, 17858, 2165, 1996, 4495, 2043, 3591, 1012, 1045, 2228, 2009, 8394, 4443, 2127, 4443, 2001, 4072, 1012, 1045, 2572, 2145, 12422, 2054, 2052, 2031, 3047, 1999, 1996, 2647, 3004, 2018, 8042, 2025, 27885, 3669, 28392, 4161, 2162, 2006, 1996, 3915, 1999, 2285, 3874, 1012, 2515, 3087, 2113, 1997, 2151, 2817, 2006, 2023, 1029, 2006, 1996, 9886, 1997, 1996, 12046, 2291, 1010, 2720, 9481, 2758, 1045, 2572, 3308, 2000, 7475, 2008, 2660, 4233, 2023, 2291, 2004, 1037, 8170, 1997, 4489, 2013, 1996, 2280, 1520, 2388, 2406, 1521, 1012, 2002, 2758, 1010, 2004, 2019, 4522, 7526, 1024, 1520, 1037, 3380, 5768, 3319, 1006, 2023, 2001, 2043, 1996, 2231, 2001, 2218, 2011, 1996, 4603, 1010, 4013, 1011, 2329, 4314, 1011, 2120, 6056, 1010, 2004, 2009, 2003, 2085, 1007, 2029, 2179, 2008, 1996, 12046, 2291, 19601, 3618, 8122, 1999, 2437, 16268, 1010, 2001, 2179, 2000, 2022, 6082, 2005, 2082, 2336, 2000, 4553, 2084, 4461, 11702, 1998, 2018, 2042, 2030, 2001, 2108, 4233, 2011, 1037, 3484, 1997, 2256, 6202, 5826, 1521, 1012, 2002, 2442, 4553, 2000, 10782, 9808, 25808, 7028, 4436, 2013, 5025, 3924, 1012, 12046, 18926, 1006, 2066, 5119, 1011, 21537, 1007, 15839, 2065, 2412, 2219, 2039, 2000, 2037, 5025, 6208, 3800, 1010, 2004, 1999, 2489, 3032, 2027, 2442, 5452, 2011, 11259, 3723, 1012, 2002, 2453, 2036, 4390, 2000, 2228, 2055, 2070, 1997, 1996, 9918, 2002, 13385, 2302, 2151, 6835, 4740, 2000, 3160, 2068, 1012, 2009, 2052, 2022, 1008, 6082, 1008, 2005, 2082, 19339, 7389, 2000, 2022, 4036, 2498, 2012, 2035, 1010, 1998, 2000, 2079, 2673, 2007, 10250, 19879, 6591, 1006, 2004, 2027, 2079, 1999, 12046, 3725, 1010, 2411, 2007, 19142, 3463, 1007, 1012, 2021, 2009, 2052, 2025, 2022, 1008, 2488, 1008, 1012, 10655, 1010, 2151, 7966, 2064, 4175, 2010, 10393, 1010, 2021, 2009, 2987, 1521, 1056, 2812, 2008, 2002, 5807, 1521, 1056, 2022, 4036, 2010, 2335, 7251, 2039, 2000, 4376, 1010, 1998, 2000, 11997, 2007, 2107, 2477, 2004, 7728, 1998, 12263, 1010, 11313, 2015, 1998, 14683, 2015, 1010, 2029, 5258, 1999, 2116, 11817, 1998, 16268, 1010, 2029, 11756, 1011, 10320, 3001, 2123, 1521, 1056, 3499, 2005, 1012, 2004, 2005, 2023, 1520, 8122, 1521, 1998, 1520, 2715, 3012, 1521, 1010, 2023, 3310, 2013, 1996, 2168, 6540, 2004, 1996, 2801, 2008, 5128, 3071, 1999, 5509, 3578, 5991, 2052, 9611, 2256, 3847, 3471, 1516, 3225, 2007, 1996, 2801, 1010, 1998, 5131, 2007, 1996, 2111, 1012, 2489, 3032, 2079, 2477, 1996, 2060, 2126, 2461, 1006, 2029, 2003, 2339, 4841, 2444, 1999, 3506, 2007, 5822, 1010, 1998, 12513, 1010, 3272, 2005, 1996, 3565, 1011, 4138, 1010, 2040, 2031, 3506, 2205, 1010, 2444, 1999, 5991, 1997, 14201, 1007, 1012, 2151, 7919, 1011, 4036, 2775, 2064, 18422, 4089, 1998, 18228, 1999, 16120, 11702, 1010, 2004, 2057, 2035, 2106, 2127, 2027, 2020, 8961, 1012, 2129, 2842, 2106, 2057, 6133, 2061, 2092, 1999, 1996, 6652, 1998, 3487, 2937, 28500, 1029, 2129, 2106, 1996, 4895, 1011, 12046, 4383, 3915, 6133, 2000, 2404, 1037, 2158, 2006, 1996, 4231, 1010, 2029, 2053, 12046, 4383, 2406, 2038, 2664, 2589, 1029, 1037, 2406, 2064, 4089, 3613, 2000, 2224, 2049, 2219, 4968, 11702, 2005, 2049, 2219, 4968, 5682, 1010, 2096, 17731, 5350, 2005, 9167, 7594, 1999, 3649, 3097, 3408, 1996, 7799, 5942, 1012, 1045, 2064, 5271, 5317, 2011, 1996, 12046, 10228, 2000, 2859, 1010, 1998, 3886, 2011, 1996, 7924, 2000, 2762, 1010, 1998, 2145, 4965, 6501, 2011, 1996, 9231, 2102, 1998, 24209, 8445, 1010, 6240, 2011, 1996, 9044, 1010, 8416, 2011, 1996, 4220, 1998, 17141, 2011, 1996, 25234, 1010, 2005, 2026, 2219, 2224, 1006, 2096, 12324, 2075, 2026, 3514, 1999, 13826, 1007, 1012, 2006, 1996, 3354, 2586, 1010, 1521, 4789, 5811, 1521, 3849, 2000, 2022, 2104, 1996, 8605, 2008, 14262, 2546, 9527, 3092, 2007, 1996, 24477, 4329, 1997, 4585, 1012, 1999, 2755, 1996, 14262, 10343, 2020, 7861, 2319, 6895, 17585, 2094, 1999, 1996, 15914, 2104, 17608, 3656, 2462, 1010, 2461, 2055, 1996, 2168, 2051, 2008, 1996, 3915, 2001, 7861, 2319, 6895, 24952, 3070, 2049, 7179, 1012, 2011, 4554, 1010, 3607, 2001, 2028, 1997, 1996, 7915, 4975, 18730, 1999, 1996, 2088, 1010, 1998, 27564, 9114, 2011, 7831, 2007, 2049, 2110, 1999, 7973, 2030, 5141, 1012, 2049, 8677, 4280, 2018, 2042, 6551, 16697, 2011, 2037, 4154, 2012, 1996, 2398, 1997, 2900, 1010, 1998, 1996, 5497, 4329, 2029, 2628, 1012, 6343, 2064, 2085, 2113, 2054, 2453, 2031, 2042, 2018, 1996, 16775, 3247, 2000, 2175, 2000, 2162, 2042, 9511, 1999, 4554, 1006, 2295, 9761, 19834, 18079, 10253, 6968, 10606, 1521, 1055, 3048, 2143, 1520, 1996, 3607, 2057, 2031, 2439, 1521, 1010, 29591, 7699, 2196, 3491, 1999, 1996, 2225, 1010, 3957, 1037, 12185, 1997, 1996, 2406, 2012, 1996, 2051, 2029, 2003, 2438, 2000, 2191, 2151, 2767, 1997, 3607, 27874, 2007, 9038, 2012, 2054, 2001, 3908, 2011, 17497, 1998, 2010, 2061, 17080, 2094, 1010, 2446, 1011, 13790, 8509, 2818, 1007, 1012, 25239, 7166, 2000, 22889, 12243, 2037, 23993, 25228, 1010, 2000, 2191, 3209, 2298, 2488, 1012, 1996, 28755, 2081, 2107, 1037, 3109, 2041, 1997, 3607, 1998, 2014, 3400, 2008, 2027, 2734, 2000, 22889, 12243, 1996, 17608, 2015, 2007, 9686, 5051, 13247, 6819, 3995, 3126, 1012, 2053, 4797, 17608, 2923, 3607, 2018, 2116, 1010, 2116, 19399, 1012, 2021, 2027, 2024, 2004, 2498, 4102, 2000, 1996, 5490, 8787, 2953, 1010, 4028, 1010, 22422, 1010, 14624, 1010, 4808, 1998, 6215, 17303, 2006, 2008, 3532, 2406, 1998, 2049, 2111, 2011, 26425, 2078, 5470, 17592, 2005, 6421, 2146, 1010, 2601, 2086, 1012, 2004, 2005, 1996, 2162, 1997, 3874, 1010, 24020, 14017, 27922, 18595, 3215, 6038, 2320, 2081, 2019, 5875, 7831, 2090, 1996, 2836, 1997, 1996, 2845, 8749, 1997, 4554, 1010, 1998, 2216, 1997, 3874, 1012, 2009, 2515, 2025, 8339, 2092, 2006, 1996, 2417, 2390, 1012, 2216, 2040, 4797, 2023, 2323, 3422, 1996, 3152, 1997, 2845, 3548, 10998, 2000, 2162, 1999, 4554, 1010, 1999, 1996, 4035, 2475, 2186, 2006, 1996, 2307, 2162, 1006, 12192, 2800, 1007, 1998, 12826, 2122, 12047, 2273, 2007, 1996, 4973, 1997, 24004, 3354, 14239, 1010, 2598, 2091, 2011, 5506, 8145, 12848, 6648, 1010, 2110, 1011, 6485 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4968, 8351, 2444, 4969, 1999, 2523, 2007, 4286, 1012, 1996, 2034, 4968, 4383, 8351, 12427, 3701, 1999, 1996, 2690, 2264, 1998, 2430, 4021, 2021, 2144, 2059, 2031, 2042, 3107, 7249, 1012, 4968, 8351, 2024, 4654, 7913, 19968, 2100, 2310, 2869, 25090, 2571, 1998, 4839, 1999, 1037, 2898, 3528, 1997, 10746, 4969, 7478, 2013, 16868, 3137, 6138, 2000, 5532, 3785, 1012, 1006, 24665, 5831, 4168, 2243, 2901, 1010, 10406, 3118, 1007, 1996, 3558, 4751, 1997, 4968, 8351, 8137, 6551, 2426, 15910, 1012, 2132, 1998, 2303, 3091, 2003, 1015, 1010, 3263, 1011, 1015, 1010, 5385, 3461, 1998, 3244, 4578, 2003, 13757, 1011, 1015, 1010, 13756, 3461, 1012, 2931, 8351, 7166, 2000, 2022, 2093, 7728, 2000, 2048, 12263, 1996, 2946, 1997, 3767, 1012, 3748, 8351, 2031, 17448, 2090, 3963, 1011, 5018, 3461, 2021, 1999, 4968, 8351, 17448, 2089, 2022, 3469, 1998, 2109, 2004, 1037, 6638, 3914, 1010, 2348, 2122, 2146, 17448, 2024, 3718, 2006, 2087, 3293, 8623, 1012, 8351, 2031, 1037, 7471, 18856, 29218, 1998, 4867, 17291, 3294, 3139, 2007, 2460, 2606, 3272, 2006, 1996, 17034, 1997, 1996, 15325, 1998, 2970, 1012, 1996, 3562, 1051, 11365, 2003, 7356, 2011, 1996, 3739, 1997, 23340, 4350, 1999, 1037, 8467, 6245, 1999, 1996, 18749, 20026, 2389, 5923, 1010, 1996, 20092, 2181, 1010, 1998, 2090, 1996, 2048, 2364, 10393, 1997, 1996, 3329, 1012, 2122, 23340, 3595, 2063, 1037, 3154, 4100, 1011, 8331, 9415, 2008, 3957, 4968, 8351, 2037, 8281, 5437, 1012, 1996, 21542, 1997, 4968, 4383, 8351, 11234, 2013, 2216, 1997, 3748, 8351, 1999, 2008, 1996, 3239, 22278, 1998, 4167, 2553, 2024, 4359, 1012, 4989, 2005, 15318, 2590, 12955, 2038, 2550, 4968, 8351, 2007, 2030, 2302, 12121, 1010, 11569, 1010, 1998, 6327, 5551, 1012, 28757, 8483, 2013, 21582, 2317, 2000, 2601, 2829, 1998, 2304, 1012, 2045, 2003, 6196, 8906, 2426, 1996, 2058, 3263, 5664, 15910, 1997, 8351, 1012, 2005, 4751, 2006, 1037, 3563, 15910, 23363, 8299, 1024, 1013, 1013, 7473, 28332, 1012, 2019, 5244, 6895, 1012, 7929, 9153, 2618, 1012, 3968, 2226, 1013, 15910, 1013, 8351, 1012, 15910, 2006, 1037, 12348, 3978, 1010, 4340, 2011, 2154, 3091, 1010, 2007, 3801, 1006, 1041, 18192, 1007, 2034, 3352, 14946, 1999, 1996, 2220, 2991, 1998, 3588, 14946, 2083, 3054, 10105, 3334, 1012, 9765, 7946, 12709, 2846, 2090, 2403, 1998, 2322, 2420, 2007, 2459, 2004, 1996, 2779, 1012, 3801, 2024, 1999, 3684, 2006, 2779, 2005, 2382, 2847, 1012, 3767, 1006, 13456, 1007, 2024, 14946, 2095, 2461, 1998, 2087, 4968, 8351, 20823, 2224, 1015, 8223, 2000, 2423, 2000, 3486, 1041, 18192, 1012, 16216, 20100, 20185, 16459, 2420, 2007, 2087, 12559, 2015, 2141, 1999, 3054, 3500, 1012, 2028, 2030, 2048, 12559, 2015, 1010, 2029, 2024, 2583, 2000, 3233, 1998, 11891, 2571, 2306, 1037, 2261, 2781, 1997, 4182, 1010, 2024, 2141, 2000, 2169, 1041, 8545, 1012, 2119, 3287, 1998, 2931, 12559, 2015, 3362, 4424, 16736, 2306, 2028, 2095, 1012, 1006, 4372, 6491, 9912, 3551, 1007, 2038, 1037, 3811, 2764, 19311, 2075, 2030, 14906, 2075, 12753, 1012, 2312, 2967, 1997, 8351, 1006, 2039, 2000, 6694, 2030, 2062, 1007, 2693, 2058, 2019, 2181, 1999, 2967, 1010, 2738, 2084, 2004, 3633, 1012, 2053, 1000, 4177, 1000, 1999, 1996, 19311, 26616, 15400, 2030, 2060, 3596, 1997, 5248, 1010, 2164, 3462, 1012, 2023, 19311, 2075, 12753, 16605, 2000, 2037, 3171, 7784, 2004, 1037, 2309, 11133, 2064, 2491, 1037, 2312, 19311, 1997, 4176, 1012, 8351, 2468, 9839, 13233, 2043, 5459, 2013, 2500, 1010, 2411, 4214, 1998, 22195, 2075, 2012, 1996, 2598, 1012, 4424, 5248, 1999, 2483, 2590, 1999, 8351, 2537, 1012, 15100, 5158, 3701, 1999, 1996, 2220, 2851, 2030, 1999, 1996, 3944, 1012, 13456, 3945, 2005, 1041, 18192, 1998, 2065, 1037, 8223, 13172, 1996, 1041, 8545, 2003, 1999, 9765, 7946, 1010, 2002, 2097, 16371, 11818, 1996, 1041, 8545, 1999, 1996, 2566, 3170, 2819, 1012, 1996, 1041, 8545, 2059, 15980, 1037, 15100, 11032, 2065, 4699, 1999, 1996, 8223, 2030, 3328, 2185, 2065, 2025, 1012, 2065, 1996, 1041, 8545, 2003, 4699, 1996, 8223, 2097, 6204, 1037, 2460, 1000, 18921, 13068, 1000, 5219, 1010, 4057, 1998, 8872, 9869, 1012, 2065, 2025, 2059, 2002, 2097, 2693, 2006, 2000, 2178, 1041, 8545, 1012, 1006, 17752, 2121, 3172, 1007, 4968, 8351, 2024, 5186, 9532, 4176, 1998, 2064, 5788, 2006, 1037, 8738, 5398, 1997, 2069, 3526, 18845, 3366, 1010, 2732, 2818, 2030, 5699, 2015, 2004, 2019, 2943, 3120, 1998, 1037, 14114, 3120, 2029, 2342, 2025, 2022, 5250, 1012, 1999, 2236, 1010, 8351, 5438, 3701, 2006, 21620, 2096, 1999, 24813, 1998, 2064, 2022, 7349, 1037, 2898, 3528, 1997, 29051, 1998, 1051, 11149, 1012, 6196, 2470, 2038, 2042, 2589, 2006, 8351, 28268, 5918, 1010, 1998, 5438, 20885, 7251, 2024, 2556, 1999, 4372, 6491, 9912, 1005, 1055, 3551, 1000, 1996, 4518, 2386, 1005, 1055, 14812, 1000, 1012, 15400, 8351, 13749, 4355, 1037, 2312, 3815, 1997, 2833, 1999, 1037, 2460, 2051, 1010, 2059, 11036, 2000, 2717, 1998, 28667, 5369, 2860, 1996, 13749, 17944, 3043, 1012, 8351, 5247, 2037, 2154, 15122, 2090, 2122, 6993, 1997, 15400, 1998, 19379, 19185, 1012, 2038, 1037, 2312, 1998, 3375, 4308, 2029, 2003, 2583, 2000, 17886, 3811, 10882, 12618, 2271, 9440, 2008, 2064, 2025, 2022, 17886, 2098, 2011, 2116, 2060, 4176, 1012, 2049, 10754, 28268, 5918, 9002, 2000, 2049, 3171, 7784, 1012, 1006, 17752, 2121, 3172, 1010, 4372, 6491, 9912, 3551, 1007, 2003, 2028, 1997, 1996, 2087, 15318, 3278, 2427, 2006, 1996, 4774, 1012, 2144, 2037, 4968, 3370, 2090, 7706, 2692, 1998, 22096, 2692, 2086, 3283, 2027, 2031, 2042, 1037, 3120, 1997, 6240, 1010, 6501, 1010, 12121, 1998, 17382, 1999, 3053, 2296, 2406, 1012, 1999, 2070, 8578, 8351, 2024, 2641, 3811, 6179, 2004, 1037, 17266, 3089, 8873, 13247, 4111, 1012, 1996, 18601, 18724, 1997, 1996, 2427, 16605, 2000, 2049, 3171, 7784, 2004, 2312, 28822, 1997, 4176, 2064, 2022, 5224, 1999, 2116, 10058, 2012, 4659, 2659, 5366, 1012, 4661, 2037, 6179, 2791, 1999, 2019, 4910, 3168, 1010, 8351, 2031, 2468, 2590, 2004, 1037, 6994, 2005, 4045, 2470, 1012, 2138, 1997, 2037, 2312, 2946, 1998, 2659, 6032, 5366, 2027, 2191, 2019, 7812, 2944, 2005, 1037, 2307, 3066, 1997, 4045, 2470, 1012, 2038, 2053, 15316, 3896, 2006, 2529, 7080, 1012, 1996, 20250, 1997, 4968, 8351, 1010, 2295, 1010, 2038, 15316, 2135, 3466, 2098, 7080, 1997, 2037, 3748, 9064, 2083, 2971, 2005, 2005, 4270, 1998, 1996, 3659, 1997, 4295, 1012, 1996, 2088, 2313, 1997, 4968, 8351, 2038, 26261, 4215, 2135, 3445, 2144, 2037, 4968, 3370, 1998, 1996, 2088, 8351, 2313, 21948, 2058, 1037, 4551, 8351, 1012, 2045, 2003, 6196, 6704, 2058, 2043, 1998, 2013, 2054, 3748, 2427, 1996, 2034, 4968, 8351, 9287, 1012, 2783, 10381, 21716, 27642, 1998, 23005, 3350, 7127, 2008, 1996, 17856, 17905, 4158, 2055, 7706, 2692, 1011, 22096, 2692, 2086, 3283, 1998, 2008, 1996, 2034, 8351, 4968, 4383, 2020, 2013, 1996, 9587, 4609, 10258, 2239, 1006, 1051, 11365, 14163, 5332, 8202, 1007, 19311, 2015, 2013, 21594, 1998, 27047, 1012, 1006, 24665, 5831, 4168, 2243, 2901, 1007, 3782, 2128, 18891, 3363, 1006, 3166, 1007, 1010, 2118, 1997, 4174, 1011, 5754, 19679, 1010, 6316, 13854, 1006, 3559, 1007, 1010, 2688, 1997, 22405, 1010, 2118, 1997, 4174, 1011, 5754, 19679, 1012, 2542, 1999, 2660, 1010, 2047, 3414, 1010, 12343, 1010, 2047, 7102, 1998, 3378, 3470, 1012, 2542, 1999, 4942, 1011, 24505, 3088, 1006, 2148, 1997, 2382, 5445, 2167, 1007, 1998, 11934, 1012, 2542, 1999, 1996, 2379, 13306, 16012, 3351, 13705, 2874, 1010, 1996, 2642, 2112, 1997, 1996, 2047, 2088, 1012, 2023, 2950, 16128, 1010, 1996, 3010, 10162, 3470, 1010, 1998, 2035, 1997, 1996, 2167, 2137, 2004, 2521, 2148, 2004, 1996, 11784, 1997, 2430, 3290, 1012, 2542, 1999, 1996, 2670, 2112, 1997, 1996, 2047, 2088, 1012, 1999, 2060, 2616, 1010, 2430, 1998, 2148, 2637, 1012, 2542, 1999, 1996, 2642, 2112, 1997, 1996, 2214, 2088, 1012, 1999, 2060, 22104, 1010, 2885, 1998, 4021, 1998, 2642, 3088, 1012, 2402, 2024, 2141, 1999, 1037, 4659, 2104, 24844, 18349, 5669, 2110, 1025, 2027, 2024, 4039, 2000, 5438, 2030, 2729, 2005, 3209, 2030, 28046, 18938, 2063, 9174, 2005, 1037, 2558, 1997, 2051, 2044, 4182, 1013, 11300, 2075, 1012, 1999, 5055, 1010, 6248, 1998, 13346, 2044, 11300, 2075, 1012, 2383, 2303, 14991, 2107, 2008, 1996, 4111, 2064, 2022, 4055, 1999, 2028, 4946, 2046, 2048, 5259, 1011, 3746, 23672, 1012, 4176, 2007, 17758, 14991, 2031, 12759, 1998, 23420, 3903, 1010, 2004, 2092, 2004, 15099, 1998, 15219, 4515, 1012, 19962, 9331, 19506, 14536, 10536, 1997, 1996, 12170, 13806, 4360, 1012, 2179, 1999, 5780, 2752, 2090, 2382, 1998, 2871, 5445, 15250, 1010, 1999, 2752, 2007, 1037, 7095, 4785, 1012, 10072, 2003, 6817, 2011, 4832, 1997, 9742, 1010, 6714, 2100, 18812, 2007, 7823, 1006, 2524, 2030, 13844, 2100, 1007, 16899, 3727, 1012, 2089, 2022, 5224, 2011, 15861, 2543, 1012, 1999, 2148, 2637, 2009, 2950, 1996, 18157, 17338, 5524, 2090, 3224, 1998, 11498, 5302, 1012, 3594, 14747, 2030, 2060, 12141, 2000, 10639, 1999, 28858, 2659, 1006, 2625, 2084, 2382, 4642, 2566, 2095, 1007, 1998, 21446, 10101, 3463, 1999, 12793, 6817, 2011, 4264, 1998, 4176, 5967, 2000, 17511, 3012, 1012, 10072, 2003, 4050, 20288, 1010, 2295, 12656, 29037, 2089, 5258, 2206, 4542, 1012, 28858, 2064, 2022, 3147, 2030, 4010, 1998, 3679, 16868, 2015, 4050, 19857, 6593, 20598, 1012, 1999, 21643, 2752, 10072, 2003, 2036, 20288, 1998, 3785, 2024, 4318, 1012, 2023, 2003, 2138, 5472, 2515, 2025, 2907, 2300, 2092, 2061, 2210, 2003, 2800, 2000, 4264, 1012, 1999, 17746, 2379, 11915, 1998, 17401, 2023, 2003, 7328, 2098, 2011, 1996, 3747, 1997, 5474, 1999, 1996, 2250, 1998, 5800, 1012, 5474, 6537, 1996, 3754, 1997, 4264, 2000, 2202, 2039, 2300, 2083, 2037, 6147, 1012, 5464, 2291, 2030, 18082, 2075, 2344, 2426, 2372, 1997, 1037, 2146, 1011, 2744, 2591, 2177, 1010, 2073, 13811, 3570, 13531, 3229, 2000, 4219, 2030, 14711, 4176, 2008, 2224, 21453, 3973, 7013, 3684, 2000, 15176, 2303, 4860, 9174, 1997, 17093, 4860, 1012, 2203, 14573, 2121, 8029, 2003, 1037, 19962, 9331, 19506, 14536, 10536, 1997, 1996, 25476, 2401, 1010, 2348, 2009, 2089, 2031, 13368, 2078, 1999, 1037, 1006, 2085, 8548, 1007, 19962, 9331, 5332, 2094, 13032, 1025, 1996, 10725, 2501, 2515, 2025, 10782, 2122, 12020, 1012, 28314, 3372, 1999, 5055, 1012, 1037, 9415, 2008, 3640, 2119, 20435, 1998, 2943, 2000, 1037, 2542, 2518, 1012, 3224, 16012, 7834, 2024, 6817, 2011, 3628, 1010, 4728, 3224, 16012, 7834, 2064, 8137, 4235, 1999, 3815, 1997, 13511, 1998, 12348, 3012, 1012, 7727, 2000, 4111, 2427, 2008, 2031, 2042, 9687, 2000, 1998, 2511, 7080, 1999, 4655, 2648, 1997, 2037, 3019, 2846, 1010, 2788, 2083, 2529, 2895, 1012, 2383, 1996, 3977, 2000, 2693, 2013, 2028, 2173, 2000, 2178, 1012, 2023, 12350, 16012, 4168, 2950, 6465, 2015, 1997, 2152, 4020, 1010, 2593, 2302, 10072, 2030, 3139, 2011, 2659, 1010, 27112, 7265, 1011, 2066, 10072, 1012, 1996, 2181, 1999, 2029, 1996, 4111, 2003, 8100, 2179, 1010, 1996, 2555, 1999, 2029, 2009, 2003, 7320, 1012, 3470, 2008, 2024, 2025, 2112, 1997, 6803, 11142, 2752, 1010, 2027, 2024, 2025, 1010, 1998, 2031, 2196, 2042, 1010, 4198, 2000, 1037, 6803, 2455, 3742, 1010, 2087, 4050, 2122, 2024, 10942, 3470, 1012, 2179, 1999, 1996, 11481, 2555, 1997, 1996, 2088, 1012, 1999, 2060, 2616, 1010, 2634, 1998, 4643, 4021, 1012, 18157, 6138, 4503, 1999, 2752, 2008, 3325, 4318, 3692, 1012, 14627, 2008, 2950, 11566, 1996, 7403, 6691, 1997, 2048, 3633, 1010, 1037, 3287, 1998, 1037, 2931, 2028, 1997, 1996, 21024, 1006, 2788, 3767, 1007, 2038, 2569, 3558, 5090, 2109, 1999, 2457, 2075, 1996, 2060, 3348, 2030, 3554, 1996, 2168, 3348, 1012, 2005, 2742, 1024, 14405, 12910, 1010, 17876, 17448, 1010, 2569, 18205, 1012, 9228, 2007, 2500, 1997, 2049, 2427, 1025, 3596, 2591, 2967, 1012, 3594, 3543, 2000, 10639, 1037, 12350, 16012, 4168, 1012, 22323, 2015, 2024, 26183, 2007, 7932, 3265, 3628, 2008, 2079, 2025, 2433, 1037, 2701, 14582, 1012, 4866, 22323, 2015, 2024, 2179, 1999, 3033, 1997, 11935, 1998, 5133, 3088, 1998, 2148, 2637, 1010, 1998, 1999, 2660, 1012, 1037, 20331, 2007, 7932, 3628, 2030, 7932, 18856, 24237, 2015, 1997, 3628, 1010, 1037, 2828, 1997, 2451, 7783, 2090, 20331, 1998, 3224, 1012, 2156, 2036, 5133, 22323, 1998, 20331, 16012, 4168, 1012, 1037, 12350, 16012, 4168, 2179, 1999, 16868, 15250, 2015, 1006, 1028, 2603, 1012, 1019, 7737, 1050, 2030, 1055, 15250, 1007, 1012, 10072, 2003, 2081, 2039, 3262, 1997, 21620, 1010, 1996, 4578, 1998, 2427, 8906, 1997, 2029, 12530, 4321, 2006, 1996, 3815, 1997, 14098, 2800, 1012, 2543, 1998, 15400, 2024, 2590, 1999, 1996, 2146, 1011, 2744, 6032, 1997, 26183, 1012, 1000, 15910, 1997, 11468, 1000, 1006, 2006, 1011, 2240, 1007, 1012, 11570, 13323, 1012, 2403, 1010, 2639, 2012, 8299, 1024, 1013, 1013, 7473, 28332, 1012, 2019, 5244, 6895, 1012, 7929, 9153, 2618, 1012, 3968, 2226 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2043, 2016, 3427, 21862, 18277, 2004, 1037, 2775, 1010, 27596, 2632, 1053, 17190, 3089, 2001, 2383, 3904, 1997, 2009, 1012, 3652, 2039, 1999, 13085, 1010, 2000, 2156, 2242, 1997, 1037, 3226, 2016, 7843, 2108, 19112, 2011, 6373, 2001, 16360, 14774, 3372, 2000, 2014, 1012, 1523, 2009, 2001, 2019, 5424, 6925, 1010, 1524, 2016, 4136, 2033, 1010, 1523, 1998, 3810, 2009, 2046, 1037, 6373, 3185, 1045, 2179, 2428, 5805, 1012, 1045, 2001, 2066, 1010, 1005, 10166, 1010, 2023, 2003, 2003, 2061, 1010, 2061, 2137, 1998, 2061, 3308, 1012, 1005, 1996, 2069, 2839, 1045, 4669, 2001, 14855, 14971, 1010, 2138, 2002, 2001, 2785, 1997, 18783, 1012, 2002, 2071, 5791, 2022, 2066, 1010, 1037, 12700, 3560, 5637, 11125, 1012, 2021, 3071, 2842, 2001, 2025, 3100, 1012, 2926, 1996, 22519, 1012, 1524, 2008, 12532, 10087, 6593, 4247, 2000, 8572, 2014, 2651, 1010, 1998, 2839, 13087, 2014, 2834, 2201, 4021, 7315, 2818, 2005, 23760, 8566, 2497, 1010, 2019, 14822, 2000, 19432, 16523, 14428, 2004, 2172, 2004, 2009, 2003, 2019, 8993, 1997, 1996, 3971, 1999, 2029, 1996, 2530, 3742, 2865, 2839, 13087, 1516, 1998, 5698, 13087, 1516, 2859, 2083, 1037, 2275, 1997, 5107, 1998, 12728, 17366, 2738, 2084, 11973, 2007, 2049, 2381, 1998, 3226, 1012, 2632, 1053, 17190, 3089, 3728, 3427, 1037, 2978, 1997, 3959, 9316, 1521, 18577, 11865, 25462, 1010, 2005, 2742, 1012, 2074, 2066, 21862, 18277, 2077, 2009, 1010, 1523, 2009, 1521, 1055, 2437, 2023, 2801, 1997, 1037, 2822, 8391, 2046, 2019, 2137, 2028, 1012, 18577, 11865, 25462, 2515, 2025, 2031, 1037, 2822, 6180, 1010, 2002, 2038, 2019, 2137, 6180, 1012, 2009, 1521, 1055, 2074, 18398, 2637, 3031, 2859, 1012, 1524, 2043, 1045, 3712, 5051, 2014, 2013, 2014, 4545, 1999, 26366, 1010, 2016, 9530, 20740, 2015, 2008, 2016, 1521, 1055, 1523, 2428, 1010, 2428, 13233, 2041, 1524, 1516, 2021, 2025, 2138, 1997, 1996, 2201, 1012, 1996, 14978, 2003, 2138, 2016, 1521, 1055, 14743, 2039, 2014, 2173, 3201, 2000, 2693, 2041, 1998, 2778, 1012, 2043, 2009, 3310, 2000, 3331, 2055, 4021, 7315, 2818, 1010, 2295, 1010, 2016, 1521, 1055, 2035, 4010, 7239, 1010, 28667, 21723, 2075, 2014, 2219, 6322, 1997, 7344, 3370, 1998, 5915, 1011, 2543, 6971, 2000, 2477, 2008, 4427, 1996, 2501, 1006, 2426, 2060, 2477, 1010, 3653, 23194, 4430, 1010, 19117, 2891, 1010, 3203, 1998, 1996, 12517, 2361, 1010, 9745, 5321, 4802, 5622, 21790, 1998, 5752, 7104, 2143, 1996, 3585, 2775, 1007, 1012, 2031, 2017, 2042, 2000, 2859, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 1521, 2310, 2196, 2042, 2000, 2859, 1012, 2061, 2054, 2001, 2115, 2034, 8147, 2007, 2822, 3226, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 2514, 2066, 2026, 2034, 8147, 2007, 2822, 3226, 2001, 2593, 2083, 8840, 17791, 13281, 2030, 1037, 6373, 9476, 1010, 2028, 1997, 1996, 2048, 1012, 21385, 1010, 1045, 10587, 2360, 2763, 1006, 5870, 1007, 1005, 24494, 21354, 2015, 1005, 1012, 2017, 2113, 1010, 1045, 2514, 2066, 1005, 24494, 21354, 2015, 1005, 2003, 2066, 1996, 9530, 17421, 8585, 8078, 2822, 3538, 1997, 2189, 1012, 2130, 1996, 2516, 999, 2009, 1521, 1055, 2055, 4526, 2023, 2060, 1010, 2030, 2482, 5555, 16037, 1996, 2060, 1012, 2061, 2008, 1521, 1055, 2112, 1997, 2026, 5700, 5593, 5758, 1012, 2054, 2801, 2106, 2017, 2433, 1997, 2859, 2004, 1037, 2775, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 2179, 2013, 3752, 2137, 7298, 4385, 15141, 2050, 1010, 1996, 2773, 1005, 4750, 1005, 2001, 2200, 2844, 1012, 2061, 1045, 8078, 2009, 2000, 2022, 2023, 2200, 21657, 1010, 6102, 1011, 16348, 5957, 2073, 7955, 5078, 1996, 2168, 11018, 1010, 1998, 2018, 1037, 2200, 9384, 6939, 2078, 1998, 6134, 1998, 2126, 1997, 2166, 1012, 2028, 2518, 2008, 2018, 1037, 3622, 3747, 2006, 1996, 2501, 2001, 3203, 1998, 1996, 12517, 2361, 1516, 1005, 2057, 2024, 25583, 6810, 1010, 2065, 2017, 3531, 1005, 1516, 1998, 2008, 2001, 2763, 2028, 1997, 2026, 5700, 8092, 1012, 2859, 2038, 2042, 1010, 2083, 1996, 2159, 1997, 2061, 2116, 2367, 2530, 3152, 1998, 7298, 1998, 6399, 1010, 2081, 2046, 1037, 12700, 1012, 2009, 1521, 1055, 2055, 2108, 6086, 2000, 2023, 6533, 1010, 2023, 2146, 1011, 2744, 6533, 1997, 1037, 12700, 1012, 2054, 13977, 2115, 3037, 1999, 2437, 2023, 2201, 1516, 2106, 2017, 2468, 4699, 1999, 1996, 3226, 1997, 2859, 2993, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 2228, 1045, 2001, 4372, 7138, 6675, 1037, 2978, 2011, 2023, 2267, 2465, 2170, 2822, 3906, 1012, 2074, 4083, 1037, 2210, 2978, 2055, 2859, 1521, 1055, 4706, 2381, 2001, 2428, 3239, 1011, 3098, 1012, 2130, 2295, 2009, 2001, 1999, 5449, 1010, 2130, 2295, 2009, 2001, 4036, 1999, 2019, 2137, 2118, 2011, 2019, 2137, 2934, 1012, 1012, 1012, 1045, 2001, 15677, 2011, 2010, 4118, 1010, 2138, 2002, 2428, 12889, 2017, 1999, 3418, 2859, 1012, 2009, 2001, 2066, 7484, 4507, 4623, 2030, 2242, 1012, 1045, 2228, 2008, 2001, 1996, 2034, 1006, 2051, 1045, 2001, 1007, 9715, 1997, 2242, 2060, 2084, 1996, 2225, 4526, 1012, 2009, 1521, 1055, 2025, 2428, 2074, 2055, 2023, 9570, 1010, 2009, 1521, 1055, 2036, 2055, 4004, 17366, 1999, 2530, 2189, 1010, 2008, 2025, 1037, 2843, 1997, 2111, 2031, 20742, 1012, 2008, 2045, 2003, 1037, 20272, 1997, 4004, 17366, 1999, 9680, 1010, 11844, 2063, 1010, 1998, 1999, 2060, 11541, 1997, 2530, 2189, 2008, 2003, 2025, 2108, 5287, 2055, 2030, 6936, 1012, 2339, 2003, 2009, 2045, 1029, 2054, 2515, 2009, 3696, 8757, 1029, 2106, 2017, 3362, 2151, 7091, 2030, 7615, 2055, 2339, 2017, 2228, 2009, 1521, 1055, 2045, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 2228, 2005, 9680, 1010, 1998, 2005, 11844, 2063, 1010, 2009, 1521, 1055, 1999, 10288, 12412, 8231, 5799, 2000, 7761, 2396, 1012, 1045, 2514, 2066, 2045, 2003, 2023, 2785, 1997, 17418, 2007, 7761, 2396, 2011, 3056, 6443, 1998, 3056, 28257, 1010, 2138, 18577, 11865, 2003, 2464, 2004, 2023, 5760, 3218, 1010, 1998, 2003, 2036, 5186, 14818, 1012, 1998, 2009, 1521, 1055, 2055, 2373, 1516, 1045, 2228, 2009, 1521, 1055, 2055, 1996, 25192, 2667, 2000, 5114, 2373, 2011, 2478, 2122, 17366, 1012, 2054, 1521, 1055, 2115, 3276, 2007, 1996, 6907, 1997, 19432, 16523, 14428, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 2123, 1521, 1056, 2113, 2065, 1045, 2052, 2655, 2009, 1037, 6907, 1012, 2672, 1037, 4942, 6914, 2890, 2030, 2242, 1012, 2009, 2347, 1521, 1056, 1037, 2929, 1010, 2009, 2134, 1521, 1056, 2031, 1037, 2252, 2305, 2030, 2151, 1997, 2216, 2477, 1516, 2009, 2001, 1037, 10178, 1997, 11844, 2063, 2008, 2001, 4453, 1010, 2066, 1999, 1037, 5911, 1010, 2011, 12849, 3207, 2683, 1006, 11680, 1007, 1012, 2009, 1521, 1055, 2025, 1037, 9715, 2518, 1025, 2672, 8814, 1011, 9745, 6338, 2020, 1996, 2087, 9715, 1997, 2037, 2224, 1997, 4004, 17366, 1012, 1998, 2005, 6013, 1010, 2017, 2113, 19117, 2891, 1029, 2027, 2031, 1037, 2650, 2170, 1005, 22321, 1005, 1012, 2009, 2074, 3065, 2017, 2008, 2023, 3747, 1998, 2023, 16226, 1011, 2009, 1521, 1055, 2025, 1037, 9874, 1012, 2009, 1521, 1055, 2242, 2008, 2296, 4245, 2003, 5105, 2011, 1012, 1996, 2755, 2008, 11844, 2063, 2993, 2001, 1037, 2200, 14818, 6907, 1010, 2009, 2081, 3168, 2008, 4004, 17366, 2052, 2377, 1037, 2112, 1999, 2009, 1012, 2138, 2045, 1521, 1055, 2242, 26096, 12700, 3560, 1999, 1996, 2614, 1997, 11844, 2063, 1010, 2061, 2023, 12700, 3560, 4004, 2614, 2003, 6413, 1012, 2054, 1045, 1521, 2310, 2042, 6603, 2003, 1010, 1999, 2115, 2224, 1997, 2122, 17366, 1998, 4935, 2006, 2068, 1010, 2065, 2017, 1521, 1040, 5136, 2008, 2019, 14822, 2000, 2023, 9874, 1010, 2030, 1037, 21933, 23808, 6820, 7542, 1997, 2009, 1010, 2030, 2129, 2017, 2052, 4853, 2009, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 2035, 2026, 2636, 1516, 1045, 1521, 1049, 6069, 6773, 2068, 2007, 2028, 2502, 8248, 2157, 2085, 1516, 2024, 2019, 7613, 1997, 2019, 4493, 2801, 1012, 2019, 4493, 2189, 1012, 2021, 2009, 1521, 1055, 2074, 2026, 7613, 1012, 1998, 1045, 2228, 2005, 2023, 2501, 1010, 19432, 16523, 14428, 2001, 2028, 5783, 1997, 7780, 1010, 2021, 2009, 2001, 2428, 2055, 2478, 4556, 2822, 4623, 2004, 1037, 3978, 2013, 2029, 2000, 5495, 6150, 2015, 2362, 1012, 2138, 2000, 2033, 1010, 2008, 5836, 1996, 3418, 3969, 1997, 2859, 1012, 1045, 2514, 2066, 2070, 8519, 2064, 2191, 1037, 12654, 1997, 2054, 2009, 1521, 1055, 2066, 2045, 1006, 2085, 1007, 1010, 2021, 1045, 1521, 1049, 2025, 2028, 1997, 2216, 2111, 1012, 1045, 2876, 1521, 1056, 2215, 2000, 2191, 2151, 12720, 8635, 2055, 2859, 1010, 2138, 2859, 2003, 5294, 1516, 1998, 1045, 1521, 2310, 2196, 2042, 2045, 1012, 1045, 1521, 1049, 4526, 2242, 2241, 2006, 1037, 2530, 9570, 1012, 1045, 1521, 1049, 2478, 1037, 4507, 2580, 2011, 1037, 2512, 1011, 3128, 3120, 1012, 2445, 2054, 1037, 5294, 3395, 2009, 2003, 2017, 1521, 2128, 5059, 2013, 1010, 2129, 2106, 2017, 4088, 2008, 2832, 1010, 1998, 2129, 2106, 2017, 4867, 2009, 2091, 2000, 1996, 2892, 1011, 2930, 1997, 7604, 2008, 2017, 1521, 2310, 2288, 1999, 2045, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 2129, 1045, 2318, 1996, 2501, 2003, 1037, 2200, 3937, 2466, 1012, 1037, 2767, 1997, 3067, 1516, 2122, 3324, 1010, 17137, 25290, 20313, 1516, 2741, 2033, 2019, 9353, 24065, 4571, 2011, 6330, 19004, 1997, 1037, 14652, 2544, 1997, 1005, 2498, 22963, 1016, 1057, 1005, 2008, 2027, 2179, 2006, 7858, 1010, 1998, 2027, 2435, 2014, 2000, 2128, 1011, 2501, 1012, 2027, 2359, 1037, 10036, 2822, 6150, 1010, 2061, 2027, 2245, 1045, 2001, 2037, 2450, 999, 2021, 1045, 2612, 2081, 2242, 2008, 2027, 2641, 2000, 2022, 2205, 12138, 2005, 2037, 5682, 1012, 2008, 1521, 1055, 2054, 2428, 2318, 1996, 3608, 5291, 1012, 1998, 2059, 1045, 8687, 2135, 2179, 2122, 5878, 3784, 1012, 1012, 1012, 2009, 3047, 2200, 2855, 1012, 1045, 2680, 2471, 1996, 2972, 2201, 1999, 2028, 3204, 1012, 1045, 2001, 2428, 4427, 2011, 1996, 2801, 1997, 2478, 4004, 17366, 1012, 1045, 2134, 1521, 1056, 2130, 2031, 2051, 2000, 2228, 2055, 2009, 2428, 6171, 2127, 2009, 2001, 2589, 1012, 1998, 1996, 4623, 2008, 2017, 2109, 1010, 2001, 2008, 4623, 2008, 2017, 3273, 2067, 1999, 2267, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 2053, 1010, 2009, 2347, 1521, 1056, 1996, 4623, 2008, 1045, 3273, 1010, 2021, 2028, 1997, 1996, 9736, 1045, 2106, 2817, 1012, 5622, 21790, 2001, 1037, 3297, 9745, 5321, 4802, 1010, 1998, 2010, 5961, 2003, 2170, 12323, 5108, 20234, 1010, 2061, 2008, 1521, 1055, 2054, 1523, 12323, 5108, 1524, 2003, 2315, 2044, 1012, 2169, 1997, 1996, 3162, 1010, 2104, 1996, 12977, 1997, 1996, 2058, 2906, 8450, 4145, 1010, 2031, 2037, 2219, 7814, 2030, 2801, 1997, 2822, 3226, 2030, 19432, 16523, 14428, 2008, 2027, 3579, 2006, 1012, 2106, 2017, 2272, 2039, 2007, 1037, 4145, 2000, 3579, 2006, 2077, 2437, 2169, 2650, 1010, 2030, 2106, 2017, 2228, 2055, 2009, 5728, 1029, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 2134, 1521, 1056, 2130, 2113, 1996, 2744, 1005, 19432, 16523, 14428, 1005, 2127, 2044, 1996, 2501, 2001, 2736, 1012, 1005, 19432, 16523, 14428, 1005, 2004, 1037, 2773, 2134, 1521, 1056, 4839, 2000, 2033, 2096, 1045, 2001, 2437, 1996, 2501, 1012, 2021, 2028, 1997, 2026, 8837, 11844, 2063, 3162, 2003, 3653, 23194, 4430, 1521, 1055, 1005, 1996, 2502, 24185, 2243, 1005, 1011, 2009, 2234, 2041, 2006, 1996, 14017, 29422, 4958, 1999, 2249, 1012, 1045, 2228, 2008, 2001, 1996, 2087, 6383, 2650, 2877, 2039, 2000, 2023, 2501, 1012, 2044, 1996, 2501, 2001, 2736, 1010, 2026, 2190, 2767, 1010, 2040, 1521, 1055, 1999, 2925, 2829, 1010, 1046, 1011, 12731, 4095, 1010, 2741, 2033, 2023, 12849, 3207, 2683, 4666, 2170, 1005, 19432, 11844, 2063, 4666, 1005, 1012, 1998, 1045, 2001, 2066, 1010, 1005, 2821, 1010, 2008, 1521, 1055, 2054, 2009, 1521, 1055, 2170, 1012, 1005, 1045, 2018, 2196, 2657, 2008, 2773, 2077, 1012, 2000, 2202, 1005, 8814, 7847, 2290, 1005, 2005, 2742, 1010, 2009, 1521, 1055, 1037, 2200, 7761, 2840, 9391, 2650, 1025, 1045, 1521, 1049, 6603, 2065, 2017, 2938, 2091, 1998, 2245, 1005, 1045, 1521, 1049, 2183, 2000, 2191, 1037, 2650, 2008, 1521, 1055, 2019, 14822, 2000, 8814, 1011, 9745, 6338, 1998, 1996, 8814, 7847, 2290, 2555, 1010, 1005, 2030, 3251, 2017, 2081, 1996, 2650, 1998, 2059, 2245, 1996, 2614, 7130, 2008, 2801, 1012, 27596, 2632, 1053, 17190, 3089, 1024, 1045, 1521, 1049, 2025, 6069, 4682, 1010, 1045, 2467, 2191, 3162, 1998, 2059, 1996, 2801, 6433, 1012, 1996, 3538, 1997, 2189, 6433, 2034, 1012, 1045, 2123, 1521, 1056, 2066, 2000, 2228, 1516, 1045, 1521, 1049, 2025, 2008, 2785, 1997, 2711, 1010, 1045, 2123, 1521, 1056, 2228, 1005, 2023, 2650, 2003, 2183, 2000, 2614, 2023, 2126, 1005, 1516, 1045, 17727, 12298, 5562, 1010, 1998, 2059, 2009, 4150, 1037, 2650, 1012, 1045, 2123, 1521, 1056, 2066, 2000, 3653, 1011, 7861, 13876, 2505, 2096, 3015 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2007, 1996, 3180, 2161, 4566, 2651, 1010, 2009, 1005, 1055, 2051, 2000, 5630, 2029, 2136, 2000, 7117, 2005, 1999, 1996, 17525, 1012, 9374, 1012, 2009, 2180, 1005, 1056, 2022, 1996, 8350, 1012, 2130, 2007, 2019, 3176, 3748, 4003, 2136, 1999, 2169, 2223, 1010, 1037, 2843, 1997, 4599, 2041, 2180, 1005, 1056, 2031, 1037, 3899, 1999, 1996, 5690, 1010, 2029, 2003, 2073, 2026, 3296, 7117, 8010, 5950, 3310, 2046, 2377, 1012, 1996, 7117, 8010, 5950, 2003, 1037, 10480, 1010, 4045, 1998, 6766, 2375, 1011, 6226, 1011, 14223, 10903, 1997, 5876, 2107, 2004, 1024, 3692, 1997, 11865, 18724, 1010, 2088, 2186, 14734, 2015, 1010, 26854, 2946, 1010, 5622, 2912, 8553, 1997, 2867, 1010, 4748, 14028, 3012, 9462, 1010, 3006, 2946, 1998, 2536, 20014, 5654, 7028, 2015, 1012, 1006, 2019, 2742, 1997, 2019, 20014, 5654, 7028, 1024, 1000, 2027, 2024, 2025, 1996, 11081, 1012, 1000, 1007, 2182, 2024, 1996, 10385, 1010, 2013, 7290, 2000, 3284, 2006, 1996, 7117, 8010, 5950, 1024, 11081, 1012, 7117, 8010, 22035, 9515, 3372, 1024, 2184, 1012, 5187, 4013, 2015, 1024, 22564, 9711, 2052, 2633, 2131, 2000, 2377, 1999, 1037, 2088, 2186, 1012, 1998, 2009, 1005, 1055, 2042, 2093, 2878, 2086, 2144, 2047, 2259, 2197, 2209, 1999, 1037, 2088, 2186, 1012, 1006, 2064, 2017, 5674, 1996, 12812, 1010, 12469, 4599, 1029, 1007, 1998, 2092, 26114, 2213, 17012, 7382, 1045, 1005, 1049, 3241, 1010, 1045, 1005, 1049, 3241, 999, 9530, 2015, 1024, 2053, 2694, 7171, 1997, 8117, 2912, 5163, 2023, 2051, 1012, 9310, 1012, 28134, 1024, 2654, 1012, 3590, 4013, 2015, 1024, 2995, 1010, 2057, 1005, 2310, 2464, 1037, 2843, 1997, 1996, 9310, 1999, 1996, 2088, 2186, 1999, 1996, 2627, 5476, 1010, 2021, 2012, 2560, 2023, 2051, 2057, 2876, 1005, 1056, 2031, 2000, 4133, 2083, 4116, 2474, 18072, 2050, 1005, 1055, 10866, 14696, 3431, 1012, 1998, 2876, 1005, 1056, 2017, 2074, 2293, 2000, 2131, 2503, 4789, 16405, 5558, 4877, 1005, 2132, 2065, 2010, 4654, 1011, 13220, 3362, 1996, 2088, 2186, 2302, 2032, 2096, 2002, 15970, 2255, 2012, 2188, 1006, 2030, 2062, 3497, 1010, 2006, 2010, 2219, 2797, 2479, 1007, 1029, 9530, 2015, 1024, 2358, 1012, 3434, 4599, 2071, 2272, 2039, 2007, 1037, 8320, 16709, 2030, 1037, 11525, 16216, 15185, 4014, 2030, 1037, 17525, 13433, 4757, 2819, 1012, 7230, 1012, 28134, 1024, 6191, 1012, 6275, 4013, 2015, 1024, 2044, 27755, 2075, 2013, 2008, 9643, 2220, 2161, 1011, 4566, 3714, 4190, 2197, 2095, 1010, 18396, 13382, 2100, 17210, 2000, 2031, 2023, 12041, 1011, 15977, 2161, 3668, 2005, 2195, 4469, 3134, 1012, 4717, 11557, 2071, 5466, 1037, 2053, 1011, 18694, 1012, 1998, 1996, 7230, 2024, 4709, 2000, 2070, 4469, 8771, 2005, 13752, 2008, 7539, 1997, 2129, 2521, 2027, 5083, 1010, 11463, 4801, 9298, 24068, 2097, 5247, 1996, 2972, 17525, 2012, 2188, 3666, 2006, 2694, 1998, 9038, 3436, 2010, 3247, 2000, 21910, 1012, 1006, 2074, 2123, 1005, 1056, 5254, 21070, 9587, 2696, 1012, 1007, 9530, 2015, 1024, 2065, 1996, 7230, 2663, 2178, 2088, 2186, 1010, 5229, 3553, 4422, 4267, 2071, 2265, 2039, 2000, 1996, 3377, 7700, 1999, 5898, 15775, 4523, 1011, 1011, 1998, 2498, 2842, 1012, 13980, 1012, 28134, 1024, 3515, 1012, 6163, 4013, 2015, 1024, 2044, 2010, 2534, 1997, 4476, 2476, 1010, 9090, 4842, 17210, 2000, 2175, 2041, 1037, 3453, 1012, 4991, 15804, 2099, 19031, 19960, 7770, 2071, 2022, 1996, 2120, 2223, 1005, 1055, 2190, 8070, 2040, 8440, 1005, 1056, 6589, 4057, 11382, 17960, 2319, 16084, 2080, 2023, 2095, 1012, 2007, 2208, 1021, 1997, 1996, 2088, 2186, 5115, 2005, 2281, 1010, 2057, 2071, 2224, 1037, 2103, 2073, 2867, 2180, 1005, 1056, 2031, 2000, 4929, 10901, 1011, 14469, 2146, 14236, 1010, 8301, 15806, 1998, 11508, 26557, 2380, 3022, 1012, 1998, 2087, 14780, 1010, 5865, 4599, 10107, 1037, 2784, 17525, 2448, 2005, 4760, 2070, 2465, 1998, 2025, 1059, 20535, 3070, 2055, 2037, 2136, 1005, 1055, 8680, 7859, 2197, 2244, 1012, 1006, 2156, 1024, 2417, 9175, 4599, 1012, 1007, 9530, 2015, 1024, 2004, 2467, 1010, 1996, 3419, 23278, 26291, 24494, 1012, 7600, 1012, 28134, 1024, 6486, 1012, 4749, 4013, 2015, 1024, 5626, 4599, 10107, 2023, 2044, 1996, 2116, 7860, 1998, 14624, 2716, 2006, 2011, 1996, 2627, 5109, 1012, 1998, 1999, 2804, 2000, 1996, 7212, 1010, 1996, 2103, 2038, 16753, 5931, 3171, 2335, 2004, 2092, 1012, 5564, 1010, 1996, 7600, 4033, 1005, 1056, 2180, 1037, 2088, 2186, 2144, 3419, 5271, 11012, 2001, 4147, 1037, 5626, 6178, 1999, 18474, 1998, 3208, 3958, 25866, 3122, 2001, 2074, 1037, 2028, 1011, 5308, 1011, 1037, 1011, 2154, 3124, 1012, 2009, 2036, 2052, 2022, 5875, 2000, 2963, 22330, 2402, 16054, 6796, 2310, 18324, 2121, 4070, 2005, 2010, 2035, 1011, 2732, 2208, 2836, 1006, 2043, 2002, 2001, 2062, 4986, 2007, 7294, 2531, 2084, 2010, 7516, 1007, 2008, 3271, 3465, 1996, 2137, 2223, 2188, 1011, 2492, 5056, 1010, 2295, 2025, 2004, 5875, 2004, 3773, 3251, 8374, 9298, 24068, 4084, 2000, 1996, 5127, 4147, 1037, 9640, 10412, 2030, 2010, 6420, 4410, 1012, 9530, 2015, 1024, 10210, 2102, 19615, 2071, 2265, 2039, 2000, 2202, 4923, 2005, 5626, 1005, 1055, 27755, 2013, 2008, 13285, 1011, 3279, 2161, 1999, 2494, 1012, 12281, 1012, 28134, 1024, 6205, 1012, 2322, 4013, 2015, 1024, 7797, 4599, 10107, 2023, 1011, 1011, 1996, 12281, 4033, 1005, 1056, 2180, 1037, 17525, 2208, 2144, 8040, 12326, 5753, 2666, 1016, 2001, 2975, 10901, 1011, 14469, 2061, 27346, 18894, 2006, 1996, 2492, 1012, 15804, 2099, 12098, 11614, 2483, 11526, 11618, 2061, 2524, 1996, 3743, 6125, 1005, 2265, 5889, 2097, 3198, 2000, 4133, 1999, 1996, 3356, 5877, 2005, 2037, 12081, 10319, 3922, 2005, 3571, 1997, 2893, 2718, 1012, 1998, 12727, 6243, 2003, 1037, 2307, 3208, 2040, 17210, 2000, 2663, 1037, 2088, 2528, 2000, 4223, 2035, 1996, 4401, 2040, 7499, 2032, 2005, 1996, 2494, 12469, 17953, 6169, 7859, 2738, 2084, 1010, 2066, 1010, 1996, 2867, 2040, 3402, 2165, 1996, 2492, 2007, 2037, 2398, 2105, 2037, 3759, 2015, 1012, 9530, 2015, 1024, 6969, 3123, 2052, 2763, 3426, 1037, 9446, 2011, 19244, 2114, 1996, 12281, 1012, 7181, 1012, 28134, 1024, 6205, 1012, 5345, 4013, 2015, 1024, 3146, 2428, 17210, 2000, 2663, 2044, 3974, 1996, 2627, 2048, 2088, 2186, 1010, 2164, 2197, 2095, 1005, 1055, 27724, 2121, 2043, 2009, 3807, 2001, 2306, 2028, 2041, 1997, 3045, 2009, 2035, 1012, 1998, 2025, 2069, 2052, 2057, 2131, 2000, 2156, 9805, 18243, 24968, 2006, 2019, 2248, 2754, 1010, 2057, 2052, 2471, 5121, 2131, 2000, 2156, 13401, 4575, 2006, 1996, 12048, 2153, 2005, 2178, 2034, 6510, 1012, 1006, 1045, 2228, 2002, 1005, 1055, 6908, 2061, 2116, 2034, 19299, 1010, 1996, 10342, 2052, 3844, 2032, 2091, 1012, 1007, 4606, 1010, 1996, 7181, 2342, 2000, 2663, 1996, 2088, 2186, 2077, 5622, 1005, 1048, 9378, 2003, 12283, 2084, 2502, 9378, 1012, 1006, 2004, 2009, 2003, 1010, 1045, 2228, 5622, 1005, 1048, 9378, 2089, 2525, 2022, 1037, 10452, 2012, 3146, 2023, 2991, 1012, 1007, 9530, 2015, 1024, 2096, 1037, 4010, 4633, 2609, 2003, 16004, 1010, 2397, 2088, 2186, 2399, 2071, 2486, 6498, 5226, 2000, 2202, 4469, 24689, 7959, 3170, 2000, 2994, 8300, 1010, 2029, 2071, 5478, 2032, 2000, 2202, 1037, 3773, 1011, 3239, 3899, 2046, 1996, 23801, 1005, 1055, 3482, 1012, 18893, 1012, 28134, 1024, 6365, 1012, 4601, 4013, 2015, 1024, 2879, 1010, 2079, 6222, 4599, 10107, 2023, 1011, 1011, 1996, 18893, 4033, 1005, 1056, 2042, 2000, 1996, 17525, 2144, 10250, 10973, 7520, 3781, 1012, 1005, 1055, 2652, 9039, 1998, 2010, 2606, 4179, 2020, 2145, 10109, 1012, 1996, 1051, 1005, 1055, 2036, 2024, 2746, 2125, 1037, 2146, 7683, 1011, 1011, 2176, 5486, 2197, 1011, 2173, 3692, 1998, 2403, 5486, 3974, 3692, 1011, 1011, 2061, 18704, 1998, 9643, 2009, 2001, 11007, 1997, 2019, 2972, 2161, 1997, 1000, 1996, 7318, 1012, 1000, 4606, 1010, 2057, 2052, 2131, 2000, 2156, 1037, 2853, 1011, 2041, 13267, 4210, 1010, 2188, 2000, 2061, 2172, 2397, 1011, 12994, 3894, 2023, 2161, 2008, 2076, 3653, 16650, 25795, 1010, 1996, 18893, 1005, 3225, 10515, 2323, 3328, 2041, 1997, 1037, 9781, 3790, 2612, 1997, 1996, 8655, 5833, 1012, 9530, 2015, 1024, 1996, 18893, 2453, 2941, 4929, 2216, 9643, 3598, 9700, 2007, 1996, 2317, 2392, 9320, 1010, 2029, 2052, 2022, 1996, 4602, 2088, 2186, 9446, 2144, 1996, 4529, 2317, 9175, 1012, 6482, 1012, 28134, 1024, 5818, 1012, 3963, 4013, 2015, 1024, 3208, 3960, 20993, 1010, 14696, 2873, 20099, 2402, 1998, 9640, 2873, 20238, 4482, 10107, 12111, 3786, 9031, 2005, 2551, 17861, 2007, 1037, 9238, 1997, 3415, 1996, 10017, 5470, 2453, 6707, 2005, 1996, 3459, 1997, 1000, 18874, 1012, 1000, 1045, 2812, 1010, 2027, 2031, 2019, 2035, 1011, 8305, 3225, 9963, 1998, 2037, 26854, 2003, 2625, 2084, 1996, 11081, 5955, 1996, 2447, 5581, 2843, 27238, 2015, 1012, 2005, 6933, 2041, 5189, 1010, 8305, 8070, 5977, 20160, 15909, 9286, 2001, 1037, 3576, 2223, 2034, 18038, 2197, 2095, 1012, 1998, 2298, 2012, 2009, 2023, 2126, 1024, 1996, 8736, 1996, 6482, 5083, 1010, 1996, 2062, 1056, 28394, 3215, 2057, 2131, 2013, 8825, 12584, 1012, 9530, 2015, 1024, 2065, 9182, 5222, 1010, 5365, 2097, 2022, 16312, 2000, 2191, 1037, 4248, 2666, 8297, 2000, 1000, 2769, 7384, 1010, 1000, 2069, 2023, 2051, 2007, 4205, 5472, 3917, 2004, 5006, 14068, 2063, 1012, 10342, 1012, 28134, 1024, 2531, 1012, 5709, 4013, 2015, 1024, 12469, 4599, 2228, 2027, 1005, 2310, 2908, 1037, 2146, 2051, 2144, 1996, 2088, 2186, 1029, 2899, 8440, 1005, 1056, 2464, 1996, 17525, 2144, 4537, 1011, 1011, 1042, 13626, 1005, 1055, 2034, 2095, 1999, 2436, 1006, 1998, 6175, 9587, 10532, 1005, 1055, 8305, 2161, 1007, 1012, 2023, 2003, 1996, 2034, 3045, 2161, 2005, 1037, 2899, 2136, 2144, 1996, 3440, 10153, 2043, 6945, 3766, 2001, 3208, 1012, 2006, 1037, 10904, 2402, 2136, 1010, 8790, 8305, 19757, 8500, 1005, 1055, 3739, 1999, 1996, 2088, 2186, 2052, 11302, 3598, 2471, 2004, 2172, 2813, 1011, 2000, 1011, 2813, 1010, 2484, 1013, 1021, 2865, 3086, 2004, 1037, 6110, 25416, 1999, 2019, 5088, 3180, 1011, 2161, 2208, 1012, 1998, 1996, 10342, 1005, 2825, 23160, 1011, 2000, 1011, 29008, 12312, 2003, 1996, 2034, 2466, 2746, 2041, 1997, 1040, 1012, 1039, 1012, 2008, 2130, 10643, 1998, 8037, 2064, 5993, 2006, 1998, 8320, 2369, 1012, 1006, 2295, 2008, 1005, 1055, 2763, 2205, 2172, 2000, 3198, 1997, 4419, 2739, 1998, 5796, 28957, 1012, 1007, 9530, 2015, 1024, 1996, 8736, 1996, 10342, 5083, 1010, 1996, 2062, 3441, 2057, 2097, 2031, 2000, 3191, 2055, 3251, 2027, 2323, 2031, 3844, 2091, 4459, 2358, 8180, 4645, 1012, 1998, 2065, 1996, 10342, 3362, 1996, 2088, 2186, 1010, 5548, 16258, 2015, 4599, 2097, 2031, 1037, 2146, 1010, 2146, 3467, 2000, 2228, 2055, 2054, 2071, 2031, 2042, 1012, 22174, 1024, 3482, 3556, 2169, 2733, 1010, 1045, 3073, 1037, 15778, 2013, 2019, 2214, 3482, 3556, 1998, 4119, 2017, 2000, 5646, 2054, 2208, 2009, 2003, 2013, 1998, 2339, 2009, 1005, 1055, 3278, 1012, 1045, 2507, 2023, 2028, 1037, 7669, 5790, 1997, 1020, 1012, 3437, 2917, 1024, 3598, 4003, 1997, 1996, 2733, 3491, 2182, 6886, 1996, 2069, 2531, 1011, 5601, 12313, 1999, 2381, 1006, 2960, 3356, 5877, 2053, 1012, 6255, 2549, 1007, 1010, 13401, 4575, 2038, 5621, 2081, 3146, 1037, 2048, 1011, 4368, 2110, 1012, 3482, 3556, 2240, 1997, 1996, 2733, 9925, 3016, 1005, 1055, 2508, 11824, 2018, 1037, 8235, 2208, 1999, 1037, 3974, 3947, 9857, 1006, 1023, 12997, 1010, 1016, 1044, 1010, 1015, 1054, 1010, 1015, 9413, 1010, 1014, 22861, 1010, 2321, 1047, 1007, 1012, 4445, 5395, 1005, 1055, 9158, 19557, 2094, 1006, 1015, 12997, 1010, 1014, 1044, 1010, 1015, 1054, 1010, 1015, 9413, 1010, 1015, 22861, 1010, 1016, 1047, 1007, 4496, 5135, 1005, 1055, 5212, 2139, 27584, 2080, 1006, 1015, 1016, 1013, 1017, 12997, 1010, 1014, 1044, 1010, 1014, 1054, 1010, 1014, 9413, 1010, 1016, 22861, 1010, 1016, 1047, 1007, 3039, 1037, 2718, 1999, 2037, 4627, 2197, 2733, 1012, 1998, 1997, 2607, 1010, 7797, 11753, 11525, 8925, 4711, 1037, 2261, 2062, 2718, 3238, 7202, 5958, 2084, 2216, 2048, 2106, 1006, 1023, 12997, 1010, 1014, 1044, 1010, 1014, 1054, 1010, 1014, 9413, 1010, 1015, 22861, 1010, 2184, 1047, 1007, 1012, 2085, 1010, 1037, 2053, 1011, 18694, 5373, 2052, 2663, 2023, 2400, 1025, 2021, 1999, 1037, 2161, 2043, 2045, 2020, 2698, 2053, 1011, 16839, 1010, 8925, 2074, 12386, 2041, 2000, 2619, 3005, 3482, 3556, 2240, 2001, 2274, 2086, 1999, 1996, 2437, 1012, 2008, 2052, 2022, 4205, 24190, 1010, 2040, 2001, 2718, 2011, 1037, 6510, 2274, 2086, 3283, 1999, 2010, 2034, 1998, 2069, 2350, 2223, 5127, 3311, 3025, 2000, 9857, 2305, 1012, 2059, 1996, 27055, 2772, 2032, 2000, 1037, 2028, 1011, 2154, 3206, 1998, 2002, 2633, 2288, 2019, 2880, 2012, 1011, 7151, 1012, 1998, 2002, 4930, 2041, 2006, 2093, 19299, 1012, 2010, 2240, 1024, 1015, 11113, 1010, 1014, 1044, 1010, 1014, 1054, 1010, 1014, 16929 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14521, 1010, 18712, 1012, 1011, 1996, 7600, 1998, 3203, 7600, 2275, 1996, 2650, 2006, 2543, 1999, 4465, 1005, 1055, 9599, 2012, 1996, 2262, 8252, 3034, 7169, 2650, 1004, 2492, 3219, 2096, 11566, 2005, 2416, 2724, 4486, 2006, 1996, 2345, 2154, 1997, 2971, 2012, 1996, 17490, 3334, 2492, 2160, 2006, 1996, 3721, 1997, 1996, 2118, 1997, 5612, 1012, 2176, 3203, 7600, 2020, 10249, 10819, 7169, 3966, 1999, 2037, 3265, 2824, 2006, 4465, 5027, 2004, 3026, 9423, 3656, 1006, 4278, 5563, 1007, 1010, 3502, 23729, 2078, 7343, 1006, 3263, 5563, 1007, 1010, 3502, 25869, 11474, 2970, 3240, 1006, 5385, 5563, 1007, 1998, 13758, 14855, 6491, 2378, 2358, 25114, 2015, 1006, 3438, 18608, 1007, 3687, 2751, 6665, 2007, 2037, 2836, 1012, 1996, 7600, 1998, 3203, 7600, 5121, 2187, 2037, 2928, 2006, 2023, 2095, 1005, 1055, 10819, 7169, 3219, 1999, 1996, 2751, 3101, 11740, 1997, 1018, 2595, 29537, 1011, 8316, 8846, 4486, 1999, 4465, 1005, 1055, 9599, 2012, 1996, 17490, 3334, 2492, 2160, 1012, 1996, 3203, 7600, 11968, 8485, 2098, 2037, 2274, 10819, 2724, 3219, 2046, 1037, 2117, 1011, 2173, 3926, 1999, 1996, 2345, 2136, 11869, 2044, 4577, 11518, 2685, 1999, 2093, 2420, 1997, 2971, 1012, 3516, 4110, 1996, 2308, 1005, 1055, 2136, 2516, 2012, 2023, 2095, 1005, 1055, 10819, 7169, 3113, 2007, 2049, 14078, 2685, 1010, 2628, 2011, 6751, 1006, 5585, 1007, 1999, 2353, 2173, 1010, 5298, 1006, 6273, 1007, 1999, 2959, 2173, 1998, 4108, 1006, 4720, 1007, 1999, 3587, 2173, 1999, 1996, 2308, 1005, 1055, 2136, 11869, 1012, 1996, 7600, 2736, 1999, 2959, 2173, 3452, 1999, 1996, 2345, 2273, 1005, 1055, 2136, 11869, 2007, 2037, 2561, 1997, 6273, 1012, 1019, 2685, 1999, 1996, 2971, 1012, 6751, 14513, 2098, 2039, 16528, 2685, 1999, 2093, 2420, 1997, 2971, 2000, 2202, 2188, 1996, 2136, 2516, 2058, 3516, 1006, 14989, 1007, 1999, 2117, 2173, 1010, 4108, 1006, 5594, 1012, 1019, 1007, 1999, 2353, 2173, 1998, 12704, 1006, 5179, 1007, 1999, 3587, 2173, 1012, 1000, 2023, 2003, 1037, 6975, 2650, 3113, 1012, 2008, 1005, 1055, 2054, 2057, 5987, 2005, 1996, 10819, 3113, 1010, 1000, 2056, 21849, 2132, 2873, 6877, 27545, 2099, 1012, 1000, 1045, 1005, 1049, 7098, 1997, 2256, 7576, 1999, 1996, 2126, 2027, 3879, 2651, 1012, 2057, 2428, 2404, 9731, 1999, 1037, 2488, 2597, 2000, 5566, 2012, 1996, 5803, 3219, 2007, 2070, 1997, 1996, 4616, 2057, 2387, 2651, 1012, 1000, 2119, 7343, 1998, 2358, 25114, 2015, 7732, 2039, 1999, 2528, 4399, 2006, 4465, 5027, 2559, 2000, 6985, 2169, 1997, 2037, 10819, 7169, 4486, 2180, 2012, 6751, 1005, 14566, 2389, 19356, 2650, 2415, 1037, 2161, 3283, 1012, 2358, 25114, 2015, 2001, 1996, 2034, 2000, 2202, 2000, 1996, 2650, 2005, 1996, 2345, 1997, 1996, 2308, 1005, 1055, 3438, 1011, 8316, 18608, 2007, 1996, 2327, 3653, 17960, 2051, 2525, 2104, 2014, 5583, 2044, 2770, 1022, 1012, 2260, 3823, 1999, 5095, 1005, 1055, 6042, 2461, 1012, 1998, 2004, 2016, 2106, 2004, 1037, 10452, 1037, 2095, 3283, 1010, 2358, 25114, 2015, 8682, 2185, 1996, 2492, 1999, 2023, 2095, 1005, 1055, 10819, 7169, 2345, 2007, 1037, 12348, 1011, 2190, 1998, 3167, 1011, 2190, 2051, 1997, 1022, 1012, 6021, 2000, 2663, 2014, 2117, 2223, 2528, 1999, 1996, 3438, 18608, 1999, 2004, 2116, 3692, 2004, 1037, 3203, 6816, 1012, 2016, 2036, 5024, 7810, 2014, 5891, 2004, 1037, 2120, 2516, 20127, 1999, 2262, 2004, 2016, 5119, 2098, 1996, 2053, 1012, 1018, 1011, 4396, 2051, 1999, 1996, 5803, 10385, 2006, 1996, 3049, 1012, 2016, 2036, 2333, 2046, 1996, 2053, 1012, 1019, 3962, 2006, 21849, 1005, 1055, 2035, 1011, 2051, 7169, 2836, 2862, 1999, 1996, 3438, 1011, 8316, 18608, 1012, 2358, 25114, 2015, 2736, 2092, 3805, 1997, 1996, 1022, 1012, 2340, 2448, 2011, 2148, 3792, 1005, 1055, 10819, 7169, 5479, 1011, 2039, 11382, 28849, 10272, 4244, 1012, 1999, 2804, 1010, 3203, 6816, 3502, 8683, 21128, 2534, 2794, 2416, 2685, 2000, 21849, 1005, 1055, 2136, 2561, 2004, 2016, 10909, 2014, 3167, 2501, 2007, 1037, 2051, 1997, 1022, 1012, 2321, 2000, 3926, 2004, 2023, 2095, 1005, 1055, 10819, 7169, 4421, 12968, 1012, 2534, 2036, 2404, 2841, 1999, 1037, 2597, 2000, 5050, 1996, 3203, 7600, 2012, 1996, 5803, 7169, 3219, 2004, 2014, 1022, 1012, 2321, 5119, 2075, 2003, 5079, 2005, 1996, 2053, 1012, 1021, 1011, 4396, 2836, 1999, 1996, 5803, 2005, 1996, 2262, 2161, 1012, 1000, 2873, 27545, 2099, 1998, 1045, 2031, 2428, 2042, 2551, 2006, 2026, 2707, 2076, 3218, 1012, 2008, 2001, 1037, 3145, 6922, 2005, 2023, 2679, 2651, 1010, 1000, 2358, 25114, 2015, 2056, 1012, 1000, 1045, 2018, 1037, 11519, 2707, 1012, 2009, 2347, 1005, 1056, 1996, 2190, 1010, 2021, 2009, 1005, 1055, 2488, 2084, 2054, 1045, 1005, 2310, 2018, 1999, 2026, 3025, 3837, 1012, 2008, 2428, 3271, 2033, 2247, 1999, 1996, 2679, 1012, 1045, 1005, 1049, 2074, 7568, 2000, 2663, 1012, 1000, 1999, 2054, 2038, 2855, 2468, 2014, 8085, 2724, 2004, 1996, 3842, 1005, 1055, 4239, 19938, 1999, 2267, 2650, 1998, 2492, 1010, 7343, 2506, 2014, 13811, 1999, 1996, 3263, 1011, 8316, 11454, 4465, 2011, 6984, 2014, 10819, 7169, 4410, 2007, 1037, 12348, 1011, 2190, 2836, 2096, 14889, 2039, 2014, 3962, 1999, 1996, 5803, 3219, 1012, 2096, 14834, 2039, 1999, 1996, 2117, 2930, 1010, 7343, 2165, 2491, 1997, 1996, 2679, 2220, 1998, 2196, 2246, 2067, 2004, 2016, 2701, 2007, 1037, 12348, 1011, 2190, 2051, 1997, 2603, 1012, 5718, 2000, 2663, 2014, 2117, 1011, 3442, 10819, 7169, 3263, 1011, 8316, 2528, 1998, 4366, 2014, 6122, 1011, 3442, 4399, 3377, 1999, 1996, 2724, 2114, 9234, 2971, 1012, 21849, 3195, 1037, 2561, 1997, 2321, 2685, 1999, 1996, 2724, 2004, 3656, 2628, 1999, 2959, 2173, 2007, 1037, 2051, 1997, 2603, 1012, 6282, 1012, 7343, 3786, 12704, 1005, 1055, 11928, 7367, 2140, 17789, 1006, 2603, 1012, 2321, 1007, 2000, 1996, 3926, 2240, 1999, 1996, 3263, 1011, 8316, 11454, 2345, 2000, 5425, 1996, 6286, 10819, 7169, 2516, 2011, 1037, 3203, 6816, 1999, 1996, 2724, 1999, 1996, 3113, 1005, 1055, 2381, 1012, 1996, 16323, 5803, 7169, 3410, 1999, 1996, 3263, 1011, 8316, 11454, 2036, 3687, 2014, 2034, 2476, 2035, 1011, 10819, 3932, 1999, 1996, 3438, 1011, 8316, 11454, 2006, 1996, 2345, 2154, 1997, 2971, 2004, 2016, 5119, 2098, 1021, 1012, 2654, 2000, 3913, 4366, 2000, 1037, 2117, 1011, 2173, 3926, 2369, 7367, 2140, 17789, 1005, 1055, 3045, 2051, 1997, 1021, 1012, 2322, 1999, 1996, 2724, 1012, 3203, 6816, 3502, 2202, 2401, 9231, 3600, 5420, 5119, 2098, 1021, 1012, 4464, 1999, 1996, 2345, 2000, 5587, 2176, 2685, 2000, 21849, 1005, 1055, 2136, 2561, 2007, 2014, 3587, 1011, 2173, 3926, 1999, 1996, 3438, 1011, 8316, 11454, 1012, 1000, 2044, 1996, 3438, 1010, 1045, 2074, 2018, 2000, 2272, 2067, 1998, 2131, 2026, 2568, 2157, 2005, 1996, 3263, 1010, 1000, 7343, 2056, 1012, 1000, 1045, 2354, 1045, 2074, 2018, 2000, 2131, 2041, 1998, 3926, 2012, 1996, 2240, 1012, 2009, 1005, 1055, 2026, 2034, 2051, 2770, 2006, 1037, 2650, 2066, 2023, 1010, 2061, 2009, 1005, 1055, 2579, 2070, 2051, 2000, 2175, 2041, 2045, 1998, 2131, 6625, 1012, 1045, 2106, 2054, 1045, 2018, 2000, 2079, 2000, 2131, 1996, 2663, 2651, 1012, 1000, 2096, 7343, 1998, 2358, 25114, 2015, 2169, 8047, 2037, 10819, 4486, 2013, 1037, 2161, 3283, 1010, 2119, 3656, 1998, 2970, 3240, 2020, 10249, 3034, 3966, 2005, 1996, 2034, 2051, 1999, 2037, 9234, 10922, 2006, 4465, 1012, 3656, 4660, 1996, 3160, 2004, 2000, 2040, 2052, 12636, 2004, 1996, 10819, 1005, 1055, 4239, 4284, 4328, 3917, 2007, 2014, 2448, 1999, 1996, 2345, 1997, 1996, 4278, 1011, 8316, 11454, 2004, 2016, 5119, 2098, 1037, 3045, 2051, 1997, 4720, 1012, 6255, 2000, 2663, 1996, 2034, 3684, 1998, 10236, 2039, 1996, 2516, 3805, 1997, 1996, 2448, 1997, 4720, 1012, 6205, 2011, 3516, 1005, 1055, 17595, 2666, 1059, 16584, 15166, 2099, 1999, 3045, 1996, 2117, 2930, 1012, 3203, 6816, 3026, 15609, 9902, 1006, 5187, 1012, 2385, 1007, 2794, 2093, 2685, 2007, 2014, 4369, 1011, 2173, 3926, 1999, 1996, 2724, 1012, 3656, 5941, 2019, 2809, 1011, 2095, 14734, 1999, 3352, 1996, 2034, 3203, 6816, 2000, 2663, 1996, 2308, 1005, 1055, 4278, 1011, 8316, 2516, 2012, 1996, 10819, 7169, 3219, 2144, 1996, 2307, 14015, 11639, 20588, 2180, 2067, 1011, 2000, 1011, 2067, 7169, 24364, 1999, 2494, 1998, 2432, 1012, 2016, 2003, 2085, 1996, 5066, 3203, 6816, 2000, 2202, 1996, 2516, 1999, 2565, 2381, 1012, 2066, 3656, 1010, 2970, 3240, 2180, 2014, 2034, 2476, 10819, 2528, 2076, 4465, 1005, 1055, 9599, 2096, 10201, 4366, 2000, 1996, 5385, 1011, 8316, 4410, 1999, 1037, 21949, 2836, 1999, 1996, 2345, 1012, 2970, 3240, 13647, 2841, 2013, 1996, 3282, 1998, 2736, 1996, 2431, 3542, 2679, 1999, 2014, 2051, 1997, 1016, 2781, 1010, 1019, 1012, 4583, 3823, 2000, 20010, 8093, 5643, 1996, 6984, 10819, 7169, 3410, 1999, 5298, 3026, 3233, 5833, 9212, 14774, 3976, 1006, 1016, 1024, 5757, 1012, 3429, 1007, 2011, 3053, 2028, 2440, 2117, 1012, 1996, 3203, 7600, 2031, 2085, 2180, 2416, 10819, 7169, 4486, 1999, 1996, 5385, 5563, 2035, 1011, 2051, 2004, 2970, 3240, 2003, 1996, 2034, 2000, 2079, 2061, 2144, 2067, 1011, 2000, 1011, 2067, 5222, 2011, 2474, 2696, 9035, 2726, 1999, 2289, 1998, 2263, 1012, 1996, 3203, 7600, 2059, 5058, 2039, 1996, 3113, 2007, 1037, 3587, 2724, 2528, 2044, 7414, 1996, 1018, 2595, 29537, 1011, 8316, 8846, 2516, 1999, 6918, 4827, 1999, 1996, 2345, 2724, 1997, 1996, 2971, 1012, 2096, 2770, 2007, 1037, 4686, 1997, 9902, 1010, 7343, 1010, 3502, 9033, 22367, 2050, 7253, 1998, 3026, 6285, 7413, 2154, 1010, 21849, 5119, 2098, 1037, 3045, 2051, 1997, 1017, 1024, 4090, 1012, 6185, 2000, 3786, 3516, 1006, 1017, 1024, 4090, 1012, 6021, 1007, 1999, 1037, 6302, 3926, 1012, 2027, 4110, 2037, 2034, 8846, 2516, 2012, 1996, 10819, 7169, 3219, 2144, 2263, 1998, 2037, 5940, 2516, 1999, 1996, 2724, 1999, 2528, 2381, 1012, 1999, 2804, 1010, 13758, 9399, 7556, 15091, 2015, 2180, 1037, 4421, 3101, 2006, 1996, 5027, 2007, 1037, 2353, 1011, 2173, 3926, 1999, 1996, 2308, 1005, 1055, 6420, 5376, 2004, 2016, 3053, 10349, 2014, 6480, 2190, 2007, 1037, 2327, 2928, 1997, 4413, 2519, 1010, 1016, 1091, 5282, 1012, 1000, 2057, 2428, 3271, 9731, 2006, 1996, 2308, 1005, 1055, 2217, 1999, 3408, 1997, 5128, 9731, 1999, 1037, 2597, 2000, 5566, 2012, 1996, 5803, 3219, 1010, 1000, 27545, 2099, 2056, 1012, 1000, 1045, 1005, 1049, 7568, 2005, 1996, 4495, 2057, 2031, 1999, 2048, 3134, 2000, 2428, 2175, 2041, 1998, 5566, 2005, 1037, 2120, 2528, 1012, 2009, 1005, 1055, 2054, 2057, 2147, 2646, 2035, 2095, 2146, 1012, 1000, 1996, 7600, 2949, 21849, 1005, 1055, 8846, 11740, 2007, 2037, 2663, 1999, 1996, 2273, 1005, 1055, 1018, 2595, 29537, 1011, 8316, 8846, 4399, 2044, 3026, 3145, 2705, 4206, 3240, 1010, 3026, 15544, 5484, 1044, 8516, 2669, 1010, 3026, 4748, 2063, 8975, 2638, 1011, 24898, 1998, 3502, 10185, 3766, 5119, 2098, 1037, 2051, 1997, 1017, 1024, 5757, 1012, 4466, 2000, 2202, 1996, 3034, 2516, 3805, 1997, 4108, 1006, 1017, 1024, 5757, 1012, 5989, 1007, 1998, 6751, 1006, 1017, 1024, 5511, 1012, 2538, 1007, 1012, 3766, 2001, 2770, 2353, 1999, 1996, 2679, 2044, 2635, 1996, 6293, 2013, 8975, 2638, 1011, 24898, 2006, 1996, 8133, 4190, 1012, 1998, 2002, 4741, 19080, 2369, 4108, 1005, 1055, 17153, 6657, 5623, 1998, 6751, 1005, 29318, 9152, 4183, 2004, 2027, 8352, 1996, 2345, 2735, 1012, 3766, 8255, 2105, 9152, 4183, 2006, 1996, 2735, 1998, 25156, 2627, 5623, 2006, 1996, 5014, 7913, 10649, 2077, 4566, 1996, 2679, 2007, 1037, 3045, 2051, 1997, 1017, 1024, 5757, 1012, 4466, 3805, 1997, 2119, 4108, 1998, 6751, 2005, 1996, 2528, 1012, 1996, 4686, 5941, 1037, 2416, 1011, 2095, 14734, 2007, 2049, 2034, 10819, 7169, 4410, 1999, 1996, 3542, 8846, 2144, 2294, 1010, 1998, 2049, 6619, 2663, 1999, 1996, 2724, 2035, 1011, 2051, 2012, 1996, 7169, 3034, 2528, 1012, 2119, 3766, 1998, 1044, 8516, 2669, 2036, 2081, 2019, 3311, 1999, 1996, 2273, 1005, 1055, 4278, 1011, 8316, 2345, 2006, 4465, 5027, 1010, 2004, 2027, 4117, 2005, 2019, 8052, 2184, 2685, 1999, 1996, 2724, 1012, 3766, 2180, 1996, 4421, 3101, 2007, 2010, 5119, 2075, 1997, 4805, 1012, 4413, 2008, 2180, 1996, 2034, 3684, 1998, 2736, 1999, 2353, 2173, 3452, 1012, 1044, 8516, 2669, 3030, 1996, 5119, 1999, 4805, 1012, 6191, 1999, 2010, 3587, 1011, 2173, 3452, 2044, 2635, 2353, 2173, 2369, 3766, 1999, 1996, 2034, 3684, 1012, 2048, 7600, 5632, 2035, 1011, 10819, 4616, 2007, 5479, 1011, 2039, 12321, 1999, 2037, 2824, 1010, 2004, 3026, 18712, 4948, 1038, 25122, 3195, 2809, 2685, 2007, 1037, 3165, 1011, 3101, 3045, 3947, 1999, 1996, 6420, 5376, 1998, 10452, 7158, 8471, 2794, 2809, 2685, 1997, 2010, 2219, 2007, 1037, 2117, 1011, 2173, 3926, 1999, 1996, 4399, 1997, 1996, 3263, 1011, 8316, 11454, 1012, 1038, 25122, 5598, 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, 1037, 2767, 1997, 3067, 1013, 7905, 1011, 21363, 2038, 4567, 2014, 2269, 1998, 2269, 1011, 1999, 1011, 2375, 2005, 2023, 2095, 2050, 30102, 30108, 2015, 4234, 7401, 1998, 6303, 1037, 4234, 5592, 5009, 2005, 2068, 1012, 2096, 1045, 2572, 3227, 24577, 2875, 11186, 2013, 2814, 2040, 2031, 4297, 20026, 19185, 3441, 2055, 2033, 1010, 2023, 2028, 2003, 1037, 2524, 2028, 2004, 1045, 24260, 30102, 30108, 2102, 2031, 1037, 3276, 2007, 2026, 3611, 1008, 1998, 1045, 24260, 30102, 30108, 2102, 2031, 1037, 2843, 1997, 2224, 2005, 2026, 2269, 1011, 1999, 1011, 2375, 2061, 1045, 2572, 2012, 1037, 2978, 1997, 1037, 3279, 1012, 2096, 1045, 2018, 2000, 4756, 2012, 1996, 3830, 14868, 6802, 2269, 1010, 1996, 3291, 2007, 2205, 2116, 3611, 2015, 2041, 2045, 2003, 2008, 2027, 24260, 30102, 30108, 2102, 3599, 24970, 2012, 20888, 2054, 2027, 2215, 2005, 4234, 1012, 2065, 2017, 2031, 2000, 4497, 2005, 2028, 1010, 2057, 2514, 2005, 2017, 1012, 5341, 2005, 2035, 1997, 2149, 1010, 2057, 2079, 4965, 4234, 9604, 2005, 2070, 2524, 2000, 4965, 2005, 2111, 2040, 2024, 11397, 1998, 2182, 2024, 2070, 1997, 1996, 4784, 2008, 1045, 2031, 2272, 2039, 2007, 2058, 1996, 2197, 3232, 1997, 2086, 1012, 1011, 10209, 4632, 1999, 3010, 4331, 2011, 6031, 12631, 23836, 2050, 1024, 1024, 2065, 2017, 3611, 7566, 2055, 4331, 2035, 1997, 1996, 2051, 1998, 6732, 2002, 4282, 2062, 2084, 3505, 17971, 2021, 1999, 4507, 2038, 1996, 2168, 4105, 16160, 2004, 26624, 19542, 1010, 2672, 2009, 2003, 2051, 2000, 2393, 2115, 3611, 2614, 2062, 3716, 3085, 1012, 2023, 2003, 12476, 2006, 1037, 3232, 1997, 3798, 1012, 2034, 1997, 2035, 2009, 2097, 5333, 1996, 2504, 1997, 2576, 6594, 1999, 2115, 2160, 2021, 2065, 2017, 3611, 3268, 1999, 3541, 7649, 1010, 2002, 2097, 2031, 2000, 4863, 2000, 2010, 2814, 2339, 2002, 2038, 1037, 2338, 14500, 6913, 2011, 1996, 3159, 1997, 4768, 1998, 2129, 2002, 2003, 5191, 2010, 2775, 2038, 2468, 1037, 4314, 1012, 1011, 2096, 2057, 2024, 3331, 4331, 1998, 1056, 8545, 15495, 3611, 1037, 2978, 1010, 1045, 6592, 2017, 4060, 2039, 2593, 1037, 6100, 1997, 4422, 14163, 20974, 17791, 2050, 30102, 30108, 2015, 10828, 2030, 3744, 10381, 13465, 9013, 2050, 30102, 30108, 2015, 10828, 1012, 2029, 2028, 2017, 2507, 2032, 1010, 9041, 2006, 2129, 2002, 4494, 1012, 2065, 2002, 4494, 4603, 1998, 2038, 1037, 3533, 5215, 11660, 1010, 2507, 2032, 3744, 10381, 13465, 9013, 2050, 30102, 30108, 2015, 10828, 1012, 2065, 2002, 2038, 3049, 7760, 1997, 2032, 1998, 5578, 19817, 27627, 2013, 3380, 1010, 2017, 2131, 2032, 1996, 14163, 20974, 17791, 10828, 2021, 2017, 2079, 2009, 2007, 1037, 3442, 2227, 2050, 30102, 29649, 1998, 2059, 2043, 2035, 1997, 1996, 9604, 2024, 2445, 2041, 1010, 4139, 2041, 1996, 2338, 2002, 2359, 2013, 4218, 1996, 3392, 1012, 2065, 2017, 2024, 2137, 1010, 7681, 1996, 2338, 4532, 28619, 2078, 3825, 2619, 2842, 2000, 4339, 2005, 2014, 2030, 2242, 2055, 1996, 5817, 2050, 30102, 30108, 2015, 1012, 1011, 1996, 2162, 2011, 6358, 7641, 2006, 4966, 1998, 1996, 2162, 1024, 2019, 10305, 2381, 1012, 1996, 4966, 2003, 1037, 17743, 1998, 1045, 5959, 2009, 2296, 2051, 2009, 3310, 2006, 2547, 2021, 1996, 2338, 2003, 2569, 1999, 2009, 2050, 30102, 30108, 2015, 2219, 2126, 1012, 2009, 5829, 2090, 1996, 2502, 3861, 1997, 1996, 2162, 1998, 1996, 10305, 4751, 1997, 1996, 4736, 2007, 7496, 1998, 2750, 4129, 1996, 2168, 2466, 2004, 1996, 1996, 7163, 2186, 1010, 2038, 1037, 2172, 2367, 2514, 1012, 1011, 2070, 2808, 2006, 1996, 2162, 1999, 5712, 1012, 1045, 16755, 19807, 9363, 2030, 1996, 18503, 2011, 2726, 1041, 1012, 6174, 2015, 2030, 1996, 2959, 2732, 1024, 2176, 11593, 1998, 1996, 8680, 5998, 2005, 1996, 2925, 1997, 1996, 2142, 2163, 2390, 2011, 6754, 14855, 16020, 1012, 2035, 2093, 2808, 2024, 2307, 1012, 1011, 2316, 1997, 3428, 1006, 2338, 1007, 2011, 4459, 15675, 1024, 1024, 1996, 2273, 1997, 1041, 2194, 1010, 2753, 25994, 3483, 1010, 7886, 3367, 10519, 1010, 14382, 2005, 2023, 7069, 3554, 2486, 2138, 2027, 2359, 2000, 2022, 1996, 2190, 1999, 1996, 2390, 1516, 1998, 4468, 3554, 4077, 4895, 18938, 21967, 1010, 2041, 1011, 1997, 1011, 4338, 4433, 10285, 1012, 1996, 3976, 2027, 3825, 2005, 2008, 4792, 2001, 2146, 1010, 12098, 8566, 3560, 1010, 1998, 2823, 6517, 6553, 2731, 1010, 2628, 2011, 2070, 1997, 1996, 2087, 23512, 7465, 1997, 2088, 2162, 2462, 1012, 2748, 1996, 7163, 1011, 2186, 2003, 2307, 2021, 2023, 2338, 2003, 2130, 2488, 1998, 2003, 2028, 1997, 1996, 2190, 2808, 2006, 2088, 2162, 2462, 2008, 1045, 2031, 2412, 3191, 1012, 2065, 2002, 2525, 2038, 2316, 1997, 3428, 1010, 2002, 2089, 2036, 2066, 6926, 3548, 1024, 1996, 1057, 1012, 1055, 1012, 2390, 2013, 1996, 13298, 12212, 2000, 1996, 23708, 2000, 1996, 7806, 1997, 2762, 2011, 15675, 2004, 2092, 1012, 1037, 8066, 3993, 23293, 1997, 3239, 9148, 27401, 6115, 1006, 5935, 3262, 2013, 1996, 8700, 2381, 3074, 2012, 1996, 4895, 12848, 1012, 1997, 2047, 5979, 1521, 1055, 16551, 2415, 1998, 2013, 3167, 7636, 1007, 3957, 1996, 8068, 2019, 10305, 2514, 1997, 2054, 2162, 2001, 2066, 2005, 3939, 3549, 1999, 1996, 2647, 4258, 1997, 3136, 1516, 2013, 1996, 12212, 1997, 2605, 2000, 3377, 2012, 1996, 3449, 4783, 2314, 1012, 1011, 2601, 3103, 1024, 1996, 2437, 1997, 1996, 9732, 5968, 2011, 2957, 10588, 1012, 2096, 10588, 2180, 1996, 4139, 19253, 2005, 1996, 2437, 1997, 1996, 9593, 5968, 1010, 1045, 2179, 2023, 2338, 2000, 2022, 2130, 2488, 1012, 2119, 1997, 2122, 2808, 2024, 8680, 28809, 1997, 2470, 1998, 3015, 4129, 1996, 2466, 1997, 2129, 2637, 2318, 1996, 4517, 2608, 2679, 1010, 1996, 5936, 1997, 1996, 6529, 1006, 1998, 2339, 2027, 2106, 2009, 1007, 1010, 2129, 1996, 12513, 2020, 7143, 2000, 2424, 2041, 1010, 1998, 1996, 4331, 2369, 2009, 1012, 2035, 1997, 2216, 7832, 2071, 2022, 2808, 2011, 3209, 1998, 2320, 2404, 2362, 1010, 2433, 1996, 3192, 1997, 1037, 3232, 1997, 5621, 9487, 2808, 1012, 1011, 1996, 11028, 1997, 2250, 2011, 7112, 3779, 1024, 1024, 2017, 2064, 3191, 2026, 3319, 1997, 2009, 2182, 1012, 2065, 2115, 3611, 1999, 2019, 12235, 2030, 2074, 7459, 2000, 3191, 2019, 11973, 2466, 1997, 2381, 1010, 2023, 2003, 2019, 6581, 3601, 2005, 2115, 3611, 2004, 2002, 3138, 1037, 3338, 2013, 2404, 17989, 2105, 1999, 1996, 4497, 2096, 2551, 2006, 2010, 12677, 16150, 4710, 5080, 1998, 9992, 1996, 2000, 1011, 2079, 2862, 2115, 2388, 2081, 2005, 2032, 1012, 11721, 28682, 2005, 3611, 1011, 23848, 22779, 1024, 1024, 2296, 2158, 3791, 2037, 2219, 15257, 1012, 2012, 1996, 6644, 2057, 2031, 1037, 2454, 15257, 2015, 1010, 2070, 18167, 1998, 6046, 6113, 26078, 2021, 3071, 4122, 2000, 2224, 3067, 1012, 2928, 2288, 2033, 1037, 23848, 22779, 2005, 2026, 5798, 2197, 2095, 1998, 1045, 2064, 2633, 2360, 1010, 1037, 30102, 29674, 11774, 2015, 2125, 1010, 2175, 12475, 1996, 6046, 2006, 2619, 2842, 2050, 30102, 30108, 2015, 15257, 1012, 1037, 30102, 3611, 2015, 5959, 2108, 7894, 1998, 11612, 2320, 1999, 1037, 2096, 1010, 2926, 2007, 1037, 4658, 15257, 1012, 1011, 9724, 6916, 6410, 2828, 15994, 1024, 1024, 1996, 2197, 6410, 2828, 15994, 1999, 2537, 1998, 1996, 3819, 6994, 2005, 3611, 2000, 4339, 2041, 2010, 10828, 1010, 2293, 3964, 2000, 2115, 2388, 2030, 2002, 2071, 2074, 2275, 2009, 2039, 1999, 1996, 2542, 2282, 2000, 9044, 2041, 1037, 3232, 1997, 3964, 2000, 1996, 2882, 3211, 5104, 2040, 2097, 6135, 3335, 2041, 2006, 1996, 2755, 2008, 2037, 3602, 2001, 2517, 2006, 1037, 6410, 2828, 15994, 1012, 1996, 2060, 3893, 2008, 4406, 2010, 12191, 1010, 4966, 2447, 1010, 1998, 2188, 3004, 2291, 1010, 2002, 2180, 2050, 30102, 30108, 2102, 2342, 2017, 2000, 2272, 2058, 1998, 8081, 2023, 2043, 2009, 7807, 1012, 1011, 16371, 10665, 23746, 2072, 18833, 2735, 10880, 2007, 26322, 8946, 1024, 1024, 2045, 2003, 1037, 2204, 3382, 2008, 2115, 3611, 2038, 2070, 2214, 2082, 2189, 3564, 1999, 2010, 9346, 2008, 2002, 8295, 2135, 3504, 2012, 2021, 2038, 2053, 2801, 2129, 2000, 2377, 2010, 2190, 1997, 7710, 8446, 2198, 2636, 2292, 2894, 2131, 2068, 2006, 1996, 26322, 2008, 2017, 2435, 2032, 2197, 4234, 1012, 2023, 2323, 3102, 2048, 5055, 2012, 2320, 1012, 1996, 2919, 2739, 2003, 2008, 2010, 2214, 2636, 2031, 2179, 1037, 2117, 2166, 1998, 2057, 5196, 30102, 30108, 2102, 2469, 2065, 2008, 2003, 1037, 2204, 2518, 2030, 1037, 2919, 2518, 2021, 2008, 2050, 30102, 30108, 2015, 2115, 3291, 1010, 2025, 3067, 1012, 1011, 2144, 2057, 2024, 3331, 2055, 2115, 3611, 2050, 30102, 30108, 2015, 2919, 5510, 1999, 2189, 1010, 2339, 2025, 2507, 2032, 1037, 3835, 2275, 1997, 2132, 19093, 1012, 2025, 2074, 2151, 2275, 1997, 2132, 19093, 2021, 2070, 5005, 17542, 2989, 2132, 19093, 1012, 2027, 2031, 2146, 2042, 1037, 2442, 2031, 2005, 6976, 13109, 10136, 2021, 2130, 2005, 2216, 1997, 2017, 3005, 3611, 3475, 2050, 30102, 30108, 2102, 3909, 2000, 4361, 2296, 2733, 1010, 2027, 13416, 18162, 17093, 5005, 2011, 6584, 1012, 1018, 1003, 1010, 4346, 1037, 27486, 4044, 2000, 11598, 2010, 5962, 3325, 1012, 1011, 2603, 1998, 2033, 1024, 1024, 2027, 4604, 2017, 1037, 8934, 1010, 2017, 13183, 2046, 1037, 7270, 1998, 4604, 2009, 2067, 1012, 2027, 17908, 1996, 6064, 1999, 2115, 26308, 1010, 2059, 2425, 2017, 2055, 2115, 7403, 11377, 1010, 1998, 2115, 10514, 11020, 23606, 13464, 2000, 19345, 5799, 2966, 3785, 1012, 2065, 2017, 2031, 1037, 19345, 5799, 4650, 1010, 2017, 2036, 2097, 2113, 2040, 2000, 7499, 1012, 1011, 18978, 13539, 2692, 21907, 1016, 1024, 1024, 3100, 1010, 2061, 2115, 3611, 2050, 30102, 30108, 2015, 10355, 4813, 2318, 2000, 2991, 2369, 2043, 1996, 5624, 3597, 17084, 2234, 2041, 2021, 24260, 30102, 30108, 2102, 2907, 2008, 2114, 2032, 1998, 2292, 2032, 28667, 18256, 6593, 2007, 1996, 2399, 1997, 2748, 20902, 14644, 1998, 2131, 2032, 1037, 13528, 2208, 2291, 1012, 2009, 2838, 1996, 2168, 3536, 8982, 5997, 2075, 1998, 2298, 1997, 1996, 18978, 13539, 2692, 1010, 1998, 2097, 5425, 1996, 2514, 2083, 2048, 4438, 6569, 21354, 2015, 2005, 4800, 1011, 2447, 2971, 1998, 13528, 7711, 1012, 1996, 2291, 3310, 3653, 1011, 8209, 2007, 2058, 2382, 4438, 2399, 1012, 2053, 2047, 17402, 2024, 3223, 1010, 2074, 7532, 2009, 2000, 2115, 2694, 1998, 2377, 999, 1996, 2291, 2008, 2716, 2017, 4978, 2066, 26732, 1010, 25129, 1010, 9358, 15457, 3207, 1010, 11926, 2455, 2121, 1010, 4971, 15457, 3207, 1010, 7421, 3094, 1010, 4337, 1998, 13433, 3070, 2085, 2038, 2068, 2035, 5067, 2006, 2028, 18801, 2291, 1012, 1011, 1996, 17491, 1024, 1024, 2065, 3611, 2038, 1037, 4950, 1010, 2002, 2763, 2038, 1037, 4440, 7716, 2030, 2048, 1012, 2065, 2002, 7777, 2000, 2202, 7008, 2041, 1997, 1996, 2160, 1998, 2987, 2050, 30102, 30108, 2102, 2066, 1996, 2038, 25016, 1997, 4531, 1996, 3819, 2173, 2005, 2010, 4057, 1010, 1996, 17491, 2071, 2022, 1037, 2307, 5724, 1012, 10468, 2009, 2003, 2054, 6433, 2043, 2017, 11506, 1037, 4950, 4057, 2007, 1037, 14068, 4524, 1012, 2096, 2017, 2024, 2012, 2009, 1010, 2339, 2025, 2131, 3611, 1037, 2047, 3617, 4950, 1029, 1011, 2115, 3611, 2763, 2038, 2019, 2214, 11503, 27108, 4063, 10209, 2105, 2021, 2047, 11503, 27108, 13375, 2066, 1996, 12849, 23597, 1062, 2072, 2620, 2024, 2061, 2172, 6082, 2000, 2224, 1012, 2065, 2017, 2031, 2882, 3211, 5104, 1010, 2507, 2028, 1997, 2122, 2000, 3611, 1010, 2275, 2032, 2039, 2006, 7858, 1998, 2292, 2032, 2175, 4689, 2030, 2292, 2032, 2143, 2370, 2041, 1999, 1996, 9917, 2004, 1037, 4649, 2358, 21332, 10587, 2022, 1012, 2002, 2097, 2022, 15261, 2012, 2129, 3733, 1998, 2129, 2152, 3737, 12849, 23597, 2050, 30102, 30108, 2015, 4950, 2003, 1012, 1011, 5898, 2386, 1024, 1024, 2096, 2087, 2273, 2215, 2028, 1010, 2009, 2003, 1037, 2843, 1997, 2769, 2000, 5806, 2041, 2005, 1037, 4800, 6994, 2021, 1037, 1996, 2168, 2051, 2009, 2003, 1037, 14430, 4435, 1998, 6994, 2008, 2115, 3611, 2097, 9120, 2009, 2004, 1037, 5592, 1012, 2096, 2017, 2024, 2012, 2009, 1010, 10055, 1999, 1037, 6100, 1997, 4649, 2358, 21332, 2050, 30102, 30108, 2015, 2338, 1010, 5788, 999, 1024, 6827, 4813, 1998, 9887, 2000, 2131, 2017, 2041, 1997, 5973, 2030, 1996, 21871, 7691, 14812, 1012, 2065, 3611, 3475, 2050, 30102, 30108, 2102, 3497, 2000, 3191, 1010, 4060, 2039, 2035, 2093, 3692, 1997, 12084, 2386, 2612, 1012, 1011, 13351, 2175, 5973, 18651, 1024, 1024, 3611, 2763, 2525, 2038, 1037, 5926, 10007, 18651, 2012, 2188, 2021, 2023, 2003, 3819, 2005, 5026, 2000, 1996, 3509, 2030, 2058, 2000, 2115, 2173, 2043, 2017, 24260, 30102, 30108, 2102, 2514, 2066, 7493, 2039, 1996, 18651, 4426, 1012, 2009, 2050, 30102, 30108, 2015, 2036, 18872, 2029, 2097, 3288, 2067, 2204, 5758, 2005, 2115, 2269, 1997, 1037, 2051, 2043, 2002, 2071, 8984, 2000, 2175, 2000, 7097, 2399, 1010, 10749, 24646, 14075, 18007, 1010, 1998, 2010, 2217, 8022, 2015, 2020, 1037, 4827, 4861, 2738, 2084, 1996, 3192, 2005, 2010, 22863 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2026, 2767, 6647, 23564, 11335, 3728, 2356, 2033, 2065, 1045, 2052, 4339, 2019, 10651, 2006, 2129, 1045, 1005, 1049, 2478, 2026, 25249, 2005, 15836, 1012, 2129, 2038, 2026, 8051, 1013, 4007, 2147, 12314, 7964, 2058, 2051, 1029, 1045, 2228, 1996, 2197, 2051, 1045, 2626, 2055, 2023, 2001, 3653, 1011, 24582, 23743, 2094, 2061, 1045, 2245, 2019, 10651, 2001, 2092, 2058, 20041, 1012, 2036, 1010, 2004, 1045, 3728, 2333, 2000, 2019, 25249, 7163, 2005, 2087, 1997, 2026, 3679, 25249, 2224, 1010, 2009, 1005, 1055, 2042, 2019, 5875, 1998, 6179, 3382, 2000, 2228, 2083, 1996, 2224, 3572, 2320, 2062, 1012, 1045, 3984, 1996, 2034, 2518, 2000, 2360, 2003, 2008, 1996, 1005, 2128, 27927, 1005, 3031, 1996, 25249, 7163, 2038, 2042, 4321, 2200, 5744, 1012, 1045, 2081, 2054, 1010, 1999, 17666, 25807, 1010, 2001, 1037, 6707, 1999, 8660, 2006, 1037, 2385, 18259, 15536, 8873, 25249, 2612, 1997, 3403, 2005, 1037, 3590, 18259, 8318, 2063, 2544, 1012, 1045, 3984, 1045, 2134, 1005, 1056, 2113, 2008, 1045, 2001, 2183, 2000, 2066, 1996, 7163, 2061, 2172, 2021, 1045, 4033, 1005, 1056, 4149, 1037, 15536, 8873, 1011, 2069, 25249, 2144, 2026, 2034, 25249, 1998, 1045, 4797, 1045, 1005, 2222, 2412, 2079, 2061, 2153, 1012, 12562, 14048, 2003, 7078, 6827, 2000, 1996, 2126, 1045, 2147, 1012, 2009, 1005, 1055, 2763, 4276, 18625, 2182, 2129, 1045, 2131, 2008, 12562, 3229, 1012, 1045, 2031, 2042, 2007, 1996, 2866, 6839, 2093, 2005, 1037, 2261, 8213, 1997, 18059, 1998, 1045, 2031, 2042, 2200, 7537, 2007, 2037, 6325, 1999, 2035, 1996, 2752, 1045, 2342, 6325, 1006, 2115, 3542, 4270, 2089, 8137, 1007, 1012, 1045, 2123, 1005, 1056, 2031, 1037, 3206, 1012, 1045, 2074, 4965, 2037, 3653, 1011, 3825, 2951, 21934, 7427, 1998, 2224, 2009, 2127, 2009, 3216, 2041, 1010, 2059, 2131, 2178, 1012, 4050, 1010, 1045, 1005, 2222, 4965, 2037, 1017, 18259, 21934, 1010, 9398, 2005, 3938, 2420, 1010, 2029, 5366, 2055, 21853, 2692, 1012, 2045, 1005, 1055, 2036, 1037, 1015, 18259, 1013, 2382, 2154, 1013, 26812, 7427, 2021, 1045, 2131, 1996, 7046, 2028, 2074, 2000, 5547, 1996, 6075, 1997, 2770, 2041, 1997, 2951, 2030, 2051, 1012, 2057, 2123, 1005, 1056, 2031, 17463, 14326, 21934, 14555, 2005, 8318, 2063, 2664, 1999, 1996, 2866, 2061, 1045, 1005, 1049, 2145, 22889, 2819, 6562, 2009, 2006, 1017, 2290, 1012, 2061, 1010, 2054, 2079, 1045, 2079, 2007, 2023, 2518, 1029, 1045, 2224, 2093, 2364, 6112, 2578, 1024, 24582, 23743, 2094, 1010, 2412, 22074, 1998, 4530, 8758, 1012, 24582, 23743, 2094, 2003, 3227, 2551, 2200, 2092, 2005, 2033, 1012, 1045, 26351, 2673, 2008, 24582, 23743, 2094, 4107, 2083, 2008, 2326, 3272, 10373, 1012, 2009, 1005, 1055, 2468, 2026, 12398, 3295, 2005, 2035, 2047, 1045, 6198, 5491, 1998, 1045, 1005, 1049, 6729, 2006, 2009, 3492, 4600, 1012, 2035, 2026, 18216, 2444, 1999, 25569, 2006, 24582, 23743, 2094, 1011, 2164, 2070, 2738, 6638, 18216, 4820, 2312, 6876, 1011, 1998, 2009, 1005, 1055, 2042, 12530, 3085, 1012, 5875, 2135, 1010, 2007, 2026, 9886, 1997, 1996, 25249, 7163, 4077, 2026, 3180, 25249, 1010, 1045, 4384, 2028, 2502, 4920, 1999, 1996, 26351, 2075, 5957, 1024, 25249, 1011, 2069, 18726, 2008, 2123, 1005, 1056, 26351, 1012, 2127, 2085, 1010, 2009, 2347, 1005, 1056, 2428, 1037, 9095, 2008, 2019, 10439, 2008, 3475, 1005, 1056, 2006, 25249, 1998, 18059, 1011, 2030, 25249, 1998, 6097, 1011, 2323, 26351, 1012, 2044, 2035, 1010, 2040, 2038, 2048, 25249, 2015, 1029, 2092, 1010, 2085, 1045, 2079, 1998, 2009, 1005, 1055, 3492, 15703, 1012, 1045, 1005, 1049, 2025, 9104, 2008, 2023, 2097, 2022, 1037, 2691, 2224, 2553, 2021, 2009, 2453, 10416, 2039, 2062, 2411, 2084, 2077, 1012, 10468, 1010, 1045, 2123, 1005, 1056, 2215, 2000, 2224, 2019, 10439, 2008, 2987, 1005, 1056, 26351, 2151, 2062, 1012, 1045, 1005, 2310, 2042, 2006, 4530, 8758, 2005, 2195, 2086, 1998, 2031, 1037, 2312, 3815, 1997, 2951, 1999, 2045, 2021, 2009, 1005, 1055, 6233, 3110, 2066, 1037, 8027, 2326, 1012, 1045, 7166, 2025, 2000, 2404, 2047, 5491, 1999, 4530, 8758, 2043, 1045, 2031, 1996, 5724, 1997, 2478, 24582, 23743, 2094, 1011, 3272, 2043, 1045, 5987, 2000, 2031, 2000, 20880, 2006, 2068, 1012, 1996, 8050, 3291, 2003, 2008, 1996, 4530, 8758, 2944, 1011, 1037, 19622, 2008, 26351, 2015, 1011, 2003, 6669, 3407, 2006, 15363, 4082, 3001, 2021, 20625, 2135, 7570, 12820, 2006, 16380, 1012, 2006, 16380, 2017, 2593, 2224, 2037, 10439, 2030, 12530, 2006, 2035, 1996, 18726, 2017, 2224, 4637, 1996, 4530, 8758, 17928, 1012, 2116, 18726, 2079, 1010, 2021, 1045, 1005, 1049, 2025, 6135, 3407, 26996, 2870, 2000, 2069, 2224, 18726, 2008, 2831, 4530, 8758, 1012, 2633, 1010, 2412, 22074, 1012, 2412, 22074, 2003, 2005, 2673, 2008, 1005, 1055, 2025, 1037, 6254, 1998, 3243, 1037, 2261, 2477, 2008, 2024, 1012, 1045, 7166, 2000, 2404, 4431, 11135, 2015, 2046, 2412, 22074, 1012, 1996, 6359, 3444, 2005, 2412, 22074, 2006, 16380, 2003, 1996, 3754, 2000, 10373, 2477, 2000, 2115, 2412, 22074, 4070, 1012, 1045, 2079, 2023, 2035, 1996, 2051, 1012, 1045, 2224, 2412, 22074, 1037, 2843, 2005, 2147, 1012, 2035, 7957, 1997, 4431, 3430, 1998, 2636, 1997, 2147, 2175, 2046, 2026, 2412, 22074, 4070, 1998, 1045, 1005, 2222, 4703, 2224, 1996, 4950, 2006, 2026, 3042, 2030, 25249, 2000, 5425, 2242, 1998, 2358, 11823, 2009, 1999, 2412, 22074, 1012, 1996, 2117, 10439, 2008, 1045, 11321, 12530, 2006, 2003, 11135, 6739, 2011, 3191, 10362, 1012, 1045, 1005, 1049, 2025, 4654, 27609, 5844, 2043, 1045, 2360, 2008, 11135, 6739, 2003, 1996, 2190, 11135, 10439, 1045, 2031, 2109, 2006, 2151, 4132, 2012, 2151, 3976, 1012, 1996, 2069, 2518, 2009, 2064, 1005, 1056, 2079, 2003, 3443, 1037, 11135, 2433, 1006, 3444, 5227, 999, 1007, 1012, 1045, 2224, 2009, 2005, 10886, 11135, 5491, 2000, 4280, 1998, 1045, 1005, 1049, 6233, 2478, 2009, 2004, 1996, 23354, 1997, 2019, 2035, 1011, 3617, 10060, 2147, 12314, 2008, 3632, 2066, 2023, 1024, 3076, 22028, 2033, 1037, 11135, 8775, 1025, 1045, 2330, 2009, 1999, 11135, 6739, 1998, 2928, 2009, 2478, 1996, 7279, 1998, 3793, 5906, 1025, 1045, 2059, 10373, 2067, 1037, 6100, 1997, 1996, 6254, 1998, 10507, 2009, 2000, 2026, 2412, 22074, 4070, 2004, 1037, 2501, 1012, 11135, 6739, 2064, 2036, 2831, 2000, 3365, 2060, 6112, 2578, 2164, 4530, 8758, 1010, 8224, 3298, 1998, 3712, 23663, 1012, 1045, 2224, 1996, 1045, 6198, 18726, 2012, 2082, 2021, 2025, 1999, 1996, 2126, 2017, 2228, 1012, 1045, 6684, 2224, 5530, 2012, 2035, 1010, 2021, 1045, 2224, 3616, 2000, 2501, 2465, 2951, 1998, 5441, 3056, 18687, 1012, 1045, 2224, 25569, 2043, 1045, 1005, 1049, 10886, 2055, 2256, 25249, 2147, 2021, 1045, 4050, 2123, 1005, 1056, 6570, 1999, 1037, 25569, 1011, 3082, 2126, 1012, 1045, 2228, 1045, 2763, 2031, 2055, 2048, 5025, 25569, 2015, 2008, 1045, 2079, 1999, 2465, 1012, 1045, 2172, 9544, 1037, 2317, 6277, 1998, 7279, 1010, 2007, 1037, 5080, 4950, 2005, 11847, 2008, 1012, 2057, 2036, 2191, 4866, 2224, 1997, 11943, 1057, 2012, 2082, 2061, 1045, 2031, 2008, 10439, 2004, 2112, 1997, 2026, 6994, 23615, 1012, 2005, 1996, 2087, 2112, 1010, 2295, 1010, 1045, 4339, 2046, 11943, 1057, 1998, 1996, 2493, 2224, 1996, 10439, 1012, 1037, 6881, 28685, 2007, 11943, 1057, 2003, 2008, 2017, 2064, 1005, 1056, 2224, 1996, 2607, 3208, 6922, 2013, 2019, 16380, 5080, 1011, 2750, 2607, 3208, 2108, 4773, 2241, 1012, 4863, 2673, 2467, 3310, 2039, 1999, 2495, 7925, 1998, 2157, 2135, 2061, 1012, 2009, 1005, 1055, 1037, 2307, 2317, 6277, 1011, 3405, 10439, 2005, 16380, 1012, 2043, 1045, 2001, 3728, 4201, 2039, 2044, 1037, 6181, 3169, 1010, 1045, 2109, 2009, 8077, 1999, 9595, 2007, 11943, 1057, 2000, 3443, 2460, 6876, 2008, 2026, 4280, 2071, 3422, 2247, 2007, 1996, 8220, 1012, 1045, 1005, 2310, 3728, 2042, 4699, 1999, 1996, 2801, 1997, 2478, 2026, 25249, 7163, 2004, 1037, 1005, 6110, 3042, 1005, 1012, 2023, 2801, 3475, 1005, 1056, 4310, 2000, 2033, 1011, 4459, 28630, 2003, 2183, 18059, 3238, 2007, 2019, 8318, 2063, 25249, 7163, 1010, 1998, 6754, 1047, 3217, 4430, 1011, 26766, 2003, 8025, 2055, 2725, 1996, 2168, 2007, 1037, 26041, 1021, 1006, 2021, 2064, 1005, 1056, 2138, 1996, 1050, 2581, 2038, 2053, 12562, 14048, 5724, 1025, 2242, 1045, 10865, 2055, 1999, 2026, 3319, 1007, 1011, 2021, 1045, 5121, 2387, 1996, 6061, 2471, 3442, 2185, 1012, 2000, 2023, 2203, 1010, 4069, 2006, 2026, 2188, 3898, 2024, 1024, 7696, 1010, 2227, 7292, 1998, 3712, 5051, 1012, 1045, 8897, 2009, 2039, 7483, 1998, 1010, 2006, 2026, 18059, 1010, 1045, 2018, 2809, 3584, 3971, 2000, 4604, 1037, 4471, 2000, 2026, 3042, 2008, 2134, 1005, 1056, 9125, 2437, 1037, 6839, 1011, 2241, 3042, 2655, 2030, 6016, 2019, 22434, 1012, 2216, 7047, 2020, 1024, 10047, 7971, 4270, 1010, 3712, 5051, 1010, 2227, 7292, 1010, 10474, 1010, 5658, 18384, 1010, 8224, 1009, 1010, 9130, 1998, 5653, 1012, 2017, 2071, 2036, 4175, 1011, 2012, 1037, 5245, 1011, 16021, 23091, 1998, 7760, 3081, 1037, 4207, 7760, 25379, 1012, 2009, 2003, 6233, 10599, 2000, 2033, 2008, 1037, 1069, 12740, 1013, 3204, 3206, 2003, 2204, 3643, 2074, 2000, 4374, 8027, 22434, 7696, 1012, 5121, 1010, 2045, 1005, 1055, 1037, 3417, 8010, 3160, 1012, 2174, 1010, 2013, 1037, 4087, 2391, 1997, 3193, 1010, 1045, 2228, 1045, 1005, 1049, 23613, 3967, 3085, 2302, 1037, 6839, 3206, 1012, 6854, 1010, 1045, 2074, 2772, 1037, 1016, 1011, 2095, 3206, 2005, 2019, 18059, 1019, 2061, 2023, 7551, 2097, 2031, 2000, 2444, 4077, 2026, 3042, 2005, 2085, 1012, 1045, 5959, 3752, 2006, 2026, 25249, 1998, 1045, 1005, 1049, 2130, 24665, 6784, 28392, 2893, 2109, 2000, 2009, 2006, 2026, 25249, 7163, 1011, 2437, 1996, 15489, 2015, 1037, 2946, 7046, 2084, 2017, 2052, 2006, 1037, 2128, 13770, 25249, 5791, 3271, 2033, 1012, 1045, 4965, 2035, 2026, 26885, 2015, 2006, 2785, 2571, 1998, 2224, 1996, 2785, 2571, 10439, 1012, 2023, 3247, 3475, 1005, 1056, 4007, 1011, 5533, 1011, 1045, 24821, 9544, 2673, 2055, 21307, 14659, 2015, 1011, 2021, 1996, 2846, 1997, 2808, 2800, 1999, 1996, 2866, 21307, 14659, 23809, 2063, 2003, 2521, 14092, 2000, 9733, 1005, 1055, 4989, 1998, 1996, 3976, 4487, 27694, 3012, 2090, 21307, 14659, 2015, 1998, 2785, 2571, 2003, 2411, 16880, 1998, 13576, 1012, 1045, 3728, 4149, 1037, 2338, 2005, 21853, 1012, 5585, 2006, 2785, 2571, 2008, 2001, 1069, 2620, 1012, 5585, 2006, 21307, 14659, 2015, 1012, 2008, 1005, 1055, 7199, 5171, 1025, 2808, 2024, 2593, 21125, 7235, 2135, 2006, 2119, 2030, 9733, 2003, 2521, 16269, 1012, 1045, 2036, 2224, 1998, 2293, 11238, 6277, 1012, 11238, 6277, 2038, 2042, 2026, 12667, 2015, 8068, 2005, 1037, 3232, 1997, 2086, 2085, 1012, 3322, 11238, 6277, 2134, 1005, 1056, 11562, 2007, 2033, 2021, 1010, 2043, 2027, 2623, 2037, 18059, 2544, 1010, 1045, 3402, 2387, 2129, 2009, 2071, 2022, 1037, 2613, 2112, 1997, 2026, 3752, 1005, 2147, 12314, 1005, 2065, 2017, 2097, 1012, 1045, 2031, 4198, 2026, 11238, 6277, 2000, 8224, 8068, 2004, 1037, 2126, 2000, 3582, 3056, 23012, 2021, 1045, 2031, 12099, 3013, 2091, 2006, 12667, 2015, 2058, 3522, 2086, 1998, 2069, 4942, 29234, 2000, 1996, 2261, 4898, 2013, 3183, 1045, 2123, 1005, 1056, 2215, 2000, 3335, 1037, 2309, 2695, 1012, 1045, 3191, 2087, 1997, 1996, 2502, 6627, 4573, 2083, 2037, 2219, 11238, 6277, 6833, 1012, 1045, 2036, 7532, 11238, 6277, 2000, 10474, 1012, 1045, 2224, 10474, 7201, 2004, 1037, 2126, 2000, 8587, 2066, 1011, 13128, 2111, 1998, 3191, 1996, 6971, 2027, 2695, 1012, 2017, 2113, 2129, 2823, 1037, 2711, 2003, 1037, 2307, 13023, 1997, 6971, 2021, 2037, 5025, 1056, 28394, 3215, 2453, 2025, 2022, 2035, 2008, 1029, 2023, 2003, 2129, 1045, 3066, 2007, 2009, 1024, 2404, 2068, 2006, 1037, 2862, 1998, 3191, 2037, 6971, 2083, 11238, 6277, 1012, 2023, 2038, 2468, 2107, 2019, 6827, 2112, 1997, 2026, 3716, 1011, 7215, 2008, 1045, 1005, 1049, 15958, 5191, 2055, 2129, 2023, 2097, 2147, 2065, 10474, 7659, 2125, 11238, 6277, 1012, 2005, 2026, 1000, 3191, 2101, 1000, 2326, 1010, 1045, 2085, 2224, 4979, 2058, 16021, 2696, 23298, 1012, 1996, 2364, 3114, 2005, 2023, 2003, 2008, 4979, 16024, 2678, 2172, 2062, 11552, 2135, 1998, 2009, 1005, 1055, 2004, 13644, 1011, 3569, 2004, 16021, 2696, 23298, 1999, 1996, 18726, 2083, 2029, 1045, 2089, 2424, 6971, 1012, 2009, 5683, 6881, 2000, 2941, 8572, 18625, 2739, 21515, 2021, 1010, 2066, 2116, 2111, 1010, 1045, 1005, 2310, 2318, 2000, 2424, 2009, 6179, 2144, 8879, 2849, 4765, 1005, 1055, 6919, 1000, 1996, 2932, 1000, 12057, 1012, 1045, 4942, 29234, 2094, 2006, 2154, 2028, 1998, 2064, 1005, 1056, 5674, 4895, 6342, 5910, 26775, 12322, 2075, 2151, 2051, 2574, 1012, 1045, 2036, 3243, 5959, 4487, 3367, 3217, 2013, 25540, 4215, 18150, 2013, 2051, 2000, 2051, 1012, 1045, 1005, 1049, 2025, 1037, 4121, 2189, 3124, 1998, 1045, 1005, 2310, 2179, 11943, 2674, 6010, 2026, 3791 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5341, 2193, 22889, 6777, 2378, 1006, 2149, 1011, 4966, 1054, 2487, 1007, 12900, 4204, 4391, 1037, 2143, 1998, 5363, 2010, 2190, 2000, 8568, 2056, 2143, 1005, 1055, 5236, 2516, 6498, 7530, 15361, 2003, 22889, 6777, 2378, 1010, 1037, 2158, 2040, 1005, 1055, 2439, 2010, 3105, 1010, 2010, 4545, 1010, 1998, 3236, 2010, 6513, 16789, 2006, 2032, 1012, 2006, 1037, 1059, 14341, 2002, 7288, 2000, 3942, 2010, 2767, 1010, 4172, 1010, 1999, 2047, 2259, 2000, 2131, 2185, 2013, 2010, 13460, 1012, 2010, 2051, 2185, 3632, 14768, 2043, 22889, 6777, 2378, 2003, 14757, 5999, 1010, 4172, 3475, 1005, 1056, 2188, 1010, 1998, 1037, 3232, 1997, 11240, 2002, 18891, 2229, 2272, 2000, 1996, 2341, 2559, 2005, 4172, 1005, 1055, 2784, 4979, 13930, 1012, 1996, 5795, 1006, 5253, 11462, 1007, 1010, 3005, 2170, 2107, 2138, 2002, 1005, 1055, 1037, 5795, 1010, 2017, 2156, 1010, 2003, 2025, 4180, 2000, 2903, 22889, 6777, 2378, 3475, 1005, 1056, 4172, 1010, 1998, 7670, 1996, 7016, 3825, 1012, 1012, 1012, 1999, 2668, 1012, 22889, 6777, 2378, 2003, 2409, 2000, 4028, 1996, 8867, 1006, 2040, 2003, 1037, 15667, 1010, 1997, 2607, 1007, 1010, 1996, 2365, 1997, 1996, 5795, 1005, 6538, 1010, 1996, 7907, 1006, 2909, 3841, 22819, 2040, 2003, 2170, 2107, 2138, 2002, 2003, 2019, 5025, 7907, 1007, 1012, 2023, 2097, 2022, 24026, 2438, 1010, 2127, 22889, 6777, 2378, 4858, 2041, 2008, 2204, 15589, 1005, 4172, 24381, 1037, 25908, 7016, 2000, 1996, 7907, 2004, 2092, 1012, 2085, 22889, 6777, 2378, 24381, 1996, 5795, 1996, 8867, 1005, 1055, 2166, 1010, 1998, 1996, 7907, 7167, 1997, 5356, 1010, 2030, 2002, 2097, 2022, 2730, 1012, 2035, 1996, 2096, 1037, 22801, 1010, 13294, 2839, 1006, 5503, 12688, 1007, 3849, 2000, 2022, 13997, 20550, 1996, 2139, 3676, 14321, 2013, 1996, 2217, 12735, 1012, 5341, 2193, 22889, 6777, 2378, 3310, 2041, 11820, 1010, 2012, 2035, 2335, 17638, 1010, 4010, 1010, 17075, 1010, 6057, 1010, 1998, 11082, 2025, 5293, 1010, 11576, 2378, 1005, 9882, 2000, 2298, 2012, 1012, 1996, 17709, 5686, 7723, 2066, 12388, 6524, 4212, 4257, 1010, 4496, 2515, 1996, 17709, 5686, 7723, 2066, 7077, 2100, 1010, 21323, 5436, 1012, 1045, 2001, 15055, 2011, 3494, 1045, 1005, 1040, 2464, 1037, 6474, 2335, 2077, 1010, 10575, 2008, 2031, 2042, 19501, 2000, 2331, 1999, 7731, 5988, 1010, 1998, 1037, 5436, 2008, 2012, 2034, 6054, 2596, 2000, 2022, 2242, 2130, 3124, 20404, 2876, 1005, 1056, 3543, 2007, 1037, 4376, 3329, 6536, 1012, 2292, 1005, 1055, 2022, 7481, 2157, 2125, 1996, 7151, 1010, 2023, 3475, 1005, 1056, 4498, 2434, 4933, 1010, 1998, 1999, 1037, 2088, 5451, 2011, 15969, 16985, 4765, 5740, 1996, 4126, 2143, 2064, 2022, 2200, 2214, 6045, 1012, 2021, 2083, 11591, 11084, 1997, 2839, 1010, 1998, 1010, 2153, 1010, 3376, 16434, 1010, 5341, 2193, 22889, 6777, 2378, 3266, 2000, 4139, 2033, 2157, 1999, 1012, 1045, 2001, 4372, 2705, 7941, 3709, 2438, 2000, 5293, 1996, 2755, 2008, 5503, 12688, 2038, 2209, 2023, 2168, 2839, 2055, 1037, 4551, 2335, 1010, 1998, 2008, 1045, 2439, 4847, 2005, 3841, 22819, 1996, 3371, 2002, 3530, 2000, 2022, 1999, 1057, 8545, 8945, 3363, 1005, 1055, 2668, 9447, 2638, 1012, 1045, 2428, 2359, 1010, 2130, 2734, 2000, 2113, 2129, 22889, 6777, 2378, 2001, 2183, 2000, 2131, 2041, 1997, 2023, 6752, 1012, 2059, 2242, 9202, 3047, 1998, 1045, 6618, 2041, 2073, 1996, 2143, 2001, 2183, 1012, 1996, 1005, 9792, 1005, 2065, 2017, 2097, 1012, 1045, 1005, 1049, 2428, 2919, 2055, 4363, 2870, 3805, 1997, 1037, 7984, 1010, 2926, 2065, 1045, 1005, 1049, 9107, 1037, 2143, 1012, 1045, 2134, 1005, 1056, 3275, 2041, 1996, 4369, 3168, 1010, 5156, 13172, 1010, 2030, 2954, 2252, 2077, 1996, 16587, 4711, 2037, 12077, 21438, 1999, 2026, 2227, 1012, 1045, 2347, 1005, 1056, 2559, 2005, 2028, 1012, 2054, 6433, 2182, 3475, 1005, 1056, 2061, 2172, 1037, 9792, 2004, 1037, 7487, 1010, 2021, 1996, 2117, 1045, 3651, 2009, 1010, 1996, 2117, 1045, 2318, 2000, 5060, 2035, 1996, 2060, 2477, 3308, 2007, 1996, 2143, 1012, 1045, 2064, 1005, 1056, 2428, 2175, 2046, 2054, 1045, 2134, 1005, 1056, 2066, 2055, 1996, 3152, 2345, 2353, 2302, 27594, 2075, 2009, 1010, 2061, 1045, 2180, 1005, 1056, 1010, 1045, 1005, 2222, 2074, 2360, 2008, 1006, 2123, 1005, 1056, 3191, 2023, 2065, 2017, 2123, 1005, 1056, 2215, 1037, 9374, 1007, 27594, 2121, 1045, 2359, 2000, 2156, 1037, 3185, 2055, 1037, 2158, 2007, 5536, 2135, 2919, 6735, 1010, 2025, 2178, 9530, 6767, 7630, 3064, 7195, 2466, 1012, 2380, 9212, 1011, 24185, 2243, 25878, 1996, 3006, 2006, 2216, 1037, 2261, 2086, 3283, 1012, 2018, 1996, 2466, 2506, 2006, 1996, 3542, 1011, 1037, 1011, 3371, 7723, 2806, 1010, 1045, 2453, 2025, 2031, 4384, 2008, 2312, 24839, 1997, 1996, 5436, 2020, 4498, 4469, 23585, 2271, 1006, 2029, 2153, 1010, 1045, 2064, 1005, 1056, 2175, 2046, 2302, 1037, 2978, 1997, 27594, 4270, 1007, 1012, 2011, 1996, 2203, 6495, 1010, 1996, 2143, 6966, 2033, 23539, 3973, 2200, 2172, 1997, 12688, 1005, 2197, 2158, 3061, 1010, 2029, 2003, 1997, 2607, 1037, 12661, 1997, 10930, 4478, 13344, 1006, 2036, 26943, 2004, 7345, 3993, 1997, 6363, 1007, 1012, 1045, 2428, 2245, 2023, 6925, 2001, 2183, 2000, 2022, 12266, 2438, 2000, 2994, 2185, 2013, 2107, 5458, 12472, 1010, 1998, 2023, 2205, 9909, 1037, 2307, 3066, 2000, 2026, 9523, 10520, 1012, 2009, 1005, 1055, 2025, 2008, 1045, 2031, 1037, 3291, 2007, 1996, 2143, 1005, 1055, 2601, 2735, 1010, 2009, 1005, 1055, 4919, 1996, 5436, 2735, 2993, 1012, 1045, 1005, 2222, 2175, 2006, 2517, 2501, 2004, 3038, 1045, 2428, 2066, 6498, 7530, 15361, 1005, 1055, 3772, 2806, 1010, 1998, 1045, 2089, 2022, 1996, 2069, 3442, 1010, 3174, 1011, 2242, 2143, 1011, 29294, 2040, 5683, 2023, 2126, 1012, 1045, 1005, 2310, 4669, 2032, 1999, 2035, 1996, 3152, 1045, 1005, 2310, 2464, 2032, 1999, 1010, 1998, 2023, 2028, 2003, 2053, 6453, 1012, 1996, 2143, 1005, 1055, 26272, 3685, 2022, 2872, 2006, 2010, 4065, 1010, 2004, 2002, 3084, 2204, 2224, 1997, 1996, 5436, 3787, 1045, 2134, 1005, 1056, 2066, 2061, 2172, 1012, 2060, 2372, 1997, 1996, 3459, 2203, 2039, 2652, 2037, 5156, 3494, 1010, 2021, 3071, 2003, 1999, 2327, 2433, 1010, 1998, 3071, 3248, 2125, 2028, 2178, 2066, 2995, 8390, 1012, 1998, 2074, 1999, 2553, 1045, 4033, 1005, 1056, 3855, 2009, 2438, 2664, 1010, 2023, 17312, 3504, 10392, 1012, 1996, 4520, 1010, 1996, 8604, 1010, 1996, 2412, 8790, 4950, 2147, 1010, 2009, 1005, 1055, 2035, 2307, 1012, 1996, 16587, 2089, 2022, 27167, 2135, 5496, 1997, 2183, 1037, 2978, 2058, 1996, 2327, 2007, 4950, 3896, 1010, 21500, 2015, 1010, 1998, 4522, 27987, 2075, 5461, 1010, 2021, 2009, 2035, 5064, 9020, 2000, 2025, 2514, 15095, 3512, 2030, 26997, 2100, 1012, 1045, 2064, 1005, 1056, 7499, 1996, 2396, 5501, 1010, 4950, 3626, 1010, 2030, 2472, 2703, 11338, 25698, 5289, 2005, 1996, 2143, 1005, 1055, 22252, 4902, 2084, 1045, 2064, 7499, 1996, 5889, 1012, 1045, 1005, 1049, 4452, 2008, 2026, 3471, 2007, 1996, 2143, 2024, 3141, 2000, 1996, 5896, 1010, 2030, 2062, 4919, 1996, 2466, 2993, 1010, 2013, 2034, 2051, 3444, 3213, 4463, 15488, 22360, 7903, 1012, 1996, 2717, 1997, 1996, 1520, 7968, 2099, 1521, 2537, 2428, 2323, 1005, 2310, 4384, 1996, 14546, 20828, 1998, 21775, 1006, 2241, 2006, 1996, 4966, 1005, 1055, 26279, 1010, 3071, 2001, 20641, 2011, 1996, 20828, 1007, 1012, 2087, 1997, 1996, 2969, 1011, 5204, 1010, 19551, 7982, 2003, 2307, 1010, 2242, 2524, 2000, 2424, 2122, 2420, 1010, 1998, 1996, 2275, 1011, 2039, 2003, 5024, 1012, 1045, 2074, 6257, 2027, 1005, 1040, 5881, 2007, 2009, 1012, 2065, 3140, 2000, 12826, 1996, 2460, 2746, 2015, 2000, 2178, 2143, 1045, 1005, 1040, 2391, 2157, 2012, 23264, 14647, 6586, 1012, 2119, 3152, 2228, 2027, 1005, 2128, 2062, 12266, 2084, 2027, 2941, 2024, 1010, 2009, 2074, 6433, 2008, 5341, 2193, 22889, 6777, 2378, 2003, 3492, 18243, 2078, 12266, 1010, 2012, 2560, 2005, 2055, 10920, 2781, 2030, 2061, 1012, 4067, 15003, 2005, 2235, 7927, 2015, 1010, 2157, 1029, 1045, 1005, 2310, 2272, 2000, 5987, 9078, 15210, 2013, 11067, 3688, 1010, 1998, 2027, 4033, 1005, 1056, 3478, 2033, 2182, 1012, 2004, 1045, 1005, 2310, 3090, 2058, 1998, 2058, 1999, 2026, 3444, 3319, 1010, 1996, 16434, 2003, 14395, 9882, 1010, 1998, 2006, 4653, 2182, 2009, 3504, 2307, 1012, 8604, 2024, 4138, 1998, 4408, 2302, 2296, 13426, 2075, 1006, 4983, 1997, 2607, 2027, 1005, 2128, 3214, 2000, 1007, 1012, 10823, 2024, 2304, 1010, 2302, 2151, 17725, 5005, 1012, 6987, 2003, 5186, 2152, 1010, 2070, 1997, 1996, 3284, 1045, 1005, 2310, 2464, 1999, 1037, 2512, 1011, 3617, 3444, 1010, 2021, 2023, 6987, 5260, 2000, 1996, 4651, 1005, 1055, 2069, 2613, 2460, 18935, 1517, 3341, 22415, 1012, 2196, 2003, 2023, 3341, 22415, 2919, 2438, 2000, 2468, 25012, 1010, 1998, 2009, 2069, 6433, 2006, 6686, 1010, 2788, 2076, 5263, 4950, 5829, 1012, 2028, 2453, 1005, 2310, 5071, 1010, 1998, 1045, 1005, 1049, 3331, 2055, 2870, 2182, 1010, 2008, 2107, 1037, 5099, 2559, 3444, 2052, 16462, 1037, 5099, 1010, 4816, 6050, 1012, 2295, 2045, 2024, 1037, 2261, 5312, 1997, 5099, 2791, 1010, 1996, 9625, 1997, 1996, 2143, 1005, 1055, 2189, 2003, 2593, 11259, 1998, 3730, 1010, 2030, 2502, 1998, 2058, 14626, 6918, 1012, 2009, 1005, 1055, 2785, 1997, 2004, 2065, 2198, 3766, 1998, 7003, 1062, 5714, 5017, 2018, 2522, 1011, 3195, 1996, 23834, 2044, 3666, 5843, 4518, 1998, 2048, 9422, 13826, 1012, 1996, 4966, 1005, 1055, 1019, 1012, 1015, 2079, 14510, 3617, 6050, 2003, 8478, 2189, 7968, 1010, 2007, 2613, 22625, 1012, 2614, 2640, 2003, 8053, 15594, 1010, 1998, 1996, 15161, 6833, 2024, 3161, 10862, 2083, 1011, 2041, 1012, 2045, 2003, 1037, 23760, 2613, 3168, 2000, 1996, 2972, 2143, 1010, 1998, 2009, 2573, 2092, 2006, 1996, 2650, 1012, 7982, 2003, 8857, 1998, 3154, 1012, 2035, 2105, 1996, 5746, 8312, 3475, 1005, 1056, 2004, 13432, 2004, 2242, 2066, 7494, 2797, 4575, 1010, 2021, 5791, 2004, 2204, 2004, 2028, 2097, 2412, 2963, 2006, 1037, 5396, 5166, 10874, 1012, 1045, 1005, 2222, 2707, 2073, 1045, 2467, 2079, 1010, 2007, 1996, 5746, 21241, 1012, 1996, 2034, 1010, 2472, 2703, 11338, 25698, 5289, 1005, 1055, 3948, 2650, 2003, 1996, 2488, 1997, 1996, 2048, 1012, 11338, 25698, 5289, 2003, 4569, 2000, 4952, 2000, 1006, 2763, 3262, 2138, 2002, 2038, 1037, 4104, 9669, 1007, 1010, 1998, 2003, 2440, 1997, 2592, 1012, 2002, 25803, 2015, 2010, 2553, 1010, 1998, 2009, 1005, 1055, 1037, 11519, 2028, 1012, 5962, 2000, 2032, 2831, 2055, 1996, 2437, 1997, 1996, 2143, 1998, 2054, 2009, 3214, 2000, 2032, 2941, 2081, 2033, 2066, 1996, 2143, 2993, 1037, 2210, 2062, 1012, 1996, 2117, 8570, 1010, 3794, 5889, 6498, 7530, 15361, 1998, 7004, 11320, 2072, 9188, 2362, 2007, 3213, 15488, 22360, 7903, 3475, 1005, 1056, 2919, 1010, 2021, 2038, 2205, 2116, 8744, 2015, 7516, 1012, 7530, 15361, 1998, 11320, 2072, 4995, 1005, 1056, 2200, 11973, 1010, 1998, 8526, 1999, 3243, 1037, 2978, 1997, 2067, 22021, 1012, 15488, 22360, 7903, 2003, 2012, 2560, 7568, 2055, 1996, 2650, 1010, 1998, 2036, 3849, 2000, 2022, 5962, 2000, 1996, 3364, 2650, 2007, 1996, 2143, 1010, 2004, 2002, 28049, 2008, 2002, 1005, 1055, 5262, 2108, 5493, 2046, 1996, 2650, 1010, 1998, 2941, 6998, 2070, 1997, 1996, 3364, 1005, 1055, 3980, 1012, 1996, 2060, 2590, 4469, 2003, 1996, 3074, 1997, 17159, 1998, 3668, 5019, 1010, 2431, 1997, 2029, 5142, 1996, 5795, 1005, 27571, 3619, 1998, 7530, 15361, 3772, 6057, 1012, 11338, 25698, 5289, 2038, 3718, 2122, 2005, 2119, 15732, 1010, 1998, 2000, 2562, 1996, 2422, 4309, 2000, 1037, 2978, 1997, 1037, 6263, 1012, 1045, 5993, 2007, 1996, 4654, 22987, 2075, 1997, 1996, 5019, 1010, 2021, 2009, 1005, 1055, 2205, 2919, 2000, 4558, 2070, 2307, 5335, 5312, 1012, 1996, 2000, 3064, 1520, 6585, 4566, 1521, 2003, 4766, 1998, 2069, 5836, 2019, 2130, 9904, 2735, 1996, 2143, 2633, 2071, 1005, 2310, 2579, 1012, 1996, 1520, 2369, 1996, 5019, 1521, 3444, 4674, 2003, 1010, 2004, 2003, 1996, 13373, 2006, 1037, 11067, 3688, 2713, 1010, 3262, 1037, 2146, 9117, 1010, 2007, 7568, 6818, 2058, 15838, 2037, 2147, 1012, 1996, 9117, 3074, 2006, 1996, 5860, 2074, 2055, 13974, 2296, 2512, 1011, 11799, 11417, 15493, 1521, 1055, 2713, 2144, 2037, 3338, 1011, 2125, 2013, 6373, 1012, 2065, 1996, 3444, 2930, 1997, 2023, 3319, 4165, 9587, 14287, 3993, 2009, 1005, 1055, 2138, 1045, 2428, 2245, 1045, 1005, 1040, 2179, 1037, 17070, 1999, 5341, 2193, 22889, 6777, 2378, 1012, 2026, 9523, 9364, 2001, 10827, 2138, 1045, 2001, 2428, 9107, 2870, 1012, 2023, 2003, 1037, 2986, 2143, 1010, 2021, 1996, 2197, 2353, 2003, 1037, 15298, 3357, 2091, 1012, 2026, 3319, 2089, 2614, 4498, 4997, 1999, 1996, 2203, 1010, 2021, 1045, 2145, 16755, 2012, 2560, 1037, 12635, 2005, 3087, 8025, 1012, 3383, 1045, 2292, 2026, 10908 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3913, 1997, 1996, 2455, 2013, 3181, 19820, 2072, 2288, 2594, 2000, 3968, 11239, 2099, 3449, 2141, 1010, 2182, 1521, 1055, 1037, 5101, 5009, 2000, 1996, 2103, 1012, 2474, 3347, 29109, 5643, 2696, 1024, 2023, 2181, 2247, 1037, 2093, 1011, 3542, 7683, 1997, 3509, 2003, 16480, 3600, 7875, 7878, 2007, 3509, 12792, 23621, 7884, 1010, 2029, 2024, 2204, 2021, 3976, 2100, 1012, 19820, 2072, 2288, 2594, 1024, 7623, 1521, 1055, 2214, 4284, 2003, 27797, 2011, 1996, 10789, 2474, 8223, 28522, 1012, 13558, 2009, 1998, 2191, 2115, 2126, 2039, 4714, 2217, 4534, 2000, 2474, 8945, 4226, 4360, 3006, 1998, 2091, 2000, 1996, 9379, 20228, 19629, 24964, 2389, 1012, 1048, 1521, 1041, 7646, 16613, 2571, 1024, 2007, 1996, 4182, 1999, 1996, 7313, 1521, 1055, 1997, 2023, 5331, 2000, 1996, 2214, 2237, 1010, 7623, 2150, 2028, 1997, 1996, 2261, 2647, 3655, 3740, 2006, 1037, 8370, 1012, 1996, 3413, 7416, 2290, 2139, 24665, 6305, 2401, 1010, 2007, 9542, 24611, 2015, 1998, 16524, 11721, 21041, 3121, 1010, 2003, 1996, 2181, 1521, 1055, 2364, 16749, 1012, 3449, 2141, 1024, 1996, 2896, 2930, 1997, 2474, 19395, 6906, 2003, 1037, 5781, 15079, 1997, 4867, 4534, 12788, 2105, 1996, 16625, 7788, 5040, 1997, 4203, 3814, 3972, 9388, 1012, 2017, 1521, 2222, 2424, 4658, 10271, 24611, 2015, 1998, 23812, 1012, 18318, 9103, 2594, 1024, 1996, 15167, 3137, 2682, 1996, 2103, 5372, 2003, 2188, 2000, 2087, 1997, 1996, 2103, 1521, 1055, 2190, 9941, 1012, 2202, 1996, 4569, 21412, 2013, 1996, 11498, 2140, 1011, 3393, 2140, 6005, 2644, 1012, 2043, 2000, 2175, 4283, 2000, 2095, 1011, 2461, 10256, 7715, 1010, 7623, 2003, 7812, 1999, 1996, 2991, 1010, 3500, 1010, 1998, 2220, 2621, 1012, 2011, 2257, 1010, 1996, 4633, 4332, 2980, 1998, 14178, 1012, 4586, 2003, 4678, 2076, 3467, 1010, 2021, 2022, 4810, 2005, 4542, 1012, 2012, 2069, 4229, 3262, 4257, 2675, 2661, 1010, 7623, 2003, 1037, 14662, 1521, 1055, 9097, 1012, 25964, 2024, 2036, 20228, 4765, 18424, 1010, 10036, 1010, 1998, 2064, 2022, 16586, 2006, 1996, 2395, 1012, 1996, 6005, 2003, 4550, 1998, 3733, 2000, 22149, 1012, 2416, 2980, 4438, 1998, 2047, 9275, 1012, 1996, 2282, 2640, 5683, 17660, 1006, 8855, 3536, 1025, 4550, 3210, 1007, 1010, 2004, 2515, 1996, 1999, 1011, 2160, 6983, 7842, 9521, 1012, 2021, 10062, 9341, 1521, 1055, 8709, 2378, 1011, 5652, 1010, 2715, 13973, 4825, 1010, 7842, 14194, 1010, 2003, 1037, 2293, 2299, 2000, 1996, 2103, 1012, 1002, 1002, 2190, 2005, 1024, 24611, 4658, 1999, 1037, 2430, 3295, 1012, 2474, 3347, 29109, 5643, 2696, 3475, 1521, 1056, 3599, 6556, 1010, 2021, 2023, 3509, 12792, 24581, 2145, 9020, 2000, 2514, 2521, 2185, 2013, 2009, 2035, 1012, 1996, 9078, 1999, 1996, 4920, 2003, 1996, 12098, 6030, 4825, 1010, 2448, 2011, 6388, 1011, 11112, 3022, 1059, 4048, 2480, 14262, 5856, 12098, 6030, 1012, 1002, 1002, 1002, 2190, 2005, 1024, 9542, 24071, 2040, 5684, 5730, 1011, 7510, 5328, 1012, 1037, 3522, 2191, 7840, 1997, 2023, 9026, 8214, 2794, 4413, 19796, 9669, 2098, 2007, 25336, 2813, 23298, 1012, 2065, 2009, 1521, 1055, 1037, 3221, 1997, 8003, 2080, 1006, 3009, 17951, 1007, 2017, 1521, 2128, 2044, 1010, 2123, 1521, 1056, 3335, 1996, 2252, 3762, 15544, 2368, 2139, 15544, 2368, 3347, 1012, 1002, 1002, 2190, 2005, 1024, 10205, 1997, 1996, 10002, 1012, 3744, 2053, 22909, 2140, 4247, 2000, 2191, 2010, 2928, 2006, 1996, 2103, 1012, 2023, 16866, 2003, 2035, 2055, 22349, 3221, 1010, 2317, 1011, 2006, 1011, 2317, 4734, 1010, 1998, 1037, 9610, 2278, 23308, 4770, 1012, 1002, 2190, 2005, 1024, 2640, 18015, 3111, 1012, 1996, 2034, 3309, 2011, 5859, 10717, 24471, 15549, 6030, 1010, 2006, 3413, 7416, 2290, 2139, 24665, 6305, 2401, 1010, 2003, 1037, 4666, 1997, 6949, 1011, 6910, 5898, 17774, 1998, 8397, 1010, 10059, 17779, 6198, 1010, 1998, 7222, 1012, 6781, 1024, 8228, 10026, 2482, 4168, 22949, 9289, 3709, 2050, 1521, 1055, 5312, 4825, 1012, 1002, 1002, 1002, 2190, 2005, 1024, 12138, 15183, 1999, 3945, 1997, 1037, 2210, 16729, 1012, 2074, 2125, 2474, 8223, 28522, 1010, 1996, 10601, 3309, 1521, 1055, 21185, 2021, 20670, 4734, 2024, 9412, 2007, 26208, 10127, 19016, 1999, 2691, 2752, 2011, 3128, 27254, 2063, 5276, 12716, 14124, 2015, 1012, 1002, 2190, 2005, 1024, 5166, 1011, 13128, 2396, 23176, 2015, 1012, 3309, 20874, 3145, 1002, 2625, 2084, 1002, 3263, 1002, 1002, 1002, 3263, 2000, 1002, 8698, 1002, 1002, 1002, 1002, 8698, 2000, 1002, 3156, 1002, 1002, 1002, 1002, 1002, 3156, 2000, 1002, 1015, 1010, 2199, 1002, 1002, 1002, 1002, 1002, 2062, 2084, 1002, 1015, 1010, 2199, 2559, 2005, 6276, 1011, 3341, 11216, 1029, 3151, 18762, 1029, 24151, 2160, 8059, 2015, 1029, 3191, 2006, 1012, 2474, 6410, 2632, 19362, 5867, 2527, 1024, 13560, 1010, 26778, 1010, 23590, 1010, 17632, 1011, 12073, 2098, 1024, 2023, 5824, 1011, 2095, 1011, 2214, 19820, 2072, 2288, 2594, 17176, 3917, 3084, 2035, 5450, 1997, 9686, 15455, 24714, 2229, 1012, 2522, 13320, 2532, 1024, 5859, 9508, 28517, 3567, 1521, 1055, 10565, 2003, 1996, 2173, 2000, 2424, 3944, 14464, 1998, 6739, 2135, 21727, 2154, 16689, 1012, 2474, 18856, 5498, 4226, 1024, 2023, 5099, 3449, 2141, 24611, 2038, 1037, 23148, 27633, 3351, 1997, 3132, 1011, 3179, 28130, 1998, 13528, 17072, 1998, 8629, 1012, 14163, 4779, 1024, 7623, 1521, 1055, 5541, 4306, 7340, 2182, 2005, 4678, 2808, 2006, 4827, 1010, 2396, 1010, 1998, 4294, 1012, 2330, 4580, 2622, 1024, 2503, 2023, 3916, 1010, 2017, 1521, 2222, 2424, 1037, 4989, 1997, 2715, 27885, 15759, 2015, 1040, 1521, 2396, 1010, 9889, 12121, 15019, 1010, 1998, 17314, 1012, 2011, 6098, 1012, 28774, 19092, 3981, 12283, 9686, 10841, 10581, 1061, 5495, 8943, 3793, 4014, 1024, 14077, 12409, 9508, 12943, 6692, 7677, 15187, 2014, 3011, 1011, 27604, 11228, 6961, 1998, 13324, 21011, 1999, 1037, 22445, 19459, 1999, 3449, 10958, 10175, 1012, 23840, 19354, 4221, 3540, 1024, 2338, 1037, 18767, 2012, 2023, 3770, 1011, 2095, 1011, 2214, 4511, 3573, 1010, 2029, 15768, 2062, 2084, 1021, 1010, 2199, 10873, 1012, 19354, 8663, 1024, 4638, 2041, 1996, 2640, 7861, 17822, 5007, 2005, 2511, 20672, 1006, 6819, 6494, 1025, 2852, 9541, 2290, 1007, 1998, 2062, 2041, 2890, 4973, 2066, 27418, 4900, 2015, 1521, 1055, 26762, 2472, 1521, 1055, 8397, 1012, 1056, 1009, 1048, 5955, 1024, 2005, 2019, 25297, 1521, 1055, 6023, 2778, 1997, 1996, 2103, 1010, 2338, 2007, 27763, 5685, 5092, 21823, 10997, 1012, 4012, 1012, 2156, 1009, 2079, 1996, 2103, 1997, 11721, 21041, 2038, 14518, 2396, 20296, 1012, 2176, 2000, 2131, 2017, 2318, 1012, 28144, 12083, 1024, 1999, 2023, 2640, 2415, 1521, 1055, 2047, 15813, 1011, 1998, 1011, 3221, 2311, 1010, 4649, 1043, 10626, 3111, 1010, 2054, 2001, 3839, 1037, 4487, 27694, 3686, 4773, 1997, 7477, 1010, 18762, 1010, 17314, 1010, 1998, 8425, 1011, 2640, 6407, 2097, 2022, 7431, 2104, 2028, 4412, 1012, 27985, 19739, 5349, 1024, 2005, 1037, 8279, 13004, 1997, 9865, 2072, 11721, 21041, 1010, 2202, 1037, 27244, 2083, 2023, 1059, 14341, 19570, 2389, 3871, 3375, 2328, 1999, 1996, 2220, 5141, 1521, 1055, 2006, 1037, 2940, 12549, 1996, 2103, 1999, 24665, 6305, 2401, 1012, 4636, 21361, 7437, 14719, 2080, 1024, 5023, 2426, 1996, 3628, 1997, 18318, 9103, 2594, 1010, 4944, 4560, 2361, 2222, 27020, 14262, 2102, 1521, 1055, 18242, 2317, 3252, 3065, 2125, 2416, 12807, 5109, 1997, 2573, 2011, 3128, 16524, 2923, 7437, 14719, 2080, 1012, 6097, 3676, 1024, 2957, 19734, 2121, 1521, 1055, 2786, 27443, 2311, 3397, 2019, 8052, 3074, 1997, 3983, 1011, 2301, 1998, 3824, 2396, 1024, 12223, 2063, 1010, 27182, 1010, 4717, 2050, 1011, 5215, 1010, 11112, 3111, 1012, 7623, 2003, 2440, 1997, 6388, 7884, 1010, 23621, 22200, 2015, 1010, 1998, 1010, 1997, 2607, 1010, 11112, 3022, 6963, 1012, 9735, 1024, 10768, 28327, 4748, 4360, 1998, 2010, 2567, 12007, 1521, 1055, 2034, 3962, 2144, 5494, 3449, 7087, 2072, 2003, 1037, 12138, 11112, 3022, 2173, 2007, 3809, 20323, 1024, 6381, 9724, 2015, 1025, 8153, 1011, 4857, 24799, 7579, 2007, 16985, 7559, 2063, 1998, 11840, 20944, 1025, 18670, 8915, 8737, 4648, 1012, 2123, 1521, 1056, 3335, 1996, 2160, 1011, 2081, 12348, 2061, 15185, 8454, 1012, 1002, 1002, 1002, 2632, 21138, 2401, 1024, 18439, 1010, 2125, 19442, 3138, 2006, 3151, 13973, 10447, 2024, 1996, 3115, 2012, 10026, 8183, 17080, 23840, 1521, 1055, 21185, 2686, 1012, 1996, 12183, 2950, 26596, 12984, 23621, 1006, 5785, 2007, 11374, 3560, 10196, 1998, 12306, 23582, 1007, 1998, 26192, 2094, 1011, 2000, 1011, 15401, 6240, 2015, 1006, 21025, 20715, 4103, 2007, 3409, 8486, 12901, 1998, 4060, 4244, 1007, 1010, 5642, 2011, 2019, 6581, 4511, 4989, 1012, 1002, 1002, 1002, 19557, 2278, 4825, 1004, 3309, 1024, 2750, 1996, 2521, 1011, 4514, 3295, 1010, 2023, 2152, 1011, 2203, 4825, 3529, 21933, 23808, 6820, 10985, 9253, 1011, 13973, 12846, 2038, 2042, 1037, 2373, 1011, 6265, 7688, 2412, 2144, 10026, 8183, 17080, 8096, 3687, 2009, 1037, 2117, 8709, 2378, 2732, 2023, 2095, 1012, 2344, 6315, 10654, 21046, 2007, 24188, 5134, 1998, 12731, 24894, 5677, 4586, 2628, 2011, 8766, 3256, 6949, 2007, 10930, 27390, 2102, 1998, 6546, 24816, 1012, 1002, 1002, 1002, 1002, 12312, 2015, 5530, 2891, 1010, 12731, 26455, 2015, 1004, 2522, 1012, 1024, 1996, 12760, 2182, 2272, 2013, 10026, 1011, 3954, 2030, 20282, 20996, 24093, 1521, 1055, 3518, 3888, 1010, 2021, 19328, 2024, 16452, 4427, 1024, 8945, 7020, 3286, 1006, 4759, 15960, 21122, 2015, 1007, 1025, 9610, 7507, 18933, 5267, 1025, 8351, 1011, 6501, 12731, 4103, 2007, 18040, 6861, 1012, 1002, 1002, 2064, 2158, 2080, 1024, 3693, 1996, 10575, 1998, 2240, 2039, 2648, 2023, 2053, 1011, 10424, 8591, 2015, 23621, 26449, 1999, 2474, 3347, 29109, 5643, 2696, 2005, 13017, 2396, 7033, 11045, 2015, 1998, 10250, 8067, 3089, 8871, 2091, 2007, 8994, 1011, 6910, 9587, 15782, 9834, 4511, 1012, 2260, 12385, 1012, 3972, 28352, 6692, 4103, 1025, 4090, 1013, 6109, 1011, 26499, 1011, 24232, 2475, 1012, 1002, 1002, 2256, 2093, 1011, 2644, 2009, 26455, 5649, 1997, 1996, 2103, 1521, 1055, 2190, 14469, 6963, 1012, 3347, 8292, 24458, 16016, 11610, 1024, 9831, 2006, 9985, 3064, 24318, 1037, 2474, 26033, 29107, 1998, 15082, 18856, 13596, 2012, 2023, 11529, 1999, 3449, 2141, 1012, 2753, 12385, 1012, 2139, 2474, 12000, 2050, 1025, 4090, 1013, 6109, 1011, 22904, 1011, 2199, 2575, 1012, 1002, 1002, 21864, 11368, 1004, 21864, 11368, 1024, 4438, 20482, 10447, 2007, 1037, 9792, 4009, 12783, 2296, 2305, 1012, 3046, 1996, 11840, 9370, 2007, 6861, 1012, 1002, 1002, 11112, 3022, 1010, 2484, 1024, 2235, 7766, 1998, 19817, 16093, 21031, 1011, 17958, 10654, 1011, 1998, 1011, 8808, 22094, 2024, 13303, 2007, 7395, 1997, 7967, 9587, 17854, 2063, 2012, 10026, 5529, 2229, 16768, 5802, 1521, 1055, 2759, 2047, 6891, 1012, 25717, 12385, 1012, 2139, 2474, 16510, 13210, 9793, 1012, 1002, 1002, 2176, 2047, 2980, 7516, 1012, 22765, 5428, 3540, 1013, 1996, 4545, 1024, 2017, 1521, 2222, 2424, 1996, 5156, 3009, 18901, 2015, 2012, 2122, 2048, 28276, 6963, 1010, 2021, 1996, 7224, 1517, 3164, 27763, 1998, 1037, 3543, 1997, 5413, 23565, 7373, 1517, 2003, 2028, 1997, 1037, 2785, 1012, 1002, 1002, 1002, 8313, 2050, 28461, 7623, 1024, 4944, 3744, 2053, 22909, 2140, 2074, 10601, 2023, 3708, 1011, 2301, 2093, 1011, 2504, 2686, 1010, 2029, 2950, 1037, 2759, 12702, 13578, 13777, 2100, 1998, 4511, 3347, 1012, 1002, 1002, 4318, 24480, 1024, 2369, 1037, 25361, 5507, 3536, 1011, 5997, 2098, 3347, 2024, 5216, 2588, 5216, 1997, 18353, 1998, 2310, 10867, 17167, 11015, 1010, 2029, 2317, 1011, 10722, 19068, 29099, 15610, 2015, 4666, 6739, 2135, 1012, 1002, 1002, 1002, 4825, 20874, 3145, 1002, 2625, 2084, 1002, 2423, 1002, 1002, 1002, 2423, 2000, 1002, 4293, 1002, 1002, 1002, 1002, 4293, 2000, 1002, 5018, 1002, 1002, 1002, 1002, 2062, 2084, 1002, 5018, 2131, 2019, 25297, 1521, 1055, 19043, 2012, 1996, 2103, 2013, 2093, 12493, 1012, 10026, 1997, 1996, 8709, 2378, 1011, 5652, 4825, 11721, 8004, 7623, 2038, 2673, 1045, 2071, 2412, 2215, 1999, 1037, 2103, 1012, 1045, 4965, 4840, 3965, 2005, 2026, 7884, 2012, 2474, 8945, 4226, 4360, 3006, 1010, 1999, 1996, 2214, 4284, 1012, 1060, 16613, 19092, 3388, 1006, 1002, 1002, 1007, 1010, 1999, 3449, 2141, 1010, 2003, 2026, 2175, 1011, 2000, 3962, 2005, 1037, 3221, 1997, 6187, 3567, 1998, 11112, 3022, 1012, 1006, 3046, 1996, 9543, 7228, 14163, 21218, 2015, 1998, 18856, 13596, 1012, 1007, 2043, 1045, 2342, 7780, 1010, 1045, 2175, 13039, 1999, 1996, 8902, 4877, 10624, 2721, 4020, 1012, 2027, 2031, 1037, 2898, 3528, 1997, 4264, 1998, 2024, 2069, 1037, 2382, 1011, 3371, 3298, 2167, 1997, 1996, 2103, 2415, 1012, 4944, 2369, 3449, 2141, 2688, 3383, 2009, 1521, 1055, 2138, 1045, 1521, 1049, 2019, 4944, 1010, 2021, 1045, 2066, 2000, 2156, 7623, 2013, 2682, 1012, 1996, 29533, 22923, 6644, 4536, 2682, 1996, 2103, 2012, 14841, 17062, 7875, 2080, 2380, 2003, 8687, 1012, 2006, 13499, 1010, 1045, 5959, 11131, 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, 3087, 2040, 4282, 2033, 2651, 2052, 6235, 2033, 2004, 1523, 6239, 1011, 4689, 1524, 1998, 2027, 2031, 2204, 3114, 2000, 2079, 2061, 1025, 1045, 3604, 2000, 6239, 2062, 2411, 2084, 5973, 2842, 1998, 2043, 1045, 1521, 1049, 2025, 2182, 1010, 1045, 5247, 2087, 1997, 2026, 2051, 4129, 3071, 2008, 1045, 4299, 1045, 2020, 1012, 1045, 2031, 2036, 5407, 2046, 1996, 2919, 10427, 1997, 6809, 9003, 2616, 2046, 2026, 2394, 1998, 2139, 16467, 2051, 2169, 2733, 2000, 4363, 2039, 2007, 9003, 2783, 3821, 1012, 1045, 1521, 1040, 2360, 1045, 1521, 1049, 2092, 1998, 5621, 13322, 1012, 2174, 1010, 2054, 2087, 2111, 2123, 1521, 1056, 2113, 2003, 2008, 2074, 2058, 2048, 2086, 3283, 1045, 2018, 2196, 2042, 2000, 6239, 1010, 2481, 1521, 1056, 3713, 1996, 2653, 1998, 2354, 2279, 2000, 2498, 2055, 2049, 3226, 2030, 4331, 1012, 2025, 2069, 2001, 1045, 11499, 1998, 26252, 2021, 2036, 4487, 11493, 3334, 17944, 1025, 1996, 5724, 2000, 4553, 9003, 1010, 2292, 2894, 2151, 4004, 2653, 1010, 2018, 2196, 2042, 1037, 9470, 2005, 2033, 1012, 2054, 13330, 2033, 2000, 4088, 2000, 4553, 9003, 2001, 1996, 9095, 1999, 2026, 4021, 1011, 3534, 2913, 3014, 1006, 2029, 1045, 2018, 4217, 2349, 2000, 2026, 3037, 1999, 1996, 3534, 1007, 2008, 1045, 2350, 1999, 2019, 4004, 2653, 1012, 1045, 2941, 4061, 2146, 1998, 2524, 2000, 11826, 2023, 9095, 1025, 1045, 2001, 10326, 2000, 3613, 2007, 2446, 1010, 2029, 1045, 2018, 2042, 2525, 5702, 2005, 2698, 2086, 1010, 1998, 2134, 1521, 1056, 2156, 1037, 3114, 2000, 2689, 1012, 2174, 1010, 2044, 2195, 7736, 6295, 2007, 12655, 1998, 2565, 10669, 2015, 1010, 1045, 3970, 4154, 1998, 8302, 1999, 2019, 9003, 2350, 1012, 2096, 1045, 2001, 2738, 4487, 28745, 15532, 14782, 2012, 1996, 2051, 1010, 1999, 22307, 13102, 22471, 2009, 2001, 2028, 1997, 1996, 2190, 6567, 1045, 2412, 2081, 1012, 1045, 4900, 9003, 2058, 2822, 1010, 2887, 1998, 2060, 4155, 2138, 1045, 2001, 1010, 2065, 1045, 1521, 1049, 3581, 1010, 13971, 1012, 1045, 2001, 2525, 11654, 2055, 2383, 2000, 4553, 1037, 2653, 1045, 2018, 2210, 3037, 1999, 1998, 2787, 2000, 2191, 2054, 1045, 8690, 2000, 2022, 1037, 1523, 10859, 1524, 6082, 2006, 2870, 2011, 13423, 2000, 3763, 3494, 1012, 2096, 1045, 4299, 1045, 2018, 1037, 2062, 4748, 14503, 3085, 3114, 2005, 10549, 2000, 28866, 2006, 2054, 2038, 2468, 2026, 3154, 4355, 2166, 4130, 2061, 2521, 1010, 1045, 2572, 6600, 8794, 2008, 2026, 3014, 3724, 2033, 2000, 19148, 1996, 3643, 1997, 11973, 2007, 2256, 7541, 4004, 20065, 1012, 16047, 1045, 2064, 2085, 2228, 1997, 1037, 2454, 2488, 4436, 2339, 4083, 9003, 2003, 1037, 2204, 2801, 1998, 1045, 1521, 1049, 2183, 2000, 3745, 2274, 1997, 2068, 1999, 1996, 3246, 2008, 2017, 2453, 2022, 4427, 2000, 2191, 1996, 6047, 1006, 2025, 13971, 1007, 3247, 2000, 3579, 2115, 2476, 2006, 6239, 1012, 14531, 1997, 1999, 1011, 2406, 2817, 3454, 1998, 15691, 2800, 1045, 3855, 3041, 2008, 2026, 3037, 1999, 6239, 2211, 2069, 2654, 2706, 3283, 1010, 1999, 2254, 2286, 1012, 2174, 2054, 1045, 4033, 1521, 1056, 2409, 2017, 2664, 2003, 2008, 1045, 1521, 2310, 2042, 2583, 2000, 5247, 2260, 1997, 2216, 2706, 1999, 6239, 4283, 2000, 1996, 2898, 2846, 1997, 1999, 1011, 2406, 2817, 3454, 1010, 22676, 6695, 1998, 15691, 2800, 2000, 15739, 1012, 1999, 2026, 2034, 2095, 1997, 9003, 2817, 1010, 1045, 3266, 2000, 3143, 2416, 13609, 2015, 1521, 4276, 1997, 2653, 4083, 2306, 2028, 2095, 4283, 2000, 2019, 11806, 1999, 1011, 2406, 9003, 2565, 2448, 2011, 2938, 3148, 11333, 28621, 3017, 2118, 1999, 2430, 9262, 1012, 14255, 10322, 2072, 1006, 2565, 20014, 6132, 10128, 13253, 3736, 4907, 13007, 12186, 6239, 1007, 3640, 2093, 1011, 2733, 2797, 2030, 2177, 9003, 5352, 2029, 1041, 16211, 2618, 2000, 2028, 13609, 4276, 1997, 2817, 2012, 1996, 2827, 2120, 2118, 1010, 2004, 2092, 2004, 2195, 2060, 2827, 4256, 5534, 1012, 1045, 8420, 2026, 9003, 2817, 2007, 2048, 2067, 1011, 2000, 1011, 2067, 5352, 1999, 2254, 1013, 2337, 2286, 1010, 2106, 2028, 2607, 1997, 9003, 2012, 2019, 2226, 1999, 13609, 1015, 2286, 1010, 2513, 2000, 14255, 10322, 2072, 2005, 2048, 5352, 1999, 2238, 1013, 2251, 2286, 1998, 2633, 2949, 3935, 9003, 1038, 2012, 2019, 2226, 1999, 13609, 1016, 2286, 1012, 2096, 13675, 3286, 6562, 2019, 2972, 2653, 2350, 2046, 1037, 2095, 2089, 2025, 2022, 2005, 3071, 1010, 1999, 1011, 2406, 11806, 5352, 3073, 1037, 2307, 2126, 2000, 3435, 1011, 2650, 2115, 2913, 1010, 6611, 2115, 2653, 4813, 1999, 6742, 8146, 1998, 2131, 1037, 5510, 1997, 9003, 3226, 1012, 1045, 2018, 1037, 10392, 3325, 2012, 14255, 10322, 2072, 1998, 2064, 2036, 16755, 2178, 11806, 1999, 1011, 2406, 2607, 2195, 1997, 2026, 2814, 2031, 2579, 1999, 8840, 13344, 2243, 1010, 2029, 2003, 2448, 2011, 1996, 3164, 5534, 9003, 2653, 6349, 1006, 21766, 18622, 1007, 1999, 5792, 2007, 1996, 2118, 1997, 22640, 6444, 1012, 2044, 2893, 1037, 10616, 1997, 9003, 2653, 1998, 3226, 2076, 2026, 2034, 2095, 1997, 2817, 2009, 2134, 1521, 1056, 2202, 2146, 2005, 2033, 2000, 5630, 2008, 1045, 2052, 2275, 2026, 15925, 2006, 6239, 2005, 1996, 18921, 19763, 3085, 2925, 1012, 1045, 2428, 5632, 1996, 2051, 1045, 2985, 1999, 1011, 2406, 2062, 2084, 2505, 2842, 1998, 3568, 2787, 2000, 10797, 2000, 1037, 2936, 2558, 1999, 6239, 2083, 1996, 2827, 12360, 2005, 1999, 1011, 2406, 9003, 2913, 1006, 9353, 28775, 2015, 1007, 1012, 9353, 28775, 2015, 4107, 1037, 3528, 1997, 13609, 1011, 2146, 3454, 1010, 1999, 2536, 9003, 5269, 1010, 7478, 2013, 2653, 5352, 2000, 2492, 2470, 11073, 2015, 1998, 2458, 2913, 27013, 3454, 1012, 9353, 28775, 2015, 2036, 2038, 7820, 1011, 2744, 22676, 11073, 2015, 2007, 8593, 1999, 14426, 1998, 6974, 1012, 1999, 2026, 2553, 1010, 1045, 2949, 2019, 3863, 2012, 11721, 2094, 18878, 5506, 2050, 2118, 1999, 10930, 6292, 11905, 13320, 2197, 13609, 2073, 1045, 2165, 4280, 1006, 4036, 1999, 9003, 1007, 2013, 1996, 18658, 1997, 2375, 1998, 2591, 4163, 1012, 2023, 13609, 1045, 2572, 18457, 2470, 2096, 2241, 2012, 7187, 8717, 2232, 2118, 1999, 28935, 3070, 1012, 1045, 2001, 5341, 2438, 2000, 4374, 1037, 2047, 16224, 2933, 6566, 2000, 2490, 2026, 9353, 28775, 2015, 3325, 2004, 2092, 2004, 1037, 13609, 1997, 25204, 2075, 2029, 1045, 2097, 3143, 2076, 1996, 2117, 2431, 1997, 2023, 2095, 1012, 1996, 2047, 16224, 2933, 2003, 1037, 2047, 6349, 2011, 1996, 2231, 5378, 15691, 1997, 2039, 2000, 1002, 3515, 1010, 2199, 1998, 12969, 8624, 1997, 9671, 8310, 2000, 2827, 2493, 18457, 2817, 1998, 22676, 3454, 1999, 1996, 11424, 1011, 3534, 2555, 1012, 2178, 2231, 6566, 2800, 2005, 2817, 1999, 6239, 2003, 1996, 3539, 2704, 1521, 1055, 26911, 2400, 1012, 2023, 4107, 1037, 2714, 3815, 1997, 4804, 2000, 1996, 2047, 16224, 2933, 6566, 1012, 5097, 2005, 2119, 1996, 2047, 16224, 2933, 1998, 26911, 2400, 2342, 2000, 2022, 2081, 2076, 1996, 4646, 2558, 2000, 2115, 2118, 1010, 2029, 2097, 2059, 23388, 1037, 2275, 2193, 1997, 2493, 2000, 1996, 2231, 2005, 9584, 1012, 1999, 2804, 2000, 1996, 1999, 1011, 2406, 6695, 2029, 2433, 2112, 1997, 2026, 3167, 3325, 1010, 1045, 2031, 2777, 2116, 2814, 1999, 6239, 2040, 2024, 5702, 2030, 25204, 2075, 2182, 2083, 1037, 20889, 1997, 2060, 3454, 1012, 9932, 6810, 2278, 1998, 22676, 6239, 3749, 2119, 2493, 1998, 10845, 6695, 2000, 2131, 6742, 3325, 1999, 1037, 2892, 1011, 3451, 4292, 1012, 1996, 9003, 2231, 1521, 1055, 18243, 9335, 2483, 4213, 2565, 8624, 15691, 2000, 2248, 2493, 2013, 2035, 2105, 1996, 2088, 2000, 16617, 2653, 1998, 2060, 2817, 2012, 2116, 1997, 6239, 1521, 1055, 2327, 5534, 1012, 2065, 2017, 2024, 2044, 2242, 7820, 1011, 2744, 1010, 1996, 2660, 1011, 6239, 3360, 3863, 2565, 1998, 5152, 3863, 2565, 2507, 2402, 15739, 1998, 9003, 2015, 1996, 4495, 2000, 3325, 2028, 2178, 1521, 1055, 8578, 1012, 2017, 2064, 2036, 4638, 2041, 1996, 2660, 1011, 6239, 3360, 2523, 1521, 1055, 4037, 1998, 9130, 3931, 2005, 2739, 2006, 3176, 9046, 1999, 1011, 2406, 6695, 1012, 2660, 1521, 1055, 3037, 1999, 6239, 2003, 2844, 1998, 4852, 1045, 1521, 1049, 2025, 2183, 2000, 29211, 2006, 2023, 2391, 2138, 2660, 1521, 1055, 3652, 5211, 1999, 6239, 2003, 3154, 2013, 1996, 2865, 1025, 2174, 2054, 1045, 2097, 2360, 2003, 2008, 4083, 2055, 6239, 2064, 27258, 2135, 3623, 2115, 6107, 16746, 1012, 2004, 4021, 1521, 1055, 3171, 1998, 2576, 2373, 24545, 1010, 2116, 1997, 1996, 2088, 1521, 1055, 3151, 1523, 4204, 1524, 2031, 3579, 6924, 2006, 16003, 2037, 6550, 2007, 3032, 1999, 1996, 11424, 1011, 3534, 2000, 10956, 3618, 6792, 2306, 1996, 2248, 2451, 1012, 2004, 2660, 1521, 1055, 7541, 4004, 20065, 1010, 6239, 2038, 11177, 2135, 2468, 1037, 3579, 2391, 2005, 2256, 2231, 1012, 2011, 8550, 9003, 2653, 4813, 1998, 3451, 3325, 2017, 2024, 2437, 4426, 2062, 12666, 3085, 1999, 5543, 1010, 2270, 3343, 1010, 2458, 1998, 2074, 2055, 2151, 2060, 4753, 2005, 2256, 1523, 4021, 1011, 9358, 7277, 1524, 2925, 1012, 12158, 1998, 9183, 23661, 1045, 2572, 2025, 7098, 2008, 1045, 2318, 2000, 4553, 9003, 2138, 1045, 2001, 10468, 2667, 2000, 2298, 2005, 2019, 1523, 3733, 5724, 1524, 2306, 1996, 8391, 1997, 4004, 2653, 4083, 1025, 2174, 1996, 2755, 2145, 4832, 2008, 5702, 9003, 2515, 5478, 9839, 2625, 3947, 4102, 2000, 2116, 2060, 4155, 1012, 2025, 2069, 2515, 9003, 2224, 1996, 3763, 12440, 2021, 2009, 2036, 2987, 1521, 1056, 2031, 5907, 2015, 1010, 3572, 2030, 9049, 2015, 1010, 2035, 1997, 2029, 1045, 6915, 2007, 2076, 2026, 2086, 1997, 2446, 2817, 1012, 1045, 3266, 2000, 18759, 1037, 2504, 1997, 2653, 3754, 2000, 1523, 2131, 2011, 1524, 3243, 4089, 1037, 2261, 3134, 2046, 2026, 2034, 11806, 9003, 2607, 1010, 2029, 2003, 2242, 2008, 2052, 2031, 2579, 2033, 2172, 2936, 2000, 6162, 1999, 2087, 2060, 4155, 1012, 1999, 2804, 2000, 2049, 2653, 2108, 4659, 3733, 1010, 6239, 2003, 7801, 20969, 1998, 13732, 2005, 15739, 4102, 2000, 2060, 4021, 1011, 3534, 5269, 1012, 1037, 2028, 1011, 2126, 7281, 2000, 2087, 9003, 3655, 3081, 15490, 17761, 1010, 14426, 2030, 20222, 2097, 3465, 2017, 2019, 2779, 1997, 1002, 3998, 2000, 1002, 6352, 1010, 2029, 2003, 2172, 16269, 2084, 1996, 6263, 1002, 6694, 2000, 2131, 2000, 2885, 2030, 4004, 3032, 2582, 2013, 2660, 1006, 2107, 2004, 2859, 2030, 2634, 1007, 1012, 7297, 1010, 1996, 12382, 3863, 3446, 1997, 1015, 8740, 2094, 2000, 3155, 2184, 1010, 2199, 8909, 2099, 2965, 2008, 1996, 3465, 1997, 2542, 1999, 6239, 2003, 3227, 2200, 15184, 2005, 15739, 1012, 3019, 1998, 3451, 8906, 2965, 2045, 1521, 1055, 2242, 2005, 3071, 2028, 1997, 1996, 4602, 2477, 2055, 6239, 2003, 2049, 8906, 1025, 2045, 4995, 1521, 1056, 2116, 3032, 1999, 1996, 2088, 2008, 2024, 2004, 3802, 7295, 13705, 3973, 1998, 20969, 7578, 2004, 6239, 1012, 2096, 2087, 15040, 1999, 6239, 7166, 2000, 3612, 2039, 1999, 9262, 2030, 20222, 1010, 2045, 2024, 2178, 2385, 1010, 5585, 2620, 3470, 1006, 2116, 2007, 4310, 7443, 1998, 11976, 1007, 2029, 2017, 2064, 2191, 2115, 5741, 2188, 2065, 4445, 1997, 2122, 9023, 2000, 2017, 1012, 3923, 2030, 3541, 1010, 14897, 2030, 5133, 1010, 2715, 2030, 3151, 1010, 5499, 2030, 3017, 2030, 7560, 2030, 2019, 27605, 10074, 1025, 6239, 27594, 2015, 2017, 2005, 3601, 999, 6429, 6209, 14345, 2006, 2115, 26581, 2065, 2025, 1996, 2087, 2590, 3114, 1010, 5702, 1999, 6239, 2965, 2008, 2019, 14531, 1997, 6429, 12212, 1010, 4020, 1010, 3655, 1998, 4731, 2024, 2006, 2115, 26581, 2005, 5353, 2030, 13609, 3338, 2131, 9497, 2015, 1012, 3251, 2017, 2514, 2066, 10313, 6834, 2039, 4057, 15544, 2078, 8405, 2072, 1010, 3773, 3748, 2030, 5654, 13210, 3619, 1999, 19924, 2386, 5794, 1010, 4688, 2006, 1996, 3509, 1999, 17343, 2030, 2283, 2075, 1996, 5353, 2185, 2006, 13097, 2072, 19817, 25903, 5289, 1010, 2009, 1521, 1055, 2035, 2045, 1998, 4089, 7801, 2011, 1037, 3232, 1997, 2847, 2006, 1037, 4946, 1010, 4049, 1010, 3902, 2030, 3345, 1006, 5834, 2006, 2073, 1999, 1996, 13888, 2017, 2203, 2039, 1007, 1012, 2031, 1045, 6427, 2017, 2000, 4553, 9003, 1029, 1045, 3246, 1045, 2031, 3266, 2000, 13984, 2017, 2008, 3579, 7741, 2006, 6239, 2003, 2025, 2069, 2019, 1523, 3733, 1524, 2126, 2000, 6718, 1011, 2039, 2005, 1996, 4004, 2301, 2021, 2062, 14780, 1037, 12732, 2008, 2097, 17319, 2022, 22249, 1010, 5909, 3993, 1998, 2440, 1997, 4495, 1012, 2130, 2065, 2035, 2017, 5454, 2000, 2079, 2003, 16617, 1037, 3937, 2653, 2607, 2030, 1037, 2460, 1011, 2744, 1999, 1011, 2406, 22676, 11073, 1010, 1045, 2064, 11302, 2017, 2008, 2115, 3325, 2097, 2025, 2069, 8915, 27718, 2017, 2000, 2272, 2067, 2005, 3823, 2021, 2036, 1041, 15549, 2361, 2017, 2007, 3937, 4813, 2000, 2468, 1037, 3145, 2447, 1999, 20300, 2660, 1521, 1055, 2925, 8147, 2007, 2256, 2555, 1012, 2077, 2017, 2113, 2009, 1010, 2115, 2814, 2097, 2022, 4214, 2017, 1523, 6239, 1011, 4689, 1524, 2205 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2001, 1996, 2614, 1997, 21783, 1012, 1998, 1037, 2738, 5976, 1010, 6151, 23773, 7810, 26759, 1012, 2852, 22684, 2628, 1996, 9832, 4165, 2091, 1996, 2034, 2723, 7120, 2000, 1996, 11559, 11879, 1012, 2002, 5864, 1999, 1996, 7086, 1998, 3184, 2010, 2132, 2012, 1996, 3496, 2077, 2032, 1012, 5572, 4201, 2041, 1999, 1996, 10418, 2859, 2006, 1996, 18099, 2135, 7844, 5572, 2795, 1012, 2010, 2388, 1010, 4510, 13681, 1999, 1037, 8254, 3993, 11862, 11225, 11739, 1010, 2001, 8521, 4840, 2665, 16575, 2000, 2019, 8053, 4510, 13681, 2402, 2450, 1012, 2009, 2145, 7135, 2032, 1011, 2145, 7135, 3071, 1999, 1996, 10276, 2075, 2088, 1010, 2428, 1011, 2008, 1996, 2611, 2018, 3491, 2039, 1999, 1996, 16683, 1997, 15451, 14876, 2100, 6952, 1998, 3432, 1012, 1012, 1012, 4370, 1012, 1999, 5171, 24665, 2100, 15379, 7983, 4827, 1010, 2016, 1005, 1040, 5071, 2045, 2001, 2062, 2000, 2022, 2124, 1011, 2062, 2000, 3305, 2055, 1996, 15451, 14876, 7274, 1012, 2062, 2084, 1996, 6965, 2040, 1005, 1040, 9828, 2000, 3828, 2014, 2365, 1010, 2062, 2084, 1037, 2158, 2040, 1005, 1040, 2357, 5435, 1998, 2448, 2000, 4468, 3425, 1010, 2062, 2084, 1037, 2879, 2040, 11489, 2000, 1996, 2097, 1997, 2010, 2388, 2007, 5165, 1010, 2062, 2084, 1996, 2155, 2040, 1005, 1040, 17735, 2037, 4511, 2096, 2016, 2001, 12364, 1999, 2037, 5059, 2282, 1012, 2016, 1005, 1040, 5071, 2016, 1005, 1040, 2424, 2070, 4066, 1997, 8503, 1010, 2002, 4011, 1012, 2129, 3308, 1996, 5236, 2611, 2018, 2042, 1012, 2021, 2009, 2134, 1005, 1056, 2689, 1996, 2755, 2016, 1005, 1040, 13977, 2070, 18987, 1999, 6583, 11890, 21205, 1012, 17999, 2070, 2342, 2000, 2729, 2005, 2030, 2000, 2388, 1996, 2450, 1011, 2775, 1012, 2025, 2008, 2054, 9099, 21649, 2090, 1996, 12566, 1999, 1996, 9394, 1997, 6583, 11890, 21205, 1005, 1055, 2793, 7507, 21784, 2071, 2022, 2641, 2388, 2135, 1012, 2021, 3109, 1010, 2130, 2852, 22684, 2071, 6684, 3459, 2216, 3022, 7347, 8496, 1012, 1000, 2085, 1010, 2017, 1005, 2310, 2081, 1037, 6752, 999, 1000, 6583, 11890, 21205, 4748, 8202, 13295, 2014, 6350, 2194, 1012, 1000, 2182, 1010, 2202, 2023, 14262, 13469, 4674, 1012, 1000, 2014, 4328, 5643, 2081, 2000, 17565, 2153, 1010, 2021, 2612, 19055, 1012, 1000, 2092, 1010, 2065, 2017, 1005, 2310, 12444, 2006, 1037, 6534, 2009, 1005, 1055, 2115, 2219, 6346, 1010, 10021, 2518, 999, 1000, 2021, 2045, 2001, 1037, 2868, 2006, 1996, 15451, 14876, 2100, 13523, 4948, 1005, 1055, 2227, 1012, 1000, 2204, 2851, 1010, 2388, 1012, 1000, 2016, 2357, 2000, 2032, 2007, 9467, 3238, 6569, 1012, 1000, 2852, 22684, 999, 1000, 1998, 2002, 14218, 2014, 2007, 5020, 9467, 24913, 1010, 10137, 2014, 6953, 13681, 2067, 2471, 22105, 2135, 1998, 4582, 2058, 2014, 3244, 2012, 18203, 2099, 1012, 1000, 2204, 2851, 1010, 8494, 26682, 1010, 1000, 2002, 7152, 1012, 6583, 11890, 21205, 22320, 8126, 1010, 2218, 2032, 2012, 2849, 1005, 1055, 3091, 1012, 1000, 2644, 2009, 1010, 1000, 2016, 4748, 8202, 13295, 5251, 1012, 2014, 4328, 5643, 14690, 1037, 14722, 6534, 2012, 2032, 1010, 4191, 2007, 11664, 6819, 18886, 4747, 1012, 2852, 22684, 8881, 1010, 2010, 2849, 11599, 2046, 1037, 5081, 2004, 2002, 3706, 2627, 2010, 2388, 1012, 1000, 2017, 8239, 1011, 1000, 6583, 11890, 21205, 2001, 4248, 1010, 9051, 1011, 2608, 12659, 1012, 1000, 1045, 2056, 2644, 2009, 1012, 1000, 1996, 2376, 11535, 2094, 2053, 6685, 1010, 4496, 2106, 1996, 3813, 1010, 12320, 2192, 4508, 9190, 2075, 2114, 2010, 2524, 7579, 1012, 2014, 2060, 2192, 16137, 9072, 2701, 18203, 2099, 1005, 1055, 2677, 1010, 2849, 4089, 13912, 1996, 2235, 2795, 1012, 2159, 2630, 15347, 2015, 1010, 2016, 2165, 1999, 1996, 2048, 19634, 1012, 1000, 12134, 1010, 1000, 2016, 2056, 28022, 2135, 1012, 1000, 2119, 1997, 2017, 1012, 1000, 2852, 22684, 1005, 1055, 15325, 14937, 1012, 2010, 5423, 8188, 21662, 1012, 2021, 2043, 6583, 11890, 21205, 1005, 1055, 2192, 4934, 2896, 1010, 13740, 2010, 10338, 2083, 2010, 15292, 1010, 2002, 12501, 1012, 1000, 9641, 2033, 1012, 1012, 1012, 18203, 2099, 1012, 1000, 2002, 8881, 1012, 2016, 2001, 1037, 2817, 1011, 1996, 14757, 9354, 1011, 2141, 6965, 1025, 2606, 14170, 1998, 18054, 23358, 2135, 2058, 4857, 4065, 1010, 2159, 2852, 29046, 7144, 2007, 11516, 1010, 2970, 13408, 2011, 8537, 2002, 1005, 1040, 2053, 4797, 2074, 4771, 1012, 3383, 2016, 2354, 2016, 2001, 1037, 5440, 1010, 2021, 2016, 2018, 2053, 2801, 2016, 2001, 1037, 4458, 11281, 1012, 1998, 2002, 4011, 2002, 2071, 2022, 7216, 2098, 2011, 2008, 2755, 1012, 1000, 3374, 1012, 1012, 1012, 2852, 22684, 1012, 1000, 2014, 2376, 2001, 28259, 1010, 5410, 2004, 8915, 23267, 5572, 1012, 1037, 26027, 1997, 14722, 10869, 11895, 15810, 2098, 2006, 2014, 5413, 1012, 2028, 2197, 6909, 2013, 2010, 2388, 1005, 1055, 2192, 1998, 2002, 3706, 2067, 1012, 1000, 2172, 2488, 1010, 1000, 6583, 11890, 21205, 8726, 1012, 5112, 11272, 1010, 2016, 11114, 2012, 2014, 2365, 1012, 1000, 2106, 2017, 2272, 2000, 3693, 2149, 2005, 6350, 1010, 9548, 1029, 1000, 1000, 6684, 1012, 1000, 2002, 9939, 2014, 5413, 10745, 1012, 1000, 1045, 1005, 1049, 2125, 2000, 1996, 3757, 2007, 2269, 1012, 1000, 2014, 3492, 2970, 13433, 12926, 1012, 2002, 2359, 2000, 15385, 2068, 1012, 1000, 2821, 1012, 2097, 2017, 2022, 6595, 2007, 2032, 1029, 2030, 2746, 2067, 2188, 1029, 1000, 1000, 2052, 2009, 1012, 1012, 1012, 3531, 2017, 1012, 1012, 1012, 2065, 1045, 2513, 1010, 2388, 1029, 1000, 2010, 2227, 25330, 3553, 2000, 5106, 1012, 1000, 3243, 1012, 1000, 2016, 2958, 2094, 1996, 2197, 3292, 1998, 4782, 2032, 1012, 2002, 12595, 4872, 2045, 1998, 2354, 2016, 2052, 2022, 4086, 1998, 21336, 4218, 2032, 2101, 1010, 5058, 1999, 15875, 8697, 2007, 2014, 9121, 9332, 2185, 1999, 2049, 2793, 2091, 1996, 2534, 1012, 2021, 1996, 9121, 2001, 2087, 5791, 2556, 2085, 1012, 1037, 14722, 6534, 12777, 9249, 2074, 3875, 2010, 2157, 3239, 1010, 15906, 2032, 1012, 2002, 3706, 19080, 2185, 2013, 2010, 2388, 2040, 11041, 1037, 2868, 2369, 2014, 3093, 1012, 1000, 2092, 1010, 1000, 2002, 2056, 3254, 1010, 14817, 2075, 1037, 23975, 2013, 2010, 19817, 15441, 2099, 4979, 1012, 1000, 1045, 7226, 1996, 2048, 1997, 2017, 1037, 8403, 2154, 1012, 1000, 2002, 8342, 1037, 11089, 1997, 13183, 9286, 1998, 10869, 2185, 2013, 2010, 3239, 1012, 1000, 1998, 1045, 4618, 2156, 2017, 2023, 3944, 1010, 2388, 1012, 1000, 1000, 1045, 2298, 2830, 2000, 2009, 1012, 1000, 2014, 2376, 2001, 17958, 2007, 8562, 1012, 2013, 1996, 7086, 1010, 2002, 3459, 1037, 6054, 2067, 2000, 18203, 2099, 1012, 1000, 1045, 1005, 1040, 2147, 2006, 4975, 2488, 14632, 2065, 2017, 1005, 2128, 2000, 3613, 2006, 2108, 2019, 9778, 1999, 2023, 2160, 1010, 8494, 26682, 1012, 2057, 4521, 1996, 12726, 1010, 2017, 2113, 1012, 1000, 1998, 2002, 2001, 2908, 1012, 6583, 11890, 21205, 5489, 1010, 15708, 6675, 1996, 14262, 13469, 4674, 1999, 2014, 5001, 1012, 1000, 2017, 2428, 2442, 16582, 1010, 2026, 3769, 22327, 1010, 1000, 2016, 7152, 1012, 1000, 2023, 2003, 2852, 22684, 1005, 1055, 2188, 1012, 2009, 1005, 1055, 6684, 26438, 2000, 13183, 1998, 8364, 2012, 2032, 1012, 1000, 1000, 25391, 2213, 1012, 2748, 1010, 5003, 1005, 2572, 1012, 1000, 6583, 11890, 21205, 7987, 24242, 2094, 2012, 1996, 13673, 1012, 2009, 2001, 2014, 2219, 6346, 1012, 2016, 1005, 1040, 19582, 1996, 2611, 1010, 9868, 2014, 2000, 1037, 13971, 22889, 3126, 4892, 3698, 1997, 18753, 3012, 1012, 2016, 2584, 2408, 1996, 2795, 1998, 11699, 1037, 3730, 2192, 6592, 14547, 1012, 1000, 1037, 7198, 1010, 1045, 2228, 1012, 1000, 2014, 4328, 5643, 3368, 17858, 1010, 1998, 2849, 1999, 2849, 1010, 2027, 2081, 2037, 2126, 2091, 1996, 2116, 17506, 1998, 2039, 1996, 2116, 5108, 1997, 1996, 6952, 2000, 2092, 2805, 4113, 8477, 1011, 2014, 4328, 5643, 1005, 1055, 2219, 4408, 4734, 1012, 1996, 14090, 1997, 2014, 16299, 4372, 7621, 10187, 2037, 1055, 13542, 2545, 1998, 19906, 1998, 24675, 1012, 1996, 4954, 4165, 1997, 5975, 5001, 4691, 6655, 9148, 18413, 3048, 4230, 1998, 2970, 3116, 1998, 20254, 1012, 1996, 9033, 20838, 1997, 4317, 1010, 11084, 2098, 17255, 14255, 2989, 1998, 20095, 1012, 1996, 4165, 1997, 11516, 2108, 12853, 1012, 1000, 2054, 1037, 2204, 2611, 1010, 1000, 6583, 11890, 21205, 3990, 1012, 4954, 15655, 14484, 13439, 2058, 1996, 14366, 1005, 1055, 3341, 1010, 12766, 1996, 13554, 6675, 2723, 1012, 1037, 2146, 1010, 24519, 4190, 8188, 2058, 2004, 2092, 1010, 10393, 11599, 1999, 5165, 1012, 20199, 3736, 12804, 2090, 1996, 9222, 1010, 3666, 1996, 2227, 16170, 2096, 2014, 3093, 2499, 1996, 2145, 15875, 2980, 1998, 26012, 12731, 3372, 1012, 1996, 2611, 2052, 2272, 1012, 2016, 2481, 1005, 1056, 9507, 1012, 4359, 2023, 2126, 2000, 1996, 2087, 2918, 1997, 2529, 1011, 4111, 10960, 1012, 1998, 2016, 2001, 2428, 2053, 2488, 2084, 2008, 1010, 4312, 1010, 6583, 11890, 21205, 22335, 1012, 2141, 1997, 8276, 7329, 1010, 2023, 2001, 1996, 8494, 26682, 1005, 1055, 3800, 1012, 2391, 1997, 2755, 1010, 2014, 4328, 5643, 27489, 2000, 1996, 3813, 24996, 1010, 1037, 6778, 1997, 6355, 13892, 1998, 20199, 3736, 1005, 1055, 2227, 6791, 2049, 5156, 8510, 3377, 1012, 1000, 8403, 1010, 1000, 2016, 2522, 29099, 1012, 1000, 8403, 1012, 2085, 1012, 2292, 1005, 1055, 2131, 2017, 9550, 1998, 2046, 2793, 1010, 20287, 1029, 1000, 1000, 17012, 2213, 1012, 2748, 1010, 5003, 1005, 2572, 1012, 1000, 1996, 2611, 2001, 2145, 9105, 2014, 3052, 2004, 6583, 11890, 21205, 10257, 2098, 2014, 1012, 1000, 2107, 1037, 3376, 2303, 1012, 1000, 1998, 2009, 2001, 1010, 5621, 1012, 5122, 1998, 3492, 1012, 5507, 5369, 1998, 11940, 2100, 1012, 1037, 13842, 9467, 2006, 2107, 18294, 2668, 1012, 2021, 2008, 2134, 1005, 1056, 2644, 6669, 23624, 19405, 5760, 26682, 3093, 2013, 8239, 2009, 1010, 2013, 5340, 2075, 3813, 2402, 12682, 1010, 1056, 8545, 15495, 5061, 28124, 18681, 19026, 2970, 26184, 1012, 1998, 1996, 18993, 26893, 2354, 2049, 2640, 1012, 2009, 18856, 3286, 22408, 2000, 3531, 1999, 2709, 1012, 2978, 5560, 2049, 7089, 1005, 1055, 4065, 1010, 11891, 3709, 12548, 12682, 2066, 1037, 8329, 8934, 1012, 2006, 1996, 27729, 2793, 1010, 2009, 8188, 2090, 6583, 11890, 21205, 1005, 1055, 9222, 2066, 1037, 2117, 2188, 1998, 9831, 2098, 2045, 2066, 1037, 2117, 7954, 1012, 2009, 2001, 3733, 2000, 10824, 2841, 2000, 2107, 2215, 2239, 5165, 1012, 2007, 2053, 25416, 3170, 3672, 2030, 5450, 2000, 5009, 2068, 1010, 20199, 3736, 2598, 2114, 1996, 2611, 1005, 1055, 2227, 1010, 26747, 2007, 1996, 22755, 2014, 27825, 2081, 1012, 2016, 14170, 2014, 3093, 17727, 15094, 17296, 1999, 1996, 28343, 14484, 1010, 7468, 1996, 9576, 2677, 3553, 2000, 2014, 12731, 3372, 1998, 2435, 17214, 2075, 7899, 1012, 1000, 2045, 1010, 2085, 1012, 2748, 999, 2821, 1010, 2074, 11891, 6211, 1010, 2026, 4086, 2210, 6841, 999, 6289, 999, 1000, 1998, 11516, 4895, 5403, 18141, 2061, 4089, 4332, 2000, 5223, 1012, 2016, 10621, 2205, 21052, 1996, 2611, 1005, 1055, 2606, 1010, 2657, 1998, 2371, 1996, 10973, 1997, 2009, 8840, 18606, 1999, 2014, 3093, 1012, 2016, 6684, 8725, 1998, 2145, 1996, 6492, 2358, 17597, 2000, 3531, 2014, 1012, 1000, 6616, 2033, 2007, 2115, 3093, 1010, 2014, 4328, 5643, 1012, 2085, 999, 1000, 2296, 2344, 2001, 2628, 2007, 2471, 17727, 11124, 13901, 11718, 1010, 2437, 6583, 11890, 21205, 16032, 2053, 2488, 2084, 1996, 6492, 2016, 1005, 1040, 2580, 1012, 2021, 2023, 2001, 17111, 9541, 2172, 2488, 1010, 2016, 1005, 1040, 2787, 1012, 2061, 2172, 2062, 4895, 7959, 14795, 1998, 14727, 2084, 1996, 11798, 1011, 2066, 2491, 1997, 1996, 17727, 11124, 2271, 8364, 1012, 2021, 2053, 2625, 2491, 1010, 2053, 2625, 1996, 26855, 3512, 2552, 1997, 19273, 1012, 2016, 13937, 1998, 8655, 2014, 10393, 2046, 1996, 2611, 1005, 1055, 10335, 1010, 20696, 2075, 5931, 6503, 1012, 1000, 2644, 1012, 2644, 999, 1000, 26450, 2098, 1996, 2611, 9249, 2007, 1037, 2192, 1011, 12073, 2000, 1996, 3379, 1012, 1000, 27593, 999, 1000, 2009, 2001, 2625, 2019, 4654, 20464, 8067, 3508, 1998, 2062, 1037, 11286, 1011, 1996, 6300, 14277, 1997, 1037, 22295, 4111, 1012, 2014, 4328, 5643, 8245, 2185, 1010, 11190, 2098, 2379, 1996, 2918, 1997, 1996, 2793, 1012, 1000, 2821, 1010, 20261, 20261, 999, 1000, 6583, 11890, 21205, 2522, 29099, 2855, 1998, 13501, 2646, 2009, 1012, 1000, 2272, 2085, 1012, 2272, 2182, 1010, 3532, 2518, 1012, 1000, 2016, 5935, 1996, 2611, 2000, 2014, 1010, 25296, 1998, 20227, 2075, 2046, 2145, 11052, 2606, 1012, 1000, 1045, 1005, 1049, 3374, 1012, 1045, 1005, 1049, 3374, 1010, 2210, 10442, 1012, 2017, 3432, 2442, 4553, 2043, 2000, 2644, 999, 2059, 1045, 2180, 1005, 1056, 2031, 2000, 3480, 2017, 1012, 2748, 1029, 1000, 1000, 3461, 1011, 20287, 1012, 1000, 2014, 4328, 5643, 1055, 11231, 28579, 1998, 22715, 15096, 2046, 6583, 11890, 21205, 1005, 1055, 9979, 1012, 2525, 1996, 2611, 2001, 9069, 1012, 2009, 3047, 2855, 1010, 2975, 2014, 5777, 2172 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2852, 1012, 2990, 17710, 14550, 28545, 1010, 1996, 8740, 2850, 18436, 4174, 4130, 8662, 9188, 1000, 2852, 1012, 2331, 1000, 2005, 2010, 2535, 1999, 13951, 1996, 5920, 2015, 1997, 2062, 2084, 2531, 5536, 2135, 5665, 2111, 1010, 2351, 2220, 5958, 2012, 1037, 5626, 1011, 2181, 2902, 2044, 1037, 4766, 7355, 1012, 17710, 14550, 28545, 1010, 6640, 1010, 2351, 2055, 1016, 1024, 2382, 1037, 1012, 1049, 1012, 2012, 2520, 16210, 2902, 1999, 4174, 1010, 2485, 2767, 1998, 4069, 4905, 14687, 5253, 21709, 2232, 2056, 1012, 5253, 21709, 2232, 2056, 2009, 3544, 17710, 14550, 28545, 1517, 2040, 2018, 2042, 24735, 2144, 2197, 3204, 2007, 18583, 1998, 14234, 3471, 1517, 4265, 1037, 21908, 16215, 21716, 15853, 2483, 2043, 1037, 2668, 18856, 4140, 2013, 2010, 4190, 3631, 2489, 1998, 20451, 1999, 2010, 2540, 1010, 2429, 2000, 1996, 5626, 2489, 2811, 1012, 1000, 2009, 2001, 9379, 1012, 2002, 2134, 1005, 1056, 2514, 1037, 2518, 1010, 1000, 5253, 21709, 2232, 2409, 1996, 3780, 1012, 2429, 2000, 1996, 3378, 2811, 1010, 2002, 2056, 11500, 2209, 4556, 2189, 2011, 17710, 14550, 28545, 1005, 1055, 5440, 4543, 1010, 8968, 6417, 10384, 1010, 2077, 2002, 2351, 1012, 5253, 21709, 2232, 2758, 17710, 14550, 28545, 2001, 9715, 9432, 2305, 1998, 1996, 2048, 3764, 2055, 2975, 1996, 2902, 1998, 2893, 3201, 2005, 11252, 1012, 5253, 21709, 2232, 2409, 1996, 2489, 2811, 2008, 1996, 2902, 3095, 1010, 7435, 1998, 11500, 2056, 17710, 14550, 28545, 1005, 1055, 4458, 2001, 1000, 1037, 14388, 3279, 1998, 1045, 5993, 2007, 2068, 1012, 2002, 2106, 2061, 2172, 1012, 1000, 2053, 3488, 2005, 3986, 5253, 21709, 2232, 2409, 1996, 3259, 2008, 2002, 13579, 3087, 2097, 7868, 17710, 14550, 28545, 1005, 1055, 2535, 1999, 7197, 5920, 1024, 1000, 2040, 2842, 2052, 2202, 2216, 2785, 1997, 10831, 1029, 1000, 5253, 21709, 2232, 2056, 2045, 2024, 2053, 3488, 2005, 2151, 3986, 1012, 17710, 14550, 28545, 2001, 10650, 1999, 2238, 2289, 2044, 3529, 2809, 2086, 1997, 1037, 2184, 1011, 2000, 2423, 1011, 2095, 6251, 2005, 2117, 1011, 3014, 4028, 1012, 2010, 9559, 2018, 2056, 2002, 4265, 2013, 28389, 1039, 1010, 14671, 1998, 2060, 3471, 1010, 1998, 2002, 2018, 5763, 1999, 21358, 8873, 29045, 12762, 2008, 2002, 2052, 2025, 6509, 1999, 1037, 5920, 2065, 2002, 2001, 2207, 1012, 1999, 2263, 1010, 2002, 2743, 2005, 3519, 2004, 2019, 2981, 1010, 4909, 2074, 1016, 1012, 1021, 3867, 1997, 1996, 3789, 1999, 1996, 9282, 5626, 2212, 1012, 2002, 2056, 2010, 3325, 3662, 1996, 2283, 2291, 2001, 1000, 13593, 1000, 1998, 1000, 2038, 2000, 2022, 3294, 18181, 2098, 2013, 1996, 3953, 2039, 1012, 1000, 14397, 5740, 5868, 17710, 14550, 28545, 2010, 2166, 2466, 2150, 1996, 3395, 1997, 1996, 2230, 14633, 3185, 1010, 1000, 2017, 2123, 1005, 1056, 2113, 2990, 1010, 1000, 2029, 3687, 3364, 2632, 14397, 5740, 10096, 1998, 3585, 7595, 2982, 2005, 2010, 13954, 1997, 17710, 14550, 28545, 1012, 14397, 5740, 3825, 7050, 2000, 17710, 14550, 28545, 2076, 2010, 10096, 9920, 4613, 1998, 3858, 1996, 2088, 1011, 3297, 2280, 3460, 1010, 2040, 2938, 5629, 1999, 1996, 4378, 1012, 14397, 5740, 2056, 2076, 1996, 4613, 2008, 2009, 2001, 1037, 5165, 2000, 1000, 3046, 2000, 17279, 2619, 2004, 8235, 1998, 5875, 1998, 4310, 1000, 2004, 17710, 14550, 28545, 1998, 1037, 1000, 5165, 2000, 2113, 2032, 1012, 1000, 12796, 1024, 2695, 1011, 17710, 14550, 28545, 1010, 2029, 4130, 2005, 7197, 5920, 1029, 17710, 14550, 28545, 2370, 2056, 2002, 4669, 1996, 3185, 1998, 5632, 1996, 3086, 2009, 7013, 1010, 2021, 2409, 1996, 3378, 2811, 2008, 2002, 12979, 2009, 2052, 18708, 2172, 2895, 2011, 1037, 2047, 4245, 1997, 7197, 1011, 5920, 13010, 1012, 1000, 2017, 1005, 2222, 2963, 2111, 2360, 1010, 1005, 2092, 1010, 2009, 1005, 1055, 1999, 1996, 2739, 2153, 1010, 2009, 1005, 1055, 2051, 2005, 10537, 2023, 2582, 1012, 1005, 2053, 2009, 3475, 1005, 1056, 1012, 2009, 1005, 1055, 2042, 6936, 2000, 2331, 1010, 1000, 2002, 2056, 1012, 1000, 2045, 1005, 1055, 2498, 2047, 2000, 2360, 2055, 2009, 1012, 2009, 1005, 1055, 1037, 11476, 12962, 2966, 3218, 2004, 2009, 2001, 1999, 3418, 4199, 1998, 5483, 1012, 1000, 5408, 2086, 3041, 1010, 2002, 2001, 7331, 1999, 1996, 2687, 2331, 1997, 1037, 10223, 16216, 26378, 2290, 1005, 1055, 4295, 5776, 1517, 1037, 2678, 2696, 5669, 2331, 3491, 2000, 1037, 2120, 2547, 4378, 2004, 17710, 14550, 28545, 8315, 19608, 2000, 3715, 2032, 1012, 1000, 1996, 3277, 1005, 1055, 2288, 2000, 2022, 2992, 2000, 1996, 2504, 2073, 2009, 2003, 2633, 2787, 1010, 1000, 2002, 2056, 2006, 1996, 3743, 2011, 6568, 1005, 1000, 3438, 2781, 1012, 1000, 9919, 1000, 2852, 1012, 2331, 1010, 1000, 17710, 14550, 28545, 4937, 9331, 11314, 2098, 2046, 2270, 8298, 1999, 2901, 2043, 2002, 2109, 2010, 25628, 1000, 5920, 3698, 1000, 1999, 2010, 18399, 2098, 18817, 3158, 2000, 1999, 20614, 12765, 5850, 2046, 2019, 21901, 1005, 1055, 5776, 2040, 4912, 2010, 2393, 1999, 5996, 1012, 2005, 3053, 1037, 5476, 1010, 2002, 6376, 4614, 1005, 4073, 2000, 2644, 2032, 1012, 2010, 2034, 2176, 7012, 1010, 2035, 2006, 7197, 5920, 5571, 1010, 4504, 1999, 2093, 9353, 15549, 28200, 2015, 1998, 2028, 11094, 14482, 1012, 4028, 5571, 1999, 3041, 3572, 2020, 6908, 2041, 2138, 4174, 2012, 1996, 2051, 2018, 2053, 2375, 2114, 7197, 5920, 1025, 1996, 6372, 2626, 2028, 1999, 3433, 2000, 17710, 14550, 28545, 1012, 2002, 2036, 2001, 10040, 1997, 2010, 2966, 6105, 1012, 2111, 2040, 2351, 2007, 2010, 2393, 4265, 2013, 4456, 1010, 10223, 16216, 26378, 2290, 1005, 1055, 4295, 1010, 3674, 8040, 3917, 12650, 1010, 26287, 1012, 2027, 2351, 1999, 2037, 5014, 1010, 2019, 2436, 1010, 1037, 5626, 2479, 2380, 1010, 1037, 6556, 6644, 1010, 1996, 2067, 1997, 17710, 14550, 28545, 1005, 1055, 3158, 1012, 17710, 14550, 28545, 28834, 2370, 2000, 3235, 9678, 2332, 1998, 12338, 1998, 2170, 19608, 13157, 1010, 2010, 4401, 3412, 5470, 17592, 1012, 2002, 5296, 2110, 4449, 2114, 2032, 1010, 3662, 2039, 2012, 2457, 1999, 9427, 1010, 2170, 7435, 2040, 2134, 1005, 1056, 2490, 2032, 1000, 1044, 22571, 10085, 14778, 2594, 1051, 10354, 2015, 1000, 1998, 8315, 4614, 2000, 2644, 2032, 2030, 2191, 2010, 4506, 3423, 1012, 1000, 8307, 2038, 2000, 2079, 2242, 2005, 6114, 8438, 1010, 1000, 17710, 14550, 28545, 2320, 2056, 1012, 1000, 1045, 2404, 2870, 1999, 2026, 5022, 1005, 2173, 1012, 2023, 2003, 2242, 1045, 2052, 2215, 1012, 1000, 22707, 3561, 20747, 2015, 4147, 1000, 1045, 2067, 2990, 1000, 11287, 1012, 2021, 4401, 8781, 2010, 11845, 1011, 9775, 4725, 1010, 11553, 2011, 2010, 13109, 3286, 11097, 4630, 4905, 11023, 10882, 26320, 2127, 1996, 2048, 10277, 3971, 2077, 2010, 2639, 3979, 1012, 1000, 1045, 2228, 17710, 14550, 28545, 2209, 2019, 8216, 2535, 1999, 5026, 1996, 7522, 1011, 7197, 5920, 5981, 2000, 1996, 22870, 1010, 1000, 6294, 4702, 1010, 1037, 2934, 1997, 2375, 1998, 4200, 2012, 2118, 1997, 5135, 2375, 2082, 1010, 2056, 1999, 2456, 1012, 1000, 2009, 2823, 3138, 1037, 2200, 25506, 3265, 2000, 2404, 2019, 3277, 2006, 1996, 2270, 11376, 1010, 1000, 2016, 2056, 1010, 1998, 1996, 5981, 2002, 25540, 10497, 6850, 1000, 1999, 1037, 2126, 5985, 2270, 2686, 2005, 2062, 9608, 5755, 2000, 2272, 1999, 1012, 1000, 2130, 2061, 1010, 2261, 2163, 2031, 4844, 7522, 1011, 7197, 5920, 1012, 4277, 2253, 2046, 3466, 1999, 5392, 1999, 2722, 1998, 2899, 2110, 1999, 2268, 1010, 1998, 1037, 2268, 8124, 4259, 2457, 6996, 6464, 3423, 3550, 1996, 3218, 1999, 2008, 2110, 1012, 17710, 14550, 28545, 16783, 9038, 1999, 1037, 4678, 13762, 4357, 2013, 3827, 1999, 2384, 1010, 17710, 14550, 28545, 2409, 5796, 28957, 2002, 18991, 1000, 1037, 2210, 1000, 1996, 4506, 2008, 2404, 2032, 2045, 1012, 1000, 2009, 2001, 15640, 2138, 2054, 1045, 2106, 2357, 2041, 2000, 2022, 1999, 15784, 1012, 1012, 1012, 1012, 1998, 2026, 2069, 9038, 2001, 2025, 2383, 2589, 2009, 2083, 1996, 3423, 2291, 1010, 2083, 6094, 1010, 4298, 1010, 1000, 2002, 2056, 1012, 17710, 14550, 28545, 1005, 1055, 7209, 3125, 2001, 2000, 5323, 1000, 27885, 15660, 5007, 2015, 1000, 2073, 2111, 2052, 2175, 2000, 3280, 1012, 7435, 2045, 2071, 11203, 11595, 1998, 4685, 2966, 7885, 2076, 1996, 5920, 2832, 1012, 2107, 7885, 2052, 2022, 1000, 4498, 12962, 6714, 27475, 1000, 1997, 5920, 1010, 2002, 2626, 1999, 2010, 2889, 2338, 1000, 20422, 1024, 22605, 3207, 1517, 1996, 15003, 1997, 3740, 2331, 1012, 1000, 2678, 1024, 17710, 14550, 28545, 8847, 2041, 2013, 3827, 1006, 2006, 2023, 3931, 1007, 2010, 2346, 2000, 3827, 2211, 1999, 2244, 2687, 1010, 2043, 2002, 2678, 2696, 5669, 2370, 1999, 20614, 2075, 2726, 2017, 2243, 1010, 1037, 4720, 1011, 2095, 1011, 2214, 10223, 16216, 26378, 2290, 1005, 1055, 4295, 5776, 1010, 2007, 12765, 5850, 1012, 2002, 2435, 1996, 6823, 2000, 1000, 3438, 2781, 1012, 1000, 2048, 2706, 2101, 1010, 1037, 2120, 2547, 4378, 3427, 2017, 2243, 3280, 1998, 2657, 17710, 14550, 28545, 2360, 1997, 4614, 1024, 1000, 1045, 1005, 2310, 2288, 2000, 2486, 2068, 2000, 2552, 1012, 1000, 19608, 2855, 5838, 2007, 1037, 2034, 1011, 3014, 4028, 3715, 1012, 2678, 1024, 22146, 2030, 4735, 1029, 17710, 14550, 28545, 5981, 4247, 1006, 2006, 2023, 3931, 1007, 17710, 14550, 28545, 6051, 2004, 2010, 2219, 4905, 2005, 2087, 1997, 1996, 3979, 1012, 2002, 2409, 1996, 2457, 2010, 4506, 2020, 1000, 1037, 2966, 2326, 2005, 2019, 3283, 3490, 5422, 2529, 2108, 1012, 1000, 1999, 2010, 5494, 6685, 1010, 17710, 14550, 28545, 2409, 18414, 29165, 2015, 2008, 2070, 4490, 1000, 2011, 11591, 2691, 3168, 2024, 2025, 6997, 1012, 1000, 1000, 2074, 2298, 2012, 2033, 1010, 1000, 2002, 2056, 1012, 1000, 9826, 2085, 1010, 2079, 2017, 2156, 1037, 4735, 1029, 2079, 2017, 2156, 1037, 13422, 1029, 1000, 2404, 7327, 21604, 15396, 2006, 2088, 2754, 1996, 1057, 1012, 1055, 1012, 4259, 2457, 3807, 2357, 2067, 9023, 2013, 17710, 14550, 28545, 1010, 1999, 2526, 1010, 2043, 2002, 5275, 2008, 2010, 11537, 2001, 20454, 1010, 1998, 1999, 2432, 1010, 2043, 2002, 3555, 2002, 2018, 20694, 6630, 1012, 1999, 2019, 4357, 2012, 1996, 2051, 17710, 14550, 28545, 2001, 2207, 2013, 3827, 1010, 2017, 2243, 1005, 1055, 2567, 25170, 5897, 2056, 2010, 2567, 2363, 1000, 1037, 2966, 2326, 2008, 2001, 7303, 1998, 1010, 2013, 2026, 2391, 1997, 3193, 1010, 29353, 2135, 3024, 2011, 2990, 1012, 2009, 2323, 2025, 2022, 1037, 4126, 1012, 1000, 2021, 11958, 2035, 7869, 23697, 2150, 1037, 9205, 6232, 2044, 2014, 4090, 1011, 2095, 1011, 2214, 2905, 1010, 8129, 26822, 21807, 9080, 2140, 1010, 2357, 2000, 17710, 14550, 28545, 1999, 2722, 1012, 2016, 2056, 1999, 2289, 2008, 26822, 21807, 9080, 2140, 1010, 2040, 4265, 2013, 3674, 8040, 3917, 12650, 1010, 2001, 8084, 2007, 6245, 1998, 3571, 2021, 2071, 2031, 2973, 2005, 2086, 2936, 1012, 1000, 1006, 17710, 14550, 28545, 1005, 1055, 1007, 7848, 1010, 1045, 2903, 1010, 2038, 2467, 2042, 2000, 5114, 23215, 1010, 1000, 2035, 7869, 23697, 2056, 1012, 2141, 1999, 4662, 1010, 1999, 1996, 5626, 7575, 1997, 24538, 1010, 17710, 14550, 28545, 3852, 2013, 1996, 2118, 1997, 4174, 1005, 1055, 2966, 2082, 1999, 3999, 1998, 2150, 1037, 4130, 8662, 1012, 17710, 14550, 28545, 2056, 2002, 2034, 2150, 4699, 1999, 7327, 21604, 15396, 2076, 2010, 22676, 2095, 2043, 2002, 3427, 1037, 2690, 1011, 4793, 2450, 3280, 1997, 4456, 1012, 2016, 2001, 2061, 7861, 6305, 15070, 1010, 2014, 7842, 12588, 1010, 12532, 20186, 2094, 3096, 1000, 3139, 2014, 5944, 2066, 1037, 10036, 1010, 15968, 10424, 7432, 1010, 1000, 17710, 14550, 28545, 2626, 1012, 26735, 3006, 12760, 2044, 2311, 1037, 5920, 5080, 1999, 2960, 2013, 3033, 2002, 2179, 1999, 26735, 6089, 1010, 2002, 4912, 2010, 2034, 7197, 1011, 5920, 4018, 2011, 6885, 14389, 1999, 2334, 6399, 1012, 3780, 1998, 2694, 7636, 2716, 2062, 3086, 1012, 2006, 2238, 1018, 1010, 2901, 1010, 2002, 5225, 2010, 3158, 2000, 1037, 27044, 2380, 2167, 1997, 5626, 1012, 2044, 9965, 4748, 14322, 1010, 5139, 1010, 1997, 6734, 1010, 10848, 1012, 1010, 2777, 2032, 2045, 1010, 2002, 12889, 1037, 12201, 2046, 2014, 2849, 1998, 1010, 2043, 2016, 2001, 3201, 1010, 2016, 9357, 1996, 6942, 2008, 2207, 1037, 12765, 4834, 1997, 5850, 1012, 2678, 1024, 17710, 14550, 28545, 8289, 2012, 6640, 2002, 2101, 7237, 2013, 2010, 5080, 2000, 2064, 12911, 2015, 1997, 6351, 18847, 19491, 1010, 2153, 22604, 5022, 2165, 1996, 2345, 3357, 2011, 9268, 1037, 18856, 16613, 2008, 2207, 1996, 4834, 1997, 9252, 3806, 2000, 1996, 2227, 7308, 1012, 17710, 14550, 28545, 1005, 1055, 4476, 1517, 2030, 23215, 1517, 2081, 2032, 1042, 7716, 4063, 2005, 2397, 1011, 2305, 25119, 1005, 18847, 24277, 2015, 1998, 13130, 2015, 1012, 2010, 2171, 2150, 3451, 2460, 11774, 2005, 13198, 2055, 24748, 5582, 1996, 2203, 1997, 2166, 1012, 2130, 19837, 2869, 2481, 1005, 1056, 9507, 1012, 4205, 15079, 2099, 1010, 1996, 10096, 1011, 3045, 3213, 2005, 1000, 2017, 2123, 1005, 1056, 2113, 2990, 1010, 1000, 2288, 2125 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4465, 1010, 2258, 2410, 1010, 2263, 4826, 1006, 6928, 1010, 2258, 2403, 1007, 2003, 2178, 2028, 1997, 2216, 19021, 2072, 1011, 6819, 8024, 1013, 4647, 4334, 3653, 1011, 3979, 4994, 2420, 1012, 2025, 2127, 1996, 4994, 2003, 2058, 1010, 2097, 2057, 2963, 2040, 23933, 1999, 20747, 5139, 1010, 2030, 3515, 1010, 2030, 11210, 1006, 26213, 2323, 2022, 1999, 1996, 2375, 5434, 9568, 1998, 3784, 2065, 2017, 11562, 2006, 3158, 2457, 1011, 3622, 1999, 2187, 5930, 1007, 1012, 1045, 3246, 5863, 23287, 2097, 2022, 2583, 2000, 5463, 1998, 3189, 1012, 3383, 5639, 1041, 1012, 1010, 2205, 1012, 3021, 5495, 16930, 2319, 2323, 2031, 2010, 9927, 2039, 2011, 1996, 2203, 1997, 1996, 2154, 1012, 12507, 1010, 2009, 1005, 1055, 4465, 2851, 1010, 1998, 2004, 2057, 3524, 1010, 1045, 1005, 1040, 2066, 2000, 2113, 2115, 5448, 1997, 1996, 12962, 4785, 4193, 2449, 1010, 2231, 1010, 1998, 1996, 2270, 3037, 1999, 2329, 3996, 1998, 8166, 1012, 2054, 2079, 2017, 2228, 1997, 9108, 2050, 1999, 6930, 2437, 4251, 3488, 2000, 2175, 2046, 2613, 3776, 1029, 2106, 2017, 2130, 2963, 2055, 2023, 1010, 2077, 2023, 2088, 1011, 8228, 2686, 4322, 2001, 2471, 2853, 1029, 2012, 1037, 3976, 1997, 1002, 1015, 1012, 19652, 4551, 1012, 2748, 1010, 4551, 1012, 2062, 2084, 1000, 2057, 1000, 2288, 2005, 2710, 1005, 1055, 3822, 2922, 2737, 1012, 2323, 1996, 2270, 2131, 1037, 2360, 1999, 1996, 13148, 1997, 2151, 7271, 1011, 6787, 6960, 1029, 2323, 2057, 2022, 2409, 2043, 1996, 2801, 2003, 2034, 2641, 1010, 2339, 2009, 1005, 1055, 2108, 2641, 1010, 2054, 6666, 1998, 2054, 6409, 2009, 2097, 3288, 1011, 1011, 2029, 1010, 1999, 1996, 2553, 1997, 9108, 2050, 1010, 2003, 2025, 3432, 2019, 3171, 3279, 2021, 2036, 1037, 2120, 4721, 1998, 3036, 3279, 1012, 2672, 2057, 2323, 1005, 2310, 2042, 2409, 2055, 1996, 5096, 1997, 4647, 15118, 1010, 2205, 1025, 2021, 2008, 1005, 1055, 2145, 3595, 1012, 2003, 2009, 7968, 1010, 2003, 2009, 6047, 2000, 2292, 2175, 1997, 1037, 2877, 2686, 2974, 2030, 2323, 2009, 2022, 2921, 1999, 2710, 2005, 3010, 5770, 1010, 1998, 3010, 3860, 1029, 2043, 2270, 5029, 2203, 2039, 1999, 5971, 10306, 1010, 2515, 2008, 2360, 2242, 2055, 1996, 12962, 4785, 2057, 2444, 1999, 1029, 2515, 2009, 2360, 2242, 2055, 1996, 12962, 4785, 2008, 4913, 19021, 2072, 1010, 6173, 6819, 8024, 1010, 1998, 2019, 15879, 19021, 2072, 2973, 1998, 2499, 1999, 1029, 1998, 2079, 2017, 2228, 2027, 2894, 2323, 2022, 2218, 3625, 2005, 2008, 1029, 1011, 4647, 2984, 1012, 2686, 2974, 1998, 1996, 2613, 3776, 5387, 1000, 1012, 1012, 1012, 9108, 2050, 2001, 4041, 2000, 2131, 2041, 1997, 1996, 2686, 4753, 1998, 3579, 2006, 2049, 3652, 2613, 3776, 2592, 2449, 1012, 2009, 2018, 5113, 2000, 2224, 1996, 5356, 2013, 1996, 5096, 2000, 23306, 2049, 7654, 5656, 1010, 3391, 1999, 1996, 1057, 1012, 1055, 1012, 2029, 2038, 2042, 2524, 2718, 2011, 1996, 4942, 1011, 3539, 14344, 2139, 3676, 14321, 1012, 1000, 3342, 2008, 3522, 4121, 4651, 1997, 4647, 3392, 3888, 11172, 2015, 2085, 2108, 3253, 2039, 2004, 2613, 3776, 1029, 1011, 4647, 2984, 1012, 9108, 2050, 28515, 2044, 2686, 1011, 2407, 5096, 5837, 6930, 3103, 1011, 5095, 1010, 2258, 2260, 1010, 2263, 10406, 1010, 20010, 2102, 29602, 2121, 1998, 9228, 2003, 8498, 1037, 2358, 19419, 4223, 1999, 1996, 5256, 1997, 8166, 1005, 1055, 13893, 2023, 2733, 1997, 1996, 3818, 5096, 1997, 2049, 2686, 2407, 2000, 1996, 1057, 1012, 1055, 1012, 2194, 2035, 2937, 2102, 6627, 29390, 1006, 2012, 2243, 1007, 1012, 2021, 2369, 1996, 5019, 1996, 19670, 2003, 6387, 1010, 1998, 3980, 2024, 14255, 2989, 2039, 2004, 9387, 28699, 9869, 2006, 2054, 1996, 2194, 2097, 2079, 2085, 2008, 2049, 3488, 2000, 11529, 3367, 2993, 1997, 1037, 2659, 1011, 3930, 2449, 2031, 2042, 2358, 24335, 6340, 1012, 1996, 2194, 2036, 5344, 3980, 2013, 3006, 25644, 2040, 2215, 2000, 2113, 2065, 1996, 2194, 2207, 1996, 2592, 1999, 1037, 23259, 4827, 1012, 2054, 2001, 3591, 2000, 15337, 2011, 5766, 3817, 18486, 2078, 1999, 2254, 2004, 1037, 23264, 2005, 1996, 2194, 2038, 2357, 2046, 1037, 2576, 10103, 1010, 2007, 1996, 6713, 4075, 13993, 11186, 2005, 7636, 2096, 1999, 8166, 2019, 9108, 2050, 8930, 2003, 19670, 20322, 2000, 2404, 2830, 20401, 1997, 1996, 3066, 1012, 1000, 1045, 2228, 2720, 1012, 18486, 2078, 2064, 2022, 11242, 3251, 2030, 2025, 2002, 2064, 2994, 2004, 5766, 1997, 1996, 2194, 1010, 1000, 2056, 2745, 9061, 2869, 1010, 2710, 2470, 3242, 1999, 3795, 4331, 1998, 2248, 2375, 2012, 1996, 2118, 1997, 1038, 1012, 1039, 1012, 1998, 2028, 1997, 1996, 5755, 2040, 4941, 1996, 5096, 1012, 1000, 2009, 9326, 2033, 2004, 1037, 18503, 2008, 2038, 10676, 2039, 1999, 2010, 2227, 1012, 1000, 2036, 1010, 2023, 2003, 1996, 2711, 2040, 2001, 4632, 12228, 9387, 2067, 1999, 2254, 2008, 6226, 2001, 3492, 2172, 8916, 1012, 1000, 2426, 4455, 2000, 1996, 2194, 1999, 1996, 5256, 1997, 1996, 2739, 9432, 2008, 3068, 2704, 3958, 23429, 2018, 2409, 2012, 2243, 1999, 1037, 3661, 2008, 1996, 1000, 5211, 2003, 2025, 3497, 2000, 2022, 1997, 5658, 5770, 2000, 2710, 1000, 2001, 2028, 2013, 3006, 7816, 2578, 1010, 2029, 15410, 1998, 21497, 2015, 1996, 4361, 4518, 3863, 1005, 1055, 7142, 19380, 3343, 2005, 1996, 24529, 2595, 1012, 1000, 2057, 2031, 2053, 2801, 3251, 2030, 2025, 1996, 2194, 2081, 1037, 23259, 19380, 1010, 1000, 2056, 3505, 3188, 1010, 2472, 1997, 3006, 9867, 1012, 1000, 2057, 2079, 2113, 2027, 2776, 2081, 2070, 19380, 2044, 2057, 6936, 2009, 2007, 2068, 1012, 1000, 3188, 2056, 3251, 2030, 2025, 1996, 19380, 2001, 23259, 9041, 2006, 2043, 9108, 2050, 4342, 1997, 23429, 1005, 1055, 3661, 1010, 2029, 2001, 6052, 2258, 1022, 1012, 9108, 2050, 2207, 1037, 4766, 4861, 2006, 2258, 2184, 2247, 2007, 1037, 6100, 1997, 1996, 3661, 1012, 3188, 2056, 1996, 3043, 2097, 2022, 3615, 2000, 1996, 24529, 2595, 1010, 1998, 2065, 2009, 2003, 4340, 2045, 2001, 1037, 3809, 12510, 2009, 2071, 2022, 3615, 2000, 1996, 7882, 12012, 25644, 1010, 2029, 2002, 2056, 1999, 9108, 2050, 1005, 1055, 2553, 2052, 2022, 1996, 4647, 12012, 3222, 1012, 2174, 1010, 2002, 4197, 2041, 2009, 2003, 2205, 2220, 2000, 5646, 2043, 9108, 2050, 2354, 2055, 1996, 4022, 3796, 2000, 1996, 5096, 1012, 1000, 2057, 2342, 1037, 2843, 2062, 2592, 1010, 1000, 2002, 2056, 1012, 2006, 5958, 1010, 23429, 2069, 4484, 2010, 3041, 4471, 2008, 1996, 3010, 2231, 2052, 23330, 1996, 1002, 1015, 1012, 19652, 1011, 4551, 3066, 1010, 1999, 4092, 2000, 2019, 4378, 2012, 1996, 3010, 2686, 4034, 4075, 1999, 2146, 5657, 19231, 1010, 10861, 1012, 1000, 2057, 2097, 2025, 5138, 1037, 3279, 1997, 7360, 2389, 2491, 2000, 2178, 2283, 2030, 2178, 2406, 1010, 1000, 2002, 2056, 1012, 2012, 2243, 2038, 2127, 2089, 1022, 2000, 7475, 2049, 2553, 2007, 8166, 1012, 2096, 9108, 2050, 2003, 4363, 12954, 1010, 2049, 4387, 1999, 8166, 1010, 2175, 4103, 29052, 1010, 2001, 10373, 2075, 2865, 1037, 6100, 1997, 2019, 4748, 2008, 2003, 2000, 3711, 6928, 1999, 8166, 1005, 1055, 2940, 2335, 1010, 2019, 4748, 2002, 2056, 2001, 2872, 1998, 3825, 2005, 2011, 7904, 2586, 10575, 1998, 3095, 8924, 1012, 23429, 1005, 1055, 3247, 2038, 2042, 26507, 2011, 1996, 3010, 8285, 3667, 2120, 2343, 12610, 5292, 10623, 17597, 1010, 2021, 29052, 2056, 2008, 3193, 2003, 2025, 4207, 2011, 9108, 2050, 5126, 2040, 2024, 2372, 1997, 1996, 2586, 1012, 1000, 1996, 2126, 2057, 3305, 2009, 1010, 6187, 2860, 9582, 4941, 1996, 3066, 1012, 2008, 1005, 1055, 4189, 2438, 1010, 2021, 1996, 10575, 2134, 1005, 1056, 1010, 1000, 2002, 2056, 1012, 5564, 1010, 1996, 3006, 2038, 12981, 2006, 9108, 2050, 1010, 2007, 18288, 2091, 16307, 2075, 1996, 4518, 2006, 5958, 1012, 7112, 5622, 2012, 7638, 2508, 2091, 24170, 2094, 1996, 2194, 2000, 1000, 3006, 4685, 1000, 2013, 1000, 2041, 4842, 14192, 1000, 1010, 2007, 1037, 2416, 1011, 2000, 2260, 1011, 3204, 3976, 4539, 1997, 1002, 3429, 1037, 3745, 1012, 2703, 8981, 1010, 2019, 12941, 2012, 9443, 11407, 1010, 2056, 23429, 1005, 1055, 2693, 8509, 9108, 2050, 1999, 1000, 1037, 2978, 1997, 2019, 1999, 17258, 6313, 2597, 1012, 1000, 1000, 2009, 2003, 3564, 2006, 1996, 2217, 12735, 1999, 2023, 3327, 2832, 1010, 1000, 2002, 2056, 1012, 1000, 1996, 5211, 2552, 2832, 2003, 2428, 2090, 1996, 9878, 2099, 1010, 2012, 2243, 1010, 1998, 1996, 3010, 2231, 1012, 1000, 9108, 2050, 2003, 3564, 2006, 2028, 2217, 1010, 4445, 2583, 2000, 3747, 2824, 4496, 1999, 1996, 3622, 4834, 1997, 4512, 1012, 1000, 8981, 2056, 1996, 3247, 2003, 2919, 2739, 2005, 9387, 1010, 1000, 2138, 1996, 2878, 2391, 1997, 2023, 2001, 2000, 5271, 1037, 2112, 1997, 1996, 2449, 2029, 1996, 2194, 7021, 2004, 7687, 2383, 4659, 2659, 3930, 16746, 1010, 2000, 5382, 1037, 2200, 2204, 3976, 1010, 1998, 2000, 3622, 2008, 2046, 1996, 2181, 1997, 2152, 3930, 1012, 1000, 8166, 1005, 1055, 13893, 3727, 9108, 2050, 3173, 1037, 2407, 2009, 4415, 2987, 1005, 1056, 2215, 1012, 1000, 2008, 5260, 2068, 2157, 2067, 2000, 2073, 2027, 2020, 2077, 1010, 2021, 2007, 7955, 1999, 1996, 2686, 2449, 4824, 2023, 2003, 1037, 2449, 2008, 3026, 2968, 1998, 15337, 2020, 3243, 5627, 2000, 2131, 9436, 1997, 1010, 1000, 2056, 8981, 1012, 9108, 2050, 2001, 4041, 2000, 2131, 2041, 1997, 1996, 2686, 4753, 1998, 3579, 2006, 2049, 3652, 2613, 3776, 2592, 2449, 1012, 2009, 2018, 5113, 2000, 2224, 1996, 5356, 2013, 1996, 5096, 2000, 23306, 2049, 7654, 5656, 1010, 3391, 1999, 1996, 1057, 1012, 1055, 1012, 2029, 2038, 2042, 2524, 2718, 2011, 1996, 4942, 1011, 3539, 14344, 2139, 3676, 14321, 1012, 2055, 1015, 1010, 7706, 1997, 1996, 2194, 1005, 1055, 1017, 1010, 2199, 5126, 2020, 2000, 2693, 2000, 2035, 2937, 2102, 1010, 1998, 1997, 1996, 6352, 2000, 5385, 5126, 1999, 1038, 1012, 1039, 1012, 1010, 2531, 2020, 2183, 2000, 2994, 2007, 9108, 2050, 2021, 1999, 2047, 10345, 2144, 2035, 2937, 2102, 2001, 2000, 2202, 2058, 9108, 2050, 1005, 1055, 2311, 1012, 3264, 1999, 4458, 1010, 1037, 2270, 8468, 2013, 3899, 3702, 6349, 7175, 3392, 3888, 4915, 2379, 3848, 1010, 2320, 2104, 1996, 9384, 2491, 1997, 1996, 3757, 1997, 4915, 1998, 6138, 1010, 1998, 2085, 2641, 2000, 2022, 2613, 3776, 2005, 5096, 4983, 1996, 2270, 8090, 2024, 2657, 1024, 4986, 4480, 2024, 4778, 2000, 3693, 1037, 2177, 2029, 3488, 2000, 3113, 2012, 4826, 6928, 2258, 2403, 2012, 2260, 1024, 4002, 11501, 2012, 1996, 2436, 1997, 16096, 24008, 1010, 2704, 1997, 2451, 2578, 1010, 1001, 20741, 1011, 20741, 2575, 6116, 3016, 3927, 1010, 2000, 2292, 1996, 2704, 2113, 2009, 2003, 8995, 2135, 2590, 2008, 2016, 3202, 14300, 1996, 13675, 2094, 1005, 1055, 6555, 2011, 14919, 2015, 1010, 4953, 1996, 2091, 11597, 2075, 1997, 11419, 4915, 2167, 1997, 17111, 3489, 1998, 4193, 5207, 2314, 1012, 3899, 3702, 6349, 2036, 5176, 2008, 4986, 4480, 4339, 1041, 1012, 5653, 2015, 1998, 1013, 2030, 4144, 2000, 1024, 1998, 10507, 1012, 3224, 2704, 4138, 11608, 2012, 2034, 18442, 1012, 2197, 18442, 1030, 2742, 1012, 8917, 1998, 5193, 2704, 4901, 11684, 2012, 10373, 1030, 2742, 1012, 4012, 1012, 5254, 1996, 2011, 14919, 3616, 1999, 2115, 3661, 1024, 4090, 2683, 2629, 1010, 8698, 2692, 1998, 4090, 2581, 2549, 1012, 3849, 2066, 1037, 2204, 2801, 1024, 2292, 1996, 2231, 16410, 2113, 2129, 2017, 2514, 2055, 2122, 3224, 4915, 2029, 2320, 3569, 5190, 1997, 3667, 1999, 1037, 8995, 1038, 1012, 1039, 1012, 3068, 1012, 1012, 1012, 1998, 2029, 2145, 2071, 3613, 2725, 2061, 1012, 1011, 4647, 2984, 1012, 1996, 9877, 1997, 2439, 6695, 2005, 2216, 1999, 2373, 2000, 2644, 1996, 5271, 1011, 2125, 1997, 3010, 14165, 1010, 2613, 13318, 5841, 1998, 12601, 2003, 1037, 1038, 7138, 2006, 2256, 2381, 1010, 1037, 8011, 2006, 2256, 4610, 1010, 1037, 7263, 2000, 2041, 2969, 1011, 7023, 1998, 1037, 5473, 2000, 1996, 2925, 1997, 2023, 3842, 1012, 2009, 1005, 1055, 2146, 2627, 2051, 1012, 2028, 2069, 8069, 2023, 2003, 1996, 2707, 1997, 1037, 2689, 1011, 2643, 4282, 2057, 2342, 2028, 1012, 5766, 3817, 18486, 2078, 1521, 1055, 17203, 3535, 2000, 4632, 6692, 3351, 1996, 4963, 2012, 2010, 2194, 1521, 1055, 28778, 7729, 2000, 1996, 5490, 13860, 4063, 2075, 1997, 2070, 1002, 4278, 8817, 2006, 1054, 1004, 1040, 1998, 2060, 4171, 7807, 2005, 2010, 2194, 2004, 1520, 5083, 7909, 1521, 2005, 1996, 2279, 2322, 2086, 1997, 7217, 16846, 2951, 2001, 1996, 2345, 13137, 2005, 2033, 1012, 2002, 2323, 12897, 1999, 9467, 1012, 2295, 1996, 16612, 3279, 1997, 2491, 2058, 3010, 4219, 1998, 4336, 2013, 1996, 6071, 2000, 1996, 2148, 2038, 2042, 2019, 12170, 1011, 14254, 6771, 1996, 2197, 2261, 5109, 2004, 4197, 2041, 2011, 2720, 1012, 2225, 2682, 1010, 1996, 23413, 2229, 1006, 2030, 2216, 2040, 9811, 2000, 2022, 23413, 2229, 1007, 2079, 2202, 2009, 2000, 1996, 11087, 6034, 1012, 2009, 2001, 3280, 2546, 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, 2197, 2305, 1045, 2018, 1037, 2936, 2084, 2779, 3959, 2008, 2001, 2061, 2146, 1010, 2008, 2009, 2081, 2009, 6211, 2000, 3342, 3033, 1997, 1996, 3959, 1025, 2061, 2045, 2024, 2070, 16680, 1999, 2051, 1010, 2021, 1045, 2097, 2079, 2026, 2190, 2000, 3046, 2000, 3984, 2054, 3047, 1999, 1996, 3959, 1012, 1045, 3342, 2108, 2041, 1997, 2237, 1998, 7194, 2012, 1037, 3309, 2008, 1045, 2031, 4370, 2012, 2077, 1999, 2613, 2166, 1998, 1045, 2001, 3753, 2000, 1996, 3356, 2723, 4755, 2026, 14555, 2000, 2026, 3309, 2282, 1010, 2029, 2001, 2763, 1996, 2168, 2282, 1045, 2018, 4370, 2012, 1999, 2613, 2166, 2077, 1012, 2005, 2070, 3114, 1045, 2018, 2023, 3110, 2008, 2242, 2001, 2183, 2000, 4148, 1010, 2061, 1045, 2371, 2008, 1045, 2323, 2025, 4895, 23947, 2026, 4933, 2043, 1045, 2288, 2046, 2026, 3309, 2282, 1025, 1045, 2001, 1999, 1037, 2204, 6888, 1998, 2787, 2025, 2000, 4737, 2055, 2054, 2453, 4148, 1010, 2021, 1045, 2787, 2008, 1045, 2052, 3046, 2000, 2022, 5399, 9499, 2074, 1999, 2553, 1998, 2022, 3201, 2000, 2681, 2065, 4072, 1012, 1045, 2787, 2000, 2175, 9880, 2012, 1996, 4770, 2061, 1045, 2288, 2026, 5742, 20509, 2006, 1998, 2253, 2000, 1996, 4770, 1010, 2021, 1045, 4384, 2008, 2045, 2020, 2070, 2111, 2525, 5742, 2045, 2021, 1045, 2787, 2000, 2025, 2292, 1996, 4306, 8572, 2033, 1998, 2506, 2006, 2000, 1996, 4770, 1012, 2012, 1996, 4770, 2045, 2001, 1037, 2450, 2007, 2195, 4268, 1998, 1037, 2502, 3899, 1010, 1998, 2061, 1045, 3030, 2000, 2156, 2065, 1996, 3899, 2001, 5379, 2030, 2025, 1012, 1996, 3899, 2939, 2039, 2000, 2033, 11333, 12588, 2049, 5725, 1998, 2009, 2292, 2033, 9004, 2009, 1010, 2061, 2009, 2001, 5379, 1010, 1998, 1996, 2450, 2409, 2033, 2008, 2009, 2052, 2025, 6805, 1025, 2061, 1045, 2318, 2000, 9880, 1999, 1996, 4770, 1998, 1996, 3899, 2036, 2288, 2046, 1996, 4770, 1010, 1998, 2009, 2318, 2000, 9880, 2205, 1012, 1045, 16849, 1998, 2209, 2007, 1996, 3899, 2005, 1037, 2261, 2781, 2021, 2059, 1996, 2450, 1010, 2014, 4268, 1010, 1998, 1996, 3899, 2187, 2000, 2175, 2067, 2503, 2144, 2027, 2018, 2525, 2042, 2045, 2005, 1037, 2146, 2051, 1025, 2061, 1045, 2056, 9119, 2000, 2068, 1998, 2506, 5742, 1012, 1045, 2145, 2371, 2008, 2242, 2001, 2183, 2000, 4148, 1010, 2026, 2034, 3984, 2001, 2008, 2242, 2007, 25516, 2015, 6037, 1998, 1013, 2030, 2242, 2510, 3141, 2052, 4148, 1010, 2021, 1045, 2106, 2025, 8572, 2000, 4737, 2055, 2009, 2144, 1045, 2001, 2383, 1037, 2204, 2051, 1012, 2059, 2028, 1997, 2026, 3428, 2234, 3788, 2000, 1996, 4770, 1998, 1045, 2409, 2032, 2055, 1996, 3899, 2008, 1045, 2018, 2464, 3041, 1010, 2021, 2059, 1045, 2064, 2025, 3342, 2054, 3047, 2279, 3599, 1010, 1045, 2074, 3342, 2108, 2067, 1999, 2026, 4182, 2237, 1999, 1037, 2492, 2379, 1996, 2082, 2008, 1045, 2253, 2000, 4343, 1004, 4833, 3694, 2012, 1012, 2045, 2001, 1037, 4714, 2028, 2466, 1013, 2723, 4545, 1011, 2066, 2173, 1999, 1996, 2690, 1997, 1996, 2492, 1998, 2379, 1996, 4545, 1045, 2228, 2045, 2001, 2019, 2214, 3345, 2008, 2001, 2108, 2109, 2004, 1037, 10517, 2173, 2011, 1996, 2111, 2008, 2973, 1999, 1996, 4545, 1012, 1045, 2228, 1996, 2034, 2112, 1997, 1996, 3345, 2001, 1996, 2542, 2282, 1010, 2178, 2112, 2001, 1996, 3829, 1010, 2028, 2112, 2001, 1996, 28942, 1010, 2028, 2112, 2001, 1996, 11586, 5582, 2282, 1010, 1998, 1045, 2228, 1996, 2060, 3033, 2020, 1996, 18390, 1012, 1006, 1045, 2071, 2022, 3308, 2055, 1996, 2878, 2214, 3345, 2518, 1010, 2021, 2008, 2003, 2026, 3984, 1007, 4312, 1010, 3061, 1004, 3331, 2648, 1997, 1996, 4545, 2020, 2195, 1997, 2026, 2280, 19846, 1998, 1037, 2261, 2060, 4242, 2111, 1025, 2061, 1045, 2253, 2000, 2831, 2000, 2068, 1012, 2028, 1997, 2026, 2280, 19846, 1010, 2040, 1045, 2079, 2025, 3342, 2014, 2171, 2061, 1045, 2097, 2074, 2655, 2014, 2026, 23175, 1010, 2001, 2045, 1025, 1045, 2097, 6235, 2014, 3311, 2138, 2009, 2097, 2022, 7882, 2101, 2006, 1999, 1996, 3959, 1010, 2016, 2018, 3244, 3091, 3442, 8855, 2606, 1998, 2016, 2018, 1037, 14684, 14075, 2303, 3857, 1012, 2012, 2023, 2391, 1045, 2001, 2428, 3110, 2066, 2242, 2001, 2183, 2000, 4148, 1998, 1045, 2001, 2893, 8796, 1010, 2130, 2295, 2057, 2035, 2020, 2383, 1037, 2204, 2051, 2012, 2070, 2391, 2057, 2318, 2000, 2156, 2510, 2948, 3909, 1999, 1996, 3712, 2066, 2242, 3809, 2001, 2183, 2006, 1010, 1045, 2059, 2409, 2619, 2000, 2735, 2006, 1996, 2694, 2000, 2156, 2054, 2001, 2006, 1996, 2739, 1010, 1998, 1045, 2657, 1996, 2739, 6398, 3038, 2242, 2055, 2637, 8225, 2005, 2162, 2030, 2242, 2066, 2008, 1012, 1045, 2001, 3110, 2200, 5191, 1998, 2057, 2035, 2020, 5457, 1010, 1998, 2057, 4999, 2040, 2030, 2054, 2637, 2001, 8225, 2005, 2162, 2114, 1012, 1045, 3342, 3773, 1037, 2261, 5019, 1997, 2510, 3941, 2108, 12057, 2006, 4499, 1010, 2510, 4683, 3048, 2083, 1996, 4534, 1010, 1998, 2111, 1999, 2510, 11408, 4129, 2037, 2945, 9119, 2066, 2027, 2020, 2055, 2000, 2681, 2005, 2162, 1012, 2009, 2001, 2066, 1996, 2510, 2001, 11240, 18622, 6774, 2035, 2058, 1996, 2103, 1998, 2763, 1996, 2406, 1012, 2057, 2318, 2559, 2648, 2667, 2000, 5630, 2065, 2057, 2323, 2994, 2503, 2030, 2681, 1010, 1998, 2242, 3047, 2008, 2081, 2149, 2061, 6015, 2008, 3071, 2318, 2000, 2448, 2046, 1996, 2492, 2000, 2037, 19207, 2061, 2027, 2071, 3298, 2185, 1010, 2021, 1045, 2064, 2025, 3342, 2054, 3303, 2149, 2000, 2022, 2061, 6015, 1025, 1045, 2074, 3342, 2149, 2035, 6634, 6834, 1998, 2111, 4439, 2125, 1012, 2026, 23175, 5225, 2039, 2279, 2000, 2033, 1998, 3253, 2000, 2507, 2033, 1037, 4536, 1999, 2014, 2214, 2630, 18851, 1011, 2066, 2482, 1010, 2021, 2005, 2070, 3114, 2014, 3311, 2018, 2904, 1010, 2016, 2001, 2085, 2018, 1037, 2740, 3771, 2303, 3857, 1998, 2016, 2246, 2488, 3452, 1998, 2014, 6180, 2018, 2904, 1025, 2036, 1045, 2018, 2019, 7107, 8432, 1013, 4434, 2007, 2014, 1006, 1037, 2844, 2512, 1011, 4424, 2828, 3110, 1007, 1998, 1045, 2371, 2066, 8650, 2014, 2066, 2016, 2001, 2026, 2564, 2030, 2242, 1998, 1045, 2371, 2066, 1045, 2001, 22454, 2029, 2001, 5976, 2138, 1045, 2106, 2025, 2514, 2008, 2126, 3041, 2646, 2014, 2030, 3087, 1999, 1996, 3959, 1012, 1045, 2288, 2046, 2014, 2482, 2021, 1996, 3194, 3030, 1010, 2057, 2020, 2119, 2020, 2200, 6015, 1010, 2021, 1045, 2409, 2014, 2000, 2735, 1996, 3145, 2000, 1996, 2125, 2597, 1998, 3046, 3810, 1996, 3145, 2153, 2021, 2016, 2001, 2205, 6015, 1025, 2061, 1045, 2357, 1996, 3145, 2000, 1996, 2125, 2597, 1998, 2059, 1045, 2357, 1996, 3145, 2000, 1996, 2006, 2597, 2153, 1998, 1996, 3194, 2318, 1010, 1998, 2059, 2016, 1013, 2057, 5225, 2125, 2200, 2855, 1012, 1045, 2064, 2025, 3342, 2054, 3047, 2279, 1010, 1045, 2074, 3342, 1996, 3959, 2108, 2067, 2012, 1996, 2492, 2379, 1996, 4545, 1010, 2009, 2790, 2008, 2070, 2051, 2018, 2627, 1998, 2477, 2020, 3835, 1012, 2045, 2003, 1037, 2502, 6578, 1999, 2051, 2021, 2076, 2023, 2051, 1045, 2113, 2008, 2026, 23175, 2036, 2018, 2019, 8432, 1013, 4434, 2007, 2033, 1010, 1045, 2145, 2371, 22454, 1010, 2057, 2018, 2318, 5306, 1010, 2057, 2130, 2288, 2496, 1010, 1998, 1045, 2228, 2045, 2001, 2831, 1997, 10032, 2021, 1045, 2079, 2025, 2228, 2016, 2001, 6875, 2664, 1998, 1996, 2755, 2045, 2001, 2130, 2831, 2055, 2023, 2001, 5976, 2144, 2256, 8432, 1013, 4434, 2106, 2025, 4025, 2000, 2022, 4424, 1998, 1045, 2079, 2025, 2130, 3342, 2149, 2130, 7618, 1999, 1996, 3959, 1025, 2036, 1996, 2082, 2379, 1996, 2492, 2018, 1037, 2267, 2045, 2085, 2029, 2012, 2070, 2391, 1045, 2018, 2042, 1037, 3076, 2045, 1010, 1998, 2070, 2724, 2001, 2183, 2006, 2012, 1996, 4189, 16365, 2379, 1996, 1045, 3342, 2026, 23175, 1013, 2564, 1010, 1996, 2111, 2012, 1996, 4545, 1010, 1998, 1045, 2383, 1037, 2204, 2051, 2012, 1996, 2214, 3345, 2030, 3649, 2009, 2001, 2030, 2672, 1996, 3345, 2001, 2025, 1999, 1996, 3959, 3041, 2021, 2001, 1999, 1996, 3959, 2012, 2023, 2391, 1025, 1998, 2012, 2070, 2391, 1045, 2253, 2000, 8849, 1996, 2267, 1998, 1996, 2724, 2012, 1996, 4189, 16365, 2894, 1012, 2477, 2020, 2183, 2307, 1998, 1045, 2079, 2025, 3342, 3773, 2030, 4994, 2505, 2055, 1996, 2637, 8225, 2005, 2162, 2518, 2012, 2023, 2391, 1010, 2009, 2001, 2066, 2008, 2018, 2025, 3047, 2030, 2242, 2030, 2008, 2009, 2001, 1037, 2146, 2051, 3283, 2030, 2008, 2003, 2001, 2085, 2058, 2672, 1025, 1999, 2755, 1045, 2079, 2025, 3342, 2130, 3241, 2055, 2009, 2012, 2023, 2012, 2070, 2391, 1045, 2253, 2067, 2000, 1996, 2492, 2011, 1996, 4545, 1998, 1045, 2387, 2026, 23175, 1013, 2564, 1998, 2253, 2000, 2831, 2000, 2014, 2021, 2016, 2018, 2904, 2067, 2000, 2014, 3671, 2969, 1010, 1045, 2106, 2025, 2514, 1996, 4434, 1013, 8432, 4902, 1010, 2014, 6180, 2001, 2067, 2000, 3671, 1010, 1998, 1996, 4372, 14856, 21181, 3110, 1045, 2018, 2001, 4147, 2125, 1012, 2057, 2119, 4384, 2008, 2057, 2053, 2936, 2371, 1996, 4434, 1013, 8432, 1998, 2057, 2119, 3651, 2008, 2057, 2018, 5407, 2496, 1998, 2318, 2000, 3342, 2477, 1010, 2066, 2057, 2018, 2042, 2104, 1037, 6297, 1013, 4372, 14856, 21181, 2030, 2242, 1025, 2057, 2119, 2855, 2787, 2000, 2175, 3046, 2000, 2031, 2256, 3510, 6105, 13261, 1012, 2026, 23175, 1013, 2564, 2409, 2033, 2008, 2077, 2057, 2119, 2018, 2074, 2777, 1999, 1996, 2492, 1010, 2008, 2009, 2371, 2066, 2242, 2018, 2187, 2014, 2303, 1010, 1998, 2016, 2371, 3671, 2153, 1025, 2016, 2056, 2009, 2001, 2066, 2016, 2018, 2042, 8679, 2030, 2242, 1010, 2021, 2085, 3649, 2018, 8679, 2014, 2001, 2908, 1012, 1045, 2371, 2008, 2023, 2081, 3168, 1010, 2144, 1045, 2018, 4622, 2008, 2016, 2018, 2904, 3041, 1999, 1996, 3959, 1998, 2129, 1045, 2318, 2000, 2514, 1996, 8432, 1013, 4434, 1004, 22454, 3110, 2044, 2008, 3047, 1025, 2061, 1045, 2359, 2000, 8556, 1996, 3663, 2101, 2044, 2057, 2288, 1996, 3510, 6105, 13261, 2034, 1012, 1045, 4622, 2008, 1037, 2450, 2012, 1996, 2267, 2001, 1996, 2028, 2008, 2435, 2149, 1996, 3510, 6105, 1010, 2061, 2057, 2253, 2000, 2014, 2436, 2091, 1996, 2395, 2013, 1996, 2492, 1025, 1996, 2450, 2409, 2149, 2008, 2016, 2071, 17542, 1996, 3510, 6105, 2144, 2057, 2018, 2025, 2042, 2496, 2146, 1010, 2065, 1045, 2071, 6011, 2008, 1045, 2018, 2320, 2042, 1037, 3076, 1997, 1996, 2267, 1010, 2061, 1045, 3662, 2014, 2070, 2267, 28258, 2008, 2020, 1999, 2026, 15882, 1998, 2061, 2016, 13261, 2256, 3510, 6105, 1012, 2026, 23175, 1998, 1045, 2020, 2119, 3893, 2055, 1996, 3663, 2021, 2057, 2119, 2020, 2145, 5457, 2004, 2000, 2129, 2035, 1997, 2023, 2018, 3047, 1010, 1998, 2059, 2057, 2056, 2256, 9119, 2015, 1998, 2939, 2256, 3584, 3971, 1012, 1045, 2787, 2000, 3328, 2039, 1996, 2395, 2000, 2228, 2055, 2054, 2018, 3047, 1010, 2144, 1996, 4633, 2001, 2200, 3835, 1010, 2021, 2004, 1045, 2001, 3788, 2894, 1045, 2657, 2054, 5015, 2066, 1037, 2450, 5870, 2007, 1037, 18350, 4756, 2066, 2016, 2018, 2074, 2209, 1037, 26418, 1013, 8257, 2006, 2619, 2030, 2016, 2001, 2383, 4569, 2030, 2242, 1025, 2003, 2001, 2025, 1037, 16491, 4756, 1010, 2021, 1037, 3893, 1011, 2828, 4756, 1012, 1045, 2357, 1998, 2387, 1037, 2235, 4408, 2317, 3608, 1997, 2422, 2008, 2001, 3048, 2105, 15056, 2379, 2033, 2008, 2001, 2055, 1996, 2946, 1997, 1037, 2235, 3455, 2030, 2235, 4715, 3608, 1045, 2228, 1998, 1045, 2228, 1045, 2387, 1996, 12685, 1997, 1037, 2235, 2931, 28051, 2007, 4777, 2672, 2503, 1996, 4408, 2317, 2422, 1010, 2021, 1996, 4408, 2317, 2422, 2001, 2061, 4408, 2008, 1045, 2071, 2025, 2428, 2156, 2505, 2021, 2317, 2422, 3262, 1012, 2026, 2034, 2245, 2001, 2008, 2023, 2001, 2763, 2054, 2018, 8679, 2026, 23175, 1998, 1045, 4999, 2054, 2009, 2001, 1010, 2026, 2034, 2245, 2001, 2008, 2009, 2001, 1037, 8867, 1010, 2029, 2106, 2025, 2130, 2191, 3168, 2000, 2033, 2130, 1999, 1996, 3959, 2144, 1045, 2079, 2025, 2130, 2113, 2054, 1037, 8867, 2003, 6814, 2000, 2022, 2030, 2298, 2066, 3599, 1012, 2012, 2023, 2391, 2009, 2593, 24162, 2007, 2033, 2011, 2245, 1998, 1013, 2030, 1037, 11185, 2318, 3331, 1010, 2021, 1045, 2228, 2057, 2074, 24162, 4780, 2011, 2245, 1010, 2029, 1045, 2079, 2025, 2412, 3342, 6230, 1999, 2028, 1997, 2026, 5544, 2077, 1012, 1045, 2228, 2008, 2009, 20119, 2008, 2009, 2001, 2054, 2018, 8679, 2026, 23175, 1010, 2021, 1045, 2001, 2025, 4452, 1997, 2009, 1998, 1045, 2228, 2008, 1045, 2371, 2070, 1997, 2008, 8432, 1013, 4434, 1013, 6625, 1004, 22454, 3110, 2646, 2009, 1010, 2029, 2036, 2081, 2033, 2514, 2008, 2009, 2001, 2054, 2018, 8679, 2026, 23175, 1012, 1045, 2228, 1045, 24162, 2007, 2009, 2011, 2245, 4851, 2009, 2000, 4872, 2025, 2000, 2079, 2008, 2153, 2302, 5432, 2033, 2030, 4851, 2033, 2034, 1010, 1045, 2228, 1010, 2021, 1045, 2572, 2025, 2469, 2065, 2009, 3530, 2030, 2025, 1012, 1045 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2043, 2026, 4268, 2175, 2067, 2000, 2082, 1010, 2009, 2003, 2467, 2019, 11480, 2051, 2005, 2033, 1012, 2043, 1045, 2001, 2551, 17982, 2112, 1011, 2051, 1006, 1018, 2420, 1037, 2733, 1007, 1045, 16833, 2098, 2026, 10089, 2039, 2000, 1996, 6911, 1997, 2551, 1998, 4363, 2650, 1997, 2035, 1996, 2927, 1997, 1996, 2095, 3450, 2066, 1010, 2330, 3506, 1010, 6687, 1523, 3113, 1998, 17021, 2015, 1524, 1998, 1996, 2707, 1997, 4715, 2161, 1012, 2009, 1521, 1055, 2042, 2058, 2184, 2086, 2144, 1045, 2499, 2648, 1997, 1996, 2188, 1998, 1045, 2145, 10509, 2000, 1996, 2927, 1997, 1996, 2082, 2095, 1996, 2168, 2126, 1012, 1045, 2113, 2008, 2026, 17076, 3367, 12402, 2013, 2062, 2084, 2074, 2019, 2058, 17468, 6134, 1012, 1996, 3558, 2943, 2734, 2000, 6855, 2054, 7955, 3791, 2467, 7545, 2006, 12893, 2005, 2033, 1012, 9536, 2075, 1996, 2082, 2095, 2007, 1996, 6265, 8378, 1998, 2082, 6067, 1010, 29267, 13669, 2075, 1998, 19453, 5375, 4050, 7545, 2006, 1037, 11320, 12207, 17748, 1012, 1999, 2086, 2627, 1010, 2138, 1997, 2108, 5665, 2013, 11320, 12207, 1010, 1045, 4771, 2028, 2330, 3506, 1012, 2006, 2122, 6642, 1010, 2928, 2052, 2175, 2302, 2033, 1010, 2635, 8872, 6313, 3964, 4209, 2054, 3980, 1045, 2052, 3198, 1997, 2032, 2055, 1996, 5089, 1998, 1996, 8882, 2043, 2002, 2288, 2188, 1012, 2009, 2134, 1521, 1056, 3043, 2129, 2092, 2002, 8971, 1996, 4708, 2894, 1012, 2009, 2134, 1521, 1056, 3043, 2129, 2855, 2026, 4268, 2288, 2058, 2037, 10520, 2008, 1045, 2347, 1521, 1056, 2183, 2000, 3113, 2037, 5089, 2008, 3327, 2305, 1012, 1045, 2371, 5905, 2008, 1045, 2347, 1521, 1056, 2183, 1012, 2026, 5110, 6232, 24186, 2098, 2033, 2007, 3980, 2066, 1010, 1523, 2054, 1521, 1055, 3308, 2007, 2017, 1029, 1524, 1523, 2064, 1521, 1056, 2017, 11891, 2009, 2039, 2005, 1037, 3232, 1997, 2847, 1029, 1524, 1996, 8056, 1998, 2969, 1011, 6256, 2288, 4788, 2320, 1045, 3030, 2551, 1012, 1523, 2017, 1521, 2128, 2025, 2130, 2551, 1998, 2017, 2145, 2064, 1521, 1056, 4139, 2009, 2362, 2000, 2175, 2000, 2115, 4268, 1521, 2816, 1012, 1524, 2130, 2295, 2028, 1997, 1996, 2190, 2128, 7583, 3111, 2005, 1037, 11320, 12207, 17748, 2003, 2717, 1010, 2005, 2033, 2009, 2001, 2524, 2000, 2272, 2011, 2007, 2107, 1037, 8401, 5110, 6232, 2012, 1996, 16254, 1012, 2007, 2051, 1998, 2393, 1010, 1045, 1521, 2310, 4342, 2000, 4251, 2021, 2025, 4223, 2026, 2200, 6387, 5110, 6232, 1012, 2043, 1045, 2514, 2870, 2183, 2091, 1996, 1010, 1523, 2017, 2323, 2022, 2583, 2000, 1529, 1524, 4130, 1010, 1045, 1521, 1049, 19059, 2085, 2000, 2202, 2729, 1997, 2870, 1998, 3342, 2000, 2079, 2054, 1045, 2467, 9075, 2500, 2000, 1010, 1523, 2022, 2204, 2000, 4426, 1012, 1524, 2145, 1010, 1045, 1521, 1049, 4843, 2007, 2026, 1523, 2067, 2000, 2082, 1524, 7942, 2004, 2330, 3506, 25233, 2023, 2733, 2005, 2026, 4268, 1012, 2012, 2119, 1996, 2690, 2082, 1998, 1996, 2152, 2082, 1010, 1996, 2330, 3506, 2024, 4146, 1996, 2168, 2126, 1012, 3008, 1013, 14240, 3582, 2037, 2775, 1521, 1055, 3679, 1010, 12167, 12066, 1010, 6134, 1998, 3113, 2035, 1997, 2037, 5089, 1012, 2183, 2000, 2026, 5727, 1521, 2082, 1010, 2029, 2001, 2036, 5207, 1998, 21442, 11285, 1521, 1055, 2690, 2082, 3475, 1521, 1056, 10886, 2151, 3471, 2005, 2033, 1012, 2009, 2003, 2183, 2000, 1996, 2152, 2082, 2008, 2038, 2033, 22348, 1012, 2928, 3475, 1521, 1056, 2469, 2002, 1521, 2222, 2022, 2583, 2000, 2175, 2023, 2095, 1998, 1045, 1521, 1049, 2025, 2469, 1045, 2064, 2175, 2894, 1012, 2005, 5207, 1521, 1055, 10452, 2095, 2012, 1996, 2152, 2082, 1010, 2928, 2253, 2000, 1996, 2034, 2330, 2160, 2011, 2370, 1012, 2008, 2034, 2095, 2002, 2234, 2188, 2000, 2425, 2033, 1997, 2035, 1997, 5207, 1521, 1055, 5089, 1998, 2010, 2147, 11066, 1012, 1045, 7791, 17858, 1010, 16663, 2054, 1045, 2657, 1998, 4340, 2025, 2000, 3335, 2178, 2330, 2160, 1012, 1999, 1996, 2086, 2008, 2628, 1010, 2928, 1998, 1045, 2253, 2000, 1996, 2152, 2082, 2330, 3506, 1010, 26352, 9709, 2247, 2007, 2035, 1996, 2060, 3008, 2083, 1996, 1018, 1011, 2466, 2311, 2007, 2049, 15079, 2015, 1997, 28274, 1012, 2009, 2001, 3733, 2000, 2131, 2357, 2105, 2138, 1996, 15200, 1997, 4734, 4076, 2053, 11177, 2344, 1012, 3788, 1996, 9873, 1997, 2008, 5294, 2152, 2082, 2667, 2000, 2424, 12463, 2038, 2467, 2042, 3697, 2005, 2033, 1012, 1045, 2572, 2969, 1011, 11441, 2004, 13589, 2135, 1998, 20396, 2135, 8315, 1012, 5378, 2033, 5375, 2011, 4129, 2033, 2000, 3604, 2264, 2030, 2008, 1037, 2311, 2003, 2006, 1996, 4514, 3420, 4165, 2066, 1037, 3097, 2653, 1012, 2043, 2928, 1998, 1045, 2973, 1999, 5395, 1045, 2170, 2032, 2013, 2147, 2076, 2028, 1997, 2256, 2034, 2420, 2045, 2000, 2507, 2033, 7826, 2000, 1996, 17006, 1012, 2023, 2051, 2001, 2077, 3526, 11640, 2030, 1045, 2052, 2031, 2921, 2032, 2006, 1996, 2240, 2127, 1045, 2584, 2026, 7688, 1012, 2612, 1045, 13538, 2006, 7826, 2517, 2006, 1037, 15121, 1997, 3259, 1012, 2002, 2318, 2010, 7826, 2007, 1010, 1523, 2043, 2017, 2131, 2000, 1996, 2327, 1997, 1996, 2395, 1010, 2191, 1037, 2187, 1012, 1524, 1045, 3202, 3030, 2032, 1012, 1045, 5941, 1010, 1523, 3342, 2040, 2017, 1521, 2128, 3331, 2000, 1012, 2043, 1045, 2131, 2000, 1996, 2203, 1997, 1996, 11202, 2029, 2126, 2079, 1045, 2735, 1029, 1524, 1045, 1521, 2310, 2467, 2734, 1523, 2187, 1524, 1010, 1523, 2157, 1524, 7826, 2007, 7564, 1997, 16209, 6908, 1999, 2005, 22936, 1012, 2169, 2051, 1045, 1521, 1049, 2012, 1996, 2152, 2082, 2005, 1037, 3116, 1045, 3198, 2005, 7826, 2247, 2007, 1996, 2282, 2193, 1998, 3499, 2870, 1523, 2893, 2439, 1524, 2051, 1012, 2197, 2095, 2001, 2256, 2034, 2330, 2160, 2012, 1996, 2152, 2082, 2005, 21442, 11285, 2130, 2295, 2002, 2001, 1037, 3502, 1012, 2002, 2106, 1037, 3054, 1011, 2095, 4651, 2013, 1037, 2797, 2082, 2010, 13758, 2095, 1010, 2061, 2057, 4771, 1996, 3025, 2095, 1521, 1055, 2330, 2160, 1012, 2096, 1045, 1521, 1040, 2042, 2004, 2521, 2004, 1996, 1523, 6160, 2415, 1524, 2000, 4530, 2125, 21442, 11285, 1521, 1055, 8819, 3596, 1010, 1996, 2330, 2160, 2001, 1996, 2034, 2051, 2067, 1010, 3788, 1996, 9873, 1997, 1996, 2152, 2082, 2144, 5207, 2351, 1012, 2045, 2001, 29461, 23267, 3370, 2005, 2119, 2928, 1998, 1045, 1010, 6603, 2129, 2009, 2052, 2514, 2000, 16906, 2046, 5089, 2057, 2910, 1521, 1056, 2464, 2144, 5207, 2351, 2030, 2130, 4133, 1999, 12463, 2008, 2002, 2320, 4548, 1012, 2007, 2035, 1997, 2256, 14038, 1998, 3571, 1010, 2057, 2020, 4340, 2000, 2175, 1012, 2256, 2336, 2342, 2000, 2113, 2008, 2057, 2024, 3929, 11241, 1999, 2037, 7534, 1998, 2037, 17795, 1012, 1045, 2921, 4129, 2928, 1010, 1523, 2009, 1521, 1055, 21442, 11285, 1521, 1055, 2082, 2085, 2205, 1012, 1524, 2057, 2939, 2013, 2256, 2188, 2000, 1996, 2152, 2082, 3173, 2398, 2096, 9105, 2169, 2060, 2039, 2006, 2256, 2420, 1012, 2057, 3133, 1996, 2082, 1998, 2020, 3140, 2046, 1996, 10188, 1997, 2060, 3008, 17076, 2989, 2005, 1037, 2173, 1999, 2240, 2000, 4060, 2039, 2037, 2775, 1521, 1055, 6134, 1012, 2045, 2876, 1521, 1056, 2022, 2172, 2051, 2000, 2128, 25300, 11020, 2063, 1012, 1045, 2001, 7653, 1012, 1045, 2359, 2026, 3579, 2000, 2022, 2006, 21442, 11285, 1010, 2130, 2295, 2296, 2245, 2018, 2004, 2049, 18876, 4871, 1997, 5207, 3788, 1996, 9873, 1012, 1045, 2001, 5327, 2205, 2008, 2057, 2876, 1521, 1056, 2448, 2046, 2151, 2092, 1011, 3574, 2814, 2030, 29409, 2008, 2052, 3198, 2007, 12063, 3561, 2159, 1010, 1523, 2129, 2024, 2017, 1029, 1524, 12063, 2003, 2524, 2000, 5138, 1012, 7459, 1010, 5142, 1010, 15398, 1010, 2130, 17964, 2013, 2500, 2024, 5346, 1045, 3305, 1012, 12063, 3084, 2033, 4854, 1012, 2005, 2033, 2619, 4760, 12063, 3653, 6342, 9397, 27465, 3716, 1998, 4824, 2055, 2129, 1045, 1521, 1049, 3110, 1998, 2054, 1996, 9940, 1045, 1521, 1049, 16762, 1012, 2009, 2467, 5683, 17958, 2007, 4335, 2008, 1996, 3279, 2134, 1521, 1056, 4148, 2000, 2068, 1012, 1045, 2018, 2026, 3457, 2039, 1010, 6595, 6819, 20142, 4630, 1998, 5327, 2008, 2053, 2028, 2052, 2360, 2505, 15884, 2055, 2026, 3279, 1006, 1523, 2002, 1521, 1055, 1999, 1037, 2488, 2173, 1524, 1007, 2030, 2514, 1996, 2342, 2000, 10651, 2033, 2006, 2037, 2336, 1521, 1055, 3268, 2130, 2295, 1045, 2910, 1521, 1056, 2356, 1012, 4994, 2111, 2831, 2055, 2129, 2172, 2037, 2336, 3866, 2108, 2185, 2012, 2267, 1998, 2008, 2027, 2020, 4041, 2000, 2156, 2068, 2005, 3008, 1521, 5353, 3480, 2061, 2172, 1999, 1996, 2034, 2095, 2044, 5207, 2351, 1012, 1045, 2001, 2061, 12603, 23355, 2011, 9940, 2008, 1045, 6524, 2106, 2062, 2084, 3233, 1998, 7293, 2043, 2111, 2052, 10651, 2033, 2006, 1996, 2267, 6322, 1997, 2037, 2336, 2130, 2295, 1045, 2359, 2000, 2735, 1998, 2448, 1012, 2044, 2928, 1998, 1045, 2253, 2000, 2195, 1997, 21442, 11285, 1521, 1055, 4280, 2057, 2318, 2000, 9483, 1037, 2978, 1012, 2004, 2057, 3030, 2000, 2298, 2012, 1996, 6134, 2000, 2156, 2073, 21442, 11285, 1521, 1055, 2279, 2465, 2001, 1010, 2019, 18363, 2007, 3183, 2057, 4207, 2195, 8203, 2814, 3030, 2149, 1999, 1996, 2534, 2000, 2360, 7592, 1012, 1012, 2057, 1521, 2310, 2124, 2169, 2060, 2144, 21442, 11285, 1998, 2014, 2365, 2253, 2000, 23655, 2362, 1012, 2016, 2359, 1996, 10651, 2006, 21442, 11285, 1521, 1055, 4651, 2000, 1996, 2152, 2082, 1998, 2356, 2129, 2256, 5727, 2020, 2725, 1012, 2057, 5720, 1997, 2129, 2502, 1996, 3057, 2020, 2893, 1998, 2748, 2129, 2051, 10029, 2445, 2008, 2119, 1997, 2256, 4124, 2024, 1999, 2152, 2082, 1012, 2057, 2768, 5629, 1998, 2059, 2016, 2056, 1010, 1523, 2017, 2031, 1037, 2365, 1999, 2267, 2205, 1010, 2157, 1029, 1524, 1999, 1996, 3823, 2044, 1996, 3980, 2928, 1998, 1045, 2246, 2012, 2169, 2060, 6603, 2029, 1997, 2149, 2052, 3437, 1012, 2129, 2071, 2016, 2025, 2113, 2055, 5207, 1029, 1045, 4370, 20101, 4209, 2008, 1996, 2069, 2060, 6718, 1045, 2018, 2001, 7385, 1012, 2928, 12885, 2056, 2000, 2014, 1010, 1523, 5207, 2001, 2730, 1999, 1037, 2482, 4926, 2197, 2255, 1012, 1524, 2014, 2192, 5520, 2000, 2014, 2677, 1998, 2016, 2056, 1010, 1523, 2821, 2026, 2643, 1010, 1045, 2354, 2008, 1012, 1045, 1521, 1049, 2061, 3374, 1012, 1524, 2928, 2409, 2014, 2025, 2000, 4737, 1012, 1045, 4370, 4333, 1998, 4208, 2026, 3086, 2006, 2014, 2157, 4540, 1012, 1045, 2134, 1521, 1056, 2215, 2026, 2159, 2000, 3113, 5106, 4902, 1012, 2016, 2921, 3331, 1010, 12531, 3038, 2129, 4795, 1996, 4925, 2020, 1998, 2129, 2016, 2467, 4136, 2014, 2365, 2000, 2022, 6176, 1012, 1045, 2245, 2021, 2134, 1521, 1056, 2360, 1010, 1523, 3398, 2008, 2001, 2256, 6707, 1012, 2057, 2134, 1521, 1056, 2425, 5207, 2000, 2022, 6176, 1012, 3531, 2644, 3331, 999, 1524, 1996, 2197, 2518, 1045, 2657, 2014, 2360, 2001, 2008, 2016, 2471, 2288, 2046, 1037, 2482, 4926, 3041, 2008, 2154, 1012, 2016, 2056, 1010, 1523, 2471, 1524, 1010, 1045, 2134, 1521, 1056, 2215, 2000, 2963, 1996, 2773, 2471, 1998, 4926, 23509, 2362, 1010, 2025, 2043, 2026, 2365, 2003, 2757, 1012, 6634, 2001, 4803, 1999, 2033, 1998, 2009, 2633, 27702, 2006, 2033, 2008, 1045, 2134, 1521, 1056, 2031, 2000, 2562, 3061, 2045, 5962, 2000, 2014, 1012, 1045, 2018, 2000, 2131, 2185, 1010, 2061, 1045, 2318, 3048, 2875, 1996, 2300, 9545, 1012, 2019, 2214, 11429, 1997, 3067, 10538, 2046, 2026, 4130, 1010, 17662, 2033, 1998, 4851, 2040, 21442, 11285, 2018, 2005, 2010, 8606, 17220, 1012, 1045, 2246, 2039, 2000, 2156, 2008, 2026, 18363, 2018, 9955, 1012, 2016, 2053, 4797, 2481, 1521, 1056, 2424, 1037, 2126, 2041, 1997, 1996, 4512, 2593, 1998, 2001, 7653, 2000, 2031, 1037, 4248, 6164, 1012, 2044, 4780, 4092, 2007, 2026, 11429, 1010, 2928, 1998, 1045, 2246, 2012, 2169, 2060, 1998, 16242, 6171, 1012, 1996, 4330, 2005, 1996, 2279, 2465, 2001, 13060, 1998, 2057, 2119, 2359, 2000, 3113, 1996, 2717, 1997, 21442, 11285, 1521, 1055, 5089, 1012, 2004, 2057, 2318, 2000, 3328, 2875, 1996, 2279, 2465, 1045, 9672, 2928, 1521, 1055, 2849, 1999, 6634, 1010, 10397, 1996, 2028, 2173, 1045, 2134, 1521, 1056, 2215, 2000, 4148, 2588, 1010, 1996, 3780, 2282, 1012, 5207, 2001, 2006, 1996, 3780, 3095, 3225, 2010, 13758, 2095, 1012, 2002, 3866, 1996, 2147, 1998, 1996, 11503, 5400, 4063, 2666, 1998, 2052, 2411, 2022, 2012, 2082, 2127, 2200, 2397, 2046, 1996, 2305, 2043, 2027, 2020, 2725, 9621, 1012, 3241, 2055, 5207, 1521, 1055, 4434, 2000, 2008, 2282, 1998, 4209, 2129, 13072, 1045, 2001, 1045, 3990, 1999, 2928, 1521, 1055, 4540, 1010, 1523, 1045, 2123, 1521, 1056, 2215, 2000, 2175, 2011, 1996, 3780, 2282, 1012, 1045, 2064, 1521, 1056, 5047, 2008, 3892, 1012, 2008, 1521, 1055, 2205, 2172, 1012, 1524, 1045, 2001, 5513, 2026, 2132, 1998, 2667, 2025, 2000, 5390, 1012, 2928, 2356, 2028, 1997, 1996, 3076, 12468, 1999, 1996, 2534, 2073, 1996, 3780, 2282, 2001, 1012, 2016, 4197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5570, 1002, 4749, 1012, 5345, 2566, 5835, 1516, 2006, 5096, 2085, 2005, 1024, 4965, 2260, 2005, 2069, 1002, 24426, 1012, 2871, 1006, 19723, 1012, 1002, 5354, 2683, 1012, 2871, 1007, 2008, 1005, 1055, 2069, 1002, 2676, 1012, 5345, 2566, 5835, 1010, 2017, 3828, 1002, 21611, 1012, 4002, 4965, 1020, 2005, 2069, 1002, 19871, 1012, 3963, 1006, 19723, 1012, 1002, 25926, 1012, 3963, 1007, 2008, 1005, 1055, 2069, 1002, 2861, 1012, 5345, 2566, 5835, 1010, 2017, 3828, 1002, 10715, 1012, 4002, 4965, 1017, 2005, 2069, 1002, 10550, 1012, 5594, 1006, 19723, 1012, 1002, 17332, 1012, 5594, 1007, 2008, 1005, 1055, 2069, 1002, 3486, 1012, 5345, 2566, 5835, 1010, 2017, 3828, 1002, 4413, 1012, 4002, 4965, 1015, 2005, 2069, 1002, 4464, 1012, 5345, 1006, 19723, 1012, 1002, 4749, 1012, 5345, 1007, 2017, 3828, 1002, 2184, 1012, 4002, 2125, 1996, 3180, 1002, 4749, 1012, 5345, 3976, 2572, 2290, 1024, 1017, 3928, 1006, 1998, 2210, 1011, 2124, 1007, 20435, 2000, 9239, 15502, 4167, 3853, 3435, 2065, 2017, 1005, 2128, 2012, 2035, 2066, 2033, 1010, 2017, 2763, 2123, 1005, 1056, 2228, 2205, 2172, 2055, 1996, 2740, 1998, 2092, 1011, 2108, 1997, 2115, 4167, 1010, 4496, 2049, 3276, 2000, 5372, 14266, 1012, 5262, 1010, 2087, 1997, 2149, 3492, 2172, 2202, 4167, 2740, 2005, 4379, 1516, 2008, 2003, 1010, 2127, 2242, 3632, 3308, 1998, 2057, 6360, 4088, 2000, 4558, 2008, 22446, 5177, 1062, 2075, 1010, 3861, 1011, 3819, 3638, 1998, 13769, 18439, 15563, 2057, 1005, 1040, 2320, 5632, 1012, 6529, 2360, 2057, 4558, 2039, 2000, 3438, 1003, 1997, 2256, 5177, 3579, 2090, 5535, 2871, 2000, 3963, 1010, 2927, 2007, 1996, 2458, 1997, 8030, 2066, 1024, 1011, 3638, 3279, 1998, 5293, 20938, 1011, 7669, 16966, 1011, 3768, 1997, 3579, 1011, 2659, 5177, 2943, 1011, 3768, 1997, 14354, 1011, 2625, 2583, 2000, 1000, 2228, 2006, 2028, 1005, 1055, 2519, 1000, 6950, 4366, 1996, 2206, 8030, 2788, 3653, 22119, 15911, 4167, 3853, 1025, 1999, 2060, 2616, 1010, 2027, 1005, 2128, 5751, 2008, 28767, 2064, 2022, 2006, 1996, 9154, 1024, 1011, 2524, 2051, 2893, 4114, 1011, 2524, 2051, 2893, 2318, 2006, 2115, 3679, 8518, 1011, 2524, 2051, 6595, 4208, 2006, 2115, 3679, 8518, 1011, 2383, 2000, 8183, 2102, 2091, 7167, 1997, 2210, 3679, 1000, 14764, 2015, 1000, 1011, 7669, 4083, 2047, 2477, 1011, 7669, 4531, 1996, 2157, 2616, 1011, 3110, 10597, 1000, 18001, 1000, 2062, 2411, 2084, 3110, 2039, 18412, 2098, 1011, 2424, 4426, 3772, 5600, 2135, 1025, 2625, 2942, 2000, 2500, 2065, 2017, 2424, 4426, 24665, 29098, 2989, 2007, 8030, 2107, 2004, 2216, 2682, 1010, 14266, 5130, 2360, 2115, 4167, 2071, 2022, 1999, 1037, 2110, 1997, 4942, 1011, 11888, 6911, 1998, 16612, 15451, 11263, 27989, 2349, 2000, 26780, 2139, 10814, 3508, 1012, 2021, 2054, 2064, 2017, 2079, 2055, 2009, 1029, 2429, 2000, 7000, 28268, 2473, 2953, 8057, 7570, 28120, 2232, 1010, 3532, 23444, 14243, 2064, 3426, 8030, 1997, 16612, 5177, 6689, 2000, 2707, 4760, 2039, 2004, 2220, 2004, 2028, 1005, 1055, 2382, 1005, 1055, 1012, 7570, 28120, 2232, 2758, 2008, 2111, 2992, 2007, 3532, 28268, 14243, 1000, 2024, 2012, 3445, 3891, 1997, 5729, 10699, 26118, 2101, 1999, 2166, 1010, 4983, 2027, 2191, 1037, 8426, 2000, 14584, 4167, 3853, 28268, 2135, 1012, 1000, 2057, 1005, 2222, 2831, 2055, 14584, 4167, 3853, 2007, 14266, 1010, 2279, 1012, 10889, 1010, 2004, 2017, 1005, 2222, 2156, 1010, 2093, 3563, 20435, 2024, 2245, 2011, 2116, 8519, 2000, 2022, 1996, 5023, 6309, 2000, 10910, 1998, 8498, 15502, 4167, 3853, 2004, 2057, 2287, 1012, 1996, 1017, 1000, 2442, 2031, 1000, 20435, 2005, 15502, 4167, 2740, 1998, 2092, 1011, 2108, 2043, 2009, 3310, 2000, 6904, 21928, 2075, 4167, 2740, 1010, 2057, 2411, 2123, 1005, 1056, 2113, 2029, 20435, 2000, 2735, 2000, 1999, 2344, 2000, 12992, 4167, 2943, 3798, 1010, 5335, 4167, 3853, 1998, 11598, 1037, 3893, 5177, 1998, 6832, 17680, 1012, 2021, 2031, 2053, 3571, 1024, 2096, 1996, 4167, 21852, 1037, 2898, 3528, 1997, 20435, 2296, 2154, 1516, 6638, 2015, 1010, 5699, 2015, 1998, 2500, 1010, 2411, 1999, 4013, 4305, 11411, 2271, 12450, 1516, 2045, 2024, 2093, 3563, 20435, 2124, 2000, 2022, 2426, 1996, 2087, 2590, 1997, 2068, 2035, 2005, 12992, 2075, 4167, 2740, 1998, 2092, 1011, 2108, 1010, 1998, 2005, 2025, 2074, 9229, 2021, 1999, 5737, 20255, 5844, 4167, 3853, 1012, 1998, 2157, 2085, 1010, 1045, 1005, 1049, 2183, 2000, 2425, 2017, 2055, 2035, 2093, 1997, 2068, 2061, 2017, 1005, 2222, 2113, 2339, 2122, 3928, 2664, 2210, 1011, 2124, 20435, 2024, 2061, 2590, 2000, 10910, 1998, 8498, 24821, 5301, 4167, 2740, 1998, 15502, 4167, 3853, 1010, 2119, 2085, 1010, 1998, 2130, 2062, 2061, 2004, 2017, 2131, 3080, 1024, 1064, 1001, 1015, 2442, 1011, 2031, 4167, 26780, 1024, 16298, 20049, 2638, 4440, 15006, 24556, 1006, 12649, 1007, 1516, 1996, 2529, 4167, 3594, 2062, 2943, 2084, 2151, 2060, 5812, 1012, 2044, 2035, 1010, 2009, 1005, 1055, 1996, 3040, 2491, 5812, 2005, 1996, 2972, 2303, 1012, 1998, 1996, 3078, 3120, 1997, 12562, 2943, 1999, 1996, 4167, 2003, 1037, 26780, 2124, 2004, 16298, 20049, 2638, 4440, 15006, 24556, 1010, 2030, 12649, 1010, 2029, 1996, 4167, 5942, 1999, 4013, 4305, 11411, 2271, 12450, 2296, 2309, 3371, 1997, 2296, 2309, 2154, 1012, 1064, 12649, 1010, 2030, 16298, 20049, 2638, 4440, 15006, 24556, 1010, 2003, 4187, 2000, 4167, 3853, 1012, 5262, 1010, 2009, 1005, 1055, 1996, 2117, 1011, 2087, 2590, 13922, 2920, 1999, 4167, 3853, 1010, 2279, 2000, 7722, 1012, 2429, 2000, 2852, 1012, 2957, 3413, 5880, 1010, 6887, 1012, 1040, 1012, 1010, 1000, 12649, 11598, 2015, 1996, 6959, 1997, 20435, 1998, 7722, 2000, 1996, 4167, 1010, 1998, 23216, 2015, 1996, 8208, 1997, 5949, 3688, 1012, 1000, 2021, 2008, 1005, 1055, 2025, 2035, 2009, 2515, 1516, 2025, 2011, 1037, 2146, 2915, 1012, 2005, 2742, 1010, 2043, 6950, 2012, 1996, 2118, 1997, 5135, 2966, 2082, 4146, 1037, 2817, 2000, 5646, 2000, 2054, 6698, 12649, 3798, 2020, 5799, 2000, 5301, 4167, 3853, 1010, 2027, 2020, 9860, 2000, 2424, 2008, 10862, 2152, 12649, 3798, 2020, 2734, 2025, 2069, 2005, 1996, 8114, 7493, 1997, 15698, 1999, 1996, 4167, 1010, 2021, 2036, 2005, 1996, 4167, 1005, 1055, 2210, 1011, 5319, 1000, 2160, 18321, 1000, 3450, 1516, 1045, 1012, 1041, 1012, 1010, 2009, 1005, 1055, 3754, 2000, 2969, 1011, 7192, 2151, 4053, 2000, 4167, 4442, 1998, 14095, 1010, 1998, 2000, 2393, 2562, 4167, 8153, 4142, 1998, 12285, 2012, 15502, 3798, 1012, 2101, 1010, 2178, 6612, 2817, 4146, 2104, 1996, 20153, 1997, 1996, 2120, 2914, 1997, 4163, 7645, 2008, 3020, 12285, 14332, 5383, 2039, 2000, 2753, 1003, 2062, 12649, 2084, 3671, 14332, 1012, 1999, 2060, 2616, 1010, 1996, 2062, 12649, 2017, 2031, 1999, 2115, 4167, 1010, 1996, 2488, 2115, 4167, 2573, 1012, 2009, 1005, 1055, 1037, 5810, 1998, 3722, 16902, 1024, 2007, 2062, 12649, 1010, 2017, 1005, 2222, 5959, 22147, 2099, 5758, 1529, 3618, 15563, 1997, 2245, 1529, 3618, 3754, 2000, 1000, 2228, 2006, 2028, 1005, 1055, 2519, 1000, 1529, 1998, 2521, 2625, 1000, 4167, 12475, 1000, 2802, 1996, 2607, 1997, 1037, 2154, 1012, 2651, 1010, 2045, 1005, 1055, 2053, 6685, 2008, 4672, 4167, 2740, 1998, 3853, 2003, 4321, 7790, 2588, 12649, 1012, 2429, 2000, 2852, 1012, 6287, 18493, 1010, 1049, 1012, 1040, 1012, 1010, 1000, 2302, 11706, 3798, 1997, 12649, 1010, 2115, 4167, 2038, 2019, 2943, 12475, 1998, 2049, 3853, 17913, 1529, 2917, 1037, 4187, 2504, 1997, 12649, 2537, 1010, 4167, 4442, 2064, 4088, 2000, 3280, 1012, 1000, 1999, 2060, 2616, 1010, 12649, 2003, 3192, 2389, 2000, 15502, 4167, 2740, 1010, 2092, 1011, 2108, 1998, 3853, 1012, 6950, 2031, 2069, 3728, 3603, 2008, 12649, 2036, 2573, 2004, 1037, 11265, 10976, 6494, 3619, 22930, 3334, 1999, 1996, 4167, 1516, 2009, 7126, 4167, 4442, 2000, 10639, 1998, 2491, 2169, 2060, 1012, 1999, 2755, 1010, 2429, 2000, 2852, 1012, 4532, 2026, 7100, 1010, 1049, 1012, 1040, 1012, 1010, 1000, 2060, 4167, 11265, 10976, 6494, 3619, 22930, 7747, 2180, 1005, 1056, 2147, 4983, 2027, 1005, 2128, 5642, 2011, 1037, 13922, 1997, 12649, 1012, 1000, 2429, 2000, 7522, 1005, 1055, 3353, 2585, 2058, 2669, 1010, 2023, 2965, 1996, 4167, 1005, 1055, 2364, 2943, 3120, 2036, 4240, 2004, 1996, 2653, 2090, 4167, 4442, 1012, 2054, 1005, 1055, 2062, 1010, 2429, 2000, 2604, 1011, 7378, 14266, 2923, 12234, 1046, 1012, 9712, 1010, 12649, 3798, 1999, 1996, 4167, 4321, 5646, 2129, 6464, 2017, 10639, 2007, 2500, 1010, 2004, 2092, 2004, 1996, 3737, 1997, 2115, 5177, 1998, 6832, 2110, 1024, 1000, 1996, 4167, 1005, 1055, 1043, 6632, 2140, 4442, 2224, 12649, 2000, 10639, 1012, 1998, 1043, 6632, 2140, 4442, 2024, 1996, 3078, 25644, 1997, 15698, 1025, 2027, 2442, 2031, 12649, 2000, 2425, 15698, 2054, 2000, 2079, 1012, 2023, 2965, 2008, 2115, 4167, 3594, 2943, 2000, 10639, 1012, 2065, 2017, 2448, 2659, 2006, 2943, 2115, 4167, 2515, 2025, 10639, 1998, 2115, 11265, 10976, 6494, 3619, 22930, 7747, 2079, 2025, 4834, 1999, 2019, 15502, 2126, 1012, 1999, 2460, 1010, 2115, 3452, 4425, 1997, 2943, 1999, 1996, 2433, 1997, 12649, 2003, 1996, 2309, 1011, 2087, 2590, 5387, 12515, 1996, 2740, 1997, 2115, 2568, 1998, 6888, 1529, 2065, 2017, 2123, 1005, 1056, 2031, 2438, 12649, 2006, 2192, 2017, 2097, 2514, 20868, 17728, 3468, 1010, 5458, 1010, 2031, 1037, 3532, 2568, 1010, 1998, 2009, 2097, 4025, 2066, 1996, 10859, 1997, 6911, 2003, 4786, 4929, 1998, 7697, 1012, 1000, 1999, 1037, 2817, 4159, 1000, 12649, 1998, 1996, 4167, 1010, 1000, 4146, 2012, 1996, 2118, 1997, 3552, 2082, 1997, 4200, 1010, 1996, 6950, 3603, 2008, 16298, 20049, 2638, 4440, 15006, 24556, 1006, 12649, 1007, 2003, 1996, 2087, 2590, 1997, 2035, 2943, 10737, 2005, 1996, 4167, 1012, 2027, 2391, 2041, 2008, 1996, 4167, 6496, 2015, 1998, 21852, 2130, 2062, 16298, 20049, 2638, 4440, 15006, 24556, 1006, 12649, 1007, 2084, 1996, 2540, 1010, 2029, 9041, 2588, 12649, 2000, 4425, 1996, 2943, 2734, 2005, 2169, 1998, 2296, 12251, 1012, 3568, 1010, 1996, 4167, 1005, 1055, 5377, 1998, 5294, 2342, 2005, 2152, 3798, 1997, 12649, 11138, 2049, 3853, 2004, 1996, 3040, 2491, 2291, 2005, 1996, 2972, 2303, 1012, 5262, 1010, 2429, 2000, 1996, 2118, 1997, 3552, 6950, 1010, 1996, 2430, 6091, 2291, 1516, 2029, 2003, 11539, 1997, 2119, 1996, 4167, 1998, 1996, 16492, 11601, 1516, 1000, 5942, 1037, 5377, 7953, 1997, 12649, 1000, 2005, 2943, 1012, 1998, 2429, 2000, 4045, 2137, 1010, 1000, 2009, 1005, 1055, 2092, 2511, 2008, 1996, 4167, 3594, 2062, 2943, 2084, 2151, 2060, 2529, 5812, 1000, 1998, 2008, 1000, 1996, 3078, 3120, 1997, 2008, 2943, 2003, 12649, 1012, 1000, 1996, 6950, 2036, 4197, 2041, 2008, 1000, 1996, 21453, 3446, 1997, 1996, 4167, 1000, 1006, 1045, 1012, 1041, 1012, 1010, 1996, 3446, 2008, 2943, 2003, 2550, 1998, 12550, 1999, 1996, 4167, 1007, 2003, 1000, 4876, 23900, 2007, 19389, 3853, 1012, 1000, 1999, 2060, 2616, 1010, 2065, 2017, 2215, 5301, 4167, 3853, 1010, 2017, 2442, 3623, 2115, 4167, 1005, 1055, 3798, 12649, 1012, 2054, 1005, 1055, 2062, 1010, 2302, 12649, 2045, 2064, 2022, 2053, 11265, 10976, 23737, 2635, 2173, 1999, 1996, 4167, 1010, 3574, 2053, 4195, 1997, 2047, 4167, 4442, 1012, 1998, 2045, 2064, 2022, 2053, 4167, 7192, 1010, 2593, 1012, 2004, 4197, 2041, 2011, 2852, 1012, 4532, 2026, 7100, 1010, 1049, 1012, 1040, 1012, 1010, 1000, 1996, 4167, 9005, 1037, 2454, 2047, 7264, 2296, 2117, 1012, 2023, 2965, 2045, 2003, 4121, 4022, 2005, 8907, 1998, 7192, 1025, 2009, 2003, 3432, 1037, 2553, 1997, 3048, 2477, 1999, 1996, 2157, 3257, 1012, 2021, 1996, 4167, 2038, 2000, 2031, 1996, 23569, 28591, 2943, 4425, 2000, 3499, 2023, 2832, 2000, 4148, 999, 1998, 12649, 2003, 1996, 2943, 4425, 2009, 9041, 2588, 1012, 1000, 2852, 1012, 2026, 7100, 14730, 2011, 3038, 1000, 5335, 12649, 3798, 1999, 2115, 4167, 1010, 1998, 2017, 1005, 2222, 5335, 2035, 5919, 1997, 4167, 3853, 1012, 5262, 1010, 9229, 12649, 6959, 2003, 1996, 2190, 3949, 2005, 2659, 6888, 1998, 6245, 1012, 1000, 1996, 3953, 2240, 2003, 2008, 1999, 2344, 2005, 2115, 4167, 2000, 2147, 2012, 4672, 8122, 1998, 12353, 1010, 2009, 3791, 12649, 1516, 1998, 7167, 1997, 2009, 1012, 2302, 12649, 1010, 4167, 2943, 1998, 3141, 4167, 3853, 6360, 23088, 2000, 1037, 9190, 1010, 2074, 2066, 1037, 2482, 11867, 26878, 2075, 2041, 1997, 3806, 2006, 1996, 10846, 1012, 1006, 1045, 1005, 2222, 2265, 2017, 2073, 2000, 2131, 1996, 3284, 1011, 3737, 12649, 1999, 2074, 1037, 2617, 1012, 2021, 2123, 1005, 1056, 5376, 1996, 3282, 2074, 2664, 1012, 2045, 1005, 1055, 2048, 2062, 4187, 4167, 20435, 2000, 4553, 2055, 1010, 2034, 1529, 1007, 1064, 1001, 1016, 2442, 1011, 2031, 4167, 26780, 1024, 25003, 3597, 25060, 10020, 1516, 2146, 2124, 2004, 1996, 2303, 1005, 1055, 1000, 4167, 1998, 2943, 17663, 1010, 1000, 2023, 2569, 2522, 1011, 9007 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10651, 1022, 16650, 2093, 1010, 2345, 3556, 1024, 2136, 2176, 6205, 1010, 2136, 2093, 6275, 4328, 3489, 12940, 29427, 2378, 3766, 1011, 2184, 2685, 1010, 1019, 1011, 1023, 1042, 2290, 1005, 1055, 1010, 1018, 2128, 2497, 1010, 1016, 1038, 13687, 2113, 2005, 2010, 5188, 2964, 1998, 2307, 16160, 1010, 3766, 2404, 2006, 2019, 8052, 4653, 2651, 1012, 2002, 2018, 2010, 2261, 6429, 5991, 1010, 1998, 2001, 2583, 2000, 2131, 2010, 2398, 2006, 1037, 2843, 1997, 4771, 7171, 2004, 5156, 1012, 2172, 2062, 11341, 2084, 2023, 2001, 1996, 2755, 2008, 3766, 6573, 2091, 1017, 7171, 2013, 2403, 1011, 2385, 2519, 2041, 1012, 2010, 2433, 2246, 1037, 2210, 13218, 10115, 1011, 2003, 2232, 1010, 2021, 2027, 3333, 2046, 1996, 27669, 6669, 1012, 2045, 2020, 2060, 2335, 2073, 2002, 2363, 1996, 3608, 2007, 2010, 2067, 2000, 1996, 10810, 1998, 2001, 4039, 2000, 2079, 2505, 1010, 1998, 2002, 5998, 2000, 3288, 2091, 11049, 2044, 2893, 2010, 2398, 2006, 1996, 3608, 1012, 2065, 3766, 9020, 2000, 9625, 2039, 1010, 1998, 4247, 2000, 4503, 2752, 1997, 2010, 2208, 2008, 2123, 2102, 11160, 2006, 2010, 2307, 16160, 1010, 2059, 2002, 2071, 6293, 2105, 1037, 2096, 1999, 1996, 6452, 1012, 5125, 3145, 6820, 1011, 1019, 2685, 1010, 1015, 1011, 1016, 1042, 2290, 1005, 1055, 1010, 1016, 2128, 2497, 1010, 1017, 2358, 2140, 1010, 1017, 2000, 3145, 6820, 14882, 1037, 2204, 2303, 2007, 2282, 2000, 5587, 6740, 2000, 2010, 4853, 1010, 1998, 2002, 2003, 3492, 5188, 1012, 2002, 2064, 2718, 3054, 1011, 2846, 14523, 12326, 2015, 3492, 2092, 2205, 1010, 1998, 2002, 2038, 2307, 2433, 2006, 2010, 21097, 2013, 2321, 2519, 1012, 6854, 1010, 2002, 3248, 2041, 1997, 2491, 1012, 2006, 1037, 2261, 13689, 2651, 1010, 3145, 6820, 2071, 2031, 2908, 2157, 2000, 1996, 27669, 1010, 2021, 5454, 2000, 3046, 1998, 2191, 11281, 5829, 1012, 2023, 2419, 2000, 1037, 2193, 1997, 20991, 2015, 2802, 1996, 2208, 1012, 2002, 2003, 3492, 10571, 1010, 1998, 2002, 2038, 1037, 14161, 8684, 2005, 2893, 2000, 1996, 2489, 5466, 2240, 1010, 2021, 2009, 2052, 2202, 1037, 6565, 7620, 1999, 2010, 3455, 26264, 2005, 2032, 2000, 5621, 2468, 2019, 6452, 2447, 1012, 3145, 6820, 2036, 12386, 3579, 2006, 1996, 5600, 2203, 1010, 1998, 5363, 2000, 3288, 1996, 3608, 2039, 2004, 1037, 2391, 3457, 2205, 2411, 1012, 2738, 2084, 2693, 2125, 1996, 3608, 1010, 3145, 6820, 2074, 24885, 2105, 1998, 4740, 2000, 2131, 2010, 13220, 2000, 3413, 1996, 3608, 1012, 2002, 2038, 1037, 2843, 1997, 21407, 1999, 2010, 2208, 1010, 2021, 1037, 2261, 5906, 2000, 2147, 2007, 2323, 2002, 2412, 5630, 2000, 2377, 2066, 1037, 2613, 3455, 2447, 1012, 5655, 15231, 2545, 7606, 2696, 7011, 21146, 18569, 2410, 2685, 1010, 1019, 1011, 2340, 1042, 2290, 1005, 1055, 1010, 1017, 2128, 2497, 1010, 1019, 2004, 2102, 1010, 1018, 2358, 2140, 1010, 1017, 2000, 2009, 3849, 2008, 2391, 4932, 2411, 2031, 1996, 2190, 3382, 2000, 2191, 1037, 2171, 2005, 3209, 2012, 2023, 2823, 3265, 1011, 6817, 3409, 1010, 2138, 2027, 2203, 2039, 2007, 1996, 3608, 1999, 2037, 2398, 1012, 21146, 18569, 2165, 2023, 2000, 2540, 1010, 2583, 2000, 3294, 2491, 1996, 3608, 2004, 1996, 2069, 2447, 2007, 2391, 3457, 3754, 1999, 2010, 9963, 1012, 2009, 2442, 2022, 2056, 2008, 21146, 18569, 2003, 2028, 1997, 1996, 2488, 1006, 2065, 2025, 1996, 2190, 1007, 8258, 5921, 1996, 2391, 4932, 2012, 1996, 3409, 1012, 2002, 2003, 2119, 2844, 1998, 11355, 1010, 1998, 2736, 2195, 9297, 3495, 2046, 10078, 2502, 2273, 1012, 6854, 1010, 2005, 2296, 8052, 2617, 1010, 2045, 2020, 2048, 2073, 2002, 3294, 3140, 1996, 2895, 1012, 21146, 18569, 2058, 13626, 12322, 23242, 2051, 1998, 2051, 2153, 1010, 1998, 2790, 4180, 2000, 2202, 1996, 3608, 2000, 1996, 10810, 2114, 3674, 12534, 2007, 2210, 7634, 2005, 2151, 9280, 2330, 13220, 1012, 2023, 3213, 2626, 2091, 1996, 2773, 3140, 2126, 2205, 2116, 2335, 2058, 1996, 2607, 1997, 1996, 2208, 1012, 2025, 10889, 1010, 1996, 10048, 2358, 8490, 23854, 7188, 2002, 2001, 1999, 1996, 2208, 1012, 1996, 2433, 2006, 2010, 2915, 2003, 2145, 2521, 2013, 7812, 1010, 2021, 2002, 2001, 2583, 2000, 2718, 2028, 2648, 21097, 1999, 1996, 2117, 2431, 1012, 21146, 18569, 2001, 2488, 5600, 2135, 1010, 4760, 4248, 4668, 2051, 1998, 6932, 1037, 2261, 20991, 2015, 1012, 19683, 21146, 18569, 4415, 2038, 1996, 3558, 12332, 2000, 9510, 2012, 2023, 3409, 1010, 2021, 2052, 2022, 6047, 2000, 2128, 1011, 16157, 2129, 2172, 1997, 1996, 17763, 2002, 4740, 2000, 2202, 2005, 2370, 2058, 1996, 2607, 1997, 1996, 2733, 1012, 3533, 29461, 4904, 19856, 2278, 3501, 7908, 1018, 2685, 1010, 1016, 1011, 1019, 1042, 2290, 1005, 1055, 1010, 1020, 2004, 2102, 1010, 1017, 2000, 7908, 2628, 2039, 2006, 2010, 8052, 8040, 20026, 26860, 7483, 2007, 1037, 2200, 5024, 2208, 2651, 1010, 2770, 2010, 2136, 1005, 1055, 10048, 2092, 1998, 9841, 2075, 2041, 1037, 10228, 1997, 8456, 1998, 3835, 5235, 2725, 2061, 1012, 7908, 1005, 1055, 2457, 4432, 2001, 2006, 2440, 4653, 2119, 2006, 1996, 3338, 1998, 1999, 1996, 2431, 13421, 1010, 2004, 2002, 4711, 1037, 19857, 12244, 1997, 8456, 1999, 1037, 3528, 1997, 3971, 1010, 2164, 2006, 3298, 1011, 1998, 1011, 10447, 1010, 2242, 2010, 2208, 2038, 10858, 1999, 1996, 2627, 1012, 7908, 2109, 2070, 8052, 3608, 1011, 8304, 2651, 1010, 2478, 6714, 5829, 1998, 1037, 2659, 2852, 12322, 3468, 2000, 2131, 2627, 2010, 2158, 1998, 2046, 2597, 2000, 3443, 2005, 2370, 2030, 2010, 13220, 1012, 2002, 2134, 1005, 1056, 3443, 2005, 2370, 2172, 2182, 2651, 1010, 1998, 3478, 2006, 1996, 2261, 4740, 2012, 14257, 2545, 2002, 2018, 1012, 2002, 2106, 2718, 2028, 2146, 2048, 20884, 1010, 2006, 2029, 2002, 8176, 2010, 3861, 3819, 5008, 6909, 1012, 5600, 2135, 1010, 7908, 2209, 2307, 2158, 1011, 2000, 1011, 2158, 3639, 2006, 2010, 7116, 1010, 14926, 28340, 1010, 2043, 2002, 2018, 1996, 3608, 1010, 2021, 2411, 2435, 2032, 2205, 2172, 2686, 2302, 1996, 3608, 1010, 2877, 2000, 1996, 2417, 2980, 28340, 7294, 1037, 9129, 1997, 3962, 1011, 2039, 2093, 20884, 2015, 1012, 4998, 2013, 13423, 2010, 2158, 2302, 1996, 3608, 1010, 2295, 1010, 7908, 2106, 1037, 2204, 3105, 2006, 1996, 5600, 2203, 1997, 1996, 2457, 1010, 2196, 5599, 2010, 2158, 2131, 2627, 2032, 2043, 10349, 2028, 1011, 2006, 1011, 2028, 1998, 7887, 2652, 2039, 2006, 2032, 1012, 7908, 1998, 2010, 2136, 2106, 2031, 3471, 7149, 2007, 12117, 1010, 2295, 1010, 2004, 2002, 2411, 2288, 3236, 2667, 2000, 2175, 2083, 2068, 2096, 2010, 13220, 2134, 2102, 3357, 2041, 2000, 17834, 1996, 4130, 1997, 2010, 7116, 1010, 5599, 2032, 2131, 2046, 1996, 4644, 2012, 2335, 1012, 9195, 2358, 7076, 2239, 1011, 1020, 19637, 1010, 1017, 1011, 1023, 1042, 2290, 1005, 1055, 1010, 1016, 2128, 2497, 1010, 1020, 2004, 2102, 1010, 1017, 2000, 2358, 7076, 2239, 2134, 1005, 1056, 2031, 1037, 2200, 2204, 2208, 1010, 4760, 2070, 1997, 1996, 4297, 5644, 27870, 9407, 1998, 3247, 1011, 2437, 3471, 2008, 2031, 17808, 2010, 2208, 2012, 5947, 2110, 1012, 2002, 2209, 1996, 3484, 1997, 2010, 2781, 2125, 1996, 3608, 1010, 2021, 2002, 2145, 3266, 2000, 2486, 1037, 2843, 1997, 7171, 1998, 5235, 1010, 2116, 1997, 2029, 4504, 1999, 20991, 2015, 1012, 1996, 2433, 2006, 2010, 2648, 2915, 2003, 2145, 2200, 15311, 1010, 1998, 2009, 3662, 2182, 2073, 2002, 2347, 1005, 1056, 2583, 2000, 10463, 2151, 2146, 1011, 2846, 4740, 1012, 2006, 1996, 3893, 2217, 1010, 2358, 7076, 2239, 2288, 2000, 1996, 4920, 7199, 2092, 1010, 2437, 1037, 2261, 3913, 1011, 11139, 1010, 1998, 2036, 2081, 2070, 3835, 5235, 1999, 1037, 3528, 1997, 3971, 1012, 2002, 4206, 6340, 2010, 8456, 2011, 2478, 3298, 1011, 1998, 1011, 10447, 1010, 4060, 1011, 1998, 1011, 9372, 1010, 4458, 3805, 2006, 1996, 3338, 1010, 4531, 1037, 10809, 2005, 1996, 2330, 2093, 1011, 20884, 1010, 1998, 2006, 2028, 6686, 1010, 6886, 1037, 6669, 22313, 8975, 1011, 1051, 7361, 2013, 2369, 1996, 2093, 1011, 2391, 2240, 1012, 5600, 2135, 1010, 2648, 1996, 25722, 1997, 5947, 2163, 5377, 2224, 1997, 1037, 4224, 1010, 2358, 7076, 2239, 6915, 1037, 2978, 1010, 5599, 2010, 2158, 2011, 2032, 2006, 1037, 2261, 6642, 1012, 2097, 1038, 13837, 7432, 1011, 1021, 2685, 1010, 1017, 1011, 1021, 1042, 2290, 1005, 1055, 1010, 1015, 2004, 2102, 1010, 1017, 2358, 2140, 1010, 1020, 2000, 1005, 1055, 1038, 13837, 7432, 2134, 2102, 2031, 1996, 2190, 1997, 2399, 1010, 2108, 7199, 27427, 8586, 17417, 3726, 2007, 1996, 3608, 1010, 16873, 3674, 20991, 2015, 1010, 1998, 2025, 2108, 2583, 2000, 3556, 2013, 2146, 1011, 2846, 1012, 2010, 2416, 20991, 2015, 2234, 2013, 2119, 4458, 1998, 2852, 12322, 9709, 1010, 2295, 2002, 2001, 2025, 2004, 2041, 1997, 2491, 2004, 2008, 2193, 2052, 6592, 1012, 2002, 2087, 3497, 2018, 2019, 2125, 1011, 2208, 2770, 1996, 2391, 1010, 2004, 2002, 2015, 2788, 1037, 2172, 2062, 22303, 2723, 2236, 1012, 1038, 13837, 7432, 2106, 2031, 2070, 3893, 2015, 2651, 1010, 1996, 2087, 3862, 1997, 2029, 2001, 2010, 3639, 1010, 2029, 2001, 21688, 2114, 7116, 2442, 11905, 21146, 18569, 1012, 2002, 2109, 2010, 5151, 3091, 1998, 11703, 22048, 2135, 2844, 4853, 2092, 2000, 2562, 21146, 18569, 1999, 2392, 1997, 2032, 1998, 4703, 26202, 1996, 3608, 2185, 1010, 2004, 21328, 2011, 2010, 2093, 15539, 2006, 1996, 2208, 1012, 1038, 13837, 7432, 2036, 2246, 2204, 7866, 1996, 10810, 1010, 2004, 2043, 2725, 2061, 2002, 14882, 6581, 2303, 2491, 1998, 6678, 1010, 2000, 2175, 2247, 2007, 1037, 2204, 3066, 1997, 14842, 1998, 3754, 2000, 3926, 2012, 1996, 11418, 1012, 2002, 10426, 2000, 12534, 1999, 1996, 4644, 2092, 1999, 2023, 2208, 1012, 4388, 17889, 4590, 2854, 28340, 2385, 2685, 1010, 1020, 1011, 2340, 1042, 2290, 1005, 1055, 1010, 1018, 1011, 1020, 1017, 1011, 13866, 1010, 1018, 2128, 2497, 1010, 1016, 2004, 2102, 1010, 1015, 2000, 28340, 2246, 5024, 1999, 2010, 2834, 2208, 1012, 28340, 2003, 2006, 1037, 2136, 2007, 2210, 4592, 2490, 1010, 2021, 3266, 2000, 2131, 2330, 2005, 1037, 3232, 8085, 1017, 2015, 1012, 28340, 2288, 2046, 1996, 4644, 11519, 2135, 2043, 2006, 1011, 3608, 1998, 2018, 1037, 3232, 1997, 9152, 6199, 2100, 14257, 2545, 2004, 2092, 2004, 2070, 4629, 5235, 2008, 4694, 2102, 4991, 2011, 2010, 13220, 1012, 28340, 2506, 2000, 2265, 2204, 2457, 7073, 1998, 4105, 3754, 2076, 2010, 2117, 2431, 2377, 1012, 28340, 2109, 1996, 5081, 1997, 2010, 1017, 2391, 2915, 2000, 2131, 2046, 1996, 4644, 1010, 2073, 2002, 6913, 2010, 2104, 9250, 4432, 2000, 2424, 3962, 2039, 28310, 1998, 16343, 2015, 1012, 6854, 1010, 3904, 1997, 28340, 2015, 13220, 2020, 5131, 1996, 3248, 2002, 2275, 2068, 2039, 2005, 2061, 2010, 6509, 21948, 2020, 2025, 24668, 1997, 2010, 2377, 1012, 28340, 6913, 2070, 13554, 3608, 1011, 8304, 1998, 2689, 1997, 3257, 2000, 2489, 2370, 2039, 2005, 2070, 9152, 6199, 2100, 2915, 4740, 2183, 2646, 1996, 10810, 2004, 2092, 1012, 1039, 3501, 7908, 7908, 2001, 5024, 1999, 6653, 1998, 3856, 2039, 2070, 3835, 8456, 2043, 2183, 2646, 1996, 10810, 1012, 2010, 3962, 2039, 2915, 2001, 5024, 2004, 5156, 1998, 2002, 2018, 1037, 3835, 8954, 1999, 6653, 2005, 1037, 2507, 1011, 1998, 1011, 2175, 2008, 2002, 2736, 4550, 2135, 2007, 2010, 2187, 2192, 1012, 8226, 10131, 2386, 1011, 1020, 19637, 1010, 1017, 1011, 1022, 1042, 2290, 1005, 1055, 1010, 1022, 2128, 2497, 1010, 1015, 1038, 13687, 10131, 2386, 19787, 1037, 2978, 2104, 1996, 3221, 1998, 2404, 2370, 2006, 1996, 2723, 1037, 3232, 1997, 2335, 1012, 10131, 2386, 4771, 1017, 3962, 1011, 2039, 13443, 7171, 1010, 2200, 4895, 7507, 22648, 3334, 6553, 1997, 2010, 5156, 2377, 1012, 1996, 2117, 2431, 2001, 2488, 2084, 1996, 2034, 2005, 10131, 2386, 1012, 2002, 4061, 2005, 2070, 7823, 11049, 1998, 8534, 1037, 2508, 14060, 24654, 2243, 3535, 2004, 2092, 2004, 2635, 1037, 2524, 3715, 2000, 2010, 3054, 29015, 1012, 5655, 21025, 17789, 27268, 18697, 2078, 3044, 2184, 2685, 1010, 1017, 1011, 1022, 1042, 2290, 1005, 1055, 1010, 1016, 2128, 2497, 3044, 2234, 2041, 2007, 1996, 2828, 1997, 9376, 2791, 2017, 2293, 2000, 2156, 2013, 1037, 2447, 1999, 2023, 3409, 1012, 2002, 2165, 2093, 7171, 1999, 1996, 2034, 3371, 7426, 3823, 1997, 1996, 2208, 1010, 2021, 2013, 2008, 2391, 2292, 1996, 2208, 2272, 2000, 2032, 1998, 2179, 2010, 3504, 2083, 1996, 6123, 1997, 1996, 10048, 1012, 2002, 8971, 1996, 3608, 2062, 2084, 2057, 2020, 17730, 2000, 2012, 2474, 18005, 1010, 1998, 2106, 2025, 2298, 2431, 2919, 2725, 2061, 1025, 2635, 1996, 3608, 2200, 2844, 2000, 1996, 10810, 1998, 2893, 2000, 1996, 2489, 5466, 2240, 1012, 2002, 2036, 2766, 2039, 2200, 15299, 2125, 1996, 2852, 12322, 3468, 2013, 3054, 1011, 2846, 1037, 2261, 2335, 1998, 6573, 2091, 2010, 3504, 1012, 2035, 1999, 2035, 2023, 2001, 1037, 2200, 5024, 4760, 2005, 7112, 3044, 1012, 2508, 14060, 2340, 2685, 1010, 1019, 1011, 1022 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2047, 2927, 2005, 2637, 1998, 2885, 3103, 2026, 5575, 4231, 2281, 2340, 1010, 2289, 2332, 3871, 1010, 7359, 14571, 1997, 12997, 5243, 3401, 9189, 1516, 4074, 9413, 22231, 2615, 2023, 2003, 1996, 2154, 1997, 2047, 2927, 2005, 2637, 1998, 2885, 1012, 4826, 1045, 2097, 2175, 2000, 2712, 1998, 1996, 2154, 2044, 4826, 2000, 4020, 1012, 2023, 2171, 12849, 2532, 2003, 4072, 1012, 12849, 2532, 2003, 1996, 2197, 3028, 1997, 1996, 11293, 1012, 2009, 2003, 2182, 2073, 1045, 10116, 1996, 15741, 3690, 1997, 2643, 1521, 1055, 10585, 1997, 1996, 3534, 11418, 1012, 1045, 2081, 2023, 16413, 2296, 3204, 2013, 2233, 2083, 2255, 1012, 1045, 2253, 2083, 3438, 2420, 1012, 3521, 7696, 1023, 1998, 2184, 3696, 8757, 2893, 9436, 1997, 1996, 13321, 9702, 2011, 1996, 2991, 1997, 4205, 1998, 6574, 1012, 7619, 4424, 9615, 2003, 2012, 1996, 2415, 1997, 2643, 1521, 1055, 4325, 1012, 2155, 1998, 2983, 2241, 2006, 1996, 7619, 4424, 9615, 2003, 1996, 2944, 2005, 2643, 1521, 1055, 7812, 1997, 3521, 1012, 2995, 3008, 2031, 5854, 4205, 1998, 3651, 1996, 2548, 2373, 1997, 6014, 1998, 3011, 1012, 2009, 3685, 2011, 2589, 2011, 1996, 4850, 2594, 2088, 1012, 3521, 4471, 2340, 2001, 2445, 2005, 20986, 2005, 3521, 1012, 2044, 4205, 1998, 2130, 3825, 27427, 6633, 22758, 2006, 1037, 3795, 2504, 1010, 1996, 4850, 2594, 2088, 2036, 2363, 2019, 4495, 2000, 4374, 1996, 13301, 1998, 2022, 19553, 1012, 2023, 2003, 1996, 3574, 1997, 3521, 4471, 2260, 1012, 1045, 2342, 2000, 3413, 2023, 4130, 1012, 2070, 2360, 2008, 2009, 2052, 2022, 2204, 2065, 1045, 2106, 2023, 2030, 2008, 1012, 1045, 1521, 1049, 13729, 2035, 3471, 2008, 2089, 3711, 2006, 2388, 1521, 1055, 4130, 1012, 2006, 2233, 5550, 1045, 10116, 1996, 15741, 3690, 1997, 2643, 1521, 1055, 10585, 1997, 1996, 3534, 11418, 1012, 2062, 2084, 19540, 2692, 2111, 2657, 2023, 16413, 1012, 2023, 2095, 2057, 2024, 2183, 2000, 3413, 1996, 2504, 1997, 4205, 1521, 1055, 2155, 1998, 1996, 4850, 2594, 2088, 2415, 2075, 2006, 19540, 6062, 1012, 2008, 1521, 1055, 2035, 2381, 1012, 2057, 2342, 2000, 4863, 2000, 2111, 1996, 3521, 22481, 1010, 2256, 4252, 1012, 3251, 2027, 2903, 2030, 2025, 2003, 2025, 2256, 3291, 1012, 2008, 1521, 1055, 1996, 2203, 1997, 2009, 1012, 2643, 2097, 2707, 2551, 1996, 2126, 2002, 4122, 2013, 1996, 2279, 2095, 1012, 3225, 2013, 2254, 2111, 2013, 1996, 4759, 1998, 2887, 3323, 2015, 2040, 2363, 2256, 2495, 2097, 2031, 2000, 6570, 4841, 1012, 2057, 2342, 2000, 3143, 2495, 1997, 1996, 3915, 1998, 1996, 4895, 1012, 2065, 2825, 2057, 2342, 2000, 2079, 2009, 2011, 2026, 5798, 2030, 2011, 2258, 1012, 2085, 2057, 1521, 2128, 5738, 1996, 2047, 2287, 1012, 2017, 2134, 1521, 1056, 2113, 2023, 1010, 2021, 2057, 2275, 2039, 2035, 3785, 4072, 2005, 2008, 1012, 6343, 2064, 5468, 2023, 19633, 2088, 1012, 2057, 2323, 3328, 1996, 2126, 6014, 12011, 2149, 1012, 2017, 2442, 15908, 2105, 2995, 3008, 1999, 1996, 4850, 2594, 8391, 1012, 2017, 2018, 28185, 1521, 1055, 2668, 1999, 2115, 9607, 1010, 2021, 2044, 4909, 1996, 13301, 1010, 2017, 2150, 2066, 10190, 2336, 1997, 4205, 1998, 6574, 1012, 2085, 2057, 2342, 2000, 2191, 2008, 16413, 1012, 6867, 1998, 11822, 2097, 10436, 1012, 2057, 2024, 5738, 1996, 3690, 1997, 1996, 7619, 2375, 1010, 2043, 2111, 2191, 2643, 2037, 2415, 1010, 1998, 2444, 1999, 8499, 1998, 5270, 2007, 2995, 3008, 2302, 2151, 27427, 6633, 22758, 1012, 2035, 4205, 1521, 1055, 12051, 2020, 13371, 1012, 2643, 2003, 1996, 7619, 2415, 1010, 2061, 11822, 1998, 6867, 2442, 10436, 1012, 2023, 2003, 2183, 2000, 2022, 1037, 2047, 2927, 1012, 2057, 2342, 2000, 3143, 2023, 2147, 2011, 2254, 2410, 1010, 2286, 1998, 3749, 2673, 2000, 2643, 1012, 2043, 2673, 2097, 2022, 2104, 2643, 1521, 1055, 13738, 1010, 2013, 2254, 2410, 1996, 2047, 2088, 1010, 1996, 2047, 2051, 2097, 2272, 1012, 2673, 2323, 2674, 15973, 6481, 1012, 1045, 2736, 4471, 2184, 2012, 1018, 1024, 4008, 1012, 2053, 3043, 2129, 2502, 6014, 2003, 1998, 2129, 2235, 27427, 6633, 22758, 3785, 2024, 1010, 2027, 2442, 4562, 14062, 1012, 4008, 2781, 5050, 4850, 2594, 1998, 29520, 8484, 1010, 8484, 1997, 11557, 1998, 2583, 1012, 2673, 4515, 2007, 2193, 4008, 1012, 1045, 1521, 1049, 4129, 2122, 2477, 2000, 2116, 2111, 1010, 2061, 2017, 2031, 2000, 2501, 2068, 1012, 2079, 2017, 3305, 1029, 2106, 2017, 6204, 1996, 13301, 5103, 1029, 9283, 1996, 13301, 5103, 7919, 2003, 3697, 1012, 2057, 2342, 2000, 2175, 2083, 1037, 3056, 2607, 1012, 4952, 2000, 4471, 1023, 2153, 1012, 2009, 21009, 1996, 27427, 6633, 22758, 4650, 2005, 4471, 2184, 1012, 3521, 7696, 1021, 1010, 1022, 1010, 1998, 1023, 17254, 2000, 5535, 1997, 2214, 1010, 2047, 1998, 2949, 9025, 8857, 2006, 7619, 4424, 9615, 1012, 2054, 1521, 1055, 1996, 2516, 1997, 6049, 4471, 1029, 1996, 2155, 15685, 1999, 7619, 4424, 9615, 1010, 2029, 2003, 1996, 2944, 1997, 2643, 1521, 1055, 7619, 2791, 1010, 3521, 1998, 7812, 1010, 1998, 1996, 3795, 2983, 1012, 2009, 3397, 2673, 1012, 2637, 2442, 25276, 2000, 1517, 7619, 4424, 9615, 1012, 2057, 2342, 2000, 3413, 1037, 1021, 1011, 2095, 2558, 1012, 2057, 2342, 2000, 2175, 2083, 1021, 2086, 2127, 2286, 1012, 1999, 2263, 1020, 2086, 2097, 2022, 2187, 2127, 2286, 1012, 2057, 2342, 2000, 27427, 6633, 3490, 12031, 2193, 1020, 1997, 1996, 16795, 2594, 2088, 1012, 2061, 2521, 1045, 2018, 2000, 9239, 2673, 2008, 2643, 2481, 1521, 1056, 6162, 1012, 1045, 2106, 2035, 7957, 1997, 2477, 1012, 2130, 2426, 10190, 2945, 2045, 2024, 2035, 11901, 1997, 2111, 1010, 2130, 2280, 13009, 1012, 2021, 2085, 2027, 3685, 16083, 1012, 2027, 2031, 2000, 3582, 2033, 1012, 2995, 3008, 2018, 2363, 13301, 1998, 2979, 2009, 2091, 2000, 3963, 2454, 24651, 2164, 2216, 1999, 1996, 4759, 18239, 1012, 2008, 1521, 1055, 3421, 2011, 1996, 4471, 1018, 1012, 2009, 2965, 2008, 2037, 6534, 2003, 2085, 3659, 2035, 2058, 1996, 2088, 1012, 2035, 6946, 2439, 2983, 1997, 6014, 1012, 10190, 2945, 2363, 1996, 13301, 2013, 2033, 1010, 2021, 2085, 2037, 2336, 2442, 2468, 2028, 2007, 2643, 1010, 1996, 7471, 6687, 1012, 2008, 1521, 1055, 1037, 14388, 3606, 1012, 2061, 2017, 2442, 2022, 2092, 7893, 2094, 1999, 2009, 1012, 2017, 2036, 2657, 7696, 2013, 1996, 4382, 2088, 1010, 2134, 1521, 1056, 2017, 1029, 2083, 4759, 3842, 2057, 2342, 2000, 14908, 1037, 2548, 4186, 2241, 2006, 3616, 1021, 1010, 1022, 1010, 1023, 1998, 1018, 1012, 2057, 4146, 2256, 12773, 5103, 1999, 18178, 2239, 15333, 5063, 3521, 4186, 2006, 2238, 6122, 1012, 4471, 1020, 2001, 2445, 2012, 1996, 3192, 1997, 2256, 2194, 2029, 2003, 7197, 2011, 9033, 21815, 5874, 1012, 2009, 2001, 24057, 2061, 2524, 2012, 1996, 2051, 1997, 1996, 23222, 5103, 1010, 6600, 2057, 2081, 1037, 2047, 2927, 1998, 2234, 2035, 1996, 2126, 2039, 2182, 1012, 2085, 2057, 1521, 2310, 2525, 2949, 1996, 2810, 1997, 1996, 2034, 2754, 1997, 2008, 13395, 3919, 3375, 1010, 2157, 1029, 1045, 2081, 1037, 16413, 1999, 7359, 1012, 2059, 1045, 2253, 2000, 20248, 23041, 1011, 2079, 2479, 1998, 2949, 3521, 4471, 2184, 1010, 2106, 1045, 2025, 1029, 2006, 3983, 1010, 13816, 1998, 15538, 1045, 2511, 2035, 3785, 2012, 2712, 1012, 2044, 4292, 3785, 2005, 6014, 1998, 3011, 1045, 24356, 14210, 2692, 2308, 1998, 8807, 4177, 1012, 1045, 2218, 1037, 8320, 2006, 1996, 13293, 1012, 16905, 5130, 2013, 2753, 3741, 2323, 2191, 1037, 4650, 2005, 1996, 6418, 1997, 1996, 2167, 4420, 1012, 2167, 4420, 1998, 2060, 3032, 2089, 3432, 10436, 3554, 2007, 2028, 2178, 1012, 2065, 2027, 2123, 1521, 1056, 3582, 2033, 1010, 2027, 2074, 2954, 5921, 3209, 1998, 7859, 1012, 2637, 2003, 1999, 1996, 2087, 3697, 2597, 1012, 16795, 2165, 3590, 2137, 2163, 1012, 1018, 2335, 1022, 19635, 3590, 1012, 3590, 2163, 2024, 6195, 3423, 6026, 15667, 12743, 1012, 2023, 2001, 2525, 24928, 1012, 2065, 2343, 5747, 3727, 2155, 1010, 2637, 2097, 2022, 1999, 1996, 2087, 3697, 2597, 1012, 2637, 2003, 1037, 3074, 1997, 2536, 2111, 2040, 2020, 10016, 2013, 2885, 1012, 2009, 1521, 1055, 1999, 8488, 1012, 1045, 2442, 2644, 2009, 2011, 2151, 2965, 1012, 1045, 2435, 4841, 1017, 3785, 2008, 2027, 2442, 2562, 1012, 2023, 2051, 2045, 1521, 1055, 2183, 2000, 2022, 1037, 17524, 2724, 1999, 1037, 3075, 1999, 3731, 2073, 15972, 1011, 1044, 7447, 6448, 4817, 1010, 11947, 1011, 4231, 18414, 1998, 21108, 1011, 9743, 2020, 4778, 1012, 2763, 2027, 2097, 2022, 1996, 2069, 11481, 2015, 2045, 1012, 2027, 2024, 2183, 2000, 2556, 2023, 2338, 2045, 1012, 2023, 3842, 1998, 1996, 4895, 2342, 3257, 1012, 2023, 2003, 1996, 2051, 2000, 2507, 2068, 1996, 3257, 1012, 25580, 1997, 1017, 8213, 1999, 3008, 1521, 2155, 2275, 2039, 1037, 4650, 1012, 3521, 4471, 1018, 9704, 2008, 1996, 13301, 2003, 3143, 2241, 2006, 1996, 4650, 4201, 2041, 2011, 2995, 3008, 1521, 2155, 1012, 1996, 13301, 2001, 2445, 2000, 11557, 1012, 2021, 2009, 2001, 2025, 2589, 6246, 1012, 1045, 2357, 2673, 14961, 2091, 1012, 2062, 2084, 2871, 2454, 2111, 2040, 2253, 6917, 2081, 1996, 4650, 1010, 2061, 1996, 13301, 2001, 2445, 1012, 2008, 1521, 1055, 2339, 1045, 2218, 1996, 12773, 5103, 2006, 2238, 6122, 1012, 1045, 1521, 1049, 2437, 1037, 2047, 2927, 2138, 1045, 2511, 2035, 3785, 1012, 2127, 2085, 1045, 2031, 2979, 2023, 2607, 1012, 2057, 2442, 3926, 2673, 1999, 2023, 2095, 1012, 2134, 1521, 1056, 1045, 2360, 2008, 2035, 2026, 17571, 1999, 2255, 2020, 3214, 2000, 9239, 2193, 2184, 1029, 3616, 2127, 1023, 2024, 13048, 1010, 2021, 3616, 2013, 2184, 1998, 2006, 8676, 1997, 2195, 16648, 2029, 2024, 13637, 2000, 2169, 2060, 1012, 2008, 1521, 1055, 2339, 2009, 27353, 3431, 1999, 1996, 4850, 2594, 2088, 1012, 1996, 2264, 1998, 2225, 2024, 2275, 1999, 7901, 2344, 1010, 2061, 2193, 2184, 27353, 4292, 2068, 3442, 1012, 13301, 9611, 2015, 1996, 3291, 1997, 3975, 2090, 2158, 1998, 2450, 1012, 2085, 1996, 6656, 2003, 4379, 2000, 2507, 13301, 2130, 2000, 1996, 16795, 2594, 2088, 1012, 2111, 1999, 3109, 1998, 2130, 16795, 2064, 2022, 10190, 1012, 2111, 2342, 2000, 5463, 1996, 3008, 2040, 2507, 2068, 1996, 13301, 2007, 7619, 4752, 1010, 2293, 1998, 22645, 1012, 1996, 3842, 1998, 16795, 2594, 2088, 2024, 2028, 1012, 1996, 11557, 3842, 1998, 16795, 2024, 2142, 1010, 1998, 2407, 2090, 1996, 2269, 1998, 2365, 1997, 1996, 16768, 2088, 2003, 9462, 1012, 2008, 1521, 1055, 2339, 10748, 1010, 5052, 1996, 16795, 2594, 2088, 2064, 4374, 1996, 13301, 1998, 5463, 2643, 1012, 3412, 1998, 2576, 18814, 1010, 16768, 4895, 1998, 11557, 4895, 2442, 15908, 2415, 2075, 2006, 2995, 3008, 2947, 7065, 2545, 2075, 1996, 2755, 2008, 4331, 2411, 6778, 3550, 4676, 1012, 3521, 4471, 2184, 27353, 15401, 1997, 4205, 1521, 1055, 2155, 1010, 2995, 3008, 1521, 15401, 1012, 2320, 2057, 2175, 2058, 3056, 5526, 1010, 4676, 1998, 4331, 2097, 10436, 1012, 1999, 1996, 3871, 1997, 10267, 2045, 2001, 4445, 4676, 4496, 4331, 1012, 1996, 2381, 2318, 2007, 2668, 14740, 1012, 2057, 2342, 2000, 9378, 2009, 2007, 4000, 1997, 15531, 1012, 2065, 2111, 2123, 1521, 1056, 8328, 4000, 2005, 2035, 6114, 2027, 3303, 2643, 1998, 2995, 3008, 1998, 2123, 1521, 1056, 3857, 2037, 2219, 3192, 1010, 2027, 2180, 1521, 1056, 2022, 19553, 1012, 2130, 1996, 16905, 2277, 2442, 3328, 2023, 2126, 1012, 3521, 7696, 2024, 1996, 3521, 6331, 1012, 1996, 3017, 6331, 2003, 4011, 2000, 3288, 12611, 1010, 2021, 2045, 2024, 2116, 4297, 25377, 2890, 10222, 19307, 2477, 1012, 2061, 1045, 13332, 2068, 2035, 1012, 2007, 7619, 4752, 1010, 2293, 1998, 22645, 1045, 4810, 2673, 2000, 3857, 2643, 1521, 1055, 2155, 1012, 2061, 1010, 2069, 2043, 2017, 2064, 3362, 1996, 3115, 1997, 7619, 4752, 1010, 7619, 2293, 1998, 7619, 22645, 1010, 15908, 4382, 1998, 2303, 1998, 2468, 4505, 1997, 2643, 1998, 2995, 3008, 1010, 2064, 2643, 1521, 1055, 2983, 2006, 3011, 1998, 1999, 6014, 2022, 19553, 1998, 3294, 2489, 1012, 2059, 2009, 2064, 2022, 2949, 1012, 19128, 2226, 1012, 2673, 12321, 2007, 4277, 1998, 25814, 1012, 2130, 2111, 2040, 2123, 1521, 1056, 2113, 2505, 2097, 2203, 2039, 2108, 2104, 1996, 13738, 1997, 1996, 2375, 1012, 4205, 1998, 6574, 2020, 2062, 21591, 2084, 10190, 2945, 1010, 2061, 2027, 3062, 2043, 2027, 2020, 2105, 2385, 2086, 1997, 2287, 1998, 2439, 2643, 1998, 2010, 2983, 1012, 2085, 2017, 2113, 2673, 2005, 1996, 2034, 2051, 1012, 1999, 1021, 2086, 2017, 1521, 2128, 4011, 2000, 3328, 2026, 2607, 1012, 2057, 2031, 1021, 2086, 3588, 2127, 2286, 1012, 2017, 2031, 2000, 3328, 2023, 2607, 2007, 2033, 1012, 10748, 1999, 1996, 4382, 2088, 2031, 2363, 1996, 13301, 2007, 7619, 4752, 1010, 2293, 1998, 22645, 1012, 2085, 2027, 2024, 2746, 2091, 2006, 3011, 1012, 1996, 4850, 2594, 2088, 2347, 1521, 1056, 10190, 1012, 10748, 2024, 1999, 1996, 2597, 1997, 2019, 6422, 2567, 1012, 11557, 2730, 16768, 1010, 2061, 11557, 2064, 1521, 1056, 4607, 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 ]